TSTP Solution File: SWV314-2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n023.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 : Wed Jul 20 20:11:46 EDT 2022

% Result   : Unsatisfiable 0.22s 0.50s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   71 (  36 unt;  24 typ;   0 def)
%            Number of atoms       :  259 (  61 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives : 1269 (  48   ~;  90   |;   0   &;1131   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :  108 (   0   ^ 108   !;   0   ?; 108   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
    c_Event_Obad: $i ).

thf(tp_c_Event_Oevent_ONotes,type,
    c_Event_Oevent_ONotes: $i > $i > $i ).

thf(tp_c_Event_Oevent_OSays,type,
    c_Event_Oevent_OSays: $i > $i > $i > $i ).

thf(tp_c_Event_Oknows,type,
    c_Event_Oknows: $i > $i > $i ).

thf(tp_c_List_Oset,type,
    c_List_Oset: $i > $i > $i ).

thf(tp_c_Message_Oagent_OServer,type,
    c_Message_Oagent_OServer: $i ).

thf(tp_c_Message_Oagent_OSpy,type,
    c_Message_Oagent_OSpy: $i ).

thf(tp_c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $i ).

thf(tp_c_Message_Omsg_OCrypt,type,
    c_Message_Omsg_OCrypt: $i > $i > $i ).

thf(tp_c_Message_Omsg_OKey,type,
    c_Message_Omsg_OKey: $i > $i ).

thf(tp_c_Message_Omsg_OMPair,type,
    c_Message_Omsg_OMPair: $i > $i > $i ).

thf(tp_c_OtwayRees_Ootway,type,
    c_OtwayRees_Ootway: $i ).

thf(tp_c_Public_OshrK,type,
    c_Public_OshrK: $i > $i ).

thf(tp_c_in,type,
    c_in: $i > $i > $i > $o ).

thf(tp_tc_Event_Oevent,type,
    tc_Event_Oevent: $i ).

thf(tp_tc_List_Olist,type,
    tc_List_Olist: $i > $i ).

thf(tp_tc_Message_Oagent,type,
    tc_Message_Oagent: $i ).

thf(tp_tc_Message_Omsg,type,
    tc_Message_Omsg: $i ).

thf(tp_v_A,type,
    v_A: $i ).

thf(tp_v_B,type,
    v_B: $i ).

thf(tp_v_K,type,
    v_K: $i ).

thf(tp_v_NA,type,
    v_NA: $i ).

thf(tp_v_NB,type,
    v_NB: $i ).

thf(tp_v_evs,type,
    v_evs: $i ).

thf(1,axiom,
    ! [V_evs: $i,V_B: $i,V_NA: $i,V_A: $i,V_K: $i,V_NB: $i] :
      ( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
      | ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

thf(2,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(3,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[2]) ).

thf(4,negated_conjecture,
    c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

thf(5,negated_conjecture,
    c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(6,negated_conjecture,
    ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(7,negated_conjecture,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(8,negated_conjecture,
    ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(9,negated_conjecture,
    c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(10,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[3]) ).

thf(11,plain,
    ( ( ! [V_evs: $i,V_B: $i,V_NA: $i,V_A: $i,V_K: $i,V_NB: $i] :
          ( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
          | ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
          | ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
          | ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(12,plain,
    ( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(13,plain,
    ( ( c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(14,plain,
    ( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(15,plain,
    ( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(16,plain,
    ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(17,plain,
    ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(18,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[10]) ).

thf(19,plain,
    ( ( ! [V_evs: $i,V_B: $i,V_NA: $i,V_A: $i] :
          ( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
          | ! [V_K: $i,V_NB: $i] :
              ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
              | ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
              | ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(20,plain,
    ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(21,plain,
    ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(22,plain,
    ( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(23,plain,
    ( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(24,plain,
    ( ( c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(25,plain,
    ( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(26,plain,
    ( ( ! [V_evs: $i,V_B: $i,V_NA: $i,V_A: $i] :
          ( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
          | ! [V_K: $i,V_NB: $i] :
              ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
              | ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
              | ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(27,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(28,plain,
    ( ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(29,plain,
    ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(30,plain,
    ( ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(31,plain,
    ! [SV1: $i] :
      ( ( ! [SY6: $i,SY7: $i,SY8: $i] :
            ( ~ ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
            | ! [SY9: $i,SY10: $i] :
                ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY6 @ ( c_Message_Omsg_OMPair @ SY7 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY8 ) @ ( c_Message_Omsg_OMPair @ SY7 @ ( c_Message_Omsg_OKey @ SY9 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY6 ) @ ( c_Message_Omsg_OMPair @ SY10 @ ( c_Message_Omsg_OKey @ SY9 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
                | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY9 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
                | ( c_in @ SY6 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ SY8 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY7 @ ( c_Message_Omsg_OMPair @ SY10 @ ( c_Message_Omsg_OKey @ SY9 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(32,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(33,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ! [SY11: $i,SY12: $i] :
            ( ~ ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
            | ! [SY13: $i,SY14: $i] :
                ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SY11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY12 ) @ ( c_Message_Omsg_OMPair @ SY11 @ ( c_Message_Omsg_OKey @ SY13 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY14 @ ( c_Message_Omsg_OKey @ SY13 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
                | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY13 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
                | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ SY12 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY11 @ ( c_Message_Omsg_OMPair @ SY14 @ ( c_Message_Omsg_OKey @ SY13 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(34,plain,
    ! [SV3: $i,SV2: $i,SV1: $i] :
      ( ( ! [SY15: $i] :
            ( ~ ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
            | ! [SY16: $i,SY17: $i] :
                ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY15 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SY16 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY17 @ ( c_Message_Omsg_OKey @ SY16 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
                | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY16 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
                | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ SY15 @ c_Event_Obad @ tc_Message_Oagent )
                | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SY17 @ ( c_Message_Omsg_OKey @ SY16 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[33]) ).

thf(35,plain,
    ! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
      ( ( ~ ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        | ! [SY18: $i,SY19: $i] :
            ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
            | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY18 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
            | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
            | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
            | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[34]) ).

thf(36,plain,
    ! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
      ( ( ( ~ ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
        = $true )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
              | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY18 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
              | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(37,plain,
    ! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
      ( ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
              | ~ ( c_in @ ( c_Message_Omsg_OKey @ SY18 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
              | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SY19 @ ( c_Message_Omsg_OKey @ SY18 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(38,plain,
    ! [SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
      ( ( ( ! [SY20: $i] :
              ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SY20 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
              | ~ ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
              | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
              | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SY20 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
        = $true )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(39,plain,
    ! [SV1: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
          | ~ ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
          | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(40,plain,
    ! [SV1: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
          | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(41,plain,
    ! [SV1: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
      ( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
          | ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(42,plain,
    ! [SV6: $i,SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
      ( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg ) )
        = $true )
      | ( ( ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(43,plain,
    ! [SV6: $i,SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
      ( ( ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
        = $false )
      | ( ( ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(44,plain,
    ! [SV1: $i,SV5: $i,SV6: $i,SV3: $i,SV4: $i,SV2: $i] :
      ( ( ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
        = $true )
      | ( ( ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
          | ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[43]) ).

thf(45,plain,
    ! [SV2: $i,SV1: $i,SV5: $i,SV6: $i,SV3: $i,SV4: $i] :
      ( ( ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
        = $true )
      | ( ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $true )
      | ( ( c_in @ SV2 @ c_Event_Obad @ tc_Message_Oagent )
        = $true )
      | ( ( c_in @ ( c_Message_Omsg_OKey @ SV5 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1 ) ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV3 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ SV6 @ ( c_Message_Omsg_OKey @ SV5 ) ) ) ) ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( c_in @ SV1 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(46,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[20,45,32,30,29,28,25,24]) ).

thf(47,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.15  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.37  % Computer : n023.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 23:48:35 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.39  
% 0.15/0.39   No.of.Axioms: 7
% 0.15/0.39  
% 0.15/0.39   Length.of.Defs: 0
% 0.15/0.39  
% 0.15/0.39   Contains.Choice.Funs: false
% 0.15/0.40  (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.22/0.50  
% 0.22/0.50  ********************************
% 0.22/0.50  *   All subproblems solved!    *
% 0.22/0.50  ********************************
% 0.22/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.22/0.50  
% 0.22/0.50  %**** Beginning of derivation protocol ****
% 0.22/0.50  % SZS output start CNFRefutation
% See solution above
% 0.22/0.50  
% 0.22/0.50  %**** End of derivation protocol ****
% 0.22/0.50  %**** no. of clauses in derivation: 47 ****
% 0.22/0.50  %**** clause counter: 46 ****
% 0.22/0.50  
% 0.22/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------