TSTP Solution File: COM023+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COM023+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 : 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 : Wed Aug 30 18:35:15 EDT 2023
% Result : Theorem 0.52s 0.93s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 13:02:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.52/0.92 %-------------------------------------------
% 0.52/0.92 % File :CSE---1.6
% 0.52/0.92 % Problem :theBenchmark
% 0.52/0.92 % Transform :cnf
% 0.52/0.92 % Format :tptp:raw
% 0.52/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.92
% 0.52/0.92 % Result :Theorem 0.300000s
% 0.52/0.92 % Output :CNFRefutation 0.300000s
% 0.52/0.92 %-------------------------------------------
% 0.52/0.92 %------------------------------------------------------------------------------
% 0.52/0.92 % File : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.52/0.92 % Domain : Computing Theory
% 0.52/0.92 % Problem : Newman's lemma on rewriting systems 03_02, 00 expansion
% 0.52/0.92 % Version : Especial.
% 0.52/0.92 % English :
% 0.52/0.92
% 0.52/0.92 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.52/0.92 % : [PV+07] Paskevich et al. (2007), Reasoning Inside a Formula an
% 0.52/0.92 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.52/0.92 % Source : [Pas08]
% 0.52/0.92 % Names : newman_03_02.00 [Pas08]
% 0.52/0.92
% 0.52/0.92 % Status : Theorem
% 0.52/0.92 % Rating : 0.19 v8.1.0, 0.08 v7.5.0, 0.12 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.33 v4.1.0, 0.43 v4.0.1, 0.78 v4.0.0
% 0.52/0.92 % Syntax : Number of formulae : 18 ( 2 unt; 6 def)
% 0.52/0.92 % Number of atoms : 93 ( 1 equ)
% 0.52/0.92 % Maximal formula atoms : 10 ( 5 avg)
% 0.52/0.92 % Number of connectives : 76 ( 1 ~; 2 |; 42 &)
% 0.52/0.92 % ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% 0.52/0.92 % Maximal formula depth : 12 ( 7 avg)
% 0.52/0.92 % Maximal term depth : 1 ( 1 avg)
% 0.52/0.92 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 0.52/0.92 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.52/0.92 % Number of variables : 49 ( 43 !; 6 ?)
% 0.52/0.92 % SPC : FOF_THM_RFO_SEQ
% 0.52/0.92
% 0.52/0.92 % Comments : Problem generated by the SAD system [VLP07]
% 0.52/0.92 %------------------------------------------------------------------------------
% 0.52/0.92 fof(mElmSort,axiom,
% 0.52/0.92 ! [W0] :
% 0.52/0.92 ( aElement0(W0)
% 0.52/0.93 => $true ) ).
% 0.52/0.93
% 0.52/0.93 fof(mRelSort,axiom,
% 0.52/0.93 ! [W0] :
% 0.52/0.93 ( aRewritingSystem0(W0)
% 0.52/0.93 => $true ) ).
% 0.52/0.93
% 0.52/0.93 fof(mReduct,axiom,
% 0.52/0.93 ! [W0,W1] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1) )
% 0.52/0.93 => ! [W2] :
% 0.52/0.93 ( aReductOfIn0(W2,W0,W1)
% 0.52/0.93 => aElement0(W2) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mWFOrd,axiom,
% 0.52/0.93 ! [W0,W1] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aElement0(W1) )
% 0.52/0.93 => ( iLess0(W0,W1)
% 0.52/0.93 => $true ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTCbr,axiom,
% 0.52/0.93 ! [W0,W1,W2] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1)
% 0.52/0.93 & aElement0(W2) )
% 0.52/0.93 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.52/0.93 => $true ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTCDef,definition,
% 0.52/0.93 ! [W0,W1,W2] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1)
% 0.52/0.93 & aElement0(W2) )
% 0.52/0.93 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.52/0.93 <=> ( aReductOfIn0(W2,W0,W1)
% 0.52/0.93 | ? [W3] :
% 0.52/0.93 ( aElement0(W3)
% 0.52/0.93 & aReductOfIn0(W3,W0,W1)
% 0.52/0.93 & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTCTrans,axiom,
% 0.52/0.93 ! [W0,W1,W2,W3] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1)
% 0.52/0.93 & aElement0(W2)
% 0.52/0.93 & aElement0(W3) )
% 0.52/0.93 => ( ( sdtmndtplgtdt0(W0,W1,W2)
% 0.52/0.93 & sdtmndtplgtdt0(W2,W1,W3) )
% 0.52/0.93 => sdtmndtplgtdt0(W0,W1,W3) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTCRDef,definition,
% 0.52/0.93 ! [W0,W1,W2] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1)
% 0.52/0.93 & aElement0(W2) )
% 0.52/0.93 => ( sdtmndtasgtdt0(W0,W1,W2)
% 0.52/0.93 <=> ( W0 = W2
% 0.52/0.93 | sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTCRTrans,axiom,
% 0.52/0.93 ! [W0,W1,W2,W3] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1)
% 0.52/0.93 & aElement0(W2)
% 0.52/0.93 & aElement0(W3) )
% 0.52/0.93 => ( ( sdtmndtasgtdt0(W0,W1,W2)
% 0.52/0.93 & sdtmndtasgtdt0(W2,W1,W3) )
% 0.52/0.93 => sdtmndtasgtdt0(W0,W1,W3) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mCRDef,definition,
% 0.52/0.93 ! [W0] :
% 0.52/0.93 ( aRewritingSystem0(W0)
% 0.52/0.93 => ( isConfluent0(W0)
% 0.52/0.93 <=> ! [W1,W2,W3] :
% 0.52/0.93 ( ( aElement0(W1)
% 0.52/0.93 & aElement0(W2)
% 0.52/0.93 & aElement0(W3)
% 0.52/0.93 & sdtmndtasgtdt0(W1,W0,W2)
% 0.52/0.93 & sdtmndtasgtdt0(W1,W0,W3) )
% 0.52/0.93 => ? [W4] :
% 0.52/0.93 ( aElement0(W4)
% 0.52/0.93 & sdtmndtasgtdt0(W2,W0,W4)
% 0.52/0.93 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mWCRDef,definition,
% 0.52/0.93 ! [W0] :
% 0.52/0.93 ( aRewritingSystem0(W0)
% 0.52/0.93 => ( isLocallyConfluent0(W0)
% 0.52/0.93 <=> ! [W1,W2,W3] :
% 0.52/0.93 ( ( aElement0(W1)
% 0.52/0.93 & aElement0(W2)
% 0.52/0.93 & aElement0(W3)
% 0.52/0.93 & aReductOfIn0(W2,W1,W0)
% 0.52/0.93 & aReductOfIn0(W3,W1,W0) )
% 0.52/0.93 => ? [W4] :
% 0.52/0.93 ( aElement0(W4)
% 0.52/0.93 & sdtmndtasgtdt0(W2,W0,W4)
% 0.52/0.93 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTermin,definition,
% 0.52/0.93 ! [W0] :
% 0.52/0.93 ( aRewritingSystem0(W0)
% 0.52/0.93 => ( isTerminating0(W0)
% 0.52/0.93 <=> ! [W1,W2] :
% 0.52/0.93 ( ( aElement0(W1)
% 0.52/0.93 & aElement0(W2) )
% 0.52/0.93 => ( sdtmndtplgtdt0(W1,W0,W2)
% 0.52/0.93 => iLess0(W2,W1) ) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mNFRDef,definition,
% 0.52/0.93 ! [W0,W1] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aRewritingSystem0(W1) )
% 0.52/0.93 => ! [W2] :
% 0.52/0.93 ( aNormalFormOfIn0(W2,W0,W1)
% 0.52/0.93 <=> ( aElement0(W2)
% 0.52/0.93 & sdtmndtasgtdt0(W0,W1,W2)
% 0.52/0.93 & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(mTermNF,axiom,
% 0.52/0.93 ! [W0] :
% 0.52/0.93 ( ( aRewritingSystem0(W0)
% 0.52/0.93 & isTerminating0(W0) )
% 0.52/0.93 => ! [W1] :
% 0.52/0.93 ( aElement0(W1)
% 0.52/0.93 => ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(m__656,hypothesis,
% 0.52/0.93 aRewritingSystem0(xR) ).
% 0.52/0.93
% 0.52/0.93 fof(m__656_01,hypothesis,
% 0.52/0.93 ( isLocallyConfluent0(xR)
% 0.52/0.93 & isTerminating0(xR) ) ).
% 0.52/0.93
% 0.52/0.93 fof(m__715,hypothesis,
% 0.52/0.93 ! [W0,W1,W2] :
% 0.52/0.93 ( ( aElement0(W0)
% 0.52/0.93 & aElement0(W1)
% 0.52/0.93 & aElement0(W2)
% 0.52/0.93 & sdtmndtasgtdt0(W0,xR,W1)
% 0.52/0.93 & sdtmndtasgtdt0(W0,xR,W2) )
% 0.52/0.93 => ? [W3] :
% 0.52/0.93 ( aElement0(W3)
% 0.52/0.93 & sdtmndtasgtdt0(W1,xR,W3)
% 0.52/0.93 & sdtmndtasgtdt0(W2,xR,W3) ) ) ).
% 0.52/0.93
% 0.52/0.93 fof(m__,conjecture,
% 0.52/0.93 isConfluent0(xR) ).
% 0.52/0.93
% 0.52/0.93 %------------------------------------------------------------------------------
% 0.52/0.93 %-------------------------------------------
% 0.52/0.93 % Proof found
% 0.52/0.93 % SZS status Theorem for theBenchmark
% 0.52/0.93 % SZS output start Proof
% 0.52/0.93 %ClaNum:95(EqnAxiom:49)
% 0.52/0.93 %VarNum:375(SingletonVarNum:105)
% 0.52/0.93 %MaxLitNum:8
% 0.52/0.93 %MaxfuncDepth:1
% 0.52/0.93 %SharedTerms:5
% 0.52/0.93 %goalClause: 53
% 0.52/0.93 %singleGoalClaCount:1
% 0.52/0.93 [50]P1(a1)
% 0.52/0.93 [51]P5(a1)
% 0.52/0.93 [52]P8(a1)
% 0.52/0.93 [53]~P6(a1)
% 0.52/0.93 [54]~P1(x541)+P6(x541)+P2(f2(x541))
% 0.52/0.93 [55]~P1(x551)+P6(x551)+P2(f10(x551))
% 0.52/0.93 [56]~P1(x561)+P6(x561)+P2(f11(x561))
% 0.52/0.93 [57]~P1(x571)+P5(x571)+P2(f12(x571))
% 0.52/0.93 [58]~P1(x581)+P5(x581)+P2(f14(x581))
% 0.52/0.93 [59]~P1(x591)+P5(x591)+P2(f15(x591))
% 0.52/0.93 [60]~P1(x601)+P8(x601)+P2(f3(x601))
% 0.52/0.93 [61]~P1(x611)+P8(x611)+P2(f4(x611))
% 0.52/0.93 [62]~P1(x621)+P8(x621)+~P7(f4(x621),f3(x621))
% 0.52/0.93 [63]~P1(x631)+P6(x631)+P9(f2(x631),x631,f10(x631))
% 0.52/0.93 [64]~P1(x641)+P6(x641)+P9(f2(x641),x641,f11(x641))
% 0.52/0.93 [65]~P1(x651)+P8(x651)+P10(f3(x651),x651,f4(x651))
% 0.52/0.93 [66]~P1(x661)+P5(x661)+P3(f14(x661),f12(x661),x661)
% 0.52/0.93 [67]~P1(x671)+P5(x671)+P3(f15(x671),f12(x671),x671)
% 0.52/0.93 [69]~P2(x692)+~P1(x691)+~P8(x691)+P4(f5(x691,x692),x692,x691)
% 0.52/0.93 [70]~P3(x701,x702,x703)+P2(x701)+~P2(x702)+~P1(x703)
% 0.52/0.93 [71]~P4(x711,x712,x713)+P2(x711)+~P2(x712)+~P1(x713)
% 0.52/0.93 [73]~P2(x731)+~P1(x732)+~P4(x733,x731,x732)+P9(x731,x732,x733)
% 0.52/0.93 [77]~P4(x774,x771,x772)+~P2(x771)+~P3(x773,x774,x772)+~P1(x772)
% 0.52/0.93 [78]~P1(x781)+P6(x781)+~P2(x782)+~P9(f10(x781),x781,x782)+~P9(f11(x781),x781,x782)
% 0.52/0.93 [79]~P1(x791)+P5(x791)+~P2(x792)+~P9(f14(x791),x791,x792)+~P9(f15(x791),x791,x792)
% 0.52/0.93 [68]~E(x681,x683)+~P2(x683)+~P2(x681)+~P1(x682)+P9(x681,x682,x683)
% 0.52/0.93 [74]~P2(x741)+~P2(x743)+~P1(x742)+~P3(x743,x741,x742)+P10(x741,x742,x743)
% 0.52/0.93 [75]~P2(x753)+~P2(x751)+~P1(x752)+~P10(x751,x752,x753)+P9(x751,x752,x753)
% 0.52/0.93 [72]~P2(x721)+~P2(x722)+~P8(x723)+~P10(x722,x723,x721)+P7(x721,x722)+~P1(x723)
% 0.52/0.93 [76]~P2(x762)+~P2(x761)+~P1(x763)+~P9(x761,x763,x762)+E(x761,x762)+P10(x761,x763,x762)
% 0.52/0.93 [83]~P2(x831)+~P2(x832)+~P1(x833)+~P10(x832,x833,x831)+P3(x831,x832,x833)+P2(f7(x832,x833,x831))
% 0.52/0.93 [84]~P2(x843)+~P2(x842)+~P2(x841)+~P9(x841,a1,x843)+~P9(x841,a1,x842)+P2(f8(x841,x842,x843))
% 0.52/0.93 [85]~P2(x851)+~P2(x852)+~P1(x853)+~P10(x852,x853,x851)+P3(x851,x852,x853)+P3(f7(x852,x853,x851),x852,x853)
% 0.52/0.93 [86]~P2(x861)+~P2(x862)+~P1(x863)+~P10(x862,x863,x861)+P3(x861,x862,x863)+P10(f7(x862,x863,x861),x863,x861)
% 0.52/0.93 [87]~P2(x872)+~P2(x871)+~P1(x873)+~P9(x872,x873,x871)+P4(x871,x872,x873)+P3(f6(x872,x873,x871),x871,x873)
% 0.52/0.93 [88]~P2(x883)+~P2(x882)+~P2(x881)+~P9(x882,a1,x883)+~P9(x882,a1,x881)+P9(x881,a1,f8(x882,x883,x881))
% 0.52/0.93 [89]~P2(x893)+~P2(x892)+~P2(x891)+~P9(x892,a1,x893)+~P9(x892,a1,x891)+P9(x891,a1,f8(x892,x891,x893))
% 0.52/0.93 [80]~P2(x803)+~P2(x801)+~P1(x802)+~P3(x804,x801,x802)+~P10(x804,x802,x803)+P10(x801,x802,x803)+~P2(x804)
% 0.52/0.93 [81]~P2(x813)+~P2(x811)+~P1(x812)+~P10(x814,x812,x813)+~P10(x811,x812,x814)+P10(x811,x812,x813)+~P2(x814)
% 0.52/0.93 [82]~P2(x823)+~P2(x821)+~P1(x822)+~P9(x824,x822,x823)+~P9(x821,x822,x824)+P9(x821,x822,x823)+~P2(x824)
% 0.52/0.93 [90]~P2(x904)+~P2(x903)+~P2(x902)+~P1(x901)+~P6(x901)+~P9(x902,x901,x904)+~P9(x902,x901,x903)+P2(f9(x901,x902,x903,x904))
% 0.52/0.93 [91]~P2(x914)+~P2(x913)+~P2(x912)+~P1(x911)+~P5(x911)+~P3(x914,x912,x911)+~P3(x913,x912,x911)+P2(f13(x911,x912,x913,x914))
% 0.52/0.94 [92]~P2(x924)+~P2(x923)+~P2(x921)+~P1(x922)+~P6(x922)+~P9(x923,x922,x924)+~P9(x923,x922,x921)+P9(x921,x922,f9(x922,x923,x924,x921))
% 0.52/0.94 [93]~P2(x934)+~P2(x933)+~P2(x931)+~P1(x932)+~P6(x932)+~P9(x933,x932,x934)+~P9(x933,x932,x931)+P9(x931,x932,f9(x932,x933,x931,x934))
% 0.52/0.94 [94]~P2(x944)+~P2(x943)+~P2(x941)+~P1(x942)+~P5(x942)+~P3(x944,x943,x942)+~P3(x941,x943,x942)+P9(x941,x942,f13(x942,x943,x944,x941))
% 0.52/0.94 [95]~P2(x954)+~P2(x953)+~P2(x951)+~P1(x952)+~P5(x952)+~P3(x954,x953,x952)+~P3(x951,x953,x952)+P9(x951,x952,f13(x952,x953,x951,x954))
% 0.91/0.94 %EqnAxiom
% 0.91/0.94 [1]E(x11,x11)
% 0.91/0.94 [2]E(x22,x21)+~E(x21,x22)
% 0.91/0.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.91/0.94 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.91/0.94 [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 0.91/0.94 [6]~E(x61,x62)+E(f11(x61),f11(x62))
% 0.91/0.94 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 0.91/0.94 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 0.91/0.94 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 0.91/0.94 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 0.91/0.94 [11]~E(x111,x112)+E(f4(x111),f4(x112))
% 0.91/0.94 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124))
% 0.91/0.94 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134))
% 0.91/0.94 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142))
% 0.91/0.94 [15]~E(x151,x152)+E(f9(x151,x153,x154,x155),f9(x152,x153,x154,x155))
% 0.91/0.94 [16]~E(x161,x162)+E(f9(x163,x161,x164,x165),f9(x163,x162,x164,x165))
% 0.91/0.94 [17]~E(x171,x172)+E(f9(x173,x174,x171,x175),f9(x173,x174,x172,x175))
% 0.91/0.94 [18]~E(x181,x182)+E(f9(x183,x184,x185,x181),f9(x183,x184,x185,x182))
% 0.91/0.94 [19]~E(x191,x192)+E(f13(x191,x193,x194,x195),f13(x192,x193,x194,x195))
% 0.91/0.94 [20]~E(x201,x202)+E(f13(x203,x201,x204,x205),f13(x203,x202,x204,x205))
% 0.91/0.94 [21]~E(x211,x212)+E(f13(x213,x214,x211,x215),f13(x213,x214,x212,x215))
% 0.91/0.94 [22]~E(x221,x222)+E(f13(x223,x224,x225,x221),f13(x223,x224,x225,x222))
% 0.91/0.94 [23]~E(x231,x232)+E(f8(x231,x233,x234),f8(x232,x233,x234))
% 0.91/0.94 [24]~E(x241,x242)+E(f8(x243,x241,x244),f8(x243,x242,x244))
% 0.91/0.94 [25]~E(x251,x252)+E(f8(x253,x254,x251),f8(x253,x254,x252))
% 0.91/0.94 [26]~E(x261,x262)+E(f5(x261,x263),f5(x262,x263))
% 0.91/0.94 [27]~E(x271,x272)+E(f5(x273,x271),f5(x273,x272))
% 0.91/0.94 [28]~E(x281,x282)+E(f6(x281,x283,x284),f6(x282,x283,x284))
% 0.91/0.94 [29]~E(x291,x292)+E(f6(x293,x291,x294),f6(x293,x292,x294))
% 0.91/0.94 [30]~E(x301,x302)+E(f6(x303,x304,x301),f6(x303,x304,x302))
% 0.91/0.94 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.91/0.94 [32]~P5(x321)+P5(x322)+~E(x321,x322)
% 0.91/0.94 [33]~P8(x331)+P8(x332)+~E(x331,x332)
% 0.91/0.94 [34]~P6(x341)+P6(x342)+~E(x341,x342)
% 0.91/0.94 [35]P9(x352,x353,x354)+~E(x351,x352)+~P9(x351,x353,x354)
% 0.91/0.94 [36]P9(x363,x362,x364)+~E(x361,x362)+~P9(x363,x361,x364)
% 0.91/0.94 [37]P9(x373,x374,x372)+~E(x371,x372)+~P9(x373,x374,x371)
% 0.91/0.94 [38]~P2(x381)+P2(x382)+~E(x381,x382)
% 0.91/0.94 [39]P3(x392,x393,x394)+~E(x391,x392)+~P3(x391,x393,x394)
% 0.91/0.94 [40]P3(x403,x402,x404)+~E(x401,x402)+~P3(x403,x401,x404)
% 0.91/0.94 [41]P3(x413,x414,x412)+~E(x411,x412)+~P3(x413,x414,x411)
% 0.91/0.94 [42]P10(x422,x423,x424)+~E(x421,x422)+~P10(x421,x423,x424)
% 0.91/0.94 [43]P10(x433,x432,x434)+~E(x431,x432)+~P10(x433,x431,x434)
% 0.91/0.94 [44]P10(x443,x444,x442)+~E(x441,x442)+~P10(x443,x444,x441)
% 0.91/0.94 [45]P4(x452,x453,x454)+~E(x451,x452)+~P4(x451,x453,x454)
% 0.91/0.94 [46]P4(x463,x462,x464)+~E(x461,x462)+~P4(x463,x461,x464)
% 0.91/0.94 [47]P4(x473,x474,x472)+~E(x471,x472)+~P4(x473,x474,x471)
% 0.91/0.94 [48]P7(x482,x483)+~E(x481,x482)+~P7(x481,x483)
% 0.91/0.94 [49]P7(x493,x492)+~E(x491,x492)+~P7(x493,x491)
% 0.91/0.94
% 0.91/0.94 %-------------------------------------------
% 0.91/0.94 cnf(97,plain,
% 0.91/0.94 (P2(f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56])).
% 0.91/0.94 cnf(98,plain,
% 0.91/0.94 (P2(f10(a1))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55])).
% 0.91/0.94 cnf(100,plain,
% 0.91/0.94 (P2(f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54])).
% 0.91/0.94 cnf(102,plain,
% 0.91/0.94 (P9(f2(a1),a1,f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64])).
% 0.91/0.94 cnf(104,plain,
% 0.91/0.94 (P9(f2(a1),a1,f10(a1))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63])).
% 0.91/0.94 cnf(106,plain,
% 0.91/0.94 (P4(f5(a1,f11(a1)),f11(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69])).
% 0.91/0.94 cnf(108,plain,
% 0.91/0.94 (P9(f11(a1),a1,f8(f2(a1),f11(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89])).
% 0.91/0.94 cnf(110,plain,
% 0.91/0.94 (P9(f10(a1),a1,f8(f2(a1),f10(a1),f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89,88])).
% 0.91/0.94 cnf(112,plain,
% 0.91/0.94 (P2(f8(f2(a1),f11(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89,88,84])).
% 0.91/0.94 cnf(115,plain,
% 0.91/0.94 (~P3(x1151,f5(a1,f11(a1)),a1)),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89,88,84,34,77])).
% 0.91/0.94 cnf(117,plain,
% 0.91/0.94 (P9(f11(a1),a1,f5(a1,f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89,88,84,34,77,73])).
% 0.91/0.94 cnf(119,plain,
% 0.91/0.94 (P2(f5(a1,f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,52,33,56,55,54,64,63,69,89,88,84,34,77,73,71])).
% 0.91/0.94 cnf(136,plain,
% 0.91/0.94 (~P9(f10(a1),a1,f8(f2(a1),f11(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,50,112,108,78])).
% 0.91/0.94 cnf(140,plain,
% 0.91/0.94 (P4(f5(a1,f10(a1)),f10(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[53,52,50,112,108,98,78,73,69])).
% 0.91/0.94 cnf(146,plain,
% 0.91/0.94 (P2(f5(a1,f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,52,50,112,108,98,78,73,69,47,35,68,71])).
% 0.91/0.94 cnf(148,plain,
% 0.91/0.94 (~P10(f10(a1),a1,f8(f2(a1),f11(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[53,52,50,112,108,98,78,73,69,47,35,68,71,75])).
% 0.91/0.94 cnf(150,plain,
% 0.91/0.94 (~P3(f8(f2(a1),f11(a1),f11(a1)),f10(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[53,52,50,112,108,98,78,73,69,47,35,68,71,75,74])).
% 0.91/0.94 cnf(168,plain,
% 0.91/0.94 (~P9(f10(a1),a1,f5(a1,f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[50,119,117,53,78])).
% 0.91/0.94 cnf(205,plain,
% 0.91/0.94 (~P9(f10(a1),a1,f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[50,97,168,119,117,98,82])).
% 0.91/0.94 cnf(207,plain,
% 0.91/0.94 (P9(f10(a1),a1,f5(a1,f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[50,97,168,140,119,117,98,82,73])).
% 0.91/0.94 cnf(211,plain,
% 0.91/0.94 (~P10(f10(a1),a1,f5(a1,f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[50,97,168,140,119,148,110,117,98,82,73,44,37,75])).
% 0.91/0.94 cnf(213,plain,
% 0.91/0.94 (~P3(f5(a1,f11(a1)),f10(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[50,97,168,140,119,148,110,117,98,82,73,44,37,75,74])).
% 0.91/0.94 cnf(215,plain,
% 0.91/0.94 (~P9(f11(a1),a1,f5(a1,f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[50,97,146,168,140,119,148,110,117,53,98,82,73,44,37,75,74,78])).
% 0.91/0.94 cnf(234,plain,
% 0.91/0.94 (~P10(f5(a1,f11(a1)),a1,f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[50,97,146,115,168,106,140,119,148,110,117,53,100,98,82,73,37,75,74,78,85,68,77])).
% 0.91/0.94 cnf(241,plain,
% 0.91/0.94 (~P9(f11(a1),a1,f10(a1))),
% 0.91/0.94 inference(scs_inference,[],[97,98,207,215,140,146,50,77,82])).
% 0.91/0.94 cnf(245,plain,
% 0.91/0.94 (P2(f8(f2(a1),f10(a1),f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[97,98,234,205,207,215,140,146,104,100,50,77,82,43,37,84])).
% 0.91/0.94 cnf(279,plain,
% 0.91/0.94 (P4(f5(a1,f2(a1)),f2(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[52,100,50,69])).
% 0.91/0.94 cnf(281,plain,
% 0.91/0.94 (~P3(x2811,f5(a1,f2(a1)),a1)),
% 0.91/0.94 inference(scs_inference,[],[52,100,50,69,77])).
% 0.91/0.94 cnf(283,plain,
% 0.91/0.94 (~P9(f11(a1),a1,f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[52,100,98,97,241,104,50,69,77,82])).
% 0.91/0.94 cnf(290,plain,
% 0.91/0.94 (P3(f2(a1),f5(a1,f2(a1)),a1)+~P10(f5(a1,f2(a1)),a1,f2(a1))+~P2(f5(a1,f2(a1)))),
% 0.91/0.94 inference(scs_inference,[],[52,100,98,97,150,241,104,50,69,77,82,73,41,86,85])).
% 0.91/0.94 cnf(303,plain,
% 0.91/0.94 (~E(f2(a1),f10(a1))),
% 0.91/0.94 inference(scs_inference,[],[205,102,35])).
% 0.91/0.94 cnf(304,plain,
% 0.91/0.94 (~P9(f11(a1),a1,f8(f2(a1),f10(a1),f10(a1)))),
% 0.91/0.94 inference(scs_inference,[],[245,205,110,102,53,50,35,78])).
% 0.91/0.94 cnf(306,plain,
% 0.91/0.94 (~P4(f2(a1),f11(a1),a1)),
% 0.91/0.94 inference(scs_inference,[],[97,245,283,205,110,102,53,50,35,78,73])).
% 0.91/0.94 cnf(319,plain,
% 0.91/0.94 (~P10(f5(a1,f2(a1)),a1,f2(a1))+~P2(f5(a1,f2(a1)))),
% 0.91/0.94 inference(scs_inference,[],[281,290])).
% 0.91/0.94 cnf(320,plain,
% 0.91/0.94 (P2(f8(f2(a1),f10(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[97,102,100,98,104,84])).
% 0.91/0.94 cnf(325,plain,
% 0.91/0.94 (~E(f8(f2(a1),f11(a1),f11(a1)),f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[97,102,100,98,304,213,283,108,104,50,84,73,39,37])).
% 0.91/0.94 cnf(341,plain,
% 0.91/0.94 (~E(f2(a1),f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[100,279,241,104,50,71,35])).
% 0.91/0.94 cnf(344,plain,
% 0.91/0.94 (~P10(f5(a1,f2(a1)),a1,f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[97,100,215,279,241,104,50,71,35,73,319])).
% 0.91/0.94 cnf(348,plain,
% 0.91/0.94 (P9(f11(a1),a1,f11(a1))),
% 0.91/0.94 inference(scs_inference,[],[97,100,325,211,215,279,241,104,50,71,35,73,319,38,2,44,68])).
% 0.91/0.94 cnf(376,plain,
% 0.91/0.94 (~E(f11(a1),f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[98,104,100,344,348,303,306,136,304,283,279,106,51,52,97,50,37,76,36,45,91,43,81,47,72,68])).
% 0.91/0.94 cnf(389,plain,
% 0.91/0.94 (~P9(f10(a1),a1,f2(a1))),
% 0.91/0.94 inference(scs_inference,[],[98,102,100,341,205,97,50,76,82])).
% 0.91/0.94 cnf(435,plain,
% 0.91/0.94 (~P9(f11(a1),a1,f8(f2(a1),f10(a1),f11(a1)))),
% 0.91/0.94 inference(scs_inference,[],[100,102,104,389,376,320,53,97,98,50,88,75,3,89,78])).
% 0.91/0.94 cnf(449,plain,
% 0.91/0.94 ($false),
% 0.91/0.94 inference(scs_inference,[],[102,104,435,97,98,100,88]),
% 0.91/0.94 ['proof']).
% 0.91/0.94 % SZS output end Proof
% 0.91/0.94 % Total time :0.300000s
%------------------------------------------------------------------------------