TSTP Solution File: HWV045=1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : HWV045=1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Sep 17 02:12:44 EDT 2022

% Result   : Theorem 7.01s 4.79s
% Output   : Proof 10.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : HWV045=1 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 31 22:41:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 7.01/4.79  % SZS status Theorem
% 7.01/4.79  % SZS output start Proof
% 7.01/4.79  tff(v193_type, type, (
% 7.01/4.79     v193: state_type > $o)).
% 7.01/4.79  tff(constB187_type, type, (
% 7.01/4.79     constB187: state_type)).
% 7.01/4.79  tff(tptp_fun_VarCurr_0_type, type, (
% 7.01/4.79     tptp_fun_VarCurr_0: state_type)).
% 7.01/4.79  tff(constB83_type, type, (
% 7.01/4.79     constB83: state_type)).
% 7.01/4.79  tff(v157_type, type, (
% 7.01/4.79     v157: state_type > $o)).
% 7.01/4.79  tff(v206_type, type, (
% 7.01/4.79     v206: state_type > $o)).
% 7.01/4.79  tff(v205_type, type, (
% 7.01/4.79     v205: state_type > $o)).
% 7.01/4.79  tff(v82_type, type, (
% 7.01/4.79     v82: state_type > $o)).
% 7.01/4.79  tff(reachableState_type, type, (
% 7.01/4.79     reachableState: state_type > $o)).
% 7.01/4.79  tff(v191_type, type, (
% 7.01/4.79     v191: state_type > $o)).
% 7.01/4.79  tff(constB82_type, type, (
% 7.01/4.79     constB82: state_type)).
% 7.01/4.79  tff(nextState_type, type, (
% 7.01/4.79     nextState: ( state_type * state_type ) > $o)).
% 7.01/4.79  tff(v198_type, type, (
% 7.01/4.79     v198: state_type > $o)).
% 7.01/4.79  tff(v194_type, type, (
% 7.01/4.79     v194: state_type > $o)).
% 7.01/4.79  tff(v200_type, type, (
% 7.01/4.79     v200: state_type > $o)).
% 7.01/4.79  tff(v199_type, type, (
% 7.01/4.79     v199: state_type > $o)).
% 7.01/4.79  tff(v201_type, type, (
% 7.01/4.79     v201: state_type > $o)).
% 7.01/4.79  tff(v197_type, type, (
% 7.01/4.79     v197: state_type > $o)).
% 7.01/4.79  tff(v9_type, type, (
% 7.01/4.79     v9: state_type > $o)).
% 7.01/4.79  tff(v39_type, type, (
% 7.01/4.79     v39: state_type > $o)).
% 7.01/4.79  tff(v1_type, type, (
% 7.01/4.79     v1: state_type > $o)).
% 7.01/4.79  tff(v195_type, type, (
% 7.01/4.79     v195: state_type > $o)).
% 7.01/4.79  tff(constB81_type, type, (
% 7.01/4.79     constB81: state_type)).
% 7.01/4.79  tff(v196_type, type, (
% 7.01/4.79     v196: state_type > $o)).
% 7.01/4.79  tff(v26_type, type, (
% 7.01/4.79     v26: state_type > $o)).
% 7.01/4.79  tff(v13_type, type, (
% 7.01/4.79     v13: state_type > $o)).
% 7.01/4.79  tff(v6_type, type, (
% 7.01/4.79     v6: state_type > $o)).
% 7.01/4.79  tff(v21_type, type, (
% 7.01/4.79     v21: state_type > $o)).
% 7.01/4.79  tff(v20_type, type, (
% 7.01/4.79     v20: state_type > $o)).
% 7.01/4.79  tff(v19_type, type, (
% 7.01/4.79     v19: state_type > $o)).
% 7.01/4.79  tff(v22_type, type, (
% 7.01/4.79     v22: state_type > $o)).
% 7.01/4.79  tff(v18_type, type, (
% 7.01/4.79     v18: state_type > $o)).
% 7.01/4.79  tff(v4_type, type, (
% 7.01/4.79     v4: state_type > $o)).
% 7.01/4.79  tff(v161_type, type, (
% 7.01/4.79     v161: state_type > $o)).
% 7.01/4.79  tff(v159_type, type, (
% 7.01/4.79     v159: state_type > $o)).
% 7.01/4.79  tff(constB80_type, type, (
% 7.01/4.79     constB80: state_type)).
% 7.01/4.79  tff(v179_type, type, (
% 7.01/4.79     v179: state_type > $o)).
% 7.01/4.79  tff(v180_type, type, (
% 7.01/4.79     v180: state_type > $o)).
% 7.01/4.79  tff(v181_type, type, (
% 7.01/4.79     v181: state_type > $o)).
% 7.01/4.79  tff(v186_type, type, (
% 7.01/4.79     v186: state_type > $o)).
% 7.01/4.79  tff(constB79_type, type, (
% 7.01/4.79     constB79: state_type)).
% 7.01/4.79  tff(v104_type, type, (
% 7.01/4.79     v104: state_type > $o)).
% 7.01/4.79  tff(v163_type, type, (
% 7.01/4.79     v163: state_type > $o)).
% 7.01/4.79  tff(v170_type, type, (
% 7.01/4.79     v170: state_type > $o)).
% 7.01/4.79  tff(v166_type, type, (
% 7.01/4.79     v166: state_type > $o)).
% 7.01/4.79  tff(v167_type, type, (
% 7.01/4.79     v167: state_type > $o)).
% 7.01/4.79  tff(v145_type, type, (
% 7.01/4.79     v145: state_type > $o)).
% 7.01/4.79  tff(v168_type, type, (
% 7.01/4.79     v168: state_type > $o)).
% 7.01/4.79  tff(v142_type, type, (
% 7.01/4.79     v142: state_type > $o)).
% 7.01/4.79  tff(v169_type, type, (
% 7.01/4.79     v169: state_type > $o)).
% 7.01/4.79  tff(v141_type, type, (
% 7.01/4.79     v141: state_type > $o)).
% 7.01/4.79  tff(v88_type, type, (
% 7.01/4.79     v88: ( state_type * $int ) > $o)).
% 7.01/4.79  tff(v90_type, type, (
% 7.01/4.79     v90: ( state_type * $int ) > $o)).
% 7.01/4.79  tff(constB78_type, type, (
% 7.01/4.79     constB78: state_type)).
% 7.01/4.79  tff(v100_type, type, (
% 7.01/4.79     v100: state_type > $o)).
% 7.01/4.79  tff(v110_type, type, (
% 7.01/4.79     v110: state_type > $o)).
% 7.01/4.79  tff(v101_type, type, (
% 7.01/4.79     v101: state_type > $o)).
% 7.01/4.79  tff(v102_type, type, (
% 7.01/4.79     v102: state_type > $o)).
% 7.01/4.79  tff(v129_type, type, (
% 7.01/4.79     v129: ( state_type * $int ) > $o)).
% 7.01/4.79  tff(v127_type, type, (
% 7.01/4.79     v127: ( state_type * $int ) > $o)).
% 7.01/4.79  tff(constB77_type, type, (
% 7.01/4.79     constB77: state_type)).
% 7.01/4.79  tff(v130_type, type, (
% 7.01/4.79     v130: ( state_type * $int ) > $o)).
% 7.01/4.79  tff(v111_type, type, (
% 7.01/4.79     v111: state_type > $o)).
% 7.01/4.79  tff(v121_type, type, (
% 7.01/4.79     v121: state_type > $o)).
% 7.01/4.79  tff(constB76_type, type, (
% 7.01/4.79     constB76: state_type)).
% 7.01/4.79  tff(constB75_type, type, (
% 7.01/4.79     constB75: state_type)).
% 7.01/4.79  tff(v120_type, type, (
% 7.01/4.79     v120: state_type > $o)).
% 7.01/4.79  tff(constB74_type, type, (
% 7.01/4.79     constB74: state_type)).
% 7.01/4.79  tff(constB73_type, type, (
% 7.01/4.79     constB73: state_type)).
% 7.01/4.79  tff(v119_type, type, (
% 7.01/4.79     v119: state_type > $o)).
% 7.01/4.79  tff(constB72_type, type, (
% 7.01/4.79     constB72: state_type)).
% 7.01/4.79  tff(constB71_type, type, (
% 7.01/4.79     constB71: state_type)).
% 7.01/4.79  tff(v124_type, type, (
% 7.01/4.79     v124: state_type > $o)).
% 7.01/4.79  tff(constB70_type, type, (
% 7.01/4.79     constB70: state_type)).
% 7.01/4.79  tff(constB69_type, type, (
% 7.01/4.79     constB69: state_type)).
% 7.01/4.79  tff(v123_type, type, (
% 7.01/4.79     v123: state_type > $o)).
% 7.01/4.79  tff(constB68_type, type, (
% 7.01/4.79     constB68: state_type)).
% 7.01/4.79  tff(constB67_type, type, (
% 7.01/4.79     constB67: state_type)).
% 7.01/4.79  tff(v122_type, type, (
% 7.01/4.79     v122: state_type > $o)).
% 7.01/4.79  tff(constB66_type, type, (
% 7.01/4.79     constB66: state_type)).
% 7.01/4.79  tff(constB65_type, type, (
% 7.01/4.79     constB65: state_type)).
% 7.01/4.79  tff(constB64_type, type, (
% 7.01/4.79     constB64: state_type)).
% 7.01/4.79  tff(constB63_type, type, (
% 7.01/4.79     constB63: state_type)).
% 7.01/4.79  tff(constB62_type, type, (
% 7.01/4.79     constB62: state_type)).
% 7.01/4.79  tff(constB61_type, type, (
% 7.01/4.79     constB61: state_type)).
% 7.01/4.79  tff(constB60_type, type, (
% 7.01/4.79     constB60: state_type)).
% 7.01/4.79  tff(constB59_type, type, (
% 7.01/4.79     constB59: state_type)).
% 7.01/4.79  tff(constB58_type, type, (
% 7.01/4.79     constB58: state_type)).
% 7.01/4.79  tff(constB57_type, type, (
% 7.01/4.79     constB57: state_type)).
% 7.01/4.79  tff(constB56_type, type, (
% 7.01/4.79     constB56: state_type)).
% 7.01/4.79  tff(constB55_type, type, (
% 7.01/4.79     constB55: state_type)).
% 7.01/4.79  tff(constB54_type, type, (
% 7.01/4.79     constB54: state_type)).
% 7.01/4.79  tff(constB53_type, type, (
% 7.01/4.79     constB53: state_type)).
% 7.01/4.79  tff(constB52_type, type, (
% 7.01/4.79     constB52: state_type)).
% 7.01/4.79  tff(constB51_type, type, (
% 7.01/4.79     constB51: state_type)).
% 7.01/4.79  tff(constB50_type, type, (
% 7.01/4.79     constB50: state_type)).
% 7.01/4.79  tff(constB49_type, type, (
% 7.01/4.79     constB49: state_type)).
% 7.01/4.79  tff(constB48_type, type, (
% 7.01/4.79     constB48: state_type)).
% 7.01/4.79  tff(constB47_type, type, (
% 7.01/4.79     constB47: state_type)).
% 7.01/4.79  tff(constB46_type, type, (
% 7.01/4.79     constB46: state_type)).
% 7.01/4.79  tff(constB45_type, type, (
% 7.01/4.79     constB45: state_type)).
% 7.01/4.79  tff(constB44_type, type, (
% 7.01/4.79     constB44: state_type)).
% 7.01/4.79  tff(constB43_type, type, (
% 7.01/4.79     constB43: state_type)).
% 7.01/4.79  tff(constB42_type, type, (
% 7.01/4.79     constB42: state_type)).
% 7.01/4.79  tff(constB41_type, type, (
% 7.01/4.79     constB41: state_type)).
% 7.01/4.79  tff(constB40_type, type, (
% 7.01/4.79     constB40: state_type)).
% 7.01/4.79  tff(constB39_type, type, (
% 7.01/4.79     constB39: state_type)).
% 7.01/4.79  tff(constB38_type, type, (
% 7.01/4.79     constB38: state_type)).
% 7.01/4.79  tff(constB37_type, type, (
% 7.01/4.79     constB37: state_type)).
% 7.01/4.79  tff(constB36_type, type, (
% 7.01/4.79     constB36: state_type)).
% 7.01/4.79  tff(constB35_type, type, (
% 7.01/4.79     constB35: state_type)).
% 7.01/4.79  tff(constB34_type, type, (
% 7.01/4.79     constB34: state_type)).
% 7.01/4.79  tff(constB33_type, type, (
% 7.01/4.79     constB33: state_type)).
% 7.01/4.79  tff(constB32_type, type, (
% 7.01/4.79     constB32: state_type)).
% 7.01/4.79  tff(constB31_type, type, (
% 7.01/4.79     constB31: state_type)).
% 7.01/4.79  tff(constB30_type, type, (
% 7.01/4.79     constB30: state_type)).
% 7.01/4.79  tff(constB29_type, type, (
% 7.01/4.79     constB29: state_type)).
% 7.01/4.79  tff(constB28_type, type, (
% 7.01/4.79     constB28: state_type)).
% 7.01/4.79  tff(constB27_type, type, (
% 7.01/4.79     constB27: state_type)).
% 7.01/4.79  tff(constB26_type, type, (
% 7.01/4.79     constB26: state_type)).
% 7.01/4.79  tff(constB25_type, type, (
% 7.01/4.79     constB25: state_type)).
% 7.01/4.79  tff(constB24_type, type, (
% 7.01/4.79     constB24: state_type)).
% 7.01/4.79  tff(constB23_type, type, (
% 7.01/4.79     constB23: state_type)).
% 7.01/4.79  tff(constB22_type, type, (
% 7.01/4.79     constB22: state_type)).
% 7.01/4.79  tff(constB21_type, type, (
% 7.01/4.79     constB21: state_type)).
% 7.01/4.79  tff(constB20_type, type, (
% 7.01/4.79     constB20: state_type)).
% 7.01/4.79  tff(constB19_type, type, (
% 7.01/4.79     constB19: state_type)).
% 7.01/4.79  tff(constB18_type, type, (
% 7.01/4.79     constB18: state_type)).
% 7.01/4.79  tff(constB17_type, type, (
% 7.01/4.79     constB17: state_type)).
% 7.01/4.79  tff(constB16_type, type, (
% 7.01/4.79     constB16: state_type)).
% 7.01/4.79  tff(constB15_type, type, (
% 7.01/4.79     constB15: state_type)).
% 7.01/4.79  tff(constB14_type, type, (
% 7.01/4.79     constB14: state_type)).
% 7.01/4.79  tff(constB13_type, type, (
% 7.01/4.79     constB13: state_type)).
% 7.01/4.79  tff(constB12_type, type, (
% 7.01/4.79     constB12: state_type)).
% 7.01/4.79  tff(constB11_type, type, (
% 7.01/4.79     constB11: state_type)).
% 7.01/4.79  tff(constB10_type, type, (
% 7.01/4.79     constB10: state_type)).
% 7.01/4.79  tff(constB9_type, type, (
% 7.01/4.79     constB9: state_type)).
% 7.01/4.79  tff(constB8_type, type, (
% 7.01/4.79     constB8: state_type)).
% 7.01/4.79  tff(constB7_type, type, (
% 7.01/4.79     constB7: state_type)).
% 7.01/4.79  tff(constB6_type, type, (
% 7.01/4.79     constB6: state_type)).
% 7.01/4.79  tff(constB5_type, type, (
% 7.01/4.79     constB5: state_type)).
% 7.01/4.79  tff(constB4_type, type, (
% 7.01/4.79     constB4: state_type)).
% 7.01/4.79  tff(constB3_type, type, (
% 7.01/4.79     constB3: state_type)).
% 7.01/4.79  tff(constB2_type, type, (
% 7.01/4.79     constB2: state_type)).
% 7.01/4.79  tff(constB1_type, type, (
% 7.01/4.79     constB1: state_type)).
% 7.01/4.79  tff(constB0_type, type, (
% 7.01/4.79     constB0: state_type)).
% 7.01/4.79  tff(v108_type, type, (
% 7.01/4.79     v108: state_type > $o)).
% 7.01/4.79  tff(v112_type, type, (
% 7.01/4.79     v112: state_type > $o)).
% 7.01/4.79  tff(v126_type, type, (
% 7.01/4.79     v126: state_type > $o)).
% 7.01/4.79  tff(v113_type, type, (
% 7.01/4.79     v113: state_type > $o)).
% 7.01/4.79  tff(v125_type, type, (
% 7.01/4.79     v125: state_type > $o)).
% 7.01/4.79  tff(v114_type, type, (
% 7.01/4.79     v114: state_type > $o)).
% 7.01/4.79  tff(v115_type, type, (
% 7.01/4.79     v115: state_type > $o)).
% 7.01/4.79  tff(v116_type, type, (
% 7.01/4.79     v116: state_type > $o)).
% 7.01/4.79  tff(v117_type, type, (
% 7.01/4.79     v117: state_type > $o)).
% 7.01/4.79  tff(v118_type, type, (
% 7.01/4.79     v118: state_type > $o)).
% 7.01/4.79  tff(v171_type, type, (
% 7.01/4.79     v171: state_type > $o)).
% 7.01/4.79  tff(v150_type, type, (
% 7.01/4.79     v150: state_type > $o)).
% 7.01/4.79  tff(v151_type, type, (
% 7.01/4.79     v151: state_type > $o)).
% 7.01/4.79  tff(v86_type, type, (
% 7.01/4.79     v86: state_type > $o)).
% 7.01/4.79  tff(v84_type, type, (
% 7.01/4.79     v84: state_type > $o)).
% 7.01/4.79  tff(v208_type, type, (
% 7.01/4.79     v208: state_type > $o)).
% 7.01/4.79  tff(v207_type, type, (
% 7.01/4.79     v207: state_type > $o)).
% 7.01/4.79  tff(v148_type, type, (
% 7.01/4.79     v148: state_type > $o)).
% 7.01/4.79  tff(v135_type, type, (
% 7.01/4.79     v135: state_type > $o)).
% 7.01/4.79  tff(v136_type, type, (
% 7.01/4.79     v136: state_type > $o)).
% 7.01/4.79  tff(v137_type, type, (
% 7.01/4.79     v137: state_type > $o)).
% 7.01/4.79  tff(v144_type, type, (
% 7.01/4.79     v144: state_type > $o)).
% 7.01/4.79  tff(v143_type, type, (
% 7.01/4.79     v143: state_type > $o)).
% 7.01/4.79  tff(constB117_type, type, (
% 7.01/4.79     constB117: state_type)).
% 7.01/4.79  tff(constB116_type, type, (
% 7.01/4.79     constB116: state_type)).
% 7.01/4.79  tff(constB115_type, type, (
% 7.01/4.79     constB115: state_type)).
% 7.01/4.79  tff(constB114_type, type, (
% 7.01/4.79     constB114: state_type)).
% 7.01/4.79  tff(constB113_type, type, (
% 7.01/4.79     constB113: state_type)).
% 7.01/4.79  tff(constB112_type, type, (
% 7.01/4.79     constB112: state_type)).
% 7.01/4.79  tff(constB111_type, type, (
% 7.01/4.79     constB111: state_type)).
% 7.01/4.79  tff(constB110_type, type, (
% 7.01/4.79     constB110: state_type)).
% 7.01/4.79  tff(constB109_type, type, (
% 7.01/4.79     constB109: state_type)).
% 7.01/4.79  tff(constB108_type, type, (
% 7.01/4.79     constB108: state_type)).
% 7.01/4.79  tff(constB107_type, type, (
% 7.01/4.79     constB107: state_type)).
% 7.01/4.79  tff(constB106_type, type, (
% 7.01/4.79     constB106: state_type)).
% 7.01/4.79  tff(constB105_type, type, (
% 7.01/4.79     constB105: state_type)).
% 7.01/4.79  tff(constB104_type, type, (
% 7.01/4.79     constB104: state_type)).
% 7.01/4.79  tff(constB103_type, type, (
% 7.01/4.79     constB103: state_type)).
% 7.01/4.79  tff(constB102_type, type, (
% 7.01/4.79     constB102: state_type)).
% 7.01/4.79  tff(constB101_type, type, (
% 7.01/4.79     constB101: state_type)).
% 7.01/4.79  tff(constB100_type, type, (
% 7.01/4.79     constB100: state_type)).
% 7.01/4.79  tff(constB99_type, type, (
% 7.01/4.79     constB99: state_type)).
% 7.01/4.79  tff(constB98_type, type, (
% 7.01/4.79     constB98: state_type)).
% 7.01/4.79  tff(constB97_type, type, (
% 7.01/4.79     constB97: state_type)).
% 7.01/4.79  tff(constB96_type, type, (
% 7.01/4.79     constB96: state_type)).
% 7.01/4.79  tff(constB95_type, type, (
% 7.01/4.79     constB95: state_type)).
% 7.01/4.79  tff(constB94_type, type, (
% 7.01/4.79     constB94: state_type)).
% 7.01/4.79  tff(constB93_type, type, (
% 7.01/4.79     constB93: state_type)).
% 7.01/4.79  tff(constB92_type, type, (
% 7.01/4.79     constB92: state_type)).
% 7.01/4.79  tff(constB91_type, type, (
% 7.01/4.79     constB91: state_type)).
% 7.01/4.79  tff(constB90_type, type, (
% 7.01/4.79     constB90: state_type)).
% 7.01/4.79  tff(constB89_type, type, (
% 7.01/4.79     constB89: state_type)).
% 7.01/4.79  tff(constB88_type, type, (
% 7.01/4.79     constB88: state_type)).
% 7.01/4.79  tff(constB87_type, type, (
% 7.01/4.79     constB87: state_type)).
% 7.01/4.79  tff(constB86_type, type, (
% 7.01/4.79     constB86: state_type)).
% 7.01/4.79  tff(constB85_type, type, (
% 7.01/4.79     constB85: state_type)).
% 7.01/4.79  tff(constB84_type, type, (
% 7.01/4.79     constB84: state_type)).
% 7.01/4.79  tff(constB197_type, type, (
% 7.01/4.79     constB197: state_type)).
% 7.01/4.79  tff(constB196_type, type, (
% 7.01/4.79     constB196: state_type)).
% 7.01/4.79  tff(constB195_type, type, (
% 7.01/4.79     constB195: state_type)).
% 7.01/4.79  tff(constB194_type, type, (
% 7.01/4.79     constB194: state_type)).
% 7.01/4.79  tff(constB193_type, type, (
% 7.01/4.79     constB193: state_type)).
% 7.01/4.79  tff(constB192_type, type, (
% 7.01/4.79     constB192: state_type)).
% 7.01/4.79  tff(constB191_type, type, (
% 7.01/4.79     constB191: state_type)).
% 7.01/4.79  tff(constB190_type, type, (
% 7.01/4.79     constB190: state_type)).
% 7.01/4.79  tff(constB189_type, type, (
% 7.01/4.79     constB189: state_type)).
% 7.01/4.79  tff(constB188_type, type, (
% 7.01/4.79     constB188: state_type)).
% 7.01/4.79  tff(constB186_type, type, (
% 7.01/4.79     constB186: state_type)).
% 7.01/4.79  tff(constB185_type, type, (
% 7.01/4.79     constB185: state_type)).
% 7.01/4.79  tff(constB184_type, type, (
% 7.01/4.79     constB184: state_type)).
% 7.01/4.79  tff(constB183_type, type, (
% 7.01/4.79     constB183: state_type)).
% 7.01/4.79  tff(constB182_type, type, (
% 7.01/4.79     constB182: state_type)).
% 7.01/4.79  tff(constB181_type, type, (
% 7.01/4.79     constB181: state_type)).
% 7.01/4.79  tff(constB180_type, type, (
% 7.01/4.79     constB180: state_type)).
% 7.01/4.79  tff(constB179_type, type, (
% 7.01/4.79     constB179: state_type)).
% 7.01/4.79  tff(constB178_type, type, (
% 7.01/4.79     constB178: state_type)).
% 7.01/4.79  tff(constB177_type, type, (
% 7.01/4.79     constB177: state_type)).
% 7.01/4.79  tff(constB176_type, type, (
% 7.01/4.79     constB176: state_type)).
% 7.01/4.79  tff(constB175_type, type, (
% 7.01/4.79     constB175: state_type)).
% 7.01/4.79  tff(constB174_type, type, (
% 7.01/4.79     constB174: state_type)).
% 7.01/4.79  tff(constB173_type, type, (
% 7.01/4.79     constB173: state_type)).
% 7.01/4.79  tff(constB172_type, type, (
% 7.01/4.79     constB172: state_type)).
% 7.01/4.79  tff(constB171_type, type, (
% 7.01/4.79     constB171: state_type)).
% 7.01/4.79  tff(constB170_type, type, (
% 7.01/4.79     constB170: state_type)).
% 7.01/4.79  tff(constB169_type, type, (
% 7.01/4.79     constB169: state_type)).
% 7.01/4.79  tff(constB168_type, type, (
% 7.01/4.79     constB168: state_type)).
% 7.01/4.79  tff(constB167_type, type, (
% 7.01/4.79     constB167: state_type)).
% 7.01/4.79  tff(constB166_type, type, (
% 7.01/4.79     constB166: state_type)).
% 7.01/4.79  tff(constB165_type, type, (
% 7.01/4.79     constB165: state_type)).
% 7.01/4.79  tff(constB164_type, type, (
% 7.01/4.79     constB164: state_type)).
% 7.01/4.79  tff(constB163_type, type, (
% 7.01/4.79     constB163: state_type)).
% 7.01/4.79  tff(constB162_type, type, (
% 7.01/4.79     constB162: state_type)).
% 7.01/4.79  tff(constB161_type, type, (
% 7.01/4.79     constB161: state_type)).
% 7.01/4.79  tff(constB160_type, type, (
% 7.01/4.79     constB160: state_type)).
% 7.01/4.79  tff(constB159_type, type, (
% 7.01/4.79     constB159: state_type)).
% 7.01/4.79  tff(constB158_type, type, (
% 7.01/4.79     constB158: state_type)).
% 7.01/4.79  tff(constB157_type, type, (
% 7.01/4.79     constB157: state_type)).
% 7.01/4.79  tff(constB156_type, type, (
% 7.01/4.79     constB156: state_type)).
% 7.01/4.79  tff(constB155_type, type, (
% 7.01/4.79     constB155: state_type)).
% 7.01/4.79  tff(constB154_type, type, (
% 7.01/4.79     constB154: state_type)).
% 7.01/4.79  tff(constB153_type, type, (
% 7.01/4.79     constB153: state_type)).
% 7.01/4.79  tff(constB152_type, type, (
% 7.01/4.79     constB152: state_type)).
% 7.01/4.79  tff(constB151_type, type, (
% 7.01/4.79     constB151: state_type)).
% 7.01/4.79  tff(constB150_type, type, (
% 7.01/4.79     constB150: state_type)).
% 7.01/4.79  tff(constB149_type, type, (
% 7.01/4.79     constB149: state_type)).
% 7.01/4.79  tff(constB148_type, type, (
% 7.01/4.79     constB148: state_type)).
% 7.01/4.79  tff(constB147_type, type, (
% 7.01/4.79     constB147: state_type)).
% 7.01/4.79  tff(constB146_type, type, (
% 7.01/4.79     constB146: state_type)).
% 7.01/4.79  tff(constB145_type, type, (
% 7.01/4.79     constB145: state_type)).
% 7.01/4.79  tff(constB144_type, type, (
% 7.01/4.79     constB144: state_type)).
% 7.01/4.79  tff(constB143_type, type, (
% 7.01/4.79     constB143: state_type)).
% 7.01/4.79  tff(constB142_type, type, (
% 7.01/4.79     constB142: state_type)).
% 7.01/4.79  tff(constB141_type, type, (
% 7.01/4.79     constB141: state_type)).
% 7.01/4.79  tff(constB140_type, type, (
% 7.01/4.79     constB140: state_type)).
% 7.01/4.79  tff(constB139_type, type, (
% 7.01/4.79     constB139: state_type)).
% 7.01/4.79  tff(constB138_type, type, (
% 7.01/4.79     constB138: state_type)).
% 7.01/4.79  tff(constB137_type, type, (
% 7.01/4.79     constB137: state_type)).
% 7.01/4.79  tff(constB136_type, type, (
% 7.01/4.79     constB136: state_type)).
% 7.01/4.79  tff(constB135_type, type, (
% 7.01/4.79     constB135: state_type)).
% 7.01/4.79  tff(constB134_type, type, (
% 7.01/4.79     constB134: state_type)).
% 7.01/4.79  tff(constB133_type, type, (
% 7.01/4.79     constB133: state_type)).
% 7.01/4.79  tff(constB132_type, type, (
% 7.01/4.79     constB132: state_type)).
% 7.01/4.79  tff(constB131_type, type, (
% 7.01/4.79     constB131: state_type)).
% 7.01/4.79  tff(constB130_type, type, (
% 7.01/4.79     constB130: state_type)).
% 7.01/4.79  tff(constB129_type, type, (
% 7.01/4.79     constB129: state_type)).
% 7.01/4.79  tff(constB128_type, type, (
% 7.01/4.79     constB128: state_type)).
% 7.01/4.79  tff(constB127_type, type, (
% 7.01/4.79     constB127: state_type)).
% 7.01/4.79  tff(constB126_type, type, (
% 7.01/4.79     constB126: state_type)).
% 7.01/4.79  tff(constB125_type, type, (
% 7.01/4.79     constB125: state_type)).
% 7.01/4.79  tff(constB124_type, type, (
% 7.01/4.79     constB124: state_type)).
% 7.01/4.79  tff(constB123_type, type, (
% 7.01/4.79     constB123: state_type)).
% 7.01/4.79  tff(constB122_type, type, (
% 7.01/4.79     constB122: state_type)).
% 7.01/4.79  tff(constB121_type, type, (
% 7.01/4.79     constB121: state_type)).
% 7.01/4.79  tff(constB120_type, type, (
% 7.01/4.79     constB120: state_type)).
% 7.01/4.79  tff(constB119_type, type, (
% 7.01/4.79     constB119: state_type)).
% 7.01/4.79  tff(constB118_type, type, (
% 7.01/4.79     constB118: state_type)).
% 7.01/4.79  tff(constB199_type, type, (
% 7.01/4.79     constB199: state_type)).
% 7.01/4.79  tff(constB198_type, type, (
% 7.01/4.79     constB198: state_type)).
% 7.01/4.79  tff(constB200_type, type, (
% 7.01/4.79     constB200: state_type)).
% 7.01/4.79  tff(1,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 7.01/4.79  tff(2,plain,
% 7.01/4.79      (v193(constB83) <=> v193(VarCurr!0)),
% 7.01/4.79      inference(monotonicity,[status(thm)],[1])).
% 7.01/4.79  tff(3,plain,
% 7.01/4.79      (v193(VarCurr!0) <=> v193(constB83)),
% 7.01/4.79      inference(symmetry,[status(thm)],[2])).
% 7.01/4.79  tff(4,plain,
% 7.01/4.79      (^[VarNext: state_type] : refl((v157(VarNext) <=> v193(VarNext)) <=> (v157(VarNext) <=> v193(VarNext)))),
% 7.01/4.79      inference(bind,[status(th)],[])).
% 7.01/4.79  tff(5,plain,
% 7.01/4.79      (![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.79      inference(quant_intro,[status(thm)],[4])).
% 7.01/4.79  tff(6,plain,
% 7.01/4.79      (![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.79      inference(rewrite,[status(thm)],[])).
% 7.01/4.79  tff(7,plain,
% 7.01/4.79      (^[VarNext: state_type] : rewrite(($true => (v157(VarNext) <=> v193(VarNext))) <=> (v157(VarNext) <=> v193(VarNext)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(8,plain,
% 7.01/4.80      (![VarNext: state_type] : ($true => (v157(VarNext) <=> v193(VarNext))) <=> ![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[7])).
% 7.01/4.80  tff(9,axiom,(![VarNext: state_type] : ($true => (v157(VarNext) <=> v193(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 7.01/4.80  tff(10,plain,
% 7.01/4.80      (![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[9, 8])).
% 7.01/4.80  tff(11,plain,
% 7.01/4.80      (![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[10, 6])).
% 7.01/4.80  tff(12,plain,(
% 7.01/4.80      ![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.80      inference(skolemize,[status(sab)],[11])).
% 7.01/4.80  tff(13,plain,
% 7.01/4.80      (![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[12, 5])).
% 7.01/4.80  tff(14,plain,
% 7.01/4.80      ((~![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))) | (v157(VarCurr!0) <=> v193(VarCurr!0))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(15,plain,
% 7.01/4.80      (v157(VarCurr!0) <=> v193(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[14, 13])).
% 7.01/4.80  tff(16,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(17,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[16])).
% 7.01/4.80  tff(18,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(19,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[18])).
% 7.01/4.80  tff(20,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(21,axiom,(![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53')).
% 7.01/4.80  tff(22,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[21, 20])).
% 7.01/4.80  tff(23,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[22])).
% 7.01/4.80  tff(24,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[23, 19])).
% 7.01/4.80  tff(25,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[24, 17])).
% 7.01/4.80  tff(26,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))) | (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(27,plain,
% 7.01/4.80      (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[26, 25])).
% 7.01/4.80  tff(28,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(((~v82(VarCurr)) <=> v205(VarCurr)) <=> ((~v82(VarCurr)) <=> v205(VarCurr)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(29,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[28])).
% 7.01/4.80  tff(30,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(31,axiom,(![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_18')).
% 7.01/4.80  tff(32,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[31, 30])).
% 7.01/4.80  tff(33,plain,(
% 7.01/4.80      ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 7.01/4.80      inference(skolemize,[status(sab)],[32])).
% 7.01/4.80  tff(34,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[33, 29])).
% 7.01/4.80  tff(35,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v82(VarCurr)) <=> v205(VarCurr))) | ((~v82(VarCurr!0)) <=> v205(VarCurr!0))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(36,plain,
% 7.01/4.80      ((~v82(VarCurr!0)) <=> v205(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[35, 34])).
% 7.01/4.80  tff(37,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(38,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(39,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 7.01/4.80  tff(40,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[39, 38])).
% 7.01/4.80  tff(41,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[40, 37])).
% 7.01/4.80  tff(42,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[41, 37])).
% 7.01/4.80  tff(43,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[42, 37])).
% 7.01/4.80  tff(44,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[43, 37])).
% 7.01/4.80  tff(45,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[44, 37])).
% 7.01/4.80  tff(46,plain,
% 7.01/4.80      (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[45, 37])).
% 7.01/4.80  tff(47,plain,(
% 7.01/4.80      ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[46])).
% 7.01/4.80  tff(48,plain,
% 7.01/4.80      (~v82(VarCurr!0)),
% 7.01/4.80      inference(or_elim,[status(thm)],[47])).
% 7.01/4.80  tff(49,plain,
% 7.01/4.80      ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v82(VarCurr!0) | v205(VarCurr!0)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(50,plain,
% 7.01/4.80      ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v205(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[49, 48])).
% 7.01/4.80  tff(51,plain,
% 7.01/4.80      (v205(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[50, 36])).
% 7.01/4.80  tff(52,plain,
% 7.01/4.80      ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~v205(VarCurr!0)) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(53,plain,
% 7.01/4.80      ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[52, 51])).
% 7.01/4.80  tff(54,plain,
% 7.01/4.80      (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[53, 27])).
% 7.01/4.80  tff(55,plain,
% 7.01/4.80      (((~v206(VarCurr!0)) | (~v157(VarCurr!0))) | v157(VarCurr!0)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(56,plain,
% 7.01/4.80      (v157(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[55, 54])).
% 7.01/4.80  tff(57,plain,
% 7.01/4.80      ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | (~v157(VarCurr!0)) | v193(VarCurr!0)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(58,plain,
% 7.01/4.80      ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | v193(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[57, 56])).
% 7.01/4.80  tff(59,plain,
% 7.01/4.80      (v193(VarCurr!0)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[58, 15])).
% 7.01/4.80  tff(60,plain,
% 7.01/4.80      (v193(constB83)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[59, 3])).
% 7.01/4.80  tff(61,plain,
% 7.01/4.80      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(62,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[61])).
% 7.01/4.80  tff(63,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(64,plain,
% 7.01/4.80      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(65,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[64])).
% 7.01/4.80  tff(66,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12')).
% 7.01/4.80  tff(67,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[66, 65])).
% 7.01/4.80  tff(68,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[67, 63])).
% 7.01/4.80  tff(69,plain,(
% 7.01/4.80      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[68])).
% 7.01/4.80  tff(70,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[69, 62])).
% 7.01/4.80  tff(71,plain,
% 7.01/4.80      (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(72,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 7.01/4.80  tff(73,plain,
% 7.01/4.80      (nextState(constB82, constB83)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[72, 71])).
% 7.01/4.80  tff(74,plain,
% 7.01/4.80      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(75,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(76,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[75, 74])).
% 7.01/4.80  tff(77,plain,
% 7.01/4.80      (v193(constB83) <=> v191(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 7.01/4.80  tff(78,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(79,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[78])).
% 7.01/4.80  tff(80,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(81,axiom,(![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50')).
% 7.01/4.80  tff(82,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[81, 80])).
% 7.01/4.80  tff(83,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[82])).
% 7.01/4.80  tff(84,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[83, 79])).
% 7.01/4.80  tff(85,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB82) <=> (v194(constB82) | v198(constB82)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(86,plain,
% 7.01/4.80      (v191(constB82) <=> (v194(constB82) | v198(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[85, 84])).
% 7.01/4.80  tff(87,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(88,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> ![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[87])).
% 7.01/4.80  tff(89,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(90,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[89])).
% 7.01/4.80  tff(91,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(92,axiom,(![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49')).
% 7.01/4.80  tff(93,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[92, 91])).
% 7.01/4.80  tff(94,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[93])).
% 7.01/4.80  tff(95,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[94, 90])).
% 7.01/4.80  tff(96,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[95, 88])).
% 7.01/4.80  tff(97,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(98,plain,
% 7.01/4.80      (v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[97, 96])).
% 7.01/4.80  tff(99,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(100,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> ![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[99])).
% 7.01/4.80  tff(101,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(102,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[101])).
% 7.01/4.80  tff(103,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(104,axiom,(![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48')).
% 7.01/4.80  tff(105,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[104, 103])).
% 7.01/4.80  tff(106,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[105])).
% 7.01/4.80  tff(107,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[106, 102])).
% 7.01/4.80  tff(108,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[107, 100])).
% 7.01/4.80  tff(109,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(110,plain,
% 7.01/4.80      (v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[109, 108])).
% 7.01/4.80  tff(111,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(112,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[111])).
% 7.01/4.80  tff(113,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(114,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[113])).
% 7.01/4.80  tff(115,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(116,axiom,(![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44')).
% 7.01/4.80  tff(117,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[116, 115])).
% 7.01/4.80  tff(118,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[117])).
% 7.01/4.80  tff(119,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[118, 114])).
% 7.01/4.80  tff(120,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[119, 112])).
% 7.01/4.80  tff(121,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(122,plain,
% 7.01/4.80      (v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[121, 120])).
% 7.01/4.80  tff(123,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(124,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[123])).
% 7.01/4.80  tff(125,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(126,axiom,(![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 7.01/4.80  tff(127,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[126, 125])).
% 7.01/4.80  tff(128,plain,(
% 7.01/4.80      ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.01/4.80      inference(skolemize,[status(sab)],[127])).
% 7.01/4.80  tff(129,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[128, 124])).
% 7.01/4.80  tff(130,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(131,plain,
% 7.01/4.80      ((~v39(constB82)) <=> v1(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[130, 129])).
% 7.01/4.80  tff(132,plain,
% 7.01/4.80      (v1(constB82) <=> v1(constB82)),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(133,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 7.01/4.80  tff(134,plain,
% 7.01/4.80      (v1(constB82)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[133, 132])).
% 7.01/4.80  tff(135,plain,
% 7.01/4.80      ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(136,plain,
% 7.01/4.80      ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[135, 134])).
% 7.01/4.80  tff(137,plain,
% 7.01/4.80      (~v39(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[136, 131])).
% 7.01/4.80  tff(138,plain,
% 7.01/4.80      (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(139,plain,
% 7.01/4.80      ((~v39(constB82)) | (~v9(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[138, 137])).
% 7.01/4.80  tff(140,plain,
% 7.01/4.80      ((~(v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v197(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(141,plain,
% 7.01/4.80      ((~(v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v197(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[140, 139])).
% 7.01/4.80  tff(142,plain,
% 7.01/4.80      (~v197(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[141, 122])).
% 7.01/4.80  tff(143,plain,
% 7.01/4.80      (((~v197(constB82)) | (~v201(constB82))) | v197(constB82)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(144,plain,
% 7.01/4.80      ((~v197(constB82)) | (~v201(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[143, 142])).
% 7.01/4.80  tff(145,plain,
% 7.01/4.80      ((~(v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))) | (~v200(constB82)) | (~((~v197(constB82)) | (~v201(constB82))))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(146,plain,
% 7.01/4.80      ((~(v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))) | (~v200(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[145, 144])).
% 7.01/4.80  tff(147,plain,
% 7.01/4.80      (~v200(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[146, 110])).
% 7.01/4.80  tff(148,plain,
% 7.01/4.80      (((~v199(constB82)) | (~v200(constB82))) | v200(constB82)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(149,plain,
% 7.01/4.80      ((~v199(constB82)) | (~v200(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[148, 147])).
% 7.01/4.80  tff(150,plain,
% 7.01/4.80      ((~(v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82)))))) | (~v198(constB82)) | (~((~v199(constB82)) | (~v200(constB82))))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(151,plain,
% 7.01/4.80      (~v198(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[150, 149, 98])).
% 7.01/4.80  tff(152,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(153,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[152])).
% 7.01/4.80  tff(154,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(155,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[154])).
% 7.01/4.80  tff(156,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(157,axiom,(![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46')).
% 7.01/4.80  tff(158,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[157, 156])).
% 7.01/4.80  tff(159,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[158])).
% 7.01/4.80  tff(160,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[159, 155])).
% 7.01/4.80  tff(161,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[160, 153])).
% 7.01/4.80  tff(162,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(163,plain,
% 7.01/4.80      ((v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82))))) <=> (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(164,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 7.01/4.80      inference(monotonicity,[status(thm)],[163])).
% 7.01/4.80  tff(165,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 7.01/4.80      inference(transitivity,[status(thm)],[164, 162])).
% 7.01/4.80  tff(166,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(167,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[166, 165])).
% 7.01/4.80  tff(168,plain,
% 7.01/4.80      (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[167, 161])).
% 7.01/4.80  tff(169,plain,
% 7.01/4.80      ((~![VarNext: state_type] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB82) <=> v193(constB82))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(170,plain,
% 7.01/4.80      (v157(constB82) <=> v193(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[169, 13])).
% 7.01/4.80  tff(171,plain,
% 7.01/4.80      (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(172,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 7.01/4.80  tff(173,plain,
% 7.01/4.80      (nextState(constB81, constB82)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[172, 171])).
% 7.01/4.80  tff(174,plain,
% 7.01/4.80      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(175,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(176,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[175, 174])).
% 7.01/4.80  tff(177,plain,
% 7.01/4.80      (v193(constB82) <=> v191(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[176, 173, 70])).
% 7.01/4.80  tff(178,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB81) <=> (v194(constB81) | v198(constB81)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(179,plain,
% 7.01/4.80      (v191(constB81) <=> (v194(constB81) | v198(constB81))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[178, 84])).
% 7.01/4.80  tff(180,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(181,plain,
% 7.01/4.80      ((v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81))))) <=> (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(182,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 7.01/4.80      inference(monotonicity,[status(thm)],[181])).
% 7.01/4.80  tff(183,plain,
% 7.01/4.80      (((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 7.01/4.80      inference(transitivity,[status(thm)],[182, 180])).
% 7.01/4.80  tff(184,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(185,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[184, 183])).
% 7.01/4.80  tff(186,plain,
% 7.01/4.80      (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[185, 161])).
% 7.01/4.80  tff(187,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(((~v195(VarCurr)) <=> v196(VarCurr)) <=> ((~v195(VarCurr)) <=> v196(VarCurr)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(188,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[187])).
% 7.01/4.80  tff(189,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(190,axiom,(![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_15')).
% 7.01/4.80  tff(191,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[190, 189])).
% 7.01/4.80  tff(192,plain,(
% 7.01/4.80      ![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 7.01/4.80      inference(skolemize,[status(sab)],[191])).
% 7.01/4.80  tff(193,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[192, 188])).
% 7.01/4.80  tff(194,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB81)) <=> v196(constB81))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(195,plain,
% 7.01/4.80      ((~v195(constB81)) <=> v196(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[194, 193])).
% 7.01/4.80  tff(196,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(197,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[196])).
% 7.01/4.80  tff(198,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(199,axiom,(![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45')).
% 7.01/4.80  tff(200,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[199, 198])).
% 7.01/4.80  tff(201,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[200])).
% 7.01/4.80  tff(202,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[201, 197])).
% 7.01/4.80  tff(203,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB81) <=> (v197(constB81) | v26(constB81)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(204,plain,
% 7.01/4.80      (v196(constB81) <=> (v197(constB81) | v26(constB81))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[203, 202])).
% 7.01/4.80  tff(205,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(206,plain,
% 7.01/4.80      (v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[205, 120])).
% 7.01/4.80  tff(207,plain,
% 7.01/4.80      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(208,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[207])).
% 7.01/4.80  tff(209,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(210,plain,
% 7.01/4.80      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(211,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[210])).
% 7.01/4.80  tff(212,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment')).
% 7.01/4.80  tff(213,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[212, 211])).
% 7.01/4.80  tff(214,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[213, 209])).
% 7.01/4.80  tff(215,plain,(
% 7.01/4.80      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[214])).
% 7.01/4.80  tff(216,plain,
% 7.01/4.80      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[215, 208])).
% 7.01/4.80  tff(217,plain,
% 7.01/4.80      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(218,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(219,plain,
% 7.01/4.80      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[218, 217])).
% 7.01/4.80  tff(220,plain,
% 7.01/4.80      (v13(constB82) <=> v9(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[219, 173, 216])).
% 7.01/4.80  tff(221,plain,
% 7.01/4.80      (^[VarNext: state_type] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(222,plain,
% 7.01/4.80      (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[221])).
% 7.01/4.80  tff(223,plain,
% 7.01/4.80      (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(224,plain,
% 7.01/4.80      (^[VarNext: state_type] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(225,plain,
% 7.01/4.80      (![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[224])).
% 7.01/4.80  tff(226,axiom,(![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 7.01/4.80  tff(227,plain,
% 7.01/4.80      (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[226, 225])).
% 7.01/4.80  tff(228,plain,
% 7.01/4.80      (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[227, 223])).
% 7.01/4.80  tff(229,plain,(
% 7.01/4.80      ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(skolemize,[status(sab)],[228])).
% 7.01/4.80  tff(230,plain,
% 7.01/4.80      (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[229, 222])).
% 7.01/4.80  tff(231,plain,
% 7.01/4.80      ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(232,plain,
% 7.01/4.80      (v6(constB82) <=> v13(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[231, 230])).
% 7.01/4.80  tff(233,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(234,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[233])).
% 7.01/4.80  tff(235,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(236,axiom,(![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 7.01/4.80  tff(237,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[236, 235])).
% 7.01/4.80  tff(238,plain,(
% 7.01/4.80      ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.01/4.80      inference(skolemize,[status(sab)],[237])).
% 7.01/4.80  tff(239,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[238, 234])).
% 7.01/4.80  tff(240,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(241,plain,
% 7.01/4.80      ((~v21(constB82)) <=> v6(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[240, 239])).
% 7.01/4.80  tff(242,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(243,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[242])).
% 7.01/4.80  tff(244,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(245,axiom,(![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges')).
% 7.01/4.80  tff(246,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[245, 244])).
% 7.01/4.80  tff(247,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[246])).
% 7.01/4.80  tff(248,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[247, 243])).
% 7.01/4.80  tff(249,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(250,plain,
% 7.01/4.80      (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[249, 248])).
% 7.01/4.80  tff(251,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(252,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[251])).
% 7.01/4.80  tff(253,plain,
% 7.01/4.80      (^[VarCurr: state_type] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(254,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[253])).
% 7.01/4.80  tff(255,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(256,axiom,(![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2')).
% 7.01/4.80  tff(257,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[256, 255])).
% 7.01/4.80  tff(258,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[257])).
% 7.01/4.80  tff(259,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[258, 254])).
% 7.01/4.80  tff(260,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[259, 252])).
% 7.01/4.80  tff(261,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(262,plain,
% 7.01/4.80      (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[261, 260])).
% 7.01/4.80  tff(263,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(264,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[263])).
% 7.01/4.80  tff(265,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(266,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 7.01/4.80  tff(267,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[266, 265])).
% 7.01/4.80  tff(268,plain,(
% 7.01/4.80      ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.01/4.80      inference(skolemize,[status(sab)],[267])).
% 7.01/4.80  tff(269,plain,
% 7.01/4.80      (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[268, 264])).
% 7.01/4.80  tff(270,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(271,plain,
% 7.01/4.80      ((~v4(constB82)) <=> v18(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[270, 269])).
% 7.01/4.80  tff(272,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(273,plain,
% 7.01/4.80      (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 7.01/4.80      inference(quant_intro,[status(thm)],[272])).
% 7.01/4.80  tff(274,plain,
% 7.01/4.80      (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(275,axiom,(![VarCurr: state_type] : v4(VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption')).
% 7.01/4.80  tff(276,plain,
% 7.01/4.80      (![VarCurr: state_type] : v4(VarCurr)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[275, 274])).
% 7.01/4.80  tff(277,plain,(
% 7.01/4.80      ![VarCurr: state_type] : v4(VarCurr)),
% 7.01/4.80      inference(skolemize,[status(sab)],[276])).
% 7.01/4.80  tff(278,plain,
% 7.01/4.80      (![VarCurr: state_type] : v4(VarCurr)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[277, 273])).
% 7.01/4.80  tff(279,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB82)),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(280,plain,
% 7.01/4.80      (v4(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[279, 278])).
% 7.01/4.80  tff(281,plain,
% 7.01/4.80      ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(282,plain,
% 7.01/4.80      (~v18(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[281, 280, 271])).
% 7.01/4.80  tff(283,plain,
% 7.01/4.80      ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(284,plain,
% 7.01/4.80      ((~v19(constB82)) | (~v22(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[283, 282, 262])).
% 7.01/4.80  tff(285,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(286,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[285])).
% 7.01/4.80  tff(287,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(288,axiom,(![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1')).
% 7.01/4.80  tff(289,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[288, 287])).
% 7.01/4.80  tff(290,plain,(
% 7.01/4.80      ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.01/4.80      inference(skolemize,[status(sab)],[289])).
% 7.01/4.80  tff(291,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[290, 286])).
% 7.01/4.80  tff(292,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(293,plain,
% 7.01/4.80      (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[292, 291])).
% 7.01/4.80  tff(294,plain,
% 7.01/4.80      ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(295,plain,
% 7.01/4.80      (v1(constB82) | v6(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[294, 134])).
% 7.01/4.80  tff(296,plain,
% 7.01/4.80      ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(297,plain,
% 7.01/4.80      ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[296, 295])).
% 7.01/4.80  tff(298,plain,
% 7.01/4.80      (v22(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[297, 293])).
% 7.01/4.80  tff(299,plain,
% 7.01/4.80      ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(300,plain,
% 7.01/4.80      ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[299, 298])).
% 7.01/4.80  tff(301,plain,
% 7.01/4.80      (~v19(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[300, 284])).
% 7.01/4.80  tff(302,plain,
% 7.01/4.80      ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(303,plain,
% 7.01/4.80      (~(v20(constB82) | v21(constB82))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[302, 301, 250])).
% 7.01/4.80  tff(304,plain,
% 7.01/4.80      ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(305,plain,
% 7.01/4.80      (~v21(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[304, 303])).
% 7.01/4.80  tff(306,plain,
% 7.01/4.80      ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(307,plain,
% 7.01/4.80      (v6(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[306, 305, 241])).
% 7.01/4.80  tff(308,plain,
% 7.01/4.80      ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(309,plain,
% 7.01/4.80      (v13(constB82)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[308, 307, 232])).
% 7.01/4.80  tff(310,plain,
% 7.01/4.80      ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(311,plain,
% 7.01/4.80      (v9(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[310, 309, 220])).
% 7.01/4.80  tff(312,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(313,plain,
% 7.01/4.80      ((~v39(constB81)) <=> v1(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[312, 129])).
% 7.01/4.80  tff(314,plain,
% 7.01/4.80      ((~v1(constB81)) <=> (~v1(constB81))),
% 7.01/4.80      inference(rewrite,[status(thm)],[])).
% 7.01/4.80  tff(315,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 7.01/4.80  tff(316,plain,
% 7.01/4.80      (~v1(constB81)),
% 7.01/4.80      inference(modus_ponens,[status(thm)],[315, 314])).
% 7.01/4.80  tff(317,plain,
% 7.01/4.80      ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(318,plain,
% 7.01/4.80      ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[317, 316])).
% 7.01/4.80  tff(319,plain,
% 7.01/4.80      (v39(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[318, 313])).
% 7.01/4.80  tff(320,plain,
% 7.01/4.80      ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(321,plain,
% 7.01/4.80      ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[320, 319])).
% 7.01/4.80  tff(322,plain,
% 7.01/4.80      (~((~v39(constB81)) | (~v9(constB81)))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[321, 311])).
% 7.01/4.80  tff(323,plain,
% 7.01/4.80      ((~(v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v197(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(324,plain,
% 7.01/4.80      (v197(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[323, 322, 206])).
% 7.01/4.80  tff(325,plain,
% 7.01/4.80      ((v197(constB81) | v26(constB81)) | (~v197(constB81))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(326,plain,
% 7.01/4.80      (v197(constB81) | v26(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[325, 324])).
% 7.01/4.80  tff(327,plain,
% 7.01/4.80      ((~(v196(constB81) <=> (v197(constB81) | v26(constB81)))) | v196(constB81) | (~(v197(constB81) | v26(constB81)))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(328,plain,
% 7.01/4.80      (v196(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[327, 326, 204])).
% 7.01/4.80  tff(329,plain,
% 7.01/4.80      ((~((~v195(constB81)) <=> v196(constB81))) | (~v195(constB81)) | (~v196(constB81))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(330,plain,
% 7.01/4.80      (~v195(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[329, 328, 195])).
% 7.01/4.80  tff(331,plain,
% 7.01/4.80      (((~v157(constB81)) | (~v195(constB81))) | v195(constB81)),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(332,plain,
% 7.01/4.80      ((~v157(constB81)) | (~v195(constB81))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[331, 330])).
% 7.01/4.80  tff(333,plain,
% 7.01/4.80      ((~(v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))) | (~v194(constB81)) | (~((~v157(constB81)) | (~v195(constB81))))),
% 7.01/4.80      inference(tautology,[status(thm)],[])).
% 7.01/4.80  tff(334,plain,
% 7.01/4.80      (~v194(constB81)),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[333, 332, 186])).
% 7.01/4.80  tff(335,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB81) <=> (~((~v199(constB81)) | (~v200(constB81)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(336,plain,
% 7.01/4.80      (v198(constB81) <=> (~((~v199(constB81)) | (~v200(constB81))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[335, 96])).
% 7.01/4.80  tff(337,plain,
% 7.01/4.80      ((~![VarCurr: state_type] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB81) <=> (~((~v197(constB81)) | (~v201(constB81)))))),
% 7.01/4.80      inference(quant_inst,[status(thm)],[])).
% 7.01/4.80  tff(338,plain,
% 7.01/4.80      (v200(constB81) <=> (~((~v197(constB81)) | (~v201(constB81))))),
% 7.01/4.80      inference(unit_resolution,[status(thm)],[337, 108])).
% 7.01/4.80  tff(339,plain,
% 7.01/4.80      (^[VarCurr: state_type] : refl((v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 7.01/4.80      inference(bind,[status(th)],[])).
% 7.01/4.80  tff(340,plain,
% 7.01/4.80      (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 7.01/4.80      inference(quant_intro,[status(thm)],[339])).
% 7.01/4.81  tff(341,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(342,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[341])).
% 7.01/4.81  tff(343,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(344,axiom,(![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47')).
% 7.01/4.81  tff(345,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[344, 343])).
% 7.01/4.81  tff(346,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[345])).
% 7.01/4.81  tff(347,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[346, 342])).
% 7.01/4.81  tff(348,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[347, 340])).
% 7.01/4.81  tff(349,plain,
% 7.01/4.81      ((~![VarCurr: state_type] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB81) <=> (~((~v159(constB81)) | (~v161(constB81)))))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(350,plain,
% 7.01/4.81      (v201(constB81) <=> (~((~v159(constB81)) | (~v161(constB81))))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[349, 348])).
% 7.01/4.81  tff(351,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(352,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[351])).
% 7.01/4.81  tff(353,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(354,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite((v179(VarNext) <=> (v180(VarNext) & $true)) <=> (v179(VarNext) <=> v180(VarNext))), ((nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> (nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))))), rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))), ((nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(355,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[354])).
% 7.01/4.81  tff(356,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43')).
% 7.01/4.81  tff(357,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[356, 355])).
% 7.01/4.81  tff(358,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[357, 353])).
% 7.01/4.81  tff(359,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[358])).
% 7.01/4.81  tff(360,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[359, 352])).
% 7.01/4.81  tff(361,plain,
% 7.01/4.81      (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(362,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 7.01/4.81  tff(363,plain,
% 7.01/4.81      (nextState(constB80, constB81)),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[362, 361])).
% 7.01/4.81  tff(364,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB80, constB81)) | (v179(constB81) <=> v180(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB80, constB81)) | (v179(constB81) <=> v180(constB81)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(365,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB80, constB81)) | (v179(constB81) <=> v180(constB81)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(366,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB80, constB81)) | (v179(constB81) <=> v180(constB81))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[365, 364])).
% 7.01/4.81  tff(367,plain,
% 7.01/4.81      (v179(constB81) <=> v180(constB81)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[366, 363, 360])).
% 7.01/4.81  tff(368,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(369,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[368])).
% 7.01/4.81  tff(370,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(371,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[370])).
% 7.01/4.81  tff(372,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(373,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(374,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[373])).
% 7.01/4.81  tff(375,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42')).
% 7.01/4.81  tff(376,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[375, 374])).
% 7.01/4.81  tff(377,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[376, 372])).
% 7.01/4.81  tff(378,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 7.01/4.81      inference(skolemize,[status(sab)],[377])).
% 7.01/4.81  tff(379,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[378, 371])).
% 7.01/4.81  tff(380,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[379, 369])).
% 7.01/4.81  tff(381,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81))))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(382,plain,
% 7.01/4.81      (((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v181(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81))))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(383,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v181(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81)))))))),
% 7.01/4.81      inference(monotonicity,[status(thm)],[382])).
% 7.01/4.81  tff(384,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v181(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81))))))),
% 7.01/4.81      inference(transitivity,[status(thm)],[383, 381])).
% 7.01/4.81  tff(385,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v181(constB81)) | (~v1(constB81))))))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(386,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[385, 384])).
% 7.01/4.81  tff(387,plain,
% 7.01/4.81      (v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81))))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[386, 363, 380])).
% 7.01/4.81  tff(388,plain,
% 7.01/4.81      (((~v1(constB81)) | (~v181(constB81))) | v1(constB81)),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(389,plain,
% 7.01/4.81      ((~v1(constB81)) | (~v181(constB81))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[388, 316])).
% 7.01/4.81  tff(390,plain,
% 7.01/4.81      ((~(v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81)))))) | (~v180(constB81)) | (~((~v1(constB81)) | (~v181(constB81))))),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(391,plain,
% 7.01/4.81      ((~(v180(constB81) <=> (~((~v1(constB81)) | (~v181(constB81)))))) | (~v180(constB81))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[390, 389])).
% 7.01/4.81  tff(392,plain,
% 7.01/4.81      (~v180(constB81)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[391, 387])).
% 7.01/4.81  tff(393,plain,
% 7.01/4.81      ((~(v179(constB81) <=> v180(constB81))) | (~v179(constB81)) | v180(constB81)),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(394,plain,
% 7.01/4.81      (~v179(constB81)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[393, 392, 367])).
% 7.01/4.81  tff(395,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(396,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[395])).
% 7.01/4.81  tff(397,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(398,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))) <=> (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> (nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))))), rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(399,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[398])).
% 7.01/4.81  tff(400,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1')).
% 7.01/4.81  tff(401,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[400, 399])).
% 7.01/4.81  tff(402,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[401, 397])).
% 7.01/4.81  tff(403,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[402])).
% 7.01/4.81  tff(404,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[403, 396])).
% 7.01/4.81  tff(405,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(406,plain,
% 7.01/4.81      (((v159(constB81) <=> v159(constB80)) | v179(constB81) | (~nextState(constB80, constB81))) <=> ((~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(407,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB81) <=> v159(constB80)) | v179(constB81) | (~nextState(constB80, constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80))))),
% 7.01/4.81      inference(monotonicity,[status(thm)],[406])).
% 7.01/4.81  tff(408,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB81) <=> v159(constB80)) | v179(constB81) | (~nextState(constB80, constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80)))),
% 7.01/4.81      inference(transitivity,[status(thm)],[407, 405])).
% 7.01/4.81  tff(409,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB81) <=> v159(constB80)) | v179(constB81) | (~nextState(constB80, constB81)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(410,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB80, constB81)) | v179(constB81) | (v159(constB81) <=> v159(constB80))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[409, 408])).
% 7.01/4.81  tff(411,plain,
% 7.01/4.81      (v179(constB81) | (v159(constB81) <=> v159(constB80))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[410, 363, 404])).
% 7.01/4.81  tff(412,plain,
% 7.01/4.81      (v159(constB81) <=> v159(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[411, 394])).
% 7.01/4.81  tff(413,plain,
% 7.01/4.81      (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(414,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 7.01/4.81  tff(415,plain,
% 7.01/4.81      (nextState(constB79, constB80)),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[414, 413])).
% 7.01/4.81  tff(416,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB79, constB80)) | (v179(constB80) <=> v180(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB79, constB80)) | (v179(constB80) <=> v180(constB80)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(417,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB79, constB80)) | (v179(constB80) <=> v180(constB80)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(418,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB79, constB80)) | (v179(constB80) <=> v180(constB80))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[417, 416])).
% 7.01/4.81  tff(419,plain,
% 7.01/4.81      (v179(constB80) <=> v180(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[418, 415, 360])).
% 7.01/4.81  tff(420,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80))))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(421,plain,
% 7.01/4.81      (((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v181(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80))))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(422,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v181(constB80)) | (~v1(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80)))))))),
% 7.01/4.81      inference(monotonicity,[status(thm)],[421])).
% 7.01/4.81  tff(423,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v181(constB80)) | (~v1(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80))))))),
% 7.01/4.81      inference(transitivity,[status(thm)],[422, 420])).
% 7.01/4.81  tff(424,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v181(constB80)) | (~v1(constB80))))))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(425,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[424, 423])).
% 7.01/4.81  tff(426,plain,
% 7.01/4.81      (v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80))))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[425, 415, 380])).
% 7.01/4.81  tff(427,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(428,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[427])).
% 7.01/4.81  tff(429,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(430,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(431,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[430])).
% 7.01/4.81  tff(432,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 7.01/4.81  tff(433,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[432, 431])).
% 7.01/4.81  tff(434,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[433, 429])).
% 7.01/4.81  tff(435,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[434])).
% 7.01/4.81  tff(436,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[435, 428])).
% 7.01/4.81  tff(437,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v181(constB80)) <=> v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v181(constB80)) <=> v104(constB80)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(438,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v181(constB80)) <=> v104(constB80)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(439,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v181(constB80)) <=> v104(constB80))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[438, 437])).
% 7.01/4.81  tff(440,plain,
% 7.01/4.81      ((~v181(constB80)) <=> v104(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[439, 415, 436])).
% 7.01/4.81  tff(441,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(442,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[441])).
% 7.01/4.81  tff(443,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(444,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(445,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[444])).
% 7.01/4.81  tff(446,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 7.01/4.81  tff(447,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[446, 445])).
% 7.01/4.81  tff(448,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[447, 443])).
% 7.01/4.81  tff(449,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[448])).
% 7.01/4.81  tff(450,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[449, 442])).
% 7.01/4.81  tff(451,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(452,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(453,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[452, 451])).
% 7.01/4.81  tff(454,plain,
% 7.01/4.81      (v104(constB80) <=> v1(constB79)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[453, 415, 450])).
% 7.01/4.81  tff(455,plain,
% 7.01/4.81      ((~v1(constB79)) <=> (~v1(constB79))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(456,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 7.01/4.81  tff(457,plain,
% 7.01/4.81      (~v1(constB79)),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[456, 455])).
% 7.01/4.81  tff(458,plain,
% 7.01/4.81      ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(459,plain,
% 7.01/4.81      ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[458, 457])).
% 7.01/4.81  tff(460,plain,
% 7.01/4.81      (~v104(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[459, 454])).
% 7.01/4.81  tff(461,plain,
% 7.01/4.81      ((~((~v181(constB80)) <=> v104(constB80))) | v181(constB80) | v104(constB80)),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(462,plain,
% 7.01/4.81      (v181(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[461, 460, 440])).
% 7.01/4.81  tff(463,plain,
% 7.01/4.81      (v1(constB80) <=> v1(constB80)),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(464,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 7.01/4.81  tff(465,plain,
% 7.01/4.81      (v1(constB80)),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[464, 463])).
% 7.01/4.81  tff(466,plain,
% 7.01/4.81      ((~((~v1(constB80)) | (~v181(constB80)))) | (~v1(constB80)) | (~v181(constB80))),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(467,plain,
% 7.01/4.81      ((~((~v1(constB80)) | (~v181(constB80)))) | (~v181(constB80))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[466, 465])).
% 7.01/4.81  tff(468,plain,
% 7.01/4.81      (~((~v1(constB80)) | (~v181(constB80)))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[467, 462])).
% 7.01/4.81  tff(469,plain,
% 7.01/4.81      ((~(v180(constB80) <=> (~((~v1(constB80)) | (~v181(constB80)))))) | v180(constB80) | ((~v1(constB80)) | (~v181(constB80)))),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(470,plain,
% 7.01/4.81      (v180(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[469, 468, 426])).
% 7.01/4.81  tff(471,plain,
% 7.01/4.81      ((~(v179(constB80) <=> v180(constB80))) | v179(constB80) | (~v180(constB80))),
% 7.01/4.81      inference(tautology,[status(thm)],[])).
% 7.01/4.81  tff(472,plain,
% 7.01/4.81      (v179(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[471, 470, 419])).
% 7.01/4.81  tff(473,plain,
% 7.01/4.81      (^[VarNext: state_type] : refl(((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(474,plain,
% 7.01/4.81      (![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[473])).
% 7.01/4.81  tff(475,plain,
% 7.01/4.81      (![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(476,plain,
% 7.01/4.81      (^[VarNext: state_type] : rewrite((v179(VarNext) => (v159(VarNext) <=> v186(VarNext))) <=> ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(477,plain,
% 7.01/4.81      (![VarNext: state_type] : (v179(VarNext) => (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[476])).
% 7.01/4.81  tff(478,axiom,(![VarNext: state_type] : (v179(VarNext) => (v159(VarNext) <=> v186(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1')).
% 7.01/4.81  tff(479,plain,
% 7.01/4.81      (![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[478, 477])).
% 7.01/4.81  tff(480,plain,
% 7.01/4.81      (![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[479, 475])).
% 7.01/4.81  tff(481,plain,(
% 7.01/4.81      ![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[480])).
% 7.01/4.81  tff(482,plain,
% 7.01/4.81      (![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[481, 474])).
% 7.01/4.81  tff(483,plain,
% 7.01/4.81      (((~![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB80)) | (v159(constB80) <=> v186(constB80)))) <=> ((~![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB80)) | (v159(constB80) <=> v186(constB80)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(484,plain,
% 7.01/4.81      ((~![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB80)) | (v159(constB80) <=> v186(constB80)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(485,plain,
% 7.01/4.81      ((~![VarNext: state_type] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB80)) | (v159(constB80) <=> v186(constB80))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[484, 483])).
% 7.01/4.81  tff(486,plain,
% 7.01/4.81      (v159(constB80) <=> v186(constB80)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[485, 482, 472])).
% 7.01/4.81  tff(487,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(488,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[487])).
% 7.01/4.81  tff(489,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(490,plain,
% 7.01/4.81      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(491,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[490])).
% 7.01/4.81  tff(492,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11')).
% 7.01/4.81  tff(493,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[492, 491])).
% 7.01/4.81  tff(494,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[493, 489])).
% 7.01/4.81  tff(495,plain,(
% 7.01/4.81      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[494])).
% 7.01/4.81  tff(496,plain,
% 7.01/4.81      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[495, 488])).
% 7.01/4.81  tff(497,plain,
% 7.01/4.81      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB79, constB80)) | (v186(constB80) <=> v161(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB79, constB80)) | (v186(constB80) <=> v161(constB79)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(498,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB79, constB80)) | (v186(constB80) <=> v161(constB79)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(499,plain,
% 7.01/4.81      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB79, constB80)) | (v186(constB80) <=> v161(constB79))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[498, 497])).
% 7.01/4.81  tff(500,plain,
% 7.01/4.81      (v186(constB80) <=> v161(constB79)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[499, 415, 496])).
% 7.01/4.81  tff(501,plain,
% 7.01/4.81      (^[VarCurr: state_type] : refl((v161(VarCurr) <=> v163(VarCurr)) <=> (v161(VarCurr) <=> v163(VarCurr)))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(502,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[501])).
% 7.01/4.81  tff(503,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(504,axiom,(![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10')).
% 7.01/4.81  tff(505,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[504, 503])).
% 7.01/4.81  tff(506,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 7.01/4.81      inference(skolemize,[status(sab)],[505])).
% 7.01/4.81  tff(507,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[506, 502])).
% 7.01/4.81  tff(508,plain,
% 7.01/4.81      ((~![VarCurr: state_type] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB79) <=> v163(constB79))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(509,plain,
% 7.01/4.81      (v161(constB79) <=> v163(constB79)),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[508, 507])).
% 7.01/4.81  tff(510,plain,
% 7.01/4.81      (^[VarCurr: state_type] : refl((v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(511,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[510])).
% 7.01/4.81  tff(512,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(513,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(514,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[513])).
% 7.01/4.81  tff(515,axiom,(![VarCurr: state_type] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39')).
% 7.01/4.81  tff(516,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[515, 514])).
% 7.01/4.81  tff(517,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[516, 512])).
% 7.01/4.81  tff(518,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[517])).
% 7.01/4.81  tff(519,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[518, 511])).
% 7.01/4.81  tff(520,plain,
% 7.01/4.81      ((~![VarCurr: state_type] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB79) <=> (v145(constB79) | v167(constB79)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(521,plain,
% 7.01/4.81      (v166(constB79) <=> (v145(constB79) | v167(constB79))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[520, 519])).
% 7.01/4.81  tff(522,plain,
% 7.01/4.81      (^[VarCurr: state_type] : refl((v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(523,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[522])).
% 7.01/4.81  tff(524,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(525,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(526,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[525])).
% 7.01/4.81  tff(527,axiom,(![VarCurr: state_type] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38')).
% 7.01/4.81  tff(528,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[527, 526])).
% 7.01/4.81  tff(529,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[528, 524])).
% 7.01/4.81  tff(530,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[529])).
% 7.01/4.81  tff(531,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[530, 523])).
% 7.01/4.81  tff(532,plain,
% 7.01/4.81      ((~![VarCurr: state_type] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB79) <=> (v142(constB79) | v168(constB79)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(533,plain,
% 7.01/4.81      (v167(constB79) <=> (v142(constB79) | v168(constB79))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[532, 531])).
% 7.01/4.81  tff(534,plain,
% 7.01/4.81      (^[VarCurr: state_type] : refl((v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(535,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[534])).
% 7.01/4.81  tff(536,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(537,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(538,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[537])).
% 7.01/4.81  tff(539,axiom,(![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37')).
% 7.01/4.81  tff(540,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[539, 538])).
% 7.01/4.81  tff(541,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[540, 536])).
% 7.01/4.81  tff(542,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[541])).
% 7.01/4.81  tff(543,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[542, 535])).
% 7.01/4.81  tff(544,plain,
% 7.01/4.81      ((~![VarCurr: state_type] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB79) <=> (v141(constB79) | v169(constB79)))),
% 7.01/4.81      inference(quant_inst,[status(thm)],[])).
% 7.01/4.81  tff(545,plain,
% 7.01/4.81      (v168(constB79) <=> (v141(constB79) | v169(constB79))),
% 7.01/4.81      inference(unit_resolution,[status(thm)],[544, 543])).
% 7.01/4.81  tff(546,plain,
% 7.01/4.81      (^[VarCurr: state_type] : refl((v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(547,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[546])).
% 7.01/4.81  tff(548,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(549,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[548])).
% 7.01/4.81  tff(550,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(551,plain,
% 7.01/4.81      (^[VarCurr: state_type] : rewrite((v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true))) <=> (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0))))),
% 7.01/4.81      inference(bind,[status(th)],[])).
% 7.01/4.81  tff(552,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.01/4.81      inference(quant_intro,[status(thm)],[551])).
% 7.01/4.81  tff(553,axiom,(![VarCurr: state_type] : (v141(VarCurr) <=> (((v88(VarCurr, 2) <=> $false) & (v88(VarCurr, 1) <=> $true)) & (v88(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11')).
% 7.01/4.81  tff(554,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[553, 552])).
% 7.01/4.81  tff(555,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[554, 550])).
% 7.01/4.81  tff(556,plain,(
% 7.01/4.81      ![VarCurr: state_type] : (v141(VarCurr) <=> ((~v88(VarCurr, 2)) & v88(VarCurr, 1) & v88(VarCurr, 0)))),
% 7.01/4.81      inference(skolemize,[status(sab)],[555])).
% 7.01/4.81  tff(557,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[556, 549])).
% 7.01/4.81  tff(558,plain,
% 7.01/4.81      (![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))),
% 7.01/4.81      inference(modus_ponens,[status(thm)],[557, 547])).
% 7.01/4.81  tff(559,plain,
% 7.01/4.81      (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0))))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(560,plain,
% 7.01/4.81      ((v141(constB79) <=> (~(v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0))))) <=> (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0)))))),
% 7.01/4.81      inference(rewrite,[status(thm)],[])).
% 7.01/4.81  tff(561,plain,
% 7.01/4.81      (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~(v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0))))))),
% 7.01/4.81      inference(monotonicity,[status(thm)],[560])).
% 7.01/4.82  tff(562,plain,
% 7.01/4.82      (((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~(v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)))))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0))))))),
% 7.01/4.82      inference(transitivity,[status(thm)],[561, 559])).
% 7.01/4.82  tff(563,plain,
% 7.01/4.82      ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~(v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(564,plain,
% 7.01/4.82      ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~(v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))))) | (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[563, 562])).
% 7.01/4.82  tff(565,plain,
% 7.01/4.82      (v141(constB79) <=> (~((~v88(constB79, 1)) | v88(constB79, 2) | (~v88(constB79, 0))))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[564, 558])).
% 7.01/4.82  tff(566,plain,
% 7.01/4.82      (^[VarCurr: state_type] : refl((~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))) <=> (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(567,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[566])).
% 7.01/4.82  tff(568,plain,
% 7.01/4.82      (^[VarCurr: state_type] : rewrite(((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(569,plain,
% 7.01/4.82      (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[568])).
% 7.01/4.82  tff(570,plain,
% 7.01/4.82      (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(571,plain,
% 7.01/4.82      (^[VarCurr: state_type] : rewrite((((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(572,plain,
% 7.01/4.82      (![VarCurr: state_type] : (((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[571])).
% 7.01/4.82  tff(573,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1))) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8')).
% 7.01/4.82  tff(574,plain,
% 7.01/4.82      (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[573, 572])).
% 7.01/4.82  tff(575,plain,
% 7.01/4.82      (![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[574, 570])).
% 7.01/4.82  tff(576,plain,(
% 7.01/4.82      ![VarCurr: state_type] : ((v88(VarCurr, 2) <=> v90(VarCurr, 2)) & (v88(VarCurr, 1) <=> v90(VarCurr, 1)) & (v88(VarCurr, 0) <=> v90(VarCurr, 0)))),
% 7.01/4.82      inference(skolemize,[status(sab)],[575])).
% 7.01/4.82  tff(577,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[576, 569])).
% 7.01/4.82  tff(578,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[577, 567])).
% 7.01/4.82  tff(579,plain,
% 7.01/4.82      ((~![VarCurr: state_type] : (~(((~v88(VarCurr, 1)) <=> v90(VarCurr, 1)) | ((~v88(VarCurr, 2)) <=> v90(VarCurr, 2)) | ((~v88(VarCurr, 0)) <=> v90(VarCurr, 0))))) | (~(((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(580,plain,
% 7.01/4.82      (~(((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0)))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[579, 578])).
% 7.01/4.82  tff(581,plain,
% 7.01/4.82      ((((~v88(constB79, 1)) <=> v90(constB79, 1)) | ((~v88(constB79, 2)) <=> v90(constB79, 2)) | ((~v88(constB79, 0)) <=> v90(constB79, 0))) | (~((~v88(constB79, 2)) <=> v90(constB79, 2)))),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(582,plain,
% 7.01/4.82      (~((~v88(constB79, 2)) <=> v90(constB79, 2))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[581, 580])).
% 7.01/4.82  tff(583,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(584,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[583])).
% 7.01/4.82  tff(585,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(586,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[585])).
% 7.01/4.82  tff(587,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(588,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(589,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[588])).
% 7.01/4.82  tff(590,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27')).
% 7.01/4.82  tff(591,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[590, 589])).
% 7.01/4.82  tff(592,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[591, 587])).
% 7.01/4.82  tff(593,plain,(
% 7.01/4.82      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.01/4.82      inference(skolemize,[status(sab)],[592])).
% 7.01/4.82  tff(594,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[593, 586])).
% 7.01/4.82  tff(595,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[594, 584])).
% 7.01/4.82  tff(596,plain,
% 7.01/4.82      (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(597,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 7.01/4.82  tff(598,plain,
% 7.01/4.82      (nextState(constB78, constB79)),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[597, 596])).
% 7.01/4.82  tff(599,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(600,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(601,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[600, 599])).
% 7.01/4.82  tff(602,plain,
% 7.01/4.82      (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[601, 598, 595])).
% 7.01/4.82  tff(603,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(604,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[603])).
% 7.01/4.82  tff(605,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(606,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[605])).
% 7.01/4.82  tff(607,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(608,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(609,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[608])).
% 7.01/4.82  tff(610,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18')).
% 7.01/4.82  tff(611,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[610, 609])).
% 7.01/4.82  tff(612,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[611, 607])).
% 7.01/4.82  tff(613,plain,(
% 7.01/4.82      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.01/4.82      inference(skolemize,[status(sab)],[612])).
% 7.01/4.82  tff(614,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[613, 606])).
% 7.01/4.82  tff(615,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[614, 604])).
% 7.01/4.82  tff(616,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(617,plain,
% 7.01/4.82      (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(618,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))))),
% 7.01/4.82      inference(monotonicity,[status(thm)],[617])).
% 7.01/4.82  tff(619,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.01/4.82      inference(transitivity,[status(thm)],[618, 616])).
% 7.01/4.82  tff(620,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(621,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[620, 619])).
% 7.01/4.82  tff(622,plain,
% 7.01/4.82      (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[621, 598, 615])).
% 7.01/4.82  tff(623,plain,
% 7.01/4.82      (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(624,plain,
% 7.01/4.82      ((~v1(constB79)) | (~v102(constB79))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[623, 457])).
% 7.01/4.82  tff(625,plain,
% 7.01/4.82      ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(626,plain,
% 7.01/4.82      ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[625, 624])).
% 7.01/4.82  tff(627,plain,
% 7.01/4.82      (~v101(constB79)),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[626, 622])).
% 7.01/4.82  tff(628,plain,
% 7.01/4.82      (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(629,plain,
% 7.01/4.82      ((~v101(constB79)) | (~v110(constB79))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[628, 627])).
% 7.01/4.82  tff(630,plain,
% 7.01/4.82      ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(631,plain,
% 7.01/4.82      (~v100(constB79)),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[630, 629, 602])).
% 7.01/4.82  tff(632,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : refl((v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(633,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[632])).
% 7.01/4.82  tff(634,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(635,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[634])).
% 7.01/4.82  tff(636,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(637,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))) <=> ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))), (((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> ((~v100(VarNext)) => ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), rewrite(((~v100(VarNext)) => ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))), (((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))) <=> (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))))), rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(638,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[637])).
% 7.01/4.82  tff(639,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1))) & (v90(VarNext, 0) <=> v90(VarCurr, 0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 7.01/4.82  tff(640,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[639, 638])).
% 7.01/4.82  tff(641,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[640, 636])).
% 7.01/4.82  tff(642,plain,(
% 7.01/4.82      ![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, 2) <=> v90(VarCurr, 2)) & (v90(VarNext, 1) <=> v90(VarCurr, 1)) & (v90(VarNext, 0) <=> v90(VarCurr, 0))))),
% 7.01/4.82      inference(skolemize,[status(sab)],[641])).
% 7.01/4.82  tff(643,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[642, 635])).
% 7.01/4.82  tff(644,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[643, 633])).
% 7.01/4.82  tff(645,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(646,plain,
% 7.01/4.82      ((v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))) <=> (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(647,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))))),
% 7.01/4.82      inference(monotonicity,[status(thm)],[646])).
% 7.01/4.82  tff(648,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 7.01/4.82      inference(transitivity,[status(thm)],[647, 645])).
% 7.01/4.82  tff(649,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(650,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[649, 648])).
% 7.01/4.82  tff(651,plain,
% 7.01/4.82      (v100(constB79) | (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[650, 598, 644])).
% 7.01/4.82  tff(652,plain,
% 7.01/4.82      (~(((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0)))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[651, 631])).
% 7.01/4.82  tff(653,plain,
% 7.01/4.82      ((((~v90(constB79, 1)) <=> v90(constB78, 1)) | ((~v90(constB79, 2)) <=> v90(constB78, 2)) | ((~v90(constB79, 0)) <=> v90(constB78, 0))) | (~((~v90(constB79, 2)) <=> v90(constB78, 2)))),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(654,plain,
% 7.01/4.82      (~((~v90(constB79, 2)) <=> v90(constB78, 2))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[653, 652])).
% 7.01/4.82  tff(655,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(656,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[655])).
% 7.01/4.82  tff(657,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(658,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[657])).
% 7.01/4.82  tff(659,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(660,plain,
% 7.01/4.82      (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite((((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0))) <=> ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> (nextState(VarCurr, VarNext) => ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))))), rewrite((nextState(VarCurr, VarNext) => ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(661,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[660])).
% 7.01/4.82  tff(662,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1))) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7')).
% 7.01/4.82  tff(663,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[662, 661])).
% 7.01/4.82  tff(664,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[663, 659])).
% 7.01/4.82  tff(665,plain,(
% 7.01/4.82      ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, 2) <=> v127(VarCurr, 2)) & (v129(VarNext, 1) <=> v127(VarCurr, 1)) & (v129(VarNext, 0) <=> v127(VarCurr, 0))))),
% 7.01/4.82      inference(skolemize,[status(sab)],[664])).
% 7.01/4.82  tff(666,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[665, 658])).
% 7.01/4.82  tff(667,plain,
% 7.01/4.82      (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[666, 656])).
% 7.01/4.82  tff(668,plain,
% 7.01/4.82      (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(669,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 7.01/4.82  tff(670,plain,
% 7.01/4.82      (nextState(constB77, constB78)),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[669, 668])).
% 7.01/4.82  tff(671,plain,
% 7.01/4.82      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(672,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(673,plain,
% 7.01/4.82      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[672, 671])).
% 7.01/4.82  tff(674,plain,
% 7.01/4.82      (~(((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0)))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[673, 670, 667])).
% 7.01/4.82  tff(675,plain,
% 7.01/4.82      ((((~v129(constB78, 2)) <=> v127(constB77, 2)) | ((~v129(constB78, 1)) <=> v127(constB77, 1)) | ((~v129(constB78, 0)) <=> v127(constB77, 0))) | (~((~v129(constB78, 2)) <=> v127(constB77, 2)))),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(676,plain,
% 7.01/4.82      (~((~v129(constB78, 2)) <=> v127(constB77, 2))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[675, 674])).
% 7.01/4.82  tff(677,plain,
% 7.01/4.82      (^[VarCurr: state_type] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(678,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[677])).
% 7.01/4.82  tff(679,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(680,plain,
% 7.01/4.82      (^[VarCurr: state_type] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(681,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[680])).
% 7.01/4.82  tff(682,axiom,(![VarCurr: state_type] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 7.01/4.82  tff(683,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[682, 681])).
% 7.01/4.82  tff(684,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[683, 679])).
% 7.01/4.82  tff(685,plain,(
% 7.01/4.82      ![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(skolemize,[status(sab)],[684])).
% 7.01/4.82  tff(686,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[685, 678])).
% 7.01/4.82  tff(687,plain,
% 7.01/4.82      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(688,plain,
% 7.01/4.82      (v111(constB77) <=> v26(constB77)),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[687, 686])).
% 7.01/4.82  tff(689,plain,
% 7.01/4.82      (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(690,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[689])).
% 7.01/4.82  tff(691,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(rewrite,[status(thm)],[])).
% 7.01/4.82  tff(692,plain,
% 7.01/4.82      (^[VarCurr: state_type] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 7.01/4.82      inference(bind,[status(th)],[])).
% 7.01/4.82  tff(693,plain,
% 7.01/4.82      (![VarCurr: state_type] : (v26(VarCurr) <=> $false) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(quant_intro,[status(thm)],[692])).
% 7.01/4.82  tff(694,axiom,(![VarCurr: state_type] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 7.01/4.82  tff(695,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[694, 693])).
% 7.01/4.82  tff(696,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[695, 691])).
% 7.01/4.82  tff(697,plain,(
% 7.01/4.82      ![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(skolemize,[status(sab)],[696])).
% 7.01/4.82  tff(698,plain,
% 7.01/4.82      (![VarCurr: state_type] : (~v26(VarCurr))),
% 7.01/4.82      inference(modus_ponens,[status(thm)],[697, 690])).
% 7.01/4.82  tff(699,plain,
% 7.01/4.82      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 7.01/4.82      inference(quant_inst,[status(thm)],[])).
% 7.01/4.82  tff(700,plain,
% 7.01/4.82      (~v26(constB77)),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[699, 698])).
% 7.01/4.82  tff(701,plain,
% 7.01/4.82      ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 7.01/4.82      inference(tautology,[status(thm)],[])).
% 7.01/4.82  tff(702,plain,
% 7.01/4.82      ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[701, 700])).
% 7.01/4.82  tff(703,plain,
% 7.01/4.82      (~v111(constB77)),
% 7.01/4.82      inference(unit_resolution,[status(thm)],[702, 688])).
% 7.01/4.82  tff(704,plain,
% 7.01/4.82      (^[VarCurr: state_type] : refl((v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))))),
% 7.07/4.82      inference(bind,[status(th)],[])).
% 7.07/4.82  tff(705,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 7.07/4.82      inference(quant_intro,[status(thm)],[704])).
% 7.07/4.82  tff(706,plain,
% 7.07/4.82      (^[VarCurr: state_type] : rewrite((v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0))))))),
% 7.07/4.82      inference(bind,[status(th)],[])).
% 7.07/4.82  tff(707,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 7.07/4.82      inference(quant_intro,[status(thm)],[706])).
% 7.07/4.82  tff(708,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 7.07/4.82      inference(rewrite,[status(thm)],[])).
% 7.07/4.82  tff(709,plain,
% 7.07/4.82      (^[VarCurr: state_type] : trans(monotonicity(rewrite((((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))) <=> ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))), (((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ((~v111(VarCurr)) => ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))))), rewrite(((~v111(VarCurr)) => ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))), (((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))))),
% 7.07/4.82      inference(bind,[status(th)],[])).
% 7.07/4.82  tff(710,plain,
% 7.07/4.82      (![VarCurr: state_type] : ((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 7.07/4.82      inference(quant_intro,[status(thm)],[709])).
% 7.07/4.82  tff(711,axiom,(![VarCurr: state_type] : ((~v111(VarCurr)) => (((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1))) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 7.07/4.82  tff(712,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 7.07/4.82      inference(modus_ponens,[status(thm)],[711, 710])).
% 7.07/4.82  tff(713,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 7.07/4.82      inference(modus_ponens,[status(thm)],[712, 708])).
% 7.07/4.82  tff(714,plain,(
% 7.07/4.82      ![VarCurr: state_type] : (v111(VarCurr) | ((v127(VarCurr, 2) <=> v130(VarCurr, 2)) & (v127(VarCurr, 1) <=> v130(VarCurr, 1)) & (v127(VarCurr, 0) <=> v130(VarCurr, 0))))),
% 7.07/4.82      inference(skolemize,[status(sab)],[713])).
% 7.07/4.82  tff(715,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 7.07/4.82      inference(modus_ponens,[status(thm)],[714, 707])).
% 7.07/4.82  tff(716,plain,
% 7.07/4.82      (![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))),
% 7.07/4.82      inference(modus_ponens,[status(thm)],[715, 705])).
% 7.07/4.82  tff(717,plain,
% 7.07/4.82      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))),
% 7.07/4.82      inference(rewrite,[status(thm)],[])).
% 7.07/4.82  tff(718,plain,
% 7.07/4.82      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))))),
% 7.07/4.82      inference(quant_inst,[status(thm)],[])).
% 7.07/4.82  tff(719,plain,
% 7.07/4.82      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))))),
% 7.07/4.82      inference(modus_ponens,[status(thm)],[718, 717])).
% 7.07/4.82  tff(720,plain,
% 7.07/4.82      (v111(constB77) | (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))))),
% 7.07/4.82      inference(unit_resolution,[status(thm)],[719, 716])).
% 7.07/4.82  tff(721,plain,
% 7.07/4.82      (~(((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0)))),
% 7.07/4.82      inference(unit_resolution,[status(thm)],[720, 703])).
% 7.07/4.83  tff(722,plain,
% 7.07/4.83      ((((~v127(constB77, 2)) <=> v130(constB77, 2)) | ((~v127(constB77, 1)) <=> v130(constB77, 1)) | ((~v127(constB77, 0)) <=> v130(constB77, 0))) | (~((~v127(constB77, 2)) <=> v130(constB77, 2)))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(723,plain,
% 7.07/4.83      (~((~v127(constB77, 2)) <=> v130(constB77, 2))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[722, 721])).
% 7.07/4.83  tff(724,plain,
% 7.07/4.83      (^[VarCurr: state_type] : refl((v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(725,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[724])).
% 7.07/4.83  tff(726,plain,
% 7.07/4.83      (^[VarCurr: state_type] : rewrite((v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1))))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(727,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[726])).
% 7.07/4.83  tff(728,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(729,plain,
% 7.07/4.83      (^[VarCurr: state_type] : rewrite((v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0)))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(730,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[729])).
% 7.07/4.83  tff(731,axiom,(![VarCurr: state_type] : (v121(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 7.07/4.83  tff(732,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[731, 730])).
% 7.07/4.83  tff(733,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[732, 728])).
% 7.07/4.83  tff(734,plain,(
% 7.07/4.83      ![VarCurr: state_type] : (v121(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & (~v90(VarCurr, 0))))),
% 7.07/4.83      inference(skolemize,[status(sab)],[733])).
% 7.07/4.83  tff(735,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[734, 727])).
% 7.07/4.83  tff(736,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[735, 725])).
% 7.07/4.83  tff(737,plain,
% 7.07/4.83      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(738,plain,
% 7.07/4.83      ((v121(constB77) <=> (~(v90(constB77, 0) | v90(constB77, 2) | (~v90(constB77, 1))))) <=> (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(739,plain,
% 7.07/4.83      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 0) | v90(constB77, 2) | (~v90(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1))))))),
% 7.07/4.83      inference(monotonicity,[status(thm)],[738])).
% 7.07/4.83  tff(740,plain,
% 7.07/4.83      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 0) | v90(constB77, 2) | (~v90(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1))))))),
% 7.07/4.83      inference(transitivity,[status(thm)],[739, 737])).
% 7.07/4.83  tff(741,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 0) | v90(constB77, 2) | (~v90(constB77, 1)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(742,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[741, 740])).
% 7.07/4.83  tff(743,plain,
% 7.07/4.83      (v121(constB77) <=> (~(v90(constB77, 2) | v90(constB77, 0) | (~v90(constB77, 1))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[742, 736])).
% 7.07/4.83  tff(744,plain,
% 7.07/4.83      (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(745,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 7.07/4.83  tff(746,plain,
% 7.07/4.83      (nextState(constB76, constB77)),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[745, 744])).
% 7.07/4.83  tff(747,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(748,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(749,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[748, 747])).
% 7.07/4.83  tff(750,plain,
% 7.07/4.83      (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[749, 746, 595])).
% 7.07/4.83  tff(751,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(752,plain,
% 7.07/4.83      (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(753,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))))),
% 7.07/4.83      inference(monotonicity,[status(thm)],[752])).
% 7.07/4.83  tff(754,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.07/4.83      inference(transitivity,[status(thm)],[753, 751])).
% 7.07/4.83  tff(755,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(756,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[755, 754])).
% 7.07/4.83  tff(757,plain,
% 7.07/4.83      (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[756, 746, 615])).
% 7.07/4.83  tff(758,plain,
% 7.07/4.83      ((~v1(constB77)) <=> (~v1(constB77))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(759,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 7.07/4.83  tff(760,plain,
% 7.07/4.83      (~v1(constB77)),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[759, 758])).
% 7.07/4.83  tff(761,plain,
% 7.07/4.83      (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(762,plain,
% 7.07/4.83      ((~v1(constB77)) | (~v102(constB77))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[761, 760])).
% 7.07/4.83  tff(763,plain,
% 7.07/4.83      ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(764,plain,
% 7.07/4.83      ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[763, 762])).
% 7.07/4.83  tff(765,plain,
% 7.07/4.83      (~v101(constB77)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[764, 757])).
% 7.07/4.83  tff(766,plain,
% 7.07/4.83      (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(767,plain,
% 7.07/4.83      ((~v101(constB77)) | (~v110(constB77))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[766, 765])).
% 7.07/4.83  tff(768,plain,
% 7.07/4.83      ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(769,plain,
% 7.07/4.83      (~v100(constB77)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[768, 767, 750])).
% 7.07/4.83  tff(770,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(771,plain,
% 7.07/4.83      ((v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))) <=> (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(772,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))))),
% 7.07/4.83      inference(monotonicity,[status(thm)],[771])).
% 7.07/4.83  tff(773,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 7.07/4.83      inference(transitivity,[status(thm)],[772, 770])).
% 7.07/4.83  tff(774,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(775,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[774, 773])).
% 7.07/4.83  tff(776,plain,
% 7.07/4.83      (v100(constB77) | (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[775, 746, 644])).
% 7.07/4.83  tff(777,plain,
% 7.07/4.83      (~(((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0)))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[776, 769])).
% 7.07/4.83  tff(778,plain,
% 7.07/4.83      ((((~v90(constB77, 1)) <=> v90(constB76, 1)) | ((~v90(constB77, 2)) <=> v90(constB76, 2)) | ((~v90(constB77, 0)) <=> v90(constB76, 0))) | (~((~v90(constB77, 2)) <=> v90(constB76, 2)))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(779,plain,
% 7.07/4.83      (~((~v90(constB77, 2)) <=> v90(constB76, 2))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[778, 777])).
% 7.07/4.83  tff(780,plain,
% 7.07/4.83      (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(781,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 7.07/4.83  tff(782,plain,
% 7.07/4.83      (nextState(constB75, constB76)),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[781, 780])).
% 7.07/4.83  tff(783,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(784,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(785,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[784, 783])).
% 7.07/4.83  tff(786,plain,
% 7.07/4.83      (~(((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0)))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[785, 782, 667])).
% 7.07/4.83  tff(787,plain,
% 7.07/4.83      ((((~v129(constB76, 2)) <=> v127(constB75, 2)) | ((~v129(constB76, 1)) <=> v127(constB75, 1)) | ((~v129(constB76, 0)) <=> v127(constB75, 0))) | (~((~v129(constB76, 2)) <=> v127(constB75, 2)))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(788,plain,
% 7.07/4.83      (~((~v129(constB76, 2)) <=> v127(constB75, 2))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[787, 786])).
% 7.07/4.83  tff(789,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(790,plain,
% 7.07/4.83      (v111(constB75) <=> v26(constB75)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[789, 686])).
% 7.07/4.83  tff(791,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(792,plain,
% 7.07/4.83      (~v26(constB75)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[791, 698])).
% 7.07/4.83  tff(793,plain,
% 7.07/4.83      ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(794,plain,
% 7.07/4.83      ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[793, 792])).
% 7.07/4.83  tff(795,plain,
% 7.07/4.83      (~v111(constB75)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[794, 790])).
% 7.07/4.83  tff(796,plain,
% 7.07/4.83      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(797,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(798,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[797, 796])).
% 7.07/4.83  tff(799,plain,
% 7.07/4.83      (v111(constB75) | (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[798, 716])).
% 7.07/4.83  tff(800,plain,
% 7.07/4.83      (~(((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0)))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[799, 795])).
% 7.07/4.83  tff(801,plain,
% 7.07/4.83      ((((~v127(constB75, 2)) <=> v130(constB75, 2)) | ((~v127(constB75, 1)) <=> v130(constB75, 1)) | ((~v127(constB75, 0)) <=> v130(constB75, 0))) | (~((~v127(constB75, 2)) <=> v130(constB75, 2)))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(802,plain,
% 7.07/4.83      (~((~v127(constB75, 2)) <=> v130(constB75, 2))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[801, 800])).
% 7.07/4.83  tff(803,plain,
% 7.07/4.83      (^[VarCurr: state_type] : refl((v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(804,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[803])).
% 7.07/4.83  tff(805,plain,
% 7.07/4.83      (^[VarCurr: state_type] : rewrite((v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0))))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(806,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[805])).
% 7.07/4.83  tff(807,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(808,plain,
% 7.07/4.83      (^[VarCurr: state_type] : rewrite((v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))))),
% 7.07/4.83      inference(bind,[status(th)],[])).
% 7.07/4.83  tff(809,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.83      inference(quant_intro,[status(thm)],[808])).
% 7.07/4.83  tff(810,axiom,(![VarCurr: state_type] : (v120(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 7.07/4.83  tff(811,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[810, 809])).
% 7.07/4.83  tff(812,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[811, 807])).
% 7.07/4.83  tff(813,plain,(
% 7.07/4.83      ![VarCurr: state_type] : (v120(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.83      inference(skolemize,[status(sab)],[812])).
% 7.07/4.83  tff(814,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[813, 806])).
% 7.07/4.83  tff(815,plain,
% 7.07/4.83      (![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[814, 804])).
% 7.07/4.83  tff(816,plain,
% 7.07/4.83      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(817,plain,
% 7.07/4.83      (v120(constB75) <=> (~(v90(constB75, 1) | v90(constB75, 2) | (~v90(constB75, 0))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[816, 815])).
% 7.07/4.83  tff(818,plain,
% 7.07/4.83      (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(819,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 7.07/4.83  tff(820,plain,
% 7.07/4.83      (nextState(constB74, constB75)),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[819, 818])).
% 7.07/4.83  tff(821,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(822,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(823,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[822, 821])).
% 7.07/4.83  tff(824,plain,
% 7.07/4.83      (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[823, 820, 595])).
% 7.07/4.83  tff(825,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(826,plain,
% 7.07/4.83      (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(827,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))))),
% 7.07/4.83      inference(monotonicity,[status(thm)],[826])).
% 7.07/4.83  tff(828,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.07/4.83      inference(transitivity,[status(thm)],[827, 825])).
% 7.07/4.83  tff(829,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(830,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[829, 828])).
% 7.07/4.83  tff(831,plain,
% 7.07/4.83      (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[830, 820, 615])).
% 7.07/4.83  tff(832,plain,
% 7.07/4.83      ((~v1(constB75)) <=> (~v1(constB75))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(833,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 7.07/4.83  tff(834,plain,
% 7.07/4.83      (~v1(constB75)),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[833, 832])).
% 7.07/4.83  tff(835,plain,
% 7.07/4.83      (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(836,plain,
% 7.07/4.83      ((~v1(constB75)) | (~v102(constB75))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[835, 834])).
% 7.07/4.83  tff(837,plain,
% 7.07/4.83      ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(838,plain,
% 7.07/4.83      ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[837, 836])).
% 7.07/4.83  tff(839,plain,
% 7.07/4.83      (~v101(constB75)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[838, 831])).
% 7.07/4.83  tff(840,plain,
% 7.07/4.83      (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(841,plain,
% 7.07/4.83      ((~v101(constB75)) | (~v110(constB75))),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[840, 839])).
% 7.07/4.83  tff(842,plain,
% 7.07/4.83      ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 7.07/4.83      inference(tautology,[status(thm)],[])).
% 7.07/4.83  tff(843,plain,
% 7.07/4.83      (~v100(constB75)),
% 7.07/4.83      inference(unit_resolution,[status(thm)],[842, 841, 824])).
% 7.07/4.83  tff(844,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(845,plain,
% 7.07/4.83      ((v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))) <=> (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 7.07/4.83      inference(rewrite,[status(thm)],[])).
% 7.07/4.83  tff(846,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))))),
% 7.07/4.83      inference(monotonicity,[status(thm)],[845])).
% 7.07/4.83  tff(847,plain,
% 7.07/4.83      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 7.07/4.83      inference(transitivity,[status(thm)],[846, 844])).
% 7.07/4.83  tff(848,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))))),
% 7.07/4.83      inference(quant_inst,[status(thm)],[])).
% 7.07/4.83  tff(849,plain,
% 7.07/4.83      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))),
% 7.07/4.83      inference(modus_ponens,[status(thm)],[848, 847])).
% 7.07/4.83  tff(850,plain,
% 7.07/4.83      (v100(constB75) | (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[849, 820, 644])).
% 7.07/4.84  tff(851,plain,
% 7.07/4.84      (~(((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[850, 843])).
% 7.07/4.84  tff(852,plain,
% 7.07/4.84      ((((~v90(constB75, 1)) <=> v90(constB74, 1)) | ((~v90(constB75, 2)) <=> v90(constB74, 2)) | ((~v90(constB75, 0)) <=> v90(constB74, 0))) | (~((~v90(constB75, 2)) <=> v90(constB74, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(853,plain,
% 7.07/4.84      (~((~v90(constB75, 2)) <=> v90(constB74, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[852, 851])).
% 7.07/4.84  tff(854,plain,
% 7.07/4.84      (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(855,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 7.07/4.84  tff(856,plain,
% 7.07/4.84      (nextState(constB73, constB74)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[855, 854])).
% 7.07/4.84  tff(857,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(858,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(859,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[858, 857])).
% 7.07/4.84  tff(860,plain,
% 7.07/4.84      (~(((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[859, 856, 667])).
% 7.07/4.84  tff(861,plain,
% 7.07/4.84      ((((~v129(constB74, 2)) <=> v127(constB73, 2)) | ((~v129(constB74, 1)) <=> v127(constB73, 1)) | ((~v129(constB74, 0)) <=> v127(constB73, 0))) | (~((~v129(constB74, 2)) <=> v127(constB73, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(862,plain,
% 7.07/4.84      (~((~v129(constB74, 2)) <=> v127(constB73, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[861, 860])).
% 7.07/4.84  tff(863,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(864,plain,
% 7.07/4.84      (v111(constB73) <=> v26(constB73)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[863, 686])).
% 7.07/4.84  tff(865,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(866,plain,
% 7.07/4.84      (~v26(constB73)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[865, 698])).
% 7.07/4.84  tff(867,plain,
% 7.07/4.84      ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(868,plain,
% 7.07/4.84      ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[867, 866])).
% 7.07/4.84  tff(869,plain,
% 7.07/4.84      (~v111(constB73)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[868, 864])).
% 7.07/4.84  tff(870,plain,
% 7.07/4.84      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(871,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(872,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[871, 870])).
% 7.07/4.84  tff(873,plain,
% 7.07/4.84      (v111(constB73) | (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[872, 716])).
% 7.07/4.84  tff(874,plain,
% 7.07/4.84      (~(((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[873, 869])).
% 7.07/4.84  tff(875,plain,
% 7.07/4.84      ((((~v127(constB73, 2)) <=> v130(constB73, 2)) | ((~v127(constB73, 1)) <=> v130(constB73, 1)) | ((~v127(constB73, 0)) <=> v130(constB73, 0))) | (~((~v127(constB73, 2)) <=> v130(constB73, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(876,plain,
% 7.07/4.84      (~((~v127(constB73, 2)) <=> v130(constB73, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[875, 874])).
% 7.07/4.84  tff(877,plain,
% 7.07/4.84      (^[VarCurr: state_type] : refl((v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(878,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[877])).
% 7.07/4.84  tff(879,plain,
% 7.07/4.84      (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(880,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[879])).
% 7.07/4.84  tff(881,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(882,plain,
% 7.07/4.84      (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(883,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[882])).
% 7.07/4.84  tff(884,axiom,(![VarCurr: state_type] : (v119(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 7.07/4.84  tff(885,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[884, 883])).
% 7.07/4.84  tff(886,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[885, 881])).
% 7.07/4.84  tff(887,plain,(
% 7.07/4.84      ![VarCurr: state_type] : (v119(VarCurr) <=> ((~v90(VarCurr, 2)) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.84      inference(skolemize,[status(sab)],[886])).
% 7.07/4.84  tff(888,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[887, 880])).
% 7.07/4.84  tff(889,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[888, 878])).
% 7.07/4.84  tff(890,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | v90(constB73, 2))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(891,plain,
% 7.07/4.84      (v119(constB73) <=> (~(v90(constB73, 0) | v90(constB73, 1) | v90(constB73, 2)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[890, 889])).
% 7.07/4.84  tff(892,plain,
% 7.07/4.84      (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(893,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 7.07/4.84  tff(894,plain,
% 7.07/4.84      (nextState(constB72, constB73)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[893, 892])).
% 7.07/4.84  tff(895,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(896,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(897,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[896, 895])).
% 7.07/4.84  tff(898,plain,
% 7.07/4.84      (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[897, 894, 595])).
% 7.07/4.84  tff(899,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(900,plain,
% 7.07/4.84      (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(901,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))))),
% 7.07/4.84      inference(monotonicity,[status(thm)],[900])).
% 7.07/4.84  tff(902,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.07/4.84      inference(transitivity,[status(thm)],[901, 899])).
% 7.07/4.84  tff(903,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(904,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[903, 902])).
% 7.07/4.84  tff(905,plain,
% 7.07/4.84      (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[904, 894, 615])).
% 7.07/4.84  tff(906,plain,
% 7.07/4.84      ((~v1(constB73)) <=> (~v1(constB73))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(907,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 7.07/4.84  tff(908,plain,
% 7.07/4.84      (~v1(constB73)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[907, 906])).
% 7.07/4.84  tff(909,plain,
% 7.07/4.84      (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(910,plain,
% 7.07/4.84      ((~v1(constB73)) | (~v102(constB73))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[909, 908])).
% 7.07/4.84  tff(911,plain,
% 7.07/4.84      ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(912,plain,
% 7.07/4.84      ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[911, 910])).
% 7.07/4.84  tff(913,plain,
% 7.07/4.84      (~v101(constB73)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[912, 905])).
% 7.07/4.84  tff(914,plain,
% 7.07/4.84      (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(915,plain,
% 7.07/4.84      ((~v101(constB73)) | (~v110(constB73))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[914, 913])).
% 7.07/4.84  tff(916,plain,
% 7.07/4.84      ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(917,plain,
% 7.07/4.84      (~v100(constB73)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[916, 915, 898])).
% 7.07/4.84  tff(918,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(919,plain,
% 7.07/4.84      ((v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))) <=> (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(920,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))))),
% 7.07/4.84      inference(monotonicity,[status(thm)],[919])).
% 7.07/4.84  tff(921,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 7.07/4.84      inference(transitivity,[status(thm)],[920, 918])).
% 7.07/4.84  tff(922,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(923,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[922, 921])).
% 7.07/4.84  tff(924,plain,
% 7.07/4.84      (v100(constB73) | (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[923, 894, 644])).
% 7.07/4.84  tff(925,plain,
% 7.07/4.84      (~(((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[924, 917])).
% 7.07/4.84  tff(926,plain,
% 7.07/4.84      ((((~v90(constB73, 1)) <=> v90(constB72, 1)) | ((~v90(constB73, 2)) <=> v90(constB72, 2)) | ((~v90(constB73, 0)) <=> v90(constB72, 0))) | (~((~v90(constB73, 2)) <=> v90(constB72, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(927,plain,
% 7.07/4.84      (~((~v90(constB73, 2)) <=> v90(constB72, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[926, 925])).
% 7.07/4.84  tff(928,plain,
% 7.07/4.84      (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(929,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 7.07/4.84  tff(930,plain,
% 7.07/4.84      (nextState(constB71, constB72)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[929, 928])).
% 7.07/4.84  tff(931,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(932,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(933,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[932, 931])).
% 7.07/4.84  tff(934,plain,
% 7.07/4.84      (~(((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[933, 930, 667])).
% 7.07/4.84  tff(935,plain,
% 7.07/4.84      ((((~v129(constB72, 2)) <=> v127(constB71, 2)) | ((~v129(constB72, 1)) <=> v127(constB71, 1)) | ((~v129(constB72, 0)) <=> v127(constB71, 0))) | (~((~v129(constB72, 2)) <=> v127(constB71, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(936,plain,
% 7.07/4.84      (~((~v129(constB72, 2)) <=> v127(constB71, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[935, 934])).
% 7.07/4.84  tff(937,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(938,plain,
% 7.07/4.84      (v111(constB71) <=> v26(constB71)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[937, 686])).
% 7.07/4.84  tff(939,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(940,plain,
% 7.07/4.84      (~v26(constB71)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[939, 698])).
% 7.07/4.84  tff(941,plain,
% 7.07/4.84      ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(942,plain,
% 7.07/4.84      ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[941, 940])).
% 7.07/4.84  tff(943,plain,
% 7.07/4.84      (~v111(constB71)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[942, 938])).
% 7.07/4.84  tff(944,plain,
% 7.07/4.84      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(945,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(946,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[945, 944])).
% 7.07/4.84  tff(947,plain,
% 7.07/4.84      (v111(constB71) | (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[946, 716])).
% 7.07/4.84  tff(948,plain,
% 7.07/4.84      (~(((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0)))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[947, 943])).
% 7.07/4.84  tff(949,plain,
% 7.07/4.84      ((((~v127(constB71, 2)) <=> v130(constB71, 2)) | ((~v127(constB71, 1)) <=> v130(constB71, 1)) | ((~v127(constB71, 0)) <=> v130(constB71, 0))) | (~((~v127(constB71, 2)) <=> v130(constB71, 2)))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(950,plain,
% 7.07/4.84      (~((~v127(constB71, 2)) <=> v130(constB71, 2))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[949, 948])).
% 7.07/4.84  tff(951,plain,
% 7.07/4.84      (^[VarCurr: state_type] : refl((v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(952,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[951])).
% 7.07/4.84  tff(953,plain,
% 7.07/4.84      (^[VarCurr: state_type] : rewrite((v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2))))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(954,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[953])).
% 7.07/4.84  tff(955,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(956,plain,
% 7.07/4.84      (^[VarCurr: state_type] : rewrite((v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0))))),
% 7.07/4.84      inference(bind,[status(th)],[])).
% 7.07/4.84  tff(957,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.84      inference(quant_intro,[status(thm)],[956])).
% 7.07/4.84  tff(958,axiom,(![VarCurr: state_type] : (v124(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 7.07/4.84  tff(959,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[958, 957])).
% 7.07/4.84  tff(960,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[959, 955])).
% 7.07/4.84  tff(961,plain,(
% 7.07/4.84      ![VarCurr: state_type] : (v124(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & v90(VarCurr, 0)))),
% 7.07/4.84      inference(skolemize,[status(sab)],[960])).
% 7.07/4.84  tff(962,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[961, 954])).
% 7.07/4.84  tff(963,plain,
% 7.07/4.84      (![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[962, 952])).
% 7.07/4.84  tff(964,plain,
% 7.07/4.84      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(965,plain,
% 7.07/4.84      ((v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 0)) | (~v90(constB71, 2))))) <=> (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0)))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(966,plain,
% 7.07/4.84      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 0)) | (~v90(constB71, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0))))))),
% 7.07/4.84      inference(monotonicity,[status(thm)],[965])).
% 7.07/4.84  tff(967,plain,
% 7.07/4.84      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 0)) | (~v90(constB71, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0))))))),
% 7.07/4.84      inference(transitivity,[status(thm)],[966, 964])).
% 7.07/4.84  tff(968,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 0)) | (~v90(constB71, 2)))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(969,plain,
% 7.07/4.84      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[968, 967])).
% 7.07/4.84  tff(970,plain,
% 7.07/4.84      (v124(constB71) <=> (~(v90(constB71, 1) | (~v90(constB71, 2)) | (~v90(constB71, 0))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[969, 963])).
% 7.07/4.84  tff(971,plain,
% 7.07/4.84      (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(972,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 7.07/4.84  tff(973,plain,
% 7.07/4.84      (nextState(constB70, constB71)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[972, 971])).
% 7.07/4.84  tff(974,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(975,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(976,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[975, 974])).
% 7.07/4.84  tff(977,plain,
% 7.07/4.84      (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[976, 973, 595])).
% 7.07/4.84  tff(978,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(979,plain,
% 7.07/4.84      (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(980,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))))),
% 7.07/4.84      inference(monotonicity,[status(thm)],[979])).
% 7.07/4.84  tff(981,plain,
% 7.07/4.84      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.07/4.84      inference(transitivity,[status(thm)],[980, 978])).
% 7.07/4.84  tff(982,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 7.07/4.84      inference(quant_inst,[status(thm)],[])).
% 7.07/4.84  tff(983,plain,
% 7.07/4.84      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[982, 981])).
% 7.07/4.84  tff(984,plain,
% 7.07/4.84      (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[983, 973, 615])).
% 7.07/4.84  tff(985,plain,
% 7.07/4.84      ((~v1(constB71)) <=> (~v1(constB71))),
% 7.07/4.84      inference(rewrite,[status(thm)],[])).
% 7.07/4.84  tff(986,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 7.07/4.84  tff(987,plain,
% 7.07/4.84      (~v1(constB71)),
% 7.07/4.84      inference(modus_ponens,[status(thm)],[986, 985])).
% 7.07/4.84  tff(988,plain,
% 7.07/4.84      (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(989,plain,
% 7.07/4.84      ((~v1(constB71)) | (~v102(constB71))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[988, 987])).
% 7.07/4.84  tff(990,plain,
% 7.07/4.84      ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(991,plain,
% 7.07/4.84      ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[990, 989])).
% 7.07/4.84  tff(992,plain,
% 7.07/4.84      (~v101(constB71)),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[991, 984])).
% 7.07/4.84  tff(993,plain,
% 7.07/4.84      (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 7.07/4.84      inference(tautology,[status(thm)],[])).
% 7.07/4.84  tff(994,plain,
% 7.07/4.84      ((~v101(constB71)) | (~v110(constB71))),
% 7.07/4.84      inference(unit_resolution,[status(thm)],[993, 992])).
% 7.07/4.84  tff(995,plain,
% 7.07/4.84      ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(996,plain,
% 7.07/4.85      (~v100(constB71)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[995, 994, 977])).
% 7.07/4.85  tff(997,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(998,plain,
% 7.07/4.85      ((v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))) <=> (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(999,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))))),
% 7.07/4.85      inference(monotonicity,[status(thm)],[998])).
% 7.07/4.85  tff(1000,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 7.07/4.85      inference(transitivity,[status(thm)],[999, 997])).
% 7.07/4.85  tff(1001,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1002,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1001, 1000])).
% 7.07/4.85  tff(1003,plain,
% 7.07/4.85      (v100(constB71) | (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1002, 973, 644])).
% 7.07/4.85  tff(1004,plain,
% 7.07/4.85      (~(((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1003, 996])).
% 7.07/4.85  tff(1005,plain,
% 7.07/4.85      ((((~v90(constB71, 1)) <=> v90(constB70, 1)) | ((~v90(constB71, 2)) <=> v90(constB70, 2)) | ((~v90(constB71, 0)) <=> v90(constB70, 0))) | (~((~v90(constB71, 2)) <=> v90(constB70, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1006,plain,
% 7.07/4.85      (~((~v90(constB71, 2)) <=> v90(constB70, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1005, 1004])).
% 7.07/4.85  tff(1007,plain,
% 7.07/4.85      (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1008,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 7.07/4.85  tff(1009,plain,
% 7.07/4.85      (nextState(constB69, constB70)),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1008, 1007])).
% 7.07/4.85  tff(1010,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1011,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1012,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1011, 1010])).
% 7.07/4.85  tff(1013,plain,
% 7.07/4.85      (~(((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1012, 1009, 667])).
% 7.07/4.85  tff(1014,plain,
% 7.07/4.85      ((((~v129(constB70, 2)) <=> v127(constB69, 2)) | ((~v129(constB70, 1)) <=> v127(constB69, 1)) | ((~v129(constB70, 0)) <=> v127(constB69, 0))) | (~((~v129(constB70, 2)) <=> v127(constB69, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1015,plain,
% 7.07/4.85      (~((~v129(constB70, 2)) <=> v127(constB69, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1014, 1013])).
% 7.07/4.85  tff(1016,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1017,plain,
% 7.07/4.85      (v111(constB69) <=> v26(constB69)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1016, 686])).
% 7.07/4.85  tff(1018,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1019,plain,
% 7.07/4.85      (~v26(constB69)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1018, 698])).
% 7.07/4.85  tff(1020,plain,
% 7.07/4.85      ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1021,plain,
% 7.07/4.85      ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1020, 1019])).
% 7.07/4.85  tff(1022,plain,
% 7.07/4.85      (~v111(constB69)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1021, 1017])).
% 7.07/4.85  tff(1023,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1024,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1025,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1024, 1023])).
% 7.07/4.85  tff(1026,plain,
% 7.07/4.85      (v111(constB69) | (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1025, 716])).
% 7.07/4.85  tff(1027,plain,
% 7.07/4.85      (~(((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1026, 1022])).
% 7.07/4.85  tff(1028,plain,
% 7.07/4.85      ((((~v127(constB69, 2)) <=> v130(constB69, 2)) | ((~v127(constB69, 1)) <=> v130(constB69, 1)) | ((~v127(constB69, 0)) <=> v130(constB69, 0))) | (~((~v127(constB69, 2)) <=> v130(constB69, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1029,plain,
% 7.07/4.85      (~((~v127(constB69, 2)) <=> v130(constB69, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1028, 1027])).
% 7.07/4.85  tff(1030,plain,
% 7.07/4.85      (^[VarCurr: state_type] : refl((v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1031,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1030])).
% 7.07/4.85  tff(1032,plain,
% 7.07/4.85      (^[VarCurr: state_type] : rewrite((v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1033,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1032])).
% 7.07/4.85  tff(1034,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1035,plain,
% 7.07/4.85      (^[VarCurr: state_type] : rewrite((v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0)))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1036,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1035])).
% 7.07/4.85  tff(1037,axiom,(![VarCurr: state_type] : (v123(VarCurr) <=> (((v90(VarCurr, 2) <=> $true) & (v90(VarCurr, 1) <=> $false)) & (v90(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 7.07/4.85  tff(1038,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1037, 1036])).
% 7.07/4.85  tff(1039,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1038, 1034])).
% 7.07/4.85  tff(1040,plain,(
% 7.07/4.85      ![VarCurr: state_type] : (v123(VarCurr) <=> (v90(VarCurr, 2) & (~v90(VarCurr, 1)) & (~v90(VarCurr, 0))))),
% 7.07/4.85      inference(skolemize,[status(sab)],[1039])).
% 7.07/4.85  tff(1041,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1040, 1033])).
% 7.07/4.85  tff(1042,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1041, 1031])).
% 7.07/4.85  tff(1043,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2))))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1044,plain,
% 7.07/4.85      ((v123(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2))))) <=> (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1045,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2))))))),
% 7.07/4.85      inference(monotonicity,[status(thm)],[1044])).
% 7.07/4.85  tff(1046,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2))))))),
% 7.07/4.85      inference(transitivity,[status(thm)],[1045, 1043])).
% 7.07/4.85  tff(1047,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1048,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1047, 1046])).
% 7.07/4.85  tff(1049,plain,
% 7.07/4.85      (v123(constB69) <=> (~(v90(constB69, 1) | v90(constB69, 0) | (~v90(constB69, 2))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1048, 1042])).
% 7.07/4.85  tff(1050,plain,
% 7.07/4.85      (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1051,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 7.07/4.85  tff(1052,plain,
% 7.07/4.85      (nextState(constB68, constB69)),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1051, 1050])).
% 7.07/4.85  tff(1053,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1054,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1055,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1054, 1053])).
% 7.07/4.85  tff(1056,plain,
% 7.07/4.85      (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1055, 1052, 595])).
% 7.07/4.85  tff(1057,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1058,plain,
% 7.07/4.85      (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1059,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))))),
% 7.07/4.85      inference(monotonicity,[status(thm)],[1058])).
% 7.07/4.85  tff(1060,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.07/4.85      inference(transitivity,[status(thm)],[1059, 1057])).
% 7.07/4.85  tff(1061,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1062,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1061, 1060])).
% 7.07/4.85  tff(1063,plain,
% 7.07/4.85      (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1062, 1052, 615])).
% 7.07/4.85  tff(1064,plain,
% 7.07/4.85      ((~v1(constB69)) <=> (~v1(constB69))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1065,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 7.07/4.85  tff(1066,plain,
% 7.07/4.85      (~v1(constB69)),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1065, 1064])).
% 7.07/4.85  tff(1067,plain,
% 7.07/4.85      (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1068,plain,
% 7.07/4.85      ((~v1(constB69)) | (~v102(constB69))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1067, 1066])).
% 7.07/4.85  tff(1069,plain,
% 7.07/4.85      ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1070,plain,
% 7.07/4.85      ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1069, 1068])).
% 7.07/4.85  tff(1071,plain,
% 7.07/4.85      (~v101(constB69)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1070, 1063])).
% 7.07/4.85  tff(1072,plain,
% 7.07/4.85      (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1073,plain,
% 7.07/4.85      ((~v101(constB69)) | (~v110(constB69))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1072, 1071])).
% 7.07/4.85  tff(1074,plain,
% 7.07/4.85      ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1075,plain,
% 7.07/4.85      (~v100(constB69)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1074, 1073, 1056])).
% 7.07/4.85  tff(1076,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1077,plain,
% 7.07/4.85      ((v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))) <=> (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1078,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))))),
% 7.07/4.85      inference(monotonicity,[status(thm)],[1077])).
% 7.07/4.85  tff(1079,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 7.07/4.85      inference(transitivity,[status(thm)],[1078, 1076])).
% 7.07/4.85  tff(1080,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1081,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1080, 1079])).
% 7.07/4.85  tff(1082,plain,
% 7.07/4.85      (v100(constB69) | (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1081, 1052, 644])).
% 7.07/4.85  tff(1083,plain,
% 7.07/4.85      (~(((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1082, 1075])).
% 7.07/4.85  tff(1084,plain,
% 7.07/4.85      ((((~v90(constB69, 1)) <=> v90(constB68, 1)) | ((~v90(constB69, 2)) <=> v90(constB68, 2)) | ((~v90(constB69, 0)) <=> v90(constB68, 0))) | (~((~v90(constB69, 2)) <=> v90(constB68, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1085,plain,
% 7.07/4.85      (~((~v90(constB69, 2)) <=> v90(constB68, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1084, 1083])).
% 7.07/4.85  tff(1086,plain,
% 7.07/4.85      (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1087,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 7.07/4.85  tff(1088,plain,
% 7.07/4.85      (nextState(constB67, constB68)),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1087, 1086])).
% 7.07/4.85  tff(1089,plain,
% 7.07/4.85      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1090,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1091,plain,
% 7.07/4.85      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1090, 1089])).
% 7.07/4.85  tff(1092,plain,
% 7.07/4.85      (~(((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1091, 1088, 667])).
% 7.07/4.85  tff(1093,plain,
% 7.07/4.85      ((((~v129(constB68, 2)) <=> v127(constB67, 2)) | ((~v129(constB68, 1)) <=> v127(constB67, 1)) | ((~v129(constB68, 0)) <=> v127(constB67, 0))) | (~((~v129(constB68, 2)) <=> v127(constB67, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1094,plain,
% 7.07/4.85      (~((~v129(constB68, 2)) <=> v127(constB67, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1093, 1092])).
% 7.07/4.85  tff(1095,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1096,plain,
% 7.07/4.85      (v111(constB67) <=> v26(constB67)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1095, 686])).
% 7.07/4.85  tff(1097,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1098,plain,
% 7.07/4.85      (~v26(constB67)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1097, 698])).
% 7.07/4.85  tff(1099,plain,
% 7.07/4.85      ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1100,plain,
% 7.07/4.85      ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1099, 1098])).
% 7.07/4.85  tff(1101,plain,
% 7.07/4.85      (~v111(constB67)),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1100, 1096])).
% 7.07/4.85  tff(1102,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1103,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))))),
% 7.07/4.85      inference(quant_inst,[status(thm)],[])).
% 7.07/4.85  tff(1104,plain,
% 7.07/4.85      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1103, 1102])).
% 7.07/4.85  tff(1105,plain,
% 7.07/4.85      (v111(constB67) | (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1104, 716])).
% 7.07/4.85  tff(1106,plain,
% 7.07/4.85      (~(((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0)))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1105, 1101])).
% 7.07/4.85  tff(1107,plain,
% 7.07/4.85      ((((~v127(constB67, 2)) <=> v130(constB67, 2)) | ((~v127(constB67, 1)) <=> v130(constB67, 1)) | ((~v127(constB67, 0)) <=> v130(constB67, 0))) | (~((~v127(constB67, 2)) <=> v130(constB67, 2)))),
% 7.07/4.85      inference(tautology,[status(thm)],[])).
% 7.07/4.85  tff(1108,plain,
% 7.07/4.85      (~((~v127(constB67, 2)) <=> v130(constB67, 2))),
% 7.07/4.85      inference(unit_resolution,[status(thm)],[1107, 1106])).
% 7.07/4.85  tff(1109,plain,
% 7.07/4.85      (^[VarCurr: state_type] : refl((v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1110,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1109])).
% 7.07/4.85  tff(1111,plain,
% 7.07/4.85      (^[VarCurr: state_type] : rewrite((v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1))))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1112,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1111])).
% 7.07/4.85  tff(1113,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1114,plain,
% 7.07/4.85      (^[VarCurr: state_type] : rewrite((v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true))) <=> (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0))))),
% 7.07/4.85      inference(bind,[status(th)],[])).
% 7.07/4.85  tff(1115,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 7.07/4.85      inference(quant_intro,[status(thm)],[1114])).
% 7.07/4.85  tff(1116,axiom,(![VarCurr: state_type] : (v122(VarCurr) <=> (((v90(VarCurr, 2) <=> $false) & (v90(VarCurr, 1) <=> $true)) & (v90(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 7.07/4.85  tff(1117,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1116, 1115])).
% 7.07/4.85  tff(1118,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1117, 1113])).
% 7.07/4.85  tff(1119,plain,(
% 7.07/4.85      ![VarCurr: state_type] : (v122(VarCurr) <=> ((~v90(VarCurr, 2)) & v90(VarCurr, 1) & v90(VarCurr, 0)))),
% 7.07/4.85      inference(skolemize,[status(sab)],[1118])).
% 7.07/4.85  tff(1120,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1119, 1112])).
% 7.07/4.85  tff(1121,plain,
% 7.07/4.85      (![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))),
% 7.07/4.85      inference(modus_ponens,[status(thm)],[1120, 1110])).
% 7.07/4.85  tff(1122,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0))))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1123,plain,
% 7.07/4.85      ((v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 0)) | (~v90(constB67, 1))))) <=> (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0)))))),
% 7.07/4.85      inference(rewrite,[status(thm)],[])).
% 7.07/4.85  tff(1124,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 0)) | (~v90(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0))))))),
% 7.07/4.85      inference(monotonicity,[status(thm)],[1123])).
% 7.07/4.85  tff(1125,plain,
% 7.07/4.85      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 0)) | (~v90(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0))))))),
% 7.07/4.86      inference(transitivity,[status(thm)],[1124, 1122])).
% 7.07/4.86  tff(1126,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 0)) | (~v90(constB67, 1)))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1127,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1126, 1125])).
% 7.07/4.86  tff(1128,plain,
% 7.07/4.86      (v122(constB67) <=> (~(v90(constB67, 2) | (~v90(constB67, 1)) | (~v90(constB67, 0))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1127, 1121])).
% 7.07/4.86  tff(1129,plain,
% 7.07/4.86      (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1130,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 7.07/4.86  tff(1131,plain,
% 7.07/4.86      (nextState(constB66, constB67)),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1130, 1129])).
% 7.07/4.86  tff(1132,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1133,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1134,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1133, 1132])).
% 7.07/4.86  tff(1135,plain,
% 7.07/4.86      (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1134, 1131, 595])).
% 7.07/4.86  tff(1136,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1137,plain,
% 7.07/4.86      (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1138,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))))),
% 7.07/4.86      inference(monotonicity,[status(thm)],[1137])).
% 7.07/4.86  tff(1139,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.07/4.86      inference(transitivity,[status(thm)],[1138, 1136])).
% 7.07/4.86  tff(1140,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1141,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1140, 1139])).
% 7.07/4.86  tff(1142,plain,
% 7.07/4.86      (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1141, 1131, 615])).
% 7.07/4.86  tff(1143,plain,
% 7.07/4.86      ((~v1(constB67)) <=> (~v1(constB67))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1144,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 7.07/4.86  tff(1145,plain,
% 7.07/4.86      (~v1(constB67)),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1144, 1143])).
% 7.07/4.86  tff(1146,plain,
% 7.07/4.86      (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1147,plain,
% 7.07/4.86      ((~v1(constB67)) | (~v102(constB67))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1146, 1145])).
% 7.07/4.86  tff(1148,plain,
% 7.07/4.86      ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1149,plain,
% 7.07/4.86      ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1148, 1147])).
% 7.07/4.86  tff(1150,plain,
% 7.07/4.86      (~v101(constB67)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1149, 1142])).
% 7.07/4.86  tff(1151,plain,
% 7.07/4.86      (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1152,plain,
% 7.07/4.86      ((~v101(constB67)) | (~v110(constB67))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1151, 1150])).
% 7.07/4.86  tff(1153,plain,
% 7.07/4.86      ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1154,plain,
% 7.07/4.86      (~v100(constB67)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1153, 1152, 1135])).
% 7.07/4.86  tff(1155,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1156,plain,
% 7.07/4.86      ((v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))) <=> (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1157,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))))),
% 7.07/4.86      inference(monotonicity,[status(thm)],[1156])).
% 7.07/4.86  tff(1158,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 7.07/4.86      inference(transitivity,[status(thm)],[1157, 1155])).
% 7.07/4.86  tff(1159,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1160,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1159, 1158])).
% 7.07/4.86  tff(1161,plain,
% 7.07/4.86      (v100(constB67) | (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1160, 1131, 644])).
% 7.07/4.86  tff(1162,plain,
% 7.07/4.86      (~(((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0)))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1161, 1154])).
% 7.07/4.86  tff(1163,plain,
% 7.07/4.86      ((((~v90(constB67, 1)) <=> v90(constB66, 1)) | ((~v90(constB67, 2)) <=> v90(constB66, 2)) | ((~v90(constB67, 0)) <=> v90(constB66, 0))) | (~((~v90(constB67, 2)) <=> v90(constB66, 2)))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1164,plain,
% 7.07/4.86      (~((~v90(constB67, 2)) <=> v90(constB66, 2))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1163, 1162])).
% 7.07/4.86  tff(1165,plain,
% 7.07/4.86      (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1166,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 7.07/4.86  tff(1167,plain,
% 7.07/4.86      (nextState(constB65, constB66)),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1166, 1165])).
% 7.07/4.86  tff(1168,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1169,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1170,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1169, 1168])).
% 7.07/4.86  tff(1171,plain,
% 7.07/4.86      (~(((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0)))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1170, 1167, 667])).
% 7.07/4.86  tff(1172,plain,
% 7.07/4.86      ((((~v129(constB66, 2)) <=> v127(constB65, 2)) | ((~v129(constB66, 1)) <=> v127(constB65, 1)) | ((~v129(constB66, 0)) <=> v127(constB65, 0))) | (~((~v129(constB66, 2)) <=> v127(constB65, 2)))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1173,plain,
% 7.07/4.86      (~((~v129(constB66, 2)) <=> v127(constB65, 2))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1172, 1171])).
% 7.07/4.86  tff(1174,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1175,plain,
% 7.07/4.86      (v111(constB65) <=> v26(constB65)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1174, 686])).
% 7.07/4.86  tff(1176,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1177,plain,
% 7.07/4.86      (~v26(constB65)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1176, 698])).
% 7.07/4.86  tff(1178,plain,
% 7.07/4.86      ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1179,plain,
% 7.07/4.86      ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1178, 1177])).
% 7.07/4.86  tff(1180,plain,
% 7.07/4.86      (~v111(constB65)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1179, 1175])).
% 7.07/4.86  tff(1181,plain,
% 7.07/4.86      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1182,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1183,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1182, 1181])).
% 7.07/4.86  tff(1184,plain,
% 7.07/4.86      (v111(constB65) | (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1183, 716])).
% 7.07/4.86  tff(1185,plain,
% 7.07/4.86      (~(((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0)))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1184, 1180])).
% 7.07/4.86  tff(1186,plain,
% 7.07/4.86      ((((~v127(constB65, 2)) <=> v130(constB65, 2)) | ((~v127(constB65, 1)) <=> v130(constB65, 1)) | ((~v127(constB65, 0)) <=> v130(constB65, 0))) | (~((~v127(constB65, 2)) <=> v130(constB65, 2)))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1187,plain,
% 7.07/4.86      (~((~v127(constB65, 2)) <=> v130(constB65, 2))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1186, 1185])).
% 7.07/4.86  tff(1188,plain,
% 7.07/4.86      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1189,plain,
% 7.07/4.86      ((v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1))))) <=> (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1190,plain,
% 7.07/4.86      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 7.07/4.86      inference(monotonicity,[status(thm)],[1189])).
% 7.07/4.86  tff(1191,plain,
% 7.07/4.86      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))))),
% 7.07/4.86      inference(transitivity,[status(thm)],[1190, 1188])).
% 7.07/4.86  tff(1192,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 0) | v90(constB65, 2) | (~v90(constB65, 1)))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1193,plain,
% 7.07/4.86      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1192, 1191])).
% 7.07/4.86  tff(1194,plain,
% 7.07/4.86      (v121(constB65) <=> (~(v90(constB65, 2) | v90(constB65, 0) | (~v90(constB65, 1))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1193, 736])).
% 7.07/4.86  tff(1195,plain,
% 7.07/4.86      (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1196,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 7.07/4.86  tff(1197,plain,
% 7.07/4.86      (nextState(constB64, constB65)),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1196, 1195])).
% 7.07/4.86  tff(1198,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1199,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1200,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1199, 1198])).
% 7.07/4.86  tff(1201,plain,
% 7.07/4.86      (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1200, 1197, 595])).
% 7.07/4.86  tff(1202,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1203,plain,
% 7.07/4.86      (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1204,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))))),
% 7.07/4.86      inference(monotonicity,[status(thm)],[1203])).
% 7.07/4.86  tff(1205,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 7.07/4.86      inference(transitivity,[status(thm)],[1204, 1202])).
% 7.07/4.86  tff(1206,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 7.07/4.86      inference(quant_inst,[status(thm)],[])).
% 7.07/4.86  tff(1207,plain,
% 7.07/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1206, 1205])).
% 7.07/4.86  tff(1208,plain,
% 7.07/4.86      (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1207, 1197, 615])).
% 7.07/4.86  tff(1209,plain,
% 7.07/4.86      ((~v1(constB65)) <=> (~v1(constB65))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1210,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 7.07/4.86  tff(1211,plain,
% 7.07/4.86      (~v1(constB65)),
% 7.07/4.86      inference(modus_ponens,[status(thm)],[1210, 1209])).
% 7.07/4.86  tff(1212,plain,
% 7.07/4.86      (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1213,plain,
% 7.07/4.86      ((~v1(constB65)) | (~v102(constB65))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1212, 1211])).
% 7.07/4.86  tff(1214,plain,
% 7.07/4.86      ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1215,plain,
% 7.07/4.86      ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1214, 1213])).
% 7.07/4.86  tff(1216,plain,
% 7.07/4.86      (~v101(constB65)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1215, 1208])).
% 7.07/4.86  tff(1217,plain,
% 7.07/4.86      (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1218,plain,
% 7.07/4.86      ((~v101(constB65)) | (~v110(constB65))),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1217, 1216])).
% 7.07/4.86  tff(1219,plain,
% 7.07/4.86      ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 7.07/4.86      inference(tautology,[status(thm)],[])).
% 7.07/4.86  tff(1220,plain,
% 7.07/4.86      (~v100(constB65)),
% 7.07/4.86      inference(unit_resolution,[status(thm)],[1219, 1218, 1201])).
% 7.07/4.86  tff(1221,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1222,plain,
% 7.07/4.86      ((v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))) <=> (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 7.07/4.86      inference(rewrite,[status(thm)],[])).
% 7.07/4.86  tff(1223,plain,
% 7.07/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))))),
% 7.11/4.86      inference(monotonicity,[status(thm)],[1222])).
% 7.11/4.86  tff(1224,plain,
% 7.11/4.86      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 7.11/4.86      inference(transitivity,[status(thm)],[1223, 1221])).
% 7.11/4.86  tff(1225,plain,
% 7.11/4.86      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))))),
% 7.11/4.86      inference(quant_inst,[status(thm)],[])).
% 7.11/4.86  tff(1226,plain,
% 7.11/4.86      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))),
% 7.11/4.86      inference(modus_ponens,[status(thm)],[1225, 1224])).
% 7.11/4.86  tff(1227,plain,
% 7.11/4.86      (v100(constB65) | (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1226, 1197, 644])).
% 7.11/4.86  tff(1228,plain,
% 7.11/4.86      (~(((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0)))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1227, 1220])).
% 7.11/4.86  tff(1229,plain,
% 7.11/4.86      ((((~v90(constB65, 1)) <=> v90(constB64, 1)) | ((~v90(constB65, 2)) <=> v90(constB64, 2)) | ((~v90(constB65, 0)) <=> v90(constB64, 0))) | (~((~v90(constB65, 2)) <=> v90(constB64, 2)))),
% 7.11/4.86      inference(tautology,[status(thm)],[])).
% 7.11/4.86  tff(1230,plain,
% 7.11/4.86      (~((~v90(constB65, 2)) <=> v90(constB64, 2))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1229, 1228])).
% 7.11/4.86  tff(1231,plain,
% 7.11/4.86      (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 7.11/4.86      inference(rewrite,[status(thm)],[])).
% 7.11/4.86  tff(1232,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 7.11/4.86  tff(1233,plain,
% 7.11/4.86      (nextState(constB63, constB64)),
% 7.11/4.86      inference(modus_ponens,[status(thm)],[1232, 1231])).
% 7.11/4.86  tff(1234,plain,
% 7.11/4.86      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))),
% 7.11/4.86      inference(rewrite,[status(thm)],[])).
% 7.11/4.86  tff(1235,plain,
% 7.11/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))))),
% 7.11/4.86      inference(quant_inst,[status(thm)],[])).
% 7.11/4.86  tff(1236,plain,
% 7.11/4.86      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))))),
% 7.11/4.86      inference(modus_ponens,[status(thm)],[1235, 1234])).
% 7.11/4.86  tff(1237,plain,
% 7.11/4.86      (~(((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0)))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1236, 1233, 667])).
% 7.11/4.86  tff(1238,plain,
% 7.11/4.86      ((((~v129(constB64, 2)) <=> v127(constB63, 2)) | ((~v129(constB64, 1)) <=> v127(constB63, 1)) | ((~v129(constB64, 0)) <=> v127(constB63, 0))) | (~((~v129(constB64, 2)) <=> v127(constB63, 2)))),
% 7.11/4.86      inference(tautology,[status(thm)],[])).
% 7.11/4.86  tff(1239,plain,
% 7.11/4.86      (~((~v129(constB64, 2)) <=> v127(constB63, 2))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1238, 1237])).
% 7.11/4.86  tff(1240,plain,
% 7.11/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 7.11/4.86      inference(quant_inst,[status(thm)],[])).
% 7.11/4.86  tff(1241,plain,
% 7.11/4.86      (v111(constB63) <=> v26(constB63)),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1240, 686])).
% 7.11/4.86  tff(1242,plain,
% 7.11/4.86      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 7.11/4.86      inference(quant_inst,[status(thm)],[])).
% 7.11/4.86  tff(1243,plain,
% 7.11/4.86      (~v26(constB63)),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1242, 698])).
% 7.11/4.86  tff(1244,plain,
% 7.11/4.86      ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 7.11/4.86      inference(tautology,[status(thm)],[])).
% 7.11/4.86  tff(1245,plain,
% 7.11/4.86      ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1244, 1243])).
% 7.11/4.86  tff(1246,plain,
% 7.11/4.86      (~v111(constB63)),
% 7.11/4.86      inference(unit_resolution,[status(thm)],[1245, 1241])).
% 7.11/4.86  tff(1247,plain,
% 7.11/4.86      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))),
% 7.11/4.86      inference(rewrite,[status(thm)],[])).
% 7.11/4.86  tff(1248,plain,
% 7.11/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))))),
% 7.11/4.86      inference(quant_inst,[status(thm)],[])).
% 7.11/4.86  tff(1249,plain,
% 7.11/4.86      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1248, 1247])).
% 7.11/4.87  tff(1250,plain,
% 7.11/4.87      (v111(constB63) | (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1249, 716])).
% 7.11/4.87  tff(1251,plain,
% 7.11/4.87      (~(((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1250, 1246])).
% 7.11/4.87  tff(1252,plain,
% 7.11/4.87      ((((~v127(constB63, 2)) <=> v130(constB63, 2)) | ((~v127(constB63, 1)) <=> v130(constB63, 1)) | ((~v127(constB63, 0)) <=> v130(constB63, 0))) | (~((~v127(constB63, 2)) <=> v130(constB63, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1253,plain,
% 7.11/4.87      (~((~v127(constB63, 2)) <=> v130(constB63, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1252, 1251])).
% 7.11/4.87  tff(1254,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 2) | (~v90(constB63, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1255,plain,
% 7.11/4.87      (v120(constB63) <=> (~(v90(constB63, 1) | v90(constB63, 2) | (~v90(constB63, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1254, 815])).
% 7.11/4.87  tff(1256,plain,
% 7.11/4.87      (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1257,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 7.11/4.87  tff(1258,plain,
% 7.11/4.87      (nextState(constB62, constB63)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1257, 1256])).
% 7.11/4.87  tff(1259,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1260,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1261,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1260, 1259])).
% 7.11/4.87  tff(1262,plain,
% 7.11/4.87      (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1261, 1258, 595])).
% 7.11/4.87  tff(1263,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1264,plain,
% 7.11/4.87      (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1265,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))))),
% 7.11/4.87      inference(monotonicity,[status(thm)],[1264])).
% 7.11/4.87  tff(1266,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 7.11/4.87      inference(transitivity,[status(thm)],[1265, 1263])).
% 7.11/4.87  tff(1267,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1268,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1267, 1266])).
% 7.11/4.87  tff(1269,plain,
% 7.11/4.87      (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1268, 1258, 615])).
% 7.11/4.87  tff(1270,plain,
% 7.11/4.87      ((~v1(constB63)) <=> (~v1(constB63))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1271,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 7.11/4.87  tff(1272,plain,
% 7.11/4.87      (~v1(constB63)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1271, 1270])).
% 7.11/4.87  tff(1273,plain,
% 7.11/4.87      (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1274,plain,
% 7.11/4.87      ((~v1(constB63)) | (~v102(constB63))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1273, 1272])).
% 7.11/4.87  tff(1275,plain,
% 7.11/4.87      ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1276,plain,
% 7.11/4.87      ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1275, 1274])).
% 7.11/4.87  tff(1277,plain,
% 7.11/4.87      (~v101(constB63)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1276, 1269])).
% 7.11/4.87  tff(1278,plain,
% 7.11/4.87      (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1279,plain,
% 7.11/4.87      ((~v101(constB63)) | (~v110(constB63))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1278, 1277])).
% 7.11/4.87  tff(1280,plain,
% 7.11/4.87      ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1281,plain,
% 7.11/4.87      (~v100(constB63)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1280, 1279, 1262])).
% 7.11/4.87  tff(1282,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1283,plain,
% 7.11/4.87      ((v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))) <=> (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1284,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))))),
% 7.11/4.87      inference(monotonicity,[status(thm)],[1283])).
% 7.11/4.87  tff(1285,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 7.11/4.87      inference(transitivity,[status(thm)],[1284, 1282])).
% 7.11/4.87  tff(1286,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1287,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1286, 1285])).
% 7.11/4.87  tff(1288,plain,
% 7.11/4.87      (v100(constB63) | (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1287, 1258, 644])).
% 7.11/4.87  tff(1289,plain,
% 7.11/4.87      (~(((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1288, 1281])).
% 7.11/4.87  tff(1290,plain,
% 7.11/4.87      ((((~v90(constB63, 1)) <=> v90(constB62, 1)) | ((~v90(constB63, 2)) <=> v90(constB62, 2)) | ((~v90(constB63, 0)) <=> v90(constB62, 0))) | (~((~v90(constB63, 2)) <=> v90(constB62, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1291,plain,
% 7.11/4.87      (~((~v90(constB63, 2)) <=> v90(constB62, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1290, 1289])).
% 7.11/4.87  tff(1292,plain,
% 7.11/4.87      (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1293,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 7.11/4.87  tff(1294,plain,
% 7.11/4.87      (nextState(constB61, constB62)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1293, 1292])).
% 7.11/4.87  tff(1295,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1296,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1297,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1296, 1295])).
% 7.11/4.87  tff(1298,plain,
% 7.11/4.87      (~(((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1297, 1294, 667])).
% 7.11/4.87  tff(1299,plain,
% 7.11/4.87      ((((~v129(constB62, 2)) <=> v127(constB61, 2)) | ((~v129(constB62, 1)) <=> v127(constB61, 1)) | ((~v129(constB62, 0)) <=> v127(constB61, 0))) | (~((~v129(constB62, 2)) <=> v127(constB61, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1300,plain,
% 7.11/4.87      (~((~v129(constB62, 2)) <=> v127(constB61, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1299, 1298])).
% 7.11/4.87  tff(1301,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1302,plain,
% 7.11/4.87      (v111(constB61) <=> v26(constB61)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1301, 686])).
% 7.11/4.87  tff(1303,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1304,plain,
% 7.11/4.87      (~v26(constB61)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1303, 698])).
% 7.11/4.87  tff(1305,plain,
% 7.11/4.87      ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1306,plain,
% 7.11/4.87      ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1305, 1304])).
% 7.11/4.87  tff(1307,plain,
% 7.11/4.87      (~v111(constB61)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1306, 1302])).
% 7.11/4.87  tff(1308,plain,
% 7.11/4.87      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1309,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1310,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1309, 1308])).
% 7.11/4.87  tff(1311,plain,
% 7.11/4.87      (v111(constB61) | (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1310, 716])).
% 7.11/4.87  tff(1312,plain,
% 7.11/4.87      (~(((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1311, 1307])).
% 7.11/4.87  tff(1313,plain,
% 7.11/4.87      ((((~v127(constB61, 2)) <=> v130(constB61, 2)) | ((~v127(constB61, 1)) <=> v130(constB61, 1)) | ((~v127(constB61, 0)) <=> v130(constB61, 0))) | (~((~v127(constB61, 2)) <=> v130(constB61, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1314,plain,
% 7.11/4.87      (~((~v127(constB61, 2)) <=> v130(constB61, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1313, 1312])).
% 7.11/4.87  tff(1315,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB61) <=> (~(v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1316,plain,
% 7.11/4.87      (v119(constB61) <=> (~(v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1315, 889])).
% 7.11/4.87  tff(1317,plain,
% 7.11/4.87      (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1318,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 7.11/4.87  tff(1319,plain,
% 7.11/4.87      (nextState(constB60, constB61)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1318, 1317])).
% 7.11/4.87  tff(1320,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1321,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1322,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1321, 1320])).
% 7.11/4.87  tff(1323,plain,
% 7.11/4.87      (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1322, 1319, 595])).
% 7.11/4.87  tff(1324,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1325,plain,
% 7.11/4.87      (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1326,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))))),
% 7.11/4.87      inference(monotonicity,[status(thm)],[1325])).
% 7.11/4.87  tff(1327,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 7.11/4.87      inference(transitivity,[status(thm)],[1326, 1324])).
% 7.11/4.87  tff(1328,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1329,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1328, 1327])).
% 7.11/4.87  tff(1330,plain,
% 7.11/4.87      (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1329, 1319, 615])).
% 7.11/4.87  tff(1331,plain,
% 7.11/4.87      ((~v1(constB61)) <=> (~v1(constB61))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1332,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 7.11/4.87  tff(1333,plain,
% 7.11/4.87      (~v1(constB61)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1332, 1331])).
% 7.11/4.87  tff(1334,plain,
% 7.11/4.87      (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1335,plain,
% 7.11/4.87      ((~v1(constB61)) | (~v102(constB61))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1334, 1333])).
% 7.11/4.87  tff(1336,plain,
% 7.11/4.87      ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1337,plain,
% 7.11/4.87      ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1336, 1335])).
% 7.11/4.87  tff(1338,plain,
% 7.11/4.87      (~v101(constB61)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1337, 1330])).
% 7.11/4.87  tff(1339,plain,
% 7.11/4.87      (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1340,plain,
% 7.11/4.87      ((~v101(constB61)) | (~v110(constB61))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1339, 1338])).
% 7.11/4.87  tff(1341,plain,
% 7.11/4.87      ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1342,plain,
% 7.11/4.87      (~v100(constB61)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1341, 1340, 1323])).
% 7.11/4.87  tff(1343,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1344,plain,
% 7.11/4.87      ((v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))) <=> (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1345,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))))),
% 7.11/4.87      inference(monotonicity,[status(thm)],[1344])).
% 7.11/4.87  tff(1346,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 7.11/4.87      inference(transitivity,[status(thm)],[1345, 1343])).
% 7.11/4.87  tff(1347,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1348,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1347, 1346])).
% 7.11/4.87  tff(1349,plain,
% 7.11/4.87      (v100(constB61) | (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1348, 1319, 644])).
% 7.11/4.87  tff(1350,plain,
% 7.11/4.87      (~(((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1349, 1342])).
% 7.11/4.87  tff(1351,plain,
% 7.11/4.87      ((((~v90(constB61, 1)) <=> v90(constB60, 1)) | ((~v90(constB61, 2)) <=> v90(constB60, 2)) | ((~v90(constB61, 0)) <=> v90(constB60, 0))) | (~((~v90(constB61, 2)) <=> v90(constB60, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1352,plain,
% 7.11/4.87      (~((~v90(constB61, 2)) <=> v90(constB60, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1351, 1350])).
% 7.11/4.87  tff(1353,plain,
% 7.11/4.87      (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1354,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 7.11/4.87  tff(1355,plain,
% 7.11/4.87      (nextState(constB59, constB60)),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1354, 1353])).
% 7.11/4.87  tff(1356,plain,
% 7.11/4.87      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1357,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1358,plain,
% 7.11/4.87      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1357, 1356])).
% 7.11/4.87  tff(1359,plain,
% 7.11/4.87      (~(((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1358, 1355, 667])).
% 7.11/4.87  tff(1360,plain,
% 7.11/4.87      ((((~v129(constB60, 2)) <=> v127(constB59, 2)) | ((~v129(constB60, 1)) <=> v127(constB59, 1)) | ((~v129(constB60, 0)) <=> v127(constB59, 0))) | (~((~v129(constB60, 2)) <=> v127(constB59, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1361,plain,
% 7.11/4.87      (~((~v129(constB60, 2)) <=> v127(constB59, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1360, 1359])).
% 7.11/4.87  tff(1362,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1363,plain,
% 7.11/4.87      (v111(constB59) <=> v26(constB59)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1362, 686])).
% 7.11/4.87  tff(1364,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1365,plain,
% 7.11/4.87      (~v26(constB59)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1364, 698])).
% 7.11/4.87  tff(1366,plain,
% 7.11/4.87      ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1367,plain,
% 7.11/4.87      ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1366, 1365])).
% 7.11/4.87  tff(1368,plain,
% 7.11/4.87      (~v111(constB59)),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1367, 1363])).
% 7.11/4.87  tff(1369,plain,
% 7.11/4.87      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1370,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))))),
% 7.11/4.87      inference(quant_inst,[status(thm)],[])).
% 7.11/4.87  tff(1371,plain,
% 7.11/4.87      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))))),
% 7.11/4.87      inference(modus_ponens,[status(thm)],[1370, 1369])).
% 7.11/4.87  tff(1372,plain,
% 7.11/4.87      (v111(constB59) | (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1371, 716])).
% 7.11/4.87  tff(1373,plain,
% 7.11/4.87      (~(((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0)))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1372, 1368])).
% 7.11/4.87  tff(1374,plain,
% 7.11/4.87      ((((~v127(constB59, 2)) <=> v130(constB59, 2)) | ((~v127(constB59, 1)) <=> v130(constB59, 1)) | ((~v127(constB59, 0)) <=> v130(constB59, 0))) | (~((~v127(constB59, 2)) <=> v130(constB59, 2)))),
% 7.11/4.87      inference(tautology,[status(thm)],[])).
% 7.11/4.87  tff(1375,plain,
% 7.11/4.87      (~((~v127(constB59, 2)) <=> v130(constB59, 2))),
% 7.11/4.87      inference(unit_resolution,[status(thm)],[1374, 1373])).
% 7.11/4.87  tff(1376,plain,
% 7.11/4.87      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0))))))),
% 7.11/4.87      inference(rewrite,[status(thm)],[])).
% 7.11/4.87  tff(1377,plain,
% 7.11/4.87      ((v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 0)) | (~v90(constB59, 2))))) <=> (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1378,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 0)) | (~v90(constB59, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1377])).
% 7.11/4.88  tff(1379,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 0)) | (~v90(constB59, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0))))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1378, 1376])).
% 7.11/4.88  tff(1380,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 0)) | (~v90(constB59, 2)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1381,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1380, 1379])).
% 7.11/4.88  tff(1382,plain,
% 7.11/4.88      (v124(constB59) <=> (~(v90(constB59, 1) | (~v90(constB59, 2)) | (~v90(constB59, 0))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1381, 963])).
% 7.11/4.88  tff(1383,plain,
% 7.11/4.88      (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1384,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 7.11/4.88  tff(1385,plain,
% 7.11/4.88      (nextState(constB58, constB59)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1384, 1383])).
% 7.11/4.88  tff(1386,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1387,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1388,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1387, 1386])).
% 7.11/4.88  tff(1389,plain,
% 7.11/4.88      (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1388, 1385, 595])).
% 7.11/4.88  tff(1390,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1391,plain,
% 7.11/4.88      (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1392,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1391])).
% 7.11/4.88  tff(1393,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1392, 1390])).
% 7.11/4.88  tff(1394,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1395,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1394, 1393])).
% 7.11/4.88  tff(1396,plain,
% 7.11/4.88      (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1395, 1385, 615])).
% 7.11/4.88  tff(1397,plain,
% 7.11/4.88      ((~v1(constB59)) <=> (~v1(constB59))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1398,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 7.11/4.88  tff(1399,plain,
% 7.11/4.88      (~v1(constB59)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1398, 1397])).
% 7.11/4.88  tff(1400,plain,
% 7.11/4.88      (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1401,plain,
% 7.11/4.88      ((~v1(constB59)) | (~v102(constB59))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1400, 1399])).
% 7.11/4.88  tff(1402,plain,
% 7.11/4.88      ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1403,plain,
% 7.11/4.88      ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1402, 1401])).
% 7.11/4.88  tff(1404,plain,
% 7.11/4.88      (~v101(constB59)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1403, 1396])).
% 7.11/4.88  tff(1405,plain,
% 7.11/4.88      (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1406,plain,
% 7.11/4.88      ((~v101(constB59)) | (~v110(constB59))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1405, 1404])).
% 7.11/4.88  tff(1407,plain,
% 7.11/4.88      ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1408,plain,
% 7.11/4.88      (~v100(constB59)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1407, 1406, 1389])).
% 7.11/4.88  tff(1409,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1410,plain,
% 7.11/4.88      ((v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))) <=> (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1411,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1410])).
% 7.11/4.88  tff(1412,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1411, 1409])).
% 7.11/4.88  tff(1413,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1414,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1413, 1412])).
% 7.11/4.88  tff(1415,plain,
% 7.11/4.88      (v100(constB59) | (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1414, 1385, 644])).
% 7.11/4.88  tff(1416,plain,
% 7.11/4.88      (~(((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0)))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1415, 1408])).
% 7.11/4.88  tff(1417,plain,
% 7.11/4.88      ((((~v90(constB59, 1)) <=> v90(constB58, 1)) | ((~v90(constB59, 2)) <=> v90(constB58, 2)) | ((~v90(constB59, 0)) <=> v90(constB58, 0))) | (~((~v90(constB59, 2)) <=> v90(constB58, 2)))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1418,plain,
% 7.11/4.88      (~((~v90(constB59, 2)) <=> v90(constB58, 2))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1417, 1416])).
% 7.11/4.88  tff(1419,plain,
% 7.11/4.88      (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1420,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 7.11/4.88  tff(1421,plain,
% 7.11/4.88      (nextState(constB57, constB58)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1420, 1419])).
% 7.11/4.88  tff(1422,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1423,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1424,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1423, 1422])).
% 7.11/4.88  tff(1425,plain,
% 7.11/4.88      (~(((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0)))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1424, 1421, 667])).
% 7.11/4.88  tff(1426,plain,
% 7.11/4.88      ((((~v129(constB58, 2)) <=> v127(constB57, 2)) | ((~v129(constB58, 1)) <=> v127(constB57, 1)) | ((~v129(constB58, 0)) <=> v127(constB57, 0))) | (~((~v129(constB58, 2)) <=> v127(constB57, 2)))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1427,plain,
% 7.11/4.88      (~((~v129(constB58, 2)) <=> v127(constB57, 2))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1426, 1425])).
% 7.11/4.88  tff(1428,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1429,plain,
% 7.11/4.88      (v111(constB57) <=> v26(constB57)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1428, 686])).
% 7.11/4.88  tff(1430,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1431,plain,
% 7.11/4.88      (~v26(constB57)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1430, 698])).
% 7.11/4.88  tff(1432,plain,
% 7.11/4.88      ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1433,plain,
% 7.11/4.88      ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1432, 1431])).
% 7.11/4.88  tff(1434,plain,
% 7.11/4.88      (~v111(constB57)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1433, 1429])).
% 7.11/4.88  tff(1435,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1436,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1437,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1436, 1435])).
% 7.11/4.88  tff(1438,plain,
% 7.11/4.88      (v111(constB57) | (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1437, 716])).
% 7.11/4.88  tff(1439,plain,
% 7.11/4.88      (~(((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0)))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1438, 1434])).
% 7.11/4.88  tff(1440,plain,
% 7.11/4.88      ((((~v127(constB57, 2)) <=> v130(constB57, 2)) | ((~v127(constB57, 1)) <=> v130(constB57, 1)) | ((~v127(constB57, 0)) <=> v130(constB57, 0))) | (~((~v127(constB57, 2)) <=> v130(constB57, 2)))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1441,plain,
% 7.11/4.88      (~((~v127(constB57, 2)) <=> v130(constB57, 2))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1440, 1439])).
% 7.11/4.88  tff(1442,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1443,plain,
% 7.11/4.88      ((v123(constB57) <=> (~(v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2))))) <=> (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1444,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1443])).
% 7.11/4.88  tff(1445,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2))))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1444, 1442])).
% 7.11/4.88  tff(1446,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1447,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1446, 1445])).
% 7.11/4.88  tff(1448,plain,
% 7.11/4.88      (v123(constB57) <=> (~(v90(constB57, 1) | v90(constB57, 0) | (~v90(constB57, 2))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1447, 1042])).
% 7.11/4.88  tff(1449,plain,
% 7.11/4.88      (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1450,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 7.11/4.88  tff(1451,plain,
% 7.11/4.88      (nextState(constB56, constB57)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1450, 1449])).
% 7.11/4.88  tff(1452,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1453,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1454,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1453, 1452])).
% 7.11/4.88  tff(1455,plain,
% 7.11/4.88      (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1454, 1451, 595])).
% 7.11/4.88  tff(1456,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1457,plain,
% 7.11/4.88      (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1458,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1457])).
% 7.11/4.88  tff(1459,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1458, 1456])).
% 7.11/4.88  tff(1460,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1461,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1460, 1459])).
% 7.11/4.88  tff(1462,plain,
% 7.11/4.88      (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1461, 1451, 615])).
% 7.11/4.88  tff(1463,plain,
% 7.11/4.88      ((~v1(constB57)) <=> (~v1(constB57))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1464,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 7.11/4.88  tff(1465,plain,
% 7.11/4.88      (~v1(constB57)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1464, 1463])).
% 7.11/4.88  tff(1466,plain,
% 7.11/4.88      (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1467,plain,
% 7.11/4.88      ((~v1(constB57)) | (~v102(constB57))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1466, 1465])).
% 7.11/4.88  tff(1468,plain,
% 7.11/4.88      ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1469,plain,
% 7.11/4.88      ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1468, 1467])).
% 7.11/4.88  tff(1470,plain,
% 7.11/4.88      (~v101(constB57)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1469, 1462])).
% 7.11/4.88  tff(1471,plain,
% 7.11/4.88      (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1472,plain,
% 7.11/4.88      ((~v101(constB57)) | (~v110(constB57))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1471, 1470])).
% 7.11/4.88  tff(1473,plain,
% 7.11/4.88      ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1474,plain,
% 7.11/4.88      (~v100(constB57)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1473, 1472, 1455])).
% 7.11/4.88  tff(1475,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1476,plain,
% 7.11/4.88      ((v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))) <=> (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1477,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))))),
% 7.11/4.88      inference(monotonicity,[status(thm)],[1476])).
% 7.11/4.88  tff(1478,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 7.11/4.88      inference(transitivity,[status(thm)],[1477, 1475])).
% 7.11/4.88  tff(1479,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1480,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1479, 1478])).
% 7.11/4.88  tff(1481,plain,
% 7.11/4.88      (v100(constB57) | (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1480, 1451, 644])).
% 7.11/4.88  tff(1482,plain,
% 7.11/4.88      (~(((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0)))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1481, 1474])).
% 7.11/4.88  tff(1483,plain,
% 7.11/4.88      ((((~v90(constB57, 1)) <=> v90(constB56, 1)) | ((~v90(constB57, 2)) <=> v90(constB56, 2)) | ((~v90(constB57, 0)) <=> v90(constB56, 0))) | (~((~v90(constB57, 2)) <=> v90(constB56, 2)))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1484,plain,
% 7.11/4.88      (~((~v90(constB57, 2)) <=> v90(constB56, 2))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1483, 1482])).
% 7.11/4.88  tff(1485,plain,
% 7.11/4.88      (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1486,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 7.11/4.88  tff(1487,plain,
% 7.11/4.88      (nextState(constB55, constB56)),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1486, 1485])).
% 7.11/4.88  tff(1488,plain,
% 7.11/4.88      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))),
% 7.11/4.88      inference(rewrite,[status(thm)],[])).
% 7.11/4.88  tff(1489,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1490,plain,
% 7.11/4.88      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))))),
% 7.11/4.88      inference(modus_ponens,[status(thm)],[1489, 1488])).
% 7.11/4.88  tff(1491,plain,
% 7.11/4.88      (~(((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0)))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1490, 1487, 667])).
% 7.11/4.88  tff(1492,plain,
% 7.11/4.88      ((((~v129(constB56, 2)) <=> v127(constB55, 2)) | ((~v129(constB56, 1)) <=> v127(constB55, 1)) | ((~v129(constB56, 0)) <=> v127(constB55, 0))) | (~((~v129(constB56, 2)) <=> v127(constB55, 2)))),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1493,plain,
% 7.11/4.88      (~((~v129(constB56, 2)) <=> v127(constB55, 2))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1492, 1491])).
% 7.11/4.88  tff(1494,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1495,plain,
% 7.11/4.88      (v111(constB55) <=> v26(constB55)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1494, 686])).
% 7.11/4.88  tff(1496,plain,
% 7.11/4.88      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 7.11/4.88      inference(quant_inst,[status(thm)],[])).
% 7.11/4.88  tff(1497,plain,
% 7.11/4.88      (~v26(constB55)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1496, 698])).
% 7.11/4.88  tff(1498,plain,
% 7.11/4.88      ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 7.11/4.88      inference(tautology,[status(thm)],[])).
% 7.11/4.88  tff(1499,plain,
% 7.11/4.88      ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1498, 1497])).
% 7.11/4.88  tff(1500,plain,
% 7.11/4.88      (~v111(constB55)),
% 7.11/4.88      inference(unit_resolution,[status(thm)],[1499, 1495])).
% 7.11/4.88  tff(1501,plain,
% 7.11/4.88      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1502,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1503,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1502, 1501])).
% 7.11/4.89  tff(1504,plain,
% 7.11/4.89      (v111(constB55) | (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1503, 716])).
% 7.11/4.89  tff(1505,plain,
% 7.11/4.89      (~(((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0)))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1504, 1500])).
% 7.11/4.89  tff(1506,plain,
% 7.11/4.89      ((((~v127(constB55, 2)) <=> v130(constB55, 2)) | ((~v127(constB55, 1)) <=> v130(constB55, 1)) | ((~v127(constB55, 0)) <=> v130(constB55, 0))) | (~((~v127(constB55, 2)) <=> v130(constB55, 2)))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1507,plain,
% 7.11/4.89      (~((~v127(constB55, 2)) <=> v130(constB55, 2))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1506, 1505])).
% 7.11/4.89  tff(1508,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1509,plain,
% 7.11/4.89      ((v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1))))) <=> (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1510,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1509])).
% 7.11/4.89  tff(1511,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1510, 1508])).
% 7.11/4.89  tff(1512,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 0)) | (~v90(constB55, 1)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1513,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1512, 1511])).
% 7.11/4.89  tff(1514,plain,
% 7.11/4.89      (v122(constB55) <=> (~(v90(constB55, 2) | (~v90(constB55, 1)) | (~v90(constB55, 0))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1513, 1121])).
% 7.11/4.89  tff(1515,plain,
% 7.11/4.89      (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1516,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 7.11/4.89  tff(1517,plain,
% 7.11/4.89      (nextState(constB54, constB55)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1516, 1515])).
% 7.11/4.89  tff(1518,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1519,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1520,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1519, 1518])).
% 7.11/4.89  tff(1521,plain,
% 7.11/4.89      (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1520, 1517, 595])).
% 7.11/4.89  tff(1522,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1523,plain,
% 7.11/4.89      (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1524,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1523])).
% 7.11/4.89  tff(1525,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1524, 1522])).
% 7.11/4.89  tff(1526,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1527,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1526, 1525])).
% 7.11/4.89  tff(1528,plain,
% 7.11/4.89      (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1527, 1517, 615])).
% 7.11/4.89  tff(1529,plain,
% 7.11/4.89      ((~v1(constB55)) <=> (~v1(constB55))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1530,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 7.11/4.89  tff(1531,plain,
% 7.11/4.89      (~v1(constB55)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1530, 1529])).
% 7.11/4.89  tff(1532,plain,
% 7.11/4.89      (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1533,plain,
% 7.11/4.89      ((~v1(constB55)) | (~v102(constB55))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1532, 1531])).
% 7.11/4.89  tff(1534,plain,
% 7.11/4.89      ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1535,plain,
% 7.11/4.89      ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1534, 1533])).
% 7.11/4.89  tff(1536,plain,
% 7.11/4.89      (~v101(constB55)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1535, 1528])).
% 7.11/4.89  tff(1537,plain,
% 7.11/4.89      (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1538,plain,
% 7.11/4.89      ((~v101(constB55)) | (~v110(constB55))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1537, 1536])).
% 7.11/4.89  tff(1539,plain,
% 7.11/4.89      ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1540,plain,
% 7.11/4.89      (~v100(constB55)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1539, 1538, 1521])).
% 7.11/4.89  tff(1541,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1542,plain,
% 7.11/4.89      ((v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))) <=> (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1543,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1542])).
% 7.11/4.89  tff(1544,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1543, 1541])).
% 7.11/4.89  tff(1545,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1546,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1545, 1544])).
% 7.11/4.89  tff(1547,plain,
% 7.11/4.89      (v100(constB55) | (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1546, 1517, 644])).
% 7.11/4.89  tff(1548,plain,
% 7.11/4.89      (~(((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0)))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1547, 1540])).
% 7.11/4.89  tff(1549,plain,
% 7.11/4.89      ((((~v90(constB55, 1)) <=> v90(constB54, 1)) | ((~v90(constB55, 2)) <=> v90(constB54, 2)) | ((~v90(constB55, 0)) <=> v90(constB54, 0))) | (~((~v90(constB55, 2)) <=> v90(constB54, 2)))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1550,plain,
% 7.11/4.89      (~((~v90(constB55, 2)) <=> v90(constB54, 2))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1549, 1548])).
% 7.11/4.89  tff(1551,plain,
% 7.11/4.89      (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1552,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 7.11/4.89  tff(1553,plain,
% 7.11/4.89      (nextState(constB53, constB54)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1552, 1551])).
% 7.11/4.89  tff(1554,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1555,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1556,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1555, 1554])).
% 7.11/4.89  tff(1557,plain,
% 7.11/4.89      (~(((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0)))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1556, 1553, 667])).
% 7.11/4.89  tff(1558,plain,
% 7.11/4.89      ((((~v129(constB54, 2)) <=> v127(constB53, 2)) | ((~v129(constB54, 1)) <=> v127(constB53, 1)) | ((~v129(constB54, 0)) <=> v127(constB53, 0))) | (~((~v129(constB54, 2)) <=> v127(constB53, 2)))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1559,plain,
% 7.11/4.89      (~((~v129(constB54, 2)) <=> v127(constB53, 2))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1558, 1557])).
% 7.11/4.89  tff(1560,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1561,plain,
% 7.11/4.89      (v111(constB53) <=> v26(constB53)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1560, 686])).
% 7.11/4.89  tff(1562,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1563,plain,
% 7.11/4.89      (~v26(constB53)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1562, 698])).
% 7.11/4.89  tff(1564,plain,
% 7.11/4.89      ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1565,plain,
% 7.11/4.89      ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1564, 1563])).
% 7.11/4.89  tff(1566,plain,
% 7.11/4.89      (~v111(constB53)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1565, 1561])).
% 7.11/4.89  tff(1567,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1568,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1569,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1568, 1567])).
% 7.11/4.89  tff(1570,plain,
% 7.11/4.89      (v111(constB53) | (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1569, 716])).
% 7.11/4.89  tff(1571,plain,
% 7.11/4.89      (~(((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0)))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1570, 1566])).
% 7.11/4.89  tff(1572,plain,
% 7.11/4.89      ((((~v127(constB53, 2)) <=> v130(constB53, 2)) | ((~v127(constB53, 1)) <=> v130(constB53, 1)) | ((~v127(constB53, 0)) <=> v130(constB53, 0))) | (~((~v127(constB53, 2)) <=> v130(constB53, 2)))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1573,plain,
% 7.11/4.89      (~((~v127(constB53, 2)) <=> v130(constB53, 2))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1572, 1571])).
% 7.11/4.89  tff(1574,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1575,plain,
% 7.11/4.89      ((v121(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 2) | (~v90(constB53, 1))))) <=> (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1576,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 2) | (~v90(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1575])).
% 7.11/4.89  tff(1577,plain,
% 7.11/4.89      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 2) | (~v90(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1))))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1576, 1574])).
% 7.11/4.89  tff(1578,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 0) | v90(constB53, 2) | (~v90(constB53, 1)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1579,plain,
% 7.11/4.89      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1578, 1577])).
% 7.11/4.89  tff(1580,plain,
% 7.11/4.89      (v121(constB53) <=> (~(v90(constB53, 2) | v90(constB53, 0) | (~v90(constB53, 1))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1579, 736])).
% 7.11/4.89  tff(1581,plain,
% 7.11/4.89      (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1582,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 7.11/4.89  tff(1583,plain,
% 7.11/4.89      (nextState(constB52, constB53)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1582, 1581])).
% 7.11/4.89  tff(1584,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1585,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1586,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1585, 1584])).
% 7.11/4.89  tff(1587,plain,
% 7.11/4.89      (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1586, 1583, 595])).
% 7.11/4.89  tff(1588,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1589,plain,
% 7.11/4.89      (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1590,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1589])).
% 7.11/4.89  tff(1591,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1590, 1588])).
% 7.11/4.89  tff(1592,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1593,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1592, 1591])).
% 7.11/4.89  tff(1594,plain,
% 7.11/4.89      (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1593, 1583, 615])).
% 7.11/4.89  tff(1595,plain,
% 7.11/4.89      ((~v1(constB53)) <=> (~v1(constB53))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1596,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 7.11/4.89  tff(1597,plain,
% 7.11/4.89      (~v1(constB53)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1596, 1595])).
% 7.11/4.89  tff(1598,plain,
% 7.11/4.89      (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1599,plain,
% 7.11/4.89      ((~v1(constB53)) | (~v102(constB53))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1598, 1597])).
% 7.11/4.89  tff(1600,plain,
% 7.11/4.89      ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1601,plain,
% 7.11/4.89      ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1600, 1599])).
% 7.11/4.89  tff(1602,plain,
% 7.11/4.89      (~v101(constB53)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1601, 1594])).
% 7.11/4.89  tff(1603,plain,
% 7.11/4.89      (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1604,plain,
% 7.11/4.89      ((~v101(constB53)) | (~v110(constB53))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1603, 1602])).
% 7.11/4.89  tff(1605,plain,
% 7.11/4.89      ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1606,plain,
% 7.11/4.89      (~v100(constB53)),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1605, 1604, 1587])).
% 7.11/4.89  tff(1607,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1608,plain,
% 7.11/4.89      ((v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))) <=> (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1609,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))))),
% 7.11/4.89      inference(monotonicity,[status(thm)],[1608])).
% 7.11/4.89  tff(1610,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 7.11/4.89      inference(transitivity,[status(thm)],[1609, 1607])).
% 7.11/4.89  tff(1611,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1612,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1611, 1610])).
% 7.11/4.89  tff(1613,plain,
% 7.11/4.89      (v100(constB53) | (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1612, 1583, 644])).
% 7.11/4.89  tff(1614,plain,
% 7.11/4.89      (~(((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0)))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1613, 1606])).
% 7.11/4.89  tff(1615,plain,
% 7.11/4.89      ((((~v90(constB53, 1)) <=> v90(constB52, 1)) | ((~v90(constB53, 2)) <=> v90(constB52, 2)) | ((~v90(constB53, 0)) <=> v90(constB52, 0))) | (~((~v90(constB53, 2)) <=> v90(constB52, 2)))),
% 7.11/4.89      inference(tautology,[status(thm)],[])).
% 7.11/4.89  tff(1616,plain,
% 7.11/4.89      (~((~v90(constB53, 2)) <=> v90(constB52, 2))),
% 7.11/4.89      inference(unit_resolution,[status(thm)],[1615, 1614])).
% 7.11/4.89  tff(1617,plain,
% 7.11/4.89      (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1618,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 7.11/4.89  tff(1619,plain,
% 7.11/4.89      (nextState(constB51, constB52)),
% 7.11/4.89      inference(modus_ponens,[status(thm)],[1618, 1617])).
% 7.11/4.89  tff(1620,plain,
% 7.11/4.89      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))),
% 7.11/4.89      inference(rewrite,[status(thm)],[])).
% 7.11/4.89  tff(1621,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))))),
% 7.11/4.89      inference(quant_inst,[status(thm)],[])).
% 7.11/4.89  tff(1622,plain,
% 7.11/4.89      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1621, 1620])).
% 7.11/4.90  tff(1623,plain,
% 7.11/4.90      (~(((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1622, 1619, 667])).
% 7.11/4.90  tff(1624,plain,
% 7.11/4.90      ((((~v129(constB52, 2)) <=> v127(constB51, 2)) | ((~v129(constB52, 1)) <=> v127(constB51, 1)) | ((~v129(constB52, 0)) <=> v127(constB51, 0))) | (~((~v129(constB52, 2)) <=> v127(constB51, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1625,plain,
% 7.11/4.90      (~((~v129(constB52, 2)) <=> v127(constB51, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1624, 1623])).
% 7.11/4.90  tff(1626,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1627,plain,
% 7.11/4.90      (v111(constB51) <=> v26(constB51)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1626, 686])).
% 7.11/4.90  tff(1628,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1629,plain,
% 7.11/4.90      (~v26(constB51)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1628, 698])).
% 7.11/4.90  tff(1630,plain,
% 7.11/4.90      ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1631,plain,
% 7.11/4.90      ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1630, 1629])).
% 7.11/4.90  tff(1632,plain,
% 7.11/4.90      (~v111(constB51)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1631, 1627])).
% 7.11/4.90  tff(1633,plain,
% 7.11/4.90      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1634,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1635,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1634, 1633])).
% 7.11/4.90  tff(1636,plain,
% 7.11/4.90      (v111(constB51) | (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1635, 716])).
% 7.11/4.90  tff(1637,plain,
% 7.11/4.90      (~(((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1636, 1632])).
% 7.11/4.90  tff(1638,plain,
% 7.11/4.90      ((((~v127(constB51, 2)) <=> v130(constB51, 2)) | ((~v127(constB51, 1)) <=> v130(constB51, 1)) | ((~v127(constB51, 0)) <=> v130(constB51, 0))) | (~((~v127(constB51, 2)) <=> v130(constB51, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1639,plain,
% 7.11/4.90      (~((~v127(constB51, 2)) <=> v130(constB51, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1638, 1637])).
% 7.11/4.90  tff(1640,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB51) <=> (~(v90(constB51, 1) | v90(constB51, 2) | (~v90(constB51, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1641,plain,
% 7.11/4.90      (v120(constB51) <=> (~(v90(constB51, 1) | v90(constB51, 2) | (~v90(constB51, 0))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1640, 815])).
% 7.11/4.90  tff(1642,plain,
% 7.11/4.90      (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1643,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 7.11/4.90  tff(1644,plain,
% 7.11/4.90      (nextState(constB50, constB51)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1643, 1642])).
% 7.11/4.90  tff(1645,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1646,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1647,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1646, 1645])).
% 7.11/4.90  tff(1648,plain,
% 7.11/4.90      (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1647, 1644, 595])).
% 7.11/4.90  tff(1649,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1650,plain,
% 7.11/4.90      (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1651,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))))),
% 7.11/4.90      inference(monotonicity,[status(thm)],[1650])).
% 7.11/4.90  tff(1652,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 7.11/4.90      inference(transitivity,[status(thm)],[1651, 1649])).
% 7.11/4.90  tff(1653,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1654,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1653, 1652])).
% 7.11/4.90  tff(1655,plain,
% 7.11/4.90      (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1654, 1644, 615])).
% 7.11/4.90  tff(1656,plain,
% 7.11/4.90      ((~v1(constB51)) <=> (~v1(constB51))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1657,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 7.11/4.90  tff(1658,plain,
% 7.11/4.90      (~v1(constB51)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1657, 1656])).
% 7.11/4.90  tff(1659,plain,
% 7.11/4.90      (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1660,plain,
% 7.11/4.90      ((~v1(constB51)) | (~v102(constB51))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1659, 1658])).
% 7.11/4.90  tff(1661,plain,
% 7.11/4.90      ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1662,plain,
% 7.11/4.90      ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1661, 1660])).
% 7.11/4.90  tff(1663,plain,
% 7.11/4.90      (~v101(constB51)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1662, 1655])).
% 7.11/4.90  tff(1664,plain,
% 7.11/4.90      (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1665,plain,
% 7.11/4.90      ((~v101(constB51)) | (~v110(constB51))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1664, 1663])).
% 7.11/4.90  tff(1666,plain,
% 7.11/4.90      ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1667,plain,
% 7.11/4.90      (~v100(constB51)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1666, 1665, 1648])).
% 7.11/4.90  tff(1668,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1669,plain,
% 7.11/4.90      ((v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))) <=> (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1670,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))))),
% 7.11/4.90      inference(monotonicity,[status(thm)],[1669])).
% 7.11/4.90  tff(1671,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 7.11/4.90      inference(transitivity,[status(thm)],[1670, 1668])).
% 7.11/4.90  tff(1672,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1673,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1672, 1671])).
% 7.11/4.90  tff(1674,plain,
% 7.11/4.90      (v100(constB51) | (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1673, 1644, 644])).
% 7.11/4.90  tff(1675,plain,
% 7.11/4.90      (~(((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1674, 1667])).
% 7.11/4.90  tff(1676,plain,
% 7.11/4.90      ((((~v90(constB51, 1)) <=> v90(constB50, 1)) | ((~v90(constB51, 2)) <=> v90(constB50, 2)) | ((~v90(constB51, 0)) <=> v90(constB50, 0))) | (~((~v90(constB51, 2)) <=> v90(constB50, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1677,plain,
% 7.11/4.90      (~((~v90(constB51, 2)) <=> v90(constB50, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1676, 1675])).
% 7.11/4.90  tff(1678,plain,
% 7.11/4.90      (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1679,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 7.11/4.90  tff(1680,plain,
% 7.11/4.90      (nextState(constB49, constB50)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1679, 1678])).
% 7.11/4.90  tff(1681,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1682,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1683,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1682, 1681])).
% 7.11/4.90  tff(1684,plain,
% 7.11/4.90      (~(((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1683, 1680, 667])).
% 7.11/4.90  tff(1685,plain,
% 7.11/4.90      ((((~v129(constB50, 2)) <=> v127(constB49, 2)) | ((~v129(constB50, 1)) <=> v127(constB49, 1)) | ((~v129(constB50, 0)) <=> v127(constB49, 0))) | (~((~v129(constB50, 2)) <=> v127(constB49, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1686,plain,
% 7.11/4.90      (~((~v129(constB50, 2)) <=> v127(constB49, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1685, 1684])).
% 7.11/4.90  tff(1687,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1688,plain,
% 7.11/4.90      (v111(constB49) <=> v26(constB49)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1687, 686])).
% 7.11/4.90  tff(1689,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1690,plain,
% 7.11/4.90      (~v26(constB49)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1689, 698])).
% 7.11/4.90  tff(1691,plain,
% 7.11/4.90      ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1692,plain,
% 7.11/4.90      ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1691, 1690])).
% 7.11/4.90  tff(1693,plain,
% 7.11/4.90      (~v111(constB49)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1692, 1688])).
% 7.11/4.90  tff(1694,plain,
% 7.11/4.90      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1695,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1696,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1695, 1694])).
% 7.11/4.90  tff(1697,plain,
% 7.11/4.90      (v111(constB49) | (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1696, 716])).
% 7.11/4.90  tff(1698,plain,
% 7.11/4.90      (~(((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1697, 1693])).
% 7.11/4.90  tff(1699,plain,
% 7.11/4.90      ((((~v127(constB49, 2)) <=> v130(constB49, 2)) | ((~v127(constB49, 1)) <=> v130(constB49, 1)) | ((~v127(constB49, 0)) <=> v130(constB49, 0))) | (~((~v127(constB49, 2)) <=> v130(constB49, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1700,plain,
% 7.11/4.90      (~((~v127(constB49, 2)) <=> v130(constB49, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1699, 1698])).
% 7.11/4.90  tff(1701,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1702,plain,
% 7.11/4.90      (v119(constB49) <=> (~(v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1701, 889])).
% 7.11/4.90  tff(1703,plain,
% 7.11/4.90      (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1704,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 7.11/4.90  tff(1705,plain,
% 7.11/4.90      (nextState(constB48, constB49)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1704, 1703])).
% 7.11/4.90  tff(1706,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1707,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1708,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1707, 1706])).
% 7.11/4.90  tff(1709,plain,
% 7.11/4.90      (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1708, 1705, 595])).
% 7.11/4.90  tff(1710,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1711,plain,
% 7.11/4.90      (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1712,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))))),
% 7.11/4.90      inference(monotonicity,[status(thm)],[1711])).
% 7.11/4.90  tff(1713,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 7.11/4.90      inference(transitivity,[status(thm)],[1712, 1710])).
% 7.11/4.90  tff(1714,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1715,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1714, 1713])).
% 7.11/4.90  tff(1716,plain,
% 7.11/4.90      (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1715, 1705, 615])).
% 7.11/4.90  tff(1717,plain,
% 7.11/4.90      ((~v1(constB49)) <=> (~v1(constB49))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1718,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 7.11/4.90  tff(1719,plain,
% 7.11/4.90      (~v1(constB49)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1718, 1717])).
% 7.11/4.90  tff(1720,plain,
% 7.11/4.90      (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1721,plain,
% 7.11/4.90      ((~v1(constB49)) | (~v102(constB49))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1720, 1719])).
% 7.11/4.90  tff(1722,plain,
% 7.11/4.90      ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1723,plain,
% 7.11/4.90      ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1722, 1721])).
% 7.11/4.90  tff(1724,plain,
% 7.11/4.90      (~v101(constB49)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1723, 1716])).
% 7.11/4.90  tff(1725,plain,
% 7.11/4.90      (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1726,plain,
% 7.11/4.90      ((~v101(constB49)) | (~v110(constB49))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1725, 1724])).
% 7.11/4.90  tff(1727,plain,
% 7.11/4.90      ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1728,plain,
% 7.11/4.90      (~v100(constB49)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1727, 1726, 1709])).
% 7.11/4.90  tff(1729,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1730,plain,
% 7.11/4.90      ((v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))) <=> (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1731,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))))),
% 7.11/4.90      inference(monotonicity,[status(thm)],[1730])).
% 7.11/4.90  tff(1732,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 7.11/4.90      inference(transitivity,[status(thm)],[1731, 1729])).
% 7.11/4.90  tff(1733,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1734,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1733, 1732])).
% 7.11/4.90  tff(1735,plain,
% 7.11/4.90      (v100(constB49) | (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1734, 1705, 644])).
% 7.11/4.90  tff(1736,plain,
% 7.11/4.90      (~(((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1735, 1728])).
% 7.11/4.90  tff(1737,plain,
% 7.11/4.90      ((((~v90(constB49, 1)) <=> v90(constB48, 1)) | ((~v90(constB49, 2)) <=> v90(constB48, 2)) | ((~v90(constB49, 0)) <=> v90(constB48, 0))) | (~((~v90(constB49, 2)) <=> v90(constB48, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1738,plain,
% 7.11/4.90      (~((~v90(constB49, 2)) <=> v90(constB48, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1737, 1736])).
% 7.11/4.90  tff(1739,plain,
% 7.11/4.90      (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1740,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 7.11/4.90  tff(1741,plain,
% 7.11/4.90      (nextState(constB47, constB48)),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1740, 1739])).
% 7.11/4.90  tff(1742,plain,
% 7.11/4.90      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))),
% 7.11/4.90      inference(rewrite,[status(thm)],[])).
% 7.11/4.90  tff(1743,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1744,plain,
% 7.11/4.90      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))))),
% 7.11/4.90      inference(modus_ponens,[status(thm)],[1743, 1742])).
% 7.11/4.90  tff(1745,plain,
% 7.11/4.90      (~(((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0)))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1744, 1741, 667])).
% 7.11/4.90  tff(1746,plain,
% 7.11/4.90      ((((~v129(constB48, 2)) <=> v127(constB47, 2)) | ((~v129(constB48, 1)) <=> v127(constB47, 1)) | ((~v129(constB48, 0)) <=> v127(constB47, 0))) | (~((~v129(constB48, 2)) <=> v127(constB47, 2)))),
% 7.11/4.90      inference(tautology,[status(thm)],[])).
% 7.11/4.90  tff(1747,plain,
% 7.11/4.90      (~((~v129(constB48, 2)) <=> v127(constB47, 2))),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1746, 1745])).
% 7.11/4.90  tff(1748,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.90  tff(1749,plain,
% 7.11/4.90      (v111(constB47) <=> v26(constB47)),
% 7.11/4.90      inference(unit_resolution,[status(thm)],[1748, 686])).
% 7.11/4.90  tff(1750,plain,
% 7.11/4.90      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 7.11/4.90      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1751,plain,
% 7.11/4.91      (~v26(constB47)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1750, 698])).
% 7.11/4.91  tff(1752,plain,
% 7.11/4.91      ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1753,plain,
% 7.11/4.91      ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1752, 1751])).
% 7.11/4.91  tff(1754,plain,
% 7.11/4.91      (~v111(constB47)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1753, 1749])).
% 7.11/4.91  tff(1755,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1756,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1757,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1756, 1755])).
% 7.11/4.91  tff(1758,plain,
% 7.11/4.91      (v111(constB47) | (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1757, 716])).
% 7.11/4.91  tff(1759,plain,
% 7.11/4.91      (~(((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0)))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1758, 1754])).
% 7.11/4.91  tff(1760,plain,
% 7.11/4.91      ((((~v127(constB47, 2)) <=> v130(constB47, 2)) | ((~v127(constB47, 1)) <=> v130(constB47, 1)) | ((~v127(constB47, 0)) <=> v130(constB47, 0))) | (~((~v127(constB47, 2)) <=> v130(constB47, 2)))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1761,plain,
% 7.11/4.91      (~((~v127(constB47, 2)) <=> v130(constB47, 2))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1760, 1759])).
% 7.11/4.91  tff(1762,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1763,plain,
% 7.11/4.91      ((v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 0)) | (~v90(constB47, 2))))) <=> (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1764,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 0)) | (~v90(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1763])).
% 7.11/4.91  tff(1765,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 0)) | (~v90(constB47, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0))))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1764, 1762])).
% 7.11/4.91  tff(1766,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 0)) | (~v90(constB47, 2)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1767,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1766, 1765])).
% 7.11/4.91  tff(1768,plain,
% 7.11/4.91      (v124(constB47) <=> (~(v90(constB47, 1) | (~v90(constB47, 2)) | (~v90(constB47, 0))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1767, 963])).
% 7.11/4.91  tff(1769,plain,
% 7.11/4.91      (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1770,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46')).
% 7.11/4.91  tff(1771,plain,
% 7.11/4.91      (nextState(constB46, constB47)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1770, 1769])).
% 7.11/4.91  tff(1772,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1773,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1774,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1773, 1772])).
% 7.11/4.91  tff(1775,plain,
% 7.11/4.91      (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1774, 1771, 595])).
% 7.11/4.91  tff(1776,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1777,plain,
% 7.11/4.91      (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1778,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1777])).
% 7.11/4.91  tff(1779,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1778, 1776])).
% 7.11/4.91  tff(1780,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1781,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1780, 1779])).
% 7.11/4.91  tff(1782,plain,
% 7.11/4.91      (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1781, 1771, 615])).
% 7.11/4.91  tff(1783,plain,
% 7.11/4.91      ((~v1(constB47)) <=> (~v1(constB47))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1784,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 7.11/4.91  tff(1785,plain,
% 7.11/4.91      (~v1(constB47)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1784, 1783])).
% 7.11/4.91  tff(1786,plain,
% 7.11/4.91      (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1787,plain,
% 7.11/4.91      ((~v1(constB47)) | (~v102(constB47))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1786, 1785])).
% 7.11/4.91  tff(1788,plain,
% 7.11/4.91      ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1789,plain,
% 7.11/4.91      ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1788, 1787])).
% 7.11/4.91  tff(1790,plain,
% 7.11/4.91      (~v101(constB47)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1789, 1782])).
% 7.11/4.91  tff(1791,plain,
% 7.11/4.91      (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1792,plain,
% 7.11/4.91      ((~v101(constB47)) | (~v110(constB47))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1791, 1790])).
% 7.11/4.91  tff(1793,plain,
% 7.11/4.91      ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1794,plain,
% 7.11/4.91      (~v100(constB47)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1793, 1792, 1775])).
% 7.11/4.91  tff(1795,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1796,plain,
% 7.11/4.91      ((v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))) <=> (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1797,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1796])).
% 7.11/4.91  tff(1798,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1797, 1795])).
% 7.11/4.91  tff(1799,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1800,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1799, 1798])).
% 7.11/4.91  tff(1801,plain,
% 7.11/4.91      (v100(constB47) | (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1800, 1771, 644])).
% 7.11/4.91  tff(1802,plain,
% 7.11/4.91      (~(((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0)))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1801, 1794])).
% 7.11/4.91  tff(1803,plain,
% 7.11/4.91      ((((~v90(constB47, 1)) <=> v90(constB46, 1)) | ((~v90(constB47, 2)) <=> v90(constB46, 2)) | ((~v90(constB47, 0)) <=> v90(constB46, 0))) | (~((~v90(constB47, 2)) <=> v90(constB46, 2)))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1804,plain,
% 7.11/4.91      (~((~v90(constB47, 2)) <=> v90(constB46, 2))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1803, 1802])).
% 7.11/4.91  tff(1805,plain,
% 7.11/4.91      (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1806,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45')).
% 7.11/4.91  tff(1807,plain,
% 7.11/4.91      (nextState(constB45, constB46)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1806, 1805])).
% 7.11/4.91  tff(1808,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1809,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1810,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1809, 1808])).
% 7.11/4.91  tff(1811,plain,
% 7.11/4.91      (~(((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0)))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1810, 1807, 667])).
% 7.11/4.91  tff(1812,plain,
% 7.11/4.91      ((((~v129(constB46, 2)) <=> v127(constB45, 2)) | ((~v129(constB46, 1)) <=> v127(constB45, 1)) | ((~v129(constB46, 0)) <=> v127(constB45, 0))) | (~((~v129(constB46, 2)) <=> v127(constB45, 2)))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1813,plain,
% 7.11/4.91      (~((~v129(constB46, 2)) <=> v127(constB45, 2))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1812, 1811])).
% 7.11/4.91  tff(1814,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1815,plain,
% 7.11/4.91      (v111(constB45) <=> v26(constB45)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1814, 686])).
% 7.11/4.91  tff(1816,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1817,plain,
% 7.11/4.91      (~v26(constB45)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1816, 698])).
% 7.11/4.91  tff(1818,plain,
% 7.11/4.91      ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1819,plain,
% 7.11/4.91      ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1818, 1817])).
% 7.11/4.91  tff(1820,plain,
% 7.11/4.91      (~v111(constB45)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1819, 1815])).
% 7.11/4.91  tff(1821,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1822,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1823,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1822, 1821])).
% 7.11/4.91  tff(1824,plain,
% 7.11/4.91      (v111(constB45) | (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1823, 716])).
% 7.11/4.91  tff(1825,plain,
% 7.11/4.91      (~(((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0)))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1824, 1820])).
% 7.11/4.91  tff(1826,plain,
% 7.11/4.91      ((((~v127(constB45, 2)) <=> v130(constB45, 2)) | ((~v127(constB45, 1)) <=> v130(constB45, 1)) | ((~v127(constB45, 0)) <=> v130(constB45, 0))) | (~((~v127(constB45, 2)) <=> v130(constB45, 2)))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1827,plain,
% 7.11/4.91      (~((~v127(constB45, 2)) <=> v130(constB45, 2))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1826, 1825])).
% 7.11/4.91  tff(1828,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1829,plain,
% 7.11/4.91      ((v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2))))) <=> (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1830,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1829])).
% 7.11/4.91  tff(1831,plain,
% 7.11/4.91      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1830, 1828])).
% 7.11/4.91  tff(1832,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1833,plain,
% 7.11/4.91      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1832, 1831])).
% 7.11/4.91  tff(1834,plain,
% 7.11/4.91      (v123(constB45) <=> (~(v90(constB45, 1) | v90(constB45, 0) | (~v90(constB45, 2))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1833, 1042])).
% 7.11/4.91  tff(1835,plain,
% 7.11/4.91      (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1836,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44')).
% 7.11/4.91  tff(1837,plain,
% 7.11/4.91      (nextState(constB44, constB45)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1836, 1835])).
% 7.11/4.91  tff(1838,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1839,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1840,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1839, 1838])).
% 7.11/4.91  tff(1841,plain,
% 7.11/4.91      (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1840, 1837, 595])).
% 7.11/4.91  tff(1842,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1843,plain,
% 7.11/4.91      (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1844,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1843])).
% 7.11/4.91  tff(1845,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1844, 1842])).
% 7.11/4.91  tff(1846,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1847,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1846, 1845])).
% 7.11/4.91  tff(1848,plain,
% 7.11/4.91      (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1847, 1837, 615])).
% 7.11/4.91  tff(1849,plain,
% 7.11/4.91      ((~v1(constB45)) <=> (~v1(constB45))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1850,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45')).
% 7.11/4.91  tff(1851,plain,
% 7.11/4.91      (~v1(constB45)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1850, 1849])).
% 7.11/4.91  tff(1852,plain,
% 7.11/4.91      (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1853,plain,
% 7.11/4.91      ((~v1(constB45)) | (~v102(constB45))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1852, 1851])).
% 7.11/4.91  tff(1854,plain,
% 7.11/4.91      ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1855,plain,
% 7.11/4.91      ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1854, 1853])).
% 7.11/4.91  tff(1856,plain,
% 7.11/4.91      (~v101(constB45)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1855, 1848])).
% 7.11/4.91  tff(1857,plain,
% 7.11/4.91      (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1858,plain,
% 7.11/4.91      ((~v101(constB45)) | (~v110(constB45))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1857, 1856])).
% 7.11/4.91  tff(1859,plain,
% 7.11/4.91      ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1860,plain,
% 7.11/4.91      (~v100(constB45)),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1859, 1858, 1841])).
% 7.11/4.91  tff(1861,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1862,plain,
% 7.11/4.91      ((v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))) <=> (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1863,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))))),
% 7.11/4.91      inference(monotonicity,[status(thm)],[1862])).
% 7.11/4.91  tff(1864,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 7.11/4.91      inference(transitivity,[status(thm)],[1863, 1861])).
% 7.11/4.91  tff(1865,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))))),
% 7.11/4.91      inference(quant_inst,[status(thm)],[])).
% 7.11/4.91  tff(1866,plain,
% 7.11/4.91      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1865, 1864])).
% 7.11/4.91  tff(1867,plain,
% 7.11/4.91      (v100(constB45) | (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1866, 1837, 644])).
% 7.11/4.91  tff(1868,plain,
% 7.11/4.91      (~(((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0)))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1867, 1860])).
% 7.11/4.91  tff(1869,plain,
% 7.11/4.91      ((((~v90(constB45, 1)) <=> v90(constB44, 1)) | ((~v90(constB45, 2)) <=> v90(constB44, 2)) | ((~v90(constB45, 0)) <=> v90(constB44, 0))) | (~((~v90(constB45, 2)) <=> v90(constB44, 2)))),
% 7.11/4.91      inference(tautology,[status(thm)],[])).
% 7.11/4.91  tff(1870,plain,
% 7.11/4.91      (~((~v90(constB45, 2)) <=> v90(constB44, 2))),
% 7.11/4.91      inference(unit_resolution,[status(thm)],[1869, 1868])).
% 7.11/4.91  tff(1871,plain,
% 7.11/4.91      (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 7.11/4.91      inference(rewrite,[status(thm)],[])).
% 7.11/4.91  tff(1872,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43')).
% 7.11/4.91  tff(1873,plain,
% 7.11/4.91      (nextState(constB43, constB44)),
% 7.11/4.91      inference(modus_ponens,[status(thm)],[1872, 1871])).
% 7.11/4.91  tff(1874,plain,
% 7.11/4.91      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1875,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1876,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1875, 1874])).
% 7.11/4.92  tff(1877,plain,
% 7.11/4.92      (~(((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0)))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1876, 1873, 667])).
% 7.11/4.92  tff(1878,plain,
% 7.11/4.92      ((((~v129(constB44, 2)) <=> v127(constB43, 2)) | ((~v129(constB44, 1)) <=> v127(constB43, 1)) | ((~v129(constB44, 0)) <=> v127(constB43, 0))) | (~((~v129(constB44, 2)) <=> v127(constB43, 2)))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1879,plain,
% 7.11/4.92      (~((~v129(constB44, 2)) <=> v127(constB43, 2))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1878, 1877])).
% 7.11/4.92  tff(1880,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1881,plain,
% 7.11/4.92      (v111(constB43) <=> v26(constB43)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1880, 686])).
% 7.11/4.92  tff(1882,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1883,plain,
% 7.11/4.92      (~v26(constB43)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1882, 698])).
% 7.11/4.92  tff(1884,plain,
% 7.11/4.92      ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1885,plain,
% 7.11/4.92      ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1884, 1883])).
% 7.11/4.92  tff(1886,plain,
% 7.11/4.92      (~v111(constB43)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1885, 1881])).
% 7.11/4.92  tff(1887,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1888,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1889,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1888, 1887])).
% 7.11/4.92  tff(1890,plain,
% 7.11/4.92      (v111(constB43) | (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1889, 716])).
% 7.11/4.92  tff(1891,plain,
% 7.11/4.92      (~(((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0)))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1890, 1886])).
% 7.11/4.92  tff(1892,plain,
% 7.11/4.92      ((((~v127(constB43, 2)) <=> v130(constB43, 2)) | ((~v127(constB43, 1)) <=> v130(constB43, 1)) | ((~v127(constB43, 0)) <=> v130(constB43, 0))) | (~((~v127(constB43, 2)) <=> v130(constB43, 2)))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1893,plain,
% 7.11/4.92      (~((~v127(constB43, 2)) <=> v130(constB43, 2))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1892, 1891])).
% 7.11/4.92  tff(1894,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1895,plain,
% 7.11/4.92      ((v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 0)) | (~v90(constB43, 1))))) <=> (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1896,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 0)) | (~v90(constB43, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1895])).
% 7.11/4.92  tff(1897,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 0)) | (~v90(constB43, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0))))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1896, 1894])).
% 7.11/4.92  tff(1898,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 0)) | (~v90(constB43, 1)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1899,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1898, 1897])).
% 7.11/4.92  tff(1900,plain,
% 7.11/4.92      (v122(constB43) <=> (~(v90(constB43, 2) | (~v90(constB43, 1)) | (~v90(constB43, 0))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1899, 1121])).
% 7.11/4.92  tff(1901,plain,
% 7.11/4.92      (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1902,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42')).
% 7.11/4.92  tff(1903,plain,
% 7.11/4.92      (nextState(constB42, constB43)),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1902, 1901])).
% 7.11/4.92  tff(1904,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1905,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1906,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1905, 1904])).
% 7.11/4.92  tff(1907,plain,
% 7.11/4.92      (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1906, 1903, 595])).
% 7.11/4.92  tff(1908,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1909,plain,
% 7.11/4.92      (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1910,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1909])).
% 7.11/4.92  tff(1911,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1910, 1908])).
% 7.11/4.92  tff(1912,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1913,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1912, 1911])).
% 7.11/4.92  tff(1914,plain,
% 7.11/4.92      (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1913, 1903, 615])).
% 7.11/4.92  tff(1915,plain,
% 7.11/4.92      ((~v1(constB43)) <=> (~v1(constB43))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1916,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43')).
% 7.11/4.92  tff(1917,plain,
% 7.11/4.92      (~v1(constB43)),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1916, 1915])).
% 7.11/4.92  tff(1918,plain,
% 7.11/4.92      (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1919,plain,
% 7.11/4.92      ((~v1(constB43)) | (~v102(constB43))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1918, 1917])).
% 7.11/4.92  tff(1920,plain,
% 7.11/4.92      ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1921,plain,
% 7.11/4.92      ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1920, 1919])).
% 7.11/4.92  tff(1922,plain,
% 7.11/4.92      (~v101(constB43)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1921, 1914])).
% 7.11/4.92  tff(1923,plain,
% 7.11/4.92      (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1924,plain,
% 7.11/4.92      ((~v101(constB43)) | (~v110(constB43))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1923, 1922])).
% 7.11/4.92  tff(1925,plain,
% 7.11/4.92      ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1926,plain,
% 7.11/4.92      (~v100(constB43)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1925, 1924, 1907])).
% 7.11/4.92  tff(1927,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1928,plain,
% 7.11/4.92      ((v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))) <=> (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1929,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1928])).
% 7.11/4.92  tff(1930,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1929, 1927])).
% 7.11/4.92  tff(1931,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1932,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1931, 1930])).
% 7.11/4.92  tff(1933,plain,
% 7.11/4.92      (v100(constB43) | (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1932, 1903, 644])).
% 7.11/4.92  tff(1934,plain,
% 7.11/4.92      (~(((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0)))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1933, 1926])).
% 7.11/4.92  tff(1935,plain,
% 7.11/4.92      ((((~v90(constB43, 1)) <=> v90(constB42, 1)) | ((~v90(constB43, 2)) <=> v90(constB42, 2)) | ((~v90(constB43, 0)) <=> v90(constB42, 0))) | (~((~v90(constB43, 2)) <=> v90(constB42, 2)))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1936,plain,
% 7.11/4.92      (~((~v90(constB43, 2)) <=> v90(constB42, 2))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1935, 1934])).
% 7.11/4.92  tff(1937,plain,
% 7.11/4.92      (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1938,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41')).
% 7.11/4.92  tff(1939,plain,
% 7.11/4.92      (nextState(constB41, constB42)),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1938, 1937])).
% 7.11/4.92  tff(1940,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1941,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1942,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1941, 1940])).
% 7.11/4.92  tff(1943,plain,
% 7.11/4.92      (~(((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0)))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1942, 1939, 667])).
% 7.11/4.92  tff(1944,plain,
% 7.11/4.92      ((((~v129(constB42, 2)) <=> v127(constB41, 2)) | ((~v129(constB42, 1)) <=> v127(constB41, 1)) | ((~v129(constB42, 0)) <=> v127(constB41, 0))) | (~((~v129(constB42, 2)) <=> v127(constB41, 2)))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1945,plain,
% 7.11/4.92      (~((~v129(constB42, 2)) <=> v127(constB41, 2))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1944, 1943])).
% 7.11/4.92  tff(1946,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1947,plain,
% 7.11/4.92      (v111(constB41) <=> v26(constB41)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1946, 686])).
% 7.11/4.92  tff(1948,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1949,plain,
% 7.11/4.92      (~v26(constB41)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1948, 698])).
% 7.11/4.92  tff(1950,plain,
% 7.11/4.92      ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1951,plain,
% 7.11/4.92      ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1950, 1949])).
% 7.11/4.92  tff(1952,plain,
% 7.11/4.92      (~v111(constB41)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1951, 1947])).
% 7.11/4.92  tff(1953,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1954,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1955,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1954, 1953])).
% 7.11/4.92  tff(1956,plain,
% 7.11/4.92      (v111(constB41) | (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1955, 716])).
% 7.11/4.92  tff(1957,plain,
% 7.11/4.92      (~(((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0)))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1956, 1952])).
% 7.11/4.92  tff(1958,plain,
% 7.11/4.92      ((((~v127(constB41, 2)) <=> v130(constB41, 2)) | ((~v127(constB41, 1)) <=> v130(constB41, 1)) | ((~v127(constB41, 0)) <=> v130(constB41, 0))) | (~((~v127(constB41, 2)) <=> v130(constB41, 2)))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1959,plain,
% 7.11/4.92      (~((~v127(constB41, 2)) <=> v130(constB41, 2))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1958, 1957])).
% 7.11/4.92  tff(1960,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1961,plain,
% 7.11/4.92      ((v121(constB41) <=> (~(v90(constB41, 0) | v90(constB41, 2) | (~v90(constB41, 1))))) <=> (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1962,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 0) | v90(constB41, 2) | (~v90(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1961])).
% 7.11/4.92  tff(1963,plain,
% 7.11/4.92      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 0) | v90(constB41, 2) | (~v90(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1))))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1962, 1960])).
% 7.11/4.92  tff(1964,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 0) | v90(constB41, 2) | (~v90(constB41, 1)))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1965,plain,
% 7.11/4.92      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1964, 1963])).
% 7.11/4.92  tff(1966,plain,
% 7.11/4.92      (v121(constB41) <=> (~(v90(constB41, 2) | v90(constB41, 0) | (~v90(constB41, 1))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1965, 736])).
% 7.11/4.92  tff(1967,plain,
% 7.11/4.92      (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1968,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40')).
% 7.11/4.92  tff(1969,plain,
% 7.11/4.92      (nextState(constB40, constB41)),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1968, 1967])).
% 7.11/4.92  tff(1970,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1971,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1972,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1971, 1970])).
% 7.11/4.92  tff(1973,plain,
% 7.11/4.92      (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1972, 1969, 595])).
% 7.11/4.92  tff(1974,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1975,plain,
% 7.11/4.92      (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1976,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1975])).
% 7.11/4.92  tff(1977,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1976, 1974])).
% 7.11/4.92  tff(1978,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 7.11/4.92      inference(quant_inst,[status(thm)],[])).
% 7.11/4.92  tff(1979,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1978, 1977])).
% 7.11/4.92  tff(1980,plain,
% 7.11/4.92      (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1979, 1969, 615])).
% 7.11/4.92  tff(1981,plain,
% 7.11/4.92      ((~v1(constB41)) <=> (~v1(constB41))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1982,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41')).
% 7.11/4.92  tff(1983,plain,
% 7.11/4.92      (~v1(constB41)),
% 7.11/4.92      inference(modus_ponens,[status(thm)],[1982, 1981])).
% 7.11/4.92  tff(1984,plain,
% 7.11/4.92      (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1985,plain,
% 7.11/4.92      ((~v1(constB41)) | (~v102(constB41))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1984, 1983])).
% 7.11/4.92  tff(1986,plain,
% 7.11/4.92      ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1987,plain,
% 7.11/4.92      ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1986, 1985])).
% 7.11/4.92  tff(1988,plain,
% 7.11/4.92      (~v101(constB41)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1987, 1980])).
% 7.11/4.92  tff(1989,plain,
% 7.11/4.92      (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1990,plain,
% 7.11/4.92      ((~v101(constB41)) | (~v110(constB41))),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1989, 1988])).
% 7.11/4.92  tff(1991,plain,
% 7.11/4.92      ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 7.11/4.92      inference(tautology,[status(thm)],[])).
% 7.11/4.92  tff(1992,plain,
% 7.11/4.92      (~v100(constB41)),
% 7.11/4.92      inference(unit_resolution,[status(thm)],[1991, 1990, 1973])).
% 7.11/4.92  tff(1993,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1994,plain,
% 7.11/4.92      ((v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))) <=> (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 7.11/4.92      inference(rewrite,[status(thm)],[])).
% 7.11/4.92  tff(1995,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))))),
% 7.11/4.92      inference(monotonicity,[status(thm)],[1994])).
% 7.11/4.92  tff(1996,plain,
% 7.11/4.92      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 7.11/4.92      inference(transitivity,[status(thm)],[1995, 1993])).
% 7.11/4.92  tff(1997,plain,
% 7.11/4.92      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(1998,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[1997, 1996])).
% 7.11/4.93  tff(1999,plain,
% 7.11/4.93      (v100(constB41) | (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[1998, 1969, 644])).
% 7.11/4.93  tff(2000,plain,
% 7.11/4.93      (~(((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[1999, 1992])).
% 7.11/4.93  tff(2001,plain,
% 7.11/4.93      ((((~v90(constB41, 1)) <=> v90(constB40, 1)) | ((~v90(constB41, 2)) <=> v90(constB40, 2)) | ((~v90(constB41, 0)) <=> v90(constB40, 0))) | (~((~v90(constB41, 2)) <=> v90(constB40, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2002,plain,
% 7.11/4.93      (~((~v90(constB41, 2)) <=> v90(constB40, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2001, 2000])).
% 7.11/4.93  tff(2003,plain,
% 7.11/4.93      (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2004,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 7.11/4.93  tff(2005,plain,
% 7.11/4.93      (nextState(constB39, constB40)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2004, 2003])).
% 7.11/4.93  tff(2006,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2007,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2008,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2007, 2006])).
% 7.11/4.93  tff(2009,plain,
% 7.11/4.93      (~(((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2008, 2005, 667])).
% 7.11/4.93  tff(2010,plain,
% 7.11/4.93      ((((~v129(constB40, 2)) <=> v127(constB39, 2)) | ((~v129(constB40, 1)) <=> v127(constB39, 1)) | ((~v129(constB40, 0)) <=> v127(constB39, 0))) | (~((~v129(constB40, 2)) <=> v127(constB39, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2011,plain,
% 7.11/4.93      (~((~v129(constB40, 2)) <=> v127(constB39, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2010, 2009])).
% 7.11/4.93  tff(2012,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2013,plain,
% 7.11/4.93      (v111(constB39) <=> v26(constB39)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2012, 686])).
% 7.11/4.93  tff(2014,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2015,plain,
% 7.11/4.93      (~v26(constB39)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2014, 698])).
% 7.11/4.93  tff(2016,plain,
% 7.11/4.93      ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2017,plain,
% 7.11/4.93      ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2016, 2015])).
% 7.11/4.93  tff(2018,plain,
% 7.11/4.93      (~v111(constB39)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2017, 2013])).
% 7.11/4.93  tff(2019,plain,
% 7.11/4.93      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2020,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2021,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2020, 2019])).
% 7.11/4.93  tff(2022,plain,
% 7.11/4.93      (v111(constB39) | (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2021, 716])).
% 7.11/4.93  tff(2023,plain,
% 7.11/4.93      (~(((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2022, 2018])).
% 7.11/4.93  tff(2024,plain,
% 7.11/4.93      ((((~v127(constB39, 2)) <=> v130(constB39, 2)) | ((~v127(constB39, 1)) <=> v130(constB39, 1)) | ((~v127(constB39, 0)) <=> v130(constB39, 0))) | (~((~v127(constB39, 2)) <=> v130(constB39, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2025,plain,
% 7.11/4.93      (~((~v127(constB39, 2)) <=> v130(constB39, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2024, 2023])).
% 7.11/4.93  tff(2026,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB39) <=> (~(v90(constB39, 1) | v90(constB39, 2) | (~v90(constB39, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2027,plain,
% 7.11/4.93      (v120(constB39) <=> (~(v90(constB39, 1) | v90(constB39, 2) | (~v90(constB39, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2026, 815])).
% 7.11/4.93  tff(2028,plain,
% 7.11/4.93      (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2029,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 7.11/4.93  tff(2030,plain,
% 7.11/4.93      (nextState(constB38, constB39)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2029, 2028])).
% 7.11/4.93  tff(2031,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2032,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2033,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2032, 2031])).
% 7.11/4.93  tff(2034,plain,
% 7.11/4.93      (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2033, 2030, 595])).
% 7.11/4.93  tff(2035,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2036,plain,
% 7.11/4.93      (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2037,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))))),
% 7.11/4.93      inference(monotonicity,[status(thm)],[2036])).
% 7.11/4.93  tff(2038,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 7.11/4.93      inference(transitivity,[status(thm)],[2037, 2035])).
% 7.11/4.93  tff(2039,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2040,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2039, 2038])).
% 7.11/4.93  tff(2041,plain,
% 7.11/4.93      (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2040, 2030, 615])).
% 7.11/4.93  tff(2042,plain,
% 7.11/4.93      ((~v1(constB39)) <=> (~v1(constB39))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2043,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 7.11/4.93  tff(2044,plain,
% 7.11/4.93      (~v1(constB39)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2043, 2042])).
% 7.11/4.93  tff(2045,plain,
% 7.11/4.93      (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2046,plain,
% 7.11/4.93      ((~v1(constB39)) | (~v102(constB39))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2045, 2044])).
% 7.11/4.93  tff(2047,plain,
% 7.11/4.93      ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2048,plain,
% 7.11/4.93      ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2047, 2046])).
% 7.11/4.93  tff(2049,plain,
% 7.11/4.93      (~v101(constB39)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2048, 2041])).
% 7.11/4.93  tff(2050,plain,
% 7.11/4.93      (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2051,plain,
% 7.11/4.93      ((~v101(constB39)) | (~v110(constB39))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2050, 2049])).
% 7.11/4.93  tff(2052,plain,
% 7.11/4.93      ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2053,plain,
% 7.11/4.93      (~v100(constB39)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2052, 2051, 2034])).
% 7.11/4.93  tff(2054,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2055,plain,
% 7.11/4.93      ((v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))) <=> (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2056,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))))),
% 7.11/4.93      inference(monotonicity,[status(thm)],[2055])).
% 7.11/4.93  tff(2057,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 7.11/4.93      inference(transitivity,[status(thm)],[2056, 2054])).
% 7.11/4.93  tff(2058,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2059,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2058, 2057])).
% 7.11/4.93  tff(2060,plain,
% 7.11/4.93      (v100(constB39) | (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2059, 2030, 644])).
% 7.11/4.93  tff(2061,plain,
% 7.11/4.93      (~(((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2060, 2053])).
% 7.11/4.93  tff(2062,plain,
% 7.11/4.93      ((((~v90(constB39, 1)) <=> v90(constB38, 1)) | ((~v90(constB39, 2)) <=> v90(constB38, 2)) | ((~v90(constB39, 0)) <=> v90(constB38, 0))) | (~((~v90(constB39, 2)) <=> v90(constB38, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2063,plain,
% 7.11/4.93      (~((~v90(constB39, 2)) <=> v90(constB38, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2062, 2061])).
% 7.11/4.93  tff(2064,plain,
% 7.11/4.93      (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2065,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 7.11/4.93  tff(2066,plain,
% 7.11/4.93      (nextState(constB37, constB38)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2065, 2064])).
% 7.11/4.93  tff(2067,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2068,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2069,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2068, 2067])).
% 7.11/4.93  tff(2070,plain,
% 7.11/4.93      (~(((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2069, 2066, 667])).
% 7.11/4.93  tff(2071,plain,
% 7.11/4.93      ((((~v129(constB38, 2)) <=> v127(constB37, 2)) | ((~v129(constB38, 1)) <=> v127(constB37, 1)) | ((~v129(constB38, 0)) <=> v127(constB37, 0))) | (~((~v129(constB38, 2)) <=> v127(constB37, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2072,plain,
% 7.11/4.93      (~((~v129(constB38, 2)) <=> v127(constB37, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2071, 2070])).
% 7.11/4.93  tff(2073,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2074,plain,
% 7.11/4.93      (v111(constB37) <=> v26(constB37)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2073, 686])).
% 7.11/4.93  tff(2075,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2076,plain,
% 7.11/4.93      (~v26(constB37)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2075, 698])).
% 7.11/4.93  tff(2077,plain,
% 7.11/4.93      ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2078,plain,
% 7.11/4.93      ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2077, 2076])).
% 7.11/4.93  tff(2079,plain,
% 7.11/4.93      (~v111(constB37)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2078, 2074])).
% 7.11/4.93  tff(2080,plain,
% 7.11/4.93      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2081,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2082,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2081, 2080])).
% 7.11/4.93  tff(2083,plain,
% 7.11/4.93      (v111(constB37) | (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2082, 716])).
% 7.11/4.93  tff(2084,plain,
% 7.11/4.93      (~(((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2083, 2079])).
% 7.11/4.93  tff(2085,plain,
% 7.11/4.93      ((((~v127(constB37, 2)) <=> v130(constB37, 2)) | ((~v127(constB37, 1)) <=> v130(constB37, 1)) | ((~v127(constB37, 0)) <=> v130(constB37, 0))) | (~((~v127(constB37, 2)) <=> v130(constB37, 2)))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2086,plain,
% 7.11/4.93      (~((~v127(constB37, 2)) <=> v130(constB37, 2))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2085, 2084])).
% 7.11/4.93  tff(2087,plain,
% 7.11/4.93      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB37) <=> (~(v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2088,plain,
% 7.11/4.93      (v119(constB37) <=> (~(v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2087, 889])).
% 7.11/4.93  tff(2089,plain,
% 7.11/4.93      (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2090,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 7.11/4.93  tff(2091,plain,
% 7.11/4.93      (nextState(constB36, constB37)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2090, 2089])).
% 7.11/4.93  tff(2092,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2093,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2094,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2093, 2092])).
% 7.11/4.93  tff(2095,plain,
% 7.11/4.93      (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2094, 2091, 595])).
% 7.11/4.93  tff(2096,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2097,plain,
% 7.11/4.93      (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2098,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))))),
% 7.11/4.93      inference(monotonicity,[status(thm)],[2097])).
% 7.11/4.93  tff(2099,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 7.11/4.93      inference(transitivity,[status(thm)],[2098, 2096])).
% 7.11/4.93  tff(2100,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2101,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2100, 2099])).
% 7.11/4.93  tff(2102,plain,
% 7.11/4.93      (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2101, 2091, 615])).
% 7.11/4.93  tff(2103,plain,
% 7.11/4.93      ((~v1(constB37)) <=> (~v1(constB37))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2104,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 7.11/4.93  tff(2105,plain,
% 7.11/4.93      (~v1(constB37)),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2104, 2103])).
% 7.11/4.93  tff(2106,plain,
% 7.11/4.93      (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2107,plain,
% 7.11/4.93      ((~v1(constB37)) | (~v102(constB37))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2106, 2105])).
% 7.11/4.93  tff(2108,plain,
% 7.11/4.93      ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2109,plain,
% 7.11/4.93      ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2108, 2107])).
% 7.11/4.93  tff(2110,plain,
% 7.11/4.93      (~v101(constB37)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2109, 2102])).
% 7.11/4.93  tff(2111,plain,
% 7.11/4.93      (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2112,plain,
% 7.11/4.93      ((~v101(constB37)) | (~v110(constB37))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2111, 2110])).
% 7.11/4.93  tff(2113,plain,
% 7.11/4.93      ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 7.11/4.93      inference(tautology,[status(thm)],[])).
% 7.11/4.93  tff(2114,plain,
% 7.11/4.93      (~v100(constB37)),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2113, 2112, 2095])).
% 7.11/4.93  tff(2115,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2116,plain,
% 7.11/4.93      ((v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))) <=> (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 7.11/4.93      inference(rewrite,[status(thm)],[])).
% 7.11/4.93  tff(2117,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))))),
% 7.11/4.93      inference(monotonicity,[status(thm)],[2116])).
% 7.11/4.93  tff(2118,plain,
% 7.11/4.93      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 7.11/4.93      inference(transitivity,[status(thm)],[2117, 2115])).
% 7.11/4.93  tff(2119,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))))),
% 7.11/4.93      inference(quant_inst,[status(thm)],[])).
% 7.11/4.93  tff(2120,plain,
% 7.11/4.93      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))),
% 7.11/4.93      inference(modus_ponens,[status(thm)],[2119, 2118])).
% 7.11/4.93  tff(2121,plain,
% 7.11/4.93      (v100(constB37) | (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2120, 2091, 644])).
% 7.11/4.93  tff(2122,plain,
% 7.11/4.93      (~(((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0)))),
% 7.11/4.93      inference(unit_resolution,[status(thm)],[2121, 2114])).
% 7.11/4.93  tff(2123,plain,
% 7.11/4.93      ((((~v90(constB37, 1)) <=> v90(constB36, 1)) | ((~v90(constB37, 2)) <=> v90(constB36, 2)) | ((~v90(constB37, 0)) <=> v90(constB36, 0))) | (~((~v90(constB37, 2)) <=> v90(constB36, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2124,plain,
% 7.19/4.94      (~((~v90(constB37, 2)) <=> v90(constB36, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2123, 2122])).
% 7.19/4.94  tff(2125,plain,
% 7.19/4.94      (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2126,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 7.19/4.94  tff(2127,plain,
% 7.19/4.94      (nextState(constB35, constB36)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2126, 2125])).
% 7.19/4.94  tff(2128,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2129,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2130,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2129, 2128])).
% 7.19/4.94  tff(2131,plain,
% 7.19/4.94      (~(((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0)))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2130, 2127, 667])).
% 7.19/4.94  tff(2132,plain,
% 7.19/4.94      ((((~v129(constB36, 2)) <=> v127(constB35, 2)) | ((~v129(constB36, 1)) <=> v127(constB35, 1)) | ((~v129(constB36, 0)) <=> v127(constB35, 0))) | (~((~v129(constB36, 2)) <=> v127(constB35, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2133,plain,
% 7.19/4.94      (~((~v129(constB36, 2)) <=> v127(constB35, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2132, 2131])).
% 7.19/4.94  tff(2134,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2135,plain,
% 7.19/4.94      (v111(constB35) <=> v26(constB35)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2134, 686])).
% 7.19/4.94  tff(2136,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2137,plain,
% 7.19/4.94      (~v26(constB35)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2136, 698])).
% 7.19/4.94  tff(2138,plain,
% 7.19/4.94      ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2139,plain,
% 7.19/4.94      ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2138, 2137])).
% 7.19/4.94  tff(2140,plain,
% 7.19/4.94      (~v111(constB35)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2139, 2135])).
% 7.19/4.94  tff(2141,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2142,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2143,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2142, 2141])).
% 7.19/4.94  tff(2144,plain,
% 7.19/4.94      (v111(constB35) | (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2143, 716])).
% 7.19/4.94  tff(2145,plain,
% 7.19/4.94      (~(((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0)))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2144, 2140])).
% 7.19/4.94  tff(2146,plain,
% 7.19/4.94      ((((~v127(constB35, 2)) <=> v130(constB35, 2)) | ((~v127(constB35, 1)) <=> v130(constB35, 1)) | ((~v127(constB35, 0)) <=> v130(constB35, 0))) | (~((~v127(constB35, 2)) <=> v130(constB35, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2147,plain,
% 7.19/4.94      (~((~v127(constB35, 2)) <=> v130(constB35, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2146, 2145])).
% 7.19/4.94  tff(2148,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2149,plain,
% 7.19/4.94      ((v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2))))) <=> (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2150,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2149])).
% 7.19/4.94  tff(2151,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))))),
% 7.19/4.94      inference(transitivity,[status(thm)],[2150, 2148])).
% 7.19/4.94  tff(2152,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 0)) | (~v90(constB35, 2)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2153,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2152, 2151])).
% 7.19/4.94  tff(2154,plain,
% 7.19/4.94      (v124(constB35) <=> (~(v90(constB35, 1) | (~v90(constB35, 2)) | (~v90(constB35, 0))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2153, 963])).
% 7.19/4.94  tff(2155,plain,
% 7.19/4.94      (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2156,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 7.19/4.94  tff(2157,plain,
% 7.19/4.94      (nextState(constB34, constB35)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2156, 2155])).
% 7.19/4.94  tff(2158,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2159,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2160,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2159, 2158])).
% 7.19/4.94  tff(2161,plain,
% 7.19/4.94      (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2160, 2157, 595])).
% 7.19/4.94  tff(2162,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2163,plain,
% 7.19/4.94      (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2164,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2163])).
% 7.19/4.94  tff(2165,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 7.19/4.94      inference(transitivity,[status(thm)],[2164, 2162])).
% 7.19/4.94  tff(2166,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2167,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2166, 2165])).
% 7.19/4.94  tff(2168,plain,
% 7.19/4.94      (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2167, 2157, 615])).
% 7.19/4.94  tff(2169,plain,
% 7.19/4.94      ((~v1(constB35)) <=> (~v1(constB35))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2170,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 7.19/4.94  tff(2171,plain,
% 7.19/4.94      (~v1(constB35)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2170, 2169])).
% 7.19/4.94  tff(2172,plain,
% 7.19/4.94      (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2173,plain,
% 7.19/4.94      ((~v1(constB35)) | (~v102(constB35))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2172, 2171])).
% 7.19/4.94  tff(2174,plain,
% 7.19/4.94      ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2175,plain,
% 7.19/4.94      ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2174, 2173])).
% 7.19/4.94  tff(2176,plain,
% 7.19/4.94      (~v101(constB35)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2175, 2168])).
% 7.19/4.94  tff(2177,plain,
% 7.19/4.94      (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2178,plain,
% 7.19/4.94      ((~v101(constB35)) | (~v110(constB35))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2177, 2176])).
% 7.19/4.94  tff(2179,plain,
% 7.19/4.94      ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2180,plain,
% 7.19/4.94      (~v100(constB35)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2179, 2178, 2161])).
% 7.19/4.94  tff(2181,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2182,plain,
% 7.19/4.94      ((v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))) <=> (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2183,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2182])).
% 7.19/4.94  tff(2184,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 7.19/4.94      inference(transitivity,[status(thm)],[2183, 2181])).
% 7.19/4.94  tff(2185,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2186,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2185, 2184])).
% 7.19/4.94  tff(2187,plain,
% 7.19/4.94      (v100(constB35) | (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2186, 2157, 644])).
% 7.19/4.94  tff(2188,plain,
% 7.19/4.94      (~(((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0)))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2187, 2180])).
% 7.19/4.94  tff(2189,plain,
% 7.19/4.94      ((((~v90(constB35, 1)) <=> v90(constB34, 1)) | ((~v90(constB35, 2)) <=> v90(constB34, 2)) | ((~v90(constB35, 0)) <=> v90(constB34, 0))) | (~((~v90(constB35, 2)) <=> v90(constB34, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2190,plain,
% 7.19/4.94      (~((~v90(constB35, 2)) <=> v90(constB34, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2189, 2188])).
% 7.19/4.94  tff(2191,plain,
% 7.19/4.94      (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2192,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 7.19/4.94  tff(2193,plain,
% 7.19/4.94      (nextState(constB33, constB34)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2192, 2191])).
% 7.19/4.94  tff(2194,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2195,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2196,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2195, 2194])).
% 7.19/4.94  tff(2197,plain,
% 7.19/4.94      (~(((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0)))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2196, 2193, 667])).
% 7.19/4.94  tff(2198,plain,
% 7.19/4.94      ((((~v129(constB34, 2)) <=> v127(constB33, 2)) | ((~v129(constB34, 1)) <=> v127(constB33, 1)) | ((~v129(constB34, 0)) <=> v127(constB33, 0))) | (~((~v129(constB34, 2)) <=> v127(constB33, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2199,plain,
% 7.19/4.94      (~((~v129(constB34, 2)) <=> v127(constB33, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2198, 2197])).
% 7.19/4.94  tff(2200,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2201,plain,
% 7.19/4.94      (v111(constB33) <=> v26(constB33)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2200, 686])).
% 7.19/4.94  tff(2202,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2203,plain,
% 7.19/4.94      (~v26(constB33)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2202, 698])).
% 7.19/4.94  tff(2204,plain,
% 7.19/4.94      ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2205,plain,
% 7.19/4.94      ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2204, 2203])).
% 7.19/4.94  tff(2206,plain,
% 7.19/4.94      (~v111(constB33)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2205, 2201])).
% 7.19/4.94  tff(2207,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2208,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2209,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2208, 2207])).
% 7.19/4.94  tff(2210,plain,
% 7.19/4.94      (v111(constB33) | (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2209, 716])).
% 7.19/4.94  tff(2211,plain,
% 7.19/4.94      (~(((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0)))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2210, 2206])).
% 7.19/4.94  tff(2212,plain,
% 7.19/4.94      ((((~v127(constB33, 2)) <=> v130(constB33, 2)) | ((~v127(constB33, 1)) <=> v130(constB33, 1)) | ((~v127(constB33, 0)) <=> v130(constB33, 0))) | (~((~v127(constB33, 2)) <=> v130(constB33, 2)))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2213,plain,
% 7.19/4.94      (~((~v127(constB33, 2)) <=> v130(constB33, 2))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2212, 2211])).
% 7.19/4.94  tff(2214,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2215,plain,
% 7.19/4.94      ((v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2))))) <=> (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2216,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2215])).
% 7.19/4.94  tff(2217,plain,
% 7.19/4.94      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))))),
% 7.19/4.94      inference(transitivity,[status(thm)],[2216, 2214])).
% 7.19/4.94  tff(2218,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2219,plain,
% 7.19/4.94      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2218, 2217])).
% 7.19/4.94  tff(2220,plain,
% 7.19/4.94      (v123(constB33) <=> (~(v90(constB33, 1) | v90(constB33, 0) | (~v90(constB33, 2))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2219, 1042])).
% 7.19/4.94  tff(2221,plain,
% 7.19/4.94      (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2222,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 7.19/4.94  tff(2223,plain,
% 7.19/4.94      (nextState(constB32, constB33)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2222, 2221])).
% 7.19/4.94  tff(2224,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2225,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2226,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2225, 2224])).
% 7.19/4.94  tff(2227,plain,
% 7.19/4.94      (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2226, 2223, 595])).
% 7.19/4.94  tff(2228,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2229,plain,
% 7.19/4.94      (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2230,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2229])).
% 7.19/4.94  tff(2231,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 7.19/4.94      inference(transitivity,[status(thm)],[2230, 2228])).
% 7.19/4.94  tff(2232,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 7.19/4.94      inference(quant_inst,[status(thm)],[])).
% 7.19/4.94  tff(2233,plain,
% 7.19/4.94      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2232, 2231])).
% 7.19/4.94  tff(2234,plain,
% 7.19/4.94      (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2233, 2223, 615])).
% 7.19/4.94  tff(2235,plain,
% 7.19/4.94      ((~v1(constB33)) <=> (~v1(constB33))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2236,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 7.19/4.94  tff(2237,plain,
% 7.19/4.94      (~v1(constB33)),
% 7.19/4.94      inference(modus_ponens,[status(thm)],[2236, 2235])).
% 7.19/4.94  tff(2238,plain,
% 7.19/4.94      (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2239,plain,
% 7.19/4.94      ((~v1(constB33)) | (~v102(constB33))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2238, 2237])).
% 7.19/4.94  tff(2240,plain,
% 7.19/4.94      ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2241,plain,
% 7.19/4.94      ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2240, 2239])).
% 7.19/4.94  tff(2242,plain,
% 7.19/4.94      (~v101(constB33)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2241, 2234])).
% 7.19/4.94  tff(2243,plain,
% 7.19/4.94      (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2244,plain,
% 7.19/4.94      ((~v101(constB33)) | (~v110(constB33))),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2243, 2242])).
% 7.19/4.94  tff(2245,plain,
% 7.19/4.94      ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 7.19/4.94      inference(tautology,[status(thm)],[])).
% 7.19/4.94  tff(2246,plain,
% 7.19/4.94      (~v100(constB33)),
% 7.19/4.94      inference(unit_resolution,[status(thm)],[2245, 2244, 2227])).
% 7.19/4.94  tff(2247,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2248,plain,
% 7.19/4.94      ((v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))) <=> (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 7.19/4.94      inference(rewrite,[status(thm)],[])).
% 7.19/4.94  tff(2249,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))))),
% 7.19/4.94      inference(monotonicity,[status(thm)],[2248])).
% 7.19/4.94  tff(2250,plain,
% 7.19/4.94      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2249, 2247])).
% 7.19/4.95  tff(2251,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2252,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2251, 2250])).
% 7.19/4.95  tff(2253,plain,
% 7.19/4.95      (v100(constB33) | (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2252, 2223, 644])).
% 7.19/4.95  tff(2254,plain,
% 7.19/4.95      (~(((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2253, 2246])).
% 7.19/4.95  tff(2255,plain,
% 7.19/4.95      ((((~v90(constB33, 1)) <=> v90(constB32, 1)) | ((~v90(constB33, 2)) <=> v90(constB32, 2)) | ((~v90(constB33, 0)) <=> v90(constB32, 0))) | (~((~v90(constB33, 2)) <=> v90(constB32, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2256,plain,
% 7.19/4.95      (~((~v90(constB33, 2)) <=> v90(constB32, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2255, 2254])).
% 7.19/4.95  tff(2257,plain,
% 7.19/4.95      (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2258,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 7.19/4.95  tff(2259,plain,
% 7.19/4.95      (nextState(constB31, constB32)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2258, 2257])).
% 7.19/4.95  tff(2260,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2261,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2262,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2261, 2260])).
% 7.19/4.95  tff(2263,plain,
% 7.19/4.95      (~(((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2262, 2259, 667])).
% 7.19/4.95  tff(2264,plain,
% 7.19/4.95      ((((~v129(constB32, 2)) <=> v127(constB31, 2)) | ((~v129(constB32, 1)) <=> v127(constB31, 1)) | ((~v129(constB32, 0)) <=> v127(constB31, 0))) | (~((~v129(constB32, 2)) <=> v127(constB31, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2265,plain,
% 7.19/4.95      (~((~v129(constB32, 2)) <=> v127(constB31, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2264, 2263])).
% 7.19/4.95  tff(2266,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2267,plain,
% 7.19/4.95      (v111(constB31) <=> v26(constB31)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2266, 686])).
% 7.19/4.95  tff(2268,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2269,plain,
% 7.19/4.95      (~v26(constB31)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2268, 698])).
% 7.19/4.95  tff(2270,plain,
% 7.19/4.95      ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2271,plain,
% 7.19/4.95      ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2270, 2269])).
% 7.19/4.95  tff(2272,plain,
% 7.19/4.95      (~v111(constB31)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2271, 2267])).
% 7.19/4.95  tff(2273,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2274,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2275,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2274, 2273])).
% 7.19/4.95  tff(2276,plain,
% 7.19/4.95      (v111(constB31) | (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2275, 716])).
% 7.19/4.95  tff(2277,plain,
% 7.19/4.95      (~(((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2276, 2272])).
% 7.19/4.95  tff(2278,plain,
% 7.19/4.95      ((((~v127(constB31, 2)) <=> v130(constB31, 2)) | ((~v127(constB31, 1)) <=> v130(constB31, 1)) | ((~v127(constB31, 0)) <=> v130(constB31, 0))) | (~((~v127(constB31, 2)) <=> v130(constB31, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2279,plain,
% 7.19/4.95      (~((~v127(constB31, 2)) <=> v130(constB31, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2278, 2277])).
% 7.19/4.95  tff(2280,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2281,plain,
% 7.19/4.95      ((v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1))))) <=> (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2282,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 7.19/4.95      inference(monotonicity,[status(thm)],[2281])).
% 7.19/4.95  tff(2283,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2282, 2280])).
% 7.19/4.95  tff(2284,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 0)) | (~v90(constB31, 1)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2285,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2284, 2283])).
% 7.19/4.95  tff(2286,plain,
% 7.19/4.95      (v122(constB31) <=> (~(v90(constB31, 2) | (~v90(constB31, 1)) | (~v90(constB31, 0))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2285, 1121])).
% 7.19/4.95  tff(2287,plain,
% 7.19/4.95      (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2288,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 7.19/4.95  tff(2289,plain,
% 7.19/4.95      (nextState(constB30, constB31)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2288, 2287])).
% 7.19/4.95  tff(2290,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2291,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2292,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2291, 2290])).
% 7.19/4.95  tff(2293,plain,
% 7.19/4.95      (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2292, 2289, 595])).
% 7.19/4.95  tff(2294,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2295,plain,
% 7.19/4.95      (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2296,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))))),
% 7.19/4.95      inference(monotonicity,[status(thm)],[2295])).
% 7.19/4.95  tff(2297,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2296, 2294])).
% 7.19/4.95  tff(2298,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2299,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2298, 2297])).
% 7.19/4.95  tff(2300,plain,
% 7.19/4.95      (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2299, 2289, 615])).
% 7.19/4.95  tff(2301,plain,
% 7.19/4.95      ((~v1(constB31)) <=> (~v1(constB31))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2302,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 7.19/4.95  tff(2303,plain,
% 7.19/4.95      (~v1(constB31)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2302, 2301])).
% 7.19/4.95  tff(2304,plain,
% 7.19/4.95      (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2305,plain,
% 7.19/4.95      ((~v1(constB31)) | (~v102(constB31))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2304, 2303])).
% 7.19/4.95  tff(2306,plain,
% 7.19/4.95      ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2307,plain,
% 7.19/4.95      ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2306, 2305])).
% 7.19/4.95  tff(2308,plain,
% 7.19/4.95      (~v101(constB31)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2307, 2300])).
% 7.19/4.95  tff(2309,plain,
% 7.19/4.95      (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2310,plain,
% 7.19/4.95      ((~v101(constB31)) | (~v110(constB31))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2309, 2308])).
% 7.19/4.95  tff(2311,plain,
% 7.19/4.95      ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2312,plain,
% 7.19/4.95      (~v100(constB31)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2311, 2310, 2293])).
% 7.19/4.95  tff(2313,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2314,plain,
% 7.19/4.95      ((v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))) <=> (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2315,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))))),
% 7.19/4.95      inference(monotonicity,[status(thm)],[2314])).
% 7.19/4.95  tff(2316,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2315, 2313])).
% 7.19/4.95  tff(2317,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2318,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2317, 2316])).
% 7.19/4.95  tff(2319,plain,
% 7.19/4.95      (v100(constB31) | (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2318, 2289, 644])).
% 7.19/4.95  tff(2320,plain,
% 7.19/4.95      (~(((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2319, 2312])).
% 7.19/4.95  tff(2321,plain,
% 7.19/4.95      ((((~v90(constB31, 1)) <=> v90(constB30, 1)) | ((~v90(constB31, 2)) <=> v90(constB30, 2)) | ((~v90(constB31, 0)) <=> v90(constB30, 0))) | (~((~v90(constB31, 2)) <=> v90(constB30, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2322,plain,
% 7.19/4.95      (~((~v90(constB31, 2)) <=> v90(constB30, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2321, 2320])).
% 7.19/4.95  tff(2323,plain,
% 7.19/4.95      (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2324,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 7.19/4.95  tff(2325,plain,
% 7.19/4.95      (nextState(constB29, constB30)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2324, 2323])).
% 7.19/4.95  tff(2326,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2327,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2328,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2327, 2326])).
% 7.19/4.95  tff(2329,plain,
% 7.19/4.95      (~(((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2328, 2325, 667])).
% 7.19/4.95  tff(2330,plain,
% 7.19/4.95      ((((~v129(constB30, 2)) <=> v127(constB29, 2)) | ((~v129(constB30, 1)) <=> v127(constB29, 1)) | ((~v129(constB30, 0)) <=> v127(constB29, 0))) | (~((~v129(constB30, 2)) <=> v127(constB29, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2331,plain,
% 7.19/4.95      (~((~v129(constB30, 2)) <=> v127(constB29, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2330, 2329])).
% 7.19/4.95  tff(2332,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2333,plain,
% 7.19/4.95      (v111(constB29) <=> v26(constB29)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2332, 686])).
% 7.19/4.95  tff(2334,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2335,plain,
% 7.19/4.95      (~v26(constB29)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2334, 698])).
% 7.19/4.95  tff(2336,plain,
% 7.19/4.95      ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2337,plain,
% 7.19/4.95      ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2336, 2335])).
% 7.19/4.95  tff(2338,plain,
% 7.19/4.95      (~v111(constB29)),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2337, 2333])).
% 7.19/4.95  tff(2339,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2340,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2341,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2340, 2339])).
% 7.19/4.95  tff(2342,plain,
% 7.19/4.95      (v111(constB29) | (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2341, 716])).
% 7.19/4.95  tff(2343,plain,
% 7.19/4.95      (~(((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0)))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2342, 2338])).
% 7.19/4.95  tff(2344,plain,
% 7.19/4.95      ((((~v127(constB29, 2)) <=> v130(constB29, 2)) | ((~v127(constB29, 1)) <=> v130(constB29, 1)) | ((~v127(constB29, 0)) <=> v130(constB29, 0))) | (~((~v127(constB29, 2)) <=> v130(constB29, 2)))),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2345,plain,
% 7.19/4.95      (~((~v127(constB29, 2)) <=> v130(constB29, 2))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2344, 2343])).
% 7.19/4.95  tff(2346,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2347,plain,
% 7.19/4.95      ((v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1))))) <=> (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2348,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 7.19/4.95      inference(monotonicity,[status(thm)],[2347])).
% 7.19/4.95  tff(2349,plain,
% 7.19/4.95      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2348, 2346])).
% 7.19/4.95  tff(2350,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 0) | v90(constB29, 2) | (~v90(constB29, 1)))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2351,plain,
% 7.19/4.95      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2350, 2349])).
% 7.19/4.95  tff(2352,plain,
% 7.19/4.95      (v121(constB29) <=> (~(v90(constB29, 2) | v90(constB29, 0) | (~v90(constB29, 1))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2351, 736])).
% 7.19/4.95  tff(2353,plain,
% 7.19/4.95      (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2354,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 7.19/4.95  tff(2355,plain,
% 7.19/4.95      (nextState(constB28, constB29)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2354, 2353])).
% 7.19/4.95  tff(2356,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2357,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2358,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2357, 2356])).
% 7.19/4.95  tff(2359,plain,
% 7.19/4.95      (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2358, 2355, 595])).
% 7.19/4.95  tff(2360,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2361,plain,
% 7.19/4.95      (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2362,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))))),
% 7.19/4.95      inference(monotonicity,[status(thm)],[2361])).
% 7.19/4.95  tff(2363,plain,
% 7.19/4.95      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 7.19/4.95      inference(transitivity,[status(thm)],[2362, 2360])).
% 7.19/4.95  tff(2364,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 7.19/4.95      inference(quant_inst,[status(thm)],[])).
% 7.19/4.95  tff(2365,plain,
% 7.19/4.95      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2364, 2363])).
% 7.19/4.95  tff(2366,plain,
% 7.19/4.95      (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 7.19/4.95      inference(unit_resolution,[status(thm)],[2365, 2355, 615])).
% 7.19/4.95  tff(2367,plain,
% 7.19/4.95      ((~v1(constB29)) <=> (~v1(constB29))),
% 7.19/4.95      inference(rewrite,[status(thm)],[])).
% 7.19/4.95  tff(2368,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 7.19/4.95  tff(2369,plain,
% 7.19/4.95      (~v1(constB29)),
% 7.19/4.95      inference(modus_ponens,[status(thm)],[2368, 2367])).
% 7.19/4.95  tff(2370,plain,
% 7.19/4.95      (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 7.19/4.95      inference(tautology,[status(thm)],[])).
% 7.19/4.95  tff(2371,plain,
% 7.19/4.95      ((~v1(constB29)) | (~v102(constB29))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2370, 2369])).
% 7.19/4.96  tff(2372,plain,
% 7.19/4.96      ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2373,plain,
% 7.19/4.96      ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2372, 2371])).
% 7.19/4.96  tff(2374,plain,
% 7.19/4.96      (~v101(constB29)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2373, 2366])).
% 7.19/4.96  tff(2375,plain,
% 7.19/4.96      (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2376,plain,
% 7.19/4.96      ((~v101(constB29)) | (~v110(constB29))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2375, 2374])).
% 7.19/4.96  tff(2377,plain,
% 7.19/4.96      ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2378,plain,
% 7.19/4.96      (~v100(constB29)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2377, 2376, 2359])).
% 7.19/4.96  tff(2379,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2380,plain,
% 7.19/4.96      ((v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))) <=> (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2381,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))))),
% 7.19/4.96      inference(monotonicity,[status(thm)],[2380])).
% 7.19/4.96  tff(2382,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 7.19/4.96      inference(transitivity,[status(thm)],[2381, 2379])).
% 7.19/4.96  tff(2383,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2384,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2383, 2382])).
% 7.19/4.96  tff(2385,plain,
% 7.19/4.96      (v100(constB29) | (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2384, 2355, 644])).
% 7.19/4.96  tff(2386,plain,
% 7.19/4.96      (~(((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2385, 2378])).
% 7.19/4.96  tff(2387,plain,
% 7.19/4.96      ((((~v90(constB29, 1)) <=> v90(constB28, 1)) | ((~v90(constB29, 2)) <=> v90(constB28, 2)) | ((~v90(constB29, 0)) <=> v90(constB28, 0))) | (~((~v90(constB29, 2)) <=> v90(constB28, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2388,plain,
% 7.19/4.96      (~((~v90(constB29, 2)) <=> v90(constB28, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2387, 2386])).
% 7.19/4.96  tff(2389,plain,
% 7.19/4.96      (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2390,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 7.19/4.96  tff(2391,plain,
% 7.19/4.96      (nextState(constB27, constB28)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2390, 2389])).
% 7.19/4.96  tff(2392,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2393,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2394,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2393, 2392])).
% 7.19/4.96  tff(2395,plain,
% 7.19/4.96      (~(((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2394, 2391, 667])).
% 7.19/4.96  tff(2396,plain,
% 7.19/4.96      ((((~v129(constB28, 2)) <=> v127(constB27, 2)) | ((~v129(constB28, 1)) <=> v127(constB27, 1)) | ((~v129(constB28, 0)) <=> v127(constB27, 0))) | (~((~v129(constB28, 2)) <=> v127(constB27, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2397,plain,
% 7.19/4.96      (~((~v129(constB28, 2)) <=> v127(constB27, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2396, 2395])).
% 7.19/4.96  tff(2398,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2399,plain,
% 7.19/4.96      (v111(constB27) <=> v26(constB27)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2398, 686])).
% 7.19/4.96  tff(2400,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2401,plain,
% 7.19/4.96      (~v26(constB27)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2400, 698])).
% 7.19/4.96  tff(2402,plain,
% 7.19/4.96      ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2403,plain,
% 7.19/4.96      ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2402, 2401])).
% 7.19/4.96  tff(2404,plain,
% 7.19/4.96      (~v111(constB27)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2403, 2399])).
% 7.19/4.96  tff(2405,plain,
% 7.19/4.96      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2406,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2407,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2406, 2405])).
% 7.19/4.96  tff(2408,plain,
% 7.19/4.96      (v111(constB27) | (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2407, 716])).
% 7.19/4.96  tff(2409,plain,
% 7.19/4.96      (~(((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2408, 2404])).
% 7.19/4.96  tff(2410,plain,
% 7.19/4.96      ((((~v127(constB27, 2)) <=> v130(constB27, 2)) | ((~v127(constB27, 1)) <=> v130(constB27, 1)) | ((~v127(constB27, 0)) <=> v130(constB27, 0))) | (~((~v127(constB27, 2)) <=> v130(constB27, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2411,plain,
% 7.19/4.96      (~((~v127(constB27, 2)) <=> v130(constB27, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2410, 2409])).
% 7.19/4.96  tff(2412,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB27) <=> (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2413,plain,
% 7.19/4.96      (v120(constB27) <=> (~(v90(constB27, 1) | v90(constB27, 2) | (~v90(constB27, 0))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2412, 815])).
% 7.19/4.96  tff(2414,plain,
% 7.19/4.96      (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2415,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 7.19/4.96  tff(2416,plain,
% 7.19/4.96      (nextState(constB26, constB27)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2415, 2414])).
% 7.19/4.96  tff(2417,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2418,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2419,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2418, 2417])).
% 7.19/4.96  tff(2420,plain,
% 7.19/4.96      (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2419, 2416, 595])).
% 7.19/4.96  tff(2421,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2422,plain,
% 7.19/4.96      (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2423,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))))),
% 7.19/4.96      inference(monotonicity,[status(thm)],[2422])).
% 7.19/4.96  tff(2424,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 7.19/4.96      inference(transitivity,[status(thm)],[2423, 2421])).
% 7.19/4.96  tff(2425,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2426,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2425, 2424])).
% 7.19/4.96  tff(2427,plain,
% 7.19/4.96      (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2426, 2416, 615])).
% 7.19/4.96  tff(2428,plain,
% 7.19/4.96      ((~v1(constB27)) <=> (~v1(constB27))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2429,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 7.19/4.96  tff(2430,plain,
% 7.19/4.96      (~v1(constB27)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2429, 2428])).
% 7.19/4.96  tff(2431,plain,
% 7.19/4.96      (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2432,plain,
% 7.19/4.96      ((~v1(constB27)) | (~v102(constB27))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2431, 2430])).
% 7.19/4.96  tff(2433,plain,
% 7.19/4.96      ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2434,plain,
% 7.19/4.96      ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2433, 2432])).
% 7.19/4.96  tff(2435,plain,
% 7.19/4.96      (~v101(constB27)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2434, 2427])).
% 7.19/4.96  tff(2436,plain,
% 7.19/4.96      (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2437,plain,
% 7.19/4.96      ((~v101(constB27)) | (~v110(constB27))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2436, 2435])).
% 7.19/4.96  tff(2438,plain,
% 7.19/4.96      ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2439,plain,
% 7.19/4.96      (~v100(constB27)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2438, 2437, 2420])).
% 7.19/4.96  tff(2440,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2441,plain,
% 7.19/4.96      ((v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))) <=> (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2442,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))))),
% 7.19/4.96      inference(monotonicity,[status(thm)],[2441])).
% 7.19/4.96  tff(2443,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 7.19/4.96      inference(transitivity,[status(thm)],[2442, 2440])).
% 7.19/4.96  tff(2444,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2445,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2444, 2443])).
% 7.19/4.96  tff(2446,plain,
% 7.19/4.96      (v100(constB27) | (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2445, 2416, 644])).
% 7.19/4.96  tff(2447,plain,
% 7.19/4.96      (~(((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2446, 2439])).
% 7.19/4.96  tff(2448,plain,
% 7.19/4.96      ((((~v90(constB27, 1)) <=> v90(constB26, 1)) | ((~v90(constB27, 2)) <=> v90(constB26, 2)) | ((~v90(constB27, 0)) <=> v90(constB26, 0))) | (~((~v90(constB27, 2)) <=> v90(constB26, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2449,plain,
% 7.19/4.96      (~((~v90(constB27, 2)) <=> v90(constB26, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2448, 2447])).
% 7.19/4.96  tff(2450,plain,
% 7.19/4.96      (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2451,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 7.19/4.96  tff(2452,plain,
% 7.19/4.96      (nextState(constB25, constB26)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2451, 2450])).
% 7.19/4.96  tff(2453,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2454,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2455,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2454, 2453])).
% 7.19/4.96  tff(2456,plain,
% 7.19/4.96      (~(((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2455, 2452, 667])).
% 7.19/4.96  tff(2457,plain,
% 7.19/4.96      ((((~v129(constB26, 2)) <=> v127(constB25, 2)) | ((~v129(constB26, 1)) <=> v127(constB25, 1)) | ((~v129(constB26, 0)) <=> v127(constB25, 0))) | (~((~v129(constB26, 2)) <=> v127(constB25, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2458,plain,
% 7.19/4.96      (~((~v129(constB26, 2)) <=> v127(constB25, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2457, 2456])).
% 7.19/4.96  tff(2459,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2460,plain,
% 7.19/4.96      (v111(constB25) <=> v26(constB25)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2459, 686])).
% 7.19/4.96  tff(2461,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2462,plain,
% 7.19/4.96      (~v26(constB25)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2461, 698])).
% 7.19/4.96  tff(2463,plain,
% 7.19/4.96      ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2464,plain,
% 7.19/4.96      ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2463, 2462])).
% 7.19/4.96  tff(2465,plain,
% 7.19/4.96      (~v111(constB25)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2464, 2460])).
% 7.19/4.96  tff(2466,plain,
% 7.19/4.96      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2467,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2468,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2467, 2466])).
% 7.19/4.96  tff(2469,plain,
% 7.19/4.96      (v111(constB25) | (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2468, 716])).
% 7.19/4.96  tff(2470,plain,
% 7.19/4.96      (~(((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2469, 2465])).
% 7.19/4.96  tff(2471,plain,
% 7.19/4.96      ((((~v127(constB25, 2)) <=> v130(constB25, 2)) | ((~v127(constB25, 1)) <=> v130(constB25, 1)) | ((~v127(constB25, 0)) <=> v130(constB25, 0))) | (~((~v127(constB25, 2)) <=> v130(constB25, 2)))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2472,plain,
% 7.19/4.96      (~((~v127(constB25, 2)) <=> v130(constB25, 2))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2471, 2470])).
% 7.19/4.96  tff(2473,plain,
% 7.19/4.96      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2474,plain,
% 7.19/4.96      (v119(constB25) <=> (~(v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2)))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2473, 889])).
% 7.19/4.96  tff(2475,plain,
% 7.19/4.96      (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2476,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 7.19/4.96  tff(2477,plain,
% 7.19/4.96      (nextState(constB24, constB25)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2476, 2475])).
% 7.19/4.96  tff(2478,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2479,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2480,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2479, 2478])).
% 7.19/4.96  tff(2481,plain,
% 7.19/4.96      (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2480, 2477, 595])).
% 7.19/4.96  tff(2482,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2483,plain,
% 7.19/4.96      (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2484,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))))),
% 7.19/4.96      inference(monotonicity,[status(thm)],[2483])).
% 7.19/4.96  tff(2485,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 7.19/4.96      inference(transitivity,[status(thm)],[2484, 2482])).
% 7.19/4.96  tff(2486,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 7.19/4.96      inference(quant_inst,[status(thm)],[])).
% 7.19/4.96  tff(2487,plain,
% 7.19/4.96      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2486, 2485])).
% 7.19/4.96  tff(2488,plain,
% 7.19/4.96      (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2487, 2477, 615])).
% 7.19/4.96  tff(2489,plain,
% 7.19/4.96      ((~v1(constB25)) <=> (~v1(constB25))),
% 7.19/4.96      inference(rewrite,[status(thm)],[])).
% 7.19/4.96  tff(2490,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 7.19/4.96  tff(2491,plain,
% 7.19/4.96      (~v1(constB25)),
% 7.19/4.96      inference(modus_ponens,[status(thm)],[2490, 2489])).
% 7.19/4.96  tff(2492,plain,
% 7.19/4.96      (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2493,plain,
% 7.19/4.96      ((~v1(constB25)) | (~v102(constB25))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2492, 2491])).
% 7.19/4.96  tff(2494,plain,
% 7.19/4.96      ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2495,plain,
% 7.19/4.96      ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2494, 2493])).
% 7.19/4.96  tff(2496,plain,
% 7.19/4.96      (~v101(constB25)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2495, 2488])).
% 7.19/4.96  tff(2497,plain,
% 7.19/4.96      (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2498,plain,
% 7.19/4.96      ((~v101(constB25)) | (~v110(constB25))),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2497, 2496])).
% 7.19/4.96  tff(2499,plain,
% 7.19/4.96      ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 7.19/4.96      inference(tautology,[status(thm)],[])).
% 7.19/4.96  tff(2500,plain,
% 7.19/4.96      (~v100(constB25)),
% 7.19/4.96      inference(unit_resolution,[status(thm)],[2499, 2498, 2481])).
% 7.19/4.96  tff(2501,plain,
% 7.19/4.96      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 7.19/4.97      inference(rewrite,[status(thm)],[])).
% 7.19/4.97  tff(2502,plain,
% 7.19/4.97      ((v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))) <=> (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 7.19/4.97      inference(rewrite,[status(thm)],[])).
% 7.19/4.97  tff(2503,plain,
% 7.19/4.97      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))))),
% 7.19/4.97      inference(monotonicity,[status(thm)],[2502])).
% 7.19/4.97  tff(2504,plain,
% 7.19/4.97      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 7.19/4.97      inference(transitivity,[status(thm)],[2503, 2501])).
% 7.19/4.97  tff(2505,plain,
% 7.19/4.97      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))))),
% 7.19/4.97      inference(quant_inst,[status(thm)],[])).
% 7.19/4.97  tff(2506,plain,
% 7.19/4.97      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))),
% 7.19/4.97      inference(modus_ponens,[status(thm)],[2505, 2504])).
% 7.19/4.97  tff(2507,plain,
% 7.19/4.97      (v100(constB25) | (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2506, 2477, 644])).
% 7.19/4.97  tff(2508,plain,
% 7.19/4.97      (~(((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0)))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2507, 2500])).
% 7.19/4.97  tff(2509,plain,
% 7.19/4.97      ((((~v90(constB25, 1)) <=> v90(constB24, 1)) | ((~v90(constB25, 2)) <=> v90(constB24, 2)) | ((~v90(constB25, 0)) <=> v90(constB24, 0))) | (~((~v90(constB25, 2)) <=> v90(constB24, 2)))),
% 7.19/4.97      inference(tautology,[status(thm)],[])).
% 7.19/4.97  tff(2510,plain,
% 7.19/4.97      (~((~v90(constB25, 2)) <=> v90(constB24, 2))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2509, 2508])).
% 7.19/4.97  tff(2511,plain,
% 7.19/4.97      (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 7.19/4.97      inference(rewrite,[status(thm)],[])).
% 7.19/4.97  tff(2512,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 7.19/4.97  tff(2513,plain,
% 7.19/4.97      (nextState(constB23, constB24)),
% 7.19/4.97      inference(modus_ponens,[status(thm)],[2512, 2511])).
% 7.19/4.97  tff(2514,plain,
% 7.19/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))),
% 7.19/4.97      inference(rewrite,[status(thm)],[])).
% 7.19/4.97  tff(2515,plain,
% 7.19/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))))),
% 7.19/4.97      inference(quant_inst,[status(thm)],[])).
% 7.19/4.97  tff(2516,plain,
% 7.19/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))))),
% 7.19/4.97      inference(modus_ponens,[status(thm)],[2515, 2514])).
% 7.19/4.97  tff(2517,plain,
% 7.19/4.97      (~(((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0)))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2516, 2513, 667])).
% 7.19/4.97  tff(2518,plain,
% 7.19/4.97      ((((~v129(constB24, 2)) <=> v127(constB23, 2)) | ((~v129(constB24, 1)) <=> v127(constB23, 1)) | ((~v129(constB24, 0)) <=> v127(constB23, 0))) | (~((~v129(constB24, 2)) <=> v127(constB23, 2)))),
% 7.19/4.97      inference(tautology,[status(thm)],[])).
% 7.19/4.97  tff(2519,plain,
% 7.19/4.97      (~((~v129(constB24, 2)) <=> v127(constB23, 2))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2518, 2517])).
% 7.19/4.97  tff(2520,plain,
% 7.19/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 7.19/4.97      inference(quant_inst,[status(thm)],[])).
% 7.19/4.97  tff(2521,plain,
% 7.19/4.97      (v111(constB23) <=> v26(constB23)),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2520, 686])).
% 7.19/4.97  tff(2522,plain,
% 7.19/4.97      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 7.19/4.97      inference(quant_inst,[status(thm)],[])).
% 7.19/4.97  tff(2523,plain,
% 7.19/4.97      (~v26(constB23)),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2522, 698])).
% 7.19/4.97  tff(2524,plain,
% 7.19/4.97      ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 7.19/4.97      inference(tautology,[status(thm)],[])).
% 7.19/4.97  tff(2525,plain,
% 7.19/4.97      ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2524, 2523])).
% 7.19/4.97  tff(2526,plain,
% 7.19/4.97      (~v111(constB23)),
% 7.19/4.97      inference(unit_resolution,[status(thm)],[2525, 2521])).
% 7.19/4.97  tff(2527,plain,
% 7.19/4.97      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))),
% 7.19/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2528,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2529,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2528, 2527])).
% 7.22/4.97  tff(2530,plain,
% 7.22/4.97      (v111(constB23) | (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2529, 716])).
% 7.22/4.97  tff(2531,plain,
% 7.22/4.97      (~(((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0)))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2530, 2526])).
% 7.22/4.97  tff(2532,plain,
% 7.22/4.97      ((((~v127(constB23, 2)) <=> v130(constB23, 2)) | ((~v127(constB23, 1)) <=> v130(constB23, 1)) | ((~v127(constB23, 0)) <=> v130(constB23, 0))) | (~((~v127(constB23, 2)) <=> v130(constB23, 2)))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2533,plain,
% 7.22/4.97      (~((~v127(constB23, 2)) <=> v130(constB23, 2))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2532, 2531])).
% 7.22/4.97  tff(2534,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2535,plain,
% 7.22/4.97      ((v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 0)) | (~v90(constB23, 2))))) <=> (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2536,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 0)) | (~v90(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0))))))),
% 7.22/4.97      inference(monotonicity,[status(thm)],[2535])).
% 7.22/4.97  tff(2537,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 0)) | (~v90(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0))))))),
% 7.22/4.97      inference(transitivity,[status(thm)],[2536, 2534])).
% 7.22/4.97  tff(2538,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 0)) | (~v90(constB23, 2)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2539,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0)))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2538, 2537])).
% 7.22/4.97  tff(2540,plain,
% 7.22/4.97      (v124(constB23) <=> (~(v90(constB23, 1) | (~v90(constB23, 2)) | (~v90(constB23, 0))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2539, 963])).
% 7.22/4.97  tff(2541,plain,
% 7.22/4.97      (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2542,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 7.22/4.97  tff(2543,plain,
% 7.22/4.97      (nextState(constB22, constB23)),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2542, 2541])).
% 7.22/4.97  tff(2544,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2545,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2546,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2545, 2544])).
% 7.22/4.97  tff(2547,plain,
% 7.22/4.97      (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2546, 2543, 595])).
% 7.22/4.97  tff(2548,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2549,plain,
% 7.22/4.97      (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2550,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))))),
% 7.22/4.97      inference(monotonicity,[status(thm)],[2549])).
% 7.22/4.97  tff(2551,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 7.22/4.97      inference(transitivity,[status(thm)],[2550, 2548])).
% 7.22/4.97  tff(2552,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2553,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2552, 2551])).
% 7.22/4.97  tff(2554,plain,
% 7.22/4.97      (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2553, 2543, 615])).
% 7.22/4.97  tff(2555,plain,
% 7.22/4.97      ((~v1(constB23)) <=> (~v1(constB23))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2556,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 7.22/4.97  tff(2557,plain,
% 7.22/4.97      (~v1(constB23)),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2556, 2555])).
% 7.22/4.97  tff(2558,plain,
% 7.22/4.97      (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2559,plain,
% 7.22/4.97      ((~v1(constB23)) | (~v102(constB23))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2558, 2557])).
% 7.22/4.97  tff(2560,plain,
% 7.22/4.97      ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2561,plain,
% 7.22/4.97      ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2560, 2559])).
% 7.22/4.97  tff(2562,plain,
% 7.22/4.97      (~v101(constB23)),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2561, 2554])).
% 7.22/4.97  tff(2563,plain,
% 7.22/4.97      (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2564,plain,
% 7.22/4.97      ((~v101(constB23)) | (~v110(constB23))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2563, 2562])).
% 7.22/4.97  tff(2565,plain,
% 7.22/4.97      ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2566,plain,
% 7.22/4.97      (~v100(constB23)),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2565, 2564, 2547])).
% 7.22/4.97  tff(2567,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2568,plain,
% 7.22/4.97      ((v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))) <=> (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2569,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))))),
% 7.22/4.97      inference(monotonicity,[status(thm)],[2568])).
% 7.22/4.97  tff(2570,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 7.22/4.97      inference(transitivity,[status(thm)],[2569, 2567])).
% 7.22/4.97  tff(2571,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2572,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2571, 2570])).
% 7.22/4.97  tff(2573,plain,
% 7.22/4.97      (v100(constB23) | (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2572, 2543, 644])).
% 7.22/4.97  tff(2574,plain,
% 7.22/4.97      (~(((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0)))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2573, 2566])).
% 7.22/4.97  tff(2575,plain,
% 7.22/4.97      ((((~v90(constB23, 1)) <=> v90(constB22, 1)) | ((~v90(constB23, 2)) <=> v90(constB22, 2)) | ((~v90(constB23, 0)) <=> v90(constB22, 0))) | (~((~v90(constB23, 2)) <=> v90(constB22, 2)))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2576,plain,
% 7.22/4.97      (~((~v90(constB23, 2)) <=> v90(constB22, 2))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2575, 2574])).
% 7.22/4.97  tff(2577,plain,
% 7.22/4.97      (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2578,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 7.22/4.97  tff(2579,plain,
% 7.22/4.97      (nextState(constB21, constB22)),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2578, 2577])).
% 7.22/4.97  tff(2580,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2581,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2582,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2581, 2580])).
% 7.22/4.97  tff(2583,plain,
% 7.22/4.97      (~(((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0)))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2582, 2579, 667])).
% 7.22/4.97  tff(2584,plain,
% 7.22/4.97      ((((~v129(constB22, 2)) <=> v127(constB21, 2)) | ((~v129(constB22, 1)) <=> v127(constB21, 1)) | ((~v129(constB22, 0)) <=> v127(constB21, 0))) | (~((~v129(constB22, 2)) <=> v127(constB21, 2)))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2585,plain,
% 7.22/4.97      (~((~v129(constB22, 2)) <=> v127(constB21, 2))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2584, 2583])).
% 7.22/4.97  tff(2586,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2587,plain,
% 7.22/4.97      (v111(constB21) <=> v26(constB21)),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2586, 686])).
% 7.22/4.97  tff(2588,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2589,plain,
% 7.22/4.97      (~v26(constB21)),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2588, 698])).
% 7.22/4.97  tff(2590,plain,
% 7.22/4.97      ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2591,plain,
% 7.22/4.97      ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2590, 2589])).
% 7.22/4.97  tff(2592,plain,
% 7.22/4.97      (~v111(constB21)),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2591, 2587])).
% 7.22/4.97  tff(2593,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2594,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2595,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2594, 2593])).
% 7.22/4.97  tff(2596,plain,
% 7.22/4.97      (v111(constB21) | (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2595, 716])).
% 7.22/4.97  tff(2597,plain,
% 7.22/4.97      (~(((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0)))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2596, 2592])).
% 7.22/4.97  tff(2598,plain,
% 7.22/4.97      ((((~v127(constB21, 2)) <=> v130(constB21, 2)) | ((~v127(constB21, 1)) <=> v130(constB21, 1)) | ((~v127(constB21, 0)) <=> v130(constB21, 0))) | (~((~v127(constB21, 2)) <=> v130(constB21, 2)))),
% 7.22/4.97      inference(tautology,[status(thm)],[])).
% 7.22/4.97  tff(2599,plain,
% 7.22/4.97      (~((~v127(constB21, 2)) <=> v130(constB21, 2))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2598, 2597])).
% 7.22/4.97  tff(2600,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2601,plain,
% 7.22/4.97      ((v123(constB21) <=> (~(v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2))))) <=> (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2)))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2602,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2))))))),
% 7.22/4.97      inference(monotonicity,[status(thm)],[2601])).
% 7.22/4.97  tff(2603,plain,
% 7.22/4.97      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2))))))),
% 7.22/4.97      inference(transitivity,[status(thm)],[2602, 2600])).
% 7.22/4.97  tff(2604,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2605,plain,
% 7.22/4.97      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2)))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2604, 2603])).
% 7.22/4.97  tff(2606,plain,
% 7.22/4.97      (v123(constB21) <=> (~(v90(constB21, 1) | v90(constB21, 0) | (~v90(constB21, 2))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2605, 1042])).
% 7.22/4.97  tff(2607,plain,
% 7.22/4.97      (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2608,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 7.22/4.97  tff(2609,plain,
% 7.22/4.97      (nextState(constB20, constB21)),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2608, 2607])).
% 7.22/4.97  tff(2610,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2611,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 7.22/4.97      inference(quant_inst,[status(thm)],[])).
% 7.22/4.97  tff(2612,plain,
% 7.22/4.97      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 7.22/4.97      inference(modus_ponens,[status(thm)],[2611, 2610])).
% 7.22/4.97  tff(2613,plain,
% 7.22/4.97      (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 7.22/4.97      inference(unit_resolution,[status(thm)],[2612, 2609, 595])).
% 7.22/4.97  tff(2614,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2615,plain,
% 7.22/4.97      (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 7.22/4.97      inference(rewrite,[status(thm)],[])).
% 7.22/4.97  tff(2616,plain,
% 7.22/4.97      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))))),
% 7.22/4.98      inference(monotonicity,[status(thm)],[2615])).
% 7.22/4.98  tff(2617,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 7.22/4.98      inference(transitivity,[status(thm)],[2616, 2614])).
% 7.22/4.98  tff(2618,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2619,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2618, 2617])).
% 7.22/4.98  tff(2620,plain,
% 7.22/4.98      (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2619, 2609, 615])).
% 7.22/4.98  tff(2621,plain,
% 7.22/4.98      ((~v1(constB21)) <=> (~v1(constB21))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2622,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 7.22/4.98  tff(2623,plain,
% 7.22/4.98      (~v1(constB21)),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2622, 2621])).
% 7.22/4.98  tff(2624,plain,
% 7.22/4.98      (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2625,plain,
% 7.22/4.98      ((~v1(constB21)) | (~v102(constB21))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2624, 2623])).
% 7.22/4.98  tff(2626,plain,
% 7.22/4.98      ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2627,plain,
% 7.22/4.98      ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2626, 2625])).
% 7.22/4.98  tff(2628,plain,
% 7.22/4.98      (~v101(constB21)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2627, 2620])).
% 7.22/4.98  tff(2629,plain,
% 7.22/4.98      (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2630,plain,
% 7.22/4.98      ((~v101(constB21)) | (~v110(constB21))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2629, 2628])).
% 7.22/4.98  tff(2631,plain,
% 7.22/4.98      ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2632,plain,
% 7.22/4.98      (~v100(constB21)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2631, 2630, 2613])).
% 7.22/4.98  tff(2633,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2634,plain,
% 7.22/4.98      ((v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))) <=> (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2635,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))))),
% 7.22/4.98      inference(monotonicity,[status(thm)],[2634])).
% 7.22/4.98  tff(2636,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 7.22/4.98      inference(transitivity,[status(thm)],[2635, 2633])).
% 7.22/4.98  tff(2637,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2638,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2637, 2636])).
% 7.22/4.98  tff(2639,plain,
% 7.22/4.98      (v100(constB21) | (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2638, 2609, 644])).
% 7.22/4.98  tff(2640,plain,
% 7.22/4.98      (~(((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2639, 2632])).
% 7.22/4.98  tff(2641,plain,
% 7.22/4.98      ((((~v90(constB21, 1)) <=> v90(constB20, 1)) | ((~v90(constB21, 2)) <=> v90(constB20, 2)) | ((~v90(constB21, 0)) <=> v90(constB20, 0))) | (~((~v90(constB21, 2)) <=> v90(constB20, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2642,plain,
% 7.22/4.98      (~((~v90(constB21, 2)) <=> v90(constB20, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2641, 2640])).
% 7.22/4.98  tff(2643,plain,
% 7.22/4.98      (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2644,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 7.22/4.98  tff(2645,plain,
% 7.22/4.98      (nextState(constB19, constB20)),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2644, 2643])).
% 7.22/4.98  tff(2646,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2647,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2648,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2647, 2646])).
% 7.22/4.98  tff(2649,plain,
% 7.22/4.98      (~(((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2648, 2645, 667])).
% 7.22/4.98  tff(2650,plain,
% 7.22/4.98      ((((~v129(constB20, 2)) <=> v127(constB19, 2)) | ((~v129(constB20, 1)) <=> v127(constB19, 1)) | ((~v129(constB20, 0)) <=> v127(constB19, 0))) | (~((~v129(constB20, 2)) <=> v127(constB19, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2651,plain,
% 7.22/4.98      (~((~v129(constB20, 2)) <=> v127(constB19, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2650, 2649])).
% 7.22/4.98  tff(2652,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2653,plain,
% 7.22/4.98      (v111(constB19) <=> v26(constB19)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2652, 686])).
% 7.22/4.98  tff(2654,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2655,plain,
% 7.22/4.98      (~v26(constB19)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2654, 698])).
% 7.22/4.98  tff(2656,plain,
% 7.22/4.98      ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2657,plain,
% 7.22/4.98      ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2656, 2655])).
% 7.22/4.98  tff(2658,plain,
% 7.22/4.98      (~v111(constB19)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2657, 2653])).
% 7.22/4.98  tff(2659,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2660,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2661,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2660, 2659])).
% 7.22/4.98  tff(2662,plain,
% 7.22/4.98      (v111(constB19) | (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2661, 716])).
% 7.22/4.98  tff(2663,plain,
% 7.22/4.98      (~(((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2662, 2658])).
% 7.22/4.98  tff(2664,plain,
% 7.22/4.98      ((((~v127(constB19, 2)) <=> v130(constB19, 2)) | ((~v127(constB19, 1)) <=> v130(constB19, 1)) | ((~v127(constB19, 0)) <=> v130(constB19, 0))) | (~((~v127(constB19, 2)) <=> v130(constB19, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2665,plain,
% 7.22/4.98      (~((~v127(constB19, 2)) <=> v130(constB19, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2664, 2663])).
% 7.22/4.98  tff(2666,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0))))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2667,plain,
% 7.22/4.98      ((v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 0)) | (~v90(constB19, 1))))) <=> (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2668,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 0)) | (~v90(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0))))))),
% 7.22/4.98      inference(monotonicity,[status(thm)],[2667])).
% 7.22/4.98  tff(2669,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 0)) | (~v90(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0))))))),
% 7.22/4.98      inference(transitivity,[status(thm)],[2668, 2666])).
% 7.22/4.98  tff(2670,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 0)) | (~v90(constB19, 1)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2671,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0)))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2670, 2669])).
% 7.22/4.98  tff(2672,plain,
% 7.22/4.98      (v122(constB19) <=> (~(v90(constB19, 2) | (~v90(constB19, 1)) | (~v90(constB19, 0))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2671, 1121])).
% 7.22/4.98  tff(2673,plain,
% 7.22/4.98      (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2674,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 7.22/4.98  tff(2675,plain,
% 7.22/4.98      (nextState(constB18, constB19)),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2674, 2673])).
% 7.22/4.98  tff(2676,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2677,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2678,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2677, 2676])).
% 7.22/4.98  tff(2679,plain,
% 7.22/4.98      (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2678, 2675, 595])).
% 7.22/4.98  tff(2680,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2681,plain,
% 7.22/4.98      (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2682,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))))),
% 7.22/4.98      inference(monotonicity,[status(thm)],[2681])).
% 7.22/4.98  tff(2683,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 7.22/4.98      inference(transitivity,[status(thm)],[2682, 2680])).
% 7.22/4.98  tff(2684,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2685,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2684, 2683])).
% 7.22/4.98  tff(2686,plain,
% 7.22/4.98      (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2685, 2675, 615])).
% 7.22/4.98  tff(2687,plain,
% 7.22/4.98      ((~v1(constB19)) <=> (~v1(constB19))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2688,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 7.22/4.98  tff(2689,plain,
% 7.22/4.98      (~v1(constB19)),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2688, 2687])).
% 7.22/4.98  tff(2690,plain,
% 7.22/4.98      (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2691,plain,
% 7.22/4.98      ((~v1(constB19)) | (~v102(constB19))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2690, 2689])).
% 7.22/4.98  tff(2692,plain,
% 7.22/4.98      ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2693,plain,
% 7.22/4.98      ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2692, 2691])).
% 7.22/4.98  tff(2694,plain,
% 7.22/4.98      (~v101(constB19)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2693, 2686])).
% 7.22/4.98  tff(2695,plain,
% 7.22/4.98      (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2696,plain,
% 7.22/4.98      ((~v101(constB19)) | (~v110(constB19))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2695, 2694])).
% 7.22/4.98  tff(2697,plain,
% 7.22/4.98      ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2698,plain,
% 7.22/4.98      (~v100(constB19)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2697, 2696, 2679])).
% 7.22/4.98  tff(2699,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2700,plain,
% 7.22/4.98      ((v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))) <=> (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2701,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))))),
% 7.22/4.98      inference(monotonicity,[status(thm)],[2700])).
% 7.22/4.98  tff(2702,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 7.22/4.98      inference(transitivity,[status(thm)],[2701, 2699])).
% 7.22/4.98  tff(2703,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2704,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2703, 2702])).
% 7.22/4.98  tff(2705,plain,
% 7.22/4.98      (v100(constB19) | (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2704, 2675, 644])).
% 7.22/4.98  tff(2706,plain,
% 7.22/4.98      (~(((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2705, 2698])).
% 7.22/4.98  tff(2707,plain,
% 7.22/4.98      ((((~v90(constB19, 1)) <=> v90(constB18, 1)) | ((~v90(constB19, 2)) <=> v90(constB18, 2)) | ((~v90(constB19, 0)) <=> v90(constB18, 0))) | (~((~v90(constB19, 2)) <=> v90(constB18, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2708,plain,
% 7.22/4.98      (~((~v90(constB19, 2)) <=> v90(constB18, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2707, 2706])).
% 7.22/4.98  tff(2709,plain,
% 7.22/4.98      (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2710,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 7.22/4.98  tff(2711,plain,
% 7.22/4.98      (nextState(constB17, constB18)),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2710, 2709])).
% 7.22/4.98  tff(2712,plain,
% 7.22/4.98      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2713,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2714,plain,
% 7.22/4.98      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2713, 2712])).
% 7.22/4.98  tff(2715,plain,
% 7.22/4.98      (~(((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2714, 2711, 667])).
% 7.22/4.98  tff(2716,plain,
% 7.22/4.98      ((((~v129(constB18, 2)) <=> v127(constB17, 2)) | ((~v129(constB18, 1)) <=> v127(constB17, 1)) | ((~v129(constB18, 0)) <=> v127(constB17, 0))) | (~((~v129(constB18, 2)) <=> v127(constB17, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2717,plain,
% 7.22/4.98      (~((~v129(constB18, 2)) <=> v127(constB17, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2716, 2715])).
% 7.22/4.98  tff(2718,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2719,plain,
% 7.22/4.98      (v111(constB17) <=> v26(constB17)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2718, 686])).
% 7.22/4.98  tff(2720,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2721,plain,
% 7.22/4.98      (~v26(constB17)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2720, 698])).
% 7.22/4.98  tff(2722,plain,
% 7.22/4.98      ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2723,plain,
% 7.22/4.98      ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2722, 2721])).
% 7.22/4.98  tff(2724,plain,
% 7.22/4.98      (~v111(constB17)),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2723, 2719])).
% 7.22/4.98  tff(2725,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2726,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))))),
% 7.22/4.98      inference(quant_inst,[status(thm)],[])).
% 7.22/4.98  tff(2727,plain,
% 7.22/4.98      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))))),
% 7.22/4.98      inference(modus_ponens,[status(thm)],[2726, 2725])).
% 7.22/4.98  tff(2728,plain,
% 7.22/4.98      (v111(constB17) | (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2727, 716])).
% 7.22/4.98  tff(2729,plain,
% 7.22/4.98      (~(((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0)))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2728, 2724])).
% 7.22/4.98  tff(2730,plain,
% 7.22/4.98      ((((~v127(constB17, 2)) <=> v130(constB17, 2)) | ((~v127(constB17, 1)) <=> v130(constB17, 1)) | ((~v127(constB17, 0)) <=> v130(constB17, 0))) | (~((~v127(constB17, 2)) <=> v130(constB17, 2)))),
% 7.22/4.98      inference(tautology,[status(thm)],[])).
% 7.22/4.98  tff(2731,plain,
% 7.22/4.98      (~((~v127(constB17, 2)) <=> v130(constB17, 2))),
% 7.22/4.98      inference(unit_resolution,[status(thm)],[2730, 2729])).
% 7.22/4.98  tff(2732,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1))))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2733,plain,
% 7.22/4.98      ((v121(constB17) <=> (~(v90(constB17, 0) | v90(constB17, 2) | (~v90(constB17, 1))))) <=> (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1)))))),
% 7.22/4.98      inference(rewrite,[status(thm)],[])).
% 7.22/4.98  tff(2734,plain,
% 7.22/4.98      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 0) | v90(constB17, 2) | (~v90(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1))))))),
% 7.22/4.99      inference(monotonicity,[status(thm)],[2733])).
% 7.22/4.99  tff(2735,plain,
% 7.22/4.99      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 0) | v90(constB17, 2) | (~v90(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1))))))),
% 7.22/4.99      inference(transitivity,[status(thm)],[2734, 2732])).
% 7.22/4.99  tff(2736,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 0) | v90(constB17, 2) | (~v90(constB17, 1)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2737,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1)))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2736, 2735])).
% 7.22/4.99  tff(2738,plain,
% 7.22/4.99      (v121(constB17) <=> (~(v90(constB17, 2) | v90(constB17, 0) | (~v90(constB17, 1))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2737, 736])).
% 7.22/4.99  tff(2739,plain,
% 7.22/4.99      (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2740,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 7.22/4.99  tff(2741,plain,
% 7.22/4.99      (nextState(constB16, constB17)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2740, 2739])).
% 7.22/4.99  tff(2742,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2743,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2744,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2743, 2742])).
% 7.22/4.99  tff(2745,plain,
% 7.22/4.99      (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2744, 2741, 595])).
% 7.22/4.99  tff(2746,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2747,plain,
% 7.22/4.99      (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2748,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))))),
% 7.22/4.99      inference(monotonicity,[status(thm)],[2747])).
% 7.22/4.99  tff(2749,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 7.22/4.99      inference(transitivity,[status(thm)],[2748, 2746])).
% 7.22/4.99  tff(2750,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2751,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2750, 2749])).
% 7.22/4.99  tff(2752,plain,
% 7.22/4.99      (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2751, 2741, 615])).
% 7.22/4.99  tff(2753,plain,
% 7.22/4.99      ((~v1(constB17)) <=> (~v1(constB17))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2754,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 7.22/4.99  tff(2755,plain,
% 7.22/4.99      (~v1(constB17)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2754, 2753])).
% 7.22/4.99  tff(2756,plain,
% 7.22/4.99      (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2757,plain,
% 7.22/4.99      ((~v1(constB17)) | (~v102(constB17))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2756, 2755])).
% 7.22/4.99  tff(2758,plain,
% 7.22/4.99      ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2759,plain,
% 7.22/4.99      ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2758, 2757])).
% 7.22/4.99  tff(2760,plain,
% 7.22/4.99      (~v101(constB17)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2759, 2752])).
% 7.22/4.99  tff(2761,plain,
% 7.22/4.99      (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2762,plain,
% 7.22/4.99      ((~v101(constB17)) | (~v110(constB17))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2761, 2760])).
% 7.22/4.99  tff(2763,plain,
% 7.22/4.99      ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2764,plain,
% 7.22/4.99      (~v100(constB17)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2763, 2762, 2745])).
% 7.22/4.99  tff(2765,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2766,plain,
% 7.22/4.99      ((v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))) <=> (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2767,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))))),
% 7.22/4.99      inference(monotonicity,[status(thm)],[2766])).
% 7.22/4.99  tff(2768,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 7.22/4.99      inference(transitivity,[status(thm)],[2767, 2765])).
% 7.22/4.99  tff(2769,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2770,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2769, 2768])).
% 7.22/4.99  tff(2771,plain,
% 7.22/4.99      (v100(constB17) | (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2770, 2741, 644])).
% 7.22/4.99  tff(2772,plain,
% 7.22/4.99      (~(((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2771, 2764])).
% 7.22/4.99  tff(2773,plain,
% 7.22/4.99      ((((~v90(constB17, 1)) <=> v90(constB16, 1)) | ((~v90(constB17, 2)) <=> v90(constB16, 2)) | ((~v90(constB17, 0)) <=> v90(constB16, 0))) | (~((~v90(constB17, 2)) <=> v90(constB16, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2774,plain,
% 7.22/4.99      (~((~v90(constB17, 2)) <=> v90(constB16, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2773, 2772])).
% 7.22/4.99  tff(2775,plain,
% 7.22/4.99      (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2776,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 7.22/4.99  tff(2777,plain,
% 7.22/4.99      (nextState(constB15, constB16)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2776, 2775])).
% 7.22/4.99  tff(2778,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2779,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2780,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2779, 2778])).
% 7.22/4.99  tff(2781,plain,
% 7.22/4.99      (~(((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2780, 2777, 667])).
% 7.22/4.99  tff(2782,plain,
% 7.22/4.99      ((((~v129(constB16, 2)) <=> v127(constB15, 2)) | ((~v129(constB16, 1)) <=> v127(constB15, 1)) | ((~v129(constB16, 0)) <=> v127(constB15, 0))) | (~((~v129(constB16, 2)) <=> v127(constB15, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2783,plain,
% 7.22/4.99      (~((~v129(constB16, 2)) <=> v127(constB15, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2782, 2781])).
% 7.22/4.99  tff(2784,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2785,plain,
% 7.22/4.99      (v111(constB15) <=> v26(constB15)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2784, 686])).
% 7.22/4.99  tff(2786,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2787,plain,
% 7.22/4.99      (~v26(constB15)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2786, 698])).
% 7.22/4.99  tff(2788,plain,
% 7.22/4.99      ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2789,plain,
% 7.22/4.99      ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2788, 2787])).
% 7.22/4.99  tff(2790,plain,
% 7.22/4.99      (~v111(constB15)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2789, 2785])).
% 7.22/4.99  tff(2791,plain,
% 7.22/4.99      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2792,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2793,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2792, 2791])).
% 7.22/4.99  tff(2794,plain,
% 7.22/4.99      (v111(constB15) | (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2793, 716])).
% 7.22/4.99  tff(2795,plain,
% 7.22/4.99      (~(((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2794, 2790])).
% 7.22/4.99  tff(2796,plain,
% 7.22/4.99      ((((~v127(constB15, 2)) <=> v130(constB15, 2)) | ((~v127(constB15, 1)) <=> v130(constB15, 1)) | ((~v127(constB15, 0)) <=> v130(constB15, 0))) | (~((~v127(constB15, 2)) <=> v130(constB15, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2797,plain,
% 7.22/4.99      (~((~v127(constB15, 2)) <=> v130(constB15, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2796, 2795])).
% 7.22/4.99  tff(2798,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v120(VarCurr) <=> (~(v90(VarCurr, 1) | v90(VarCurr, 2) | (~v90(VarCurr, 0)))))) | (v120(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2799,plain,
% 7.22/4.99      (v120(constB15) <=> (~(v90(constB15, 1) | v90(constB15, 2) | (~v90(constB15, 0))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2798, 815])).
% 7.22/4.99  tff(2800,plain,
% 7.22/4.99      (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2801,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 7.22/4.99  tff(2802,plain,
% 7.22/4.99      (nextState(constB14, constB15)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2801, 2800])).
% 7.22/4.99  tff(2803,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2804,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2805,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2804, 2803])).
% 7.22/4.99  tff(2806,plain,
% 7.22/4.99      (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2805, 2802, 595])).
% 7.22/4.99  tff(2807,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2808,plain,
% 7.22/4.99      (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2809,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))))),
% 7.22/4.99      inference(monotonicity,[status(thm)],[2808])).
% 7.22/4.99  tff(2810,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 7.22/4.99      inference(transitivity,[status(thm)],[2809, 2807])).
% 7.22/4.99  tff(2811,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2812,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2811, 2810])).
% 7.22/4.99  tff(2813,plain,
% 7.22/4.99      (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2812, 2802, 615])).
% 7.22/4.99  tff(2814,plain,
% 7.22/4.99      ((~v1(constB15)) <=> (~v1(constB15))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2815,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 7.22/4.99  tff(2816,plain,
% 7.22/4.99      (~v1(constB15)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2815, 2814])).
% 7.22/4.99  tff(2817,plain,
% 7.22/4.99      (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2818,plain,
% 7.22/4.99      ((~v1(constB15)) | (~v102(constB15))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2817, 2816])).
% 7.22/4.99  tff(2819,plain,
% 7.22/4.99      ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2820,plain,
% 7.22/4.99      ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2819, 2818])).
% 7.22/4.99  tff(2821,plain,
% 7.22/4.99      (~v101(constB15)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2820, 2813])).
% 7.22/4.99  tff(2822,plain,
% 7.22/4.99      (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2823,plain,
% 7.22/4.99      ((~v101(constB15)) | (~v110(constB15))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2822, 2821])).
% 7.22/4.99  tff(2824,plain,
% 7.22/4.99      ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2825,plain,
% 7.22/4.99      (~v100(constB15)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2824, 2823, 2806])).
% 7.22/4.99  tff(2826,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2827,plain,
% 7.22/4.99      ((v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))) <=> (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2828,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))))),
% 7.22/4.99      inference(monotonicity,[status(thm)],[2827])).
% 7.22/4.99  tff(2829,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 7.22/4.99      inference(transitivity,[status(thm)],[2828, 2826])).
% 7.22/4.99  tff(2830,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2831,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2830, 2829])).
% 7.22/4.99  tff(2832,plain,
% 7.22/4.99      (v100(constB15) | (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2831, 2802, 644])).
% 7.22/4.99  tff(2833,plain,
% 7.22/4.99      (~(((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2832, 2825])).
% 7.22/4.99  tff(2834,plain,
% 7.22/4.99      ((((~v90(constB15, 1)) <=> v90(constB14, 1)) | ((~v90(constB15, 2)) <=> v90(constB14, 2)) | ((~v90(constB15, 0)) <=> v90(constB14, 0))) | (~((~v90(constB15, 2)) <=> v90(constB14, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2835,plain,
% 7.22/4.99      (~((~v90(constB15, 2)) <=> v90(constB14, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2834, 2833])).
% 7.22/4.99  tff(2836,plain,
% 7.22/4.99      (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2837,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 7.22/4.99  tff(2838,plain,
% 7.22/4.99      (nextState(constB13, constB14)),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2837, 2836])).
% 7.22/4.99  tff(2839,plain,
% 7.22/4.99      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2840,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2841,plain,
% 7.22/4.99      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2840, 2839])).
% 7.22/4.99  tff(2842,plain,
% 7.22/4.99      (~(((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2841, 2838, 667])).
% 7.22/4.99  tff(2843,plain,
% 7.22/4.99      ((((~v129(constB14, 2)) <=> v127(constB13, 2)) | ((~v129(constB14, 1)) <=> v127(constB13, 1)) | ((~v129(constB14, 0)) <=> v127(constB13, 0))) | (~((~v129(constB14, 2)) <=> v127(constB13, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2844,plain,
% 7.22/4.99      (~((~v129(constB14, 2)) <=> v127(constB13, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2843, 2842])).
% 7.22/4.99  tff(2845,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2846,plain,
% 7.22/4.99      (v111(constB13) <=> v26(constB13)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2845, 686])).
% 7.22/4.99  tff(2847,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2848,plain,
% 7.22/4.99      (~v26(constB13)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2847, 698])).
% 7.22/4.99  tff(2849,plain,
% 7.22/4.99      ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2850,plain,
% 7.22/4.99      ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2849, 2848])).
% 7.22/4.99  tff(2851,plain,
% 7.22/4.99      (~v111(constB13)),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2850, 2846])).
% 7.22/4.99  tff(2852,plain,
% 7.22/4.99      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))),
% 7.22/4.99      inference(rewrite,[status(thm)],[])).
% 7.22/4.99  tff(2853,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/4.99  tff(2854,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))))),
% 7.22/4.99      inference(modus_ponens,[status(thm)],[2853, 2852])).
% 7.22/4.99  tff(2855,plain,
% 7.22/4.99      (v111(constB13) | (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2854, 716])).
% 7.22/4.99  tff(2856,plain,
% 7.22/4.99      (~(((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0)))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2855, 2851])).
% 7.22/4.99  tff(2857,plain,
% 7.22/4.99      ((((~v127(constB13, 2)) <=> v130(constB13, 2)) | ((~v127(constB13, 1)) <=> v130(constB13, 1)) | ((~v127(constB13, 0)) <=> v130(constB13, 0))) | (~((~v127(constB13, 2)) <=> v130(constB13, 2)))),
% 7.22/4.99      inference(tautology,[status(thm)],[])).
% 7.22/4.99  tff(2858,plain,
% 7.22/4.99      (~((~v127(constB13, 2)) <=> v130(constB13, 2))),
% 7.22/4.99      inference(unit_resolution,[status(thm)],[2857, 2856])).
% 7.22/4.99  tff(2859,plain,
% 7.22/4.99      ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))))) | (v119(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2))))),
% 7.22/4.99      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2860,plain,
% 7.22/5.00      (v119(constB13) <=> (~(v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2859, 889])).
% 7.22/5.00  tff(2861,plain,
% 7.22/5.00      (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2862,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 7.22/5.00  tff(2863,plain,
% 7.22/5.00      (nextState(constB12, constB13)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2862, 2861])).
% 7.22/5.00  tff(2864,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2865,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2866,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2865, 2864])).
% 7.22/5.00  tff(2867,plain,
% 7.22/5.00      (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2866, 2863, 595])).
% 7.22/5.00  tff(2868,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2869,plain,
% 7.22/5.00      (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2870,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))))),
% 7.22/5.00      inference(monotonicity,[status(thm)],[2869])).
% 7.22/5.00  tff(2871,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 7.22/5.00      inference(transitivity,[status(thm)],[2870, 2868])).
% 7.22/5.00  tff(2872,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2873,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2872, 2871])).
% 7.22/5.00  tff(2874,plain,
% 7.22/5.00      (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2873, 2863, 615])).
% 7.22/5.00  tff(2875,plain,
% 7.22/5.00      ((~v1(constB13)) <=> (~v1(constB13))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2876,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 7.22/5.00  tff(2877,plain,
% 7.22/5.00      (~v1(constB13)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2876, 2875])).
% 7.22/5.00  tff(2878,plain,
% 7.22/5.00      (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2879,plain,
% 7.22/5.00      ((~v1(constB13)) | (~v102(constB13))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2878, 2877])).
% 7.22/5.00  tff(2880,plain,
% 7.22/5.00      ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2881,plain,
% 7.22/5.00      ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2880, 2879])).
% 7.22/5.00  tff(2882,plain,
% 7.22/5.00      (~v101(constB13)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2881, 2874])).
% 7.22/5.00  tff(2883,plain,
% 7.22/5.00      (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2884,plain,
% 7.22/5.00      ((~v101(constB13)) | (~v110(constB13))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2883, 2882])).
% 7.22/5.00  tff(2885,plain,
% 7.22/5.00      ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2886,plain,
% 7.22/5.00      (~v100(constB13)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2885, 2884, 2867])).
% 7.22/5.00  tff(2887,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2888,plain,
% 7.22/5.00      ((v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))) <=> (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2889,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))))),
% 7.22/5.00      inference(monotonicity,[status(thm)],[2888])).
% 7.22/5.00  tff(2890,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 7.22/5.00      inference(transitivity,[status(thm)],[2889, 2887])).
% 7.22/5.00  tff(2891,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2892,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2891, 2890])).
% 7.22/5.00  tff(2893,plain,
% 7.22/5.00      (v100(constB13) | (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2892, 2863, 644])).
% 7.22/5.00  tff(2894,plain,
% 7.22/5.00      (~(((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2893, 2886])).
% 7.22/5.00  tff(2895,plain,
% 7.22/5.00      ((((~v90(constB13, 1)) <=> v90(constB12, 1)) | ((~v90(constB13, 2)) <=> v90(constB12, 2)) | ((~v90(constB13, 0)) <=> v90(constB12, 0))) | (~((~v90(constB13, 2)) <=> v90(constB12, 2)))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2896,plain,
% 7.22/5.00      (~((~v90(constB13, 2)) <=> v90(constB12, 2))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2895, 2894])).
% 7.22/5.00  tff(2897,plain,
% 7.22/5.00      (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2898,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 7.22/5.00  tff(2899,plain,
% 7.22/5.00      (nextState(constB11, constB12)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2898, 2897])).
% 7.22/5.00  tff(2900,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2901,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2902,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2901, 2900])).
% 7.22/5.00  tff(2903,plain,
% 7.22/5.00      (~(((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2902, 2899, 667])).
% 7.22/5.00  tff(2904,plain,
% 7.22/5.00      ((((~v129(constB12, 2)) <=> v127(constB11, 2)) | ((~v129(constB12, 1)) <=> v127(constB11, 1)) | ((~v129(constB12, 0)) <=> v127(constB11, 0))) | (~((~v129(constB12, 2)) <=> v127(constB11, 2)))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2905,plain,
% 7.22/5.00      (~((~v129(constB12, 2)) <=> v127(constB11, 2))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2904, 2903])).
% 7.22/5.00  tff(2906,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2907,plain,
% 7.22/5.00      (v111(constB11) <=> v26(constB11)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2906, 686])).
% 7.22/5.00  tff(2908,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2909,plain,
% 7.22/5.00      (~v26(constB11)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2908, 698])).
% 7.22/5.00  tff(2910,plain,
% 7.22/5.00      ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2911,plain,
% 7.22/5.00      ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2910, 2909])).
% 7.22/5.00  tff(2912,plain,
% 7.22/5.00      (~v111(constB11)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2911, 2907])).
% 7.22/5.00  tff(2913,plain,
% 7.22/5.00      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2914,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2915,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2914, 2913])).
% 7.22/5.00  tff(2916,plain,
% 7.22/5.00      (v111(constB11) | (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2915, 716])).
% 7.22/5.00  tff(2917,plain,
% 7.22/5.00      (~(((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2916, 2912])).
% 7.22/5.00  tff(2918,plain,
% 7.22/5.00      ((((~v127(constB11, 2)) <=> v130(constB11, 2)) | ((~v127(constB11, 1)) <=> v130(constB11, 1)) | ((~v127(constB11, 0)) <=> v130(constB11, 0))) | (~((~v127(constB11, 2)) <=> v130(constB11, 2)))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2919,plain,
% 7.22/5.00      (~((~v127(constB11, 2)) <=> v130(constB11, 2))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2918, 2917])).
% 7.22/5.00  tff(2920,plain,
% 7.22/5.00      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2921,plain,
% 7.22/5.00      ((v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 0)) | (~v90(constB11, 2))))) <=> (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2922,plain,
% 7.22/5.00      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 0)) | (~v90(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0))))))),
% 7.22/5.00      inference(monotonicity,[status(thm)],[2921])).
% 7.22/5.00  tff(2923,plain,
% 7.22/5.00      (((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 0)) | (~v90(constB11, 2)))))) <=> ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0))))))),
% 7.22/5.00      inference(transitivity,[status(thm)],[2922, 2920])).
% 7.22/5.00  tff(2924,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 0)) | (~v90(constB11, 2)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2925,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v124(VarCurr) <=> (~(v90(VarCurr, 1) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 2)))))) | (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0)))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2924, 2923])).
% 7.22/5.00  tff(2926,plain,
% 7.22/5.00      (v124(constB11) <=> (~(v90(constB11, 1) | (~v90(constB11, 2)) | (~v90(constB11, 0))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2925, 963])).
% 7.22/5.00  tff(2927,plain,
% 7.22/5.00      (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2928,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 7.22/5.00  tff(2929,plain,
% 7.22/5.00      (nextState(constB10, constB11)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2928, 2927])).
% 7.22/5.00  tff(2930,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2931,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2932,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2931, 2930])).
% 7.22/5.00  tff(2933,plain,
% 7.22/5.00      (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2932, 2929, 595])).
% 7.22/5.00  tff(2934,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2935,plain,
% 7.22/5.00      (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2936,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))))),
% 7.22/5.00      inference(monotonicity,[status(thm)],[2935])).
% 7.22/5.00  tff(2937,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 7.22/5.00      inference(transitivity,[status(thm)],[2936, 2934])).
% 7.22/5.00  tff(2938,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2939,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2938, 2937])).
% 7.22/5.00  tff(2940,plain,
% 7.22/5.00      (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2939, 2929, 615])).
% 7.22/5.00  tff(2941,plain,
% 7.22/5.00      ((~v1(constB11)) <=> (~v1(constB11))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2942,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 7.22/5.00  tff(2943,plain,
% 7.22/5.00      (~v1(constB11)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2942, 2941])).
% 7.22/5.00  tff(2944,plain,
% 7.22/5.00      (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2945,plain,
% 7.22/5.00      ((~v1(constB11)) | (~v102(constB11))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2944, 2943])).
% 7.22/5.00  tff(2946,plain,
% 7.22/5.00      ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2947,plain,
% 7.22/5.00      ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2946, 2945])).
% 7.22/5.00  tff(2948,plain,
% 7.22/5.00      (~v101(constB11)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2947, 2940])).
% 7.22/5.00  tff(2949,plain,
% 7.22/5.00      (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2950,plain,
% 7.22/5.00      ((~v101(constB11)) | (~v110(constB11))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2949, 2948])).
% 7.22/5.00  tff(2951,plain,
% 7.22/5.00      ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2952,plain,
% 7.22/5.00      (~v100(constB11)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2951, 2950, 2933])).
% 7.22/5.00  tff(2953,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2954,plain,
% 7.22/5.00      ((v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))) <=> (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2955,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))))),
% 7.22/5.00      inference(monotonicity,[status(thm)],[2954])).
% 7.22/5.00  tff(2956,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 7.22/5.00      inference(transitivity,[status(thm)],[2955, 2953])).
% 7.22/5.00  tff(2957,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2958,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2957, 2956])).
% 7.22/5.00  tff(2959,plain,
% 7.22/5.00      (v100(constB11) | (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2958, 2929, 644])).
% 7.22/5.00  tff(2960,plain,
% 7.22/5.00      (~(((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2959, 2952])).
% 7.22/5.00  tff(2961,plain,
% 7.22/5.00      ((((~v90(constB11, 1)) <=> v90(constB10, 1)) | ((~v90(constB11, 2)) <=> v90(constB10, 2)) | ((~v90(constB11, 0)) <=> v90(constB10, 0))) | (~((~v90(constB11, 2)) <=> v90(constB10, 2)))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2962,plain,
% 7.22/5.00      (~((~v90(constB11, 2)) <=> v90(constB10, 2))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2961, 2960])).
% 7.22/5.00  tff(2963,plain,
% 7.22/5.00      (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2964,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 7.22/5.00  tff(2965,plain,
% 7.22/5.00      (nextState(constB9, constB10)),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2964, 2963])).
% 7.22/5.00  tff(2966,plain,
% 7.22/5.00      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2967,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2968,plain,
% 7.22/5.00      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2967, 2966])).
% 7.22/5.00  tff(2969,plain,
% 7.22/5.00      (~(((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2968, 2965, 667])).
% 7.22/5.00  tff(2970,plain,
% 7.22/5.00      ((((~v129(constB10, 2)) <=> v127(constB9, 2)) | ((~v129(constB10, 1)) <=> v127(constB9, 1)) | ((~v129(constB10, 0)) <=> v127(constB9, 0))) | (~((~v129(constB10, 2)) <=> v127(constB9, 2)))),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2971,plain,
% 7.22/5.00      (~((~v129(constB10, 2)) <=> v127(constB9, 2))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2970, 2969])).
% 7.22/5.00  tff(2972,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2973,plain,
% 7.22/5.00      (v111(constB9) <=> v26(constB9)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2972, 686])).
% 7.22/5.00  tff(2974,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2975,plain,
% 7.22/5.00      (~v26(constB9)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2974, 698])).
% 7.22/5.00  tff(2976,plain,
% 7.22/5.00      ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 7.22/5.00      inference(tautology,[status(thm)],[])).
% 7.22/5.00  tff(2977,plain,
% 7.22/5.00      ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2976, 2975])).
% 7.22/5.00  tff(2978,plain,
% 7.22/5.00      (~v111(constB9)),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2977, 2973])).
% 7.22/5.00  tff(2979,plain,
% 7.22/5.00      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))),
% 7.22/5.00      inference(rewrite,[status(thm)],[])).
% 7.22/5.00  tff(2980,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))))),
% 7.22/5.00      inference(quant_inst,[status(thm)],[])).
% 7.22/5.00  tff(2981,plain,
% 7.22/5.00      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))))),
% 7.22/5.00      inference(modus_ponens,[status(thm)],[2980, 2979])).
% 7.22/5.00  tff(2982,plain,
% 7.22/5.00      (v111(constB9) | (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2981, 716])).
% 7.22/5.00  tff(2983,plain,
% 7.22/5.00      (~(((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0)))),
% 7.22/5.00      inference(unit_resolution,[status(thm)],[2982, 2978])).
% 7.22/5.00  tff(2984,plain,
% 7.22/5.00      ((((~v127(constB9, 2)) <=> v130(constB9, 2)) | ((~v127(constB9, 1)) <=> v130(constB9, 1)) | ((~v127(constB9, 0)) <=> v130(constB9, 0))) | (~((~v127(constB9, 2)) <=> v130(constB9, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(2985,plain,
% 7.22/5.01      (~((~v127(constB9, 2)) <=> v130(constB9, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[2984, 2983])).
% 7.22/5.01  tff(2986,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(2987,plain,
% 7.22/5.01      ((v123(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2))))) <=> (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(2988,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[2987])).
% 7.22/5.01  tff(2989,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)))))) <=> ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2))))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[2988, 2986])).
% 7.22/5.01  tff(2990,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(2991,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v123(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))))) | (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[2990, 2989])).
% 7.22/5.01  tff(2992,plain,
% 7.22/5.01      (v123(constB9) <=> (~(v90(constB9, 1) | v90(constB9, 0) | (~v90(constB9, 2))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[2991, 1042])).
% 7.22/5.01  tff(2993,plain,
% 7.22/5.01      (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(2994,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 7.22/5.01  tff(2995,plain,
% 7.22/5.01      (nextState(constB8, constB9)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[2994, 2993])).
% 7.22/5.01  tff(2996,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(2997,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(2998,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[2997, 2996])).
% 7.22/5.01  tff(2999,plain,
% 7.22/5.01      (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[2998, 2995, 595])).
% 7.22/5.01  tff(3000,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3001,plain,
% 7.22/5.01      (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3002,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[3001])).
% 7.22/5.01  tff(3003,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[3002, 3000])).
% 7.22/5.01  tff(3004,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3005,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3004, 3003])).
% 7.22/5.01  tff(3006,plain,
% 7.22/5.01      (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3005, 2995, 615])).
% 7.22/5.01  tff(3007,plain,
% 7.22/5.01      ((~v1(constB9)) <=> (~v1(constB9))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3008,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 7.22/5.01  tff(3009,plain,
% 7.22/5.01      (~v1(constB9)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3008, 3007])).
% 7.22/5.01  tff(3010,plain,
% 7.22/5.01      (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3011,plain,
% 7.22/5.01      ((~v1(constB9)) | (~v102(constB9))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3010, 3009])).
% 7.22/5.01  tff(3012,plain,
% 7.22/5.01      ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3013,plain,
% 7.22/5.01      ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3012, 3011])).
% 7.22/5.01  tff(3014,plain,
% 7.22/5.01      (~v101(constB9)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3013, 3006])).
% 7.22/5.01  tff(3015,plain,
% 7.22/5.01      (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3016,plain,
% 7.22/5.01      ((~v101(constB9)) | (~v110(constB9))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3015, 3014])).
% 7.22/5.01  tff(3017,plain,
% 7.22/5.01      ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3018,plain,
% 7.22/5.01      (~v100(constB9)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3017, 3016, 2999])).
% 7.22/5.01  tff(3019,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3020,plain,
% 7.22/5.01      ((v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))) <=> (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3021,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[3020])).
% 7.22/5.01  tff(3022,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[3021, 3019])).
% 7.22/5.01  tff(3023,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3024,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3023, 3022])).
% 7.22/5.01  tff(3025,plain,
% 7.22/5.01      (v100(constB9) | (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3024, 2995, 644])).
% 7.22/5.01  tff(3026,plain,
% 7.22/5.01      (~(((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0)))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3025, 3018])).
% 7.22/5.01  tff(3027,plain,
% 7.22/5.01      ((((~v90(constB9, 1)) <=> v90(constB8, 1)) | ((~v90(constB9, 2)) <=> v90(constB8, 2)) | ((~v90(constB9, 0)) <=> v90(constB8, 0))) | (~((~v90(constB9, 2)) <=> v90(constB8, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3028,plain,
% 7.22/5.01      (~((~v90(constB9, 2)) <=> v90(constB8, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3027, 3026])).
% 7.22/5.01  tff(3029,plain,
% 7.22/5.01      (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3030,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 7.22/5.01  tff(3031,plain,
% 7.22/5.01      (nextState(constB7, constB8)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3030, 3029])).
% 7.22/5.01  tff(3032,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3033,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3034,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3033, 3032])).
% 7.22/5.01  tff(3035,plain,
% 7.22/5.01      (~(((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0)))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3034, 3031, 667])).
% 7.22/5.01  tff(3036,plain,
% 7.22/5.01      ((((~v129(constB8, 2)) <=> v127(constB7, 2)) | ((~v129(constB8, 1)) <=> v127(constB7, 1)) | ((~v129(constB8, 0)) <=> v127(constB7, 0))) | (~((~v129(constB8, 2)) <=> v127(constB7, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3037,plain,
% 7.22/5.01      (~((~v129(constB8, 2)) <=> v127(constB7, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3036, 3035])).
% 7.22/5.01  tff(3038,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3039,plain,
% 7.22/5.01      (v111(constB7) <=> v26(constB7)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3038, 686])).
% 7.22/5.01  tff(3040,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3041,plain,
% 7.22/5.01      (~v26(constB7)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3040, 698])).
% 7.22/5.01  tff(3042,plain,
% 7.22/5.01      ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3043,plain,
% 7.22/5.01      ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3042, 3041])).
% 7.22/5.01  tff(3044,plain,
% 7.22/5.01      (~v111(constB7)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3043, 3039])).
% 7.22/5.01  tff(3045,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3046,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3047,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3046, 3045])).
% 7.22/5.01  tff(3048,plain,
% 7.22/5.01      (v111(constB7) | (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3047, 716])).
% 7.22/5.01  tff(3049,plain,
% 7.22/5.01      (~(((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0)))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3048, 3044])).
% 7.22/5.01  tff(3050,plain,
% 7.22/5.01      ((((~v127(constB7, 2)) <=> v130(constB7, 2)) | ((~v127(constB7, 1)) <=> v130(constB7, 1)) | ((~v127(constB7, 0)) <=> v130(constB7, 0))) | (~((~v127(constB7, 2)) <=> v130(constB7, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3051,plain,
% 7.22/5.01      (~((~v127(constB7, 2)) <=> v130(constB7, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3050, 3049])).
% 7.22/5.01  tff(3052,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3053,plain,
% 7.22/5.01      ((v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 0)) | (~v90(constB7, 1))))) <=> (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3054,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 0)) | (~v90(constB7, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[3053])).
% 7.22/5.01  tff(3055,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 0)) | (~v90(constB7, 1)))))) <=> ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0))))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[3054, 3052])).
% 7.22/5.01  tff(3056,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 0)) | (~v90(constB7, 1)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3057,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v122(VarCurr) <=> (~(v90(VarCurr, 2) | (~v90(VarCurr, 0)) | (~v90(VarCurr, 1)))))) | (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3056, 3055])).
% 7.22/5.01  tff(3058,plain,
% 7.22/5.01      (v122(constB7) <=> (~(v90(constB7, 2) | (~v90(constB7, 1)) | (~v90(constB7, 0))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3057, 1121])).
% 7.22/5.01  tff(3059,plain,
% 7.22/5.01      (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3060,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6')).
% 7.22/5.01  tff(3061,plain,
% 7.22/5.01      (nextState(constB6, constB7)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3060, 3059])).
% 7.22/5.01  tff(3062,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3063,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3064,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3063, 3062])).
% 7.22/5.01  tff(3065,plain,
% 7.22/5.01      (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3064, 3061, 595])).
% 7.22/5.01  tff(3066,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3067,plain,
% 7.22/5.01      (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3068,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[3067])).
% 7.22/5.01  tff(3069,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[3068, 3066])).
% 7.22/5.01  tff(3070,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3071,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3070, 3069])).
% 7.22/5.01  tff(3072,plain,
% 7.22/5.01      (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3071, 3061, 615])).
% 7.22/5.01  tff(3073,plain,
% 7.22/5.01      ((~v1(constB7)) <=> (~v1(constB7))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3074,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 7.22/5.01  tff(3075,plain,
% 7.22/5.01      (~v1(constB7)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3074, 3073])).
% 7.22/5.01  tff(3076,plain,
% 7.22/5.01      (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3077,plain,
% 7.22/5.01      ((~v1(constB7)) | (~v102(constB7))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3076, 3075])).
% 7.22/5.01  tff(3078,plain,
% 7.22/5.01      ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3079,plain,
% 7.22/5.01      ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3078, 3077])).
% 7.22/5.01  tff(3080,plain,
% 7.22/5.01      (~v101(constB7)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3079, 3072])).
% 7.22/5.01  tff(3081,plain,
% 7.22/5.01      (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3082,plain,
% 7.22/5.01      ((~v101(constB7)) | (~v110(constB7))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3081, 3080])).
% 7.22/5.01  tff(3083,plain,
% 7.22/5.01      ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3084,plain,
% 7.22/5.01      (~v100(constB7)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3083, 3082, 3065])).
% 7.22/5.01  tff(3085,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3086,plain,
% 7.22/5.01      ((v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))) <=> (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3087,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))))),
% 7.22/5.01      inference(monotonicity,[status(thm)],[3086])).
% 7.22/5.01  tff(3088,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 7.22/5.01      inference(transitivity,[status(thm)],[3087, 3085])).
% 7.22/5.01  tff(3089,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3090,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3089, 3088])).
% 7.22/5.01  tff(3091,plain,
% 7.22/5.01      (v100(constB7) | (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3090, 3061, 644])).
% 7.22/5.01  tff(3092,plain,
% 7.22/5.01      (~(((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0)))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3091, 3084])).
% 7.22/5.01  tff(3093,plain,
% 7.22/5.01      ((((~v90(constB7, 1)) <=> v90(constB6, 1)) | ((~v90(constB7, 2)) <=> v90(constB6, 2)) | ((~v90(constB7, 0)) <=> v90(constB6, 0))) | (~((~v90(constB7, 2)) <=> v90(constB6, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3094,plain,
% 7.22/5.01      (~((~v90(constB7, 2)) <=> v90(constB6, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3093, 3092])).
% 7.22/5.01  tff(3095,plain,
% 7.22/5.01      (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3096,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5')).
% 7.22/5.01  tff(3097,plain,
% 7.22/5.01      (nextState(constB5, constB6)),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3096, 3095])).
% 7.22/5.01  tff(3098,plain,
% 7.22/5.01      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))),
% 7.22/5.01      inference(rewrite,[status(thm)],[])).
% 7.22/5.01  tff(3099,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3100,plain,
% 7.22/5.01      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2)) <=> v127(VarCurr, 2)) | ((~v129(VarNext, 1)) <=> v127(VarCurr, 1)) | ((~v129(VarNext, 0)) <=> v127(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))))),
% 7.22/5.01      inference(modus_ponens,[status(thm)],[3099, 3098])).
% 7.22/5.01  tff(3101,plain,
% 7.22/5.01      (~(((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0)))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3100, 3097, 667])).
% 7.22/5.01  tff(3102,plain,
% 7.22/5.01      ((((~v129(constB6, 2)) <=> v127(constB5, 2)) | ((~v129(constB6, 1)) <=> v127(constB5, 1)) | ((~v129(constB6, 0)) <=> v127(constB5, 0))) | (~((~v129(constB6, 2)) <=> v127(constB5, 2)))),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3103,plain,
% 7.22/5.01      (~((~v129(constB6, 2)) <=> v127(constB5, 2))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3102, 3101])).
% 7.22/5.01  tff(3104,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3105,plain,
% 7.22/5.01      (v111(constB5) <=> v26(constB5)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3104, 686])).
% 7.22/5.01  tff(3106,plain,
% 7.22/5.01      ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 7.22/5.01      inference(quant_inst,[status(thm)],[])).
% 7.22/5.01  tff(3107,plain,
% 7.22/5.01      (~v26(constB5)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3106, 698])).
% 7.22/5.01  tff(3108,plain,
% 7.22/5.01      ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 7.22/5.01      inference(tautology,[status(thm)],[])).
% 7.22/5.01  tff(3109,plain,
% 7.22/5.01      ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3108, 3107])).
% 7.22/5.01  tff(3110,plain,
% 7.22/5.01      (~v111(constB5)),
% 7.22/5.01      inference(unit_resolution,[status(thm)],[3109, 3105])).
% 7.22/5.01  tff(3111,plain,
% 7.22/5.01      (((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3112,plain,
% 7.22/5.02      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))))),
% 7.22/5.02      inference(quant_inst,[status(thm)],[])).
% 7.22/5.02  tff(3113,plain,
% 7.22/5.02      ((~![VarCurr: state_type] : (v111(VarCurr) | (~(((~v127(VarCurr, 2)) <=> v130(VarCurr, 2)) | ((~v127(VarCurr, 1)) <=> v130(VarCurr, 1)) | ((~v127(VarCurr, 0)) <=> v130(VarCurr, 0)))))) | v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))))),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3112, 3111])).
% 7.22/5.02  tff(3114,plain,
% 7.22/5.02      (v111(constB5) | (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3113, 716])).
% 7.22/5.02  tff(3115,plain,
% 7.22/5.02      (~(((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0)))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3114, 3110])).
% 7.22/5.02  tff(3116,plain,
% 7.22/5.02      ((((~v127(constB5, 2)) <=> v130(constB5, 2)) | ((~v127(constB5, 1)) <=> v130(constB5, 1)) | ((~v127(constB5, 0)) <=> v130(constB5, 0))) | (~((~v127(constB5, 2)) <=> v130(constB5, 2)))),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3117,plain,
% 7.22/5.02      (~((~v127(constB5, 2)) <=> v130(constB5, 2))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3116, 3115])).
% 7.22/5.02  tff(3118,plain,
% 7.22/5.02      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3119,plain,
% 7.22/5.02      ((v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1))))) <=> (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3120,plain,
% 7.22/5.02      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 7.22/5.02      inference(monotonicity,[status(thm)],[3119])).
% 7.22/5.02  tff(3121,plain,
% 7.22/5.02      (((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))))),
% 7.22/5.02      inference(transitivity,[status(thm)],[3120, 3118])).
% 7.22/5.02  tff(3122,plain,
% 7.22/5.02      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 0) | v90(constB5, 2) | (~v90(constB5, 1)))))),
% 7.22/5.02      inference(quant_inst,[status(thm)],[])).
% 7.22/5.02  tff(3123,plain,
% 7.22/5.02      ((~![VarCurr: state_type] : (v121(VarCurr) <=> (~(v90(VarCurr, 0) | v90(VarCurr, 2) | (~v90(VarCurr, 1)))))) | (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1)))))),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3122, 3121])).
% 7.22/5.02  tff(3124,plain,
% 7.22/5.02      (v121(constB5) <=> (~(v90(constB5, 2) | v90(constB5, 0) | (~v90(constB5, 1))))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3123, 736])).
% 7.22/5.02  tff(3125,plain,
% 7.22/5.02      (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3126,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4')).
% 7.22/5.02  tff(3127,plain,
% 7.22/5.02      (nextState(constB4, constB5)),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3126, 3125])).
% 7.22/5.02  tff(3128,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3129,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 7.22/5.02      inference(quant_inst,[status(thm)],[])).
% 7.22/5.02  tff(3130,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3129, 3128])).
% 7.22/5.02  tff(3131,plain,
% 7.22/5.02      (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3130, 3127, 595])).
% 7.22/5.02  tff(3132,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3133,plain,
% 7.22/5.02      (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3134,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))))),
% 7.22/5.02      inference(monotonicity,[status(thm)],[3133])).
% 7.22/5.02  tff(3135,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 7.22/5.02      inference(transitivity,[status(thm)],[3134, 3132])).
% 7.22/5.02  tff(3136,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 7.22/5.02      inference(quant_inst,[status(thm)],[])).
% 7.22/5.02  tff(3137,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3136, 3135])).
% 7.22/5.02  tff(3138,plain,
% 7.22/5.02      (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3137, 3127, 615])).
% 7.22/5.02  tff(3139,plain,
% 7.22/5.02      ((~v1(constB5)) <=> (~v1(constB5))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3140,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5')).
% 7.22/5.02  tff(3141,plain,
% 7.22/5.02      (~v1(constB5)),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3140, 3139])).
% 7.22/5.02  tff(3142,plain,
% 7.22/5.02      (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3143,plain,
% 7.22/5.02      ((~v1(constB5)) | (~v102(constB5))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3142, 3141])).
% 7.22/5.02  tff(3144,plain,
% 7.22/5.02      ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3145,plain,
% 7.22/5.02      ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3144, 3143])).
% 7.22/5.02  tff(3146,plain,
% 7.22/5.02      (~v101(constB5)),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3145, 3138])).
% 7.22/5.02  tff(3147,plain,
% 7.22/5.02      (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3148,plain,
% 7.22/5.02      ((~v101(constB5)) | (~v110(constB5))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3147, 3146])).
% 7.22/5.02  tff(3149,plain,
% 7.22/5.02      ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3150,plain,
% 7.22/5.02      (~v100(constB5)),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3149, 3148, 3131])).
% 7.22/5.02  tff(3151,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3152,plain,
% 7.22/5.02      ((v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))) <=> (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3153,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))))),
% 7.22/5.02      inference(monotonicity,[status(thm)],[3152])).
% 7.22/5.02  tff(3154,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 7.22/5.02      inference(transitivity,[status(thm)],[3153, 3151])).
% 7.22/5.02  tff(3155,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))))),
% 7.22/5.02      inference(quant_inst,[status(thm)],[])).
% 7.22/5.02  tff(3156,plain,
% 7.22/5.02      ((~![VarNext: state_type, VarCurr: state_type] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, 2)) <=> v90(VarCurr, 2)) | ((~v90(VarNext, 1)) <=> v90(VarCurr, 1)) | ((~v90(VarNext, 0)) <=> v90(VarCurr, 0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3155, 3154])).
% 7.22/5.02  tff(3157,plain,
% 7.22/5.02      (v100(constB5) | (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3156, 3127, 644])).
% 7.22/5.02  tff(3158,plain,
% 7.22/5.02      (~(((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0)))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3157, 3150])).
% 7.22/5.02  tff(3159,plain,
% 7.22/5.02      ((((~v90(constB5, 1)) <=> v90(constB4, 1)) | ((~v90(constB5, 2)) <=> v90(constB4, 2)) | ((~v90(constB5, 0)) <=> v90(constB4, 0))) | (~((~v90(constB5, 2)) <=> v90(constB4, 2)))),
% 7.22/5.02      inference(tautology,[status(thm)],[])).
% 7.22/5.02  tff(3160,plain,
% 7.22/5.02      (~((~v90(constB5, 2)) <=> v90(constB4, 2))),
% 7.22/5.02      inference(unit_resolution,[status(thm)],[3159, 3158])).
% 7.22/5.02  tff(3161,plain,
% 7.22/5.02      (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 7.22/5.02      inference(rewrite,[status(thm)],[])).
% 7.22/5.02  tff(3162,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 7.22/5.02  tff(3163,plain,
% 7.22/5.02      (nextState(constB3, constB4)),
% 7.22/5.02      inference(modus_ponens,[status(thm)],[3162, 3161])).
% 7.22/5.02  tff(3164,plain,
% 7.22/5.02      (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, 2