TSTP Solution File: NUM578+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM578+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 : n026.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 10:23:14 EDT 2023
% Result : Theorem 4.79s 4.89s
% Output : CNFRefutation 4.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 12:22:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 4.79/4.85 %-------------------------------------------
% 4.79/4.85 % File :CSE---1.6
% 4.79/4.85 % Problem :theBenchmark
% 4.79/4.85 % Transform :cnf
% 4.79/4.85 % Format :tptp:raw
% 4.79/4.86 % Command :java -jar mcs_scs.jar %d %s
% 4.79/4.86
% 4.79/4.86 % Result :Theorem 4.160000s
% 4.79/4.86 % Output :CNFRefutation 4.160000s
% 4.79/4.86 %-------------------------------------------
% 4.79/4.86 %------------------------------------------------------------------------------
% 4.79/4.86 % File : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 4.79/4.86 % Domain : Number Theory
% 4.79/4.86 % Problem : Ramsey's Infinite Theorem 15_02_05_03, 00 expansion
% 4.79/4.86 % Version : Especial.
% 4.79/4.86 % English :
% 4.79/4.86
% 4.79/4.86 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 4.79/4.86 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 4.79/4.86 % Source : [Pas08]
% 4.79/4.86 % Names : ramsey_15_02_05_03.00 [Pas08]
% 4.79/4.86
% 4.79/4.86 % Status : Theorem
% 4.79/4.86 % Rating : 0.25 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.83 v4.0.0
% 4.79/4.86 % Syntax : Number of formulae : 86 ( 6 unt; 11 def)
% 4.79/4.86 % Number of atoms : 340 ( 59 equ)
% 4.79/4.86 % Maximal formula atoms : 12 ( 3 avg)
% 4.79/4.86 % Number of connectives : 280 ( 26 ~; 5 |; 104 &)
% 4.79/4.86 % ( 22 <=>; 123 =>; 0 <=; 0 <~>)
% 4.79/4.86 % Maximal formula depth : 15 ( 5 avg)
% 4.79/4.86 % Maximal term depth : 4 ( 1 avg)
% 4.79/4.86 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 4.79/4.86 % Number of functors : 25 ( 25 usr; 11 con; 0-2 aty)
% 4.79/4.86 % Number of variables : 151 ( 143 !; 8 ?)
% 4.79/4.86 % SPC : FOF_THM_RFO_SEQ
% 4.79/4.86
% 4.79/4.86 % Comments : Problem generated by the SAD system [VLP07]
% 4.79/4.86 %------------------------------------------------------------------------------
% 4.79/4.86 fof(mSetSort,axiom,
% 4.79/4.86 ! [W0] :
% 4.79/4.86 ( aSet0(W0)
% 4.79/4.86 => $true ) ).
% 4.79/4.86
% 4.79/4.86 fof(mElmSort,axiom,
% 4.79/4.86 ! [W0] :
% 4.79/4.86 ( aElement0(W0)
% 4.79/4.86 => $true ) ).
% 4.79/4.86
% 4.79/4.86 fof(mEOfElem,axiom,
% 4.79/4.86 ! [W0] :
% 4.79/4.86 ( aSet0(W0)
% 4.79/4.86 => ! [W1] :
% 4.79/4.86 ( aElementOf0(W1,W0)
% 4.79/4.86 => aElement0(W1) ) ) ).
% 4.79/4.86
% 4.79/4.86 fof(mFinRel,axiom,
% 4.79/4.86 ! [W0] :
% 4.79/4.86 ( aSet0(W0)
% 4.79/4.86 => ( isFinite0(W0)
% 4.79/4.86 => $true ) ) ).
% 4.79/4.86
% 4.79/4.86 fof(mDefEmp,definition,
% 4.79/4.86 ! [W0] :
% 4.79/4.86 ( W0 = slcrc0
% 4.79/4.86 <=> ( aSet0(W0)
% 4.79/4.86 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 4.79/4.86
% 4.79/4.86 fof(mEmpFin,axiom,
% 4.79/4.86 isFinite0(slcrc0) ).
% 4.79/4.86
% 4.79/4.86 fof(mCntRel,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aSet0(W0)
% 4.79/4.87 => ( isCountable0(W0)
% 4.79/4.87 => $true ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mCountNFin,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & isCountable0(W0) )
% 4.79/4.87 => ~ isFinite0(W0) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mCountNFin_01,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & isCountable0(W0) )
% 4.79/4.87 => W0 != slcrc0 ) ).
% 4.79/4.87
% 4.79/4.87 fof(mDefSub,definition,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aSet0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( aSubsetOf0(W1,W0)
% 4.79/4.87 <=> ( aSet0(W1)
% 4.79/4.87 & ! [W2] :
% 4.79/4.87 ( aElementOf0(W2,W1)
% 4.79/4.87 => aElementOf0(W2,W0) ) ) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSubFSet,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & isFinite0(W0) )
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( aSubsetOf0(W1,W0)
% 4.79/4.87 => isFinite0(W1) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSubRefl,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aSet0(W0)
% 4.79/4.87 => aSubsetOf0(W0,W0) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSubASymm,axiom,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & aSet0(W1) )
% 4.79/4.87 => ( ( aSubsetOf0(W0,W1)
% 4.79/4.87 & aSubsetOf0(W1,W0) )
% 4.79/4.87 => W0 = W1 ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSubTrans,axiom,
% 4.79/4.87 ! [W0,W1,W2] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & aSet0(W1)
% 4.79/4.87 & aSet0(W2) )
% 4.79/4.87 => ( ( aSubsetOf0(W0,W1)
% 4.79/4.87 & aSubsetOf0(W1,W2) )
% 4.79/4.87 => aSubsetOf0(W0,W2) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mDefCons,definition,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & aElement0(W1) )
% 4.79/4.87 => ! [W2] :
% 4.79/4.87 ( W2 = sdtpldt0(W0,W1)
% 4.79/4.87 <=> ( aSet0(W2)
% 4.79/4.87 & ! [W3] :
% 4.79/4.87 ( aElementOf0(W3,W2)
% 4.79/4.87 <=> ( aElement0(W3)
% 4.79/4.87 & ( aElementOf0(W3,W0)
% 4.79/4.87 | W3 = W1 ) ) ) ) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mDefDiff,definition,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aSet0(W0)
% 4.79/4.87 & aElement0(W1) )
% 4.79/4.87 => ! [W2] :
% 4.79/4.87 ( W2 = sdtmndt0(W0,W1)
% 4.79/4.87 <=> ( aSet0(W2)
% 4.79/4.87 & ! [W3] :
% 4.79/4.87 ( aElementOf0(W3,W2)
% 4.79/4.87 <=> ( aElement0(W3)
% 4.79/4.87 & aElementOf0(W3,W0)
% 4.79/4.87 & W3 != W1 ) ) ) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mConsDiff,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aSet0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( aElementOf0(W1,W0)
% 4.79/4.87 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mDiffCons,axiom,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aElement0(W0)
% 4.79/4.87 & aSet0(W1) )
% 4.79/4.87 => ( ~ aElementOf0(W0,W1)
% 4.79/4.87 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mCConsSet,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElement0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( ( aSet0(W1)
% 4.79/4.87 & isCountable0(W1) )
% 4.79/4.87 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mCDiffSet,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElement0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( ( aSet0(W1)
% 4.79/4.87 & isCountable0(W1) )
% 4.79/4.87 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mFConsSet,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElement0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( ( aSet0(W1)
% 4.79/4.87 & isFinite0(W1) )
% 4.79/4.87 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mFDiffSet,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElement0(W0)
% 4.79/4.87 => ! [W1] :
% 4.79/4.87 ( ( aSet0(W1)
% 4.79/4.87 & isFinite0(W1) )
% 4.79/4.87 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mNATSet,axiom,
% 4.79/4.87 ( aSet0(szNzAzT0)
% 4.79/4.87 & isCountable0(szNzAzT0) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mZeroNum,axiom,
% 4.79/4.87 aElementOf0(sz00,szNzAzT0) ).
% 4.79/4.87
% 4.79/4.87 fof(mSuccNum,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 4.79/4.87 & szszuzczcdt0(W0) != sz00 ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSuccEquSucc,axiom,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.87 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 4.79/4.87 => W0 = W1 ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mNatExtra,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 => ( W0 = sz00
% 4.79/4.87 | ? [W1] :
% 4.79/4.87 ( aElementOf0(W1,szNzAzT0)
% 4.79/4.87 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mNatNSucc,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 => W0 != szszuzczcdt0(W0) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mLessRel,axiom,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.87 => ( sdtlseqdt0(W0,W1)
% 4.79/4.87 => $true ) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mZeroLess,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 => sdtlseqdt0(sz00,W0) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mNoScLessZr,axiom,
% 4.79/4.87 ! [W0] :
% 4.79/4.87 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 4.79/4.87
% 4.79/4.87 fof(mSuccLess,axiom,
% 4.79/4.87 ! [W0,W1] :
% 4.79/4.87 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.87 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.87 => ( sdtlseqdt0(W0,W1)
% 4.79/4.88 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mLessSucc,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mLessRefl,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 => sdtlseqdt0(W0,W0) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mLessASymm,axiom,
% 4.79/4.88 ! [W0,W1] :
% 4.79/4.88 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.88 => ( ( sdtlseqdt0(W0,W1)
% 4.79/4.88 & sdtlseqdt0(W1,W0) )
% 4.79/4.88 => W0 = W1 ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mLessTrans,axiom,
% 4.79/4.88 ! [W0,W1,W2] :
% 4.79/4.88 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 & aElementOf0(W1,szNzAzT0)
% 4.79/4.88 & aElementOf0(W2,szNzAzT0) )
% 4.79/4.88 => ( ( sdtlseqdt0(W0,W1)
% 4.79/4.88 & sdtlseqdt0(W1,W2) )
% 4.79/4.88 => sdtlseqdt0(W0,W2) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mLessTotal,axiom,
% 4.79/4.88 ! [W0,W1] :
% 4.79/4.88 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.88 => ( sdtlseqdt0(W0,W1)
% 4.79/4.88 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mIHSort,axiom,
% 4.79/4.88 ! [W0,W1] :
% 4.79/4.88 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.88 => ( iLess0(W0,W1)
% 4.79/4.88 => $true ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mIH,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardS,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aSet0(W0)
% 4.79/4.88 => aElement0(sbrdtbr0(W0)) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardNum,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aSet0(W0)
% 4.79/4.88 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 4.79/4.88 <=> isFinite0(W0) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardEmpty,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aSet0(W0)
% 4.79/4.88 => ( sbrdtbr0(W0) = sz00
% 4.79/4.88 <=> W0 = slcrc0 ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardCons,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( ( aSet0(W0)
% 4.79/4.88 & isFinite0(W0) )
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( aElement0(W1)
% 4.79/4.88 => ( ~ aElementOf0(W1,W0)
% 4.79/4.88 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardDiff,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aSet0(W0)
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( ( isFinite0(W0)
% 4.79/4.88 & aElementOf0(W1,W0) )
% 4.79/4.88 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardSub,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aSet0(W0)
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( ( isFinite0(W0)
% 4.79/4.88 & aSubsetOf0(W1,W0) )
% 4.79/4.88 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mCardSubEx,axiom,
% 4.79/4.88 ! [W0,W1] :
% 4.79/4.88 ( ( aSet0(W0)
% 4.79/4.88 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.88 => ( ( isFinite0(W0)
% 4.79/4.88 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 4.79/4.88 => ? [W2] :
% 4.79/4.88 ( aSubsetOf0(W2,W0)
% 4.79/4.88 & sbrdtbr0(W2) = W1 ) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mDefMin,definition,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.79/4.88 & W0 != slcrc0 )
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( W1 = szmzizndt0(W0)
% 4.79/4.88 <=> ( aElementOf0(W1,W0)
% 4.79/4.88 & ! [W2] :
% 4.79/4.88 ( aElementOf0(W2,W0)
% 4.79/4.88 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mDefMax,definition,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.79/4.88 & isFinite0(W0)
% 4.79/4.88 & W0 != slcrc0 )
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( W1 = szmzazxdt0(W0)
% 4.79/4.88 <=> ( aElementOf0(W1,W0)
% 4.79/4.88 & ! [W2] :
% 4.79/4.88 ( aElementOf0(W2,W0)
% 4.79/4.88 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mMinMin,axiom,
% 4.79/4.88 ! [W0,W1] :
% 4.79/4.88 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.79/4.88 & aSubsetOf0(W1,szNzAzT0)
% 4.79/4.88 & W0 != slcrc0
% 4.79/4.88 & W1 != slcrc0 )
% 4.79/4.88 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 4.79/4.88 & aElementOf0(szmzizndt0(W1),W0) )
% 4.79/4.88 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mDefSeg,definition,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.88 => ! [W1] :
% 4.79/4.88 ( W1 = slbdtrb0(W0)
% 4.79/4.88 <=> ( aSet0(W1)
% 4.79/4.88 & ! [W2] :
% 4.79/4.88 ( aElementOf0(W2,W1)
% 4.79/4.88 <=> ( aElementOf0(W2,szNzAzT0)
% 4.79/4.88 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 4.79/4.88
% 4.79/4.88 fof(mSegFin,axiom,
% 4.79/4.88 ! [W0] :
% 4.79/4.88 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => isFinite0(slbdtrb0(W0)) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSegZero,axiom,
% 4.79/4.89 slbdtrb0(sz00) = slcrc0 ).
% 4.79/4.89
% 4.79/4.89 fof(mSegSucc,axiom,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 4.79/4.89 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 4.79/4.89 | W0 = W1 ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSegLess,axiom,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ( sdtlseqdt0(W0,W1)
% 4.79/4.89 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mFinSubSeg,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.79/4.89 & isFinite0(W0) )
% 4.79/4.89 => ? [W1] :
% 4.79/4.89 ( aElementOf0(W1,szNzAzT0)
% 4.79/4.89 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mCardSeg,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDefSel,definition,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aSet0(W0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( W2 = slbdtsldtrb0(W0,W1)
% 4.79/4.89 <=> ( aSet0(W2)
% 4.79/4.89 & ! [W3] :
% 4.79/4.89 ( aElementOf0(W3,W2)
% 4.79/4.89 <=> ( aSubsetOf0(W3,W0)
% 4.79/4.89 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSelFSet,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( ( aSet0(W0)
% 4.79/4.89 & isFinite0(W0) )
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aElementOf0(W1,szNzAzT0)
% 4.79/4.89 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSelNSet,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( ( aSet0(W0)
% 4.79/4.89 & ~ isFinite0(W0) )
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aElementOf0(W1,szNzAzT0)
% 4.79/4.89 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSelCSet,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( ( aSet0(W0)
% 4.79/4.89 & isCountable0(W0) )
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( ( aElementOf0(W1,szNzAzT0)
% 4.79/4.89 & W1 != sz00 )
% 4.79/4.89 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSelSub,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => ! [W1,W2] :
% 4.79/4.89 ( ( aSet0(W1)
% 4.79/4.89 & aSet0(W2)
% 4.79/4.89 & W0 != sz00 )
% 4.79/4.89 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 4.79/4.89 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 4.79/4.89 => aSubsetOf0(W1,W2) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mSelExtra,axiom,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aSet0(W0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 4.79/4.89 & isFinite0(W2) )
% 4.79/4.89 => ? [W3] :
% 4.79/4.89 ( aSubsetOf0(W3,W0)
% 4.79/4.89 & isFinite0(W3)
% 4.79/4.89 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mFunSort,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => $true ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDomSet,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => aSet0(szDzozmdt0(W0)) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mImgElm,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aElementOf0(W1,szDzozmdt0(W0))
% 4.79/4.89 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDefPtt,definition,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aFunction0(W0)
% 4.79/4.89 & aElement0(W1) )
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( W2 = sdtlbdtrb0(W0,W1)
% 4.79/4.89 <=> ( aSet0(W2)
% 4.79/4.89 & ! [W3] :
% 4.79/4.89 ( aElementOf0(W3,W2)
% 4.79/4.89 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 4.79/4.89 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mPttSet,axiom,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aFunction0(W0)
% 4.79/4.89 & aElement0(W1) )
% 4.79/4.89 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDefSImg,definition,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( W2 = sdtlcdtrc0(W0,W1)
% 4.79/4.89 <=> ( aSet0(W2)
% 4.79/4.89 & ! [W3] :
% 4.79/4.89 ( aElementOf0(W3,W2)
% 4.79/4.89 <=> ? [W4] :
% 4.79/4.89 ( aElementOf0(W4,W1)
% 4.79/4.89 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mImgRng,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aElementOf0(W1,szDzozmdt0(W0))
% 4.79/4.89 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDefRst,definition,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( W2 = sdtexdt0(W0,W1)
% 4.79/4.89 <=> ( aFunction0(W2)
% 4.79/4.89 & szDzozmdt0(W2) = W1
% 4.79/4.89 & ! [W3] :
% 4.79/4.89 ( aElementOf0(W3,W1)
% 4.79/4.89 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mImgCount,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.79/4.89 & isCountable0(W1) )
% 4.79/4.89 => ( ! [W2,W3] :
% 4.79/4.89 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 4.79/4.89 & aElementOf0(W3,szDzozmdt0(W0))
% 4.79/4.89 & W2 != W3 )
% 4.79/4.89 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 4.79/4.89 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(mDirichlet,axiom,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aFunction0(W0)
% 4.79/4.89 => ( ( isCountable0(szDzozmdt0(W0))
% 4.79/4.89 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 4.79/4.89 => ( aElement0(szDzizrdt0(W0))
% 4.79/4.89 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3291,hypothesis,
% 4.79/4.89 ( aSet0(xT)
% 4.79/4.89 & isFinite0(xT) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3418,hypothesis,
% 4.79/4.89 aElementOf0(xK,szNzAzT0) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3435,hypothesis,
% 4.79/4.89 ( aSubsetOf0(xS,szNzAzT0)
% 4.79/4.89 & isCountable0(xS) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3453,hypothesis,
% 4.79/4.89 ( aFunction0(xc)
% 4.79/4.89 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 4.79/4.89 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3398,hypothesis,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => ! [W1] :
% 4.79/4.89 ( ( aSubsetOf0(W1,szNzAzT0)
% 4.79/4.89 & isCountable0(W1) )
% 4.79/4.89 => ! [W2] :
% 4.79/4.89 ( ( aFunction0(W2)
% 4.79/4.89 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 4.79/4.89 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 4.79/4.89 => ( iLess0(W0,xK)
% 4.79/4.89 => ? [W3] :
% 4.79/4.89 ( aElementOf0(W3,xT)
% 4.79/4.89 & ? [W4] :
% 4.79/4.89 ( aSubsetOf0(W4,W1)
% 4.79/4.89 & isCountable0(W4)
% 4.79/4.89 & ! [W5] :
% 4.79/4.89 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 4.79/4.89 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3462,hypothesis,
% 4.79/4.89 xK != sz00 ).
% 4.79/4.89
% 4.79/4.89 fof(m__3520,hypothesis,
% 4.79/4.89 xK != sz00 ).
% 4.79/4.89
% 4.79/4.89 fof(m__3533,hypothesis,
% 4.79/4.89 ( aElementOf0(xk,szNzAzT0)
% 4.79/4.89 & szszuzczcdt0(xk) = xK ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3623,hypothesis,
% 4.79/4.89 ( aFunction0(xN)
% 4.79/4.89 & szDzozmdt0(xN) = szNzAzT0
% 4.79/4.89 & sdtlpdtrp0(xN,sz00) = xS
% 4.79/4.89 & ! [W0] :
% 4.79/4.89 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 4.79/4.89 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 4.79/4.89 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 4.79/4.89 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3671,hypothesis,
% 4.79/4.89 ! [W0] :
% 4.79/4.89 ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 4.79/4.89 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3754,hypothesis,
% 4.79/4.89 ! [W0,W1] :
% 4.79/4.89 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ( sdtlseqdt0(W1,W0)
% 4.79/4.89 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3856,hypothesis,
% 4.79/4.89 ( aElementOf0(xi,szNzAzT0)
% 4.79/4.89 & aElementOf0(xj,szNzAzT0) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__3856_02,hypothesis,
% 4.79/4.89 ( xi != xj
% 4.79/4.89 => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
% 4.79/4.89 | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ).
% 4.79/4.89
% 4.79/4.89 fof(m__,conjecture,
% 4.79/4.89 ( ! [W0,W1] :
% 4.79/4.89 ( ( aElementOf0(W0,szNzAzT0)
% 4.79/4.89 & aElementOf0(W1,szNzAzT0) )
% 4.79/4.89 => ( sdtlseqdt0(szszuzczcdt0(W0),W1)
% 4.79/4.89 => ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 4.79/4.89 & szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
% 4.79/4.89 => ( xi != xj
% 4.79/4.89 => szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ).
% 4.79/4.89
% 4.79/4.89 %------------------------------------------------------------------------------
% 4.79/4.89 %-------------------------------------------
% 4.79/4.89 % Proof found
% 4.79/4.89 % SZS status Theorem for theBenchmark
% 4.79/4.89 % SZS output start Proof
% 4.79/4.89 %ClaNum:256(EqnAxiom:88)
% 4.79/4.89 %VarNum:1159(SingletonVarNum:336)
% 4.79/4.89 %MaxLitNum:9
% 4.79/4.89 %MaxfuncDepth:3
% 4.79/4.89 %SharedTerms:50
% 4.79/4.89 %goalClause: 109 112 223 237
% 4.79/4.89 %singleGoalClaCount:2
% 4.79/4.89 [92]P1(a37)
% 4.79/4.89 [93]P1(a42)
% 4.79/4.89 [94]P5(a33)
% 4.79/4.89 [95]P5(a42)
% 4.79/4.89 [96]P6(a37)
% 4.79/4.89 [97]P6(a43)
% 4.79/4.89 [98]P2(a44)
% 4.79/4.89 [99]P2(a41)
% 4.79/4.89 [101]P3(a3,a37)
% 4.79/4.89 [102]P3(a40,a37)
% 4.79/4.89 [103]P3(a1,a37)
% 4.79/4.89 [104]P3(a45,a37)
% 4.79/4.89 [105]P3(a46,a37)
% 4.79/4.89 [106]P7(a43,a37)
% 4.79/4.89 [111]~E(a3,a40)
% 4.79/4.89 [112]~E(a46,a45)
% 4.79/4.89 [89]E(f2(a1),a40)
% 4.79/4.89 [90]E(f4(a3),a33)
% 4.79/4.89 [91]E(f35(a41),a37)
% 4.79/4.89 [100]E(f5(a41,a3),a43)
% 4.79/4.89 [107]E(f34(a43,a40),f35(a44))
% 4.79/4.89 [108]P7(f6(a44,f35(a44)),a42)
% 4.79/4.89 [109]E(f38(f5(a41,a46)),f38(f5(a41,a45)))
% 4.79/4.89 [113]P1(x1131)+~E(x1131,a33)
% 4.79/4.89 [120]~P1(x1201)+P7(x1201,x1201)
% 4.79/4.89 [128]~P3(x1281,a37)+P9(a3,x1281)
% 4.79/4.89 [134]P9(x1341,x1341)+~P3(x1341,a37)
% 4.79/4.89 [117]~P2(x1171)+P1(f35(x1171))
% 4.79/4.89 [118]~P1(x1181)+P4(f7(x1181))
% 4.79/4.89 [122]~P3(x1221,a37)+~E(f2(x1221),a3)
% 4.79/4.89 [123]~P3(x1231,a37)+~E(f2(x1231),x1231)
% 4.79/4.89 [125]~P3(x1251,a37)+P5(f4(x1251))
% 4.79/4.89 [135]~P3(x1351,a37)+P3(f2(x1351),a37)
% 4.79/4.89 [136]~P3(x1361,a37)+P9(x1361,f2(x1361))
% 4.79/4.89 [137]~P3(x1371,a37)+P8(x1371,f2(x1371))
% 4.79/4.89 [146]~P3(x1461,a37)+P6(f5(a41,x1461))
% 4.79/4.89 [147]~P3(x1471,a37)+~P9(f2(x1471),a3)
% 4.79/4.89 [155]~P3(x1551,a37)+P7(f5(a41,x1551),a37)
% 4.79/4.89 [126]~P3(x1261,a37)+E(f7(f4(x1261)),x1261)
% 4.79/4.89 [121]~P3(x1212,x1211)+~E(x1211,a33)
% 4.79/4.89 [127]E(a46,a45)+P9(f2(a45),a46)+P9(f2(a46),a45)
% 4.79/4.89 [116]~P1(x1161)+~P6(x1161)+~E(x1161,a33)
% 4.79/4.89 [119]~P5(x1191)+~P6(x1191)+~P1(x1191)
% 4.79/4.89 [114]~P1(x1141)+~E(x1141,a33)+E(f7(x1141),a3)
% 4.79/4.89 [115]~P1(x1151)+E(x1151,a33)+~E(f7(x1151),a3)
% 4.79/4.89 [124]~P1(x1241)+P3(f8(x1241),x1241)+E(x1241,a33)
% 4.79/4.89 [131]~P1(x1311)+~P5(x1311)+P3(f7(x1311),a37)
% 4.79/4.89 [138]~P3(x1381,a37)+E(x1381,a3)+P3(f19(x1381),a37)
% 4.79/4.89 [139]~P1(x1391)+P5(x1391)+~P3(f7(x1391),a37)
% 4.79/4.89 [145]~P5(x1451)+~P7(x1451,a37)+P3(f9(x1451),a37)
% 4.79/4.89 [129]~P3(x1291,a37)+E(x1291,a3)+E(f2(f19(x1291)),x1291)
% 4.79/4.89 [157]~P5(x1571)+~P7(x1571,a37)+P7(x1571,f4(f9(x1571)))
% 4.79/4.89 [132]~P7(x1321,x1322)+P1(x1321)+~P1(x1322)
% 4.79/4.89 [133]~P3(x1331,x1332)+P4(x1331)+~P1(x1332)
% 4.79/4.89 [130]P1(x1301)+~P3(x1302,a37)+~E(x1301,f4(x1302))
% 4.79/4.89 [158]~P4(x1582)+~P2(x1581)+P7(f29(x1581,x1582),f35(x1581))
% 4.79/4.89 [174]~P2(x1741)+~P3(x1742,f35(x1741))+P4(f5(x1741,x1742))
% 4.79/4.89 [176]~P1(x1761)+~P3(x1762,x1761)+E(f31(f32(x1761,x1762),x1762),x1761)
% 4.79/4.89 [212]~P2(x2121)+~P3(x2122,f35(x2121))+P3(f5(x2121,x2122),f6(x2121,f35(x2121)))
% 4.79/4.89 [202]~P2(x2021)+~P6(f35(x2021))+P4(f36(x2021))+~P5(f6(x2021,f35(x2021)))
% 4.79/4.89 [220]~P2(x2201)+~P6(f35(x2201))+~P5(f6(x2201,f35(x2201)))+P6(f29(x2201,f36(x2201)))
% 4.79/4.89 [224]~P3(x2241,a37)+~P7(f5(a41,x2241),a37)+~P6(f5(a41,x2241))+P6(f5(a41,f2(x2241)))
% 4.79/4.89 [244]~P3(x2441,a37)+~P7(f5(a41,x2441),a37)+~P6(f5(a41,x2441))+P7(f5(a41,f2(x2441)),f32(f5(a41,x2441),f38(f5(a41,x2441))))
% 4.79/4.89 [140]~P5(x1402)+~P7(x1401,x1402)+P5(x1401)+~P1(x1402)
% 4.79/4.89 [144]P3(x1442,x1441)+~E(x1442,f38(x1441))+~P7(x1441,a37)+E(x1441,a33)
% 4.79/4.89 [149]~P1(x1491)+~P4(x1492)+~P5(x1491)+P5(f31(x1491,x1492))
% 4.79/4.89 [150]~P1(x1501)+~P4(x1502)+~P5(x1501)+P5(f32(x1501,x1502))
% 4.79/4.89 [151]~P1(x1511)+~P4(x1512)+~P6(x1511)+P6(f31(x1511,x1512))
% 4.79/4.89 [152]~P1(x1521)+~P4(x1522)+~P6(x1521)+P6(f32(x1521,x1522))
% 4.79/4.89 [153]~P1(x1531)+P5(x1531)+~P3(x1532,a37)+~E(f34(x1531,x1532),a33)
% 4.79/4.89 [156]E(x1561,x1562)+~E(f2(x1561),f2(x1562))+~P3(x1562,a37)+~P3(x1561,a37)
% 4.79/4.89 [161]~P1(x1612)+~P5(x1612)+~P7(x1611,x1612)+P9(f7(x1611),f7(x1612))
% 4.79/4.89 [164]~P1(x1641)+~P5(x1641)+~P3(x1642,a37)+P5(f34(x1641,x1642))
% 4.79/4.89 [173]~P1(x1731)+~P1(x1732)+P7(x1731,x1732)+P3(f20(x1732,x1731),x1731)
% 4.79/4.89 [180]P9(x1801,x1802)+P9(f2(x1802),x1801)+~P3(x1802,a37)+~P3(x1801,a37)
% 4.79/4.89 [192]~P9(x1921,x1922)+~P3(x1922,a37)+~P3(x1921,a37)+P7(f4(x1921),f4(x1922))
% 4.79/4.89 [193]~P9(x1931,x1932)+~P3(x1932,a37)+~P3(x1931,a37)+P9(f2(x1931),f2(x1932))
% 4.79/4.89 [195]~P1(x1951)+~P1(x1952)+P7(x1951,x1952)+~P3(f20(x1952,x1951),x1952)
% 4.79/4.89 [197]P9(x1971,x1972)+~P3(x1972,a37)+~P3(x1971,a37)+~P7(f4(x1971),f4(x1972))
% 4.79/4.89 [198]P9(x1981,x1982)+~P3(x1982,a37)+~P3(x1981,a37)+~P9(f2(x1981),f2(x1982))
% 4.79/4.89 [216]~P9(x2162,x2161)+~P3(x2162,a37)+~P3(x2161,a37)+P7(f5(a41,x2161),f5(a41,x2162))
% 4.79/4.89 [175]P3(x1752,x1751)+~P1(x1751)+~P4(x1752)+E(f32(f31(x1751,x1752),x1752),x1751)
% 4.79/4.89 [183]~E(x1831,x1832)+~P3(x1832,a37)+~P3(x1831,a37)+P3(x1831,f4(f2(x1832)))
% 4.79/4.89 [204]~P3(x2042,a37)+~P3(x2041,a37)+~P3(x2041,f4(x2042))+P3(x2041,f4(f2(x2042)))
% 4.79/4.89 [223]~P3(x2232,a37)+~P3(x2231,a37)+~P9(f2(x2232),x2231)+~E(f38(f5(a41,x2231)),f38(f5(a41,x2232)))
% 4.79/4.89 [203]~P1(x2031)+~P5(x2031)+~P3(x2032,x2031)+E(f2(f7(f32(x2031,x2032))),f7(x2031))
% 4.79/4.89 [237]~P3(x2372,a37)+~P3(x2371,a37)+~P9(f2(x2372),x2371)+P7(f5(a41,x2371),f32(f5(a41,x2372),f38(f5(a41,x2372))))
% 4.79/4.89 [168]~P1(x1682)+~P7(x1683,x1682)+P3(x1681,x1682)+~P3(x1681,x1683)
% 4.79/4.89 [141]~P1(x1412)+~P4(x1413)+P1(x1411)+~E(x1411,f31(x1412,x1413))
% 4.79/4.89 [142]~P1(x1422)+~P4(x1423)+P1(x1421)+~E(x1421,f32(x1422,x1423))
% 4.79/4.89 [143]~P4(x1433)+~P2(x1432)+P1(x1431)+~E(x1431,f29(x1432,x1433))
% 4.79/4.89 [154]~P1(x1542)+P1(x1541)+~P3(x1543,a37)+~E(x1541,f34(x1542,x1543))
% 4.79/4.89 [162]~P3(x1621,x1622)+~P3(x1623,a37)+P3(x1621,a37)+~E(x1622,f4(x1623))
% 4.79/4.89 [170]~P2(x1702)+P1(x1701)+~P7(x1703,f35(x1702))+~E(x1701,f6(x1702,x1703))
% 4.79/4.89 [171]~P2(x1712)+P2(x1711)+~P7(x1713,f35(x1712))+~E(x1711,f30(x1712,x1713))
% 4.79/4.89 [172]~P2(x1723)+~P7(x1722,f35(x1723))+E(f35(x1721),x1722)+~E(x1721,f30(x1723,x1722))
% 4.79/4.89 [177]~P3(x1771,x1773)+~P3(x1772,a37)+P9(f2(x1771),x1772)+~E(x1773,f4(x1772))
% 4.79/4.89 [159]~P1(x1592)+~P1(x1591)+~P7(x1592,x1591)+~P7(x1591,x1592)+E(x1591,x1592)
% 4.79/4.89 [190]~P9(x1902,x1901)+~P9(x1901,x1902)+E(x1901,x1902)+~P3(x1902,a37)+~P3(x1901,a37)
% 4.79/4.89 [148]~P5(x1481)+P3(x1482,x1481)+~E(x1482,f39(x1481))+~P7(x1481,a37)+E(x1481,a33)
% 4.79/4.89 [167]~P1(x1672)+~P6(x1672)+~P3(x1671,a37)+E(x1671,a3)+P6(f34(x1672,x1671))
% 4.79/4.89 [194]~P3(x1942,x1941)+P3(f25(x1941,x1942),x1941)+~P7(x1941,a37)+E(x1941,a33)+E(x1942,f38(x1941))
% 4.79/4.89 [205]~P1(x2051)+~P5(x2051)+~P3(x2052,a37)+~P9(x2052,f7(x2051))+P7(f26(x2051,x2052),x2051)
% 4.79/4.89 [207]~P1(x2071)+P3(f28(x2072,x2071),x2071)+~P3(x2072,a37)+E(x2071,f4(x2072))+P3(f28(x2072,x2071),a37)
% 4.79/4.89 [208]~P3(x2082,x2081)+~P7(x2081,a37)+~P9(x2082,f25(x2081,x2082))+E(x2081,a33)+E(x2082,f38(x2081))
% 4.79/4.89 [215]~P6(x2152)+~P2(x2151)+~E(f10(x2151,x2152),f11(x2151,x2152))+~P7(x2152,f35(x2151))+P6(f6(x2151,x2152))
% 4.79/4.89 [217]~P6(x2172)+~P2(x2171)+P3(f11(x2171,x2172),f35(x2171))+~P7(x2172,f35(x2171))+P6(f6(x2171,x2172))
% 4.79/4.89 [218]~P6(x2182)+~P2(x2181)+P3(f10(x2181,x2182),f35(x2181))+~P7(x2182,f35(x2181))+P6(f6(x2181,x2182))
% 4.79/4.89 [182]P3(x1822,x1821)+~P1(x1821)+~P4(x1822)+~P5(x1821)+E(f7(f31(x1821,x1822)),f2(f7(x1821)))
% 4.79/4.89 [201]~P1(x2011)+~P5(x2011)+~P3(x2012,a37)+~P9(x2012,f7(x2011))+E(f7(f26(x2011,x2012)),x2012)
% 4.79/4.89 [210]E(x2101,x2102)+P3(x2101,f4(x2102))+~P3(x2102,a37)+~P3(x2101,a37)+~P3(x2101,f4(f2(x2102)))
% 4.79/4.89 [221]~P1(x2211)+P3(f28(x2212,x2211),x2211)+~P3(x2212,a37)+E(x2211,f4(x2212))+P9(f2(f28(x2212,x2211)),x2212)
% 4.79/4.89 [222]~P6(x2222)+~P2(x2221)+~P7(x2222,f35(x2221))+P6(f6(x2221,x2222))+E(f5(x2221,f10(x2221,x2222)),f5(x2221,f11(x2221,x2222)))
% 4.79/4.89 [169]~P3(x1693,x1691)+P9(x1692,x1693)+~E(x1692,f38(x1691))+~P7(x1691,a37)+E(x1691,a33)
% 4.79/4.89 [196]P3(x1961,x1962)+~P3(x1963,a37)+~P3(x1961,a37)+~P9(f2(x1961),x1963)+~E(x1962,f4(x1963))
% 4.79/4.89 [227]~P1(x2271)+~P5(x2273)+~P3(x2272,a37)+~P7(x2273,f34(x2271,x2272))+P5(f13(x2271,x2272,x2273))
% 4.79/4.89 [228]~P1(x2281)+~P5(x2283)+~P3(x2282,a37)+~P7(x2283,f34(x2281,x2282))+P7(f13(x2281,x2282,x2283),x2281)
% 4.79/4.89 [245]~P1(x2452)+~P5(x2451)+~P3(x2453,a37)+~P7(x2451,f34(x2452,x2453))+P7(x2451,f34(f13(x2452,x2453,x2451),x2453))
% 4.79/4.89 [163]~P1(x1634)+~P4(x1632)+~P3(x1631,x1633)+~E(x1631,x1632)+~E(x1633,f32(x1634,x1632))
% 4.79/4.89 [165]~P1(x1653)+~P4(x1654)+~P3(x1651,x1652)+P4(x1651)+~E(x1652,f31(x1653,x1654))
% 4.79/4.89 [166]~P1(x1663)+~P4(x1664)+~P3(x1661,x1662)+P4(x1661)+~E(x1662,f32(x1663,x1664))
% 4.79/4.89 [179]~P1(x1792)+~P4(x1794)+~P3(x1791,x1793)+P3(x1791,x1792)+~E(x1793,f32(x1792,x1794))
% 4.79/4.89 [181]~P4(x1813)+~P2(x1811)+~P3(x1812,x1814)+E(f5(x1811,x1812),x1813)+~E(x1814,f29(x1811,x1813))
% 4.79/4.89 [185]~P1(x1854)+~P3(x1851,x1853)+~P3(x1852,a37)+E(f7(x1851),x1852)+~E(x1853,f34(x1854,x1852))
% 4.79/4.89 [187]~P4(x1874)+~P2(x1872)+~P3(x1871,x1873)+P3(x1871,f35(x1872))+~E(x1873,f29(x1872,x1874))
% 4.79/4.89 [191]~P1(x1912)+~P3(x1911,x1913)+P7(x1911,x1912)+~P3(x1914,a37)+~E(x1913,f34(x1912,x1914))
% 4.79/4.89 [209]~P2(x2093)+~P3(x2092,x2094)+~P7(x2094,f35(x2093))+E(f5(x2091,x2092),f5(x2093,x2092))+~E(x2091,f30(x2093,x2094))
% 4.79/4.89 [251]~P2(x2511)+~P3(x2514,x2513)+~E(x2513,f6(x2511,x2512))+~P7(x2512,f35(x2511))+P3(f17(x2511,x2512,x2513,x2514),x2512)
% 4.79/4.90 [252]~P2(x2521)+~P3(x2524,x2523)+~E(x2523,f6(x2521,x2522))+~P7(x2522,f35(x2521))+E(f5(x2521,f17(x2521,x2522,x2523,x2524)),x2524)
% 4.79/4.90 [200]~P5(x2001)+~P3(x2002,x2001)+P3(f27(x2001,x2002),x2001)+~P7(x2001,a37)+E(x2001,a33)+E(x2002,f39(x2001))
% 4.79/4.90 [213]~P5(x2131)+~P3(x2132,x2131)+~P7(x2131,a37)+~P9(f27(x2131,x2132),x2132)+E(x2131,a33)+E(x2132,f39(x2131))
% 4.79/4.90 [232]~P1(x2321)+~P3(x2322,a37)+~P3(f28(x2322,x2321),x2321)+E(x2321,f4(x2322))+~P3(f28(x2322,x2321),a37)+~P9(f2(f28(x2322,x2321)),x2322)
% 4.79/4.90 [186]~P1(x1862)+~P1(x1861)+~P7(x1863,x1862)+~P7(x1861,x1863)+P7(x1861,x1862)+~P1(x1863)
% 4.79/4.90 [214]~P9(x2141,x2143)+P9(x2141,x2142)+~P9(x2143,x2142)+~P3(x2142,a37)+~P3(x2143,a37)+~P3(x2141,a37)
% 4.79/4.90 [178]~P5(x1781)+~P3(x1782,x1781)+P9(x1782,x1783)+~E(x1783,f39(x1781))+~P7(x1781,a37)+E(x1781,a33)
% 4.79/4.90 [226]~P2(x2261)+~P2(x2262)+P3(f12(x2262,x2263,x2261),x2263)+~E(f35(x2261),x2263)+~P7(x2263,f35(x2262))+E(x2261,f30(x2262,x2263))
% 4.79/4.90 [229]~P1(x2291)+~P1(x2292)+~P4(x2293)+P3(f23(x2292,x2293,x2291),x2291)+~E(f23(x2292,x2293,x2291),x2293)+E(x2291,f32(x2292,x2293))
% 4.79/4.90 [230]~P1(x2301)+~P1(x2302)+~P4(x2303)+P3(f24(x2302,x2303,x2301),x2301)+E(x2301,f31(x2302,x2303))+P4(f24(x2302,x2303,x2301))
% 4.79/4.90 [231]~P1(x2311)+~P1(x2312)+~P4(x2313)+P3(f23(x2312,x2313,x2311),x2311)+E(x2311,f32(x2312,x2313))+P4(f23(x2312,x2313,x2311))
% 4.79/4.90 [233]~P1(x2331)+~P1(x2332)+~P4(x2333)+P3(f23(x2332,x2333,x2331),x2331)+P3(f23(x2332,x2333,x2331),x2332)+E(x2331,f32(x2332,x2333))
% 4.79/4.90 [236]~P1(x2361)+~P4(x2363)+~P2(x2362)+P3(f15(x2362,x2363,x2361),x2361)+P3(f15(x2362,x2363,x2361),f35(x2362))+E(x2361,f29(x2362,x2363))
% 4.79/4.90 [238]~P1(x2381)+~P1(x2382)+P3(f14(x2382,x2383,x2381),x2381)+P7(f14(x2382,x2383,x2381),x2382)+~P3(x2383,a37)+E(x2381,f34(x2382,x2383))
% 4.79/4.90 [241]~P1(x2411)+~P2(x2412)+P3(f16(x2412,x2413,x2411),x2411)+P3(f18(x2412,x2413,x2411),x2413)+~P7(x2413,f35(x2412))+E(x2411,f6(x2412,x2413))
% 4.79/4.90 [234]~P1(x2341)+~P4(x2343)+~P2(x2342)+P3(f15(x2342,x2343,x2341),x2341)+E(x2341,f29(x2342,x2343))+E(f5(x2342,f15(x2342,x2343,x2341)),x2343)
% 4.79/4.90 [235]~P1(x2351)+~P1(x2352)+P3(f14(x2352,x2353,x2351),x2351)+~P3(x2353,a37)+E(x2351,f34(x2352,x2353))+E(f7(f14(x2352,x2353,x2351)),x2353)
% 4.79/4.90 [246]~P1(x2461)+~P2(x2462)+P3(f16(x2462,x2463,x2461),x2461)+~P7(x2463,f35(x2462))+E(x2461,f6(x2462,x2463))+E(f5(x2462,f18(x2462,x2463,x2461)),f16(x2462,x2463,x2461))
% 4.79/4.90 [248]~P2(x2482)+~P2(x2481)+~E(f35(x2481),x2483)+~P7(x2483,f35(x2482))+E(x2481,f30(x2482,x2483))+~E(f5(x2481,f12(x2482,x2483,x2481)),f5(x2482,f12(x2482,x2483,x2481)))
% 4.79/4.90 [160]~P1(x1604)+~P4(x1603)+~P4(x1601)+P3(x1601,x1602)+~E(x1601,x1603)+~E(x1602,f31(x1604,x1603))
% 4.79/4.90 [184]~P1(x1843)+~P4(x1842)+~P3(x1841,x1844)+E(x1841,x1842)+P3(x1841,x1843)+~E(x1844,f31(x1843,x1842))
% 4.79/4.90 [188]~P1(x1883)+~P4(x1884)+~P4(x1881)+~P3(x1881,x1883)+P3(x1881,x1882)+~E(x1882,f31(x1883,x1884))
% 4.79/4.90 [199]~P1(x1994)+~P7(x1991,x1994)+P3(x1991,x1992)+~P3(x1993,a37)+~E(x1992,f34(x1994,x1993))+~E(f7(x1991),x1993)
% 4.79/4.90 [206]~P4(x2064)+~P2(x2063)+P3(x2061,x2062)+~E(f5(x2063,x2061),x2064)+~P3(x2061,f35(x2063))+~E(x2062,f29(x2063,x2064))
% 4.79/4.90 [219]~P2(x2193)+~P3(x2195,x2194)+P3(x2191,x2192)+~P7(x2194,f35(x2193))+~E(x2192,f6(x2193,x2194))+~E(f5(x2193,x2195),x2191)
% 4.79/4.90 [211]E(f38(x2112),f38(x2111))+~P7(x2111,a37)+~P7(x2112,a37)+~P3(f38(x2111),x2112)+~P3(f38(x2112),x2111)+E(x2111,a33)+E(x2112,a33)
% 4.79/4.90 [225]~P1(x2253)+~P1(x2252)+P7(x2252,x2253)+~P3(x2251,a37)+~P7(f34(x2252,x2251),f34(x2253,x2251))+E(x2251,a3)+E(f34(x2252,x2251),a33)
% 4.79/4.90 [243]~P1(x2431)+~P1(x2432)+~P4(x2433)+E(f24(x2432,x2433,x2431),x2433)+P3(f24(x2432,x2433,x2431),x2431)+P3(f24(x2432,x2433,x2431),x2432)+E(x2431,f31(x2432,x2433))
% 4.79/4.90 [249]~P1(x2491)+~P1(x2492)+~P4(x2493)+~E(f24(x2492,x2493,x2491),x2493)+~P3(f24(x2492,x2493,x2491),x2491)+E(x2491,f31(x2492,x2493))+~P4(f24(x2492,x2493,x2491))
% 4.79/4.90 [250]~P1(x2501)+~P1(x2502)+~P4(x2503)+~P3(f24(x2502,x2503,x2501),x2501)+~P3(f24(x2502,x2503,x2501),x2502)+E(x2501,f31(x2502,x2503))+~P4(f24(x2502,x2503,x2501))
% 4.79/4.90 [253]~P1(x2531)+~P1(x2532)+~P3(x2533,a37)+~P3(f14(x2532,x2533,x2531),x2531)+~P7(f14(x2532,x2533,x2531),x2532)+E(x2531,f34(x2532,x2533))+~E(f7(f14(x2532,x2533,x2531)),x2533)
% 4.79/4.90 [254]~P1(x2541)+~P4(x2543)+~P2(x2542)+~P3(f15(x2542,x2543,x2541),x2541)+~P3(f15(x2542,x2543,x2541),f35(x2542))+E(x2541,f29(x2542,x2543))+~E(f5(x2542,f15(x2542,x2543,x2541)),x2543)
% 4.79/4.90 [189]~P1(x1894)+~P4(x1892)+~P4(x1891)+~P3(x1891,x1894)+E(x1891,x1892)+P3(x1891,x1893)+~E(x1893,f32(x1894,x1892))
% 4.79/4.90 [247]~P1(x2471)+~P2(x2472)+~P3(x2474,x2473)+~P7(x2473,f35(x2472))+~P3(f16(x2472,x2473,x2471),x2471)+~E(f5(x2472,x2474),f16(x2472,x2473,x2471))+E(x2471,f6(x2472,x2473))
% 4.79/4.90 [255]~P1(x2551)+~P1(x2552)+~P4(x2553)+E(f23(x2552,x2553,x2551),x2553)+~P3(f23(x2552,x2553,x2551),x2551)+~P3(f23(x2552,x2553,x2551),x2552)+E(x2551,f32(x2552,x2553))+~P4(f23(x2552,x2553,x2551))
% 4.79/4.90 [239]~P6(x2392)+~P2(x2393)+~E(f35(x2393),f34(x2392,x2391))+~P3(x2391,a37)+~P7(x2392,a37)+~P8(x2391,a40)+P6(f21(x2391,x2392,x2393))+~P7(f6(x2393,f35(x2393)),a42)
% 4.79/4.90 [240]~P6(x2402)+~P2(x2403)+~E(f35(x2403),f34(x2402,x2401))+~P3(x2401,a37)+~P7(x2402,a37)+~P8(x2401,a40)+P3(f22(x2401,x2402,x2403),a42)+~P7(f6(x2403,f35(x2403)),a42)
% 4.79/4.90 [242]~P6(x2422)+~P2(x2423)+~E(f35(x2423),f34(x2422,x2421))+~P3(x2421,a37)+~P7(x2422,a37)+~P8(x2421,a40)+P7(f21(x2421,x2422,x2423),x2422)+~P7(f6(x2423,f35(x2423)),a42)
% 4.79/4.90 [256]~P6(x2564)+~P2(x2561)+~E(f35(x2561),f34(x2564,x2563))+~P3(x2563,a37)+~P7(x2564,a37)+~P8(x2563,a40)+E(f5(x2561,x2562),f22(x2563,x2564,x2561))+~P3(x2562,f34(f21(x2563,x2564,x2561),x2563))+~P7(f6(x2561,f35(x2561)),a42)
% 4.79/4.90 %EqnAxiom
% 4.79/4.90 [1]E(x11,x11)
% 4.79/4.90 [2]E(x22,x21)+~E(x21,x22)
% 4.79/4.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.79/4.90 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 4.79/4.90 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 4.79/4.90 [6]~E(x61,x62)+E(f35(x61),f35(x62))
% 4.79/4.90 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 4.79/4.90 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 4.79/4.90 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 4.79/4.90 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 4.79/4.90 [11]~E(x111,x112)+E(f16(x111,x113,x114),f16(x112,x113,x114))
% 4.79/4.90 [12]~E(x121,x122)+E(f16(x123,x121,x124),f16(x123,x122,x124))
% 4.79/4.90 [13]~E(x131,x132)+E(f16(x133,x134,x131),f16(x133,x134,x132))
% 4.79/4.90 [14]~E(x141,x142)+E(f14(x141,x143,x144),f14(x142,x143,x144))
% 4.79/4.90 [15]~E(x151,x152)+E(f14(x153,x151,x154),f14(x153,x152,x154))
% 4.79/4.90 [16]~E(x161,x162)+E(f14(x163,x164,x161),f14(x163,x164,x162))
% 4.79/4.90 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173))
% 4.79/4.90 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182))
% 4.79/4.90 [19]~E(x191,x192)+E(f32(x191,x193),f32(x192,x193))
% 4.79/4.90 [20]~E(x201,x202)+E(f32(x203,x201),f32(x203,x202))
% 4.79/4.90 [21]~E(x211,x212)+E(f38(x211),f38(x212))
% 4.79/4.90 [22]~E(x221,x222)+E(f17(x221,x223,x224,x225),f17(x222,x223,x224,x225))
% 4.79/4.90 [23]~E(x231,x232)+E(f17(x233,x231,x234,x235),f17(x233,x232,x234,x235))
% 4.79/4.90 [24]~E(x241,x242)+E(f17(x243,x244,x241,x245),f17(x243,x244,x242,x245))
% 4.79/4.90 [25]~E(x251,x252)+E(f17(x253,x254,x255,x251),f17(x253,x254,x255,x252))
% 4.79/4.90 [26]~E(x261,x262)+E(f24(x261,x263,x264),f24(x262,x263,x264))
% 4.79/4.90 [27]~E(x271,x272)+E(f24(x273,x271,x274),f24(x273,x272,x274))
% 4.79/4.90 [28]~E(x281,x282)+E(f24(x283,x284,x281),f24(x283,x284,x282))
% 4.79/4.90 [29]~E(x291,x292)+E(f7(x291),f7(x292))
% 4.79/4.90 [30]~E(x301,x302)+E(f29(x301,x303),f29(x302,x303))
% 4.79/4.90 [31]~E(x311,x312)+E(f29(x313,x311),f29(x313,x312))
% 4.79/4.90 [32]~E(x321,x322)+E(f28(x321,x323),f28(x322,x323))
% 4.79/4.90 [33]~E(x331,x332)+E(f28(x333,x331),f28(x333,x332))
% 4.79/4.90 [34]~E(x341,x342)+E(f36(x341),f36(x342))
% 4.79/4.90 [35]~E(x351,x352)+E(f13(x351,x353,x354),f13(x352,x353,x354))
% 4.79/4.90 [36]~E(x361,x362)+E(f13(x363,x361,x364),f13(x363,x362,x364))
% 4.79/4.90 [37]~E(x371,x372)+E(f13(x373,x374,x371),f13(x373,x374,x372))
% 4.79/4.90 [38]~E(x381,x382)+E(f21(x381,x383,x384),f21(x382,x383,x384))
% 4.79/4.90 [39]~E(x391,x392)+E(f21(x393,x391,x394),f21(x393,x392,x394))
% 4.79/4.90 [40]~E(x401,x402)+E(f21(x403,x404,x401),f21(x403,x404,x402))
% 4.79/4.90 [41]~E(x411,x412)+E(f8(x411),f8(x412))
% 4.79/4.90 [42]~E(x421,x422)+E(f23(x421,x423,x424),f23(x422,x423,x424))
% 4.79/4.90 [43]~E(x431,x432)+E(f23(x433,x431,x434),f23(x433,x432,x434))
% 4.79/4.90 [44]~E(x441,x442)+E(f23(x443,x444,x441),f23(x443,x444,x442))
% 4.79/4.90 [45]~E(x451,x452)+E(f26(x451,x453),f26(x452,x453))
% 4.79/4.90 [46]~E(x461,x462)+E(f26(x463,x461),f26(x463,x462))
% 4.79/4.90 [47]~E(x471,x472)+E(f27(x471,x473),f27(x472,x473))
% 4.79/4.90 [48]~E(x481,x482)+E(f27(x483,x481),f27(x483,x482))
% 4.79/4.90 [49]~E(x491,x492)+E(f11(x491,x493),f11(x492,x493))
% 4.79/4.90 [50]~E(x501,x502)+E(f11(x503,x501),f11(x503,x502))
% 4.79/4.90 [51]~E(x511,x512)+E(f15(x511,x513,x514),f15(x512,x513,x514))
% 4.79/4.90 [52]~E(x521,x522)+E(f15(x523,x521,x524),f15(x523,x522,x524))
% 4.79/4.90 [53]~E(x531,x532)+E(f15(x533,x534,x531),f15(x533,x534,x532))
% 4.79/4.90 [54]~E(x541,x542)+E(f19(x541),f19(x542))
% 4.79/4.90 [55]~E(x551,x552)+E(f31(x551,x553),f31(x552,x553))
% 4.79/4.90 [56]~E(x561,x562)+E(f31(x563,x561),f31(x563,x562))
% 4.79/4.90 [57]~E(x571,x572)+E(f30(x571,x573),f30(x572,x573))
% 4.79/4.90 [58]~E(x581,x582)+E(f30(x583,x581),f30(x583,x582))
% 4.79/4.90 [59]~E(x591,x592)+E(f39(x591),f39(x592))
% 4.79/4.90 [60]~E(x601,x602)+E(f22(x601,x603,x604),f22(x602,x603,x604))
% 4.79/4.90 [61]~E(x611,x612)+E(f22(x613,x611,x614),f22(x613,x612,x614))
% 4.79/4.90 [62]~E(x621,x622)+E(f22(x623,x624,x621),f22(x623,x624,x622))
% 4.79/4.90 [63]~E(x631,x632)+E(f20(x631,x633),f20(x632,x633))
% 4.79/4.90 [64]~E(x641,x642)+E(f20(x643,x641),f20(x643,x642))
% 4.79/4.90 [65]~E(x651,x652)+E(f10(x651,x653),f10(x652,x653))
% 4.79/4.90 [66]~E(x661,x662)+E(f10(x663,x661),f10(x663,x662))
% 4.79/4.90 [67]~E(x671,x672)+E(f12(x671,x673,x674),f12(x672,x673,x674))
% 4.79/4.90 [68]~E(x681,x682)+E(f12(x683,x681,x684),f12(x683,x682,x684))
% 4.79/4.90 [69]~E(x691,x692)+E(f12(x693,x694,x691),f12(x693,x694,x692))
% 4.79/4.90 [70]~E(x701,x702)+E(f9(x701),f9(x702))
% 4.79/4.90 [71]~E(x711,x712)+E(f25(x711,x713),f25(x712,x713))
% 4.79/4.90 [72]~E(x721,x722)+E(f25(x723,x721),f25(x723,x722))
% 4.79/4.90 [73]~E(x731,x732)+E(f18(x731,x733,x734),f18(x732,x733,x734))
% 4.79/4.90 [74]~E(x741,x742)+E(f18(x743,x741,x744),f18(x743,x742,x744))
% 4.79/4.90 [75]~E(x751,x752)+E(f18(x753,x754,x751),f18(x753,x754,x752))
% 4.79/4.90 [76]~P1(x761)+P1(x762)+~E(x761,x762)
% 4.79/4.90 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 4.79/4.90 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 4.79/4.90 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 4.79/4.90 [80]P9(x802,x803)+~E(x801,x802)+~P9(x801,x803)
% 4.79/4.90 [81]P9(x813,x812)+~E(x811,x812)+~P9(x813,x811)
% 4.79/4.90 [82]~P6(x821)+P6(x822)+~E(x821,x822)
% 4.79/4.90 [83]~P2(x831)+P2(x832)+~E(x831,x832)
% 4.79/4.90 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843)
% 4.79/4.90 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851)
% 4.79/4.90 [86]~P4(x861)+P4(x862)+~E(x861,x862)
% 4.79/4.90 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 4.79/4.90 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 4.79/4.90
% 4.79/4.90 %-------------------------------------------
% 4.79/4.91 cnf(257,plain,
% 4.79/4.91 (E(f38(f5(a41,a45)),f38(f5(a41,a46)))),
% 4.79/4.91 inference(scs_inference,[],[109,2])).
% 4.79/4.91 cnf(258,plain,
% 4.79/4.91 (P9(a3,a3)),
% 4.79/4.91 inference(scs_inference,[],[109,101,2,134])).
% 4.79/4.91 cnf(260,plain,
% 4.79/4.91 (~P3(x2601,f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,101,90,2,134,121])).
% 4.79/4.91 cnf(262,plain,
% 4.79/4.91 (P1(f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,101,90,2,134,121,113])).
% 4.79/4.91 cnf(264,plain,
% 4.79/4.91 (~E(a37,f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,101,90,2,134,121,113,78])).
% 4.79/4.91 cnf(265,plain,
% 4.79/4.91 (P1(a33)),
% 4.79/4.91 inference(scs_inference,[],[109,101,90,2,134,121,113,78,76])).
% 4.79/4.91 cnf(267,plain,
% 4.79/4.91 (~P5(a37)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,111,89,90,2,134,121,113,78,76,3,119])).
% 4.79/4.91 cnf(269,plain,
% 4.79/4.91 (~P6(f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,111,89,90,2,134,121,113,78,76,3,119,116])).
% 4.79/4.91 cnf(271,plain,
% 4.79/4.91 (P9(f2(a3),f2(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,111,89,90,2,134,121,113,78,76,3,119,116,193])).
% 4.79/4.91 cnf(273,plain,
% 4.79/4.91 (P7(f4(a3),f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,111,89,90,2,134,121,113,78,76,3,119,116,193,192])).
% 4.79/4.91 cnf(275,plain,
% 4.79/4.91 (~P9(f2(a45),a46)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223])).
% 4.79/4.91 cnf(277,plain,
% 4.79/4.91 (P9(a3,a40)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128])).
% 4.79/4.91 cnf(279,plain,
% 4.79/4.91 (P7(a37,a37)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120])).
% 4.79/4.91 cnf(281,plain,
% 4.79/4.91 (P7(f5(a41,a3),a37)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155])).
% 4.79/4.91 cnf(283,plain,
% 4.79/4.91 (~P9(f2(a3),a3)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147])).
% 4.79/4.91 cnf(285,plain,
% 4.79/4.91 (P6(f5(a41,a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146])).
% 4.79/4.91 cnf(289,plain,
% 4.79/4.91 (P9(a3,f2(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136])).
% 4.79/4.91 cnf(291,plain,
% 4.79/4.91 (P3(f2(a3),a37)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135])).
% 4.79/4.91 cnf(293,plain,
% 4.79/4.91 (E(f7(f4(a3)),a3)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126])).
% 4.79/4.91 cnf(295,plain,
% 4.79/4.91 (P5(f4(a3))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125])).
% 4.79/4.91 cnf(297,plain,
% 4.79/4.91 (~E(f2(a3),a3)),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123])).
% 4.79/4.91 cnf(301,plain,
% 4.79/4.91 (P4(f7(a37))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118])).
% 4.79/4.91 cnf(303,plain,
% 4.79/4.91 (P1(f35(a44))),
% 4.79/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117])).
% 4.79/4.91 cnf(308,plain,
% 4.79/4.91 (E(f25(x3081,f2(a1)),f25(x3081,a40))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72])).
% 4.90/4.91 cnf(355,plain,
% 4.90/4.91 (E(f17(x3551,x3552,x3553,f2(a1)),f17(x3551,x3552,x3553,a40))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25])).
% 4.90/4.91 cnf(356,plain,
% 4.90/4.91 (E(f17(x3561,x3562,f2(a1),x3563),f17(x3561,x3562,a40,x3563))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24])).
% 4.90/4.91 cnf(357,plain,
% 4.90/4.91 (E(f17(x3571,f2(a1),x3572,x3573),f17(x3571,a40,x3572,x3573))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23])).
% 4.90/4.91 cnf(358,plain,
% 4.90/4.91 (E(f17(f2(a1),x3581,x3582,x3583),f17(a40,x3581,x3582,x3583))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 4.90/4.91 cnf(370,plain,
% 4.90/4.91 (E(f34(x3701,f2(a1)),f34(x3701,a40))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 4.90/4.91 cnf(372,plain,
% 4.90/4.91 (E(f5(x3721,f2(a1)),f5(x3721,a40))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 4.90/4.91 cnf(375,plain,
% 4.90/4.91 (E(f4(f2(a1)),f4(a40))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 4.90/4.91 cnf(379,plain,
% 4.90/4.91 (~P9(f2(a3),f7(f4(a3)))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,97,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81])).
% 4.90/4.91 cnf(380,plain,
% 4.90/4.91 (~E(a3,f2(a3))),
% 4.90/4.91 inference(scs_inference,[],[109,92,96,97,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80])).
% 4.90/4.91 cnf(382,plain,
% 4.90/4.91 (P4(a3)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133])).
% 4.90/4.91 cnf(384,plain,
% 4.90/4.91 (P1(a43)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132])).
% 4.90/4.91 cnf(386,plain,
% 4.90/4.91 (P1(f4(f2(a1)))),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130])).
% 4.90/4.91 cnf(388,plain,
% 4.90/4.91 (~P3(f7(a37),a37)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139])).
% 4.90/4.91 cnf(390,plain,
% 4.90/4.91 (P3(f19(f2(a3)),a37)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138])).
% 4.90/4.91 cnf(392,plain,
% 4.90/4.91 (P3(f7(a33),a37)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138,131])).
% 4.90/4.91 cnf(394,plain,
% 4.90/4.91 (E(f2(f19(f2(a3))),f2(a3))),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138,131,129])).
% 4.90/4.91 cnf(396,plain,
% 4.90/4.91 (P7(f29(a44,f7(a37)),f35(a44))),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138,131,129,158])).
% 4.90/4.91 cnf(400,plain,
% 4.90/4.91 (~P3(f7(a37),a43)),
% 4.90/4.91 inference(scs_inference,[],[109,92,94,96,97,98,101,102,104,105,106,111,89,90,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138,131,129,158,176,168])).
% 4.90/4.91 cnf(402,plain,
% 4.90/4.91 (P5(f6(a44,f35(a44)))),
% 4.90/4.91 inference(scs_inference,[],[109,92,93,94,95,96,97,98,101,102,104,105,106,111,89,90,108,2,134,121,113,78,76,3,119,116,193,192,223,128,120,155,147,146,137,136,135,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,82,81,80,79,133,132,130,139,138,131,129,158,176,168,140])).
% 4.90/4.91 cnf(470,plain,
% 4.90/4.91 (P9(f2(a46),a45)),
% 4.90/4.91 inference(scs_inference,[],[112,275,127])).
% 4.90/4.91 cnf(475,plain,
% 4.90/4.91 (~P9(a40,a3)),
% 4.90/4.91 inference(scs_inference,[],[112,104,105,111,102,101,285,281,277,156,244,190])).
% 4.90/4.91 cnf(477,plain,
% 4.90/4.91 (P4(a1)),
% 4.90/4.91 inference(scs_inference,[],[103,112,104,105,111,102,92,101,285,281,277,156,244,190,133])).
% 4.90/4.91 cnf(479,plain,
% 4.90/4.91 (P1(f6(a44,f35(a44)))),
% 4.90/4.91 inference(scs_inference,[],[103,112,104,105,93,108,111,102,92,101,285,281,277,156,244,190,133,132])).
% 4.90/4.91 cnf(481,plain,
% 4.90/4.91 (~P6(a42)),
% 4.90/4.91 inference(scs_inference,[],[103,112,104,105,93,95,108,111,102,92,101,285,281,277,156,244,190,133,132,119])).
% 4.90/4.91 cnf(483,plain,
% 4.90/4.91 (~E(a43,a33)),
% 4.90/4.91 inference(scs_inference,[],[103,112,97,104,105,93,95,108,111,102,92,101,285,281,277,384,156,244,190,133,132,119,116])).
% 4.90/4.91 cnf(485,plain,
% 4.90/4.91 (P3(f7(a42),a37)),
% 4.90/4.91 inference(scs_inference,[],[103,112,97,104,105,93,95,108,111,102,92,101,285,281,277,384,156,244,190,133,132,119,116,131])).
% 4.90/4.91 cnf(487,plain,
% 4.90/4.91 (P3(f8(a43),a43)),
% 4.90/4.91 inference(scs_inference,[],[103,112,97,104,105,93,95,108,111,102,92,101,285,281,277,384,156,244,190,133,132,119,116,131,124])).
% 4.90/4.91 cnf(489,plain,
% 4.90/4.91 (P7(f29(a41,f7(a37)),f35(a41))),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,102,92,101,285,301,281,277,384,156,244,190,133,132,119,116,131,124,158])).
% 4.90/4.91 cnf(495,plain,
% 4.90/4.91 (P7(f5(a41,a40),f5(a41,a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,102,92,101,285,301,281,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216])).
% 4.90/4.91 cnf(503,plain,
% 4.90/4.91 (E(f32(f31(f4(a3),f7(a37)),f7(a37)),f4(a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,102,92,101,285,260,271,262,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175])).
% 4.90/4.91 cnf(504,plain,
% 4.90/4.91 (~P3(x5041,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(508,plain,
% 4.90/4.91 (~E(a37,f32(f4(a3),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,102,92,101,285,260,504,271,262,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179])).
% 4.90/4.91 cnf(509,plain,
% 4.90/4.91 (~P3(x5091,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(511,plain,
% 4.90/4.91 (~E(a37,a33)),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,102,92,101,285,260,504,271,262,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121])).
% 4.90/4.91 cnf(514,plain,
% 4.90/4.91 (P7(f4(a3),a33)),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,90,102,92,101,285,260,504,271,262,273,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85])).
% 4.90/4.91 cnf(515,plain,
% 4.90/4.91 (~P6(f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,90,102,92,101,285,260,504,271,262,269,273,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82])).
% 4.90/4.91 cnf(516,plain,
% 4.90/4.91 (~P9(f2(a1),a3)),
% 4.90/4.91 inference(scs_inference,[],[99,103,112,97,104,105,93,95,108,111,90,102,92,101,89,285,260,504,271,262,269,273,301,281,291,388,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80])).
% 4.90/4.91 cnf(517,plain,
% 4.90/4.91 (~P5(f35(a41))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,90,102,92,101,89,285,260,504,271,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79])).
% 4.90/4.91 cnf(518,plain,
% 4.90/4.91 (~P3(x5181,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,90,102,92,101,89,285,260,504,509,271,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78])).
% 4.90/4.91 cnf(520,plain,
% 4.90/4.91 (~E(a37,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,90,102,92,101,89,285,260,504,509,271,386,264,375,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3])).
% 4.90/4.91 cnf(523,plain,
% 4.90/4.91 (~P7(a37,f6(a44,f35(a44)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,90,102,92,101,89,285,260,504,509,271,386,264,375,402,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140])).
% 4.90/4.91 cnf(538,plain,
% 4.90/4.91 (P9(f2(f2(a3)),f2(f2(a3)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,375,402,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193])).
% 4.90/4.91 cnf(542,plain,
% 4.90/4.91 (P3(f28(a3,a37),a37)),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,297,375,402,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207])).
% 4.90/4.91 cnf(545,plain,
% 4.90/4.91 (P7(a33,f4(a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,297,375,402,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84])).
% 4.90/4.91 cnf(548,plain,
% 4.90/4.91 (P9(f2(a3),a40)),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,297,375,402,262,269,273,301,281,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180])).
% 4.90/4.91 cnf(550,plain,
% 4.90/4.91 (~E(a37,f4(a46))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,297,375,402,262,269,273,301,281,275,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177])).
% 4.90/4.91 cnf(554,plain,
% 4.90/4.91 (P7(f4(a3),a42)),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,271,386,264,297,375,402,262,269,273,301,281,275,291,388,267,277,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173])).
% 4.90/4.91 cnf(555,plain,
% 4.90/4.91 (~P3(x5551,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(562,plain,
% 4.90/4.91 (~P3(x5621,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(566,plain,
% 4.90/4.91 (~E(f4(a3),f34(f4(a3),a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,271,386,293,264,297,375,402,262,269,273,301,281,275,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199])).
% 4.90/4.91 cnf(567,plain,
% 4.90/4.91 (~P3(x5671,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(569,plain,
% 4.90/4.91 (E(f4(a3),f32(f4(a3),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,567,271,386,293,264,297,375,402,262,269,273,301,281,275,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199,233])).
% 4.90/4.91 cnf(572,plain,
% 4.90/4.91 (~P9(f2(f28(a3,a37)),a3)),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,567,271,386,293,264,297,375,402,262,269,273,301,281,275,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199,233,232])).
% 4.90/4.91 cnf(574,plain,
% 4.90/4.91 (P1(f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,567,271,386,293,264,297,375,402,262,269,273,301,281,275,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199,233,232,130])).
% 4.90/4.91 cnf(576,plain,
% 4.90/4.91 (~P7(f4(f2(a3)),f4(a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,567,271,386,293,264,297,375,402,262,269,273,301,281,275,283,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199,233,232,130,197])).
% 4.90/4.91 cnf(580,plain,
% 4.90/4.91 (~P9(f2(f2(a3)),f2(a3))),
% 4.90/4.91 inference(scs_inference,[],[99,103,91,112,97,104,105,93,95,108,111,96,90,102,92,101,89,285,370,260,504,509,555,562,567,271,386,293,264,297,375,402,262,269,273,301,281,275,283,291,388,265,267,277,279,384,156,244,190,133,132,119,116,131,124,158,168,164,216,192,161,223,175,224,179,121,2,85,82,80,79,78,76,3,176,140,154,153,152,151,150,149,193,167,207,21,84,77,83,180,177,195,173,144,169,210,186,199,233,232,130,197,115,198])).
% 4.90/4.91 cnf(612,plain,
% 4.90/4.91 (P7(f14(f4(a3),a3,f4(a3)),f4(a3))),
% 4.90/4.91 inference(scs_inference,[],[101,566,260,262,238])).
% 4.90/4.91 cnf(613,plain,
% 4.90/4.91 (~P3(x6131,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(616,plain,
% 4.90/4.91 (~P3(x6161,f4(a3))),
% 4.90/4.91 inference(rename_variables,[],[260])).
% 4.90/4.91 cnf(618,plain,
% 4.90/4.91 (~E(f32(f31(f4(a3),f7(a37)),f7(a37)),f34(a33,a3))),
% 4.90/4.91 inference(scs_inference,[],[101,518,566,514,293,260,613,265,262,238,235,199])).
% 4.90/4.91 cnf(619,plain,
% 4.90/4.91 (~P3(x6191,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(623,plain,
% 4.90/4.91 (~P3(x6231,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(630,plain,
% 4.90/4.91 (~P3(x6301,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(634,plain,
% 4.90/4.91 (~E(f7(a37),f38(a43))),
% 4.90/4.91 inference(scs_inference,[],[106,105,111,94,95,102,93,101,574,518,619,623,400,566,514,382,483,293,260,613,616,265,262,238,235,199,233,156,119,124,164,144])).
% 4.90/4.91 cnf(636,plain,
% 4.90/4.91 (P7(f32(f31(f4(a3),f7(a37)),f7(a37)),a42)),
% 4.90/4.91 inference(scs_inference,[],[106,105,111,94,95,102,93,101,574,518,619,623,630,400,566,514,382,483,293,260,613,616,265,262,238,235,199,233,156,119,124,164,144,173])).
% 4.90/4.91 cnf(637,plain,
% 4.90/4.91 (~P3(x6371,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(639,plain,
% 4.90/4.91 (~P9(f2(a46),a3)),
% 4.90/4.91 inference(scs_inference,[],[106,105,111,94,95,102,93,101,574,518,619,623,630,637,503,400,566,514,382,483,293,260,613,616,265,262,238,235,199,233,156,119,124,164,144,173,196])).
% 4.90/4.91 cnf(640,plain,
% 4.90/4.91 (~P3(x6401,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(642,plain,
% 4.90/4.91 (~P7(a37,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(scs_inference,[],[106,105,111,94,95,102,93,101,574,518,619,623,630,637,640,503,400,566,514,382,483,293,260,613,616,265,262,238,235,199,233,156,119,124,164,144,173,196,168])).
% 4.90/4.91 cnf(643,plain,
% 4.90/4.91 (~P3(x6431,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.91 inference(rename_variables,[],[518])).
% 4.90/4.91 cnf(653,plain,
% 4.90/4.91 (P7(f5(a41,a3),f5(a41,a3))),
% 4.90/4.91 inference(scs_inference,[],[106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,503,400,566,514,382,483,293,260,613,616,265,384,262,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216])).
% 4.90/4.91 cnf(655,plain,
% 4.90/4.91 (P9(f7(f4(a3)),f7(a33))),
% 4.90/4.91 inference(scs_inference,[],[106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,503,400,566,514,382,483,293,260,613,616,265,384,262,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161])).
% 4.90/4.91 cnf(657,plain,
% 4.90/4.91 (E(f32(f31(a43,f7(a37)),f7(a37)),a43)),
% 4.90/4.91 inference(scs_inference,[],[106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,503,400,566,514,382,483,293,260,613,616,265,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175])).
% 4.90/4.91 cnf(659,plain,
% 4.90/4.92 (~E(a37,f32(f32(f31(f4(a3),f7(a37)),f7(a37)),a3))),
% 4.90/4.92 inference(scs_inference,[],[106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,643,503,400,566,514,382,483,293,260,613,616,265,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179])).
% 4.90/4.92 cnf(662,plain,
% 4.90/4.92 (E(a43,f5(a41,a3))),
% 4.90/4.92 inference(scs_inference,[],[100,106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,643,503,400,566,514,382,483,293,260,613,616,265,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2])).
% 4.90/4.92 cnf(663,plain,
% 4.90/4.92 (~P7(f4(f2(a3)),f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(scs_inference,[],[100,106,97,105,111,94,95,102,93,101,258,574,518,619,623,630,637,640,643,576,503,400,566,514,382,483,293,260,613,616,265,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85])).
% 4.90/4.92 cnf(669,plain,
% 4.90/4.92 (~E(a33,f4(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[100,106,97,105,111,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,576,580,503,400,566,295,289,514,545,382,483,293,260,613,616,265,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84])).
% 4.90/4.92 cnf(671,plain,
% 4.90/4.92 (~P3(f7(a37),f35(a41))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,576,580,569,503,400,566,295,289,514,545,382,483,293,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78])).
% 4.90/4.92 cnf(673,plain,
% 4.90/4.92 (~P9(f2(f2(a3)),f2(f19(f2(a3))))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81])).
% 4.90/4.92 cnf(674,plain,
% 4.90/4.92 (~E(a33,f34(f4(a3),a3))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3])).
% 4.90/4.92 cnf(675,plain,
% 4.90/4.92 (E(f38(f5(a41,a3)),f38(a43))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21])).
% 4.90/4.92 cnf(676,plain,
% 4.90/4.92 (P3(a46,f4(f2(a46)))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183])).
% 4.90/4.92 cnf(681,plain,
% 4.90/4.92 (E(f7(f32(f31(f4(a3),f7(a37)),f7(a37))),a3)),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,370,260,613,616,265,388,267,384,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183,191,114])).
% 4.90/4.92 cnf(687,plain,
% 4.90/4.92 (E(a33,f4(a3))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,370,260,613,616,265,388,267,384,291,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183,191,114,169,177,159])).
% 4.90/4.92 cnf(689,plain,
% 4.90/4.92 (P9(a3,a46)),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,370,260,613,616,265,388,267,384,291,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183,191,114,169,177,159,180])).
% 4.90/4.92 cnf(691,plain,
% 4.90/4.92 (P7(f4(a3),f4(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,382,483,293,370,260,613,616,265,388,267,384,291,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183,191,114,169,177,159,180,192])).
% 4.90/4.92 cnf(693,plain,
% 4.90/4.92 (P3(f28(a46,a37),a37)),
% 4.90/4.92 inference(scs_inference,[],[100,91,106,97,105,111,90,94,95,102,93,92,101,258,574,518,619,623,630,637,640,643,394,576,580,569,503,400,566,295,289,487,514,545,550,382,483,293,370,260,613,616,265,388,267,384,291,262,301,238,235,199,233,156,119,124,164,144,173,196,168,152,151,150,149,216,161,175,179,2,85,80,153,140,84,79,78,77,81,3,21,183,191,114,169,177,159,180,192,207])).
% 4.90/4.92 cnf(717,plain,
% 4.90/4.92 (E(f34(x7171,f2(a1)),f34(x7171,a40))),
% 4.90/4.92 inference(rename_variables,[],[370])).
% 4.90/4.92 cnf(719,plain,
% 4.90/4.92 (P7(f14(a33,a3,f32(f31(f4(a3),f7(a37)),f7(a37))),a33)),
% 4.90/4.92 inference(scs_inference,[],[102,101,618,663,518,370,574,265,191,238])).
% 4.90/4.92 cnf(720,plain,
% 4.90/4.92 (~P3(x7201,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(rename_variables,[],[518])).
% 4.90/4.92 cnf(722,plain,
% 4.90/4.92 (E(f19(f2(a3)),a3)),
% 4.90/4.92 inference(scs_inference,[],[102,101,618,663,390,518,394,370,574,265,191,238,156])).
% 4.90/4.92 cnf(726,plain,
% 4.90/4.92 (P3(f38(f5(a41,a3)),a43)),
% 4.90/4.92 inference(scs_inference,[],[106,102,101,618,663,479,675,390,518,394,370,402,483,574,265,191,238,156,119,144])).
% 4.90/4.92 cnf(730,plain,
% 4.90/4.92 (~P3(a1,a33)),
% 4.90/4.92 inference(scs_inference,[],[106,102,92,101,511,618,663,479,675,516,687,390,518,394,370,402,483,574,265,191,238,156,119,144,124,177])).
% 4.90/4.92 cnf(732,plain,
% 4.90/4.92 (~P9(f2(a45),a3)),
% 4.90/4.92 inference(scs_inference,[],[106,104,102,92,101,511,618,663,479,675,516,687,390,518,720,394,370,402,503,483,574,265,191,238,156,119,144,124,177,196])).
% 4.90/4.92 cnf(733,plain,
% 4.90/4.92 (~P3(x7331,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(rename_variables,[],[518])).
% 4.90/4.92 cnf(736,plain,
% 4.90/4.92 (~P3(x7361,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(rename_variables,[],[518])).
% 4.90/4.92 cnf(744,plain,
% 4.90/4.92 (~E(a37,f32(f32(f31(f4(a3),f7(a37)),f7(a37)),a1))),
% 4.90/4.92 inference(scs_inference,[],[106,104,103,102,92,101,511,618,663,479,675,516,642,659,687,477,390,518,720,733,736,394,370,402,503,487,483,574,265,382,191,238,156,119,144,124,177,196,233,168,180,173,179])).
% 4.90/4.92 cnf(745,plain,
% 4.90/4.92 (~P3(x7451,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(rename_variables,[],[518])).
% 4.90/4.92 cnf(747,plain,
% 4.90/4.92 (~P9(f2(a3),f19(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[106,104,103,102,92,101,511,618,663,479,673,675,516,642,659,687,477,390,518,720,733,736,394,370,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193])).
% 4.90/4.92 cnf(750,plain,
% 4.90/4.92 (~E(a40,a3)),
% 4.90/4.92 inference(scs_inference,[],[91,111,106,104,103,102,92,101,511,618,663,479,673,675,516,489,642,659,687,477,390,518,720,733,736,394,370,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2])).
% 4.90/4.92 cnf(751,plain,
% 4.90/4.92 (~P7(f35(a41),a42)),
% 4.90/4.92 inference(scs_inference,[],[91,111,106,104,103,95,102,93,92,101,511,618,663,479,673,675,516,489,517,642,659,687,477,390,518,720,733,736,394,370,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140])).
% 4.90/4.92 cnf(757,plain,
% 4.90/4.92 (~P7(f35(a41),f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(scs_inference,[],[107,91,111,106,104,103,95,102,93,92,101,511,618,663,479,673,675,516,489,517,642,659,639,687,477,390,518,720,733,736,394,258,370,717,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140,80,3,79,84])).
% 4.90/4.92 cnf(761,plain,
% 4.90/4.92 (P3(f38(a43),a43)),
% 4.90/4.92 inference(scs_inference,[],[107,91,111,106,104,103,95,102,93,92,101,511,618,663,479,673,538,675,676,516,489,517,642,659,639,687,477,390,518,720,733,736,745,394,258,370,717,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140,80,3,79,84,81,78,77])).
% 4.90/4.92 cnf(764,plain,
% 4.90/4.92 (~P9(f2(f28(a46,a37)),a46)),
% 4.90/4.92 inference(scs_inference,[],[107,91,111,106,104,103,95,102,105,93,92,101,511,618,663,479,673,538,675,676,516,489,517,642,659,639,687,693,477,390,518,720,733,736,745,394,550,258,370,717,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140,80,3,79,84,81,78,77,228,232])).
% 4.90/4.92 cnf(766,plain,
% 4.90/4.92 (~E(f2(a3),f19(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[107,91,111,106,104,103,95,102,105,93,92,101,511,618,663,479,673,538,675,676,516,489,517,642,659,639,687,693,477,390,518,720,733,736,745,394,550,258,370,717,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140,80,3,79,84,81,78,77,228,232,4])).
% 4.90/4.92 cnf(767,plain,
% 4.90/4.92 (~E(f4(f2(a46)),a33)),
% 4.90/4.92 inference(scs_inference,[],[107,91,111,106,104,103,95,102,105,93,92,101,511,618,663,479,673,538,675,676,516,489,517,642,659,639,687,693,477,390,518,720,733,736,745,394,550,258,370,717,402,503,487,483,574,265,382,291,191,238,156,119,144,124,177,196,233,168,180,173,179,193,85,2,140,80,3,79,84,81,78,77,228,232,4,121])).
% 4.90/4.92 cnf(784,plain,
% 4.90/4.92 (P3(f19(f2(a3)),f4(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[101,722,390,183])).
% 4.90/4.92 cnf(788,plain,
% 4.90/4.92 (~P3(a40,f4(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[102,93,101,722,554,750,260,545,390,265,262,183,186,210])).
% 4.90/4.92 cnf(789,plain,
% 4.90/4.92 (~P3(x7891,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(796,plain,
% 4.90/4.92 (P3(f19(f2(a3)),f4(f2(f2(a3))))),
% 4.90/4.92 inference(scs_inference,[],[94,102,93,101,757,722,554,730,750,260,545,477,390,370,265,574,262,291,183,186,210,191,182,204])).
% 4.90/4.92 cnf(800,plain,
% 4.90/4.92 (E(f2(f19(a40)),a40)),
% 4.90/4.92 inference(scs_inference,[],[94,102,93,101,757,722,554,730,750,260,545,477,390,370,265,574,262,291,183,186,210,191,182,204,138,129])).
% 4.90/4.92 cnf(805,plain,
% 4.90/4.92 (~P3(x8051,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(810,plain,
% 4.90/4.92 (P7(f32(f31(f4(a3),f7(a37)),f7(a37)),f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 4.90/4.92 inference(scs_inference,[],[107,94,102,105,93,92,101,757,508,764,722,554,732,730,750,693,687,518,260,789,545,477,390,370,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173])).
% 4.90/4.92 cnf(813,plain,
% 4.90/4.92 (~P5(a43)),
% 4.90/4.92 inference(scs_inference,[],[107,97,94,102,105,93,92,101,757,508,764,722,554,732,730,750,693,687,518,260,789,545,477,390,370,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119])).
% 4.90/4.92 cnf(815,plain,
% 4.90/4.92 (~P3(x8151,f14(f4(a3),a3,f4(a3)))),
% 4.90/4.92 inference(scs_inference,[],[107,97,94,102,105,93,92,101,757,508,612,764,722,554,732,730,750,693,687,518,260,789,805,545,477,390,370,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168])).
% 4.90/4.92 cnf(817,plain,
% 4.90/4.92 (E(a40,f2(a1))),
% 4.90/4.92 inference(scs_inference,[],[89,107,97,94,102,105,93,92,101,757,508,612,764,722,554,732,730,750,693,687,518,260,789,805,545,477,390,370,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2])).
% 4.90/4.92 cnf(818,plain,
% 4.90/4.92 (~P7(f35(a41),f6(a44,f35(a44)))),
% 4.90/4.92 inference(scs_inference,[],[89,107,97,94,102,105,93,92,101,757,508,612,764,722,554,732,730,750,479,693,687,518,260,789,805,545,517,477,390,370,402,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2,140])).
% 4.90/4.92 cnf(825,plain,
% 4.90/4.92 (~P9(f2(f19(f2(a3))),f19(f2(a3)))),
% 4.90/4.92 inference(scs_inference,[],[89,107,100,97,108,94,102,105,93,92,101,653,757,508,747,612,634,764,722,548,554,732,751,730,750,479,693,687,518,394,260,789,805,545,517,477,390,675,370,402,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2,140,85,84,81,3,79,80])).
% 4.90/4.92 cnf(827,plain,
% 4.90/4.92 (~P3(x8271,a33)),
% 4.90/4.92 inference(scs_inference,[],[89,107,100,97,108,94,102,105,93,92,101,653,757,508,747,612,634,764,722,548,554,732,751,730,750,479,693,687,518,394,260,789,805,545,517,477,390,675,370,402,388,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2,140,85,84,81,3,79,80,77,78])).
% 4.90/4.92 cnf(830,plain,
% 4.90/4.92 (P9(a3,f28(a46,a37))),
% 4.90/4.92 inference(scs_inference,[],[89,107,100,97,108,103,94,102,105,93,92,101,653,757,508,747,612,634,764,722,548,554,732,751,689,730,750,511,479,693,687,518,394,260,789,805,545,279,517,477,390,675,370,402,388,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2,140,85,84,81,3,79,80,77,78,194,214])).
% 4.90/4.92 cnf(832,plain,
% 4.90/4.92 (P9(f38(f5(a41,a3)),f38(f5(a41,a3)))),
% 4.90/4.92 inference(scs_inference,[],[89,107,100,97,108,106,103,94,102,105,93,92,101,653,757,508,747,612,634,726,764,722,548,554,732,751,689,730,750,511,479,693,687,518,394,260,789,805,545,279,517,477,390,675,370,402,388,483,384,265,301,574,262,291,183,186,210,191,182,204,138,129,177,233,180,4,173,119,168,2,140,85,84,81,3,79,80,77,78,194,214,169])).
% 4.90/4.92 cnf(849,plain,
% 4.90/4.92 (~P3(f7(a43),a37)),
% 4.90/4.92 inference(scs_inference,[],[813,384,139])).
% 4.90/4.92 cnf(851,plain,
% 4.90/4.92 (~E(a40,f38(a37))),
% 4.90/4.92 inference(scs_inference,[],[101,475,813,511,279,384,139,169])).
% 4.90/4.92 cnf(858,plain,
% 4.90/4.92 (~P3(x8581,a33)),
% 4.90/4.92 inference(rename_variables,[],[827])).
% 4.90/4.92 cnf(866,plain,
% 4.90/4.92 (~P5(f5(a41,a3))),
% 4.90/4.92 inference(scs_inference,[],[100,103,94,101,520,475,719,825,784,827,830,813,523,747,511,693,279,390,384,265,291,139,169,177,180,168,193,2,140,85,79])).
% 4.90/4.92 cnf(873,plain,
% 4.90/4.92 (P9(f38(a43),f38(f5(a41,a3)))),
% 4.90/4.92 inference(scs_inference,[],[89,100,103,94,101,832,520,810,475,355,356,719,825,784,827,830,788,817,813,523,663,747,511,277,693,279,390,675,384,265,291,139,169,177,180,168,193,2,140,85,79,3,77,84,81,80])).
% 4.90/4.92 cnf(879,plain,
% 4.90/4.92 (~P9(a40,f25(a37,a40))),
% 4.90/4.92 inference(scs_inference,[],[89,100,98,103,94,102,101,815,832,520,810,475,355,356,719,372,825,784,827,830,657,788,817,813,523,663,747,396,511,277,693,279,400,390,675,384,265,291,139,169,177,180,168,193,2,140,85,79,3,77,84,81,80,78,219,208])).
% 4.90/4.92 cnf(884,plain,
% 4.90/4.92 (P9(f19(f2(a3)),a3)),
% 4.90/4.92 inference(scs_inference,[],[89,100,98,103,94,102,101,815,832,520,810,475,355,356,719,372,825,784,827,858,830,657,788,817,813,523,663,747,396,511,277,693,279,400,390,675,384,382,265,291,139,169,177,180,168,193,2,140,85,79,3,77,84,81,80,78,219,208,182,198])).
% 4.90/4.92 cnf(897,plain,
% 4.90/4.92 (~P3(x8971,a33)),
% 4.90/4.92 inference(rename_variables,[],[827])).
% 4.90/4.92 cnf(901,plain,
% 4.90/4.92 (~P9(f2(a40),a3)),
% 4.90/4.92 inference(scs_inference,[],[102,93,827,669,265,291,221,120,147])).
% 4.90/4.92 cnf(907,plain,
% 4.90/4.92 (~E(f2(a1),a3)),
% 4.90/4.92 inference(scs_inference,[],[103,102,93,827,669,265,291,221,120,147,126,125,122])).
% 4.90/4.92 cnf(909,plain,
% 4.90/4.92 (P9(a1,a1)),
% 4.90/4.92 inference(scs_inference,[],[103,102,93,827,669,265,291,221,120,147,126,125,122,134])).
% 4.90/4.92 cnf(919,plain,
% 4.90/4.92 (P4(f7(a42))),
% 4.90/4.92 inference(scs_inference,[],[103,102,93,827,669,265,291,221,120,147,126,125,122,134,146,137,136,123,118])).
% 4.90/4.92 cnf(921,plain,
% 4.90/4.92 (P1(f35(a41))),
% 4.90/4.92 inference(scs_inference,[],[99,103,102,93,827,669,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117])).
% 4.90/4.92 cnf(950,plain,
% 4.90/4.92 (E(f24(x9501,x9502,f4(a3)),f24(x9501,x9502,a33))),
% 4.90/4.92 inference(scs_inference,[],[90,99,103,102,93,827,669,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28])).
% 4.90/4.92 cnf(956,plain,
% 4.90/4.92 (E(f34(f4(a3),x9561),f34(a33,x9561))),
% 4.90/4.92 inference(scs_inference,[],[90,99,103,102,93,827,669,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9])).
% 4.90/4.92 cnf(959,plain,
% 4.90/4.92 (~P3(x9591,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(961,plain,
% 4.90/4.92 (~E(f4(a3),f34(a42,a3))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,102,93,92,101,636,681,827,669,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199])).
% 4.90/4.92 cnf(962,plain,
% 4.90/4.92 (~P3(x9621,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(964,plain,
% 4.90/4.92 (P9(a3,a45)),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,636,681,827,669,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128])).
% 4.90/4.92 cnf(968,plain,
% 4.90/4.92 (P3(f2(a1),a37)),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,636,681,827,669,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135])).
% 4.90/4.92 cnf(972,plain,
% 4.90/4.92 (~P3(f20(f6(a44,f35(a44)),f35(a41)),f6(a44,f35(a44)))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,681,827,669,817,479,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195])).
% 4.90/4.92 cnf(974,plain,
% 4.90/4.92 (P7(f5(a41,f2(a1)),f32(f5(a41,a1),f38(f5(a41,a1))))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,681,827,669,817,479,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244])).
% 4.90/4.92 cnf(984,plain,
% 4.90/4.92 (E(f31(f4(a3),x9841),f31(a33,x9841))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,681,827,669,817,479,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55])).
% 4.90/4.92 cnf(995,plain,
% 4.90/4.92 (E(f7(f4(a3)),f7(a33))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,681,827,669,817,479,477,265,291,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29])).
% 4.90/4.92 cnf(1010,plain,
% 4.90/4.92 (P8(a1,a40)),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,681,827,669,817,479,477,265,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88])).
% 4.90/4.92 cnf(1011,plain,
% 4.90/4.92 (P7(f14(f4(a3),a3,a33),f4(a3))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,674,681,827,897,669,817,479,477,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238])).
% 4.90/4.92 cnf(1012,plain,
% 4.90/4.92 (~P3(x10121,a33)),
% 4.90/4.92 inference(rename_variables,[],[827])).
% 4.90/4.92 cnf(1017,plain,
% 4.90/4.92 (~P3(f2(a1),f31(f4(a3),a1))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,99,103,104,102,93,92,101,818,636,674,681,827,897,1012,669,817,479,477,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184])).
% 4.90/4.92 cnf(1018,plain,
% 4.90/4.92 (~P3(x10181,a33)),
% 4.90/4.92 inference(rename_variables,[],[827])).
% 4.90/4.92 cnf(1026,plain,
% 4.90/4.92 (~P3(x10261,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1030,plain,
% 4.90/4.92 (P3(f20(f6(a44,f35(a44)),f35(a41)),f35(a41))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,962,99,103,104,102,93,92,101,818,636,674,572,681,372,827,897,1012,669,817,479,747,511,477,279,390,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173])).
% 4.90/4.92 cnf(1032,plain,
% 4.90/4.92 (~P3(x10321,f32(f4(a3),a1))),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,962,99,103,104,102,93,92,101,818,636,674,572,681,372,827,897,1012,1018,669,817,479,747,511,477,279,390,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179])).
% 4.90/4.92 cnf(1037,plain,
% 4.90/4.92 (~P3(x10371,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1041,plain,
% 4.90/4.92 (~P7(f5(a41,a3),a33)),
% 4.90/4.92 inference(scs_inference,[],[90,260,959,962,1026,99,103,104,94,102,93,92,101,866,818,636,674,542,572,681,372,827,897,1012,1018,669,817,479,747,511,477,279,390,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140])).
% 4.90/4.92 cnf(1046,plain,
% 4.90/4.92 (P3(a3,f4(f2(f2(a3))))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,99,103,104,94,102,93,92,101,866,796,818,636,767,674,542,572,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77])).
% 4.90/4.92 cnf(1052,plain,
% 4.90/4.92 (~E(f4(f2(f2(a3))),f4(a3))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,99,103,104,94,102,93,92,101,866,796,818,308,636,767,800,674,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78])).
% 4.90/4.92 cnf(1053,plain,
% 4.90/4.92 (~P3(x10531,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1056,plain,
% 4.90/4.92 (P4(f24(a37,a1,f4(a3)))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230])).
% 4.90/4.92 cnf(1059,plain,
% 4.90/4.92 (~P9(f2(a1),a1)),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190])).
% 4.90/4.92 cnf(1061,plain,
% 4.90/4.92 (P4(f24(a37,a1,a33))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190,86])).
% 4.90/4.92 cnf(1066,plain,
% 4.90/4.92 (P1(f31(f4(a3),a1))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190,86,174,212,141])).
% 4.90/4.92 cnf(1070,plain,
% 4.90/4.92 (P1(f32(f4(a3),a1))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,851,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190,86,174,212,141,194,142])).
% 4.90/4.92 cnf(1072,plain,
% 4.90/4.92 (E(f7(f14(f4(a3),a3,a33)),a3)),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,851,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190,86,174,212,141,194,142,235])).
% 4.90/4.92 cnf(1077,plain,
% 4.90/4.92 (P1(f34(f4(a3),a1))),
% 4.90/4.92 inference(scs_inference,[],[90,107,260,959,962,1026,1037,1053,99,103,104,94,102,93,92,101,866,796,818,308,636,744,767,800,674,380,851,879,542,572,691,681,722,372,827,897,1012,1018,669,817,612,479,747,511,477,279,390,574,265,262,291,89,221,120,147,126,125,122,134,146,137,136,123,118,117,75,71,69,68,67,66,64,63,61,60,59,57,53,52,51,50,49,48,47,44,43,42,36,34,33,31,30,28,24,23,14,11,10,9,6,188,199,128,155,135,183,195,244,74,73,72,70,65,62,58,56,55,54,46,45,41,40,39,38,37,35,32,29,27,26,25,22,20,19,18,17,16,15,13,12,7,5,88,238,224,8,184,82,169,233,177,173,179,180,168,193,140,2,85,3,77,81,79,84,80,78,231,230,190,86,174,212,141,194,142,235,210,154])).
% 4.90/4.92 cnf(1092,plain,
% 4.90/4.92 (P3(f7(f4(a3)),a37)),
% 4.90/4.92 inference(scs_inference,[],[303,396,295,262,132,131])).
% 4.90/4.92 cnf(1096,plain,
% 4.90/4.92 (P7(f29(a44,f24(a37,a1,f4(a3))),f35(a44))),
% 4.90/4.92 inference(scs_inference,[],[98,104,92,1056,303,396,295,262,132,131,133,158])).
% 4.90/4.92 cnf(1106,plain,
% 4.90/4.92 (~P3(x11061,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1109,plain,
% 4.90/4.92 (~P3(x11091,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1113,plain,
% 4.90/4.92 (~P3(x11131,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1121,plain,
% 4.90/4.92 (~P3(x11211,f32(f4(a3),a1))),
% 4.90/4.92 inference(rename_variables,[],[1032])).
% 4.90/4.92 cnf(1135,plain,
% 4.90/4.92 (P9(f7(a33),f7(a33))),
% 4.90/4.92 inference(scs_inference,[],[260,1106,1109,100,111,97,98,104,105,95,93,103,92,101,766,1070,515,1032,972,956,984,974,495,873,1030,1052,995,1077,1056,303,919,961,1059,849,485,764,825,655,800,866,372,396,295,675,511,279,390,262,265,132,131,133,158,76,176,141,188,235,5,238,169,177,82,173,180,140,2,85,81,3,77,78,84,80])).
% 4.90/4.92 cnf(1143,plain,
% 4.90/4.92 (E(f32(f4(a3),a1),a33)),
% 4.90/4.92 inference(scs_inference,[],[260,1106,1109,1113,100,111,97,98,104,105,95,93,103,92,101,766,1070,515,1032,1121,972,956,984,974,495,873,1030,1052,995,1077,1056,303,919,921,961,884,1059,964,849,485,764,825,655,800,751,866,372,396,295,675,511,279,390,262,265,132,131,133,158,76,176,141,188,235,5,238,169,177,82,173,180,140,2,85,81,3,77,78,84,80,236,214,195,124])).
% 4.90/4.92 cnf(1194,plain,
% 4.90/4.92 (~P3(x11941,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1198,plain,
% 4.90/4.92 (P1(f31(a33,a1))),
% 4.90/4.92 inference(scs_inference,[],[260,96,105,95,104,94,262,103,93,92,909,1066,907,1096,1061,1135,1143,1011,392,984,303,968,813,1070,295,479,402,384,265,201,205,114,116,164,167,132,133,192,131,176,153,216,175,161,76])).
% 4.90/4.92 cnf(1209,plain,
% 4.90/4.92 (~P3(x12091,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1212,plain,
% 4.90/4.92 (~P3(x12121,f4(a3))),
% 4.90/4.92 inference(rename_variables,[],[260])).
% 4.90/4.92 cnf(1232,plain,
% 4.90/4.92 (~E(f4(a3),f31(f4(a3),f24(a37,a1,a33)))),
% 4.90/4.92 inference(scs_inference,[],[91,258,260,1194,1209,1212,108,96,97,106,105,98,95,104,94,262,103,93,92,101,909,1066,357,358,950,1046,907,671,1017,1096,1041,1061,1135,1143,1072,1092,761,901,481,1010,1011,662,392,379,984,1030,303,968,813,1070,1056,295,479,402,483,675,384,382,291,265,201,205,114,116,164,167,132,133,192,131,176,153,216,175,161,76,5,184,169,21,177,173,168,180,82,140,2,85,77,81,3,78,79,84,80,242,160])).
% 4.90/4.92 cnf(1244,plain,
% 4.90/4.92 (P3(f38(f35(a41)),a37)),
% 4.90/4.92 inference(scs_inference,[],[91,258,260,1194,1209,1212,108,96,97,106,105,98,95,104,94,262,103,93,92,101,909,1066,357,358,950,1046,907,671,1017,1096,1041,1061,1135,1143,1072,1092,761,901,481,1010,1011,662,392,379,984,1030,303,968,813,1070,1056,295,479,402,483,675,511,279,384,382,291,265,201,205,114,116,164,167,132,133,192,131,176,153,216,175,161,76,5,184,169,21,177,173,168,180,82,140,2,85,77,81,3,78,79,84,80,242,160,157,138,129,156,144])).
% 4.90/4.92 cnf(1554,plain,
% 4.90/4.92 ($false),
% 4.90/4.92 inference(scs_inference,[],[257,107,260,104,105,265,262,1244,1198,470,1232,1061,125,122,147,120,146,136,126,123,118,230,128,134,137,71,67,61,60,51,48,42,28,14,6,223]),
% 4.90/4.92 ['proof']).
% 4.90/4.92 % SZS output end Proof
% 4.90/4.92 % Total time :4.160000s
%------------------------------------------------------------------------------