TSTP Solution File: COM013+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COM013+4 : 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 : n011.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 18:35:11 EDT 2023
% Result : Theorem 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 12:49:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.55 start to proof:theBenchmark
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % File :CSE---1.6
% 0.21/0.64 % Problem :theBenchmark
% 0.21/0.64 % Transform :cnf
% 0.21/0.64 % Format :tptp:raw
% 0.21/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.64
% 0.21/0.64 % Result :Theorem 0.010000s
% 0.21/0.64 % Output :CNFRefutation 0.010000s
% 0.21/0.64 %-------------------------------------------
% 0.21/0.65 %------------------------------------------------------------------------------
% 0.21/0.65 % File : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.65 % Domain : Computing Theory
% 0.21/0.65 % Problem : Newman's lemma on rewriting systems 02, 03 expansion
% 0.21/0.65 % Version : Especial.
% 0.21/0.65 % English :
% 0.21/0.65
% 0.21/0.65 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.21/0.65 % : [PV+07] Paskevich et al. (2007), Reasoning Inside a Formula an
% 0.21/0.65 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.21/0.65 % Source : [Pas08]
% 0.21/0.65 % Names : newman_02.03 [Pas08]
% 0.21/0.65
% 0.21/0.65 % Status : Theorem
% 0.21/0.65 % Rating : 0.06 v8.1.0, 0.00 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.17 v6.0.0, 0.22 v5.5.0, 0.11 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.00 v5.1.0, 0.10 v5.0.0, 0.21 v4.1.0, 0.30 v4.0.1, 0.65 v4.0.0
% 0.21/0.65 % Syntax : Number of formulae : 15 ( 0 unt; 6 def)
% 0.21/0.65 % Number of atoms : 110 ( 3 equ)
% 0.21/0.65 % Maximal formula atoms : 23 ( 7 avg)
% 0.21/0.65 % Number of connectives : 98 ( 3 ~; 11 |; 50 &)
% 0.21/0.65 % ( 6 <=>; 28 =>; 0 <=; 0 <~>)
% 0.21/0.65 % Maximal formula depth : 16 ( 9 avg)
% 0.21/0.65 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.65 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 0.21/0.65 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.21/0.65 % Number of variables : 53 ( 42 !; 11 ?)
% 0.21/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.65
% 0.21/0.65 % Comments : Problem generated by the SAD system [VLP07]
% 0.21/0.65 %------------------------------------------------------------------------------
% 0.21/0.65 fof(mElmSort,axiom,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aElement0(W0)
% 0.21/0.65 => $true ) ).
% 0.21/0.65
% 0.21/0.65 fof(mRelSort,axiom,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aRewritingSystem0(W0)
% 0.21/0.65 => $true ) ).
% 0.21/0.65
% 0.21/0.65 fof(mReduct,axiom,
% 0.21/0.65 ! [W0,W1] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1) )
% 0.21/0.65 => ! [W2] :
% 0.21/0.65 ( aReductOfIn0(W2,W0,W1)
% 0.21/0.65 => aElement0(W2) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mWFOrd,axiom,
% 0.21/0.65 ! [W0,W1] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aElement0(W1) )
% 0.21/0.65 => ( iLess0(W0,W1)
% 0.21/0.65 => $true ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTCbr,axiom,
% 0.21/0.65 ! [W0,W1,W2] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1)
% 0.21/0.65 & aElement0(W2) )
% 0.21/0.65 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.21/0.65 => $true ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTCDef,definition,
% 0.21/0.65 ! [W0,W1,W2] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1)
% 0.21/0.65 & aElement0(W2) )
% 0.21/0.65 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.21/0.65 <=> ( aReductOfIn0(W2,W0,W1)
% 0.21/0.65 | ? [W3] :
% 0.21/0.65 ( aElement0(W3)
% 0.21/0.65 & aReductOfIn0(W3,W0,W1)
% 0.21/0.65 & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTCTrans,axiom,
% 0.21/0.65 ! [W0,W1,W2,W3] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1)
% 0.21/0.65 & aElement0(W2)
% 0.21/0.65 & aElement0(W3) )
% 0.21/0.65 => ( ( sdtmndtplgtdt0(W0,W1,W2)
% 0.21/0.65 & sdtmndtplgtdt0(W2,W1,W3) )
% 0.21/0.65 => sdtmndtplgtdt0(W0,W1,W3) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTCRDef,definition,
% 0.21/0.65 ! [W0,W1,W2] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1)
% 0.21/0.65 & aElement0(W2) )
% 0.21/0.65 => ( sdtmndtasgtdt0(W0,W1,W2)
% 0.21/0.65 <=> ( W0 = W2
% 0.21/0.65 | sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTCRTrans,axiom,
% 0.21/0.65 ! [W0,W1,W2,W3] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1)
% 0.21/0.65 & aElement0(W2)
% 0.21/0.65 & aElement0(W3) )
% 0.21/0.65 => ( ( sdtmndtasgtdt0(W0,W1,W2)
% 0.21/0.65 & sdtmndtasgtdt0(W2,W1,W3) )
% 0.21/0.65 => sdtmndtasgtdt0(W0,W1,W3) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mCRDef,definition,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aRewritingSystem0(W0)
% 0.21/0.65 => ( isConfluent0(W0)
% 0.21/0.65 <=> ! [W1,W2,W3] :
% 0.21/0.65 ( ( aElement0(W1)
% 0.21/0.65 & aElement0(W2)
% 0.21/0.65 & aElement0(W3)
% 0.21/0.65 & sdtmndtasgtdt0(W1,W0,W2)
% 0.21/0.65 & sdtmndtasgtdt0(W1,W0,W3) )
% 0.21/0.65 => ? [W4] :
% 0.21/0.65 ( aElement0(W4)
% 0.21/0.65 & sdtmndtasgtdt0(W2,W0,W4)
% 0.21/0.65 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mWCRDef,definition,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aRewritingSystem0(W0)
% 0.21/0.65 => ( isLocallyConfluent0(W0)
% 0.21/0.65 <=> ! [W1,W2,W3] :
% 0.21/0.65 ( ( aElement0(W1)
% 0.21/0.65 & aElement0(W2)
% 0.21/0.65 & aElement0(W3)
% 0.21/0.65 & aReductOfIn0(W2,W1,W0)
% 0.21/0.65 & aReductOfIn0(W3,W1,W0) )
% 0.21/0.65 => ? [W4] :
% 0.21/0.65 ( aElement0(W4)
% 0.21/0.65 & sdtmndtasgtdt0(W2,W0,W4)
% 0.21/0.65 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mTermin,definition,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aRewritingSystem0(W0)
% 0.21/0.65 => ( isTerminating0(W0)
% 0.21/0.65 <=> ! [W1,W2] :
% 0.21/0.65 ( ( aElement0(W1)
% 0.21/0.65 & aElement0(W2) )
% 0.21/0.65 => ( sdtmndtplgtdt0(W1,W0,W2)
% 0.21/0.65 => iLess0(W2,W1) ) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(mNFRDef,definition,
% 0.21/0.65 ! [W0,W1] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aRewritingSystem0(W1) )
% 0.21/0.65 => ! [W2] :
% 0.21/0.65 ( aNormalFormOfIn0(W2,W0,W1)
% 0.21/0.65 <=> ( aElement0(W2)
% 0.21/0.65 & sdtmndtasgtdt0(W0,W1,W2)
% 0.21/0.65 & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 fof(m__587,hypothesis,
% 0.21/0.65 ( aRewritingSystem0(xR)
% 0.21/0.65 & ! [W0,W1] :
% 0.21/0.65 ( ( aElement0(W0)
% 0.21/0.65 & aElement0(W1) )
% 0.21/0.65 => ( ( aReductOfIn0(W1,W0,xR)
% 0.21/0.65 | ? [W2] :
% 0.21/0.65 ( aElement0(W2)
% 0.21/0.65 & aReductOfIn0(W2,W0,xR)
% 0.21/0.65 & sdtmndtplgtdt0(W2,xR,W1) )
% 0.21/0.65 | sdtmndtplgtdt0(W0,xR,W1) )
% 0.21/0.65 => iLess0(W1,W0) ) )
% 0.21/0.65 & isTerminating0(xR) ) ).
% 0.21/0.65
% 0.21/0.65 fof(m__,conjecture,
% 0.21/0.65 ! [W0] :
% 0.21/0.65 ( aElement0(W0)
% 0.21/0.65 => ( ! [W1] :
% 0.21/0.65 ( aElement0(W1)
% 0.21/0.65 => ( iLess0(W1,W0)
% 0.21/0.65 => ? [W2] :
% 0.21/0.65 ( aElement0(W2)
% 0.21/0.65 & ( W1 = W2
% 0.21/0.65 | ( ( aReductOfIn0(W2,W1,xR)
% 0.21/0.65 | ? [W3] :
% 0.21/0.65 ( aElement0(W3)
% 0.21/0.65 & aReductOfIn0(W3,W1,xR)
% 0.21/0.65 & sdtmndtplgtdt0(W3,xR,W2) ) )
% 0.21/0.65 & sdtmndtplgtdt0(W1,xR,W2) ) )
% 0.21/0.65 & sdtmndtasgtdt0(W1,xR,W2)
% 0.21/0.65 & ~ ? [W3] : aReductOfIn0(W3,W2,xR)
% 0.21/0.65 & aNormalFormOfIn0(W2,W1,xR) ) ) )
% 0.21/0.65 => ? [W1] :
% 0.21/0.65 ( ( aElement0(W1)
% 0.21/0.65 & ( W0 = W1
% 0.21/0.65 | aReductOfIn0(W1,W0,xR)
% 0.21/0.65 | ? [W2] :
% 0.21/0.65 ( aElement0(W2)
% 0.21/0.65 & aReductOfIn0(W2,W0,xR)
% 0.21/0.65 & sdtmndtplgtdt0(W2,xR,W1) )
% 0.21/0.65 | sdtmndtplgtdt0(W0,xR,W1)
% 0.21/0.65 | sdtmndtasgtdt0(W0,xR,W1) )
% 0.21/0.65 & ~ ? [W2] : aReductOfIn0(W2,W1,xR) )
% 0.21/0.65 | aNormalFormOfIn0(W1,W0,xR) ) ) ) ).
% 0.21/0.65
% 0.21/0.65 %------------------------------------------------------------------------------
% 0.21/0.65 %-------------------------------------------
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark
% 0.21/0.66 % SZS output start Proof
% 0.21/0.66 %ClaNum:105(EqnAxiom:47)
% 0.21/0.66 %VarNum:425(SingletonVarNum:117)
% 0.21/0.66 %MaxLitNum:8
% 0.21/0.66 %MaxfuncDepth:1
% 0.21/0.66 %SharedTerms:5
% 0.21/0.66 %goalClause: 48 51 60 62 69 70 71 72 77 79 80 81 82 84 92
% 0.21/0.66 %singleGoalClaCount:2
% 0.21/0.66 [48]P1(a1)
% 0.21/0.66 [49]P2(a5)
% 0.21/0.66 [50]P5(a5)
% 0.21/0.66 [51]~P3(x511,a1,a5)
% 0.21/0.66 [52]~P2(x521)+P6(x521)+P1(f6(x521))
% 0.21/0.66 [53]~P2(x531)+P6(x531)+P1(f12(x531))
% 0.21/0.66 [54]~P2(x541)+P6(x541)+P1(f13(x541))
% 0.21/0.66 [55]~P2(x551)+P8(x551)+P1(f14(x551))
% 0.21/0.66 [56]~P2(x561)+P8(x561)+P1(f16(x561))
% 0.21/0.66 [57]~P2(x571)+P8(x571)+P1(f17(x571))
% 0.21/0.66 [58]~P2(x581)+P5(x581)+P1(f2(x581))
% 0.21/0.66 [59]~P2(x591)+P5(x591)+P1(f3(x591))
% 0.21/0.66 [60]~P1(x601)+~P7(x601,a1)+P1(f7(x601))
% 0.21/0.66 [61]~P2(x611)+P5(x611)+~P7(f3(x611),f2(x611))
% 0.21/0.66 [62]~P1(x621)+~E(a1,x621)+P4(f8(x621),x621,a5)
% 0.21/0.66 [63]~P2(x631)+P6(x631)+P9(f6(x631),x631,f12(x631))
% 0.21/0.66 [64]~P2(x641)+P6(x641)+P9(f6(x641),x641,f13(x641))
% 0.21/0.66 [65]~P2(x651)+P5(x651)+P10(f2(x651),x651,f3(x651))
% 0.21/0.66 [66]~P2(x661)+P8(x661)+P4(f16(x661),f14(x661),x661)
% 0.21/0.66 [67]~P2(x671)+P8(x671)+P4(f17(x671),f14(x671),x671)
% 0.21/0.66 [69]~P1(x691)+~P7(x691,a1)+P9(x691,a5,f7(x691))
% 0.21/0.66 [70]~P1(x701)+~P7(x701,a1)+P3(f7(x701),x701,a5)
% 0.21/0.66 [79]~P1(x791)+~P4(x791,a1,a5)+P4(f8(x791),x791,a5)
% 0.21/0.66 [80]~P1(x801)+~P10(a1,a5,x801)+P4(f8(x801),x801,a5)
% 0.21/0.66 [81]~P1(x811)+~P9(a1,a5,x811)+P4(f8(x811),x811,a5)
% 0.21/0.66 [77]~P1(x771)+~P7(x771,a1)+~P4(x772,f7(x771),a5)
% 0.21/0.66 [71]~P1(x711)+~P7(x711,a1)+E(f7(x711),x711)+P10(x711,a5,f7(x711))
% 0.21/0.66 [75]~P1(x752)+~P1(x751)+P7(x751,x752)+~P4(x751,x752,a5)
% 0.21/0.66 [76]~P1(x761)+~P1(x762)+P7(x761,x762)+~P10(x762,a5,x761)
% 0.21/0.66 [73]~P4(x731,x732,x733)+P1(x731)+~P1(x732)+~P2(x733)
% 0.21/0.66 [74]~P3(x741,x742,x743)+P1(x741)+~P1(x742)+~P2(x743)
% 0.21/0.66 [83]~P1(x831)+~P2(x832)+~P3(x833,x831,x832)+P9(x831,x832,x833)
% 0.21/0.66 [88]~P3(x884,x881,x882)+~P1(x881)+~P4(x883,x884,x882)+~P2(x882)
% 0.21/0.66 [72]~P1(x721)+~P7(x721,a1)+E(f7(x721),x721)+P4(f7(x721),x721,a5)+P1(f9(x721))
% 0.21/0.66 [82]~P1(x821)+~P7(x821,a1)+E(f7(x821),x821)+P4(f9(x821),x821,a5)+P4(f7(x821),x821,a5)
% 0.21/0.66 [84]~P1(x841)+~P7(x841,a1)+E(f7(x841),x841)+P4(f7(x841),x841,a5)+P10(f9(x841),a5,f7(x841))
% 0.21/0.66 [90]~P2(x901)+P6(x901)+~P1(x902)+~P9(f12(x901),x901,x902)+~P9(f13(x901),x901,x902)
% 0.21/0.66 [91]~P2(x911)+P8(x911)+~P1(x912)+~P9(f16(x911),x911,x912)+~P9(f17(x911),x911,x912)
% 0.21/0.66 [92]~P1(x921)+~P1(x922)+~P10(x922,a5,x921)+~P4(x922,a1,a5)+P4(f8(x921),x921,a5)
% 0.21/0.66 [68]~E(x681,x683)+~P1(x683)+~P1(x681)+~P2(x682)+P9(x681,x682,x683)
% 0.21/0.66 [85]~P1(x851)+~P1(x853)+~P2(x852)+~P4(x853,x851,x852)+P10(x851,x852,x853)
% 0.21/0.66 [86]~P1(x863)+~P1(x861)+~P2(x862)+~P10(x861,x862,x863)+P9(x861,x862,x863)
% 0.21/0.66 [78]~P1(x781)+~P1(x782)+~P5(x783)+~P10(x782,x783,x781)+P7(x781,x782)+~P2(x783)
% 0.21/0.66 [87]~P1(x872)+~P1(x871)+~P2(x873)+~P9(x871,x873,x872)+E(x871,x872)+P10(x871,x873,x872)
% 0.21/0.66 [89]~P1(x891)+~P1(x892)+P7(x891,x892)+~P1(x893)+~P4(x893,x892,a5)+~P10(x893,a5,x891)
% 0.21/0.66 [96]~P1(x961)+~P1(x962)+~P2(x963)+~P10(x962,x963,x961)+P4(x961,x962,x963)+P1(f10(x962,x963,x961))
% 0.21/0.66 [97]~P1(x971)+~P1(x972)+~P2(x973)+~P10(x972,x973,x971)+P4(x971,x972,x973)+P4(f10(x972,x973,x971),x972,x973)
% 0.21/0.66 [98]~P1(x981)+~P1(x982)+~P2(x983)+~P10(x982,x983,x981)+P4(x981,x982,x983)+P10(f10(x982,x983,x981),x983,x981)
% 0.21/0.66 [99]~P1(x992)+~P1(x991)+~P2(x993)+~P9(x992,x993,x991)+P3(x991,x992,x993)+P4(f4(x992,x993,x991),x991,x993)
% 0.21/0.66 [93]~P1(x933)+~P1(x931)+~P2(x932)+~P4(x934,x931,x932)+~P10(x934,x932,x933)+P10(x931,x932,x933)+~P1(x934)
% 0.21/0.66 [94]~P1(x943)+~P1(x941)+~P2(x942)+~P10(x944,x942,x943)+~P10(x941,x942,x944)+P10(x941,x942,x943)+~P1(x944)
% 0.21/0.66 [95]~P1(x953)+~P1(x951)+~P2(x952)+~P9(x954,x952,x953)+~P9(x951,x952,x954)+P9(x951,x952,x953)+~P1(x954)
% 0.21/0.66 [100]~P1(x1004)+~P1(x1003)+~P1(x1002)+~P2(x1001)+~P6(x1001)+~P9(x1002,x1001,x1004)+~P9(x1002,x1001,x1003)+P1(f11(x1001,x1002,x1003,x1004))
% 0.21/0.66 [101]~P1(x1014)+~P1(x1013)+~P1(x1012)+~P2(x1011)+~P8(x1011)+~P4(x1014,x1012,x1011)+~P4(x1013,x1012,x1011)+P1(f15(x1011,x1012,x1013,x1014))
% 0.21/0.66 [102]~P1(x1024)+~P1(x1023)+~P1(x1021)+~P2(x1022)+~P6(x1022)+~P9(x1023,x1022,x1024)+~P9(x1023,x1022,x1021)+P9(x1021,x1022,f11(x1022,x1023,x1024,x1021))
% 0.21/0.66 [103]~P1(x1034)+~P1(x1033)+~P1(x1031)+~P2(x1032)+~P6(x1032)+~P9(x1033,x1032,x1034)+~P9(x1033,x1032,x1031)+P9(x1031,x1032,f11(x1032,x1033,x1031,x1034))
% 0.21/0.66 [104]~P1(x1044)+~P1(x1043)+~P1(x1041)+~P2(x1042)+~P8(x1042)+~P4(x1044,x1043,x1042)+~P4(x1041,x1043,x1042)+P9(x1041,x1042,f15(x1042,x1043,x1044,x1041))
% 0.21/0.66 [105]~P1(x1054)+~P1(x1053)+~P1(x1051)+~P2(x1052)+~P8(x1052)+~P4(x1054,x1053,x1052)+~P4(x1051,x1053,x1052)+P9(x1051,x1052,f15(x1052,x1053,x1051,x1054))
% 0.21/0.66 %EqnAxiom
% 0.21/0.66 [1]E(x11,x11)
% 0.21/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.66 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.21/0.66 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.21/0.66 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.21/0.66 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.21/0.66 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.21/0.66 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.21/0.66 [10]~E(x101,x102)+E(f2(x101),f2(x102))
% 0.21/0.66 [11]~E(x111,x112)+E(f3(x111),f3(x112))
% 0.21/0.66 [12]~E(x121,x122)+E(f7(x121),f7(x122))
% 0.21/0.66 [13]~E(x131,x132)+E(f11(x131,x133,x134,x135),f11(x132,x133,x134,x135))
% 0.21/0.66 [14]~E(x141,x142)+E(f11(x143,x141,x144,x145),f11(x143,x142,x144,x145))
% 0.21/0.66 [15]~E(x151,x152)+E(f11(x153,x154,x151,x155),f11(x153,x154,x152,x155))
% 0.21/0.66 [16]~E(x161,x162)+E(f11(x163,x164,x165,x161),f11(x163,x164,x165,x162))
% 0.21/0.66 [17]~E(x171,x172)+E(f10(x171,x173,x174),f10(x172,x173,x174))
% 0.21/0.66 [18]~E(x181,x182)+E(f10(x183,x181,x184),f10(x183,x182,x184))
% 0.21/0.66 [19]~E(x191,x192)+E(f10(x193,x194,x191),f10(x193,x194,x192))
% 0.21/0.66 [20]~E(x201,x202)+E(f8(x201),f8(x202))
% 0.21/0.66 [21]~E(x211,x212)+E(f15(x211,x213,x214,x215),f15(x212,x213,x214,x215))
% 0.21/0.66 [22]~E(x221,x222)+E(f15(x223,x221,x224,x225),f15(x223,x222,x224,x225))
% 0.21/0.66 [23]~E(x231,x232)+E(f15(x233,x234,x231,x235),f15(x233,x234,x232,x235))
% 0.21/0.66 [24]~E(x241,x242)+E(f15(x243,x244,x245,x241),f15(x243,x244,x245,x242))
% 0.21/0.66 [25]~E(x251,x252)+E(f9(x251),f9(x252))
% 0.21/0.66 [26]~E(x261,x262)+E(f4(x261,x263,x264),f4(x262,x263,x264))
% 0.21/0.66 [27]~E(x271,x272)+E(f4(x273,x271,x274),f4(x273,x272,x274))
% 0.21/0.66 [28]~E(x281,x282)+E(f4(x283,x284,x281),f4(x283,x284,x282))
% 0.21/0.66 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 0.21/0.66 [30]~P2(x301)+P2(x302)+~E(x301,x302)
% 0.21/0.66 [31]~P5(x311)+P5(x312)+~E(x311,x312)
% 0.21/0.66 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.21/0.66 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.21/0.66 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.21/0.66 [35]~P6(x351)+P6(x352)+~E(x351,x352)
% 0.21/0.66 [36]P4(x362,x363,x364)+~E(x361,x362)+~P4(x361,x363,x364)
% 0.21/0.66 [37]P4(x373,x372,x374)+~E(x371,x372)+~P4(x373,x371,x374)
% 0.21/0.66 [38]P4(x383,x384,x382)+~E(x381,x382)+~P4(x383,x384,x381)
% 0.21/0.66 [39]P9(x392,x393,x394)+~E(x391,x392)+~P9(x391,x393,x394)
% 0.21/0.66 [40]P9(x403,x402,x404)+~E(x401,x402)+~P9(x403,x401,x404)
% 0.21/0.66 [41]P9(x413,x414,x412)+~E(x411,x412)+~P9(x413,x414,x411)
% 0.21/0.66 [42]P10(x422,x423,x424)+~E(x421,x422)+~P10(x421,x423,x424)
% 0.21/0.66 [43]P10(x433,x432,x434)+~E(x431,x432)+~P10(x433,x431,x434)
% 0.21/0.66 [44]P10(x443,x444,x442)+~E(x441,x442)+~P10(x443,x444,x441)
% 0.21/0.66 [45]P7(x452,x453)+~E(x451,x452)+~P7(x451,x453)
% 0.21/0.66 [46]P7(x463,x462)+~E(x461,x462)+~P7(x463,x461)
% 0.21/0.66 [47]~P8(x471)+P8(x472)+~E(x471,x472)
% 0.21/0.66
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 cnf(106,plain,
% 0.21/0.66 (~P7(a1,a1)),
% 0.21/0.66 inference(scs_inference,[],[48,51,70])).
% 0.21/0.66 cnf(109,plain,
% 0.21/0.66 (~P10(a1,a5,a1)),
% 0.21/0.66 inference(scs_inference,[],[48,51,70,46,76])).
% 0.21/0.66 cnf(111,plain,
% 0.21/0.66 (~P4(a1,a1,a5)),
% 0.21/0.66 inference(scs_inference,[],[48,51,70,46,76,75])).
% 0.21/0.66 cnf(115,plain,
% 0.21/0.66 (P4(f8(a1),a1,a5)),
% 0.21/0.66 inference(scs_inference,[],[48,51,70,46,76,75,81,62])).
% 0.21/0.66 cnf(133,plain,
% 0.21/0.66 (P1(f8(a1))),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,111,36,73])).
% 0.21/0.66 cnf(136,plain,
% 0.21/0.66 (P4(f8(f8(a1)),f8(a1),a5)),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,106,111,36,73,45,79])).
% 0.21/0.66 cnf(147,plain,
% 0.21/0.66 (~P4(x1471,f7(f8(a1)),a5)),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,109,106,111,36,73,45,79,85,93,75,70,2,77])).
% 0.21/0.66 cnf(149,plain,
% 0.21/0.66 (P9(f8(a1),a5,f7(f8(a1)))),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,109,106,111,36,73,45,79,85,93,75,70,2,77,69])).
% 0.21/0.66 cnf(151,plain,
% 0.21/0.66 (P1(f7(f8(a1)))),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,109,106,111,36,73,45,79,85,93,75,70,2,77,69,60])).
% 0.21/0.66 cnf(157,plain,
% 0.21/0.66 (~P10(f8(a1),a5,f7(f8(a1)))),
% 0.21/0.66 inference(scs_inference,[],[48,49,115,109,106,111,36,73,45,79,85,93,75,70,2,77,69,60,86,68,92])).
% 0.21/0.66 cnf(172,plain,
% 0.21/0.66 ($false),
% 0.21/0.66 inference(scs_inference,[],[49,136,151,147,133,149,157,37,88,87]),
% 0.21/0.66 ['proof']).
% 0.21/0.66 % SZS output end Proof
% 0.21/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------