TSTP Solution File: LAT388+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT388+1 : 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 : n025.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 05:59:00 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT388+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 05:00:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 start to proof:theBenchmark
% 0.20/0.55 %-------------------------------------------
% 0.20/0.55 % File :CSE---1.6
% 0.20/0.55 % Problem :theBenchmark
% 0.20/0.55 % Transform :cnf
% 0.20/0.55 % Format :tptp:raw
% 0.20/0.55 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.55
% 0.20/0.55 % Result :Theorem 0.000000s
% 0.20/0.55 % Output :CNFRefutation 0.000000s
% 0.20/0.55 %-------------------------------------------
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 % File : LAT388+1 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.56 % Domain : Lattice Theory
% 0.20/0.56 % Problem : Tarski-Knaster fixed point theorem 03_01_05, 00 expansion
% 0.20/0.56 % Version : Especial.
% 0.20/0.56 % English :
% 0.20/0.56
% 0.20/0.56 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.20/0.56 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.20/0.56 % : [VL+08] Verchinine et al. (2008), On Correctness of Mathematic
% 0.20/0.56 % Source : [Pas08]
% 0.20/0.56 % Names : tarski_03_01_05.00 [Pas08]
% 0.20/0.56
% 0.20/0.56 % Status : Theorem
% 0.20/0.56 % Rating : 0.03 v8.1.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.1, 0.61 v4.0.0
% 0.20/0.56 % Syntax : Number of formulae : 31 ( 5 unt; 10 def)
% 0.20/0.56 % Number of atoms : 110 ( 8 equ)
% 0.20/0.56 % Maximal formula atoms : 7 ( 3 avg)
% 0.20/0.56 % Number of connectives : 80 ( 1 ~; 0 |; 26 &)
% 0.20/0.56 % ( 10 <=>; 43 =>; 0 <=; 0 <~>)
% 0.20/0.56 % Maximal formula depth : 11 ( 5 avg)
% 0.20/0.56 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.56 % Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% 0.20/0.56 % Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% 0.20/0.56 % Number of variables : 58 ( 54 !; 4 ?)
% 0.20/0.56 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.56
% 0.20/0.56 % Comments : Problem generated by the SAD system [VLP07]
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 fof(mSetSort,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => $true ) ).
% 0.20/0.56
% 0.20/0.56 fof(mElmSort,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aElement0(W0)
% 0.20/0.56 => $true ) ).
% 0.20/0.56
% 0.20/0.56 fof(mEOfElem,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aElementOf0(W1,W0)
% 0.20/0.56 => aElement0(W1) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefEmpty,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ( isEmpty0(W0)
% 0.20/0.56 <=> ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefSub,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 <=> ( aSet0(W1)
% 0.20/0.56 & ! [W2] :
% 0.20/0.56 ( aElementOf0(W2,W1)
% 0.20/0.56 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mLessRel,axiom,
% 0.20/0.56 ! [W0,W1] :
% 0.20/0.56 ( ( aElement0(W0)
% 0.20/0.56 & aElement0(W1) )
% 0.20/0.56 => ( sdtlseqdt0(W0,W1)
% 0.20/0.56 => $true ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mARefl,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aElement0(W0)
% 0.20/0.56 => sdtlseqdt0(W0,W0) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mASymm,axiom,
% 0.20/0.56 ! [W0,W1] :
% 0.20/0.56 ( ( aElement0(W0)
% 0.20/0.56 & aElement0(W1) )
% 0.20/0.56 => ( ( sdtlseqdt0(W0,W1)
% 0.20/0.56 & sdtlseqdt0(W1,W0) )
% 0.20/0.56 => W0 = W1 ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mTrans,axiom,
% 0.20/0.56 ! [W0,W1,W2] :
% 0.20/0.56 ( ( aElement0(W0)
% 0.20/0.56 & aElement0(W1)
% 0.20/0.56 & aElement0(W2) )
% 0.20/0.56 => ( ( sdtlseqdt0(W0,W1)
% 0.20/0.56 & sdtlseqdt0(W1,W2) )
% 0.20/0.56 => sdtlseqdt0(W0,W2) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefLB,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2] :
% 0.20/0.56 ( aLowerBoundOfIn0(W2,W1,W0)
% 0.20/0.56 <=> ( aElementOf0(W2,W0)
% 0.20/0.56 & ! [W3] :
% 0.20/0.56 ( aElementOf0(W3,W1)
% 0.20/0.56 => sdtlseqdt0(W2,W3) ) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefUB,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2] :
% 0.20/0.56 ( aUpperBoundOfIn0(W2,W1,W0)
% 0.20/0.56 <=> ( aElementOf0(W2,W0)
% 0.20/0.56 & ! [W3] :
% 0.20/0.56 ( aElementOf0(W3,W1)
% 0.20/0.56 => sdtlseqdt0(W3,W2) ) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefInf,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2] :
% 0.20/0.56 ( aInfimumOfIn0(W2,W1,W0)
% 0.20/0.56 <=> ( aElementOf0(W2,W0)
% 0.20/0.56 & aLowerBoundOfIn0(W2,W1,W0)
% 0.20/0.56 & ! [W3] :
% 0.20/0.56 ( aLowerBoundOfIn0(W3,W1,W0)
% 0.20/0.56 => sdtlseqdt0(W3,W2) ) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefSup,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2] :
% 0.20/0.56 ( aSupremumOfIn0(W2,W1,W0)
% 0.20/0.56 <=> ( aElementOf0(W2,W0)
% 0.20/0.56 & aUpperBoundOfIn0(W2,W1,W0)
% 0.20/0.56 & ! [W3] :
% 0.20/0.56 ( aUpperBoundOfIn0(W3,W1,W0)
% 0.20/0.56 => sdtlseqdt0(W2,W3) ) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mSupUn,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2,W3] :
% 0.20/0.56 ( ( aSupremumOfIn0(W2,W1,W0)
% 0.20/0.56 & aSupremumOfIn0(W3,W1,W0) )
% 0.20/0.56 => W2 = W3 ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mInfUn,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aSet0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ! [W2,W3] :
% 0.20/0.56 ( ( aInfimumOfIn0(W2,W1,W0)
% 0.20/0.56 & aInfimumOfIn0(W3,W1,W0) )
% 0.20/0.56 => W2 = W3 ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefCLat,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aCompleteLattice0(W0)
% 0.20/0.56 <=> ( aSet0(W0)
% 0.20/0.56 & ! [W1] :
% 0.20/0.56 ( aSubsetOf0(W1,W0)
% 0.20/0.56 => ? [W2] :
% 0.20/0.56 ( aInfimumOfIn0(W2,W1,W0)
% 0.20/0.56 & ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mConMap,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => $true ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDomSort,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => aSet0(szDzozmdt0(W0)) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mRanSort,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => aSet0(szRzazndt0(W0)) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefDom,definition,
% 0.20/0.56 ! [W0,W1] :
% 0.20/0.56 ( ( aFunction0(W0)
% 0.20/0.56 & aSet0(W1) )
% 0.20/0.56 => ( isOn0(W0,W1)
% 0.20/0.56 <=> ( szDzozmdt0(W0) = szRzazndt0(W0)
% 0.20/0.56 & szRzazndt0(W0) = W1 ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mImgSort,axiom,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.20/0.56 => aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefFix,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => ! [W1] :
% 0.20/0.56 ( aFixedPointOf0(W1,W0)
% 0.20/0.56 <=> ( aElementOf0(W1,szDzozmdt0(W0))
% 0.20/0.56 & sdtlpdtrp0(W0,W1) = W1 ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(mDefMonot,definition,
% 0.20/0.56 ! [W0] :
% 0.20/0.56 ( aFunction0(W0)
% 0.20/0.56 => ( isMonotone0(W0)
% 0.20/0.56 <=> ! [W1,W2] :
% 0.20/0.56 ( ( aElementOf0(W1,szDzozmdt0(W0))
% 0.20/0.56 & aElementOf0(W2,szDzozmdt0(W0)) )
% 0.20/0.56 => ( sdtlseqdt0(W1,W2)
% 0.20/0.56 => sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)) ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1123,hypothesis,
% 0.20/0.56 ( aCompleteLattice0(xU)
% 0.20/0.56 & aFunction0(xf)
% 0.20/0.56 & isMonotone0(xf)
% 0.20/0.56 & isOn0(xf,xU) ) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1144,hypothesis,
% 0.20/0.56 xS = cS1142(xf) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1173,hypothesis,
% 0.20/0.56 aSubsetOf0(xT,xS) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1244,hypothesis,
% 0.20/0.56 xP = cS1241(xU,xf,xT) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1261,hypothesis,
% 0.20/0.56 aInfimumOfIn0(xp,xP,xU) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1299,hypothesis,
% 0.20/0.56 ( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
% 0.20/0.56 & aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ).
% 0.20/0.56
% 0.20/0.56 fof(m__1330,hypothesis,
% 0.20/0.56 ( aFixedPointOf0(xp,xf)
% 0.20/0.56 & aSupremumOfIn0(xp,xT,xS) ) ).
% 0.20/0.56
% 0.20/0.56 fof(m__,conjecture,
% 0.20/0.56 ? [W0] : aSupremumOfIn0(W0,xT,xS) ).
% 0.20/0.56
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 %-------------------------------------------
% 0.20/0.56 % Proof found
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof
% 0.20/0.56 %ClaNum:123(EqnAxiom:61)
% 0.20/0.56 %VarNum:389(SingletonVarNum:119)
% 0.20/0.56 %MaxLitNum:6
% 0.20/0.56 %MaxfuncDepth:2
% 0.20/0.56 %SharedTerms:21
% 0.20/0.56 %goalClause: 74
% 0.20/0.56 %singleGoalClaCount:1
% 0.20/0.56 [63]P1(a20)
% 0.20/0.56 [64]P2(a1)
% 0.20/0.56 [65]P6(a1)
% 0.20/0.57 [66]P7(a21,a3)
% 0.20/0.57 [67]P14(a1,a20)
% 0.20/0.57 [68]P3(a22,a1)
% 0.20/0.57 [70]P8(a22,a5,a20)
% 0.20/0.57 [71]P11(a22,a21,a3)
% 0.20/0.57 [62]E(f2(a1),a3)
% 0.20/0.57 [69]E(f4(a20,a1,a21),a5)
% 0.20/0.57 [72]P9(f6(a1,a22),a5,a20)
% 0.20/0.57 [73]P12(f6(a1,a22),a21,a20)
% 0.20/0.57 [74]~P11(x741,a21,a3)
% 0.20/0.57 [75]~P1(x751)+P10(x751)
% 0.20/0.57 [78]~P4(x781)+P15(x781,x781)
% 0.20/0.57 [76]~P2(x761)+P10(f18(x761))
% 0.20/0.57 [77]~P2(x771)+P10(f19(x771))
% 0.20/0.57 [79]~P10(x791)+P13(x791)+P5(f7(x791),x791)
% 0.20/0.57 [80]~P10(x801)+P1(x801)+P7(f10(x801),x801)
% 0.20/0.57 [84]~P2(x841)+P6(x841)+P5(f8(x841),f18(x841))
% 0.20/0.57 [85]~P2(x851)+P6(x851)+P5(f9(x851),f18(x851))
% 0.20/0.57 [86]~P2(x861)+P6(x861)+P15(f8(x861),f9(x861))
% 0.20/0.57 [107]~P2(x1071)+P6(x1071)+~P15(f6(x1071,f8(x1071)),f6(x1071,f9(x1071)))
% 0.20/0.57 [81]~P7(x811,x812)+P10(x811)+~P10(x812)
% 0.20/0.57 [82]~P5(x821,x822)+P4(x821)+~P10(x822)
% 0.20/0.57 [83]~P13(x831)+~P10(x831)+~P5(x832,x831)
% 0.20/0.57 [88]~P2(x881)+~P3(x882,x881)+E(f6(x881,x882),x882)
% 0.20/0.57 [91]~P2(x912)+~P3(x911,x912)+P5(x911,f18(x912))
% 0.20/0.57 [97]~P2(x971)+~P5(x972,f18(x971))+P5(f6(x971,x972),f19(x971))
% 0.20/0.57 [99]~P1(x991)+~P7(x992,x991)+P8(f12(x991,x992),x992,x991)
% 0.20/0.57 [100]~P1(x1001)+~P7(x1002,x1001)+P11(f17(x1001,x1002),x1002,x1001)
% 0.20/0.57 [87]~P10(x872)+~P2(x871)+~P14(x871,x872)+E(f19(x871),x872)
% 0.20/0.57 [89]~P2(x891)+~P14(x891,x892)+~P10(x892)+E(f19(x891),f18(x891))
% 0.20/0.57 [94]~P10(x941)+~P10(x942)+P7(x941,x942)+P5(f11(x942,x941),x941)
% 0.20/0.57 [95]~P2(x952)+P3(x951,x952)+~E(f6(x952,x951),x951)+~P5(x951,f18(x952))
% 0.20/0.57 [98]~P10(x981)+~P10(x982)+P7(x981,x982)+~P5(f11(x982,x981),x982)
% 0.20/0.57 [93]~P10(x932)+~P7(x933,x932)+P5(x931,x932)+~P5(x931,x933)
% 0.20/0.57 [101]~P10(x1012)+~P9(x1011,x1013,x1012)+P5(x1011,x1012)+~P7(x1013,x1012)
% 0.20/0.57 [102]~P10(x1022)+~P12(x1021,x1023,x1022)+P5(x1021,x1022)+~P7(x1023,x1022)
% 0.20/0.57 [103]~P10(x1032)+~P8(x1031,x1033,x1032)+P5(x1031,x1032)+~P7(x1033,x1032)
% 0.20/0.57 [104]~P10(x1042)+~P11(x1041,x1043,x1042)+P5(x1041,x1042)+~P7(x1043,x1042)
% 0.20/0.57 [109]~P10(x1093)+~P7(x1092,x1093)+~P8(x1091,x1092,x1093)+P9(x1091,x1092,x1093)
% 0.20/0.57 [110]~P10(x1103)+~P7(x1102,x1103)+~P11(x1101,x1102,x1103)+P12(x1101,x1102,x1103)
% 0.20/0.57 [111]~P10(x1111)+P1(x1111)+~P8(x1112,f10(x1111),x1111)+~P11(x1113,f10(x1111),x1111)
% 0.20/0.57 [92]~P4(x922)+~P4(x921)+~P15(x922,x921)+~P15(x921,x922)+E(x921,x922)
% 0.20/0.57 [90]~P10(x902)+~P2(x901)+P14(x901,x902)+~E(f19(x901),x902)+~E(f19(x901),f18(x901))
% 0.20/0.57 [116]~P10(x1163)+~P5(x1161,x1163)+~P7(x1162,x1163)+P9(x1161,x1162,x1163)+P5(f13(x1163,x1162,x1161),x1162)
% 0.20/0.57 [117]~P10(x1173)+~P5(x1171,x1173)+~P7(x1172,x1173)+P12(x1171,x1172,x1173)+P5(f14(x1173,x1172,x1171),x1172)
% 0.20/0.57 [118]~P10(x1183)+~P5(x1181,x1183)+~P7(x1182,x1183)+P9(x1181,x1182,x1183)+~P15(x1181,f13(x1183,x1182,x1181))
% 0.20/0.57 [119]~P10(x1193)+~P5(x1191,x1193)+~P7(x1192,x1193)+P12(x1191,x1192,x1193)+~P15(f14(x1193,x1192,x1191),x1191)
% 0.20/0.57 [105]~P7(x1054,x1053)+~P9(x1051,x1054,x1053)+P15(x1051,x1052)+~P5(x1052,x1054)+~P10(x1053)
% 0.20/0.57 [106]~P7(x1064,x1063)+~P12(x1062,x1064,x1063)+P15(x1061,x1062)+~P5(x1061,x1064)+~P10(x1063)
% 0.20/0.57 [112]~P8(x1122,x1124,x1123)+~P8(x1121,x1124,x1123)+E(x1121,x1122)+~P7(x1124,x1123)+~P10(x1123)
% 0.20/0.57 [113]~P11(x1132,x1134,x1133)+~P11(x1131,x1134,x1133)+E(x1131,x1132)+~P7(x1134,x1133)+~P10(x1133)
% 0.20/0.57 [114]~P12(x1142,x1144,x1143)+~P11(x1141,x1144,x1143)+P15(x1141,x1142)+~P7(x1144,x1143)+~P10(x1143)
% 0.20/0.57 [115]~P9(x1151,x1154,x1153)+~P8(x1152,x1154,x1153)+P15(x1151,x1152)+~P7(x1154,x1153)+~P10(x1153)
% 0.20/0.57 [96]~P4(x962)+~P4(x961)+~P15(x963,x962)+~P15(x961,x963)+P15(x961,x962)+~P4(x963)
% 0.20/0.57 [108]~P2(x1081)+~P6(x1081)+~P15(x1082,x1083)+~P5(x1083,f18(x1081))+~P5(x1082,f18(x1081))+P15(f6(x1081,x1082),f6(x1081,x1083))
% 0.20/0.57 [120]~P10(x1203)+~P5(x1201,x1203)+~P7(x1202,x1203)+~P9(x1201,x1202,x1203)+P8(x1201,x1202,x1203)+P9(f15(x1203,x1202,x1201),x1202,x1203)
% 0.20/0.57 [121]~P10(x1213)+~P5(x1211,x1213)+~P7(x1212,x1213)+~P12(x1211,x1212,x1213)+P11(x1211,x1212,x1213)+P12(f16(x1213,x1212,x1211),x1212,x1213)
% 0.20/0.57 [122]~P10(x1223)+~P5(x1221,x1223)+~P7(x1222,x1223)+~P12(x1221,x1222,x1223)+P11(x1221,x1222,x1223)+~P15(x1221,f16(x1223,x1222,x1221))
% 0.20/0.57 [123]~P10(x1233)+~P5(x1231,x1233)+~P7(x1232,x1233)+~P9(x1231,x1232,x1233)+P8(x1231,x1232,x1233)+~P15(f15(x1233,x1232,x1231),x1231)
% 0.20/0.57 %EqnAxiom
% 0.20/0.57 [1]E(x11,x11)
% 0.20/0.57 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.57 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.57 [5]~E(x51,x52)+E(f4(x51,x53,x54),f4(x52,x53,x54))
% 0.20/0.57 [6]~E(x61,x62)+E(f4(x63,x61,x64),f4(x63,x62,x64))
% 0.20/0.57 [7]~E(x71,x72)+E(f4(x73,x74,x71),f4(x73,x74,x72))
% 0.20/0.57 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.20/0.57 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.20/0.57 [10]~E(x101,x102)+E(f15(x101,x103,x104),f15(x102,x103,x104))
% 0.20/0.57 [11]~E(x111,x112)+E(f15(x113,x111,x114),f15(x113,x112,x114))
% 0.20/0.57 [12]~E(x121,x122)+E(f15(x123,x124,x121),f15(x123,x124,x122))
% 0.20/0.57 [13]~E(x131,x132)+E(f18(x131),f18(x132))
% 0.20/0.57 [14]~E(x141,x142)+E(f19(x141),f19(x142))
% 0.20/0.57 [15]~E(x151,x152)+E(f7(x151),f7(x152))
% 0.20/0.57 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.20/0.57 [17]~E(x171,x172)+E(f8(x171),f8(x172))
% 0.20/0.57 [18]~E(x181,x182)+E(f14(x181,x183,x184),f14(x182,x183,x184))
% 0.20/0.57 [19]~E(x191,x192)+E(f14(x193,x191,x194),f14(x193,x192,x194))
% 0.20/0.57 [20]~E(x201,x202)+E(f14(x203,x204,x201),f14(x203,x204,x202))
% 0.20/0.57 [21]~E(x211,x212)+E(f9(x211),f9(x212))
% 0.20/0.57 [22]~E(x221,x222)+E(f13(x221,x223,x224),f13(x222,x223,x224))
% 0.20/0.57 [23]~E(x231,x232)+E(f13(x233,x231,x234),f13(x233,x232,x234))
% 0.20/0.57 [24]~E(x241,x242)+E(f13(x243,x244,x241),f13(x243,x244,x242))
% 0.20/0.57 [25]~E(x251,x252)+E(f16(x251,x253,x254),f16(x252,x253,x254))
% 0.20/0.57 [26]~E(x261,x262)+E(f16(x263,x261,x264),f16(x263,x262,x264))
% 0.20/0.57 [27]~E(x271,x272)+E(f16(x273,x274,x271),f16(x273,x274,x272))
% 0.20/0.57 [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283))
% 0.20/0.57 [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292))
% 0.20/0.57 [30]~E(x301,x302)+E(f17(x301,x303),f17(x302,x303))
% 0.20/0.57 [31]~E(x311,x312)+E(f17(x313,x311),f17(x313,x312))
% 0.20/0.57 [32]~E(x321,x322)+E(f12(x321,x323),f12(x322,x323))
% 0.20/0.57 [33]~E(x331,x332)+E(f12(x333,x331),f12(x333,x332))
% 0.20/0.57 [34]~P1(x341)+P1(x342)+~E(x341,x342)
% 0.20/0.57 [35]~P2(x351)+P2(x352)+~E(x351,x352)
% 0.20/0.57 [36]~P6(x361)+P6(x362)+~E(x361,x362)
% 0.20/0.57 [37]P7(x372,x373)+~E(x371,x372)+~P7(x371,x373)
% 0.20/0.57 [38]P7(x383,x382)+~E(x381,x382)+~P7(x383,x381)
% 0.20/0.57 [39]P14(x392,x393)+~E(x391,x392)+~P14(x391,x393)
% 0.20/0.57 [40]P14(x403,x402)+~E(x401,x402)+~P14(x403,x401)
% 0.20/0.57 [41]P3(x412,x413)+~E(x411,x412)+~P3(x411,x413)
% 0.20/0.57 [42]P3(x423,x422)+~E(x421,x422)+~P3(x423,x421)
% 0.20/0.57 [43]P8(x432,x433,x434)+~E(x431,x432)+~P8(x431,x433,x434)
% 0.20/0.57 [44]P8(x443,x442,x444)+~E(x441,x442)+~P8(x443,x441,x444)
% 0.20/0.57 [45]P8(x453,x454,x452)+~E(x451,x452)+~P8(x453,x454,x451)
% 0.20/0.57 [46]P11(x462,x463,x464)+~E(x461,x462)+~P11(x461,x463,x464)
% 0.20/0.57 [47]P11(x473,x472,x474)+~E(x471,x472)+~P11(x473,x471,x474)
% 0.20/0.57 [48]P11(x483,x484,x482)+~E(x481,x482)+~P11(x483,x484,x481)
% 0.20/0.57 [49]P9(x492,x493,x494)+~E(x491,x492)+~P9(x491,x493,x494)
% 0.20/0.57 [50]P9(x503,x502,x504)+~E(x501,x502)+~P9(x503,x501,x504)
% 0.20/0.57 [51]P9(x513,x514,x512)+~E(x511,x512)+~P9(x513,x514,x511)
% 0.20/0.57 [52]P12(x522,x523,x524)+~E(x521,x522)+~P12(x521,x523,x524)
% 0.20/0.57 [53]P12(x533,x532,x534)+~E(x531,x532)+~P12(x533,x531,x534)
% 0.20/0.57 [54]P12(x543,x544,x542)+~E(x541,x542)+~P12(x543,x544,x541)
% 0.20/0.57 [55]~P10(x551)+P10(x552)+~E(x551,x552)
% 0.20/0.57 [56]P5(x562,x563)+~E(x561,x562)+~P5(x561,x563)
% 0.20/0.57 [57]P5(x573,x572)+~E(x571,x572)+~P5(x573,x571)
% 0.20/0.57 [58]P15(x582,x583)+~E(x581,x582)+~P15(x581,x583)
% 0.20/0.57 [59]P15(x593,x592)+~E(x591,x592)+~P15(x593,x591)
% 0.20/0.57 [60]~P13(x601)+P13(x602)+~E(x601,x602)
% 0.20/0.57 [61]~P4(x611)+P4(x612)+~E(x611,x612)
% 0.20/0.57
% 0.20/0.57 %-------------------------------------------
% 0.20/0.57 cnf(124,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(scs_inference,[],[74,71]),
% 0.20/0.57 ['proof']).
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 % Total time :0.000000s
%------------------------------------------------------------------------------