TSTP Solution File: COM022+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COM022+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 : n002.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 4.25s 4.33s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM022+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 : n002.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 13:48:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 4.25/4.32 %-------------------------------------------
% 4.25/4.32 % File :CSE---1.6
% 4.25/4.32 % Problem :theBenchmark
% 4.25/4.32 % Transform :cnf
% 4.25/4.32 % Format :tptp:raw
% 4.25/4.32 % Command :java -jar mcs_scs.jar %d %s
% 4.25/4.32
% 4.25/4.32 % Result :Theorem 3.690000s
% 4.25/4.32 % Output :CNFRefutation 3.690000s
% 4.25/4.32 %-------------------------------------------
% 4.25/4.32 %------------------------------------------------------------------------------
% 4.25/4.32 % File : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% 4.25/4.32 % Domain : Computing Theory
% 4.25/4.32 % Problem : Newman's lemma on rewriting systems 03_01_07, 00 expansion
% 4.25/4.32 % Version : Especial.
% 4.25/4.32 % English :
% 4.25/4.32
% 4.25/4.32 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 4.25/4.32 % : [PV+07] Paskevich et al. (2007), Reasoning Inside a Formula an
% 4.25/4.32 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 4.25/4.32 % Source : [Pas08]
% 4.25/4.32 % Names : newman_03_01_07.00 [Pas08]
% 4.25/4.32
% 4.25/4.32 % Status : Theorem
% 4.25/4.32 % Rating : 0.22 v8.1.0, 0.14 v7.5.0, 0.19 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.57 v4.0.0
% 4.25/4.32 % Syntax : Number of formulae : 19 ( 1 unt; 6 def)
% 4.25/4.32 % Number of atoms : 115 ( 1 equ)
% 4.25/4.32 % Maximal formula atoms : 19 ( 6 avg)
% 4.25/4.32 % Number of connectives : 97 ( 1 ~; 2 |; 59 &)
% 4.25/4.32 % ( 6 <=>; 29 =>; 0 <=; 0 <~>)
% 4.25/4.32 % Maximal formula depth : 18 ( 7 avg)
% 4.25/4.32 % Maximal term depth : 1 ( 1 avg)
% 4.25/4.32 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 4.25/4.32 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 4.25/4.32 % Number of variables : 54 ( 43 !; 11 ?)
% 4.25/4.32 % SPC : FOF_THM_RFO_SEQ
% 4.25/4.32
% 4.25/4.32 % Comments : Problem generated by the SAD system [VLP07]
% 4.25/4.32 %------------------------------------------------------------------------------
% 4.25/4.32 fof(mElmSort,axiom,
% 4.25/4.32 ! [W0] :
% 4.25/4.32 ( aElement0(W0)
% 4.25/4.32 => $true ) ).
% 4.25/4.32
% 4.25/4.32 fof(mRelSort,axiom,
% 4.25/4.32 ! [W0] :
% 4.25/4.32 ( aRewritingSystem0(W0)
% 4.25/4.32 => $true ) ).
% 4.25/4.32
% 4.25/4.32 fof(mReduct,axiom,
% 4.25/4.32 ! [W0,W1] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aRewritingSystem0(W1) )
% 4.25/4.32 => ! [W2] :
% 4.25/4.32 ( aReductOfIn0(W2,W0,W1)
% 4.25/4.32 => aElement0(W2) ) ) ).
% 4.25/4.32
% 4.25/4.32 fof(mWFOrd,axiom,
% 4.25/4.32 ! [W0,W1] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aElement0(W1) )
% 4.25/4.32 => ( iLess0(W0,W1)
% 4.25/4.32 => $true ) ) ).
% 4.25/4.32
% 4.25/4.32 fof(mTCbr,axiom,
% 4.25/4.32 ! [W0,W1,W2] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aRewritingSystem0(W1)
% 4.25/4.32 & aElement0(W2) )
% 4.25/4.32 => ( sdtmndtplgtdt0(W0,W1,W2)
% 4.25/4.32 => $true ) ) ).
% 4.25/4.32
% 4.25/4.32 fof(mTCDef,definition,
% 4.25/4.32 ! [W0,W1,W2] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aRewritingSystem0(W1)
% 4.25/4.32 & aElement0(W2) )
% 4.25/4.32 => ( sdtmndtplgtdt0(W0,W1,W2)
% 4.25/4.32 <=> ( aReductOfIn0(W2,W0,W1)
% 4.25/4.32 | ? [W3] :
% 4.25/4.32 ( aElement0(W3)
% 4.25/4.32 & aReductOfIn0(W3,W0,W1)
% 4.25/4.32 & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
% 4.25/4.32
% 4.25/4.32 fof(mTCTrans,axiom,
% 4.25/4.32 ! [W0,W1,W2,W3] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aRewritingSystem0(W1)
% 4.25/4.32 & aElement0(W2)
% 4.25/4.32 & aElement0(W3) )
% 4.25/4.32 => ( ( sdtmndtplgtdt0(W0,W1,W2)
% 4.25/4.32 & sdtmndtplgtdt0(W2,W1,W3) )
% 4.25/4.32 => sdtmndtplgtdt0(W0,W1,W3) ) ) ).
% 4.25/4.32
% 4.25/4.32 fof(mTCRDef,definition,
% 4.25/4.32 ! [W0,W1,W2] :
% 4.25/4.32 ( ( aElement0(W0)
% 4.25/4.32 & aRewritingSystem0(W1)
% 4.25/4.32 & aElement0(W2) )
% 4.25/4.32 => ( sdtmndtasgtdt0(W0,W1,W2)
% 4.25/4.32 <=> ( W0 = W2
% 4.25/4.33 | sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mTCRTrans,axiom,
% 4.25/4.33 ! [W0,W1,W2,W3] :
% 4.25/4.33 ( ( aElement0(W0)
% 4.25/4.33 & aRewritingSystem0(W1)
% 4.25/4.33 & aElement0(W2)
% 4.25/4.33 & aElement0(W3) )
% 4.25/4.33 => ( ( sdtmndtasgtdt0(W0,W1,W2)
% 4.25/4.33 & sdtmndtasgtdt0(W2,W1,W3) )
% 4.25/4.33 => sdtmndtasgtdt0(W0,W1,W3) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mCRDef,definition,
% 4.25/4.33 ! [W0] :
% 4.25/4.33 ( aRewritingSystem0(W0)
% 4.25/4.33 => ( isConfluent0(W0)
% 4.25/4.33 <=> ! [W1,W2,W3] :
% 4.25/4.33 ( ( aElement0(W1)
% 4.25/4.33 & aElement0(W2)
% 4.25/4.33 & aElement0(W3)
% 4.25/4.33 & sdtmndtasgtdt0(W1,W0,W2)
% 4.25/4.33 & sdtmndtasgtdt0(W1,W0,W3) )
% 4.25/4.33 => ? [W4] :
% 4.25/4.33 ( aElement0(W4)
% 4.25/4.33 & sdtmndtasgtdt0(W2,W0,W4)
% 4.25/4.33 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mWCRDef,definition,
% 4.25/4.33 ! [W0] :
% 4.25/4.33 ( aRewritingSystem0(W0)
% 4.25/4.33 => ( isLocallyConfluent0(W0)
% 4.25/4.33 <=> ! [W1,W2,W3] :
% 4.25/4.33 ( ( aElement0(W1)
% 4.25/4.33 & aElement0(W2)
% 4.25/4.33 & aElement0(W3)
% 4.25/4.33 & aReductOfIn0(W2,W1,W0)
% 4.25/4.33 & aReductOfIn0(W3,W1,W0) )
% 4.25/4.33 => ? [W4] :
% 4.25/4.33 ( aElement0(W4)
% 4.25/4.33 & sdtmndtasgtdt0(W2,W0,W4)
% 4.25/4.33 & sdtmndtasgtdt0(W3,W0,W4) ) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mTermin,definition,
% 4.25/4.33 ! [W0] :
% 4.25/4.33 ( aRewritingSystem0(W0)
% 4.25/4.33 => ( isTerminating0(W0)
% 4.25/4.33 <=> ! [W1,W2] :
% 4.25/4.33 ( ( aElement0(W1)
% 4.25/4.33 & aElement0(W2) )
% 4.25/4.33 => ( sdtmndtplgtdt0(W1,W0,W2)
% 4.25/4.33 => iLess0(W2,W1) ) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mNFRDef,definition,
% 4.25/4.33 ! [W0,W1] :
% 4.25/4.33 ( ( aElement0(W0)
% 4.25/4.33 & aRewritingSystem0(W1) )
% 4.25/4.33 => ! [W2] :
% 4.25/4.33 ( aNormalFormOfIn0(W2,W0,W1)
% 4.25/4.33 <=> ( aElement0(W2)
% 4.25/4.33 & sdtmndtasgtdt0(W0,W1,W2)
% 4.25/4.33 & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(mTermNF,axiom,
% 4.25/4.33 ! [W0] :
% 4.25/4.33 ( ( aRewritingSystem0(W0)
% 4.25/4.33 & isTerminating0(W0) )
% 4.25/4.33 => ! [W1] :
% 4.25/4.33 ( aElement0(W1)
% 4.25/4.33 => ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(m__656,hypothesis,
% 4.25/4.33 aRewritingSystem0(xR) ).
% 4.25/4.33
% 4.25/4.33 fof(m__656_01,hypothesis,
% 4.25/4.33 ( isLocallyConfluent0(xR)
% 4.25/4.33 & isTerminating0(xR) ) ).
% 4.25/4.33
% 4.25/4.33 fof(m__731,hypothesis,
% 4.25/4.33 ( aElement0(xa)
% 4.25/4.33 & aElement0(xb)
% 4.25/4.33 & aElement0(xc) ) ).
% 4.25/4.33
% 4.25/4.33 fof(m__715,hypothesis,
% 4.25/4.33 ! [W0,W1,W2] :
% 4.25/4.33 ( ( aElement0(W0)
% 4.25/4.33 & aElement0(W1)
% 4.25/4.33 & aElement0(W2)
% 4.25/4.33 & sdtmndtasgtdt0(W0,xR,W1)
% 4.25/4.33 & sdtmndtasgtdt0(W0,xR,W2) )
% 4.25/4.33 => ( iLess0(W0,xa)
% 4.25/4.33 => ? [W3] :
% 4.25/4.33 ( aElement0(W3)
% 4.25/4.33 & sdtmndtasgtdt0(W1,xR,W3)
% 4.25/4.33 & sdtmndtasgtdt0(W2,xR,W3) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 fof(m__,conjecture,
% 4.25/4.33 ( ( ( sdtmndtplgtdt0(xa,xR,xb)
% 4.25/4.33 & sdtmndtplgtdt0(xa,xR,xc) )
% 4.25/4.33 => ? [W0] :
% 4.25/4.33 ( aElement0(W0)
% 4.25/4.33 & aReductOfIn0(W0,xa,xR)
% 4.25/4.33 & sdtmndtasgtdt0(W0,xR,xb)
% 4.25/4.33 & ? [W1] :
% 4.25/4.33 ( aElement0(W1)
% 4.25/4.33 & aReductOfIn0(W1,xa,xR)
% 4.25/4.33 & sdtmndtasgtdt0(W1,xR,xc)
% 4.25/4.33 & ? [W2] :
% 4.25/4.33 ( aElement0(W2)
% 4.25/4.33 & sdtmndtasgtdt0(W0,xR,W2)
% 4.25/4.33 & sdtmndtasgtdt0(W1,xR,W2)
% 4.25/4.33 & ? [W3] :
% 4.25/4.33 ( aNormalFormOfIn0(W3,W2,xR)
% 4.25/4.33 & sdtmndtasgtdt0(xb,xR,W3)
% 4.25/4.33 & sdtmndtasgtdt0(xc,xR,W3) ) ) ) ) )
% 4.25/4.33 => ( ( sdtmndtasgtdt0(xa,xR,xb)
% 4.25/4.33 & sdtmndtasgtdt0(xa,xR,xc) )
% 4.25/4.33 => ? [W0] :
% 4.25/4.33 ( aElement0(W0)
% 4.25/4.33 & sdtmndtasgtdt0(xb,xR,W0)
% 4.25/4.33 & sdtmndtasgtdt0(xc,xR,W0) ) ) ) ).
% 4.25/4.33
% 4.25/4.33 %------------------------------------------------------------------------------
% 4.25/4.33 %-------------------------------------------
% 4.25/4.33 % Proof found
% 4.25/4.33 % SZS status Theorem for theBenchmark
% 4.25/4.33 % SZS output start Proof
% 4.29/4.33 %ClaNum:112(EqnAxiom:49)
% 4.29/4.33 %VarNum:381(SingletonVarNum:106)
% 4.29/4.33 %MaxLitNum:8
% 4.29/4.33 %MaxfuncDepth:1
% 4.29/4.33 %SharedTerms:30
% 4.29/4.33 %goalClause: 56 57 78 79 80 84 86 87 88 89 90 91 92 93 94
% 4.29/4.33 %singleGoalClaCount:2
% 4.29/4.33 [50]P1(a1)
% 4.29/4.33 [51]P1(a21)
% 4.29/4.33 [52]P1(a22)
% 4.29/4.33 [53]P2(a2)
% 4.29/4.33 [54]P5(a2)
% 4.29/4.33 [55]P8(a2)
% 4.29/4.33 [56]P9(a1,a2,a21)
% 4.29/4.33 [57]P9(a1,a2,a22)
% 4.29/4.33 [78]P1(a8)+~P10(a1,a2,a21)+~P10(a1,a2,a22)
% 4.29/4.33 [79]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P1(a10)
% 4.29/4.33 [80]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P1(a11)
% 4.29/4.33 [86]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P3(a8,a1,a2)
% 4.29/4.33 [87]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P3(a10,a1,a2)
% 4.29/4.33 [88]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a21,a2,a12)
% 4.29/4.33 [89]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a22,a2,a12)
% 4.29/4.33 [90]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a8,a2,a21)
% 4.29/4.33 [91]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a8,a2,a11)
% 4.29/4.33 [92]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a10,a2,a22)
% 4.29/4.33 [93]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P9(a10,a2,a11)
% 4.29/4.33 [94]~P10(a1,a2,a21)+~P10(a1,a2,a22)+P4(a12,a11,a2)
% 4.29/4.33 [84]~P1(x841)+~P9(a21,a2,x841)+~P9(a22,a2,x841)
% 4.29/4.33 [58]~P2(x581)+P6(x581)+P1(f3(x581))
% 4.29/4.33 [59]~P2(x591)+P6(x591)+P1(f15(x591))
% 4.29/4.33 [60]~P2(x601)+P6(x601)+P1(f16(x601))
% 4.29/4.33 [61]~P2(x611)+P5(x611)+P1(f17(x611))
% 4.29/4.33 [62]~P2(x621)+P5(x621)+P1(f19(x621))
% 4.29/4.33 [63]~P2(x631)+P5(x631)+P1(f20(x631))
% 4.29/4.33 [64]~P2(x641)+P8(x641)+P1(f4(x641))
% 4.29/4.33 [65]~P2(x651)+P8(x651)+P1(f5(x651))
% 4.29/4.33 [66]~P2(x661)+P8(x661)+~P7(f5(x661),f4(x661))
% 4.29/4.33 [67]~P2(x671)+P6(x671)+P9(f3(x671),x671,f15(x671))
% 4.29/4.33 [68]~P2(x681)+P6(x681)+P9(f3(x681),x681,f16(x681))
% 4.29/4.33 [69]~P2(x691)+P8(x691)+P10(f4(x691),x691,f5(x691))
% 4.29/4.33 [70]~P2(x701)+P5(x701)+P3(f19(x701),f17(x701),x701)
% 4.29/4.33 [71]~P2(x711)+P5(x711)+P3(f20(x711),f17(x711),x711)
% 4.29/4.33 [73]~P1(x732)+~P2(x731)+~P8(x731)+P4(f6(x731,x732),x732,x731)
% 4.29/4.33 [74]~P3(x741,x742,x743)+P1(x741)+~P1(x742)+~P2(x743)
% 4.29/4.33 [75]~P4(x751,x752,x753)+P1(x751)+~P1(x752)+~P2(x753)
% 4.29/4.33 [77]~P1(x771)+~P2(x772)+~P4(x773,x771,x772)+P9(x771,x772,x773)
% 4.29/4.33 [85]~P4(x854,x851,x852)+~P1(x851)+~P3(x853,x854,x852)+~P2(x852)
% 4.29/4.33 [95]~P2(x951)+P6(x951)+~P1(x952)+~P9(f15(x951),x951,x952)+~P9(f16(x951),x951,x952)
% 4.29/4.33 [96]~P2(x961)+P5(x961)+~P1(x962)+~P9(f19(x961),x961,x962)+~P9(f20(x961),x961,x962)
% 4.29/4.33 [72]~E(x721,x723)+~P1(x723)+~P1(x721)+~P2(x722)+P9(x721,x722,x723)
% 4.29/4.33 [81]~P1(x811)+~P1(x813)+~P2(x812)+~P3(x813,x811,x812)+P10(x811,x812,x813)
% 4.29/4.33 [82]~P1(x823)+~P1(x821)+~P2(x822)+~P10(x821,x822,x823)+P9(x821,x822,x823)
% 4.29/4.33 [76]~P1(x761)+~P1(x762)+~P8(x763)+~P10(x762,x763,x761)+P7(x761,x762)+~P2(x763)
% 4.29/4.33 [83]~P1(x832)+~P1(x831)+~P2(x833)+~P9(x831,x833,x832)+E(x831,x832)+P10(x831,x833,x832)
% 4.29/4.33 [100]~P1(x1001)+~P1(x1002)+~P2(x1003)+~P10(x1002,x1003,x1001)+P3(x1001,x1002,x1003)+P1(f13(x1002,x1003,x1001))
% 4.29/4.33 [102]~P1(x1021)+~P1(x1022)+~P2(x1023)+~P10(x1022,x1023,x1021)+P3(x1021,x1022,x1023)+P3(f13(x1022,x1023,x1021),x1022,x1023)
% 4.29/4.33 [103]~P1(x1031)+~P1(x1032)+~P2(x1033)+~P10(x1032,x1033,x1031)+P3(x1031,x1032,x1033)+P10(f13(x1032,x1033,x1031),x1033,x1031)
% 4.29/4.33 [104]~P1(x1042)+~P1(x1041)+~P2(x1043)+~P9(x1042,x1043,x1041)+P4(x1041,x1042,x1043)+P3(f7(x1042,x1043,x1041),x1041,x1043)
% 4.29/4.33 [101]~P1(x1013)+~P1(x1012)+~P1(x1011)+~P9(x1011,a2,x1013)+~P9(x1011,a2,x1012)+~P7(x1011,a1)+P1(f9(x1011,x1012,x1013))
% 4.29/4.33 [105]~P1(x1053)+~P1(x1052)+~P1(x1051)+~P9(x1052,a2,x1053)+~P9(x1052,a2,x1051)+~P7(x1052,a1)+P9(x1051,a2,f9(x1052,x1053,x1051))
% 4.29/4.33 [106]~P1(x1063)+~P1(x1062)+~P1(x1061)+~P9(x1062,a2,x1063)+~P9(x1062,a2,x1061)+~P7(x1062,a1)+P9(x1061,a2,f9(x1062,x1061,x1063))
% 4.29/4.33 [97]~P1(x973)+~P1(x971)+~P2(x972)+~P3(x974,x971,x972)+~P10(x974,x972,x973)+P10(x971,x972,x973)+~P1(x974)
% 4.29/4.33 [98]~P1(x983)+~P1(x981)+~P2(x982)+~P10(x984,x982,x983)+~P10(x981,x982,x984)+P10(x981,x982,x983)+~P1(x984)
% 4.29/4.33 [99]~P1(x993)+~P1(x991)+~P2(x992)+~P9(x994,x992,x993)+~P9(x991,x992,x994)+P9(x991,x992,x993)+~P1(x994)
% 4.29/4.33 [107]~P1(x1074)+~P1(x1073)+~P1(x1072)+~P2(x1071)+~P6(x1071)+~P9(x1072,x1071,x1074)+~P9(x1072,x1071,x1073)+P1(f14(x1071,x1072,x1073,x1074))
% 4.29/4.33 [108]~P1(x1084)+~P1(x1083)+~P1(x1082)+~P2(x1081)+~P5(x1081)+~P3(x1084,x1082,x1081)+~P3(x1083,x1082,x1081)+P1(f18(x1081,x1082,x1083,x1084))
% 4.29/4.33 [109]~P1(x1094)+~P1(x1093)+~P1(x1091)+~P2(x1092)+~P6(x1092)+~P9(x1093,x1092,x1094)+~P9(x1093,x1092,x1091)+P9(x1091,x1092,f14(x1092,x1093,x1094,x1091))
% 4.29/4.33 [110]~P1(x1104)+~P1(x1103)+~P1(x1101)+~P2(x1102)+~P6(x1102)+~P9(x1103,x1102,x1104)+~P9(x1103,x1102,x1101)+P9(x1101,x1102,f14(x1102,x1103,x1101,x1104))
% 4.29/4.33 [111]~P1(x1114)+~P1(x1113)+~P1(x1111)+~P2(x1112)+~P5(x1112)+~P3(x1114,x1113,x1112)+~P3(x1111,x1113,x1112)+P9(x1111,x1112,f18(x1112,x1113,x1114,x1111))
% 4.29/4.33 [112]~P1(x1124)+~P1(x1123)+~P1(x1121)+~P2(x1122)+~P5(x1122)+~P3(x1124,x1123,x1122)+~P3(x1121,x1123,x1122)+P9(x1121,x1122,f18(x1122,x1123,x1121,x1124))
% 4.29/4.33 %EqnAxiom
% 4.29/4.33 [1]E(x11,x11)
% 4.29/4.33 [2]E(x22,x21)+~E(x21,x22)
% 4.29/4.33 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.29/4.33 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 4.29/4.33 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 4.29/4.33 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 4.29/4.33 [7]~E(x71,x72)+E(f17(x71),f17(x72))
% 4.29/4.33 [8]~E(x81,x82)+E(f19(x81),f19(x82))
% 4.29/4.33 [9]~E(x91,x92)+E(f20(x91),f20(x92))
% 4.29/4.33 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 4.29/4.33 [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 4.29/4.33 [12]~E(x121,x122)+E(f13(x121,x123,x124),f13(x122,x123,x124))
% 4.29/4.33 [13]~E(x131,x132)+E(f13(x133,x131,x134),f13(x133,x132,x134))
% 4.29/4.33 [14]~E(x141,x142)+E(f13(x143,x144,x141),f13(x143,x144,x142))
% 4.29/4.33 [15]~E(x151,x152)+E(f14(x151,x153,x154,x155),f14(x152,x153,x154,x155))
% 4.29/4.33 [16]~E(x161,x162)+E(f14(x163,x161,x164,x165),f14(x163,x162,x164,x165))
% 4.29/4.33 [17]~E(x171,x172)+E(f14(x173,x174,x171,x175),f14(x173,x174,x172,x175))
% 4.29/4.33 [18]~E(x181,x182)+E(f14(x183,x184,x185,x181),f14(x183,x184,x185,x182))
% 4.29/4.33 [19]~E(x191,x192)+E(f18(x191,x193,x194,x195),f18(x192,x193,x194,x195))
% 4.29/4.33 [20]~E(x201,x202)+E(f18(x203,x201,x204,x205),f18(x203,x202,x204,x205))
% 4.29/4.33 [21]~E(x211,x212)+E(f18(x213,x214,x211,x215),f18(x213,x214,x212,x215))
% 4.29/4.33 [22]~E(x221,x222)+E(f18(x223,x224,x225,x221),f18(x223,x224,x225,x222))
% 4.29/4.33 [23]~E(x231,x232)+E(f9(x231,x233,x234),f9(x232,x233,x234))
% 4.29/4.33 [24]~E(x241,x242)+E(f9(x243,x241,x244),f9(x243,x242,x244))
% 4.29/4.33 [25]~E(x251,x252)+E(f9(x253,x254,x251),f9(x253,x254,x252))
% 4.29/4.33 [26]~E(x261,x262)+E(f6(x261,x263),f6(x262,x263))
% 4.29/4.33 [27]~E(x271,x272)+E(f6(x273,x271),f6(x273,x272))
% 4.29/4.33 [28]~E(x281,x282)+E(f7(x281,x283,x284),f7(x282,x283,x284))
% 4.29/4.33 [29]~E(x291,x292)+E(f7(x293,x291,x294),f7(x293,x292,x294))
% 4.29/4.33 [30]~E(x301,x302)+E(f7(x303,x304,x301),f7(x303,x304,x302))
% 4.29/4.33 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 4.29/4.33 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 4.29/4.33 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 4.29/4.33 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 4.29/4.33 [35]P9(x352,x353,x354)+~E(x351,x352)+~P9(x351,x353,x354)
% 4.29/4.33 [36]P9(x363,x362,x364)+~E(x361,x362)+~P9(x363,x361,x364)
% 4.29/4.33 [37]P9(x373,x374,x372)+~E(x371,x372)+~P9(x373,x374,x371)
% 4.29/4.33 [38]~P2(x381)+P2(x382)+~E(x381,x382)
% 4.29/4.33 [39]~P5(x391)+P5(x392)+~E(x391,x392)
% 4.29/4.33 [40]~P8(x401)+P8(x402)+~E(x401,x402)
% 4.29/4.33 [41]P10(x412,x413,x414)+~E(x411,x412)+~P10(x411,x413,x414)
% 4.29/4.33 [42]P10(x423,x422,x424)+~E(x421,x422)+~P10(x423,x421,x424)
% 4.29/4.33 [43]P10(x433,x434,x432)+~E(x431,x432)+~P10(x433,x434,x431)
% 4.29/4.33 [44]P4(x442,x443,x444)+~E(x441,x442)+~P4(x441,x443,x444)
% 4.29/4.33 [45]P4(x453,x452,x454)+~E(x451,x452)+~P4(x453,x451,x454)
% 4.29/4.33 [46]P4(x463,x464,x462)+~E(x461,x462)+~P4(x463,x464,x461)
% 4.29/4.33 [47]~P6(x471)+P6(x472)+~E(x471,x472)
% 4.29/4.33 [48]P7(x482,x483)+~E(x481,x482)+~P7(x481,x483)
% 4.29/4.33 [49]P7(x493,x492)+~E(x491,x492)+~P7(x493,x491)
% 4.29/4.33
% 4.29/4.33 %-------------------------------------------
% 4.29/4.34 cnf(127,plain,
% 4.29/4.34 (~P3(x1271,f6(a2,a1),a2)),
% 4.29/4.34 inference(scs_inference,[],[50,53,55,40,73,84,60,59,58,68,67,85])).
% 4.29/4.34 cnf(129,plain,
% 4.29/4.34 (P9(a1,a2,f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[50,53,55,40,73,84,60,59,58,68,67,85,77])).
% 4.29/4.34 cnf(131,plain,
% 4.29/4.34 (P1(f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[50,53,55,40,73,84,60,59,58,68,67,85,77,75])).
% 4.29/4.34 cnf(133,plain,
% 4.29/4.34 (P1(x1331)+~P3(x1331,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[50,53,55,40,73,84,60,59,58,68,67,85,77,75,74])).
% 4.29/4.34 cnf(140,plain,
% 4.29/4.34 (P4(f6(a2,a21),a21,a2)),
% 4.29/4.34 inference(scs_inference,[],[51,55,53,73])).
% 4.29/4.34 cnf(142,plain,
% 4.29/4.34 (P1(f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[51,55,53,73,75])).
% 4.29/4.34 cnf(145,plain,
% 4.29/4.34 (~P3(x1451,f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[51,54,55,53,73,75,39,85])).
% 4.29/4.34 cnf(147,plain,
% 4.29/4.34 (P9(a21,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[51,54,55,53,73,75,39,85,72])).
% 4.29/4.34 cnf(151,plain,
% 4.29/4.34 (P10(a1,a2,a21)+E(a1,a21)),
% 4.29/4.34 inference(scs_inference,[],[56,51,54,55,50,53,73,75,39,85,72,95,83])).
% 4.29/4.34 cnf(159,plain,
% 4.29/4.34 (P3(a21,a1,a2)+E(a1,a21)+P3(f13(a1,a2,a21),a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[56,51,54,55,50,53,73,75,39,85,72,95,83,76,104,103,102])).
% 4.29/4.34 cnf(162,plain,
% 4.29/4.34 (~P9(a22,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[51,147,84])).
% 4.29/4.34 cnf(164,plain,
% 4.29/4.34 (~P4(a21,a22,a2)),
% 4.29/4.34 inference(scs_inference,[],[52,51,53,147,84,77])).
% 4.29/4.34 cnf(166,plain,
% 4.29/4.34 (~P10(a22,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[52,51,53,147,84,77,82])).
% 4.29/4.34 cnf(168,plain,
% 4.29/4.34 (~P3(a21,a22,a2)),
% 4.29/4.34 inference(scs_inference,[],[52,51,53,147,84,77,82,81])).
% 4.29/4.34 cnf(170,plain,
% 4.29/4.34 (P4(f6(a2,a22),a22,a2)),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73])).
% 4.29/4.34 cnf(172,plain,
% 4.29/4.34 (~E(a22,a21)),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73,72])).
% 4.29/4.34 cnf(174,plain,
% 4.29/4.34 (P1(f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73,72,75])).
% 4.29/4.34 cnf(176,plain,
% 4.29/4.34 (~P3(x1761,f6(a2,a22),a2)),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73,72,75,85])).
% 4.29/4.34 cnf(178,plain,
% 4.29/4.34 (~E(a21,a22)),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73,72,75,85,2])).
% 4.29/4.34 cnf(180,plain,
% 4.29/4.34 (~E(f6(a2,a22),a21)),
% 4.29/4.34 inference(scs_inference,[],[52,55,51,53,147,84,77,82,81,73,72,75,85,2,46,44])).
% 4.29/4.34 cnf(192,plain,
% 4.29/4.34 (~E(a1,a22)),
% 4.29/4.34 inference(scs_inference,[],[162,56,35])).
% 4.29/4.34 cnf(193,plain,
% 4.29/4.34 (~P9(a22,a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[52,50,51,53,162,56,35,99])).
% 4.29/4.34 cnf(195,plain,
% 4.29/4.34 (P10(a1,a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[57,52,50,51,53,162,56,35,99,83])).
% 4.29/4.34 cnf(198,plain,
% 4.29/4.34 (P7(a22,a1)),
% 4.29/4.34 inference(scs_inference,[],[57,55,52,50,51,53,162,164,56,35,99,83,45,76])).
% 4.29/4.34 cnf(200,plain,
% 4.29/4.34 (~P4(a1,a22,a2)),
% 4.29/4.34 inference(scs_inference,[],[57,55,52,50,51,53,162,164,56,35,99,83,45,76,77])).
% 4.29/4.34 cnf(213,plain,
% 4.29/4.34 (~P3(x2131,f6(a2,a21),a2)),
% 4.29/4.34 inference(rename_variables,[],[145])).
% 4.29/4.34 cnf(215,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,a22)+P3(a22,f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[57,55,52,50,51,53,162,142,164,145,213,129,131,56,35,99,83,45,76,77,100,97,103,105,101,104,102])).
% 4.29/4.34 cnf(221,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P1(a8)),
% 4.29/4.34 inference(scs_inference,[],[195,78])).
% 4.29/4.34 cnf(222,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P1(a10)),
% 4.29/4.34 inference(scs_inference,[],[195,79])).
% 4.29/4.34 cnf(223,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P1(a11)),
% 4.29/4.34 inference(scs_inference,[],[195,80])).
% 4.29/4.34 cnf(224,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P3(a8,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[195,86])).
% 4.29/4.34 cnf(225,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P3(a10,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[195,87])).
% 4.29/4.34 cnf(226,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a21,a2,a12)),
% 4.29/4.34 inference(scs_inference,[],[195,88])).
% 4.29/4.34 cnf(227,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a22,a2,a12)),
% 4.29/4.34 inference(scs_inference,[],[195,89])).
% 4.29/4.34 cnf(228,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a8,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[195,90])).
% 4.29/4.34 cnf(229,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a8,a2,a11)),
% 4.29/4.34 inference(scs_inference,[],[195,91])).
% 4.29/4.34 cnf(230,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a10,a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[195,92])).
% 4.29/4.34 cnf(231,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P9(a10,a2,a11)),
% 4.29/4.34 inference(scs_inference,[],[195,93])).
% 4.29/4.34 cnf(232,plain,
% 4.29/4.34 (~P10(a1,a2,a21)+P4(a12,a11,a2)),
% 4.29/4.34 inference(scs_inference,[],[195,94])).
% 4.29/4.34 cnf(234,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[145,215])).
% 4.29/4.34 cnf(237,plain,
% 4.29/4.34 (~E(a1,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[166,195,145,215,43,41])).
% 4.29/4.34 cnf(263,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[50,127,51,52,53,234,142,147,131,195,129,42,110,109,107,100,98])).
% 4.29/4.34 cnf(272,plain,
% 4.29/4.34 (~P9(a22,a2,a22)+P9(a22,a2,f9(a22,a22,a22))),
% 4.29/4.34 inference(scs_inference,[],[52,53,198,195,38,43,105])).
% 4.29/4.34 cnf(287,plain,
% 4.29/4.34 (~P9(a22,a2,x2871)+~E(x2871,a1)),
% 4.29/4.34 inference(scs_inference,[],[193,37])).
% 4.29/4.34 cnf(288,plain,
% 4.29/4.34 (~E(f6(a2,a21),a1)),
% 4.29/4.34 inference(scs_inference,[],[237,193,37,2])).
% 4.29/4.34 cnf(304,plain,
% 4.29/4.34 (P9(a21,a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[53,140,51,77])).
% 4.29/4.34 cnf(307,plain,
% 4.29/4.34 (P4(f6(a2,f6(a2,a1)),f6(a2,a1),a2)),
% 4.29/4.34 inference(scs_inference,[],[55,131,53,140,193,51,77,36,73])).
% 4.29/4.34 cnf(309,plain,
% 4.29/4.34 (~P9(a22,a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[55,131,53,140,193,142,51,77,36,73,84])).
% 4.29/4.34 cnf(311,plain,
% 4.29/4.34 (~P3(x3111,f6(a2,f6(a2,a1)),a2)),
% 4.29/4.34 inference(scs_inference,[],[55,131,53,140,193,142,51,77,36,73,84,85])).
% 4.29/4.34 cnf(313,plain,
% 4.29/4.34 (P1(f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[55,131,53,140,193,142,51,77,36,73,84,85,75])).
% 4.29/4.34 cnf(338,plain,
% 4.29/4.34 (~E(f6(a2,a22),f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[52,53,309,170,77,44])).
% 4.29/4.34 cnf(339,plain,
% 4.29/4.34 (~E(a22,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[52,53,309,170,142,77,44,72])).
% 4.29/4.34 cnf(347,plain,
% 4.29/4.34 (P3(a22,f6(a2,a1),a2)+~P10(f6(a2,a1),a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[52,127,129,131,53,309,263,200,198,170,142,77,44,72,34,37,105,46,43,102])).
% 4.29/4.34 cnf(360,plain,
% 4.29/4.34 (~P10(f6(a2,a1),a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[127,347])).
% 4.29/4.34 cnf(362,plain,
% 4.29/4.34 (P9(f6(a2,a1),a2,f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[53,127,131,307,347,77])).
% 4.29/4.34 cnf(386,plain,
% 4.29/4.34 (~E(a1,f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[360,168,195,32,41])).
% 4.29/4.34 cnf(387,plain,
% 4.29/4.34 (P10(a1,a2,f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[53,129,131,360,168,195,50,32,41,83])).
% 4.29/4.34 cnf(411,plain,
% 4.29/4.34 (~E(f6(a2,a1),a1)),
% 4.29/4.34 inference(scs_inference,[],[386,2])).
% 4.29/4.34 cnf(413,plain,
% 4.29/4.34 (P4(f6(a2,f6(a2,a21)),f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[55,142,386,53,2,31,73])).
% 4.29/4.34 cnf(421,plain,
% 4.29/4.34 (~P10(f6(a2,a1),a2,f6(a2,a21))+P3(f13(f6(a2,a1),a2,f6(a2,a21)),f6(a2,a1),a2)),
% 4.29/4.34 inference(scs_inference,[],[127,55,142,131,386,387,200,51,53,2,31,73,85,74,45,43,102])).
% 4.29/4.34 cnf(435,plain,
% 4.29/4.34 (P1(f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[127,142,413,53,421,75])).
% 4.29/4.34 cnf(444,plain,
% 4.29/4.34 (~P9(a22,a2,x4441)+~E(x4441,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[127,142,172,413,309,193,50,52,53,421,75,3,72,82,109,37])).
% 4.29/4.34 cnf(450,plain,
% 4.29/4.34 (~P9(f6(a2,a21),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[142,288,263,50,53,83])).
% 4.29/4.34 cnf(452,plain,
% 4.29/4.34 (~P4(a1,f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[142,288,263,50,53,83,77])).
% 4.29/4.34 cnf(454,plain,
% 4.29/4.34 (~E(f6(a2,f6(a2,a21)),a1)),
% 4.29/4.34 inference(scs_inference,[],[142,288,413,263,50,53,83,77,44])).
% 4.29/4.34 cnf(466,plain,
% 4.29/4.34 (~P3(x4661,f6(a2,a21),a2)),
% 4.29/4.34 inference(rename_variables,[],[145])).
% 4.29/4.34 cnf(468,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,f6(a2,a21))+~P9(f6(x4681,a21),a2,a1)+P3(f6(a2,a21),f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[145,466,129,142,131,288,413,263,162,309,198,50,52,53,83,77,44,35,26,82,36,34,101,107,103,102])).
% 4.29/4.34 cnf(479,plain,
% 4.29/4.34 (P9(f6(a2,a21),a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[142,413,53,77])).
% 4.29/4.34 cnf(482,plain,
% 4.29/4.34 (~P3(x4821,f6(a2,a21),a2)),
% 4.29/4.34 inference(rename_variables,[],[145])).
% 4.29/4.34 cnf(483,plain,
% 4.29/4.34 (P7(f6(a2,a1),a1)),
% 4.29/4.34 inference(scs_inference,[],[55,145,142,131,387,413,50,53,77,468,76])).
% 4.29/4.34 cnf(493,plain,
% 4.29/4.34 (~P3(x4931,f6(a2,a21),a2)),
% 4.29/4.34 inference(rename_variables,[],[145])).
% 4.29/4.34 cnf(497,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,f6(a2,a21))+P3(f6(a2,a21),f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[55,140,145,482,493,129,142,131,180,387,413,174,195,51,50,52,53,77,468,76,46,98,110,107,100,83,102])).
% 4.29/4.34 cnf(512,plain,
% 4.29/4.34 (~E(a1,f6(a2,f6(a2,a21)))+~P9(f6(a2,a1),a2,f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[145,147,127,142,131,454,304,51,53,497,104,95,109,99,2])).
% 4.29/4.34 cnf(516,plain,
% 4.29/4.34 (~P9(f6(a2,a1),a2,f6(a2,a1))+P9(a21,a2,x5161)+~E(a21,x5161)),
% 4.29/4.34 inference(scs_inference,[],[145,147,127,129,142,131,454,387,304,51,53,497,104,95,109,99,2,42,41,35,37])).
% 4.29/4.34 cnf(521,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a21)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[142,450,479,435,50,53,99])).
% 4.29/4.34 cnf(539,plain,
% 4.29/4.34 (P4(f6(a2,f6(a2,a22)),f6(a2,a22),a2)),
% 4.29/4.34 inference(scs_inference,[],[174,55,53,73])).
% 4.29/4.34 cnf(548,plain,
% 4.29/4.34 (~P9(f6(a2,a22),a2,f6(a2,a22))+~P7(f6(a2,a22),a1)+P1(f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[127,142,131,483,174,56,55,51,50,53,73,105,106,104,101])).
% 4.29/4.34 cnf(599,plain,
% 4.29/4.34 (~E(f6(a2,a21),a22)),
% 4.29/4.34 inference(scs_inference,[],[145,339,34,2])).
% 4.29/4.34 cnf(615,plain,
% 4.29/4.34 (P9(f6(a2,a22),a2,f6(a2,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[539,174,53,77])).
% 4.29/4.34 cnf(618,plain,
% 4.29/4.34 (~P1(x6181)+~P1(x6182)+P9(x6182,x6183,f14(x6183,x6184,x6181,x6182))+~P6(x6183)+~P9(x6184,x6183,x6182)+~P1(x6184)+~P2(x6183)+~P9(x6184,x6183,x6181)),
% 4.29/4.34 inference(rename_variables,[],[109])).
% 4.29/4.34 cnf(619,plain,
% 4.29/4.34 (P1(f6(a2,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[147,539,174,51,53,77,109,75])).
% 4.29/4.34 cnf(629,plain,
% 4.29/4.34 (P9(f6(a2,a1),a2,f6(a2,a1))),
% 4.29/4.34 inference(scs_inference,[],[131,147,539,174,51,53,77,109,75,618,104,101,107,72])).
% 4.29/4.34 cnf(631,plain,
% 4.29/4.34 (~P9(a22,a2,f6(a2,f6(a2,a21)))+~P9(a21,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[131,147,539,435,174,51,53,77,109,75,618,104,101,107,72,84])).
% 4.29/4.34 cnf(635,plain,
% 4.29/4.34 (~E(a1,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[629,512])).
% 4.29/4.34 cnf(639,plain,
% 4.29/4.34 (~E(a21,x6391)+P9(a21,a2,x6391)),
% 4.29/4.34 inference(scs_inference,[],[629,516])).
% 4.29/4.34 cnf(641,plain,
% 4.29/4.34 (P9(f6(a2,a1),a2,f9(f6(a2,a1),f6(a2,a1),f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[131,629,483,106])).
% 4.29/4.34 cnf(645,plain,
% 4.29/4.34 (P9(a21,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[131,142,629,483,479,539,435,304,174,51,53,106,85,99])).
% 4.29/4.34 cnf(647,plain,
% 4.29/4.34 (P1(f9(f6(a2,a1),f6(a2,a1),f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[131,142,629,483,479,539,435,304,174,51,53,106,85,99,101])).
% 4.29/4.34 cnf(649,plain,
% 4.29/4.34 (~P9(a22,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[131,142,629,483,479,539,435,304,174,51,53,106,85,99,101,631])).
% 4.29/4.34 cnf(650,plain,
% 4.29/4.34 (P1(x6501)+~P3(x6501,a22,a2)),
% 4.29/4.34 inference(scs_inference,[],[131,142,629,483,479,539,435,304,174,51,52,53,106,85,99,101,631,74])).
% 4.29/4.34 cnf(675,plain,
% 4.29/4.34 (~E(f6(a2,a21),f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[338,2])).
% 4.29/4.34 cnf(694,plain,
% 4.29/4.34 (~P10(a22,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[649,483,435,174,52,131,53,106,82])).
% 4.29/4.34 cnf(703,plain,
% 4.29/4.34 (~P3(x7031,f6(a2,a22),a2)),
% 4.29/4.34 inference(rename_variables,[],[176])).
% 4.29/4.34 cnf(705,plain,
% 4.29/4.34 (~P10(f6(a2,a22),a2,f6(a2,a21))+P3(f13(f6(a2,a22),a2,f6(a2,a21)),f6(a2,a22),a2)),
% 4.29/4.34 inference(scs_inference,[],[142,452,649,176,703,483,435,57,195,174,52,131,50,53,106,82,109,42,45,104,100,102])).
% 4.29/4.34 cnf(712,plain,
% 4.29/4.34 (~P10(f6(a2,a22),a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[176,705])).
% 4.29/4.34 cnf(713,plain,
% 4.29/4.34 (~P3(x7131,f6(a2,a22),a2)),
% 4.29/4.34 inference(rename_variables,[],[176])).
% 4.29/4.34 cnf(728,plain,
% 4.29/4.34 (~P10(f6(a2,a22),a2,f6(a2,a22))+P3(f6(a2,a22),f6(a2,a22),a2)),
% 4.29/4.34 inference(scs_inference,[],[142,170,166,147,675,694,647,521,176,713,56,435,304,174,51,52,50,53,705,81,110,32,31,97,107,83,35,46,102])).
% 4.29/4.34 cnf(740,plain,
% 4.29/4.34 (~P9(f6(a2,a21),a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[142,599,234,176,52,53,728,83])).
% 4.29/4.34 cnf(760,plain,
% 4.29/4.34 (~P4(a22,f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[740,142,53,77])).
% 4.29/4.34 cnf(762,plain,
% 4.29/4.34 (~P9(f6(a2,a22),a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[740,712,338,174,142,53,77,83])).
% 4.29/4.34 cnf(797,plain,
% 4.29/4.34 (P9(a22,a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[170,52,53,77])).
% 4.29/4.34 cnf(801,plain,
% 4.29/4.34 (~P9(f6(a2,a22),a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[170,174,762,57,304,142,51,52,50,53,77,109,99])).
% 4.29/4.34 cnf(819,plain,
% 4.29/4.34 (P9(f6(a2,a22),a2,f9(a22,f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[174,797,198,52,105])).
% 4.29/4.34 cnf(821,plain,
% 4.29/4.34 (P1(f9(a22,f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[174,797,198,52,105,101])).
% 4.29/4.34 cnf(823,plain,
% 4.29/4.34 (~P9(a21,a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,797,198,52,105,101,84])).
% 4.29/4.34 cnf(825,plain,
% 4.29/4.34 (~E(f6(a2,f6(a2,a21)),f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,797,645,198,52,105,101,84,37])).
% 4.29/4.34 cnf(871,plain,
% 4.29/4.34 (~P10(f6(a2,a22),a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[174,801,51,53,82])).
% 4.29/4.34 cnf(873,plain,
% 4.29/4.34 (~P9(f9(a22,f6(a2,a22),f6(a2,a22)),a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[174,819,801,821,51,53,82,99])).
% 4.29/4.34 cnf(875,plain,
% 4.29/4.34 (~P9(a22,a2,a22)+P1(f9(a22,a22,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[174,819,801,821,797,198,51,52,53,82,99,101])).
% 4.29/4.34 cnf(879,plain,
% 4.29/4.34 (~E(f6(a2,a22),x8791)+P1(x8791)),
% 4.29/4.34 inference(scs_inference,[],[174,825,819,801,821,797,198,51,52,53,82,99,101,2,37,31])).
% 4.29/4.34 cnf(886,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,f6(a2,a22))+P3(f6(a2,a22),f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[162,170,174,825,819,801,483,821,629,797,198,145,142,51,131,52,53,82,99,101,2,37,31,105,45,36,107,102])).
% 4.29/4.34 cnf(898,plain,
% 4.29/4.34 (~P10(f9(a22,f6(a2,a22),f6(a2,a22)),a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[873,821,145,51,53,886,82])).
% 4.29/4.34 cnf(900,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a22)),a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[174,873,615,762,821,619,145,142,51,53,886,82,99])).
% 4.29/4.34 cnf(904,plain,
% 4.29/4.34 (~P9(f6(a2,a21),a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,873,675,615,762,821,619,145,55,142,51,50,53,886,82,99,76,83])).
% 4.29/4.34 cnf(906,plain,
% 4.29/4.34 (~P10(f6(a2,a1),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[174,873,675,360,615,762,821,619,145,195,55,142,51,131,50,52,53,886,82,99,76,83,98])).
% 4.29/4.34 cnf(927,plain,
% 4.29/4.34 (~P10(f6(a2,f6(a2,a22)),a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[900,619,142,53,82])).
% 4.29/4.34 cnf(933,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a21)),a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,900,823,645,762,619,435,142,51,53,82,72,77,99])).
% 4.29/4.34 cnf(939,plain,
% 4.29/4.34 (~E(f9(a22,a22,f6(a2,a22)),f6(a2,a21))+~P9(a22,a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[174,900,823,873,645,762,619,797,198,56,435,142,51,52,53,82,72,77,99,106,35,287,444])).
% 4.29/4.34 cnf(943,plain,
% 4.29/4.34 (~P1(f9(a22,a22,f6(a2,a22)))+~P9(a22,a2,a22)+~P9(a21,a2,f9(a22,a22,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[168,174,900,823,873,645,762,619,797,198,56,435,142,51,50,52,53,82,72,77,99,106,35,287,444,34,110,84])).
% 4.29/4.34 cnf(952,plain,
% 4.29/4.34 (~P9(f6(a2,a1),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[906,411,131,50,53,83])).
% 4.29/4.34 cnf(956,plain,
% 4.29/4.34 (~P9(f6(a2,a22),a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[174,906,904,411,649,797,435,142,131,50,52,53,83,77,99])).
% 4.29/4.34 cnf(970,plain,
% 4.29/4.34 (~P3(a21,f9(a22,f6(a2,a22),f6(a2,a22)),a2)),
% 4.29/4.34 inference(scs_inference,[],[898,821,51,53,81])).
% 4.29/4.34 cnf(972,plain,
% 4.29/4.34 (~E(f6(a2,f6(a2,a1)),a1)),
% 4.29/4.34 inference(scs_inference,[],[952,898,362,821,51,53,81,37])).
% 4.29/4.34 cnf(975,plain,
% 4.29/4.34 (~P9(f6(a2,a22),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[174,952,898,362,801,483,629,821,56,51,131,50,53,81,37,106,99])).
% 4.29/4.34 cnf(996,plain,
% 4.29/4.34 (~E(a21,f6(a2,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[900,304,35])).
% 4.29/4.34 cnf(1018,plain,
% 4.29/4.34 (~P10(f6(a2,a22),a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[174,956,483,435,52,131,53,106,82])).
% 4.29/4.34 cnf(1020,plain,
% 4.29/4.34 (~E(f6(a2,f6(a2,a22)),a1)),
% 4.29/4.34 inference(scs_inference,[],[174,956,975,615,483,435,52,131,53,106,82,37])).
% 4.29/4.34 cnf(1062,plain,
% 4.29/4.34 (P1(x10621)+~P4(x10621,f9(f6(a2,a1),f6(a2,a1),f6(a2,a1)),a2)),
% 4.29/4.34 inference(scs_inference,[],[192,873,647,387,147,50,131,53,35,97,3,75])).
% 4.29/4.34 cnf(1069,plain,
% 4.29/4.34 (~P9(a22,a2,a22)+P1(f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[192,176,174,873,647,198,797,387,147,52,50,131,53,35,97,3,75,109,103,101])).
% 4.29/4.34 cnf(1076,plain,
% 4.29/4.34 (P9(a1,a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,57,797,52,50,53,99])).
% 4.29/4.34 cnf(1088,plain,
% 4.29/4.34 (~P1(f16(a2))+P6(a2)+~E(f16(a2),f6(a2,a22))+~P9(f15(a2),a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[176,174,1018,57,304,797,142,51,52,50,53,99,106,95,34,42,100,101,72])).
% 4.29/4.34 cnf(1104,plain,
% 4.29/4.34 (P9(f6(a2,a22),a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[176,174,996,1076,871,975,760,819,50,53,109,104,2,37,45,41,72])).
% 4.29/4.34 cnf(1113,plain,
% 4.29/4.34 (~P7(f6(a2,a22),a1)+P1(f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[1104,548])).
% 4.29/4.34 cnf(1119,plain,
% 4.29/4.34 (P10(a1,a2,f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[174,1076,801,57,56,52,50,53,35,110,83])).
% 4.29/4.34 cnf(1142,plain,
% 4.29/4.34 (P7(f6(a2,a22),a1)),
% 4.29/4.34 inference(scs_inference,[],[174,176,1119,1104,55,50,53,104,76])).
% 4.29/4.34 cnf(1146,plain,
% 4.29/4.34 (P9(f6(a2,a22),a2,f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[174,176,1119,1104,55,50,53,104,76,103,105])).
% 4.29/4.34 cnf(1171,plain,
% 4.29/4.34 (P1(f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[1142,1113])).
% 4.29/4.34 cnf(1228,plain,
% 4.29/4.34 (~P3(f16(a2),f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)),a2)+~P4(x12281,f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)),a2)+~P3(x12282,x12281,a2)),
% 4.29/4.34 inference(scs_inference,[],[178,1171,54,55,53,74,1088,73,112,3,95,75,76,85])).
% 4.29/4.34 cnf(1232,plain,
% 4.29/4.34 (~P9(f9(a22,f6(a2,a22),f6(a2,a22)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[873,821,56,51,50,53,99])).
% 4.29/4.34 cnf(1238,plain,
% 4.29/4.34 (~P9(a22,a2,a22)+P9(a22,a2,f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[198,1020,970,873,821,56,797,51,52,131,174,50,53,99,106,2,34,105])).
% 4.29/4.34 cnf(1242,plain,
% 4.29/4.34 (~P9(f6(a2,a21),a2,f6(a2,a21))+~P7(f6(a2,a21),a1)+P1(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[198,1020,970,873,1171,821,56,797,142,51,52,131,174,50,53,99,106,2,34,105,84,101])).
% 4.29/4.34 cnf(1248,plain,
% 4.29/4.34 (~P10(f6(a2,a21),a2,f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)))+P3(f9(f6(a2,a22),f6(a2,a22),f6(a2,a22)),f6(a2,a21),a2)),
% 4.29/4.34 inference(scs_inference,[],[178,198,1020,970,933,873,1171,821,145,56,435,797,142,51,52,131,174,50,53,99,106,2,34,105,84,101,82,83,102])).
% 4.29/4.34 cnf(1260,plain,
% 4.29/4.34 (P9(f6(a2,a21),a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[193,145,142,52,50,53,1248,82,72])).
% 4.29/4.34 cnf(1262,plain,
% 4.29/4.34 (~P9(f9(f6(a2,a1),f6(a2,a1),f6(a2,a1)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[193,952,641,647,145,142,52,131,50,53,1248,82,72,99])).
% 4.29/4.34 cnf(1281,plain,
% 4.29/4.34 (~P7(f6(a2,a21),a1)+P1(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[1260,1242])).
% 4.29/4.34 cnf(1284,plain,
% 4.29/4.34 (P9(a1,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[1262,645,647,56,435,51,50,53,82,99])).
% 4.29/4.34 cnf(1287,plain,
% 4.29/4.34 (P1(x12871)+~P4(x12871,f6(a2,f6(a2,a22)),a2)),
% 4.29/4.34 inference(scs_inference,[],[1260,1262,645,900,619,647,56,435,51,50,53,82,99,35,75])).
% 4.29/4.34 cnf(1305,plain,
% 4.29/4.34 (P10(a1,a2,f6(a2,f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[1284,635,435,50,53,83])).
% 4.29/4.34 cnf(1309,plain,
% 4.29/4.34 (P9(a1,a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[1284,635,313,56,435,304,142,51,50,53,83,75,99])).
% 4.29/4.34 cnf(1335,plain,
% 4.29/4.34 (~E(a1,f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[972,1309,1146,762,142,50,53,37,109,2])).
% 4.29/4.34 cnf(1336,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a1)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[972,1309,1146,952,362,762,313,142,131,50,53,37,109,2,99])).
% 4.29/4.34 cnf(1356,plain,
% 4.29/4.34 (P10(a1,a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[237,1309,142,50,53,83])).
% 4.29/4.34 cnf(1361,plain,
% 4.29/4.34 (~P9(a22,a2,a22)+P9(f6(a2,a22),a2,f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[237,198,1309,797,142,52,174,50,53,83,101,3,106])).
% 4.29/4.34 cnf(1398,plain,
% 4.29/4.34 (P7(f6(a2,a21),a1)),
% 4.29/4.34 inference(scs_inference,[],[1356,55,142,50,53,76])).
% 4.29/4.34 cnf(1418,plain,
% 4.29/4.34 (P1(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[1398,1281])).
% 4.29/4.34 cnf(1420,plain,
% 4.29/4.34 (P4(f6(a2,x14201),x14201,a2)+~P3(x14201,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[55,53,133,73])).
% 4.29/4.34 cnf(1424,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a22)),a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[304,1418,900,619,142,51,53,74,99])).
% 4.29/4.34 cnf(1476,plain,
% 4.29/4.34 (~E(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)),x14761)+P1(x14761)),
% 4.29/4.34 inference(scs_inference,[],[304,1262,1305,1418,647,435,147,55,51,142,50,53,76,109,77,31])).
% 4.29/4.34 cnf(1522,plain,
% 4.29/4.34 (P9(f6(a2,a21),a2,f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)))),
% 4.29/4.34 inference(scs_inference,[],[1398,1260,142,105])).
% 4.29/4.34 cnf(1544,plain,
% 4.29/4.34 (~E(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)),f6(a2,a22))),
% 4.29/4.34 inference(scs_inference,[],[1522,1336,904,927,1356,313,619,142,50,53,77,98,37])).
% 4.29/4.34 cnf(1545,plain,
% 4.29/4.34 (~P9(f6(a2,f6(a2,a22)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[1522,1020,1336,904,927,1356,313,619,142,50,53,77,98,37,83])).
% 4.29/4.34 cnf(1564,plain,
% 4.29/4.34 (P9(a1,a2,f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[313,1545,362,619,129,131,50,53,77,99])).
% 4.29/4.34 cnf(1569,plain,
% 4.29/4.34 (P9(a22,a2,a22)),
% 4.29/4.34 inference(scs_inference,[],[311,313,1545,362,166,619,129,51,131,52,50,53,77,99,97,33,72])).
% 4.29/4.34 cnf(1576,plain,
% 4.29/4.34 (P9(a22,a2,f9(a22,a22,a22))),
% 4.29/4.34 inference(scs_inference,[],[1569,272])).
% 4.29/4.34 cnf(1579,plain,
% 4.29/4.34 (P1(f9(a22,a22,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[1569,875])).
% 4.29/4.34 cnf(1582,plain,
% 4.29/4.34 (~E(f9(a22,a22,f6(a2,a22)),f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[1569,939])).
% 4.29/4.34 cnf(1584,plain,
% 4.29/4.34 (~P1(f9(a22,a22,f6(a2,a22)))+~P9(a21,a2,f9(a22,a22,f6(a2,a22)))),
% 4.29/4.34 inference(scs_inference,[],[1569,943])).
% 4.29/4.34 cnf(1589,plain,
% 4.29/4.34 (P1(f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[1569,1069])).
% 4.29/4.34 cnf(1590,plain,
% 4.29/4.34 (P9(a22,a2,f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[1569,1238])).
% 4.29/4.34 cnf(1592,plain,
% 4.29/4.34 (P9(f6(a2,a22),a2,f9(a22,f6(a2,a22),a22))),
% 4.29/4.34 inference(scs_inference,[],[1569,1361])).
% 4.29/4.34 cnf(1601,plain,
% 4.29/4.34 (~P10(f9(a22,f6(a2,a22),f6(a2,a22)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[1232,821,50,53,82])).
% 4.29/4.34 cnf(1631,plain,
% 4.29/4.34 (~E(f6(a2,f6(a2,a1)),x16311)+~P3(a1,f9(a22,f6(a2,a22),a22),a2)+P1(x16311)),
% 4.29/4.34 inference(scs_inference,[],[313,1544,1576,1601,1589,1579,1592,1564,1335,975,821,50,53,1584,444,287,81,639,74,83,37,2,31])).
% 4.29/4.34 cnf(1648,plain,
% 4.29/4.34 (P10(a1,a2,f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[313,1564,1335,823,1076,50,53,35,83])).
% 4.29/4.34 cnf(1650,plain,
% 4.29/4.34 (P10(a1,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[313,1564,1335,823,1076,50,53,35,83,151])).
% 4.29/4.34 cnf(1674,plain,
% 4.29/4.34 (P1(a12)+P3(f13(a1,a2,a21),a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[313,1582,1564,1335,823,1076,54,51,50,53,35,83,151,159,112,108,84,232,231,230,229,228,227,226,225,224,223,222,221,32,3,81,75])).
% 4.29/4.34 cnf(1691,plain,
% 4.29/4.34 (P1(a8)),
% 4.29/4.34 inference(scs_inference,[],[1650,221])).
% 4.29/4.34 cnf(1692,plain,
% 4.29/4.34 (P1(a10)),
% 4.29/4.34 inference(scs_inference,[],[1650,222])).
% 4.29/4.34 cnf(1693,plain,
% 4.29/4.34 (P1(a11)),
% 4.29/4.34 inference(scs_inference,[],[1650,223])).
% 4.29/4.34 cnf(1694,plain,
% 4.29/4.34 (P3(a8,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[1650,224])).
% 4.29/4.34 cnf(1695,plain,
% 4.29/4.34 (P3(a10,a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[1650,225])).
% 4.29/4.34 cnf(1696,plain,
% 4.29/4.34 (P9(a21,a2,a12)),
% 4.29/4.34 inference(scs_inference,[],[1650,226])).
% 4.29/4.34 cnf(1697,plain,
% 4.29/4.34 (P9(a22,a2,a12)),
% 4.29/4.34 inference(scs_inference,[],[1650,227])).
% 4.29/4.34 cnf(1698,plain,
% 4.29/4.34 (P9(a8,a2,a21)),
% 4.29/4.34 inference(scs_inference,[],[1650,228])).
% 4.29/4.34 cnf(1702,plain,
% 4.29/4.34 (P4(a12,a11,a2)),
% 4.29/4.34 inference(scs_inference,[],[1650,232])).
% 4.29/4.34 cnf(1708,plain,
% 4.29/4.34 (~P9(f9(f6(a2,a21),f6(a2,a21),f6(a2,a21)),a2,a1)),
% 4.29/4.34 inference(scs_inference,[],[1590,1522,1589,450,1309,1418,145,142,50,53,104,84,99])).
% 4.29/4.34 cnf(1739,plain,
% 4.29/4.34 (P9(a8,a2,f6(a2,a21))),
% 4.29/4.34 inference(scs_inference,[],[304,1691,1694,1698,54,51,142,50,53,111,85,99])).
% 4.29/4.34 cnf(1741,plain,
% 4.29/4.34 (P4(f6(a2,a8),a8,a2)),
% 4.29/4.34 inference(scs_inference,[],[304,1691,1694,1698,54,51,142,50,53,111,85,99,1420])).
% 4.29/4.34 cnf(1750,plain,
% 4.29/4.34 (P1(f18(a2,a1,a8,a8))),
% 4.29/4.34 inference(scs_inference,[],[304,1691,1692,1693,1694,1695,1698,1702,1424,54,51,142,50,53,111,85,99,1420,1228,77,35,112,108])).
% 4.29/4.34 cnf(1763,plain,
% 4.29/4.34 (P3(f6(a2,f6(a2,a1)),f6(a2,a21),a2)+~P10(f6(a2,a21),a2,f6(a2,f6(a2,a1)))),
% 4.29/4.34 inference(scs_inference,[],[313,304,1708,1691,1692,1693,1694,1695,1697,1698,1702,1424,198,1418,145,127,54,55,131,51,52,142,50,53,111,85,99,1420,1228,77,35,112,108,76,106,104,72,84,102])).
% 4.29/4.34 cnf(1782,plain,
% 4.29/4.34 (~P1(a12)),
% 4.29/4.34 inference(scs_inference,[],[313,1750,1696,1648,1692,1695,1697,145,55,54,50,53,1763,73,111,108,76,84])).
% 4.29/4.34 cnf(1804,plain,
% 4.29/4.34 (P3(f13(a1,a2,a21),a1,a2)),
% 4.29/4.34 inference(scs_inference,[],[309,313,1750,1739,1741,1696,1702,1648,1590,1692,1693,1695,1697,1691,145,55,54,52,142,50,53,1763,73,111,108,76,84,99,1476,1287,1062,879,650,1631,287,444,31,75,85,77,1674])).
% 4.29/4.34 cnf(1835,plain,
% 4.29/4.34 ($false),
% 4.29/4.34 inference(scs_inference,[],[1804,1782,1702,1693,53,133,75]),
% 4.29/4.34 ['proof']).
% 4.29/4.34 % SZS output end Proof
% 4.29/4.34 % Total time :3.690000s
%------------------------------------------------------------------------------