TSTP Solution File: COM021+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COM021+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 : Wed Aug 30 18:35:14 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 13:21:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 % File :CSE---1.6
% 0.20/0.74 % Problem :theBenchmark
% 0.20/0.74 % Transform :cnf
% 0.20/0.74 % Format :tptp:raw
% 0.20/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.74
% 0.20/0.74 % Result :Theorem 0.090000s
% 0.20/0.74 % Output :CNFRefutation 0.090000s
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 %------------------------------------------------------------------------------
% 0.20/0.74 % File : COM021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.74 % Domain : Computing Theory
% 0.20/0.74 % Problem : Newman's lemma on rewriting systems 03_01_05_02, 00 expansion
% 0.20/0.74 % Version : Especial.
% 0.20/0.74 % English :
% 0.20/0.75
% 0.20/0.75 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.20/0.75 % : [PV+07] Paskevich et al. (2007), Reasoning Inside a Formula an
% 0.20/0.75 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.20/0.75 % Source : [Pas08]
% 0.20/0.75 % Names : newman_03_01_05_02.00 [Pas08]
% 0.20/0.75
% 0.20/0.75 % Status : Theorem
% 0.20/0.75 % Rating : 0.31 v7.5.0, 0.34 v7.4.0, 0.27 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.20 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.65 v4.0.0
% 0.20/0.75 % Syntax : Number of formulae : 25 ( 3 unt; 6 def)
% 0.20/0.75 % Number of atoms : 112 ( 1 equ)
% 0.20/0.75 % Maximal formula atoms : 10 ( 4 avg)
% 0.20/0.75 % Number of connectives : 88 ( 1 ~; 2 |; 53 &)
% 0.20/0.75 % ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% 0.20/0.75 % Maximal formula depth : 12 ( 6 avg)
% 0.20/0.75 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.75 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 0.20/0.75 % Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% 0.20/0.75 % Number of variables : 49 ( 43 !; 6 ?)
% 0.20/0.75 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.75
% 0.20/0.75 % Comments : Problem generated by the SAD system [VLP07]
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 fof(mElmSort,axiom,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( aElement0(W0)
% 0.20/0.75 => $true ) ).
% 0.20/0.75
% 0.20/0.75 fof(mRelSort,axiom,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( aRewritingSystem0(W0)
% 0.20/0.75 => $true ) ).
% 0.20/0.75
% 0.20/0.75 fof(mReduct,axiom,
% 0.20/0.75 ! [W0,W1] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1) )
% 0.20/0.75 => ! [W2] :
% 0.20/0.75 ( aReductOfIn0(W2,W0,W1)
% 0.20/0.75 => aElement0(W2) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mWFOrd,axiom,
% 0.20/0.75 ! [W0,W1] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aElement0(W1) )
% 0.20/0.75 => ( iLess0(W0,W1)
% 0.20/0.75 => $true ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTCbr,axiom,
% 0.20/0.75 ! [W0,W1,W2] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1)
% 0.20/0.75 & aElement0(W2) )
% 0.20/0.75 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.20/0.75 => $true ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTCDef,definition,
% 0.20/0.75 ! [W0,W1,W2] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1)
% 0.20/0.75 & aElement0(W2) )
% 0.20/0.75 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.20/0.75 <=> ( aReductOfIn0(W2,W0,W1)
% 0.20/0.75 | ? [W3] :
% 0.20/0.75 ( aElement0(W3)
% 0.20/0.75 & aReductOfIn0(W3,W0,W1)
% 0.20/0.75 & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTCTrans,axiom,
% 0.20/0.75 ! [W0,W1,W2,W3] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1)
% 0.20/0.75 & aElement0(W2)
% 0.20/0.75 & aElement0(W3) )
% 0.20/0.75 => ( ( sdtmndtplgtdt0(W0,W1,W2)
% 0.20/0.75 & sdtmndtplgtdt0(W2,W1,W3) )
% 0.20/0.75 => sdtmndtplgtdt0(W0,W1,W3) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTCRDef,definition,
% 0.20/0.75 ! [W0,W1,W2] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1)
% 0.20/0.75 & aElement0(W2) )
% 0.20/0.75 => ( sdtmndtasgtdt0(W0,W1,W2)
% 0.20/0.75 <=> ( W0 = W2
% 0.20/0.75 | sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTCRTrans,axiom,
% 0.20/0.75 ! [W0,W1,W2,W3] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1)
% 0.20/0.75 & aElement0(W2)
% 0.20/0.75 & aElement0(W3) )
% 0.20/0.75 => ( ( sdtmndtasgtdt0(W0,W1,W2)
% 0.20/0.75 & sdtmndtasgtdt0(W2,W1,W3) )
% 0.20/0.75 => sdtmndtasgtdt0(W0,W1,W3) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mCRDef,definition,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( aRewritingSystem0(W0)
% 0.20/0.75 => ( isConfluent0(W0)
% 0.20/0.75 <=> ! [W1,W2,W3] :
% 0.20/0.75 ( ( aElement0(W1)
% 0.20/0.75 & aElement0(W2)
% 0.20/0.75 & aElement0(W3)
% 0.20/0.75 & sdtmndtasgtdt0(W1,W0,W2)
% 0.20/0.75 & sdtmndtasgtdt0(W1,W0,W3) )
% 0.20/0.75 => ? [W4] :
% 0.20/0.75 ( aElement0(W4)
% 0.20/0.75 & sdtmndtasgtdt0(W2,W0,W4)
% 0.20/0.75 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mWCRDef,definition,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( aRewritingSystem0(W0)
% 0.20/0.75 => ( isLocallyConfluent0(W0)
% 0.20/0.75 <=> ! [W1,W2,W3] :
% 0.20/0.75 ( ( aElement0(W1)
% 0.20/0.75 & aElement0(W2)
% 0.20/0.75 & aElement0(W3)
% 0.20/0.75 & aReductOfIn0(W2,W1,W0)
% 0.20/0.75 & aReductOfIn0(W3,W1,W0) )
% 0.20/0.75 => ? [W4] :
% 0.20/0.75 ( aElement0(W4)
% 0.20/0.75 & sdtmndtasgtdt0(W2,W0,W4)
% 0.20/0.75 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTermin,definition,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( aRewritingSystem0(W0)
% 0.20/0.75 => ( isTerminating0(W0)
% 0.20/0.75 <=> ! [W1,W2] :
% 0.20/0.75 ( ( aElement0(W1)
% 0.20/0.75 & aElement0(W2) )
% 0.20/0.75 => ( sdtmndtplgtdt0(W1,W0,W2)
% 0.20/0.75 => iLess0(W2,W1) ) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mNFRDef,definition,
% 0.20/0.75 ! [W0,W1] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aRewritingSystem0(W1) )
% 0.20/0.75 => ! [W2] :
% 0.20/0.75 ( aNormalFormOfIn0(W2,W0,W1)
% 0.20/0.75 <=> ( aElement0(W2)
% 0.20/0.75 & sdtmndtasgtdt0(W0,W1,W2)
% 0.20/0.75 & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(mTermNF,axiom,
% 0.20/0.75 ! [W0] :
% 0.20/0.75 ( ( aRewritingSystem0(W0)
% 0.20/0.75 & isTerminating0(W0) )
% 0.20/0.75 => ! [W1] :
% 0.20/0.75 ( aElement0(W1)
% 0.20/0.75 => ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__656,hypothesis,
% 0.20/0.75 aRewritingSystem0(xR) ).
% 0.20/0.75
% 0.20/0.75 fof(m__656_01,hypothesis,
% 0.20/0.75 ( isLocallyConfluent0(xR)
% 0.20/0.75 & isTerminating0(xR) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__731,hypothesis,
% 0.20/0.75 ( aElement0(xa)
% 0.20/0.75 & aElement0(xb)
% 0.20/0.75 & aElement0(xc) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__715,hypothesis,
% 0.20/0.75 ! [W0,W1,W2] :
% 0.20/0.75 ( ( aElement0(W0)
% 0.20/0.75 & aElement0(W1)
% 0.20/0.75 & aElement0(W2)
% 0.20/0.75 & sdtmndtasgtdt0(W0,xR,W1)
% 0.20/0.75 & sdtmndtasgtdt0(W0,xR,W2) )
% 0.20/0.75 => ( iLess0(W0,xa)
% 0.20/0.75 => ? [W3] :
% 0.20/0.75 ( aElement0(W3)
% 0.20/0.75 & sdtmndtasgtdt0(W1,xR,W3)
% 0.20/0.75 & sdtmndtasgtdt0(W2,xR,W3) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__731_02,hypothesis,
% 0.20/0.75 ( sdtmndtplgtdt0(xa,xR,xb)
% 0.20/0.75 & sdtmndtplgtdt0(xa,xR,xc) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__755,hypothesis,
% 0.20/0.75 ( aElement0(xu)
% 0.20/0.75 & aReductOfIn0(xu,xa,xR)
% 0.20/0.75 & sdtmndtasgtdt0(xu,xR,xb) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__779,hypothesis,
% 0.20/0.75 ( aElement0(xv)
% 0.20/0.75 & aReductOfIn0(xv,xa,xR)
% 0.20/0.75 & sdtmndtasgtdt0(xv,xR,xc) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__799,hypothesis,
% 0.20/0.75 ( aElement0(xw)
% 0.20/0.75 & sdtmndtasgtdt0(xu,xR,xw)
% 0.20/0.75 & sdtmndtasgtdt0(xv,xR,xw) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__818,hypothesis,
% 0.20/0.75 aNormalFormOfIn0(xd,xw,xR) ).
% 0.20/0.75
% 0.20/0.75 fof(m__850,hypothesis,
% 0.20/0.75 ( aElement0(xx)
% 0.20/0.75 & sdtmndtasgtdt0(xb,xR,xx)
% 0.20/0.75 & sdtmndtasgtdt0(xd,xR,xx) ) ).
% 0.20/0.75
% 0.20/0.75 fof(m__,conjecture,
% 0.20/0.75 sdtmndtasgtdt0(xb,xR,xd) ).
% 0.20/0.75
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 %-------------------------------------------
% 0.20/0.75 % Proof found
% 0.20/0.75 % SZS status Theorem for theBenchmark
% 0.20/0.75 % SZS output start Proof
% 0.20/0.75 %ClaNum:113(EqnAxiom:49)
% 0.20/0.75 %VarNum:378(SingletonVarNum:105)
% 0.20/0.75 %MaxLitNum:8
% 0.20/0.75 %MaxfuncDepth:1
% 0.20/0.75 %SharedTerms:31
% 0.20/0.75 %goalClause: 71
% 0.20/0.75 %singleGoalClaCount:1
% 0.20/0.75 [50]P1(a1)
% 0.20/0.75 [51]P1(a17)
% 0.20/0.75 [52]P1(a18)
% 0.20/0.75 [53]P1(a19)
% 0.20/0.75 [54]P1(a21)
% 0.20/0.75 [55]P1(a22)
% 0.20/0.75 [56]P1(a23)
% 0.20/0.75 [57]P2(a2)
% 0.20/0.75 [58]P5(a2)
% 0.20/0.75 [59]P8(a2)
% 0.20/0.75 [60]P3(a19,a1,a2)
% 0.20/0.75 [61]P3(a21,a1,a2)
% 0.20/0.75 [62]P9(a1,a2,a17)
% 0.20/0.75 [63]P9(a1,a2,a18)
% 0.20/0.75 [64]P10(a17,a2,a23)
% 0.20/0.75 [65]P10(a19,a2,a17)
% 0.20/0.75 [66]P10(a19,a2,a22)
% 0.20/0.75 [67]P10(a21,a2,a18)
% 0.20/0.76 [68]P10(a21,a2,a22)
% 0.20/0.76 [69]P10(a20,a2,a23)
% 0.20/0.76 [70]P4(a20,a22,a2)
% 0.20/0.76 [71]~P10(a17,a2,a20)
% 0.20/0.76 [72]~P2(x721)+P6(x721)+P1(f3(x721))
% 0.20/0.76 [73]~P2(x731)+P6(x731)+P1(f11(x731))
% 0.20/0.76 [74]~P2(x741)+P6(x741)+P1(f12(x741))
% 0.20/0.76 [75]~P2(x751)+P5(x751)+P1(f13(x751))
% 0.20/0.76 [76]~P2(x761)+P5(x761)+P1(f15(x761))
% 0.20/0.76 [77]~P2(x771)+P5(x771)+P1(f16(x771))
% 0.20/0.76 [78]~P2(x781)+P8(x781)+P1(f4(x781))
% 0.20/0.76 [79]~P2(x791)+P8(x791)+P1(f5(x791))
% 0.20/0.76 [80]~P2(x801)+P8(x801)+~P7(f5(x801),f4(x801))
% 0.20/0.76 [81]~P2(x811)+P6(x811)+P10(f3(x811),x811,f11(x811))
% 0.20/0.76 [82]~P2(x821)+P6(x821)+P10(f3(x821),x821,f12(x821))
% 0.20/0.76 [83]~P2(x831)+P8(x831)+P9(f4(x831),x831,f5(x831))
% 0.20/0.76 [84]~P2(x841)+P5(x841)+P3(f15(x841),f13(x841),x841)
% 0.20/0.76 [85]~P2(x851)+P5(x851)+P3(f16(x851),f13(x851),x851)
% 0.20/0.76 [87]~P1(x872)+~P2(x871)+~P8(x871)+P4(f6(x871,x872),x872,x871)
% 0.20/0.76 [88]~P3(x881,x882,x883)+P1(x881)+~P1(x882)+~P2(x883)
% 0.20/0.76 [89]~P4(x891,x892,x893)+P1(x891)+~P1(x892)+~P2(x893)
% 0.20/0.76 [91]~P1(x911)+~P2(x912)+~P4(x913,x911,x912)+P10(x911,x912,x913)
% 0.20/0.76 [95]~P4(x954,x951,x952)+~P1(x951)+~P3(x953,x954,x952)+~P2(x952)
% 0.20/0.76 [96]~P2(x961)+P6(x961)+~P1(x962)+~P10(f11(x961),x961,x962)+~P10(f12(x961),x961,x962)
% 0.20/0.76 [97]~P2(x971)+P5(x971)+~P1(x972)+~P10(f15(x971),x971,x972)+~P10(f16(x971),x971,x972)
% 0.20/0.76 [86]~E(x861,x863)+~P1(x863)+~P1(x861)+~P2(x862)+P10(x861,x862,x863)
% 0.20/0.76 [92]~P1(x921)+~P1(x923)+~P2(x922)+~P3(x923,x921,x922)+P9(x921,x922,x923)
% 0.20/0.76 [93]~P1(x933)+~P1(x931)+~P2(x932)+~P9(x931,x932,x933)+P10(x931,x932,x933)
% 0.20/0.76 [90]~P1(x901)+~P1(x902)+~P8(x903)+~P9(x902,x903,x901)+P7(x901,x902)+~P2(x903)
% 0.20/0.76 [94]~P1(x942)+~P1(x941)+~P2(x943)+~P10(x941,x943,x942)+E(x941,x942)+P9(x941,x943,x942)
% 0.20/0.76 [101]~P1(x1011)+~P1(x1012)+~P2(x1013)+~P9(x1012,x1013,x1011)+P3(x1011,x1012,x1013)+P1(f8(x1012,x1013,x1011))
% 0.20/0.76 [103]~P1(x1031)+~P1(x1032)+~P2(x1033)+~P9(x1032,x1033,x1031)+P3(x1031,x1032,x1033)+P3(f8(x1032,x1033,x1031),x1032,x1033)
% 0.20/0.76 [104]~P1(x1041)+~P1(x1042)+~P2(x1043)+~P9(x1042,x1043,x1041)+P3(x1041,x1042,x1043)+P9(f8(x1042,x1043,x1041),x1043,x1041)
% 0.20/0.76 [105]~P1(x1052)+~P1(x1051)+~P2(x1053)+~P10(x1052,x1053,x1051)+P4(x1051,x1052,x1053)+P3(f7(x1052,x1053,x1051),x1051,x1053)
% 0.20/0.76 [102]~P1(x1023)+~P1(x1022)+~P1(x1021)+~P10(x1021,a2,x1023)+~P10(x1021,a2,x1022)+~P7(x1021,a1)+P1(f9(x1021,x1022,x1023))
% 0.20/0.76 [106]~P1(x1063)+~P1(x1062)+~P1(x1061)+~P10(x1062,a2,x1063)+~P10(x1062,a2,x1061)+~P7(x1062,a1)+P10(x1061,a2,f9(x1062,x1063,x1061))
% 0.20/0.76 [107]~P1(x1073)+~P1(x1072)+~P1(x1071)+~P10(x1072,a2,x1073)+~P10(x1072,a2,x1071)+~P7(x1072,a1)+P10(x1071,a2,f9(x1072,x1071,x1073))
% 0.20/0.76 [98]~P1(x983)+~P1(x981)+~P2(x982)+~P3(x984,x981,x982)+~P9(x984,x982,x983)+P9(x981,x982,x983)+~P1(x984)
% 0.20/0.76 [99]~P1(x993)+~P1(x991)+~P2(x992)+~P9(x994,x992,x993)+~P9(x991,x992,x994)+P9(x991,x992,x993)+~P1(x994)
% 0.20/0.76 [100]~P1(x1003)+~P1(x1001)+~P2(x1002)+~P10(x1004,x1002,x1003)+~P10(x1001,x1002,x1004)+P10(x1001,x1002,x1003)+~P1(x1004)
% 0.20/0.76 [108]~P1(x1084)+~P1(x1083)+~P1(x1082)+~P2(x1081)+~P6(x1081)+~P10(x1082,x1081,x1084)+~P10(x1082,x1081,x1083)+P1(f10(x1081,x1082,x1083,x1084))
% 0.20/0.76 [109]~P1(x1094)+~P1(x1093)+~P1(x1092)+~P2(x1091)+~P5(x1091)+~P3(x1094,x1092,x1091)+~P3(x1093,x1092,x1091)+P1(f14(x1091,x1092,x1093,x1094))
% 0.20/0.76 [110]~P1(x1104)+~P1(x1103)+~P1(x1101)+~P2(x1102)+~P6(x1102)+~P10(x1103,x1102,x1104)+~P10(x1103,x1102,x1101)+P10(x1101,x1102,f10(x1102,x1103,x1104,x1101))
% 0.20/0.76 [111]~P1(x1114)+~P1(x1113)+~P1(x1111)+~P2(x1112)+~P6(x1112)+~P10(x1113,x1112,x1114)+~P10(x1113,x1112,x1111)+P10(x1111,x1112,f10(x1112,x1113,x1111,x1114))
% 0.20/0.76 [112]~P1(x1124)+~P1(x1123)+~P1(x1121)+~P2(x1122)+~P5(x1122)+~P3(x1124,x1123,x1122)+~P3(x1121,x1123,x1122)+P10(x1121,x1122,f14(x1122,x1123,x1124,x1121))
% 0.20/0.76 [113]~P1(x1134)+~P1(x1133)+~P1(x1131)+~P2(x1132)+~P5(x1132)+~P3(x1134,x1133,x1132)+~P3(x1131,x1133,x1132)+P10(x1131,x1132,f14(x1132,x1133,x1131,x1134))
% 0.20/0.76 %EqnAxiom
% 0.20/0.76 [1]E(x11,x11)
% 0.20/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.76 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.20/0.76 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.20/0.76 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 0.20/0.76 [7]~E(x71,x72)+E(f13(x71),f13(x72))
% 0.20/0.76 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.20/0.76 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.20/0.76 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 0.20/0.76 [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 0.20/0.76 [12]~E(x121,x122)+E(f8(x121,x123,x124),f8(x122,x123,x124))
% 0.20/0.76 [13]~E(x131,x132)+E(f8(x133,x131,x134),f8(x133,x132,x134))
% 0.20/0.76 [14]~E(x141,x142)+E(f8(x143,x144,x141),f8(x143,x144,x142))
% 0.20/0.76 [15]~E(x151,x152)+E(f10(x151,x153,x154,x155),f10(x152,x153,x154,x155))
% 0.20/0.76 [16]~E(x161,x162)+E(f10(x163,x161,x164,x165),f10(x163,x162,x164,x165))
% 0.20/0.76 [17]~E(x171,x172)+E(f10(x173,x174,x171,x175),f10(x173,x174,x172,x175))
% 0.20/0.76 [18]~E(x181,x182)+E(f10(x183,x184,x185,x181),f10(x183,x184,x185,x182))
% 0.20/0.76 [19]~E(x191,x192)+E(f14(x191,x193,x194,x195),f14(x192,x193,x194,x195))
% 0.20/0.76 [20]~E(x201,x202)+E(f14(x203,x201,x204,x205),f14(x203,x202,x204,x205))
% 0.20/0.76 [21]~E(x211,x212)+E(f14(x213,x214,x211,x215),f14(x213,x214,x212,x215))
% 0.20/0.76 [22]~E(x221,x222)+E(f14(x223,x224,x225,x221),f14(x223,x224,x225,x222))
% 0.20/0.76 [23]~E(x231,x232)+E(f9(x231,x233,x234),f9(x232,x233,x234))
% 0.20/0.76 [24]~E(x241,x242)+E(f9(x243,x241,x244),f9(x243,x242,x244))
% 0.20/0.76 [25]~E(x251,x252)+E(f9(x253,x254,x251),f9(x253,x254,x252))
% 0.20/0.76 [26]~E(x261,x262)+E(f6(x261,x263),f6(x262,x263))
% 0.20/0.76 [27]~E(x271,x272)+E(f6(x273,x271),f6(x273,x272))
% 0.20/0.76 [28]~E(x281,x282)+E(f7(x281,x283,x284),f7(x282,x283,x284))
% 0.20/0.76 [29]~E(x291,x292)+E(f7(x293,x291,x294),f7(x293,x292,x294))
% 0.20/0.76 [30]~E(x301,x302)+E(f7(x303,x304,x301),f7(x303,x304,x302))
% 0.20/0.76 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.20/0.76 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.20/0.76 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.20/0.76 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.20/0.76 [35]P10(x352,x353,x354)+~E(x351,x352)+~P10(x351,x353,x354)
% 0.20/0.76 [36]P10(x363,x362,x364)+~E(x361,x362)+~P10(x363,x361,x364)
% 0.20/0.76 [37]P10(x373,x374,x372)+~E(x371,x372)+~P10(x373,x374,x371)
% 0.20/0.76 [38]~P5(x381)+P5(x382)+~E(x381,x382)
% 0.20/0.76 [39]~P2(x391)+P2(x392)+~E(x391,x392)
% 0.20/0.76 [40]P9(x402,x403,x404)+~E(x401,x402)+~P9(x401,x403,x404)
% 0.20/0.76 [41]P9(x413,x412,x414)+~E(x411,x412)+~P9(x413,x411,x414)
% 0.20/0.76 [42]P9(x423,x424,x422)+~E(x421,x422)+~P9(x423,x424,x421)
% 0.20/0.76 [43]P7(x432,x433)+~E(x431,x432)+~P7(x431,x433)
% 0.20/0.76 [44]P7(x443,x442)+~E(x441,x442)+~P7(x443,x441)
% 0.20/0.76 [45]P4(x452,x453,x454)+~E(x451,x452)+~P4(x451,x453,x454)
% 0.20/0.76 [46]P4(x463,x462,x464)+~E(x461,x462)+~P4(x463,x461,x464)
% 0.20/0.76 [47]P4(x473,x474,x472)+~E(x471,x472)+~P4(x473,x474,x471)
% 0.20/0.76 [48]~P6(x481)+P6(x482)+~E(x481,x482)
% 0.20/0.76 [49]~P8(x491)+P8(x492)+~E(x491,x492)
% 0.20/0.76
% 0.20/0.76 %-------------------------------------------
% 0.65/0.76 cnf(115,plain,
% 0.65/0.76 (~P4(a1,a1,a2)),
% 0.65/0.76 inference(scs_inference,[],[71,50,57,60,64,37,95])).
% 0.65/0.76 cnf(125,plain,
% 0.65/0.76 (P1(a20)),
% 0.65/0.76 inference(scs_inference,[],[71,50,51,53,55,57,59,60,62,64,70,37,95,91,93,92,90,2,49,46,89])).
% 0.65/0.76 cnf(127,plain,
% 0.65/0.76 (P4(f6(a2,a1),a1,a2)),
% 0.65/0.76 inference(scs_inference,[],[71,50,51,53,55,57,59,60,62,64,70,37,95,91,93,92,90,2,49,46,89,87])).
% 0.65/0.76 cnf(131,plain,
% 0.65/0.76 (P9(a20,a2,a23)),
% 0.65/0.76 inference(scs_inference,[],[71,50,51,53,55,56,57,59,60,62,64,69,70,37,95,91,93,92,90,2,49,46,89,87,86,94])).
% 0.65/0.76 cnf(157,plain,
% 0.65/0.76 (~P3(x1571,a20,a2)),
% 0.65/0.76 inference(scs_inference,[],[55,70,57,127,115,45,95])).
% 0.65/0.76 cnf(161,plain,
% 0.65/0.76 (~P9(a17,a2,a20)),
% 0.65/0.76 inference(scs_inference,[],[71,54,61,55,70,58,51,50,57,127,115,125,45,95,109,93])).
% 0.65/0.76 cnf(165,plain,
% 0.65/0.76 (P4(f6(a2,a18),a18,a2)),
% 0.65/0.76 inference(scs_inference,[],[71,52,54,61,55,70,58,59,51,50,57,127,115,125,45,95,109,93,91,87])).
% 0.65/0.76 cnf(177,plain,
% 0.65/0.76 (~P9(a20,a2,a21)+P3(f8(a20,a2,a21),a20,a2)),
% 0.65/0.76 inference(scs_inference,[],[71,52,54,61,55,70,58,59,51,50,57,127,115,125,45,95,109,93,91,87,113,47,33,89,88,104,103])).
% 0.65/0.76 cnf(189,plain,
% 0.65/0.76 (~P3(x1891,a20,a2)),
% 0.65/0.76 inference(rename_variables,[],[157])).
% 0.65/0.76 cnf(197,plain,
% 0.65/0.76 (P3(a23,a20,a2)),
% 0.65/0.76 inference(scs_inference,[],[52,56,64,51,57,161,157,189,165,131,125,71,177,42,92,100,95,103])).
% 0.65/0.76 cnf(236,plain,
% 0.65/0.76 ($false),
% 0.65/0.76 inference(scs_inference,[],[197,157]),
% 0.65/0.76 ['proof']).
% 0.65/0.76 % SZS output end Proof
% 0.65/0.76 % Total time :0.090000s
%------------------------------------------------------------------------------