TSTP Solution File: NUM539+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM539+2 : 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 : n013.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 : Thu Aug 31 10:22:57 EDT 2023
% Result : Theorem 1.48s 1.62s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : NUM539+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.18/0.39 % Computer : n013.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Fri Aug 25 12:51:32 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.25/0.66 start to proof:theBenchmark
% 1.34/1.60 %-------------------------------------------
% 1.34/1.60 % File :CSE---1.6
% 1.34/1.60 % Problem :theBenchmark
% 1.34/1.60 % Transform :cnf
% 1.34/1.60 % Format :tptp:raw
% 1.34/1.60 % Command :java -jar mcs_scs.jar %d %s
% 1.34/1.60
% 1.34/1.60 % Result :Theorem 0.870000s
% 1.34/1.60 % Output :CNFRefutation 0.870000s
% 1.34/1.60 %-------------------------------------------
% 1.34/1.60 %------------------------------------------------------------------------------
% 1.34/1.60 % File : NUM539+2 : TPTP v8.1.2. Released v4.0.0.
% 1.34/1.60 % Domain : Number Theory
% 1.34/1.60 % Problem : Ramsey's Infinite Theorem 07, 01 expansion
% 1.34/1.60 % Version : Especial.
% 1.34/1.60 % English :
% 1.34/1.60
% 1.34/1.60 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.34/1.60 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.34/1.60 % Source : [Pas08]
% 1.34/1.60 % Names : ramsey_07.01 [Pas08]
% 1.34/1.60
% 1.34/1.60 % Status : Theorem
% 1.34/1.60 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.65 v4.0.0
% 1.34/1.60 % Syntax : Number of formulae : 51 ( 2 unt; 6 def)
% 1.34/1.60 % Number of atoms : 203 ( 28 equ)
% 1.34/1.60 % Maximal formula atoms : 12 ( 3 avg)
% 1.34/1.60 % Number of connectives : 167 ( 15 ~; 6 |; 59 &)
% 1.34/1.60 % ( 11 <=>; 76 =>; 0 <=; 0 <~>)
% 1.34/1.60 % Maximal formula depth : 12 ( 5 avg)
% 1.34/1.60 % Maximal term depth : 4 ( 1 avg)
% 1.34/1.60 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 1.34/1.60 % Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% 1.34/1.60 % Number of variables : 91 ( 86 !; 5 ?)
% 1.34/1.60 % SPC : FOF_THM_RFO_SEQ
% 1.34/1.60
% 1.34/1.60 % Comments : Problem generated by the SAD system [VLP07]
% 1.34/1.60 %------------------------------------------------------------------------------
% 1.34/1.60 fof(mSetSort,axiom,
% 1.34/1.60 ! [W0] :
% 1.34/1.60 ( aSet0(W0)
% 1.34/1.60 => $true ) ).
% 1.34/1.60
% 1.34/1.60 fof(mElmSort,axiom,
% 1.34/1.60 ! [W0] :
% 1.34/1.60 ( aElement0(W0)
% 1.34/1.60 => $true ) ).
% 1.34/1.60
% 1.34/1.60 fof(mEOfElem,axiom,
% 1.34/1.60 ! [W0] :
% 1.34/1.60 ( aSet0(W0)
% 1.34/1.60 => ! [W1] :
% 1.34/1.60 ( aElementOf0(W1,W0)
% 1.34/1.61 => aElement0(W1) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mFinRel,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aSet0(W0)
% 1.34/1.61 => ( isFinite0(W0)
% 1.34/1.61 => $true ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mDefEmp,definition,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( W0 = slcrc0
% 1.34/1.61 <=> ( aSet0(W0)
% 1.34/1.61 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mEmpFin,axiom,
% 1.34/1.61 isFinite0(slcrc0) ).
% 1.34/1.61
% 1.34/1.61 fof(mCntRel,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aSet0(W0)
% 1.34/1.61 => ( isCountable0(W0)
% 1.34/1.61 => $true ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mCountNFin,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & isCountable0(W0) )
% 1.34/1.61 => ~ isFinite0(W0) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mCountNFin_01,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & isCountable0(W0) )
% 1.34/1.61 => W0 != slcrc0 ) ).
% 1.34/1.61
% 1.34/1.61 fof(mDefSub,definition,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aSet0(W0)
% 1.34/1.61 => ! [W1] :
% 1.34/1.61 ( aSubsetOf0(W1,W0)
% 1.34/1.61 <=> ( aSet0(W1)
% 1.34/1.61 & ! [W2] :
% 1.34/1.61 ( aElementOf0(W2,W1)
% 1.34/1.61 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mSubFSet,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & isFinite0(W0) )
% 1.34/1.61 => ! [W1] :
% 1.34/1.61 ( aSubsetOf0(W1,W0)
% 1.34/1.61 => isFinite0(W1) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mSubRefl,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aSet0(W0)
% 1.34/1.61 => aSubsetOf0(W0,W0) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mSubASymm,axiom,
% 1.34/1.61 ! [W0,W1] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & aSet0(W1) )
% 1.34/1.61 => ( ( aSubsetOf0(W0,W1)
% 1.34/1.61 & aSubsetOf0(W1,W0) )
% 1.34/1.61 => W0 = W1 ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mSubTrans,axiom,
% 1.34/1.61 ! [W0,W1,W2] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & aSet0(W1)
% 1.34/1.61 & aSet0(W2) )
% 1.34/1.61 => ( ( aSubsetOf0(W0,W1)
% 1.34/1.61 & aSubsetOf0(W1,W2) )
% 1.34/1.61 => aSubsetOf0(W0,W2) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mDefCons,definition,
% 1.34/1.61 ! [W0,W1] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & aElement0(W1) )
% 1.34/1.61 => ! [W2] :
% 1.34/1.61 ( W2 = sdtpldt0(W0,W1)
% 1.34/1.61 <=> ( aSet0(W2)
% 1.34/1.61 & ! [W3] :
% 1.34/1.61 ( aElementOf0(W3,W2)
% 1.34/1.61 <=> ( aElement0(W3)
% 1.34/1.61 & ( aElementOf0(W3,W0)
% 1.34/1.61 | W3 = W1 ) ) ) ) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mDefDiff,definition,
% 1.34/1.61 ! [W0,W1] :
% 1.34/1.61 ( ( aSet0(W0)
% 1.34/1.61 & aElement0(W1) )
% 1.34/1.61 => ! [W2] :
% 1.34/1.61 ( W2 = sdtmndt0(W0,W1)
% 1.34/1.61 <=> ( aSet0(W2)
% 1.34/1.61 & ! [W3] :
% 1.34/1.61 ( aElementOf0(W3,W2)
% 1.34/1.61 <=> ( aElement0(W3)
% 1.34/1.61 & aElementOf0(W3,W0)
% 1.34/1.61 & W3 != W1 ) ) ) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mConsDiff,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aSet0(W0)
% 1.34/1.61 => ! [W1] :
% 1.34/1.61 ( aElementOf0(W1,W0)
% 1.34/1.61 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mDiffCons,axiom,
% 1.34/1.61 ! [W0,W1] :
% 1.34/1.61 ( ( aElement0(W0)
% 1.34/1.61 & aSet0(W1) )
% 1.34/1.61 => ( ~ aElementOf0(W0,W1)
% 1.34/1.61 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mCConsSet,axiom,
% 1.34/1.61 ! [W0] :
% 1.34/1.61 ( aElement0(W0)
% 1.34/1.61 => ! [W1] :
% 1.34/1.61 ( ( aSet0(W1)
% 1.34/1.61 & isCountable0(W1) )
% 1.34/1.61 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.34/1.61
% 1.34/1.61 fof(mCDiffSet,axiom,
% 1.34/1.61 ! [W0] :
% 1.48/1.61 ( aElement0(W0)
% 1.48/1.61 => ! [W1] :
% 1.48/1.61 ( ( aSet0(W1)
% 1.48/1.61 & isCountable0(W1) )
% 1.48/1.61 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mFConsSet,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElement0(W0)
% 1.48/1.61 => ! [W1] :
% 1.48/1.61 ( ( aSet0(W1)
% 1.48/1.61 & isFinite0(W1) )
% 1.48/1.61 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mFDiffSet,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElement0(W0)
% 1.48/1.61 => ! [W1] :
% 1.48/1.61 ( ( aSet0(W1)
% 1.48/1.61 & isFinite0(W1) )
% 1.48/1.61 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mNATSet,axiom,
% 1.48/1.61 ( aSet0(szNzAzT0)
% 1.48/1.61 & isCountable0(szNzAzT0) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mZeroNum,axiom,
% 1.48/1.61 aElementOf0(sz00,szNzAzT0) ).
% 1.48/1.61
% 1.48/1.61 fof(mSuccNum,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.48/1.61 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mSuccEquSucc,axiom,
% 1.48/1.61 ! [W0,W1] :
% 1.48/1.61 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.61 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.48/1.61 => W0 = W1 ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mNatExtra,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 => ( W0 = sz00
% 1.48/1.61 | ? [W1] :
% 1.48/1.61 ( aElementOf0(W1,szNzAzT0)
% 1.48/1.61 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mNatNSucc,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 => W0 != szszuzczcdt0(W0) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mLessRel,axiom,
% 1.48/1.61 ! [W0,W1] :
% 1.48/1.61 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.61 => ( sdtlseqdt0(W0,W1)
% 1.48/1.61 => $true ) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mZeroLess,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 => sdtlseqdt0(sz00,W0) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mNoScLessZr,axiom,
% 1.48/1.61 ! [W0] :
% 1.48/1.61 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.48/1.61
% 1.48/1.61 fof(mSuccLess,axiom,
% 1.48/1.61 ! [W0,W1] :
% 1.48/1.61 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.61 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.61 => ( sdtlseqdt0(W0,W1)
% 1.48/1.62 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mLessSucc,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mLessRefl,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 => sdtlseqdt0(W0,W0) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mLessASymm,axiom,
% 1.48/1.62 ! [W0,W1] :
% 1.48/1.62 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.62 => ( ( sdtlseqdt0(W0,W1)
% 1.48/1.62 & sdtlseqdt0(W1,W0) )
% 1.48/1.62 => W0 = W1 ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mLessTrans,axiom,
% 1.48/1.62 ! [W0,W1,W2] :
% 1.48/1.62 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 & aElementOf0(W1,szNzAzT0)
% 1.48/1.62 & aElementOf0(W2,szNzAzT0) )
% 1.48/1.62 => ( ( sdtlseqdt0(W0,W1)
% 1.48/1.62 & sdtlseqdt0(W1,W2) )
% 1.48/1.62 => sdtlseqdt0(W0,W2) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mLessTotal,axiom,
% 1.48/1.62 ! [W0,W1] :
% 1.48/1.62 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.62 => ( sdtlseqdt0(W0,W1)
% 1.48/1.62 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mIHSort,axiom,
% 1.48/1.62 ! [W0,W1] :
% 1.48/1.62 ( ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.62 => ( iLess0(W0,W1)
% 1.48/1.62 => $true ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mIH,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,szNzAzT0)
% 1.48/1.62 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardS,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aSet0(W0)
% 1.48/1.62 => aElement0(sbrdtbr0(W0)) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardNum,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aSet0(W0)
% 1.48/1.62 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.48/1.62 <=> isFinite0(W0) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardEmpty,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aSet0(W0)
% 1.48/1.62 => ( sbrdtbr0(W0) = sz00
% 1.48/1.62 <=> W0 = slcrc0 ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardCons,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( ( aSet0(W0)
% 1.48/1.62 & isFinite0(W0) )
% 1.48/1.62 => ! [W1] :
% 1.48/1.62 ( aElement0(W1)
% 1.48/1.62 => ( ~ aElementOf0(W1,W0)
% 1.48/1.62 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardDiff,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aSet0(W0)
% 1.48/1.62 => ! [W1] :
% 1.48/1.62 ( ( isFinite0(W0)
% 1.48/1.62 & aElementOf0(W1,W0) )
% 1.48/1.62 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardSub,axiom,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( aSet0(W0)
% 1.48/1.62 => ! [W1] :
% 1.48/1.62 ( ( isFinite0(W0)
% 1.48/1.62 & aSubsetOf0(W1,W0) )
% 1.48/1.62 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mCardSubEx,axiom,
% 1.48/1.62 ! [W0,W1] :
% 1.48/1.62 ( ( aSet0(W0)
% 1.48/1.62 & aElementOf0(W1,szNzAzT0) )
% 1.48/1.62 => ( ( isFinite0(W0)
% 1.48/1.62 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.48/1.62 => ? [W2] :
% 1.48/1.62 ( aSubsetOf0(W2,W0)
% 1.48/1.62 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mDefMin,definition,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.48/1.62 & W0 != slcrc0 )
% 1.48/1.62 => ! [W1] :
% 1.48/1.62 ( W1 = szmzizndt0(W0)
% 1.48/1.62 <=> ( aElementOf0(W1,W0)
% 1.48/1.62 & ! [W2] :
% 1.48/1.62 ( aElementOf0(W2,W0)
% 1.48/1.62 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(mDefMax,definition,
% 1.48/1.62 ! [W0] :
% 1.48/1.62 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.48/1.62 & isFinite0(W0)
% 1.48/1.62 & W0 != slcrc0 )
% 1.48/1.62 => ! [W1] :
% 1.48/1.62 ( W1 = szmzazxdt0(W0)
% 1.48/1.62 <=> ( aElementOf0(W1,W0)
% 1.48/1.62 & ! [W2] :
% 1.48/1.62 ( aElementOf0(W2,W0)
% 1.48/1.62 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(m__1779,hypothesis,
% 1.48/1.62 ( aSet0(xS)
% 1.48/1.62 & ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xS)
% 1.48/1.62 => aElementOf0(W0,szNzAzT0) )
% 1.48/1.62 & aSubsetOf0(xS,szNzAzT0)
% 1.48/1.62 & aSet0(xT)
% 1.48/1.62 & ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xT)
% 1.48/1.62 => aElementOf0(W0,szNzAzT0) )
% 1.48/1.62 & aSubsetOf0(xT,szNzAzT0)
% 1.48/1.62 & ~ ( ~ ? [W0] : aElementOf0(W0,xS)
% 1.48/1.62 | xS = slcrc0 )
% 1.48/1.62 & ~ ( ~ ? [W0] : aElementOf0(W0,xT)
% 1.48/1.62 | xT = slcrc0 ) ) ).
% 1.48/1.62
% 1.48/1.62 fof(m__1802,hypothesis,
% 1.48/1.62 ( aElementOf0(szmzizndt0(xS),xS)
% 1.48/1.62 & ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xS)
% 1.48/1.62 => sdtlseqdt0(szmzizndt0(xS),W0) )
% 1.48/1.62 & aElementOf0(szmzizndt0(xS),xT)
% 1.48/1.62 & aElementOf0(szmzizndt0(xT),xT)
% 1.48/1.62 & ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xT)
% 1.48/1.62 => sdtlseqdt0(szmzizndt0(xT),W0) )
% 1.48/1.62 & aElementOf0(szmzizndt0(xT),xS) ) ).
% 1.48/1.62
% 1.48/1.62 fof(m__,conjecture,
% 1.48/1.62 ( ( aElementOf0(szmzizndt0(xS),xS)
% 1.48/1.62 & ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xS)
% 1.48/1.62 => sdtlseqdt0(szmzizndt0(xS),W0) ) )
% 1.48/1.62 => ( ! [W0] :
% 1.48/1.62 ( aElementOf0(W0,xT)
% 1.48/1.62 => sdtlseqdt0(szmzizndt0(xS),W0) )
% 1.48/1.62 | szmzizndt0(xS) = szmzizndt0(xT) ) ) ).
% 1.48/1.62
% 1.48/1.62 %------------------------------------------------------------------------------
% 1.48/1.62 %-------------------------------------------
% 1.48/1.62 % Proof found
% 1.48/1.62 % SZS status Theorem for theBenchmark
% 1.48/1.62 % SZS output start Proof
% 1.48/1.62 %ClaNum:136(EqnAxiom:39)
% 1.48/1.62 %VarNum:515(SingletonVarNum:159)
% 1.48/1.62 %MaxLitNum:8
% 1.48/1.62 %MaxfuncDepth:3
% 1.48/1.62 %SharedTerms:29
% 1.48/1.62 %goalClause: 48 52 58 59 80
% 1.48/1.62 %singleGoalClaCount:4
% 1.48/1.62 [40]P1(a1)
% 1.48/1.62 [41]P1(a18)
% 1.48/1.62 [42]P1(a22)
% 1.48/1.62 [43]P4(a2)
% 1.48/1.62 [44]P5(a1)
% 1.48/1.62 [45]P2(a17,a1)
% 1.48/1.62 [46]P2(a3,a18)
% 1.48/1.62 [47]P2(a4,a22)
% 1.48/1.62 [48]P2(a5,a22)
% 1.48/1.62 [49]P6(a18,a1)
% 1.48/1.62 [50]P6(a22,a1)
% 1.48/1.62 [56]~E(a2,a18)
% 1.48/1.62 [57]~E(a2,a22)
% 1.48/1.62 [52]P2(f19(a18),a18)
% 1.48/1.62 [53]P2(f19(a18),a22)
% 1.48/1.62 [54]P2(f19(a22),a18)
% 1.48/1.62 [55]P2(f19(a22),a22)
% 1.48/1.62 [58]~E(f19(a22),f19(a18))
% 1.48/1.62 [59]~P8(f19(a18),a5)
% 1.48/1.62 [60]P1(x601)+~E(x601,a2)
% 1.48/1.62 [66]~P1(x661)+P6(x661,x661)
% 1.48/1.62 [71]~P2(x711,a18)+P2(x711,a1)
% 1.48/1.62 [72]~P2(x721,a22)+P2(x721,a1)
% 1.48/1.62 [73]~P2(x731,a1)+P8(a17,x731)
% 1.48/1.62 [78]P8(x781,x781)+~P2(x781,a1)
% 1.48/1.62 [64]~P1(x641)+P3(f14(x641))
% 1.48/1.62 [68]~P2(x681,a1)+~E(f21(x681),a17)
% 1.48/1.62 [69]~P2(x691,a1)+~E(f21(x691),x691)
% 1.48/1.62 [80]~P2(x801,a18)+P8(f19(a18),x801)
% 1.48/1.62 [81]~P2(x811,a22)+P8(f19(a22),x811)
% 1.48/1.62 [82]~P2(x821,a1)+P2(f21(x821),a1)
% 1.48/1.62 [83]~P2(x831,a1)+P8(x831,f21(x831))
% 1.48/1.62 [84]~P2(x841,a1)+P7(x841,f21(x841))
% 1.48/1.62 [91]~P2(x911,a1)+~P8(f21(x911),a17)
% 1.48/1.62 [67]~P2(x672,x671)+~E(x671,a2)
% 1.48/1.62 [63]~P1(x631)+~P5(x631)+~E(x631,a2)
% 1.48/1.62 [65]~P4(x651)+~P5(x651)+~P1(x651)
% 1.48/1.62 [61]~P1(x611)+~E(x611,a2)+E(f14(x611),a17)
% 1.48/1.62 [62]~P1(x621)+E(x621,a2)+~E(f14(x621),a17)
% 1.48/1.62 [70]~P1(x701)+P2(f6(x701),x701)+E(x701,a2)
% 1.48/1.62 [75]~P1(x751)+~P4(x751)+P2(f14(x751),a1)
% 1.48/1.62 [85]~P2(x851,a1)+E(x851,a17)+P2(f7(x851),a1)
% 1.48/1.62 [86]~P1(x861)+P4(x861)+~P2(f14(x861),a1)
% 1.48/1.62 [74]~P2(x741,a1)+E(x741,a17)+E(f21(f7(x741)),x741)
% 1.48/1.62 [76]~P6(x761,x762)+P1(x761)+~P1(x762)
% 1.48/1.62 [77]~P2(x771,x772)+P3(x771)+~P1(x772)
% 1.48/1.62 [108]~P1(x1081)+~P2(x1082,x1081)+E(f15(f16(x1081,x1082),x1082),x1081)
% 1.48/1.62 [87]~P4(x872)+~P6(x871,x872)+P4(x871)+~P1(x872)
% 1.48/1.62 [90]P2(x902,x901)+~E(x902,f19(x901))+~P6(x901,a1)+E(x901,a2)
% 1.48/1.62 [93]~P1(x931)+~P3(x932)+~P4(x931)+P4(f15(x931,x932))
% 1.48/1.62 [94]~P1(x941)+~P3(x942)+~P4(x941)+P4(f16(x941,x942))
% 1.48/1.62 [95]~P1(x951)+~P3(x952)+~P5(x951)+P5(f15(x951,x952))
% 1.48/1.62 [96]~P1(x961)+~P3(x962)+~P5(x961)+P5(f16(x961,x962))
% 1.48/1.62 [97]E(x971,x972)+~E(f21(x971),f21(x972))+~P2(x972,a1)+~P2(x971,a1)
% 1.48/1.62 [100]~P1(x1002)+~P4(x1002)+~P6(x1001,x1002)+P8(f14(x1001),f14(x1002))
% 1.48/1.62 [106]~P1(x1061)+~P1(x1062)+P6(x1061,x1062)+P2(f8(x1062,x1061),x1061)
% 1.48/1.62 [111]P8(x1111,x1112)+P8(f21(x1112),x1111)+~P2(x1112,a1)+~P2(x1111,a1)
% 1.48/1.62 [118]~P8(x1181,x1182)+~P2(x1182,a1)+~P2(x1181,a1)+P8(f21(x1181),f21(x1182))
% 1.48/1.62 [120]~P1(x1201)+~P1(x1202)+P6(x1201,x1202)+~P2(f8(x1202,x1201),x1202)
% 1.48/1.62 [121]P8(x1211,x1212)+~P2(x1212,a1)+~P2(x1211,a1)+~P8(f21(x1211),f21(x1212))
% 1.48/1.62 [107]P2(x1072,x1071)+~P1(x1071)+~P3(x1072)+E(f16(f15(x1071,x1072),x1072),x1071)
% 1.48/1.62 [124]~P1(x1241)+~P4(x1241)+~P2(x1242,x1241)+E(f21(f14(f16(x1241,x1242))),f14(x1241))
% 1.48/1.62 [104]~P1(x1042)+~P6(x1043,x1042)+P2(x1041,x1042)+~P2(x1041,x1043)
% 1.48/1.62 [88]~P1(x882)+~P3(x883)+P1(x881)+~E(x881,f15(x882,x883))
% 1.48/1.62 [89]~P1(x892)+~P3(x893)+P1(x891)+~E(x891,f16(x892,x893))
% 1.48/1.62 [98]~P1(x982)+~P1(x981)+~P6(x982,x981)+~P6(x981,x982)+E(x981,x982)
% 1.48/1.62 [117]~P8(x1172,x1171)+~P8(x1171,x1172)+E(x1171,x1172)+~P2(x1172,a1)+~P2(x1171,a1)
% 1.48/1.62 [92]~P4(x921)+P2(x922,x921)+~E(x922,f20(x921))+~P6(x921,a1)+E(x921,a2)
% 1.48/1.62 [119]~P2(x1192,x1191)+P2(f11(x1191,x1192),x1191)+~P6(x1191,a1)+E(x1191,a2)+E(x1192,f19(x1191))
% 1.48/1.62 [125]~P1(x1251)+~P4(x1251)+~P2(x1252,a1)+~P8(x1252,f14(x1251))+P6(f12(x1251,x1252),x1251)
% 1.48/1.62 [126]~P2(x1262,x1261)+~P6(x1261,a1)+~P8(x1262,f11(x1261,x1262))+E(x1261,a2)+E(x1262,f19(x1261))
% 1.48/1.62 [112]P2(x1122,x1121)+~P1(x1121)+~P3(x1122)+~P4(x1121)+E(f14(f15(x1121,x1122)),f21(f14(x1121)))
% 1.48/1.62 [123]~P1(x1231)+~P4(x1231)+~P2(x1232,a1)+~P8(x1232,f14(x1231))+E(f14(f12(x1231,x1232)),x1232)
% 1.48/1.62 [105]~P2(x1053,x1051)+P8(x1052,x1053)+~E(x1052,f19(x1051))+~P6(x1051,a1)+E(x1051,a2)
% 1.48/1.62 [101]~P1(x1014)+~P3(x1012)+~P2(x1011,x1013)+~E(x1011,x1012)+~E(x1013,f16(x1014,x1012))
% 1.48/1.62 [102]~P1(x1023)+~P3(x1024)+~P2(x1021,x1022)+P3(x1021)+~E(x1022,f15(x1023,x1024))
% 1.48/1.62 [103]~P1(x1033)+~P3(x1034)+~P2(x1031,x1032)+P3(x1031)+~E(x1032,f16(x1033,x1034))
% 1.48/1.62 [110]~P1(x1102)+~P3(x1104)+~P2(x1101,x1103)+P2(x1101,x1102)+~E(x1103,f16(x1102,x1104))
% 1.48/1.62 [122]~P4(x1221)+~P2(x1222,x1221)+P2(f13(x1221,x1222),x1221)+~P6(x1221,a1)+E(x1221,a2)+E(x1222,f20(x1221))
% 1.48/1.62 [127]~P4(x1271)+~P2(x1272,x1271)+~P6(x1271,a1)+~P8(f13(x1271,x1272),x1272)+E(x1271,a2)+E(x1272,f20(x1271))
% 1.48/1.62 [114]~P1(x1142)+~P1(x1141)+~P6(x1143,x1142)+~P6(x1141,x1143)+P6(x1141,x1142)+~P1(x1143)
% 1.48/1.62 [128]~P8(x1281,x1283)+P8(x1281,x1282)+~P8(x1283,x1282)+~P2(x1282,a1)+~P2(x1283,a1)+~P2(x1281,a1)
% 1.48/1.62 [109]~P4(x1091)+~P2(x1092,x1091)+P8(x1092,x1093)+~E(x1093,f20(x1091))+~P6(x1091,a1)+E(x1091,a2)
% 1.48/1.62 [129]~P1(x1291)+~P1(x1292)+~P3(x1293)+P2(f9(x1292,x1293,x1291),x1291)+~E(f9(x1292,x1293,x1291),x1293)+E(x1291,f16(x1292,x1293))
% 1.48/1.62 [130]~P1(x1301)+~P1(x1302)+~P3(x1303)+P2(f10(x1302,x1303,x1301),x1301)+E(x1301,f15(x1302,x1303))+P3(f10(x1302,x1303,x1301))
% 1.48/1.62 [131]~P1(x1311)+~P1(x1312)+~P3(x1313)+P2(f9(x1312,x1313,x1311),x1311)+E(x1311,f16(x1312,x1313))+P3(f9(x1312,x1313,x1311))
% 1.48/1.62 [132]~P1(x1321)+~P1(x1322)+~P3(x1323)+P2(f9(x1322,x1323,x1321),x1321)+P2(f9(x1322,x1323,x1321),x1322)+E(x1321,f16(x1322,x1323))
% 1.48/1.62 [99]~P1(x994)+~P3(x993)+~P3(x991)+P2(x991,x992)+~E(x991,x993)+~E(x992,f15(x994,x993))
% 1.48/1.62 [113]~P1(x1133)+~P3(x1132)+~P2(x1131,x1134)+E(x1131,x1132)+P2(x1131,x1133)+~E(x1134,f15(x1133,x1132))
% 1.48/1.62 [115]~P1(x1153)+~P3(x1154)+~P3(x1151)+~P2(x1151,x1153)+P2(x1151,x1152)+~E(x1152,f15(x1153,x1154))
% 1.48/1.62 [133]~P1(x1331)+~P1(x1332)+~P3(x1333)+E(f10(x1332,x1333,x1331),x1333)+P2(f10(x1332,x1333,x1331),x1331)+P2(f10(x1332,x1333,x1331),x1332)+E(x1331,f15(x1332,x1333))
% 1.48/1.62 [134]~P1(x1341)+~P1(x1342)+~P3(x1343)+~E(f10(x1342,x1343,x1341),x1343)+~P2(f10(x1342,x1343,x1341),x1341)+E(x1341,f15(x1342,x1343))+~P3(f10(x1342,x1343,x1341))
% 1.48/1.62 [135]~P1(x1351)+~P1(x1352)+~P3(x1353)+~P2(f10(x1352,x1353,x1351),x1351)+~P2(f10(x1352,x1353,x1351),x1352)+E(x1351,f15(x1352,x1353))+~P3(f10(x1352,x1353,x1351))
% 1.48/1.62 [116]~P1(x1164)+~P3(x1162)+~P3(x1161)+~P2(x1161,x1164)+E(x1161,x1162)+P2(x1161,x1163)+~E(x1163,f16(x1164,x1162))
% 1.48/1.62 [136]~P1(x1361)+~P1(x1362)+~P3(x1363)+E(f9(x1362,x1363,x1361),x1363)+~P2(f9(x1362,x1363,x1361),x1361)+~P2(f9(x1362,x1363,x1361),x1362)+E(x1361,f16(x1362,x1363))+~P3(f9(x1362,x1363,x1361))
% 1.48/1.62 %EqnAxiom
% 1.48/1.62 [1]E(x11,x11)
% 1.48/1.62 [2]E(x22,x21)+~E(x21,x22)
% 1.48/1.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.48/1.62 [4]~E(x41,x42)+E(f19(x41),f19(x42))
% 1.48/1.62 [5]~E(x51,x52)+E(f9(x51,x53,x54),f9(x52,x53,x54))
% 1.48/1.62 [6]~E(x61,x62)+E(f9(x63,x61,x64),f9(x63,x62,x64))
% 1.48/1.62 [7]~E(x71,x72)+E(f9(x73,x74,x71),f9(x73,x74,x72))
% 1.48/1.62 [8]~E(x81,x82)+E(f10(x81,x83,x84),f10(x82,x83,x84))
% 1.48/1.62 [9]~E(x91,x92)+E(f10(x93,x91,x94),f10(x93,x92,x94))
% 1.48/1.62 [10]~E(x101,x102)+E(f10(x103,x104,x101),f10(x103,x104,x102))
% 1.48/1.62 [11]~E(x111,x112)+E(f15(x111,x113),f15(x112,x113))
% 1.48/1.62 [12]~E(x121,x122)+E(f15(x123,x121),f15(x123,x122))
% 1.48/1.62 [13]~E(x131,x132)+E(f14(x131),f14(x132))
% 1.48/1.62 [14]~E(x141,x142)+E(f16(x141,x143),f16(x142,x143))
% 1.48/1.62 [15]~E(x151,x152)+E(f16(x153,x151),f16(x153,x152))
% 1.48/1.62 [16]~E(x161,x162)+E(f20(x161),f20(x162))
% 1.48/1.62 [17]~E(x171,x172)+E(f12(x171,x173),f12(x172,x173))
% 1.48/1.62 [18]~E(x181,x182)+E(f12(x183,x181),f12(x183,x182))
% 1.48/1.62 [19]~E(x191,x192)+E(f8(x191,x193),f8(x192,x193))
% 1.48/1.62 [20]~E(x201,x202)+E(f8(x203,x201),f8(x203,x202))
% 1.48/1.62 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 1.48/1.62 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 1.48/1.62 [23]~E(x231,x232)+E(f21(x231),f21(x232))
% 1.48/1.62 [24]~E(x241,x242)+E(f13(x241,x243),f13(x242,x243))
% 1.48/1.62 [25]~E(x251,x252)+E(f13(x253,x251),f13(x253,x252))
% 1.48/1.62 [26]~E(x261,x262)+E(f7(x261),f7(x262))
% 1.48/1.62 [27]~E(x271,x272)+E(f6(x271),f6(x272))
% 1.48/1.62 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 1.48/1.62 [29]P2(x292,x293)+~E(x291,x292)+~P2(x291,x293)
% 1.48/1.62 [30]P2(x303,x302)+~E(x301,x302)+~P2(x303,x301)
% 1.48/1.62 [31]~P4(x311)+P4(x312)+~E(x311,x312)
% 1.48/1.62 [32]P8(x322,x323)+~E(x321,x322)+~P8(x321,x323)
% 1.48/1.62 [33]P8(x333,x332)+~E(x331,x332)+~P8(x333,x331)
% 1.48/1.62 [34]~P5(x341)+P5(x342)+~E(x341,x342)
% 1.48/1.62 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 1.48/1.62 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 1.48/1.62 [37]~P3(x371)+P3(x372)+~E(x371,x372)
% 1.48/1.62 [38]P7(x382,x383)+~E(x381,x382)+~P7(x381,x383)
% 1.48/1.62 [39]P7(x393,x392)+~E(x391,x392)+~P7(x393,x391)
% 1.48/1.62
% 1.48/1.62 %-------------------------------------------
% 1.61/1.63 cnf(137,plain,
% 1.61/1.63 (P8(a17,a17)),
% 1.61/1.63 inference(scs_inference,[],[45,78])).
% 1.61/1.63 cnf(138,plain,
% 1.61/1.63 (~P2(a5,a18)),
% 1.61/1.63 inference(scs_inference,[],[45,59,78,80])).
% 1.61/1.63 cnf(140,plain,
% 1.61/1.63 (~E(a3,a5)),
% 1.61/1.63 inference(scs_inference,[],[45,46,59,58,78,80,4,29])).
% 1.61/1.63 cnf(141,plain,
% 1.61/1.63 (~P4(a1)),
% 1.61/1.63 inference(scs_inference,[],[40,44,45,46,59,58,78,80,4,29,65])).
% 1.61/1.63 cnf(143,plain,
% 1.61/1.63 (P2(a5,a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,50,59,58,78,80,4,29,65,104])).
% 1.61/1.63 cnf(145,plain,
% 1.61/1.63 (P8(f21(a17),f21(a17))),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,50,59,58,78,80,4,29,65,104,118])).
% 1.61/1.63 cnf(147,plain,
% 1.61/1.63 (~E(a18,a2)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,50,56,59,58,78,80,4,29,65,104,118,2])).
% 1.61/1.63 cnf(148,plain,
% 1.61/1.63 (P8(a17,a5)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,50,56,59,58,78,80,4,29,65,104,118,2,73])).
% 1.61/1.63 cnf(152,plain,
% 1.61/1.63 (P2(a3,a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71])).
% 1.61/1.63 cnf(154,plain,
% 1.61/1.63 (~E(a22,a2)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67])).
% 1.61/1.63 cnf(156,plain,
% 1.61/1.63 (P6(a1,a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66])).
% 1.61/1.63 cnf(158,plain,
% 1.61/1.63 (P8(f19(a22),a5)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81])).
% 1.61/1.63 cnf(160,plain,
% 1.61/1.63 (~P8(f21(a17),a17)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91])).
% 1.61/1.63 cnf(162,plain,
% 1.61/1.63 (P7(a17,f21(a17))),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84])).
% 1.61/1.63 cnf(166,plain,
% 1.61/1.63 (P2(f21(a17),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82])).
% 1.61/1.63 cnf(168,plain,
% 1.61/1.63 (~E(f21(a17),a17)),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69])).
% 1.61/1.63 cnf(172,plain,
% 1.61/1.63 (P3(f14(a1))),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64])).
% 1.61/1.63 cnf(175,plain,
% 1.61/1.63 (~E(a17,f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[48,40,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32])).
% 1.61/1.63 cnf(177,plain,
% 1.61/1.63 (P3(a17)),
% 1.61/1.63 inference(scs_inference,[],[48,40,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77])).
% 1.61/1.63 cnf(179,plain,
% 1.61/1.63 (~E(a1,a2)),
% 1.61/1.63 inference(scs_inference,[],[48,40,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63])).
% 1.61/1.63 cnf(181,plain,
% 1.61/1.63 (~P2(f14(a1),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86])).
% 1.61/1.63 cnf(183,plain,
% 1.61/1.63 (P2(f7(f21(a17)),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85])).
% 1.61/1.63 cnf(185,plain,
% 1.61/1.63 (E(f21(f7(f21(a17))),f21(a17))),
% 1.61/1.63 inference(scs_inference,[],[48,40,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74])).
% 1.61/1.63 cnf(187,plain,
% 1.61/1.63 (P2(f6(a18),a18)),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70])).
% 1.61/1.63 cnf(191,plain,
% 1.61/1.63 (E(f15(f16(a1,a17),a17),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108])).
% 1.61/1.63 cnf(193,plain,
% 1.61/1.63 (P5(f16(a1,f14(a1)))),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108,96])).
% 1.61/1.63 cnf(199,plain,
% 1.61/1.63 (~E(a5,f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,49,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108,96,95,121,90])).
% 1.61/1.63 cnf(201,plain,
% 1.61/1.63 (E(f16(f15(a1,f14(a1)),f14(a1)),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,49,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108,96,95,121,90,107])).
% 1.61/1.63 cnf(205,plain,
% 1.61/1.63 (~E(f19(a18),f19(a22))),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,49,50,56,59,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108,96,95,121,90,107,110,105])).
% 1.61/1.63 cnf(207,plain,
% 1.61/1.63 (P2(f11(a18,f19(a22)),a18)),
% 1.61/1.63 inference(scs_inference,[],[48,40,41,43,44,45,46,47,49,50,56,59,54,58,78,80,4,29,65,104,118,2,73,72,71,67,66,81,91,84,83,82,69,68,64,37,32,31,77,63,86,85,74,70,62,108,96,95,121,90,107,110,105,119])).
% 1.61/1.63 cnf(242,plain,
% 1.61/1.63 (E(f16(f16(f15(a1,f14(a1)),f14(a1)),x2421),f16(a1,x2421))),
% 1.61/1.63 inference(scs_inference,[],[201,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 1.61/1.63 cnf(243,plain,
% 1.61/1.63 (E(f14(f16(f15(a1,f14(a1)),f14(a1))),f14(a1))),
% 1.61/1.63 inference(scs_inference,[],[201,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 1.61/1.63 cnf(245,plain,
% 1.61/1.63 (E(f15(f16(f15(a1,f14(a1)),f14(a1)),x2451),f15(a1,x2451))),
% 1.61/1.63 inference(scs_inference,[],[201,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.61/1.63 cnf(256,plain,
% 1.61/1.63 (~P2(f11(a18,f19(a22)),a22)),
% 1.61/1.63 inference(scs_inference,[],[54,58,49,45,168,147,201,166,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81])).
% 1.61/1.63 cnf(258,plain,
% 1.61/1.63 (P3(a5)),
% 1.61/1.63 inference(scs_inference,[],[48,54,42,58,49,45,168,147,201,166,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77])).
% 1.61/1.63 cnf(260,plain,
% 1.61/1.63 (~E(f11(a18,f19(a22)),f19(a22))),
% 1.61/1.63 inference(scs_inference,[],[48,54,42,58,49,50,45,168,147,154,201,166,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90])).
% 1.61/1.63 cnf(262,plain,
% 1.61/1.63 (E(f16(f15(a18,a5),a5),a18)),
% 1.61/1.63 inference(scs_inference,[],[48,54,42,58,49,50,41,45,168,147,154,201,166,138,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107])).
% 1.61/1.63 cnf(264,plain,
% 1.61/1.63 (P8(f19(a18),f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,138,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80])).
% 1.61/1.63 cnf(266,plain,
% 1.61/1.63 (~P2(f14(a1),a18)),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71])).
% 1.61/1.63 cnf(268,plain,
% 1.61/1.63 (E(f19(f16(f15(a1,f14(a1)),f14(a1))),f19(a1))),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4])).
% 1.61/1.63 cnf(269,plain,
% 1.61/1.63 (~P4(f16(f15(a1,f14(a1)),f14(a1)))),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,141,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31])).
% 1.61/1.63 cnf(270,plain,
% 1.61/1.63 (~P2(f14(f16(f15(a1,f14(a1)),f14(a1))),a1)),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,141,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29])).
% 1.61/1.63 cnf(271,plain,
% 1.61/1.63 (P2(f6(a22),a22)),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,141,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70])).
% 1.61/1.63 cnf(275,plain,
% 1.61/1.63 (E(f15(f16(a22,a5),a5),a22)),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,201,166,181,138,141,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108])).
% 1.61/1.63 cnf(279,plain,
% 1.61/1.63 (~E(f21(a17),f19(a1))),
% 1.61/1.63 inference(scs_inference,[],[48,52,54,42,58,49,50,41,45,168,147,154,179,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105])).
% 1.61/1.63 cnf(281,plain,
% 1.61/1.63 (P2(f11(a22,f19(a18)),a22)),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,41,45,168,147,154,179,205,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119])).
% 1.61/1.63 cnf(283,plain,
% 1.61/1.63 (~P2(f14(a1),a22)),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,41,45,168,147,154,179,205,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72])).
% 1.61/1.63 cnf(286,plain,
% 1.61/1.63 (E(f21(a17),f21(f7(f21(a17))))),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,41,45,168,143,185,147,154,179,205,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2])).
% 1.61/1.63 cnf(288,plain,
% 1.61/1.63 (~P8(f21(f7(f21(a17))),a17)),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,41,45,168,143,185,158,147,154,179,205,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2,33,32])).
% 1.61/1.63 cnf(289,plain,
% 1.61/1.63 (~E(f21(f21(a17)),f21(f7(f21(a17))))),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,41,45,168,143,185,158,147,154,179,205,201,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2,33,32,3])).
% 1.61/1.63 cnf(297,plain,
% 1.61/1.63 (P1(f16(f16(f15(a1,f14(a1)),f14(a1)),f14(a1)))),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,44,41,45,40,168,143,185,158,147,154,172,179,205,201,183,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2,33,32,3,34,120,106,111,89])).
% 1.61/1.63 cnf(299,plain,
% 1.61/1.63 (P1(f15(f16(f15(a1,f14(a1)),f14(a1)),f14(a1)))),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,44,41,45,40,168,143,185,158,147,154,172,179,205,201,183,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2,33,32,3,34,120,106,111,89,88])).
% 1.61/1.63 cnf(301,plain,
% 1.61/1.63 (~E(a1,a22)),
% 1.61/1.63 inference(scs_inference,[],[48,52,53,54,42,58,49,50,44,41,45,40,168,143,185,158,147,154,172,179,205,201,183,207,160,166,181,138,141,156,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,97,126,81,77,90,107,80,71,4,31,29,70,62,108,104,105,119,72,30,2,33,32,3,34,120,106,111,89,88,36])).
% 1.61/1.63 cnf(318,plain,
% 1.61/1.63 (P1(f16(a1,f14(a1)))),
% 1.61/1.63 inference(scs_inference,[],[242,297,28])).
% 1.61/1.63 cnf(319,plain,
% 1.61/1.63 (E(f16(f16(f15(a1,f14(a1)),f14(a1)),x3191),f16(a1,x3191))),
% 1.61/1.63 inference(rename_variables,[],[242])).
% 1.61/1.63 cnf(322,plain,
% 1.61/1.63 (~P8(f21(a17),f11(a1,f21(a17)))),
% 1.61/1.63 inference(scs_inference,[],[50,42,40,301,242,297,279,179,166,156,28,98,126])).
% 1.61/1.63 cnf(326,plain,
% 1.61/1.63 (~E(a1,f16(a18,a5))),
% 1.61/1.63 inference(scs_inference,[],[50,41,42,40,301,242,297,193,279,258,179,166,156,143,138,28,98,126,65,110])).
% 1.61/1.63 cnf(330,plain,
% 1.61/1.63 (P7(a17,f21(f7(f21(a17))))),
% 1.61/1.63 inference(scs_inference,[],[55,50,41,42,40,301,242,297,286,193,279,162,258,179,166,156,143,138,28,98,126,65,110,81,39])).
% 1.61/1.63 cnf(332,plain,
% 1.61/1.63 (E(f16(f16(f15(a1,f14(a1)),f14(a1)),x3321),f16(a1,x3321))),
% 1.61/1.63 inference(rename_variables,[],[242])).
% 1.61/1.63 cnf(339,plain,
% 1.61/1.63 (~E(f16(a1,f14(a1)),a2)),
% 1.61/1.63 inference(scs_inference,[],[55,50,41,42,40,301,242,319,245,297,286,193,279,162,140,152,258,179,166,156,143,138,28,98,126,65,110,81,39,89,88,97,63])).
% 1.61/1.63 cnf(341,plain,
% 1.61/1.63 (~P2(f14(f16(a1,f14(a1))),a1)),
% 1.61/1.63 inference(scs_inference,[],[55,50,41,42,40,301,242,319,245,297,286,193,279,162,140,152,258,179,166,156,143,138,28,98,126,65,110,81,39,89,88,97,63,86])).
% 1.61/1.63 cnf(343,plain,
% 1.61/1.63 (P8(f21(f21(a17)),f21(f21(a17)))),
% 1.61/1.63 inference(scs_inference,[],[55,50,41,42,40,301,145,242,319,245,297,286,193,279,162,140,152,258,179,166,156,143,138,28,98,126,65,110,81,39,89,88,97,63,86,118])).
% 1.61/1.63 cnf(345,plain,
% 1.61/1.63 (P2(f19(a18),a1)),
% 1.61/1.63 inference(scs_inference,[],[52,55,50,41,42,40,301,145,242,319,245,297,286,193,279,162,140,152,258,179,166,156,143,138,28,98,126,65,110,81,39,89,88,97,63,86,118,71])).
% 1.61/1.63 cnf(350,plain,
% 1.61/1.63 (P2(f19(a22),a1)),
% 1.61/1.63 inference(scs_inference,[],[52,55,50,41,42,40,301,145,242,319,245,297,289,286,193,279,270,162,140,152,258,179,166,156,143,138,28,98,126,65,110,81,39,89,88,97,63,86,118,71,23,104,72])).
% 1.61/1.63 cnf(354,plain,
% 1.61/1.63 (E(f16(f15(a18,f14(a1)),f14(a1)),a18)),
% 1.61/1.63 inference(scs_inference,[],[52,55,50,41,42,40,301,145,242,319,245,297,289,286,193,279,270,162,266,140,152,258,179,166,156,143,138,172,28,98,126,65,110,81,39,89,88,97,63,86,118,71,23,104,72,90,107])).
% 1.61/1.63 cnf(358,plain,
% 1.61/1.63 (P2(f11(a1,f21(a17)),a1)),
% 1.61/1.63 inference(scs_inference,[],[52,55,50,41,42,45,40,301,145,242,319,245,297,289,286,193,279,270,288,162,266,140,152,258,179,166,156,143,138,172,28,98,126,65,110,81,39,89,88,97,63,86,118,71,23,104,72,90,107,105,119])).
% 1.61/1.63 cnf(371,plain,
% 1.61/1.63 (~P8(f19(a18),a17)),
% 1.61/1.63 inference(scs_inference,[],[52,137,57,55,59,50,41,42,45,40,301,145,242,319,332,245,297,289,243,286,193,264,279,270,256,288,275,162,266,140,148,152,258,179,205,166,156,143,138,172,28,98,126,65,110,81,39,89,88,97,63,86,118,71,23,104,72,90,107,105,119,4,31,29,30,2,3,32,33,93,128])).
% 1.61/1.63 cnf(398,plain,
% 1.61/1.63 (E(f15(f16(f15(a1,f14(a1)),f14(a1)),x3981),f15(a1,x3981))),
% 1.61/1.63 inference(rename_variables,[],[245])).
% 1.61/1.63 cnf(399,plain,
% 1.61/1.63 (P2(a17,f15(f16(f15(a1,f14(a1)),f14(a1)),a17))),
% 1.61/1.63 inference(scs_inference,[],[45,40,299,177,245,398,28,115])).
% 1.61/1.63 cnf(402,plain,
% 1.61/1.63 (~P8(f19(a18),f11(a22,f19(a18)))),
% 1.61/1.63 inference(scs_inference,[],[53,50,45,40,299,177,245,398,205,154,28,115,126])).
% 1.61/1.63 cnf(404,plain,
% 1.61/1.63 (E(f7(f21(a17)),a17)),
% 1.61/1.63 inference(scs_inference,[],[53,50,45,40,299,177,245,398,183,205,185,154,28,115,126,97])).
% 1.61/1.63 cnf(408,plain,
% 1.61/1.63 (~P2(a17,a18)),
% 1.61/1.63 inference(scs_inference,[],[53,50,44,45,40,299,371,177,245,398,183,205,185,154,28,115,126,97,95,80])).
% 1.61/1.63 cnf(410,plain,
% 1.61/1.63 (~P8(f21(f21(a17)),f21(f11(a1,f21(a17))))),
% 1.61/1.63 inference(scs_inference,[],[53,50,44,45,40,299,322,358,371,177,245,398,183,205,185,154,166,28,115,126,97,95,80,121])).
% 1.61/1.63 cnf(414,plain,
% 1.61/1.63 (~P2(f14(f16(a1,f14(a1))),a18)),
% 1.61/1.63 inference(scs_inference,[],[53,49,50,44,45,40,299,322,341,358,371,177,245,398,183,205,185,154,166,28,115,126,97,95,80,121,111,104])).
% 1.61/1.63 cnf(419,plain,
% 1.61/1.63 (~P2(f14(f16(a1,f14(a1))),a22)),
% 1.61/1.63 inference(scs_inference,[],[53,49,50,44,45,40,299,322,341,358,354,371,177,245,398,183,205,185,154,166,28,115,126,97,95,80,121,111,104,96,23,72])).
% 1.61/1.63 cnf(423,plain,
% 1.61/1.63 (E(f19(f16(f15(a18,f14(a1)),f14(a1))),f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[53,49,50,44,45,40,299,268,322,341,358,354,371,177,245,398,183,205,185,154,166,179,156,28,115,126,97,95,80,121,111,104,96,23,72,90,4])).
% 1.61/1.63 cnf(459,plain,
% 1.61/1.63 (P3(f14(a22))),
% 1.61/1.63 inference(scs_inference,[],[42,64])).
% 1.61/1.63 cnf(461,plain,
% 1.61/1.63 (E(a17,f7(f21(a17)))),
% 1.61/1.63 inference(scs_inference,[],[42,45,286,183,64,97])).
% 1.61/1.63 cnf(465,plain,
% 1.61/1.63 (P8(f19(a18),f19(a22))),
% 1.61/1.63 inference(scs_inference,[],[54,138,42,45,286,183,258,48,64,97,115,80])).
% 1.61/1.63 cnf(470,plain,
% 1.61/1.63 (P2(f11(a22,f19(a18)),a1)),
% 1.61/1.63 inference(scs_inference,[],[54,138,50,42,45,40,281,286,183,245,258,177,48,64,97,115,80,88,104])).
% 1.61/1.63 cnf(481,plain,
% 1.61/1.63 (~E(f19(a22),a5)),
% 1.61/1.63 inference(scs_inference,[],[54,138,43,50,42,45,40,269,281,419,399,271,408,242,286,183,245,154,258,177,48,64,97,115,80,88,104,89,72,90,30,31,29])).
% 1.61/1.63 cnf(488,plain,
% 1.61/1.63 (P3(f7(f21(a17)))),
% 1.61/1.63 inference(scs_inference,[],[58,54,138,43,50,42,45,41,40,269,410,343,260,423,281,419,399,271,326,408,145,242,286,183,245,154,258,177,48,64,97,115,80,88,104,89,72,90,30,31,29,2,3,33,32,132,37])).
% 1.61/1.63 cnf(507,plain,
% 1.61/1.63 (~P8(f19(a22),a17)),
% 1.61/1.63 inference(scs_inference,[],[45,465,345,371,350,128])).
% 1.61/1.63 cnf(509,plain,
% 1.61/1.63 (~P8(f19(a22),f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[45,465,345,371,350,205,128,117])).
% 1.61/1.63 cnf(526,plain,
% 1.61/1.63 (~P4(f15(f16(a1,a17),a17))),
% 1.61/1.63 inference(scs_inference,[],[58,138,50,45,40,488,402,465,461,262,283,345,330,191,371,141,350,205,154,143,258,128,117,38,81,115,80,111,97,90,23,30,31])).
% 1.61/1.63 cnf(567,plain,
% 1.61/1.63 (~P8(a5,f19(a22))),
% 1.61/1.63 inference(scs_inference,[],[42,470,481,399,158,350,143,91,82,78,67,84,73,66,68,117])).
% 1.61/1.63 cnf(575,plain,
% 1.61/1.63 (~P8(f21(f19(a22)),f21(a17))),
% 1.61/1.63 inference(scs_inference,[],[47,42,45,470,481,509,187,507,399,158,350,345,143,91,82,78,67,84,73,66,68,117,81,80,111,121])).
% 1.61/1.63 cnf(577,plain,
% 1.61/1.63 (P2(a5,f15(f16(f15(a1,f14(a1)),f14(a1)),a5))),
% 1.61/1.63 inference(scs_inference,[],[47,42,45,40,470,481,509,187,507,399,158,245,350,345,143,258,91,82,78,67,84,73,66,68,117,81,80,111,121,115])).
% 1.61/1.63 cnf(578,plain,
% 1.61/1.63 (E(f15(f16(f15(a1,f14(a1)),f14(a1)),x5781),f15(a1,x5781))),
% 1.61/1.63 inference(rename_variables,[],[245])).
% 1.61/1.63 cnf(593,plain,
% 1.61/1.63 (~P8(f19(a22),f19(f16(f15(a18,f14(a1)),f14(a1))))),
% 1.61/1.63 inference(scs_inference,[],[47,43,138,49,42,45,40,526,414,199,470,481,459,509,187,507,423,399,242,461,158,354,245,578,350,345,147,143,258,91,82,78,67,84,73,66,68,117,81,80,111,121,115,89,88,97,90,30,31,4,33])).
% 1.61/1.63 cnf(633,plain,
% 1.61/1.63 (P3(f19(a18))),
% 1.61/1.63 inference(scs_inference,[],[53,42,318,339,404,27,25,24,22,21,19,18,17,13,12,7,6,26,20,16,15,14,11,10,9,8,5,70,108,77])).
% 1.61/1.63 cnf(645,plain,
% 1.61/1.63 (P2(f19(f16(f15(a18,f14(a1)),f14(a1))),a18)),
% 1.61/1.63 inference(scs_inference,[],[53,138,49,42,41,593,567,575,577,318,339,404,423,166,147,350,143,27,25,24,22,21,19,18,17,13,12,7,6,26,20,16,15,14,11,10,9,8,5,70,108,77,62,81,104,111,121,90])).
% 1.61/1.63 cnf(706,plain,
% 1.61/1.63 ($false),
% 1.61/1.63 inference(scs_inference,[],[40,47,54,53,138,45,41,42,175,633,645,408,509,577,179,177,116,77,70,108,62,110,71,81]),
% 1.61/1.63 ['proof']).
% 1.61/1.63 % SZS output end Proof
% 1.61/1.63 % Total time :0.870000s
%------------------------------------------------------------------------------