## TSTP Solution File: LAT270-2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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  : 600s
% DateTime : Sun Jul 17 06:01:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.34s
% Output   : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   0 sgn)

%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_a,v_A,t_a) ).

cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a) ).

cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ).

cnf(cls_conjecture_6,negated_conjecture,
~ c_lessequals(v_S,v_A,tc_set(t_a)) ).

cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,
( ~ c_in(V_b,v_A,t_a)
| ~ c_in(V_a,v_A,t_a)
| ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))
| c_lessequals(V_S,v_A,tc_set(t_a)) ) ).

cnf(refute_0_0,plain,
( ~ c_in(v_a,v_A,t_a)
| ~ c_in(v_b,v_A,t_a)
| ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(subst,[],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0:[bind(V_S,\$fot(v_S)),bind(V_a,\$fot(v_a)),bind(V_b,\$fot(v_b))]]) ).

cnf(refute_0_1,plain,
( ~ c_in(v_a,v_A,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolve,[\$cnf( c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) )],[cls_conjecture_2,refute_0_0]) ).

cnf(refute_0_2,plain,
( ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolve,[\$cnf( c_in(v_a,v_A,t_a) )],[cls_conjecture_0,refute_0_1]) ).

cnf(refute_0_3,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolve,[\$cnf( c_in(v_b,v_A,t_a) )],[cls_conjecture_1,refute_0_2]) ).

cnf(refute_0_4,plain,
\$false,
inference(resolve,[\$cnf( c_lessequals(v_S,v_A,tc_set(t_a)) )],[refute_0_3,cls_conjecture_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 28 22:57:08 EDT 2022
% 0.13/0.33  % CPUTime  :
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34
% 0.19/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.34
%------------------------------------------------------------------------------