TSTP Solution File: COM016+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COM016+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 : n028.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 18:35:12 EDT 2023
% Result : Theorem 0.74s 0.81s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.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 : Tue Aug 29 13:37:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.70/0.79 %-------------------------------------------
% 0.70/0.79 % File :CSE---1.6
% 0.70/0.79 % Problem :theBenchmark
% 0.70/0.79 % Transform :cnf
% 0.70/0.79 % Format :tptp:raw
% 0.70/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.79
% 0.70/0.79 % Result :Theorem 0.170000s
% 0.70/0.79 % Output :CNFRefutation 0.170000s
% 0.70/0.79 %-------------------------------------------
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 % File : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 0.70/0.80 % Domain : Computing Theory
% 0.70/0.80 % Problem : Newman's lemma on rewriting systems 03_01_01, 00 expansion
% 0.70/0.80 % Version : Especial.
% 0.70/0.80 % English :
% 0.70/0.80
% 0.70/0.80 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.70/0.80 % : [PV+07] Paskevich et al. (2007), Reasoning Inside a Formula an
% 0.70/0.80 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.70/0.80 % Source : [Pas08]
% 0.70/0.80 % Names : newman_03_01_01.00 [Pas08]
% 0.70/0.80
% 0.70/0.80 % Status : Theorem
% 0.70/0.80 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.20 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.1, 0.57 v4.0.0
% 0.70/0.80 % Syntax : Number of formulae : 20 ( 1 unt; 6 def)
% 0.70/0.80 % Number of atoms : 101 ( 1 equ)
% 0.70/0.80 % Maximal formula atoms : 10 ( 5 avg)
% 0.70/0.80 % Number of connectives : 82 ( 1 ~; 2 |; 47 &)
% 0.70/0.80 % ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% 0.70/0.80 % Maximal formula depth : 12 ( 6 avg)
% 0.70/0.80 % Maximal term depth : 1 ( 1 avg)
% 0.70/0.80 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 0.70/0.80 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.70/0.80 % Number of variables : 50 ( 43 !; 7 ?)
% 0.70/0.80 % SPC : FOF_THM_RFO_SEQ
% 0.70/0.80
% 0.70/0.80 % Comments : Problem generated by the SAD system [VLP07]
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 fof(mElmSort,axiom,
% 0.70/0.80 ! [W0] :
% 0.70/0.80 ( aElement0(W0)
% 0.70/0.80 => $true ) ).
% 0.70/0.80
% 0.70/0.80 fof(mRelSort,axiom,
% 0.70/0.80 ! [W0] :
% 0.70/0.80 ( aRewritingSystem0(W0)
% 0.70/0.80 => $true ) ).
% 0.70/0.80
% 0.70/0.80 fof(mReduct,axiom,
% 0.70/0.80 ! [W0,W1] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aRewritingSystem0(W1) )
% 0.70/0.80 => ! [W2] :
% 0.70/0.80 ( aReductOfIn0(W2,W0,W1)
% 0.70/0.80 => aElement0(W2) ) ) ).
% 0.70/0.80
% 0.70/0.80 fof(mWFOrd,axiom,
% 0.70/0.80 ! [W0,W1] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aElement0(W1) )
% 0.70/0.80 => ( iLess0(W0,W1)
% 0.70/0.80 => $true ) ) ).
% 0.70/0.80
% 0.70/0.80 fof(mTCbr,axiom,
% 0.70/0.80 ! [W0,W1,W2] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aRewritingSystem0(W1)
% 0.70/0.80 & aElement0(W2) )
% 0.70/0.80 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.70/0.80 => $true ) ) ).
% 0.70/0.80
% 0.70/0.80 fof(mTCDef,definition,
% 0.70/0.80 ! [W0,W1,W2] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aRewritingSystem0(W1)
% 0.70/0.80 & aElement0(W2) )
% 0.70/0.80 => ( sdtmndtplgtdt0(W0,W1,W2)
% 0.70/0.80 <=> ( aReductOfIn0(W2,W0,W1)
% 0.70/0.80 | ? [W3] :
% 0.70/0.80 ( aElement0(W3)
% 0.70/0.80 & aReductOfIn0(W3,W0,W1)
% 0.70/0.80 & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
% 0.70/0.80
% 0.70/0.80 fof(mTCTrans,axiom,
% 0.70/0.80 ! [W0,W1,W2,W3] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aRewritingSystem0(W1)
% 0.70/0.80 & aElement0(W2)
% 0.70/0.80 & aElement0(W3) )
% 0.70/0.80 => ( ( sdtmndtplgtdt0(W0,W1,W2)
% 0.70/0.80 & sdtmndtplgtdt0(W2,W1,W3) )
% 0.70/0.80 => sdtmndtplgtdt0(W0,W1,W3) ) ) ).
% 0.70/0.80
% 0.70/0.80 fof(mTCRDef,definition,
% 0.70/0.80 ! [W0,W1,W2] :
% 0.70/0.80 ( ( aElement0(W0)
% 0.70/0.80 & aRewritingSystem0(W1)
% 0.70/0.80 & aElement0(W2) )
% 0.74/0.80 => ( sdtmndtasgtdt0(W0,W1,W2)
% 0.74/0.80 <=> ( W0 = W2
% 0.74/0.80 | sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
% 0.74/0.80
% 0.74/0.80 fof(mTCRTrans,axiom,
% 0.74/0.80 ! [W0,W1,W2,W3] :
% 0.74/0.80 ( ( aElement0(W0)
% 0.74/0.80 & aRewritingSystem0(W1)
% 0.74/0.80 & aElement0(W2)
% 0.74/0.80 & aElement0(W3) )
% 0.74/0.80 => ( ( sdtmndtasgtdt0(W0,W1,W2)
% 0.74/0.80 & sdtmndtasgtdt0(W2,W1,W3) )
% 0.74/0.80 => sdtmndtasgtdt0(W0,W1,W3) ) ) ).
% 0.74/0.80
% 0.74/0.80 fof(mCRDef,definition,
% 0.74/0.80 ! [W0] :
% 0.74/0.80 ( aRewritingSystem0(W0)
% 0.74/0.80 => ( isConfluent0(W0)
% 0.74/0.80 <=> ! [W1,W2,W3] :
% 0.74/0.80 ( ( aElement0(W1)
% 0.74/0.80 & aElement0(W2)
% 0.74/0.80 & aElement0(W3)
% 0.74/0.80 & sdtmndtasgtdt0(W1,W0,W2)
% 0.74/0.80 & sdtmndtasgtdt0(W1,W0,W3) )
% 0.74/0.80 => ? [W4] :
% 0.74/0.80 ( aElement0(W4)
% 0.74/0.80 & sdtmndtasgtdt0(W2,W0,W4)
% 0.74/0.80 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.74/0.80
% 0.74/0.80 fof(mWCRDef,definition,
% 0.74/0.80 ! [W0] :
% 0.74/0.80 ( aRewritingSystem0(W0)
% 0.74/0.80 => ( isLocallyConfluent0(W0)
% 0.74/0.80 <=> ! [W1,W2,W3] :
% 0.74/0.80 ( ( aElement0(W1)
% 0.74/0.80 & aElement0(W2)
% 0.74/0.80 & aElement0(W3)
% 0.74/0.80 & aReductOfIn0(W2,W1,W0)
% 0.74/0.80 & aReductOfIn0(W3,W1,W0) )
% 0.74/0.80 => ? [W4] :
% 0.74/0.80 ( aElement0(W4)
% 0.74/0.80 & sdtmndtasgtdt0(W2,W0,W4)
% 0.74/0.80 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 0.74/0.80
% 0.74/0.80 fof(mTermin,definition,
% 0.74/0.80 ! [W0] :
% 0.74/0.80 ( aRewritingSystem0(W0)
% 0.74/0.80 => ( isTerminating0(W0)
% 0.74/0.80 <=> ! [W1,W2] :
% 0.74/0.81 ( ( aElement0(W1)
% 0.74/0.81 & aElement0(W2) )
% 0.74/0.81 => ( sdtmndtplgtdt0(W1,W0,W2)
% 0.74/0.81 => iLess0(W2,W1) ) ) ) ) ).
% 0.74/0.81
% 0.74/0.81 fof(mNFRDef,definition,
% 0.74/0.81 ! [W0,W1] :
% 0.74/0.81 ( ( aElement0(W0)
% 0.74/0.81 & aRewritingSystem0(W1) )
% 0.74/0.81 => ! [W2] :
% 0.74/0.81 ( aNormalFormOfIn0(W2,W0,W1)
% 0.74/0.81 <=> ( aElement0(W2)
% 0.74/0.81 & sdtmndtasgtdt0(W0,W1,W2)
% 0.74/0.81 & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ) ).
% 0.74/0.81
% 0.74/0.81 fof(mTermNF,axiom,
% 0.74/0.81 ! [W0] :
% 0.74/0.81 ( ( aRewritingSystem0(W0)
% 0.74/0.81 & isTerminating0(W0) )
% 0.74/0.81 => ! [W1] :
% 0.74/0.81 ( aElement0(W1)
% 0.74/0.81 => ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ) ).
% 0.74/0.81
% 0.74/0.81 fof(m__656,hypothesis,
% 0.74/0.81 aRewritingSystem0(xR) ).
% 0.74/0.81
% 0.74/0.81 fof(m__656_01,hypothesis,
% 0.74/0.81 ( isLocallyConfluent0(xR)
% 0.74/0.81 & isTerminating0(xR) ) ).
% 0.74/0.81
% 0.74/0.81 fof(m__731,hypothesis,
% 0.74/0.81 ( aElement0(xa)
% 0.74/0.81 & aElement0(xb)
% 0.74/0.81 & aElement0(xc) ) ).
% 0.74/0.81
% 0.74/0.81 fof(m__715,hypothesis,
% 0.74/0.81 ! [W0,W1,W2] :
% 0.74/0.81 ( ( aElement0(W0)
% 0.74/0.81 & aElement0(W1)
% 0.74/0.81 & aElement0(W2)
% 0.74/0.81 & sdtmndtasgtdt0(W0,xR,W1)
% 0.74/0.81 & sdtmndtasgtdt0(W0,xR,W2) )
% 0.74/0.81 => ( iLess0(W0,xa)
% 0.74/0.81 => ? [W3] :
% 0.74/0.81 ( aElement0(W3)
% 0.74/0.81 & sdtmndtasgtdt0(W1,xR,W3)
% 0.74/0.81 & sdtmndtasgtdt0(W2,xR,W3) ) ) ) ).
% 0.74/0.81
% 0.74/0.81 fof(m__731_02,hypothesis,
% 0.74/0.81 ( sdtmndtplgtdt0(xa,xR,xb)
% 0.74/0.81 & sdtmndtplgtdt0(xa,xR,xc) ) ).
% 0.74/0.81
% 0.74/0.81 fof(m__,conjecture,
% 0.74/0.81 ? [W0] :
% 0.74/0.81 ( aElement0(W0)
% 0.74/0.81 & aReductOfIn0(W0,xa,xR)
% 0.74/0.81 & sdtmndtasgtdt0(W0,xR,xb) ) ).
% 0.74/0.81
% 0.74/0.81 %------------------------------------------------------------------------------
% 0.74/0.81 %-------------------------------------------
% 0.74/0.81 % Proof found
% 0.74/0.81 % SZS status Theorem for theBenchmark
% 0.74/0.81 % SZS output start Proof
% 0.74/0.81 %ClaNum:100(EqnAxiom:49)
% 0.74/0.81 %VarNum:381(SingletonVarNum:106)
% 0.74/0.81 %MaxLitNum:8
% 0.74/0.81 %MaxfuncDepth:1
% 0.74/0.81 %SharedTerms:12
% 0.74/0.81 %goalClause: 81
% 0.74/0.81 [50]P1(a1)
% 0.74/0.81 [51]P1(a17)
% 0.74/0.81 [52]P1(a18)
% 0.74/0.81 [53]P2(a2)
% 0.74/0.81 [54]P5(a2)
% 0.74/0.81 [55]P8(a2)
% 0.74/0.81 [56]P9(a1,a2,a17)
% 0.74/0.81 [57]P9(a1,a2,a18)
% 0.74/0.81 [81]~P1(x811)+~P3(x811,a1,a2)+~P10(x811,a2,a17)
% 0.74/0.81 [58]~P2(x581)+P6(x581)+P1(f3(x581))
% 0.74/0.81 [59]~P2(x591)+P6(x591)+P1(f11(x591))
% 0.74/0.81 [60]~P2(x601)+P6(x601)+P1(f12(x601))
% 0.74/0.81 [61]~P2(x611)+P5(x611)+P1(f13(x611))
% 0.74/0.81 [62]~P2(x621)+P5(x621)+P1(f15(x621))
% 0.74/0.81 [63]~P2(x631)+P5(x631)+P1(f16(x631))
% 0.74/0.81 [64]~P2(x641)+P8(x641)+P1(f4(x641))
% 0.74/0.81 [65]~P2(x651)+P8(x651)+P1(f5(x651))
% 0.74/0.81 [66]~P2(x661)+P8(x661)+~P7(f5(x661),f4(x661))
% 0.74/0.81 [67]~P2(x671)+P6(x671)+P10(f3(x671),x671,f11(x671))
% 0.74/0.81 [68]~P2(x681)+P6(x681)+P10(f3(x681),x681,f12(x681))
% 0.74/0.81 [69]~P2(x691)+P8(x691)+P9(f4(x691),x691,f5(x691))
% 0.74/0.81 [70]~P2(x701)+P5(x701)+P3(f15(x701),f13(x701),x701)
% 0.74/0.81 [71]~P2(x711)+P5(x711)+P3(f16(x711),f13(x711),x711)
% 0.74/0.81 [73]~P1(x732)+~P2(x731)+~P8(x731)+P4(f6(x731,x732),x732,x731)
% 0.74/0.81 [74]~P3(x741,x742,x743)+P1(x741)+~P1(x742)+~P2(x743)
% 0.74/0.81 [75]~P4(x751,x752,x753)+P1(x751)+~P1(x752)+~P2(x753)
% 0.74/0.81 [77]~P1(x771)+~P2(x772)+~P4(x773,x771,x772)+P10(x771,x772,x773)
% 0.74/0.81 [82]~P4(x824,x821,x822)+~P1(x821)+~P3(x823,x824,x822)+~P2(x822)
% 0.74/0.81 [83]~P2(x831)+P6(x831)+~P1(x832)+~P10(f11(x831),x831,x832)+~P10(f12(x831),x831,x832)
% 0.74/0.81 [84]~P2(x841)+P5(x841)+~P1(x842)+~P10(f15(x841),x841,x842)+~P10(f16(x841),x841,x842)
% 0.74/0.81 [72]~E(x721,x723)+~P1(x723)+~P1(x721)+~P2(x722)+P10(x721,x722,x723)
% 0.74/0.81 [78]~P1(x781)+~P1(x783)+~P2(x782)+~P3(x783,x781,x782)+P9(x781,x782,x783)
% 0.74/0.81 [79]~P1(x793)+~P1(x791)+~P2(x792)+~P9(x791,x792,x793)+P10(x791,x792,x793)
% 0.74/0.81 [76]~P1(x761)+~P1(x762)+~P8(x763)+~P9(x762,x763,x761)+P7(x761,x762)+~P2(x763)
% 0.74/0.81 [80]~P1(x802)+~P1(x801)+~P2(x803)+~P10(x801,x803,x802)+E(x801,x802)+P9(x801,x803,x802)
% 0.74/0.81 [88]~P1(x881)+~P1(x882)+~P2(x883)+~P9(x882,x883,x881)+P3(x881,x882,x883)+P1(f8(x882,x883,x881))
% 0.74/0.81 [90]~P1(x901)+~P1(x902)+~P2(x903)+~P9(x902,x903,x901)+P3(x901,x902,x903)+P3(f8(x902,x903,x901),x902,x903)
% 0.74/0.81 [91]~P1(x911)+~P1(x912)+~P2(x913)+~P9(x912,x913,x911)+P3(x911,x912,x913)+P9(f8(x912,x913,x911),x913,x911)
% 0.74/0.81 [92]~P1(x922)+~P1(x921)+~P2(x923)+~P10(x922,x923,x921)+P4(x921,x922,x923)+P3(f7(x922,x923,x921),x921,x923)
% 0.74/0.81 [89]~P1(x893)+~P1(x892)+~P1(x891)+~P10(x891,a2,x893)+~P10(x891,a2,x892)+~P7(x891,a1)+P1(f9(x891,x892,x893))
% 0.74/0.81 [93]~P1(x933)+~P1(x932)+~P1(x931)+~P10(x932,a2,x933)+~P10(x932,a2,x931)+~P7(x932,a1)+P10(x931,a2,f9(x932,x933,x931))
% 0.74/0.81 [94]~P1(x943)+~P1(x942)+~P1(x941)+~P10(x942,a2,x943)+~P10(x942,a2,x941)+~P7(x942,a1)+P10(x941,a2,f9(x942,x941,x943))
% 0.74/0.81 [85]~P1(x853)+~P1(x851)+~P2(x852)+~P3(x854,x851,x852)+~P9(x854,x852,x853)+P9(x851,x852,x853)+~P1(x854)
% 0.74/0.81 [86]~P1(x863)+~P1(x861)+~P2(x862)+~P9(x864,x862,x863)+~P9(x861,x862,x864)+P9(x861,x862,x863)+~P1(x864)
% 0.74/0.81 [87]~P1(x873)+~P1(x871)+~P2(x872)+~P10(x874,x872,x873)+~P10(x871,x872,x874)+P10(x871,x872,x873)+~P1(x874)
% 0.74/0.81 [95]~P1(x954)+~P1(x953)+~P1(x952)+~P2(x951)+~P6(x951)+~P10(x952,x951,x954)+~P10(x952,x951,x953)+P1(f10(x951,x952,x953,x954))
% 0.74/0.81 [96]~P1(x964)+~P1(x963)+~P1(x962)+~P2(x961)+~P5(x961)+~P3(x964,x962,x961)+~P3(x963,x962,x961)+P1(f14(x961,x962,x963,x964))
% 0.74/0.81 [97]~P1(x974)+~P1(x973)+~P1(x971)+~P2(x972)+~P6(x972)+~P10(x973,x972,x974)+~P10(x973,x972,x971)+P10(x971,x972,f10(x972,x973,x974,x971))
% 0.74/0.81 [98]~P1(x984)+~P1(x983)+~P1(x981)+~P2(x982)+~P6(x982)+~P10(x983,x982,x984)+~P10(x983,x982,x981)+P10(x981,x982,f10(x982,x983,x981,x984))
% 0.74/0.81 [99]~P1(x994)+~P1(x993)+~P1(x991)+~P2(x992)+~P5(x992)+~P3(x994,x993,x992)+~P3(x991,x993,x992)+P10(x991,x992,f14(x992,x993,x994,x991))
% 0.74/0.81 [100]~P1(x1004)+~P1(x1003)+~P1(x1001)+~P2(x1002)+~P5(x1002)+~P3(x1004,x1003,x1002)+~P3(x1001,x1003,x1002)+P10(x1001,x1002,f14(x1002,x1003,x1001,x1004))
% 0.74/0.81 %EqnAxiom
% 0.74/0.81 [1]E(x11,x11)
% 0.74/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.74/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.74/0.81 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.74/0.81 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.74/0.81 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 0.74/0.81 [7]~E(x71,x72)+E(f13(x71),f13(x72))
% 0.74/0.81 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.74/0.81 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.74/0.81 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 0.74/0.81 [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 0.74/0.81 [12]~E(x121,x122)+E(f8(x121,x123,x124),f8(x122,x123,x124))
% 0.74/0.81 [13]~E(x131,x132)+E(f8(x133,x131,x134),f8(x133,x132,x134))
% 0.74/0.81 [14]~E(x141,x142)+E(f8(x143,x144,x141),f8(x143,x144,x142))
% 0.74/0.81 [15]~E(x151,x152)+E(f10(x151,x153,x154,x155),f10(x152,x153,x154,x155))
% 0.74/0.81 [16]~E(x161,x162)+E(f10(x163,x161,x164,x165),f10(x163,x162,x164,x165))
% 0.74/0.81 [17]~E(x171,x172)+E(f10(x173,x174,x171,x175),f10(x173,x174,x172,x175))
% 0.74/0.81 [18]~E(x181,x182)+E(f10(x183,x184,x185,x181),f10(x183,x184,x185,x182))
% 0.74/0.81 [19]~E(x191,x192)+E(f14(x191,x193,x194,x195),f14(x192,x193,x194,x195))
% 0.74/0.81 [20]~E(x201,x202)+E(f14(x203,x201,x204,x205),f14(x203,x202,x204,x205))
% 0.74/0.81 [21]~E(x211,x212)+E(f14(x213,x214,x211,x215),f14(x213,x214,x212,x215))
% 0.74/0.81 [22]~E(x221,x222)+E(f14(x223,x224,x225,x221),f14(x223,x224,x225,x222))
% 0.74/0.81 [23]~E(x231,x232)+E(f9(x231,x233,x234),f9(x232,x233,x234))
% 0.74/0.81 [24]~E(x241,x242)+E(f9(x243,x241,x244),f9(x243,x242,x244))
% 0.74/0.81 [25]~E(x251,x252)+E(f9(x253,x254,x251),f9(x253,x254,x252))
% 0.74/0.81 [26]~E(x261,x262)+E(f6(x261,x263),f6(x262,x263))
% 0.74/0.81 [27]~E(x271,x272)+E(f6(x273,x271),f6(x273,x272))
% 0.74/0.81 [28]~E(x281,x282)+E(f7(x281,x283,x284),f7(x282,x283,x284))
% 0.74/0.81 [29]~E(x291,x292)+E(f7(x293,x291,x294),f7(x293,x292,x294))
% 0.74/0.81 [30]~E(x301,x302)+E(f7(x303,x304,x301),f7(x303,x304,x302))
% 0.74/0.81 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.74/0.81 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.74/0.81 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.74/0.81 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.74/0.81 [35]P10(x352,x353,x354)+~E(x351,x352)+~P10(x351,x353,x354)
% 0.74/0.81 [36]P10(x363,x362,x364)+~E(x361,x362)+~P10(x363,x361,x364)
% 0.74/0.81 [37]P10(x373,x374,x372)+~E(x371,x372)+~P10(x373,x374,x371)
% 0.74/0.81 [38]~P2(x381)+P2(x382)+~E(x381,x382)
% 0.74/0.81 [39]~P5(x391)+P5(x392)+~E(x391,x392)
% 0.74/0.81 [40]~P8(x401)+P8(x402)+~E(x401,x402)
% 0.74/0.81 [41]P9(x412,x413,x414)+~E(x411,x412)+~P9(x411,x413,x414)
% 0.74/0.81 [42]P9(x423,x422,x424)+~E(x421,x422)+~P9(x423,x421,x424)
% 0.74/0.81 [43]P9(x433,x434,x432)+~E(x431,x432)+~P9(x433,x434,x431)
% 0.74/0.81 [44]P7(x442,x443)+~E(x441,x442)+~P7(x441,x443)
% 0.74/0.81 [45]P7(x453,x452)+~E(x451,x452)+~P7(x453,x451)
% 0.74/0.81 [46]~P6(x461)+P6(x462)+~E(x461,x462)
% 0.74/0.81 [47]P4(x472,x473,x474)+~E(x471,x472)+~P4(x471,x473,x474)
% 0.74/0.81 [48]P4(x483,x482,x484)+~E(x481,x482)+~P4(x483,x481,x484)
% 0.74/0.81 [49]P4(x493,x494,x492)+~E(x491,x492)+~P4(x493,x494,x491)
% 0.74/0.81
% 0.74/0.81 %-------------------------------------------
% 0.74/0.81 cnf(101,plain,
% 0.74/0.81 (P10(a1,a2,a17)),
% 0.74/0.81 inference(scs_inference,[],[50,51,53,56,79])).
% 0.74/0.81 cnf(102,plain,
% 0.74/0.81 (P7(a17,a1)),
% 0.74/0.81 inference(scs_inference,[],[50,51,53,55,56,79,76])).
% 0.74/0.81 cnf(104,plain,
% 0.74/0.81 (~P3(a1,a1,a2)),
% 0.74/0.81 inference(scs_inference,[],[50,51,53,55,56,79,76,40,81])).
% 0.74/0.81 cnf(135,plain,
% 0.74/0.81 (P4(f6(a2,a18),a18,a2)),
% 0.74/0.81 inference(scs_inference,[],[52,55,53,73])).
% 0.74/0.81 cnf(159,plain,
% 0.74/0.81 (P1(f6(a2,a17))),
% 0.74/0.81 inference(scs_inference,[],[51,55,52,53,135,77,82,73,75])).
% 0.74/0.81 cnf(182,plain,
% 0.74/0.81 (P10(a17,a2,a17)),
% 0.74/0.81 inference(scs_inference,[],[51,53,104,34,72])).
% 0.74/0.81 cnf(197,plain,
% 0.74/0.81 (P10(a17,a2,f9(a17,a17,a17))),
% 0.74/0.81 inference(scs_inference,[],[102,182,51,94])).
% 0.74/0.81 cnf(199,plain,
% 0.74/0.81 (~P3(a17,a1,a2)),
% 0.74/0.81 inference(scs_inference,[],[102,182,51,94,81])).
% 0.74/0.81 cnf(203,plain,
% 0.74/0.81 (P1(f9(a17,a17,a17))),
% 0.74/0.81 inference(scs_inference,[],[52,57,102,53,182,50,51,94,81,79,89])).
% 0.74/0.81 cnf(226,plain,
% 0.74/0.81 (~P3(x2261,a1,a2)+~E(x2261,a17)),
% 0.74/0.81 inference(scs_inference,[],[101,53,203,197,199,50,51,87,32])).
% 0.74/0.81 cnf(229,plain,
% 0.74/0.81 (P9(f8(a1,a2,a17),a2,a17)),
% 0.74/0.81 inference(scs_inference,[],[101,56,102,53,203,197,199,182,50,51,87,32,94,91])).
% 0.74/0.81 cnf(272,plain,
% 0.74/0.81 (P4(f6(a2,f6(a2,a17)),f6(a2,a17),a2)),
% 0.74/0.81 inference(scs_inference,[],[55,159,53,73])).
% 0.74/0.81 cnf(299,plain,
% 0.74/0.81 (P1(f6(a2,f6(a2,a17)))),
% 0.74/0.81 inference(scs_inference,[],[272,159,53,75])).
% 0.74/0.81 cnf(346,plain,
% 0.74/0.81 (P1(f8(a1,a2,a17))),
% 0.74/0.81 inference(scs_inference,[],[56,299,199,50,51,53,90,82,226,49,74])).
% 0.74/0.81 cnf(348,plain,
% 0.74/0.81 (~P10(f8(a1,a2,a17),a2,a17)),
% 0.74/0.81 inference(scs_inference,[],[56,299,199,50,51,53,90,82,226,49,74,81])).
% 0.74/0.81 cnf(350,plain,
% 0.74/0.81 (P10(f8(a1,a2,a17),a2,f14(a2,a1,f8(a1,a2,a17),f8(a1,a2,a17)))),
% 0.74/0.81 inference(scs_inference,[],[56,299,199,54,50,51,53,90,82,226,49,74,81,99])).
% 0.74/0.81 cnf(379,plain,
% 0.74/0.81 ($false),
% 0.74/0.81 inference(scs_inference,[],[101,348,350,346,229,51,53,37,35,79]),
% 0.74/0.81 ['proof']).
% 0.74/0.81 % SZS output end Proof
% 0.74/0.81 % Total time :0.170000s
%------------------------------------------------------------------------------