TSTP Solution File: LAT382+3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n007.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 : Thu Aug 31 05:58:58 EDT 2023

% Result   : Theorem 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 06:24:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % File        :CSE---1.6
% 0.20/0.63  % Problem     :theBenchmark
% 0.20/0.63  % Transform   :cnf
% 0.20/0.63  % Format      :tptp:raw
% 0.20/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.63  
% 0.20/0.63  % Result      :Theorem 0.000000s
% 0.20/0.63  % Output      :CNFRefutation 0.000000s
% 0.20/0.63  %-------------------------------------------
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  % File     : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.64  % Domain   : Lattice Theory
% 0.20/0.64  % Problem  : Tarski-Knaster fixed point theorem 02, 02 expansion
% 0.20/0.64  % Version  : Especial.
% 0.20/0.64  % English  :
% 0.20/0.64  
% 0.20/0.64  % Refs     : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.20/0.64  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.20/0.64  %          : [VL+08] Verchinine et al. (2008), On Correctness of Mathematic
% 0.20/0.64  % Source   : [Pas08]
% 0.20/0.64  % Names    : tarski_02.02 [Pas08]
% 0.20/0.64  
% 0.20/0.64  % Status   : Theorem
% 0.20/0.64  % Rating   : 0.08 v7.5.0, 0.09 v7.4.0, 0.00 v6.2.0, 0.04 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.05 v5.1.0, 0.19 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.65 v4.0.0
% 0.20/0.64  % Syntax   : Number of formulae    :   18 (   2 unt;   6 def)
% 0.20/0.64  %            Number of atoms       :   91 (   3 equ)
% 0.20/0.64  %            Maximal formula atoms :   22 (   5 avg)
% 0.20/0.64  %            Number of connectives :   74 (   1   ~;   2   |;  29   &)
% 0.20/0.64  %                                         (   6 <=>;  36  =>;   0  <=;   0 <~>)
% 0.20/0.64  %            Maximal formula depth :   18 (   7 avg)
% 0.20/0.64  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.64  %            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
% 0.20/0.64  %            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
% 0.20/0.64  %            Number of variables   :   44 (  43   !;   1   ?)
% 0.20/0.64  % SPC      : FOF_THM_RFO_SEQ
% 0.20/0.64  
% 0.20/0.64  % Comments : Problem generated by the SAD system [VLP07]
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  fof(mSetSort,axiom,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => $true ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mElmSort,axiom,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aElement0(W0)
% 0.20/0.64       => $true ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mEOfElem,axiom,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aElementOf0(W1,W0)
% 0.20/0.64           => aElement0(W1) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefEmpty,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ( isEmpty0(W0)
% 0.20/0.64        <=> ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefSub,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64          <=> ( aSet0(W1)
% 0.20/0.64              & ! [W2] :
% 0.20/0.64                  ( aElementOf0(W2,W1)
% 0.20/0.64                 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mLessRel,axiom,
% 0.20/0.64      ! [W0,W1] :
% 0.20/0.64        ( ( aElement0(W0)
% 0.20/0.64          & aElement0(W1) )
% 0.20/0.64       => ( sdtlseqdt0(W0,W1)
% 0.20/0.64         => $true ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mARefl,axiom,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aElement0(W0)
% 0.20/0.64       => sdtlseqdt0(W0,W0) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mASymm,axiom,
% 0.20/0.64      ! [W0,W1] :
% 0.20/0.64        ( ( aElement0(W0)
% 0.20/0.64          & aElement0(W1) )
% 0.20/0.64       => ( ( sdtlseqdt0(W0,W1)
% 0.20/0.64            & sdtlseqdt0(W1,W0) )
% 0.20/0.64         => W0 = W1 ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mTrans,axiom,
% 0.20/0.64      ! [W0,W1,W2] :
% 0.20/0.64        ( ( aElement0(W0)
% 0.20/0.64          & aElement0(W1)
% 0.20/0.64          & aElement0(W2) )
% 0.20/0.64       => ( ( sdtlseqdt0(W0,W1)
% 0.20/0.64            & sdtlseqdt0(W1,W2) )
% 0.20/0.64         => sdtlseqdt0(W0,W2) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefLB,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64           => ! [W2] :
% 0.20/0.64                ( aLowerBoundOfIn0(W2,W1,W0)
% 0.20/0.64              <=> ( aElementOf0(W2,W0)
% 0.20/0.64                  & ! [W3] :
% 0.20/0.64                      ( aElementOf0(W3,W1)
% 0.20/0.64                     => sdtlseqdt0(W2,W3) ) ) ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefUB,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64           => ! [W2] :
% 0.20/0.64                ( aUpperBoundOfIn0(W2,W1,W0)
% 0.20/0.64              <=> ( aElementOf0(W2,W0)
% 0.20/0.64                  & ! [W3] :
% 0.20/0.64                      ( aElementOf0(W3,W1)
% 0.20/0.64                     => sdtlseqdt0(W3,W2) ) ) ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefInf,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64           => ! [W2] :
% 0.20/0.64                ( aInfimumOfIn0(W2,W1,W0)
% 0.20/0.64              <=> ( aElementOf0(W2,W0)
% 0.20/0.64                  & aLowerBoundOfIn0(W2,W1,W0)
% 0.20/0.64                  & ! [W3] :
% 0.20/0.64                      ( aLowerBoundOfIn0(W3,W1,W0)
% 0.20/0.64                     => sdtlseqdt0(W3,W2) ) ) ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mDefSup,definition,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64           => ! [W2] :
% 0.20/0.64                ( aSupremumOfIn0(W2,W1,W0)
% 0.20/0.64              <=> ( aElementOf0(W2,W0)
% 0.20/0.64                  & aUpperBoundOfIn0(W2,W1,W0)
% 0.20/0.64                  & ! [W3] :
% 0.20/0.64                      ( aUpperBoundOfIn0(W3,W1,W0)
% 0.20/0.64                     => sdtlseqdt0(W2,W3) ) ) ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(mSupUn,axiom,
% 0.20/0.64      ! [W0] :
% 0.20/0.64        ( aSet0(W0)
% 0.20/0.64       => ! [W1] :
% 0.20/0.64            ( aSubsetOf0(W1,W0)
% 0.20/0.64           => ! [W2,W3] :
% 0.20/0.64                ( ( aSupremumOfIn0(W2,W1,W0)
% 0.20/0.64                  & aSupremumOfIn0(W3,W1,W0) )
% 0.20/0.64               => W2 = W3 ) ) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(m__773,hypothesis,
% 0.20/0.64      aSet0(xT) ).
% 0.20/0.64  
% 0.20/0.64  fof(m__773_01,hypothesis,
% 0.20/0.64      ( aSet0(xS)
% 0.20/0.64      & ! [W0] :
% 0.20/0.64          ( aElementOf0(W0,xS)
% 0.20/0.64         => aElementOf0(W0,xT) )
% 0.20/0.64      & aSubsetOf0(xS,xT) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(m__792,hypothesis,
% 0.20/0.64      ( aElementOf0(xu,xT)
% 0.20/0.64      & aElementOf0(xu,xT)
% 0.20/0.64      & ! [W0] :
% 0.20/0.64          ( aElementOf0(W0,xS)
% 0.20/0.64         => sdtlseqdt0(xu,W0) )
% 0.20/0.64      & aLowerBoundOfIn0(xu,xS,xT)
% 0.20/0.64      & ! [W0] :
% 0.20/0.64          ( ( ( aElementOf0(W0,xT)
% 0.20/0.64              & ! [W1] :
% 0.20/0.64                  ( aElementOf0(W1,xS)
% 0.20/0.64                 => sdtlseqdt0(W0,W1) ) )
% 0.20/0.64            | aLowerBoundOfIn0(W0,xS,xT) )
% 0.20/0.64         => sdtlseqdt0(W0,xu) )
% 0.20/0.64      & aInfimumOfIn0(xu,xS,xT)
% 0.20/0.64      & aElementOf0(xv,xT)
% 0.20/0.64      & aElementOf0(xv,xT)
% 0.20/0.64      & ! [W0] :
% 0.20/0.64          ( aElementOf0(W0,xS)
% 0.20/0.64         => sdtlseqdt0(xv,W0) )
% 0.20/0.64      & aLowerBoundOfIn0(xv,xS,xT)
% 0.20/0.64      & ! [W0] :
% 0.20/0.64          ( ( ( aElementOf0(W0,xT)
% 0.20/0.64              & ! [W1] :
% 0.20/0.64                  ( aElementOf0(W1,xS)
% 0.20/0.64                 => sdtlseqdt0(W0,W1) ) )
% 0.20/0.64            | aLowerBoundOfIn0(W0,xS,xT) )
% 0.20/0.64         => sdtlseqdt0(W0,xv) )
% 0.20/0.64      & aInfimumOfIn0(xv,xS,xT) ) ).
% 0.20/0.64  
% 0.20/0.64  fof(m__,conjecture,
% 0.20/0.64      xu = xv ).
% 0.20/0.64  
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark
% 0.20/0.64  % SZS output start Proof
% 0.20/0.64  %ClaNum:90(EqnAxiom:41)
% 0.20/0.64  %VarNum:294(SingletonVarNum:91)
% 0.20/0.64  %MaxLitNum:6
% 0.20/0.64  %MaxfuncDepth:1
% 0.20/0.64  %SharedTerms:14
% 0.20/0.64  %goalClause: 52
% 0.20/0.64  %singleGoalClaCount:1
% 0.20/0.64  [42]P1(a1)
% 0.20/0.64  [43]P1(a2)
% 0.20/0.64  [44]P2(a11,a1)
% 0.20/0.64  [46]P2(a12,a1)
% 0.20/0.64  [47]P6(a2,a1)
% 0.20/0.64  [48]P4(a11,a2,a1)
% 0.20/0.64  [49]P4(a12,a2,a1)
% 0.20/0.64  [50]P5(a11,a2,a1)
% 0.20/0.64  [51]P5(a12,a2,a1)
% 0.20/0.64  [52]~E(a12,a11)
% 0.20/0.64  [53]~P3(x531)+P7(x531,x531)
% 0.20/0.64  [55]~P2(x551,a2)+P2(x551,a1)
% 0.20/0.64  [56]~P2(x561,a2)+P7(a11,x561)
% 0.20/0.64  [57]~P2(x571,a2)+P7(a12,x571)
% 0.20/0.64  [70]P7(x701,a11)+~P4(x701,a2,a1)
% 0.20/0.64  [71]P7(x711,a12)+~P4(x711,a2,a1)
% 0.20/0.64  [54]~P1(x541)+P8(x541)+P2(f3(x541),x541)
% 0.20/0.64  [61]~P2(x611,a1)+P7(x611,a11)+P2(f4(x611),a2)
% 0.20/0.64  [62]~P2(x621,a1)+P7(x621,a12)+P2(f10(x621),a2)
% 0.20/0.64  [64]~P2(x641,a1)+~P7(x641,f4(x641))+P7(x641,a11)
% 0.20/0.64  [65]~P2(x651,a1)+~P7(x651,f10(x651))+P7(x651,a12)
% 0.20/0.64  [58]~P6(x581,x582)+P1(x581)+~P1(x582)
% 0.20/0.64  [59]~P2(x591,x592)+P3(x591)+~P1(x592)
% 0.20/0.64  [60]~P8(x601)+~P1(x601)+~P2(x602,x601)
% 0.20/0.64  [67]~P1(x671)+~P1(x672)+P6(x671,x672)+P2(f5(x672,x671),x671)
% 0.20/0.64  [69]~P1(x691)+~P1(x692)+P6(x691,x692)+~P2(f5(x692,x691),x692)
% 0.20/0.64  [66]~P1(x662)+~P6(x663,x662)+P2(x661,x662)+~P2(x661,x663)
% 0.20/0.64  [72]~P1(x722)+~P4(x721,x723,x722)+P2(x721,x722)+~P6(x723,x722)
% 0.20/0.64  [73]~P1(x732)+~P9(x731,x733,x732)+P2(x731,x732)+~P6(x733,x732)
% 0.20/0.64  [74]~P1(x742)+~P5(x741,x743,x742)+P2(x741,x742)+~P6(x743,x742)
% 0.20/0.64  [75]~P1(x752)+~P10(x751,x753,x752)+P2(x751,x752)+~P6(x753,x752)
% 0.20/0.64  [78]~P1(x783)+~P6(x782,x783)+~P5(x781,x782,x783)+P4(x781,x782,x783)
% 0.20/0.64  [79]~P1(x793)+~P6(x792,x793)+~P10(x791,x792,x793)+P9(x791,x792,x793)
% 0.20/0.64  [63]~P3(x632)+~P3(x631)+~P7(x632,x631)+~P7(x631,x632)+E(x631,x632)
% 0.20/0.64  [83]~P1(x833)+~P2(x831,x833)+~P6(x832,x833)+P4(x831,x832,x833)+P2(f6(x833,x832,x831),x832)
% 0.20/0.64  [84]~P1(x843)+~P2(x841,x843)+~P6(x842,x843)+P9(x841,x842,x843)+P2(f7(x843,x842,x841),x842)
% 0.20/0.64  [85]~P1(x853)+~P2(x851,x853)+~P6(x852,x853)+P4(x851,x852,x853)+~P7(x851,f6(x853,x852,x851))
% 0.20/0.64  [86]~P1(x863)+~P2(x861,x863)+~P6(x862,x863)+P9(x861,x862,x863)+~P7(f7(x863,x862,x861),x861)
% 0.20/0.64  [76]~P6(x764,x763)+~P4(x761,x764,x763)+P7(x761,x762)+~P2(x762,x764)+~P1(x763)
% 0.20/0.64  [77]~P6(x774,x773)+~P9(x772,x774,x773)+P7(x771,x772)+~P2(x771,x774)+~P1(x773)
% 0.20/0.64  [80]~P10(x802,x804,x803)+~P10(x801,x804,x803)+E(x801,x802)+~P6(x804,x803)+~P1(x803)
% 0.20/0.64  [81]~P9(x812,x814,x813)+~P10(x811,x814,x813)+P7(x811,x812)+~P6(x814,x813)+~P1(x813)
% 0.20/0.64  [82]~P4(x821,x824,x823)+~P5(x822,x824,x823)+P7(x821,x822)+~P6(x824,x823)+~P1(x823)
% 0.20/0.64  [68]~P3(x682)+~P3(x681)+~P7(x683,x682)+~P7(x681,x683)+P7(x681,x682)+~P3(x683)
% 0.20/0.64  [87]~P1(x873)+~P2(x871,x873)+~P6(x872,x873)+~P4(x871,x872,x873)+P5(x871,x872,x873)+P4(f8(x873,x872,x871),x872,x873)
% 0.20/0.64  [88]~P1(x883)+~P2(x881,x883)+~P6(x882,x883)+~P9(x881,x882,x883)+P10(x881,x882,x883)+P9(f9(x883,x882,x881),x882,x883)
% 0.20/0.64  [89]~P1(x893)+~P2(x891,x893)+~P6(x892,x893)+~P9(x891,x892,x893)+P10(x891,x892,x893)+~P7(x891,f9(x893,x892,x891))
% 0.20/0.64  [90]~P1(x903)+~P2(x901,x903)+~P6(x902,x903)+~P4(x901,x902,x903)+P5(x901,x902,x903)+~P7(f8(x903,x902,x901),x901)
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  [1]E(x11,x11)
% 0.20/0.64  [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.20/0.64  [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.20/0.64  [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 0.20/0.64  [7]~E(x71,x72)+E(f8(x71,x73,x74),f8(x72,x73,x74))
% 0.20/0.64  [8]~E(x81,x82)+E(f8(x83,x81,x84),f8(x83,x82,x84))
% 0.20/0.64  [9]~E(x91,x92)+E(f8(x93,x94,x91),f8(x93,x94,x92))
% 0.20/0.64  [10]~E(x101,x102)+E(f9(x101,x103,x104),f9(x102,x103,x104))
% 0.20/0.64  [11]~E(x111,x112)+E(f9(x113,x111,x114),f9(x113,x112,x114))
% 0.20/0.64  [12]~E(x121,x122)+E(f9(x123,x124,x121),f9(x123,x124,x122))
% 0.20/0.64  [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 0.20/0.64  [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 0.20/0.64  [15]~E(x151,x152)+E(f7(x151,x153,x154),f7(x152,x153,x154))
% 0.20/0.64  [16]~E(x161,x162)+E(f7(x163,x161,x164),f7(x163,x162,x164))
% 0.20/0.64  [17]~E(x171,x172)+E(f7(x173,x174,x171),f7(x173,x174,x172))
% 0.20/0.64  [18]~E(x181,x182)+E(f6(x181,x183,x184),f6(x182,x183,x184))
% 0.20/0.64  [19]~E(x191,x192)+E(f6(x193,x191,x194),f6(x193,x192,x194))
% 0.20/0.64  [20]~E(x201,x202)+E(f6(x203,x204,x201),f6(x203,x204,x202))
% 0.20/0.64  [21]~P1(x211)+P1(x212)+~E(x211,x212)
% 0.20/0.64  [22]P7(x222,x223)+~E(x221,x222)+~P7(x221,x223)
% 0.20/0.64  [23]P7(x233,x232)+~E(x231,x232)+~P7(x233,x231)
% 0.20/0.64  [24]P2(x242,x243)+~E(x241,x242)+~P2(x241,x243)
% 0.20/0.64  [25]P2(x253,x252)+~E(x251,x252)+~P2(x253,x251)
% 0.20/0.64  [26]P6(x262,x263)+~E(x261,x262)+~P6(x261,x263)
% 0.20/0.64  [27]P6(x273,x272)+~E(x271,x272)+~P6(x273,x271)
% 0.20/0.64  [28]P10(x282,x283,x284)+~E(x281,x282)+~P10(x281,x283,x284)
% 0.20/0.64  [29]P10(x293,x292,x294)+~E(x291,x292)+~P10(x293,x291,x294)
% 0.20/0.64  [30]P10(x303,x304,x302)+~E(x301,x302)+~P10(x303,x304,x301)
% 0.20/0.64  [31]P4(x312,x313,x314)+~E(x311,x312)+~P4(x311,x313,x314)
% 0.20/0.64  [32]P4(x323,x322,x324)+~E(x321,x322)+~P4(x323,x321,x324)
% 0.20/0.64  [33]P4(x333,x334,x332)+~E(x331,x332)+~P4(x333,x334,x331)
% 0.20/0.64  [34]~P3(x341)+P3(x342)+~E(x341,x342)
% 0.20/0.64  [35]P9(x352,x353,x354)+~E(x351,x352)+~P9(x351,x353,x354)
% 0.20/0.64  [36]P9(x363,x362,x364)+~E(x361,x362)+~P9(x363,x361,x364)
% 0.20/0.64  [37]P9(x373,x374,x372)+~E(x371,x372)+~P9(x373,x374,x371)
% 0.20/0.64  [38]P5(x382,x383,x384)+~E(x381,x382)+~P5(x381,x383,x384)
% 0.20/0.64  [39]P5(x393,x392,x394)+~E(x391,x392)+~P5(x393,x391,x394)
% 0.20/0.64  [40]P5(x403,x404,x402)+~E(x401,x402)+~P5(x403,x404,x401)
% 0.20/0.64  [41]~P8(x411)+P8(x412)+~E(x411,x412)
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.65  cnf(91,plain,
% 0.20/0.65     (P7(a11,a12)),
% 0.20/0.65     inference(scs_inference,[],[48,71])).
% 0.20/0.65  cnf(97,plain,
% 0.20/0.65     (P3(a11)),
% 0.20/0.65     inference(scs_inference,[],[52,42,44,48,71,70,60,2,21,59])).
% 0.20/0.65  cnf(122,plain,
% 0.20/0.65     ($false),
% 0.20/0.65     inference(scs_inference,[],[52,49,50,47,46,42,91,97,82,63,59]),
% 0.20/0.65     ['proof']).
% 0.20/0.65  % SZS output end Proof
% 0.20/0.65  % Total time :0.000000s
%------------------------------------------------------------------------------