TSTP Solution File: NUM606+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 10:23:39 EDT 2023
% Result : Theorem 4.39s 4.42s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 11:07:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 4.27/4.39 %-------------------------------------------
% 4.27/4.39 % File :CSE---1.6
% 4.27/4.39 % Problem :theBenchmark
% 4.27/4.39 % Transform :cnf
% 4.27/4.39 % Format :tptp:raw
% 4.27/4.39 % Command :java -jar mcs_scs.jar %d %s
% 4.27/4.39
% 4.27/4.39 % Result :Theorem 3.700000s
% 4.27/4.39 % Output :CNFRefutation 3.700000s
% 4.27/4.39 %-------------------------------------------
% 4.27/4.40 %------------------------------------------------------------------------------
% 4.27/4.40 % File : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 4.27/4.40 % Domain : Number Theory
% 4.27/4.40 % Problem : Ramsey's Infinite Theorem 15_02_21, 00 expansion
% 4.27/4.40 % Version : Especial.
% 4.27/4.40 % English :
% 4.27/4.40
% 4.27/4.40 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 4.27/4.40 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 4.27/4.40 % Source : [Pas08]
% 4.27/4.40 % Names : ramsey_15_02_21.00 [Pas08]
% 4.27/4.40
% 4.27/4.40 % Status : Theorem
% 4.27/4.40 % Rating : 0.22 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.41 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.33 v4.1.0, 0.43 v4.0.1, 0.70 v4.0.0
% 4.27/4.40 % Syntax : Number of formulae : 101 ( 10 unt; 11 def)
% 4.27/4.40 % Number of atoms : 390 ( 69 equ)
% 4.27/4.40 % Maximal formula atoms : 12 ( 3 avg)
% 4.27/4.40 % Number of connectives : 314 ( 25 ~; 4 |; 128 &)
% 4.27/4.40 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 4.27/4.40 % Maximal formula depth : 15 ( 5 avg)
% 4.27/4.40 % Maximal term depth : 5 ( 1 avg)
% 4.27/4.40 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 4.27/4.40 % Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% 4.27/4.40 % Number of variables : 171 ( 159 !; 12 ?)
% 4.27/4.40 % SPC : FOF_THM_RFO_SEQ
% 4.27/4.40
% 4.27/4.40 % Comments : Problem generated by the SAD system [VLP07]
% 4.27/4.40 %------------------------------------------------------------------------------
% 4.27/4.40 fof(mSetSort,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => $true ) ).
% 4.27/4.40
% 4.27/4.40 fof(mElmSort,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aElement0(W0)
% 4.27/4.40 => $true ) ).
% 4.27/4.40
% 4.27/4.40 fof(mEOfElem,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => ! [W1] :
% 4.27/4.40 ( aElementOf0(W1,W0)
% 4.27/4.40 => aElement0(W1) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mFinRel,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => ( isFinite0(W0)
% 4.27/4.40 => $true ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mDefEmp,definition,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( W0 = slcrc0
% 4.27/4.40 <=> ( aSet0(W0)
% 4.27/4.40 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mEmpFin,axiom,
% 4.27/4.40 isFinite0(slcrc0) ).
% 4.27/4.40
% 4.27/4.40 fof(mCntRel,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => ( isCountable0(W0)
% 4.27/4.40 => $true ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mCountNFin,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & isCountable0(W0) )
% 4.27/4.40 => ~ isFinite0(W0) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mCountNFin_01,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & isCountable0(W0) )
% 4.27/4.40 => W0 != slcrc0 ) ).
% 4.27/4.40
% 4.27/4.40 fof(mDefSub,definition,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => ! [W1] :
% 4.27/4.40 ( aSubsetOf0(W1,W0)
% 4.27/4.40 <=> ( aSet0(W1)
% 4.27/4.40 & ! [W2] :
% 4.27/4.40 ( aElementOf0(W2,W1)
% 4.27/4.40 => aElementOf0(W2,W0) ) ) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mSubFSet,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & isFinite0(W0) )
% 4.27/4.40 => ! [W1] :
% 4.27/4.40 ( aSubsetOf0(W1,W0)
% 4.27/4.40 => isFinite0(W1) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mSubRefl,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => aSubsetOf0(W0,W0) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mSubASymm,axiom,
% 4.27/4.40 ! [W0,W1] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & aSet0(W1) )
% 4.27/4.40 => ( ( aSubsetOf0(W0,W1)
% 4.27/4.40 & aSubsetOf0(W1,W0) )
% 4.27/4.40 => W0 = W1 ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mSubTrans,axiom,
% 4.27/4.40 ! [W0,W1,W2] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & aSet0(W1)
% 4.27/4.40 & aSet0(W2) )
% 4.27/4.40 => ( ( aSubsetOf0(W0,W1)
% 4.27/4.40 & aSubsetOf0(W1,W2) )
% 4.27/4.40 => aSubsetOf0(W0,W2) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mDefCons,definition,
% 4.27/4.40 ! [W0,W1] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & aElement0(W1) )
% 4.27/4.40 => ! [W2] :
% 4.27/4.40 ( W2 = sdtpldt0(W0,W1)
% 4.27/4.40 <=> ( aSet0(W2)
% 4.27/4.40 & ! [W3] :
% 4.27/4.40 ( aElementOf0(W3,W2)
% 4.27/4.40 <=> ( aElement0(W3)
% 4.27/4.40 & ( aElementOf0(W3,W0)
% 4.27/4.40 | W3 = W1 ) ) ) ) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mDefDiff,definition,
% 4.27/4.40 ! [W0,W1] :
% 4.27/4.40 ( ( aSet0(W0)
% 4.27/4.40 & aElement0(W1) )
% 4.27/4.40 => ! [W2] :
% 4.27/4.40 ( W2 = sdtmndt0(W0,W1)
% 4.27/4.40 <=> ( aSet0(W2)
% 4.27/4.40 & ! [W3] :
% 4.27/4.40 ( aElementOf0(W3,W2)
% 4.27/4.40 <=> ( aElement0(W3)
% 4.27/4.40 & aElementOf0(W3,W0)
% 4.27/4.40 & W3 != W1 ) ) ) ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mConsDiff,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aSet0(W0)
% 4.27/4.40 => ! [W1] :
% 4.27/4.40 ( aElementOf0(W1,W0)
% 4.27/4.40 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mDiffCons,axiom,
% 4.27/4.40 ! [W0,W1] :
% 4.27/4.40 ( ( aElement0(W0)
% 4.27/4.40 & aSet0(W1) )
% 4.27/4.40 => ( ~ aElementOf0(W0,W1)
% 4.27/4.40 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 4.27/4.40
% 4.27/4.40 fof(mCConsSet,axiom,
% 4.27/4.40 ! [W0] :
% 4.27/4.40 ( aElement0(W0)
% 4.27/4.40 => ! [W1] :
% 4.27/4.40 ( ( aSet0(W1)
% 4.27/4.41 & isCountable0(W1) )
% 4.27/4.41 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCDiffSet,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElement0(W0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( ( aSet0(W1)
% 4.27/4.41 & isCountable0(W1) )
% 4.27/4.41 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mFConsSet,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElement0(W0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( ( aSet0(W1)
% 4.27/4.41 & isFinite0(W1) )
% 4.27/4.41 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mFDiffSet,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElement0(W0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( ( aSet0(W1)
% 4.27/4.41 & isFinite0(W1) )
% 4.27/4.41 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mNATSet,axiom,
% 4.27/4.41 ( aSet0(szNzAzT0)
% 4.27/4.41 & isCountable0(szNzAzT0) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mZeroNum,axiom,
% 4.27/4.41 aElementOf0(sz00,szNzAzT0) ).
% 4.27/4.41
% 4.27/4.41 fof(mSuccNum,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 4.27/4.41 & szszuzczcdt0(W0) != sz00 ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSuccEquSucc,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 4.27/4.41 => W0 = W1 ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mNatExtra,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => ( W0 = sz00
% 4.27/4.41 | ? [W1] :
% 4.27/4.41 ( aElementOf0(W1,szNzAzT0)
% 4.27/4.41 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mNatNSucc,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => W0 != szszuzczcdt0(W0) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessRel,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( sdtlseqdt0(W0,W1)
% 4.27/4.41 => $true ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mZeroLess,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => sdtlseqdt0(sz00,W0) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mNoScLessZr,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSuccLess,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( sdtlseqdt0(W0,W1)
% 4.27/4.41 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessSucc,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessRefl,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => sdtlseqdt0(W0,W0) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessASymm,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( ( sdtlseqdt0(W0,W1)
% 4.27/4.41 & sdtlseqdt0(W1,W0) )
% 4.27/4.41 => W0 = W1 ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessTrans,axiom,
% 4.27/4.41 ! [W0,W1,W2] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0)
% 4.27/4.41 & aElementOf0(W2,szNzAzT0) )
% 4.27/4.41 => ( ( sdtlseqdt0(W0,W1)
% 4.27/4.41 & sdtlseqdt0(W1,W2) )
% 4.27/4.41 => sdtlseqdt0(W0,W2) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mLessTotal,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( sdtlseqdt0(W0,W1)
% 4.27/4.41 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mIHSort,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( iLess0(W0,W1)
% 4.27/4.41 => $true ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mIH,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardS,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aSet0(W0)
% 4.27/4.41 => aElement0(sbrdtbr0(W0)) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardNum,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aSet0(W0)
% 4.27/4.41 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 4.27/4.41 <=> isFinite0(W0) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardEmpty,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aSet0(W0)
% 4.27/4.41 => ( sbrdtbr0(W0) = sz00
% 4.27/4.41 <=> W0 = slcrc0 ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardCons,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSet0(W0)
% 4.27/4.41 & isFinite0(W0) )
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( aElement0(W1)
% 4.27/4.41 => ( ~ aElementOf0(W1,W0)
% 4.27/4.41 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardDiff,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aSet0(W0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( ( isFinite0(W0)
% 4.27/4.41 & aElementOf0(W1,W0) )
% 4.27/4.41 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardSub,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aSet0(W0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( ( isFinite0(W0)
% 4.27/4.41 & aSubsetOf0(W1,W0) )
% 4.27/4.41 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardSubEx,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aSet0(W0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( ( isFinite0(W0)
% 4.27/4.41 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 4.27/4.41 => ? [W2] :
% 4.27/4.41 ( aSubsetOf0(W2,W0)
% 4.27/4.41 & sbrdtbr0(W2) = W1 ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mDefMin,definition,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.27/4.41 & W0 != slcrc0 )
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( W1 = szmzizndt0(W0)
% 4.27/4.41 <=> ( aElementOf0(W1,W0)
% 4.27/4.41 & ! [W2] :
% 4.27/4.41 ( aElementOf0(W2,W0)
% 4.27/4.41 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mDefMax,definition,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.27/4.41 & isFinite0(W0)
% 4.27/4.41 & W0 != slcrc0 )
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( W1 = szmzazxdt0(W0)
% 4.27/4.41 <=> ( aElementOf0(W1,W0)
% 4.27/4.41 & ! [W2] :
% 4.27/4.41 ( aElementOf0(W2,W0)
% 4.27/4.41 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mMinMin,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.27/4.41 & aSubsetOf0(W1,szNzAzT0)
% 4.27/4.41 & W0 != slcrc0
% 4.27/4.41 & W1 != slcrc0 )
% 4.27/4.41 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 4.27/4.41 & aElementOf0(szmzizndt0(W1),W0) )
% 4.27/4.41 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mDefSeg,definition,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( W1 = slbdtrb0(W0)
% 4.27/4.41 <=> ( aSet0(W1)
% 4.27/4.41 & ! [W2] :
% 4.27/4.41 ( aElementOf0(W2,W1)
% 4.27/4.41 <=> ( aElementOf0(W2,szNzAzT0)
% 4.27/4.41 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSegFin,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => isFinite0(slbdtrb0(W0)) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSegZero,axiom,
% 4.27/4.41 slbdtrb0(sz00) = slcrc0 ).
% 4.27/4.41
% 4.27/4.41 fof(mSegSucc,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 4.27/4.41 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 4.27/4.41 | W0 = W1 ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSegLess,axiom,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ( sdtlseqdt0(W0,W1)
% 4.27/4.41 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mFinSubSeg,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSubsetOf0(W0,szNzAzT0)
% 4.27/4.41 & isFinite0(W0) )
% 4.27/4.41 => ? [W1] :
% 4.27/4.41 ( aElementOf0(W1,szNzAzT0)
% 4.27/4.41 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mCardSeg,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.41 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 4.27/4.41
% 4.27/4.41 fof(mDefSel,definition,
% 4.27/4.41 ! [W0,W1] :
% 4.27/4.41 ( ( aSet0(W0)
% 4.27/4.41 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.41 => ! [W2] :
% 4.27/4.41 ( W2 = slbdtsldtrb0(W0,W1)
% 4.27/4.41 <=> ( aSet0(W2)
% 4.27/4.41 & ! [W3] :
% 4.27/4.41 ( aElementOf0(W3,W2)
% 4.27/4.41 <=> ( aSubsetOf0(W3,W0)
% 4.27/4.41 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSelFSet,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSet0(W0)
% 4.27/4.41 & isFinite0(W0) )
% 4.27/4.41 => ! [W1] :
% 4.27/4.41 ( aElementOf0(W1,szNzAzT0)
% 4.27/4.41 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 4.27/4.41
% 4.27/4.41 fof(mSelNSet,axiom,
% 4.27/4.41 ! [W0] :
% 4.27/4.41 ( ( aSet0(W0)
% 4.27/4.41 & ~ isFinite0(W0) )
% 4.27/4.41 => ! [W1] :
% 4.27/4.42 ( aElementOf0(W1,szNzAzT0)
% 4.27/4.42 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mSelCSet,axiom,
% 4.27/4.42 ! [W0] :
% 4.27/4.42 ( ( aSet0(W0)
% 4.27/4.42 & isCountable0(W0) )
% 4.27/4.42 => ! [W1] :
% 4.27/4.42 ( ( aElementOf0(W1,szNzAzT0)
% 4.27/4.42 & W1 != sz00 )
% 4.27/4.42 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mSelSub,axiom,
% 4.27/4.42 ! [W0] :
% 4.27/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.27/4.42 => ! [W1,W2] :
% 4.27/4.42 ( ( aSet0(W1)
% 4.27/4.42 & aSet0(W2)
% 4.27/4.42 & W0 != sz00 )
% 4.27/4.42 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 4.27/4.42 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 4.27/4.42 => aSubsetOf0(W1,W2) ) ) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mSelExtra,axiom,
% 4.27/4.42 ! [W0,W1] :
% 4.27/4.42 ( ( aSet0(W0)
% 4.27/4.42 & aElementOf0(W1,szNzAzT0) )
% 4.27/4.42 => ! [W2] :
% 4.27/4.42 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 4.27/4.42 & isFinite0(W2) )
% 4.27/4.42 => ? [W3] :
% 4.27/4.42 ( aSubsetOf0(W3,W0)
% 4.27/4.42 & isFinite0(W3)
% 4.27/4.42 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mFunSort,axiom,
% 4.27/4.42 ! [W0] :
% 4.27/4.42 ( aFunction0(W0)
% 4.27/4.42 => $true ) ).
% 4.27/4.42
% 4.27/4.42 fof(mDomSet,axiom,
% 4.27/4.42 ! [W0] :
% 4.27/4.42 ( aFunction0(W0)
% 4.27/4.42 => aSet0(szDzozmdt0(W0)) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mImgElm,axiom,
% 4.27/4.42 ! [W0] :
% 4.27/4.42 ( aFunction0(W0)
% 4.27/4.42 => ! [W1] :
% 4.27/4.42 ( aElementOf0(W1,szDzozmdt0(W0))
% 4.27/4.42 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 4.27/4.42
% 4.27/4.42 fof(mDefPtt,definition,
% 4.27/4.42 ! [W0,W1] :
% 4.27/4.42 ( ( aFunction0(W0)
% 4.27/4.42 & aElement0(W1) )
% 4.27/4.42 => ! [W2] :
% 4.27/4.42 ( W2 = sdtlbdtrb0(W0,W1)
% 4.39/4.42 <=> ( aSet0(W2)
% 4.39/4.42 & ! [W3] :
% 4.39/4.42 ( aElementOf0(W3,W2)
% 4.39/4.42 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 4.39/4.42 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mPttSet,axiom,
% 4.39/4.42 ! [W0,W1] :
% 4.39/4.42 ( ( aFunction0(W0)
% 4.39/4.42 & aElement0(W1) )
% 4.39/4.42 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mDefSImg,definition,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aFunction0(W0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.39/4.42 => ! [W2] :
% 4.39/4.42 ( W2 = sdtlcdtrc0(W0,W1)
% 4.39/4.42 <=> ( aSet0(W2)
% 4.39/4.42 & ! [W3] :
% 4.39/4.42 ( aElementOf0(W3,W2)
% 4.39/4.42 <=> ? [W4] :
% 4.39/4.42 ( aElementOf0(W4,W1)
% 4.39/4.42 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mImgRng,axiom,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aFunction0(W0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( aElementOf0(W1,szDzozmdt0(W0))
% 4.39/4.42 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mDefRst,definition,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aFunction0(W0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.39/4.42 => ! [W2] :
% 4.39/4.42 ( W2 = sdtexdt0(W0,W1)
% 4.39/4.42 <=> ( aFunction0(W2)
% 4.39/4.42 & szDzozmdt0(W2) = W1
% 4.39/4.42 & ! [W3] :
% 4.39/4.42 ( aElementOf0(W3,W1)
% 4.39/4.42 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mImgCount,axiom,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aFunction0(W0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 4.39/4.42 & isCountable0(W1) )
% 4.39/4.42 => ( ! [W2,W3] :
% 4.39/4.42 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 4.39/4.42 & aElementOf0(W3,szDzozmdt0(W0))
% 4.39/4.42 & W2 != W3 )
% 4.39/4.42 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 4.39/4.42 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(mDirichlet,axiom,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aFunction0(W0)
% 4.39/4.42 => ( ( isCountable0(szDzozmdt0(W0))
% 4.39/4.42 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 4.39/4.42 => ( aElement0(szDzizrdt0(W0))
% 4.39/4.42 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3291,hypothesis,
% 4.39/4.42 ( aSet0(xT)
% 4.39/4.42 & isFinite0(xT) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3418,hypothesis,
% 4.39/4.42 aElementOf0(xK,szNzAzT0) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3435,hypothesis,
% 4.39/4.42 ( aSubsetOf0(xS,szNzAzT0)
% 4.39/4.42 & isCountable0(xS) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3453,hypothesis,
% 4.39/4.42 ( aFunction0(xc)
% 4.39/4.42 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 4.39/4.42 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3398,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( ( aSubsetOf0(W1,szNzAzT0)
% 4.39/4.42 & isCountable0(W1) )
% 4.39/4.42 => ! [W2] :
% 4.39/4.42 ( ( aFunction0(W2)
% 4.39/4.42 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 4.39/4.42 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 4.39/4.42 => ( iLess0(W0,xK)
% 4.39/4.42 => ? [W3] :
% 4.39/4.42 ( aElementOf0(W3,xT)
% 4.39/4.42 & ? [W4] :
% 4.39/4.42 ( aSubsetOf0(W4,W1)
% 4.39/4.42 & isCountable0(W4)
% 4.39/4.42 & ! [W5] :
% 4.39/4.42 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 4.39/4.42 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3462,hypothesis,
% 4.39/4.42 xK != sz00 ).
% 4.39/4.42
% 4.39/4.42 fof(m__3520,hypothesis,
% 4.39/4.42 xK != sz00 ).
% 4.39/4.42
% 4.39/4.42 fof(m__3533,hypothesis,
% 4.39/4.42 ( aElementOf0(xk,szNzAzT0)
% 4.39/4.42 & szszuzczcdt0(xk) = xK ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3623,hypothesis,
% 4.39/4.42 ( aFunction0(xN)
% 4.39/4.42 & szDzozmdt0(xN) = szNzAzT0
% 4.39/4.42 & sdtlpdtrp0(xN,sz00) = xS
% 4.39/4.42 & ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 4.39/4.42 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 4.39/4.42 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 4.39/4.42 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3671,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 4.39/4.42 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3754,hypothesis,
% 4.39/4.42 ! [W0,W1] :
% 4.39/4.42 ( ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 & aElementOf0(W1,szNzAzT0) )
% 4.39/4.42 => ( sdtlseqdt0(W1,W0)
% 4.39/4.42 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3821,hypothesis,
% 4.39/4.42 ! [W0,W1] :
% 4.39/4.42 ( ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 & aElementOf0(W1,szNzAzT0)
% 4.39/4.42 & W0 != W1 )
% 4.39/4.42 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__3965,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( ( aSet0(W1)
% 4.39/4.42 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 4.39/4.42 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4151,hypothesis,
% 4.39/4.42 ( aFunction0(xC)
% 4.39/4.42 & szDzozmdt0(xC) = szNzAzT0
% 4.39/4.42 & ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 4.39/4.42 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 4.39/4.42 & ! [W1] :
% 4.39/4.42 ( ( aSet0(W1)
% 4.39/4.42 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 4.39/4.42 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4182,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4331,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 4.39/4.42 & isCountable0(W1) )
% 4.39/4.42 => ! [W2] :
% 4.39/4.42 ( ( aSet0(W2)
% 4.39/4.42 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 4.39/4.42 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4411,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ? [W1] :
% 4.39/4.42 ( aElementOf0(W1,xT)
% 4.39/4.42 & ? [W2] :
% 4.39/4.42 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 4.39/4.42 & isCountable0(W2)
% 4.39/4.42 & ! [W3] :
% 4.39/4.42 ( ( aSet0(W3)
% 4.39/4.42 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 4.39/4.42 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4618,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ? [W1] :
% 4.39/4.42 ( aElementOf0(W1,xT)
% 4.39/4.42 & ! [W2] :
% 4.39/4.42 ( ( aSet0(W2)
% 4.39/4.42 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 4.39/4.42 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4660,hypothesis,
% 4.39/4.42 ( aFunction0(xe)
% 4.39/4.42 & szDzozmdt0(xe) = szNzAzT0
% 4.39/4.42 & ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4730,hypothesis,
% 4.39/4.42 ( aFunction0(xd)
% 4.39/4.42 & szDzozmdt0(xd) = szNzAzT0
% 4.39/4.42 & ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,szNzAzT0)
% 4.39/4.42 => ! [W1] :
% 4.39/4.42 ( ( aSet0(W1)
% 4.39/4.42 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 4.39/4.42 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4758,hypothesis,
% 4.39/4.42 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4854,hypothesis,
% 4.39/4.42 ( aElementOf0(szDzizrdt0(xd),xT)
% 4.39/4.42 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4891,hypothesis,
% 4.39/4.42 ( aSet0(xO)
% 4.39/4.42 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4908,hypothesis,
% 4.39/4.42 ( aSet0(xO)
% 4.39/4.42 & isCountable0(xO) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4982,hypothesis,
% 4.39/4.42 ! [W0] :
% 4.39/4.42 ( aElementOf0(W0,xO)
% 4.39/4.42 => ? [W1] :
% 4.39/4.42 ( aElementOf0(W1,szNzAzT0)
% 4.39/4.42 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 4.39/4.42 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__4998,hypothesis,
% 4.39/4.42 aSubsetOf0(xO,xS) ).
% 4.39/4.42
% 4.39/4.42 fof(m__5078,hypothesis,
% 4.39/4.42 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ).
% 4.39/4.42
% 4.39/4.42 fof(m__5093,hypothesis,
% 4.39/4.42 ( aSubsetOf0(xQ,xO)
% 4.39/4.42 & xQ != slcrc0 ) ).
% 4.39/4.42
% 4.39/4.42 fof(m__,conjecture,
% 4.39/4.42 aSubsetOf0(xQ,szNzAzT0) ).
% 4.39/4.42
% 4.39/4.42 %------------------------------------------------------------------------------
% 4.39/4.42 %-------------------------------------------
% 4.39/4.42 % Proof found
% 4.39/4.42 % SZS status Theorem for theBenchmark
% 4.39/4.42 % SZS output start Proof
% 4.39/4.42 %ClaNum:289(EqnAxiom:92)
% 4.39/4.42 %VarNum:1229(SingletonVarNum:358)
% 4.39/4.42 %MaxLitNum:9
% 4.39/4.42 %MaxfuncDepth:4
% 4.39/4.42 %SharedTerms:65
% 4.39/4.42 %goalClause: 130
% 4.39/4.42 %singleGoalClaCount:1
% 4.39/4.42 [99]P1(a41)
% 4.39/4.42 [100]P1(a49)
% 4.39/4.42 [102]P1(a50)
% 4.39/4.42 [103]P5(a37)
% 4.39/4.42 [104]P5(a49)
% 4.39/4.42 [105]P6(a41)
% 4.39/4.42 [106]P6(a51)
% 4.39/4.42 [107]P6(a50)
% 4.39/4.42 [108]P2(a53)
% 4.39/4.42 [109]P2(a46)
% 4.39/4.42 [110]P2(a45)
% 4.39/4.42 [111]P2(a47)
% 4.39/4.42 [112]P2(a48)
% 4.39/4.42 [114]P3(a3,a41)
% 4.39/4.42 [115]P3(a44,a41)
% 4.39/4.42 [116]P3(a1,a41)
% 4.39/4.42 [117]P7(a51,a41)
% 4.39/4.42 [118]P7(a50,a51)
% 4.39/4.42 [119]P7(a52,a50)
% 4.39/4.42 [128]~E(a3,a44)
% 4.39/4.42 [129]~E(a52,a37)
% 4.39/4.42 [130]~P7(a52,a41)
% 4.39/4.42 [93]E(f2(a1),a44)
% 4.39/4.42 [94]E(f4(a3),a37)
% 4.39/4.42 [95]E(f39(a46),a41)
% 4.39/4.42 [96]E(f39(a45),a41)
% 4.39/4.42 [97]E(f39(a47),a41)
% 4.39/4.42 [98]E(f39(a48),a41)
% 4.39/4.42 [113]E(f5(a46,a3),a51)
% 4.39/4.42 [120]E(f38(a51,a44),f39(a53))
% 4.39/4.42 [121]P3(f40(a48),a49)
% 4.39/4.42 [122]P3(a52,f38(a50,a44))
% 4.39/4.42 [123]P6(f6(a48,f40(a48)))
% 4.39/4.42 [125]P7(f34(a53,f39(a53)),a49)
% 4.39/4.42 [126]P7(f34(a48,f39(a48)),a49)
% 4.39/4.42 [124]E(f34(a47,f6(a48,f40(a48))),a50)
% 4.39/4.42 [131]P1(x1311)+~E(x1311,a37)
% 4.39/4.42 [138]~P1(x1381)+P7(x1381,x1381)
% 4.39/4.42 [146]~P3(x1461,a41)+P9(a3,x1461)
% 4.39/4.42 [152]P9(x1521,x1521)+~P3(x1521,a41)
% 4.39/4.42 [135]~P2(x1351)+P1(f39(x1351))
% 4.39/4.42 [136]~P1(x1361)+P4(f7(x1361))
% 4.39/4.42 [140]~P3(x1401,a41)+~E(f2(x1401),a3)
% 4.39/4.42 [141]~P3(x1411,a41)+~E(f2(x1411),x1411)
% 4.39/4.42 [143]~P3(x1431,a41)+P5(f4(x1431))
% 4.39/4.42 [144]~P3(x1441,a41)+P6(f19(x1441))
% 4.39/4.42 [153]~P3(x1531,a41)+P3(f2(x1531),a41)
% 4.39/4.42 [154]~P3(x1541,a41)+P3(f20(x1541),a49)
% 4.39/4.42 [155]~P3(x1551,a41)+P3(f24(x1551),a49)
% 4.39/4.42 [156]~P3(x1561,a50)+P3(f25(x1561),a41)
% 4.39/4.42 [158]~P3(x1581,a41)+P9(x1581,f2(x1581))
% 4.39/4.42 [159]~P3(x1591,a41)+P8(x1591,f2(x1591))
% 4.39/4.42 [168]~P3(x1681,a41)+P6(f5(a46,x1681))
% 4.39/4.42 [169]~P3(x1691,a41)+P2(f5(a45,x1691))
% 4.39/4.42 [170]~P3(x1701,a41)+~P9(f2(x1701),a3)
% 4.39/4.42 [178]~P3(x1781,a41)+P7(f5(a46,x1781),a41)
% 4.39/4.42 [145]~P3(x1451,a41)+E(f7(f4(x1451)),x1451)
% 4.39/4.42 [157]~P3(x1571,a50)+E(f5(a47,f25(x1571)),x1571)
% 4.39/4.42 [180]~P3(x1801,a41)+E(f42(f5(a46,x1801)),f5(a47,x1801))
% 4.39/4.42 [198]~P3(x1981,a50)+P3(f25(x1981),f6(a48,f40(a48)))
% 4.39/4.42 [253]~P3(x2531,a41)+P7(f34(f5(a45,x2531),f39(f5(a45,x2531))),a49)
% 4.39/4.42 [255]~P3(x2551,a41)+P7(f19(x2551),f36(f5(a46,x2551),f42(f5(a46,x2551))))
% 4.39/4.42 [257]~P3(x2571,a41)+E(f38(f36(f5(a46,x2571),f42(f5(a46,x2571))),a1),f39(f5(a45,x2571)))
% 4.39/4.42 [139]~P3(x1392,x1391)+~E(x1391,a37)
% 4.39/4.42 [134]~P1(x1341)+~P6(x1341)+~E(x1341,a37)
% 4.39/4.42 [137]~P5(x1371)+~P6(x1371)+~P1(x1371)
% 4.39/4.42 [132]~P1(x1321)+~E(x1321,a37)+E(f7(x1321),a3)
% 4.39/4.42 [133]~P1(x1331)+E(x1331,a37)+~E(f7(x1331),a3)
% 4.39/4.42 [142]~P1(x1421)+P3(f8(x1421),x1421)+E(x1421,a37)
% 4.39/4.42 [149]~P1(x1491)+~P5(x1491)+P3(f7(x1491),a41)
% 4.39/4.42 [160]~P3(x1601,a41)+E(x1601,a3)+P3(f23(x1601),a41)
% 4.39/4.42 [161]~P1(x1611)+P5(x1611)+~P3(f7(x1611),a41)
% 4.39/4.42 [167]~P5(x1671)+~P7(x1671,a41)+P3(f9(x1671),a41)
% 4.39/4.42 [147]~P3(x1471,a41)+E(x1471,a3)+E(f2(f23(x1471)),x1471)
% 4.39/4.42 [181]~P5(x1811)+~P7(x1811,a41)+P7(x1811,f4(f9(x1811)))
% 4.39/4.42 [150]~P7(x1501,x1502)+P1(x1501)+~P1(x1502)
% 4.39/4.42 [151]~P3(x1511,x1512)+P4(x1511)+~P1(x1512)
% 4.39/4.42 [148]P1(x1481)+~P3(x1482,a41)+~E(x1481,f4(x1482))
% 4.39/4.42 [182]~P4(x1822)+~P2(x1821)+P7(f6(x1821,x1822),f39(x1821))
% 4.39/4.42 [199]~P2(x1991)+~P3(x1992,f39(x1991))+P4(f5(x1991,x1992))
% 4.39/4.42 [201]~P1(x2011)+~P3(x2012,x2011)+E(f35(f36(x2011,x2012),x2012),x2011)
% 4.39/4.42 [237]~P2(x2371)+~P3(x2372,f39(x2371))+P3(f5(x2371,x2372),f34(x2371,f39(x2371)))
% 4.39/4.42 [227]~P2(x2271)+~P6(f39(x2271))+P4(f40(x2271))+~P5(f34(x2271,f39(x2271)))
% 4.39/4.42 [246]~P2(x2461)+~P6(f39(x2461))+~P5(f34(x2461,f39(x2461)))+P6(f6(x2461,f40(x2461)))
% 4.39/4.42 [250]~P3(x2501,a41)+~P7(f5(a46,x2501),a41)+~P6(f5(a46,x2501))+P6(f5(a46,f2(x2501)))
% 4.39/4.42 [274]~P3(x2741,a41)+~P7(f5(a46,x2741),a41)+~P6(f5(a46,x2741))+P7(f5(a46,f2(x2741)),f36(f5(a46,x2741),f42(f5(a46,x2741))))
% 4.39/4.42 [162]~P5(x1622)+~P7(x1621,x1622)+P5(x1621)+~P1(x1622)
% 4.39/4.42 [166]P3(x1662,x1661)+~E(x1662,f42(x1661))+~P7(x1661,a41)+E(x1661,a37)
% 4.39/4.42 [172]~P1(x1721)+~P4(x1722)+~P5(x1721)+P5(f35(x1721,x1722))
% 4.39/4.42 [173]~P1(x1731)+~P4(x1732)+~P5(x1731)+P5(f36(x1731,x1732))
% 4.39/4.42 [174]~P1(x1741)+~P4(x1742)+~P6(x1741)+P6(f35(x1741,x1742))
% 4.39/4.42 [175]~P1(x1751)+~P4(x1752)+~P6(x1751)+P6(f36(x1751,x1752))
% 4.39/4.42 [176]~P1(x1761)+P5(x1761)+~P3(x1762,a41)+~E(f38(x1761,x1762),a37)
% 4.39/4.42 [179]E(x1791,x1792)+~E(f2(x1791),f2(x1792))+~P3(x1792,a41)+~P3(x1791,a41)
% 4.39/4.42 [185]~P1(x1852)+~P5(x1852)+~P7(x1851,x1852)+P9(f7(x1851),f7(x1852))
% 4.39/4.42 [188]~P1(x1881)+~P5(x1881)+~P3(x1882,a41)+P5(f38(x1881,x1882))
% 4.39/4.42 [197]~P1(x1971)+~P1(x1972)+P7(x1971,x1972)+P3(f26(x1972,x1971),x1971)
% 4.39/4.42 [205]P9(x2051,x2052)+P9(f2(x2052),x2051)+~P3(x2052,a41)+~P3(x2051,a41)
% 4.39/4.42 [217]~P9(x2171,x2172)+~P3(x2172,a41)+~P3(x2171,a41)+P7(f4(x2171),f4(x2172))
% 4.39/4.42 [218]~P9(x2181,x2182)+~P3(x2182,a41)+~P3(x2181,a41)+P9(f2(x2181),f2(x2182))
% 4.39/4.42 [220]~P1(x2201)+~P1(x2202)+P7(x2201,x2202)+~P3(f26(x2202,x2201),x2202)
% 4.39/4.42 [222]P9(x2221,x2222)+~P3(x2222,a41)+~P3(x2221,a41)+~P7(f4(x2221),f4(x2222))
% 4.39/4.42 [223]P9(x2231,x2232)+~P3(x2232,a41)+~P3(x2231,a41)+~P9(f2(x2231),f2(x2232))
% 4.39/4.42 [241]~P9(x2412,x2411)+~P3(x2412,a41)+~P3(x2411,a41)+P7(f5(a46,x2411),f5(a46,x2412))
% 4.39/4.42 [200]P3(x2002,x2001)+~P1(x2001)+~P4(x2002)+E(f36(f35(x2001,x2002),x2002),x2001)
% 4.39/4.42 [208]~E(x2081,x2082)+~P3(x2082,a41)+~P3(x2081,a41)+P3(x2081,f4(f2(x2082)))
% 4.39/4.42 [229]~P3(x2292,a41)+~P3(x2291,a41)+~P3(x2291,f4(x2292))+P3(x2291,f4(f2(x2292)))
% 4.39/4.42 [245]E(x2451,x2452)+~P3(x2452,a41)+~P3(x2451,a41)+~E(f42(f5(a46,x2451)),f42(f5(a46,x2452)))
% 4.39/4.42 [248]~P1(x2482)+~P3(x2481,a41)+E(f5(f5(a45,x2481),x2482),f20(x2481))+~P3(x2482,f38(f19(x2481),a1))
% 4.39/4.42 [228]~P1(x2281)+~P5(x2281)+~P3(x2282,x2281)+E(f2(f7(f36(x2281,x2282))),f7(x2281))
% 4.39/4.42 [258]~P1(x2582)+~P3(x2581,a41)+E(f5(f5(a45,x2581),x2582),f24(x2581))+~P3(x2582,f38(f5(a46,f2(x2581)),a1))
% 4.39/4.42 [260]~P1(x2602)+~P3(x2601,a41)+E(f5(f5(a45,x2601),x2602),f5(a48,x2601))+~P3(x2602,f38(f5(a46,f2(x2601)),a1))
% 4.39/4.42 [288]~P1(x2881)+~P3(x2882,a41)+P3(f35(x2881,f42(f5(a46,x2882))),f38(a51,a44))+~P3(x2881,f38(f36(f5(a46,x2882),f42(f5(a46,x2882))),a1))
% 4.39/4.42 [289]~P1(x2891)+~P3(x2892,a41)+~P3(x2891,f38(f36(f5(a46,x2892),f42(f5(a46,x2892))),a1))+E(f5(a53,f35(x2891,f42(f5(a46,x2892)))),f5(f5(a45,x2892),x2891))
% 4.39/4.42 [192]~P1(x1922)+~P7(x1923,x1922)+P3(x1921,x1922)+~P3(x1921,x1923)
% 4.39/4.42 [163]~P1(x1632)+~P4(x1633)+P1(x1631)+~E(x1631,f35(x1632,x1633))
% 4.39/4.42 [164]~P1(x1642)+~P4(x1643)+P1(x1641)+~E(x1641,f36(x1642,x1643))
% 4.39/4.42 [165]~P4(x1653)+~P2(x1652)+P1(x1651)+~E(x1651,f6(x1652,x1653))
% 4.39/4.42 [177]~P1(x1772)+P1(x1771)+~P3(x1773,a41)+~E(x1771,f38(x1772,x1773))
% 4.39/4.42 [186]~P3(x1861,x1862)+~P3(x1863,a41)+P3(x1861,a41)+~E(x1862,f4(x1863))
% 4.39/4.42 [194]~P2(x1942)+P1(x1941)+~P7(x1943,f39(x1942))+~E(x1941,f34(x1942,x1943))
% 4.39/4.42 [195]~P2(x1952)+P2(x1951)+~P7(x1953,f39(x1952))+~E(x1951,f33(x1952,x1953))
% 4.39/4.42 [196]~P2(x1963)+~P7(x1962,f39(x1963))+E(f39(x1961),x1962)+~E(x1961,f33(x1963,x1962))
% 4.39/4.42 [202]~P3(x2021,x2023)+~P3(x2022,a41)+P9(f2(x2021),x2022)+~E(x2023,f4(x2022))
% 4.39/4.42 [183]~P1(x1832)+~P1(x1831)+~P7(x1832,x1831)+~P7(x1831,x1832)+E(x1831,x1832)
% 4.39/4.42 [215]~P9(x2152,x2151)+~P9(x2151,x2152)+E(x2151,x2152)+~P3(x2152,a41)+~P3(x2151,a41)
% 4.39/4.42 [171]~P5(x1711)+P3(x1712,x1711)+~E(x1712,f43(x1711))+~P7(x1711,a41)+E(x1711,a37)
% 4.39/4.42 [191]~P1(x1912)+~P6(x1912)+~P3(x1911,a41)+E(x1911,a3)+P6(f38(x1912,x1911))
% 4.39/4.42 [219]~P3(x2192,x2191)+P3(f29(x2191,x2192),x2191)+~P7(x2191,a41)+E(x2191,a37)+E(x2192,f42(x2191))
% 4.39/4.42 [230]~P1(x2301)+~P5(x2301)+~P3(x2302,a41)+~P9(x2302,f7(x2301))+P7(f30(x2301,x2302),x2301)
% 4.39/4.42 [232]~P1(x2321)+P3(f32(x2322,x2321),x2321)+~P3(x2322,a41)+E(x2321,f4(x2322))+P3(f32(x2322,x2321),a41)
% 4.39/4.42 [233]~P3(x2332,x2331)+~P7(x2331,a41)+~P9(x2332,f29(x2331,x2332))+E(x2331,a37)+E(x2332,f42(x2331))
% 4.39/4.42 [240]~P6(x2402)+~P2(x2401)+~E(f10(x2401,x2402),f11(x2401,x2402))+~P7(x2402,f39(x2401))+P6(f34(x2401,x2402))
% 4.39/4.42 [242]~P6(x2422)+~P2(x2421)+P3(f11(x2421,x2422),f39(x2421))+~P7(x2422,f39(x2421))+P6(f34(x2421,x2422))
% 4.39/4.42 [243]~P6(x2432)+~P2(x2431)+P3(f10(x2431,x2432),f39(x2431))+~P7(x2432,f39(x2431))+P6(f34(x2431,x2432))
% 4.39/4.42 [207]P3(x2072,x2071)+~P1(x2071)+~P4(x2072)+~P5(x2071)+E(f7(f35(x2071,x2072)),f2(f7(x2071)))
% 4.39/4.42 [226]~P1(x2261)+~P5(x2261)+~P3(x2262,a41)+~P9(x2262,f7(x2261))+E(f7(f30(x2261,x2262)),x2262)
% 4.39/4.42 [235]E(x2351,x2352)+P3(x2351,f4(x2352))+~P3(x2352,a41)+~P3(x2351,a41)+~P3(x2351,f4(f2(x2352)))
% 4.39/4.42 [247]~P1(x2471)+P3(f32(x2472,x2471),x2471)+~P3(x2472,a41)+E(x2471,f4(x2472))+P9(f2(f32(x2472,x2471)),x2472)
% 4.39/4.42 [249]~P6(x2492)+~P2(x2491)+~P7(x2492,f39(x2491))+P6(f34(x2491,x2492))+E(f5(x2491,f10(x2491,x2492)),f5(x2491,f11(x2491,x2492)))
% 4.39/4.42 [193]~P3(x1933,x1931)+P9(x1932,x1933)+~E(x1932,f42(x1931))+~P7(x1931,a41)+E(x1931,a37)
% 4.39/4.42 [221]P3(x2211,x2212)+~P3(x2213,a41)+~P3(x2211,a41)+~P9(f2(x2211),x2213)+~E(x2212,f4(x2213))
% 4.39/4.42 [254]~P1(x2541)+~P5(x2543)+~P3(x2542,a41)+~P7(x2543,f38(x2541,x2542))+P5(f13(x2541,x2542,x2543))
% 4.39/4.42 [256]~P1(x2561)+~P5(x2563)+~P3(x2562,a41)+~P7(x2563,f38(x2561,x2562))+P7(f13(x2561,x2562,x2563),x2561)
% 4.39/4.42 [275]~P1(x2752)+~P5(x2751)+~P3(x2753,a41)+~P7(x2751,f38(x2752,x2753))+P7(x2751,f38(f13(x2752,x2753,x2751),x2753))
% 4.39/4.42 [187]~P1(x1874)+~P4(x1872)+~P3(x1871,x1873)+~E(x1871,x1872)+~E(x1873,f36(x1874,x1872))
% 4.39/4.42 [189]~P1(x1893)+~P4(x1894)+~P3(x1891,x1892)+P4(x1891)+~E(x1892,f35(x1893,x1894))
% 4.39/4.42 [190]~P1(x1903)+~P4(x1904)+~P3(x1901,x1902)+P4(x1901)+~E(x1902,f36(x1903,x1904))
% 4.39/4.42 [204]~P1(x2042)+~P4(x2044)+~P3(x2041,x2043)+P3(x2041,x2042)+~E(x2043,f36(x2042,x2044))
% 4.39/4.42 [206]~P4(x2063)+~P2(x2061)+~P3(x2062,x2064)+E(f5(x2061,x2062),x2063)+~E(x2064,f6(x2061,x2063))
% 4.39/4.42 [210]~P1(x2104)+~P3(x2101,x2103)+~P3(x2102,a41)+E(f7(x2101),x2102)+~E(x2103,f38(x2104,x2102))
% 4.39/4.42 [212]~P4(x2124)+~P2(x2122)+~P3(x2121,x2123)+P3(x2121,f39(x2122))+~E(x2123,f6(x2122,x2124))
% 4.39/4.42 [216]~P1(x2162)+~P3(x2161,x2163)+P7(x2161,x2162)+~P3(x2164,a41)+~E(x2163,f38(x2162,x2164))
% 4.39/4.42 [234]~P2(x2343)+~P3(x2342,x2344)+~P7(x2344,f39(x2343))+E(f5(x2341,x2342),f5(x2343,x2342))+~E(x2341,f33(x2343,x2344))
% 4.39/4.42 [281]~P2(x2811)+~P3(x2814,x2813)+~E(x2813,f34(x2811,x2812))+~P7(x2812,f39(x2811))+P3(f17(x2811,x2812,x2813,x2814),x2812)
% 4.39/4.42 [282]~P2(x2821)+~P3(x2824,x2823)+~E(x2823,f34(x2821,x2822))+~P7(x2822,f39(x2821))+E(f5(x2821,f17(x2821,x2822,x2823,x2824)),x2824)
% 4.39/4.42 [225]~P5(x2251)+~P3(x2252,x2251)+P3(f31(x2251,x2252),x2251)+~P7(x2251,a41)+E(x2251,a37)+E(x2252,f43(x2251))
% 4.39/4.42 [238]~P5(x2381)+~P3(x2382,x2381)+~P7(x2381,a41)+~P9(f31(x2381,x2382),x2382)+E(x2381,a37)+E(x2382,f43(x2381))
% 4.39/4.42 [263]~P1(x2631)+~P3(x2632,a41)+~P3(f32(x2632,x2631),x2631)+E(x2631,f4(x2632))+~P3(f32(x2632,x2631),a41)+~P9(f2(f32(x2632,x2631)),x2632)
% 4.39/4.42 [211]~P1(x2112)+~P1(x2111)+~P7(x2113,x2112)+~P7(x2111,x2113)+P7(x2111,x2112)+~P1(x2113)
% 4.39/4.42 [239]~P9(x2391,x2393)+P9(x2391,x2392)+~P9(x2393,x2392)+~P3(x2392,a41)+~P3(x2393,a41)+~P3(x2391,a41)
% 4.39/4.42 [203]~P5(x2031)+~P3(x2032,x2031)+P9(x2032,x2033)+~E(x2033,f43(x2031))+~P7(x2031,a41)+E(x2031,a37)
% 4.39/4.42 [252]~P2(x2521)+~P2(x2522)+P3(f12(x2522,x2523,x2521),x2523)+~E(f39(x2521),x2523)+~P7(x2523,f39(x2522))+E(x2521,f33(x2522,x2523))
% 4.39/4.42 [259]~P1(x2591)+~P1(x2592)+~P4(x2593)+P3(f27(x2592,x2593,x2591),x2591)+~E(f27(x2592,x2593,x2591),x2593)+E(x2591,f36(x2592,x2593))
% 4.39/4.42 [261]~P1(x2611)+~P1(x2612)+~P4(x2613)+P3(f28(x2612,x2613,x2611),x2611)+E(x2611,f35(x2612,x2613))+P4(f28(x2612,x2613,x2611))
% 4.39/4.42 [262]~P1(x2621)+~P1(x2622)+~P4(x2623)+P3(f27(x2622,x2623,x2621),x2621)+E(x2621,f36(x2622,x2623))+P4(f27(x2622,x2623,x2621))
% 4.39/4.42 [264]~P1(x2641)+~P1(x2642)+~P4(x2643)+P3(f27(x2642,x2643,x2641),x2641)+P3(f27(x2642,x2643,x2641),x2642)+E(x2641,f36(x2642,x2643))
% 4.39/4.42 [267]~P1(x2671)+~P4(x2673)+~P2(x2672)+P3(f15(x2672,x2673,x2671),x2671)+P3(f15(x2672,x2673,x2671),f39(x2672))+E(x2671,f6(x2672,x2673))
% 4.39/4.42 [268]~P1(x2681)+~P1(x2682)+P3(f14(x2682,x2683,x2681),x2681)+P7(f14(x2682,x2683,x2681),x2682)+~P3(x2683,a41)+E(x2681,f38(x2682,x2683))
% 4.39/4.42 [271]~P1(x2711)+~P2(x2712)+P3(f16(x2712,x2713,x2711),x2711)+P3(f18(x2712,x2713,x2711),x2713)+~P7(x2713,f39(x2712))+E(x2711,f34(x2712,x2713))
% 4.39/4.42 [265]~P1(x2651)+~P4(x2653)+~P2(x2652)+P3(f15(x2652,x2653,x2651),x2651)+E(x2651,f6(x2652,x2653))+E(f5(x2652,f15(x2652,x2653,x2651)),x2653)
% 4.39/4.42 [266]~P1(x2661)+~P1(x2662)+P3(f14(x2662,x2663,x2661),x2661)+~P3(x2663,a41)+E(x2661,f38(x2662,x2663))+E(f7(f14(x2662,x2663,x2661)),x2663)
% 4.39/4.42 [276]~P1(x2761)+~P2(x2762)+P3(f16(x2762,x2763,x2761),x2761)+~P7(x2763,f39(x2762))+E(x2761,f34(x2762,x2763))+E(f5(x2762,f18(x2762,x2763,x2761)),f16(x2762,x2763,x2761))
% 4.39/4.42 [278]~P2(x2782)+~P2(x2781)+~E(f39(x2781),x2783)+~P7(x2783,f39(x2782))+E(x2781,f33(x2782,x2783))+~E(f5(x2781,f12(x2782,x2783,x2781)),f5(x2782,f12(x2782,x2783,x2781)))
% 4.39/4.42 [287]~P1(x2871)+~P6(x2873)+~P3(x2872,a41)+~P3(x2871,f38(x2873,a1))+~P7(x2873,f36(f5(a46,x2872),f42(f5(a46,x2872))))+P3(x2871,f38(f36(f5(a46,x2872),f42(f5(a46,x2872))),a1))
% 4.39/4.42 [184]~P1(x1844)+~P4(x1843)+~P4(x1841)+P3(x1841,x1842)+~E(x1841,x1843)+~E(x1842,f35(x1844,x1843))
% 4.39/4.42 [209]~P1(x2093)+~P4(x2092)+~P3(x2091,x2094)+E(x2091,x2092)+P3(x2091,x2093)+~E(x2094,f35(x2093,x2092))
% 4.39/4.42 [213]~P1(x2133)+~P4(x2134)+~P4(x2131)+~P3(x2131,x2133)+P3(x2131,x2132)+~E(x2132,f35(x2133,x2134))
% 4.39/4.42 [224]~P1(x2244)+~P7(x2241,x2244)+P3(x2241,x2242)+~P3(x2243,a41)+~E(x2242,f38(x2244,x2243))+~E(f7(x2241),x2243)
% 4.39/4.42 [231]~P4(x2314)+~P2(x2313)+P3(x2311,x2312)+~E(f5(x2313,x2311),x2314)+~P3(x2311,f39(x2313))+~E(x2312,f6(x2313,x2314))
% 4.39/4.42 [244]~P2(x2443)+~P3(x2445,x2444)+P3(x2441,x2442)+~P7(x2444,f39(x2443))+~E(x2442,f34(x2443,x2444))+~E(f5(x2443,x2445),x2441)
% 4.39/4.42 [236]E(f42(x2362),f42(x2361))+~P7(x2361,a41)+~P7(x2362,a41)+~P3(f42(x2361),x2362)+~P3(f42(x2362),x2361)+E(x2361,a37)+E(x2362,a37)
% 4.39/4.42 [251]~P1(x2513)+~P1(x2512)+P7(x2512,x2513)+~P3(x2511,a41)+~P7(f38(x2512,x2511),f38(x2513,x2511))+E(x2511,a3)+E(f38(x2512,x2511),a37)
% 4.39/4.42 [273]~P1(x2731)+~P1(x2732)+~P4(x2733)+E(f28(x2732,x2733,x2731),x2733)+P3(f28(x2732,x2733,x2731),x2731)+P3(f28(x2732,x2733,x2731),x2732)+E(x2731,f35(x2732,x2733))
% 4.39/4.42 [279]~P1(x2791)+~P1(x2792)+~P4(x2793)+~E(f28(x2792,x2793,x2791),x2793)+~P3(f28(x2792,x2793,x2791),x2791)+E(x2791,f35(x2792,x2793))+~P4(f28(x2792,x2793,x2791))
% 4.39/4.42 [280]~P1(x2801)+~P1(x2802)+~P4(x2803)+~P3(f28(x2802,x2803,x2801),x2801)+~P3(f28(x2802,x2803,x2801),x2802)+E(x2801,f35(x2802,x2803))+~P4(f28(x2802,x2803,x2801))
% 4.39/4.42 [283]~P1(x2831)+~P1(x2832)+~P3(x2833,a41)+~P3(f14(x2832,x2833,x2831),x2831)+~P7(f14(x2832,x2833,x2831),x2832)+E(x2831,f38(x2832,x2833))+~E(f7(f14(x2832,x2833,x2831)),x2833)
% 4.39/4.42 [284]~P1(x2841)+~P4(x2843)+~P2(x2842)+~P3(f15(x2842,x2843,x2841),x2841)+~P3(f15(x2842,x2843,x2841),f39(x2842))+E(x2841,f6(x2842,x2843))+~E(f5(x2842,f15(x2842,x2843,x2841)),x2843)
% 4.39/4.42 [214]~P1(x2144)+~P4(x2142)+~P4(x2141)+~P3(x2141,x2144)+E(x2141,x2142)+P3(x2141,x2143)+~E(x2143,f36(x2144,x2142))
% 4.39/4.42 [277]~P1(x2771)+~P2(x2772)+~P3(x2774,x2773)+~P7(x2773,f39(x2772))+~P3(f16(x2772,x2773,x2771),x2771)+~E(f5(x2772,x2774),f16(x2772,x2773,x2771))+E(x2771,f34(x2772,x2773))
% 4.39/4.42 [285]~P1(x2851)+~P1(x2852)+~P4(x2853)+E(f27(x2852,x2853,x2851),x2853)+~P3(f27(x2852,x2853,x2851),x2851)+~P3(f27(x2852,x2853,x2851),x2852)+E(x2851,f36(x2852,x2853))+~P4(f27(x2852,x2853,x2851))
% 4.39/4.42 [269]~P6(x2692)+~P2(x2693)+~E(f39(x2693),f38(x2692,x2691))+~P3(x2691,a41)+~P7(x2692,a41)+~P8(x2691,a44)+P6(f21(x2691,x2692,x2693))+~P7(f34(x2693,f39(x2693)),a49)
% 4.39/4.42 [270]~P6(x2702)+~P2(x2703)+~E(f39(x2703),f38(x2702,x2701))+~P3(x2701,a41)+~P7(x2702,a41)+~P8(x2701,a44)+P3(f22(x2701,x2702,x2703),a49)+~P7(f34(x2703,f39(x2703)),a49)
% 4.39/4.42 [272]~P6(x2722)+~P2(x2723)+~E(f39(x2723),f38(x2722,x2721))+~P3(x2721,a41)+~P7(x2722,a41)+~P8(x2721,a44)+P7(f21(x2721,x2722,x2723),x2722)+~P7(f34(x2723,f39(x2723)),a49)
% 4.39/4.42 [286]~P6(x2864)+~P2(x2861)+~E(f39(x2861),f38(x2864,x2863))+~P3(x2863,a41)+~P7(x2864,a41)+~P8(x2863,a44)+E(f5(x2861,x2862),f22(x2863,x2864,x2861))+~P3(x2862,f38(f21(x2863,x2864,x2861),x2863))+~P7(f34(x2861,f39(x2861)),a49)
% 4.39/4.42 %EqnAxiom
% 4.39/4.42 [1]E(x11,x11)
% 4.39/4.42 [2]E(x22,x21)+~E(x21,x22)
% 4.39/4.42 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.39/4.42 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 4.39/4.42 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 4.39/4.42 [6]~E(x61,x62)+E(f39(x61),f39(x62))
% 4.39/4.42 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 4.39/4.42 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 4.39/4.42 [9]~E(x91,x92)+E(f15(x91,x93,x94),f15(x92,x93,x94))
% 4.39/4.42 [10]~E(x101,x102)+E(f15(x103,x101,x104),f15(x103,x102,x104))
% 4.39/4.42 [11]~E(x111,x112)+E(f15(x113,x114,x111),f15(x113,x114,x112))
% 4.39/4.42 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 4.39/4.42 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 4.39/4.42 [14]~E(x141,x142)+E(f36(x141,x143),f36(x142,x143))
% 4.39/4.42 [15]~E(x151,x152)+E(f36(x153,x151),f36(x153,x152))
% 4.39/4.42 [16]~E(x161,x162)+E(f38(x161,x163),f38(x162,x163))
% 4.39/4.42 [17]~E(x171,x172)+E(f38(x173,x171),f38(x173,x172))
% 4.39/4.42 [18]~E(x181,x182)+E(f14(x181,x183,x184),f14(x182,x183,x184))
% 4.39/4.42 [19]~E(x191,x192)+E(f14(x193,x191,x194),f14(x193,x192,x194))
% 4.39/4.42 [20]~E(x201,x202)+E(f14(x203,x204,x201),f14(x203,x204,x202))
% 4.39/4.42 [21]~E(x211,x212)+E(f40(x211),f40(x212))
% 4.39/4.42 [22]~E(x221,x222)+E(f34(x221,x223),f34(x222,x223))
% 4.39/4.42 [23]~E(x231,x232)+E(f34(x233,x231),f34(x233,x232))
% 4.39/4.42 [24]~E(x241,x242)+E(f10(x241,x243),f10(x242,x243))
% 4.39/4.42 [25]~E(x251,x252)+E(f10(x253,x251),f10(x253,x252))
% 4.39/4.42 [26]~E(x261,x262)+E(f11(x261,x263),f11(x262,x263))
% 4.39/4.42 [27]~E(x271,x272)+E(f11(x273,x271),f11(x273,x272))
% 4.39/4.42 [28]~E(x281,x282)+E(f32(x281,x283),f32(x282,x283))
% 4.39/4.42 [29]~E(x291,x292)+E(f32(x293,x291),f32(x293,x292))
% 4.39/4.42 [30]~E(x301,x302)+E(f16(x301,x303,x304),f16(x302,x303,x304))
% 4.39/4.42 [31]~E(x311,x312)+E(f16(x313,x311,x314),f16(x313,x312,x314))
% 4.39/4.42 [32]~E(x321,x322)+E(f16(x323,x324,x321),f16(x323,x324,x322))
% 4.39/4.42 [33]~E(x331,x332)+E(f27(x331,x333,x334),f27(x332,x333,x334))
% 4.39/4.42 [34]~E(x341,x342)+E(f27(x343,x341,x344),f27(x343,x342,x344))
% 4.39/4.42 [35]~E(x351,x352)+E(f27(x353,x354,x351),f27(x353,x354,x352))
% 4.39/4.42 [36]~E(x361,x362)+E(f30(x361,x363),f30(x362,x363))
% 4.39/4.42 [37]~E(x371,x372)+E(f30(x373,x371),f30(x373,x372))
% 4.39/4.42 [38]~E(x381,x382)+E(f42(x381),f42(x382))
% 4.39/4.42 [39]~E(x391,x392)+E(f7(x391),f7(x392))
% 4.39/4.42 [40]~E(x401,x402)+E(f43(x401),f43(x402))
% 4.39/4.42 [41]~E(x411,x412)+E(f28(x411,x413,x414),f28(x412,x413,x414))
% 4.39/4.42 [42]~E(x421,x422)+E(f28(x423,x421,x424),f28(x423,x422,x424))
% 4.39/4.42 [43]~E(x431,x432)+E(f28(x433,x434,x431),f28(x433,x434,x432))
% 4.39/4.42 [44]~E(x441,x442)+E(f35(x441,x443),f35(x442,x443))
% 4.39/4.42 [45]~E(x451,x452)+E(f35(x453,x451),f35(x453,x452))
% 4.39/4.42 [46]~E(x461,x462)+E(f21(x461,x463,x464),f21(x462,x463,x464))
% 4.39/4.42 [47]~E(x471,x472)+E(f21(x473,x471,x474),f21(x473,x472,x474))
% 4.39/4.42 [48]~E(x481,x482)+E(f21(x483,x484,x481),f21(x483,x484,x482))
% 4.39/4.42 [49]~E(x491,x492)+E(f18(x491,x493,x494),f18(x492,x493,x494))
% 4.39/4.42 [50]~E(x501,x502)+E(f18(x503,x501,x504),f18(x503,x502,x504))
% 4.39/4.42 [51]~E(x511,x512)+E(f18(x513,x514,x511),f18(x513,x514,x512))
% 4.39/4.42 [52]~E(x521,x522)+E(f13(x521,x523,x524),f13(x522,x523,x524))
% 4.39/4.42 [53]~E(x531,x532)+E(f13(x533,x531,x534),f13(x533,x532,x534))
% 4.39/4.42 [54]~E(x541,x542)+E(f13(x543,x544,x541),f13(x543,x544,x542))
% 4.39/4.42 [55]~E(x551,x552)+E(f26(x551,x553),f26(x552,x553))
% 4.39/4.42 [56]~E(x561,x562)+E(f26(x563,x561),f26(x563,x562))
% 4.39/4.42 [57]~E(x571,x572)+E(f8(x571),f8(x572))
% 4.39/4.42 [58]~E(x581,x582)+E(f22(x581,x583,x584),f22(x582,x583,x584))
% 4.39/4.42 [59]~E(x591,x592)+E(f22(x593,x591,x594),f22(x593,x592,x594))
% 4.39/4.42 [60]~E(x601,x602)+E(f22(x603,x604,x601),f22(x603,x604,x602))
% 4.39/4.42 [61]~E(x611,x612)+E(f19(x611),f19(x612))
% 4.39/4.42 [62]~E(x621,x622)+E(f25(x621),f25(x622))
% 4.39/4.42 [63]~E(x631,x632)+E(f31(x631,x633),f31(x632,x633))
% 4.39/4.42 [64]~E(x641,x642)+E(f31(x643,x641),f31(x643,x642))
% 4.39/4.42 [65]~E(x651,x652)+E(f23(x651),f23(x652))
% 4.39/4.42 [66]~E(x661,x662)+E(f9(x661),f9(x662))
% 4.39/4.42 [67]~E(x671,x672)+E(f33(x671,x673),f33(x672,x673))
% 4.39/4.42 [68]~E(x681,x682)+E(f33(x683,x681),f33(x683,x682))
% 4.39/4.42 [69]~E(x691,x692)+E(f24(x691),f24(x692))
% 4.39/4.42 [70]~E(x701,x702)+E(f17(x701,x703,x704,x705),f17(x702,x703,x704,x705))
% 4.39/4.42 [71]~E(x711,x712)+E(f17(x713,x711,x714,x715),f17(x713,x712,x714,x715))
% 4.39/4.42 [72]~E(x721,x722)+E(f17(x723,x724,x721,x725),f17(x723,x724,x722,x725))
% 4.39/4.42 [73]~E(x731,x732)+E(f17(x733,x734,x735,x731),f17(x733,x734,x735,x732))
% 4.39/4.42 [74]~E(x741,x742)+E(f20(x741),f20(x742))
% 4.39/4.42 [75]~E(x751,x752)+E(f29(x751,x753),f29(x752,x753))
% 4.39/4.42 [76]~E(x761,x762)+E(f29(x763,x761),f29(x763,x762))
% 4.39/4.42 [77]~E(x771,x772)+E(f12(x771,x773,x774),f12(x772,x773,x774))
% 4.39/4.42 [78]~E(x781,x782)+E(f12(x783,x781,x784),f12(x783,x782,x784))
% 4.39/4.42 [79]~E(x791,x792)+E(f12(x793,x794,x791),f12(x793,x794,x792))
% 4.39/4.42 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 4.39/4.42 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 4.39/4.42 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 4.39/4.42 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 4.39/4.42 [84]P9(x842,x843)+~E(x841,x842)+~P9(x841,x843)
% 4.39/4.43 [85]P9(x853,x852)+~E(x851,x852)+~P9(x853,x851)
% 4.39/4.43 [86]~P5(x861)+P5(x862)+~E(x861,x862)
% 4.39/4.43 [87]P7(x872,x873)+~E(x871,x872)+~P7(x871,x873)
% 4.39/4.43 [88]P7(x883,x882)+~E(x881,x882)+~P7(x883,x881)
% 4.39/4.43 [89]~P4(x891)+P4(x892)+~E(x891,x892)
% 4.39/4.43 [90]~P2(x901)+P2(x902)+~E(x901,x902)
% 4.39/4.43 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 4.39/4.43 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 4.39/4.43
% 4.39/4.43 %-------------------------------------------
% 4.39/4.43 cnf(290,plain,
% 4.39/4.43 (E(a44,f2(a1))),
% 4.39/4.43 inference(scs_inference,[],[93,2])).
% 4.39/4.43 cnf(291,plain,
% 4.39/4.43 (P9(a3,a3)),
% 4.39/4.43 inference(scs_inference,[],[114,93,2,152])).
% 4.39/4.43 cnf(293,plain,
% 4.39/4.43 (~P3(x2931,f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[114,93,94,2,152,139])).
% 4.39/4.43 cnf(295,plain,
% 4.39/4.43 (P1(f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[114,93,94,2,152,139,131])).
% 4.39/4.43 cnf(297,plain,
% 4.39/4.43 (~E(a50,a41)),
% 4.39/4.43 inference(scs_inference,[],[130,114,119,93,94,2,152,139,131,88])).
% 4.39/4.43 cnf(299,plain,
% 4.39/4.43 (~E(a41,f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,114,117,119,93,94,2,152,139,131,88,87,82])).
% 4.39/4.43 cnf(300,plain,
% 4.39/4.43 (P3(f2(a1),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,114,115,117,119,93,94,2,152,139,131,88,87,82,81])).
% 4.39/4.43 cnf(301,plain,
% 4.39/4.43 (P1(a37)),
% 4.39/4.43 inference(scs_inference,[],[130,114,115,117,119,93,94,2,152,139,131,88,87,82,81,80])).
% 4.39/4.43 cnf(302,plain,
% 4.39/4.43 (~E(a3,f2(a1))),
% 4.39/4.43 inference(scs_inference,[],[130,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3])).
% 4.39/4.43 cnf(303,plain,
% 4.39/4.43 (~P5(a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137])).
% 4.39/4.43 cnf(305,plain,
% 4.39/4.43 (~P6(f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134])).
% 4.39/4.43 cnf(307,plain,
% 4.39/4.43 (P9(f2(a3),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218])).
% 4.39/4.43 cnf(309,plain,
% 4.39/4.43 (P7(f4(a3),f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217])).
% 4.39/4.43 cnf(311,plain,
% 4.39/4.43 (P9(a3,a44)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146])).
% 4.39/4.43 cnf(313,plain,
% 4.39/4.43 (P7(a41,a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138])).
% 4.39/4.43 cnf(317,plain,
% 4.39/4.43 (~P9(f2(a3),a3)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170])).
% 4.39/4.43 cnf(325,plain,
% 4.39/4.43 (P9(a3,f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158])).
% 4.39/4.43 cnf(327,plain,
% 4.39/4.43 (P3(f24(a3),a49)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155])).
% 4.39/4.43 cnf(331,plain,
% 4.39/4.43 (P3(f2(a3),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153])).
% 4.39/4.43 cnf(333,plain,
% 4.39/4.43 (E(f7(f4(a3)),a3)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145])).
% 4.39/4.43 cnf(337,plain,
% 4.39/4.43 (P5(f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143])).
% 4.39/4.43 cnf(339,plain,
% 4.39/4.43 (~E(f2(a3),a3)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141])).
% 4.39/4.43 cnf(341,plain,
% 4.39/4.43 (~E(f2(a44),a3)),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140])).
% 4.39/4.43 cnf(343,plain,
% 4.39/4.43 (P4(f7(a41))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136])).
% 4.39/4.43 cnf(350,plain,
% 4.39/4.43 (E(f29(x3501,f2(a1)),f29(x3501,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76])).
% 4.39/4.43 cnf(361,plain,
% 4.39/4.43 (E(f23(f2(a1)),f23(a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65])).
% 4.39/4.43 cnf(381,plain,
% 4.39/4.43 (E(f35(x3811,f2(a1)),f35(x3811,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45])).
% 4.39/4.43 cnf(409,plain,
% 4.39/4.43 (E(f38(x4091,f2(a1)),f38(x4091,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 4.39/4.43 cnf(413,plain,
% 4.39/4.43 (E(f6(x4131,f2(a1)),f6(x4131,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 4.39/4.43 cnf(418,plain,
% 4.39/4.43 (E(f5(x4181,f2(a1)),f5(x4181,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 4.39/4.43 cnf(421,plain,
% 4.39/4.43 (E(f4(f2(a1)),f4(a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 4.39/4.43 cnf(422,plain,
% 4.39/4.43 (E(f2(f2(a1)),f2(a44))),
% 4.39/4.43 inference(scs_inference,[],[130,99,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 4.39/4.43 cnf(432,plain,
% 4.39/4.43 (~E(a37,a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86])).
% 4.39/4.43 cnf(433,plain,
% 4.39/4.43 (~P9(f2(a3),f7(f4(a3)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85])).
% 4.39/4.43 cnf(434,plain,
% 4.39/4.43 (~E(a3,f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84])).
% 4.39/4.43 cnf(436,plain,
% 4.39/4.43 (P4(a3)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151])).
% 4.39/4.43 cnf(438,plain,
% 4.39/4.43 (P1(a51)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150])).
% 4.39/4.43 cnf(440,plain,
% 4.39/4.43 (P1(f4(f2(a1)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148])).
% 4.39/4.43 cnf(442,plain,
% 4.39/4.43 (~P3(f7(a41),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161])).
% 4.39/4.43 cnf(444,plain,
% 4.39/4.43 (P3(f23(f2(a3)),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160])).
% 4.39/4.43 cnf(448,plain,
% 4.39/4.43 (E(f2(f23(f2(a3))),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147])).
% 4.39/4.43 cnf(450,plain,
% 4.39/4.43 (P7(f6(a53,f7(a41)),f39(a53))),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182])).
% 4.39/4.43 cnf(454,plain,
% 4.39/4.43 (~P3(f7(a41),a51)),
% 4.39/4.43 inference(scs_inference,[],[130,99,103,105,106,108,114,115,117,119,128,93,94,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192])).
% 4.39/4.43 cnf(456,plain,
% 4.39/4.43 (P5(f34(a53,f39(a53)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162])).
% 4.39/4.43 cnf(458,plain,
% 4.39/4.43 (~P3(f7(a41),f4(f2(a1)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186])).
% 4.39/4.43 cnf(474,plain,
% 4.39/4.43 (P7(f5(a46,a3),f5(a46,a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241])).
% 4.39/4.43 cnf(476,plain,
% 4.39/4.43 (~P9(f2(f2(a3)),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223])).
% 4.39/4.43 cnf(478,plain,
% 4.39/4.43 (~P7(f4(f2(a3)),f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222])).
% 4.39/4.43 cnf(480,plain,
% 4.39/4.43 (P9(f7(f34(a53,f39(a53))),f7(a49))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222,185])).
% 4.39/4.43 cnf(492,plain,
% 4.39/4.43 (~E(a41,f36(f4(a3),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,121,122,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222,185,200,228,250,274,216,204])).
% 4.39/4.43 cnf(494,plain,
% 4.39/4.43 (~E(f4(a3),f4(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,121,122,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222,185,200,228,250,274,216,204,221])).
% 4.39/4.43 cnf(498,plain,
% 4.39/4.43 (P3(f32(a3,a41),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,121,122,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222,185,200,228,250,274,216,204,221,191,232])).
% 4.39/4.43 cnf(500,plain,
% 4.39/4.43 (~E(f4(a3),f35(a41,f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[130,99,100,103,104,105,106,108,114,115,117,119,128,93,94,121,122,125,2,152,139,131,88,87,82,81,80,3,137,134,218,217,146,138,178,170,169,168,159,158,155,154,153,145,144,143,141,140,136,135,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,253,180,257,255,90,86,85,84,83,151,150,148,161,160,149,147,182,201,192,162,186,177,188,176,175,174,173,172,241,223,222,185,200,228,250,274,216,204,221,191,232,213])).
% 4.39/4.43 cnf(529,plain,
% 4.39/4.43 (~P9(a44,a3)),
% 4.39/4.43 inference(scs_inference,[],[128,115,114,476,331,311,202,245,179,215])).
% 4.39/4.43 cnf(531,plain,
% 4.39/4.43 (P9(f2(f32(f2(a3),f4(a3))),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[128,115,114,293,476,494,295,331,311,202,245,179,215,247])).
% 4.39/4.43 cnf(532,plain,
% 4.39/4.43 (~P3(x5321,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(535,plain,
% 4.39/4.43 (~P3(x5351,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(537,plain,
% 4.39/4.43 (P4(f28(a41,f7(a41),f4(a3)))),
% 4.39/4.43 inference(scs_inference,[],[128,115,99,114,293,532,535,500,476,494,295,343,492,331,311,202,245,179,215,247,264,261])).
% 4.39/4.43 cnf(538,plain,
% 4.39/4.43 (~P3(x5381,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(540,plain,
% 4.39/4.43 (~P9(f2(f32(a3,a41)),a3)),
% 4.39/4.43 inference(scs_inference,[],[128,115,99,114,293,532,535,500,299,476,494,295,343,492,331,498,311,202,245,179,215,247,264,261,263])).
% 4.39/4.43 cnf(542,plain,
% 4.39/4.43 (~E(a41,a37)),
% 4.39/4.43 inference(scs_inference,[],[116,128,115,99,114,293,532,535,500,299,476,494,295,343,492,331,498,311,202,245,179,215,247,264,261,263,139])).
% 4.39/4.43 cnf(544,plain,
% 4.39/4.43 (P4(a1)),
% 4.39/4.43 inference(scs_inference,[],[116,128,115,99,114,293,532,535,500,299,476,494,295,343,492,331,498,311,202,245,179,215,247,264,261,263,139,151])).
% 4.39/4.43 cnf(546,plain,
% 4.39/4.43 (P1(f34(a48,f39(a48)))),
% 4.39/4.43 inference(scs_inference,[],[116,126,128,100,115,99,114,293,532,535,500,299,476,494,295,343,492,331,498,311,202,245,179,215,247,264,261,263,139,151,150])).
% 4.39/4.43 cnf(548,plain,
% 4.39/4.43 (P3(f8(a41),a41)),
% 4.39/4.43 inference(scs_inference,[],[116,126,128,100,115,99,114,293,532,535,500,299,476,494,295,343,492,331,498,311,202,245,179,215,247,264,261,263,139,151,150,142])).
% 4.39/4.43 cnf(562,plain,
% 4.39/4.43 (E(f36(f35(f4(a3),f7(a41)),f7(a41)),f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[102,107,109,116,126,128,100,104,115,99,114,293,532,535,538,500,299,476,494,295,343,492,331,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200])).
% 4.39/4.43 cnf(563,plain,
% 4.39/4.43 (~P3(x5631,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(567,plain,
% 4.39/4.43 (~P7(a52,f39(a46))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,500,299,339,476,494,295,343,492,331,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88])).
% 4.39/4.43 cnf(569,plain,
% 4.39/4.43 (~P5(f39(a46))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,500,299,339,476,494,295,343,492,331,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86])).
% 4.39/4.43 cnf(570,plain,
% 4.39/4.43 (~P9(f2(f2(a3)),f2(f23(f2(a3))))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,500,448,299,339,476,494,295,343,492,331,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85])).
% 4.39/4.43 cnf(571,plain,
% 4.39/4.43 (~P3(x5711,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,563,500,448,299,339,476,494,295,343,492,331,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82])).
% 4.39/4.43 cnf(572,plain,
% 4.39/4.43 (~E(a1,f7(a41))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,563,500,448,299,339,476,494,295,343,492,331,442,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81])).
% 4.39/4.43 cnf(573,plain,
% 4.39/4.43 (P1(f4(a44))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,95,126,128,100,104,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80])).
% 4.39/4.43 cnf(575,plain,
% 4.39/4.43 (~P5(a50)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,129,95,126,128,100,104,94,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137])).
% 4.39/4.43 cnf(577,plain,
% 4.39/4.43 (~E(a50,a37)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,129,95,126,128,100,104,94,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134])).
% 4.39/4.43 cnf(579,plain,
% 4.39/4.43 (P3(f7(a49),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,129,95,126,128,100,104,94,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,498,303,311,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149])).
% 4.39/4.43 cnf(581,plain,
% 4.39/4.43 (~P3(f7(a41),a50)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,100,104,94,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192])).
% 4.39/4.43 cnf(583,plain,
% 4.39/4.43 (P5(f34(a48,f39(a48)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,100,104,94,115,99,114,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162])).
% 4.39/4.43 cnf(585,plain,
% 4.39/4.43 (P3(f2(a1),f4(f2(a44)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,100,104,94,115,99,114,93,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208])).
% 4.39/4.43 cnf(587,plain,
% 4.39/4.43 (P9(f2(a3),a44)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,100,104,94,115,99,114,93,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205])).
% 4.39/4.43 cnf(589,plain,
% 4.39/4.43 (P1(f38(a50,f2(a1)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177])).
% 4.39/4.43 cnf(600,plain,
% 4.39/4.43 (~E(f38(a50,a44),f38(a41,a1))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216])).
% 4.39/4.43 cnf(602,plain,
% 4.39/4.43 (P3(f32(f2(a3),f4(a3)),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232])).
% 4.39/4.43 cnf(603,plain,
% 4.39/4.43 (~P3(x6031,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(606,plain,
% 4.39/4.43 (~E(f5(a46,a3),f5(a46,a44))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38])).
% 4.39/4.43 cnf(607,plain,
% 4.39/4.43 (~P9(f2(a1),a3)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84])).
% 4.39/4.43 cnf(608,plain,
% 4.39/4.43 (~P6(f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,440,500,448,299,339,421,476,494,295,305,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83])).
% 4.39/4.43 cnf(610,plain,
% 4.39/4.43 (P7(f4(a3),a50)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,440,500,448,299,339,421,476,494,295,305,343,492,300,331,442,454,498,303,311,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197])).
% 4.39/4.43 cnf(611,plain,
% 4.39/4.43 (~P3(x6111,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(613,plain,
% 4.39/4.43 (~E(f7(a41),f42(a41))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,440,500,448,299,339,421,476,494,295,305,343,492,300,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166])).
% 4.39/4.43 cnf(615,plain,
% 4.39/4.43 (~E(f2(a3),f42(a41))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,440,500,448,299,339,421,476,494,295,305,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193])).
% 4.39/4.43 cnf(618,plain,
% 4.39/4.43 (~P3(x6181,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(622,plain,
% 4.39/4.43 (~P9(f2(a3),f29(a41,f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233])).
% 4.39/4.43 cnf(624,plain,
% 4.39/4.43 (P3(f29(a41,f2(a3)),a41)),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233,219])).
% 4.39/4.43 cnf(626,plain,
% 4.39/4.43 (P1(f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233,219,148])).
% 4.39/4.43 cnf(630,plain,
% 4.39/4.43 (~P9(f2(a44),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233,219,148,133,223])).
% 4.39/4.43 cnf(632,plain,
% 4.39/4.43 (~P7(f4(a44),f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,492,300,317,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233,219,148,133,223,222])).
% 4.39/4.43 cnf(636,plain,
% 4.39/4.43 (~P9(f2(a3),f23(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[130,102,107,109,116,118,129,95,126,128,122,100,104,94,115,99,114,93,409,293,532,535,538,563,603,611,618,440,500,448,299,339,421,476,494,295,305,337,343,444,492,300,317,327,331,442,454,498,303,311,313,438,202,245,179,215,247,264,261,263,139,151,150,142,182,201,188,176,175,185,200,191,88,87,86,85,82,81,80,3,137,134,149,192,162,208,205,177,174,173,172,241,216,232,2,38,84,83,89,197,166,193,235,207,233,219,148,133,223,222,228,218])).
% 4.39/4.43 cnf(670,plain,
% 4.39/4.43 (~P3(x6701,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(672,plain,
% 4.39/4.43 (~E(f42(f5(a46,a3)),f42(f5(a46,f2(a3))))),
% 4.39/4.43 inference(scs_inference,[],[114,309,571,333,434,295,331,224,245])).
% 4.39/4.43 cnf(675,plain,
% 4.39/4.43 (~P3(x6751,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(679,plain,
% 4.39/4.43 (~P3(f7(a50),a41)),
% 4.39/4.43 inference(scs_inference,[],[102,114,626,309,571,670,333,434,537,575,295,331,224,245,264,179,161])).
% 4.39/4.43 cnf(681,plain,
% 4.39/4.43 (P7(f4(f2(a3)),f4(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[102,114,626,309,571,670,307,333,434,537,575,295,331,224,245,264,179,161,217])).
% 4.39/4.43 cnf(683,plain,
% 4.39/4.43 (~E(f38(a50,a1),a37)),
% 4.39/4.43 inference(scs_inference,[],[116,102,114,626,309,571,670,307,333,434,537,575,295,331,224,245,264,179,161,217,176])).
% 4.39/4.43 cnf(687,plain,
% 4.39/4.43 (P7(f36(f35(f4(a3),f7(a41)),f7(a41)),a49)),
% 4.39/4.43 inference(scs_inference,[],[116,100,102,114,626,309,571,670,675,307,333,434,531,537,602,575,295,331,224,245,264,179,161,217,176,223,197])).
% 4.39/4.43 cnf(688,plain,
% 4.39/4.43 (~P3(x6881,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(690,plain,
% 4.39/4.43 (E(f36(f35(f4(a3),f7(a41)),f7(a41)),a37)),
% 4.39/4.43 inference(scs_inference,[],[116,100,102,114,626,309,571,670,675,688,307,333,434,531,537,602,575,295,331,224,245,264,179,161,217,176,223,197,142])).
% 4.39/4.43 cnf(691,plain,
% 4.39/4.43 (~P3(x6911,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(693,plain,
% 4.39/4.43 (~P7(f38(a50,a44),f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[122,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,602,575,295,331,224,245,264,179,161,217,176,223,197,142,192])).
% 4.39/4.43 cnf(694,plain,
% 4.39/4.43 (~P3(x6941,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(696,plain,
% 4.39/4.43 (~P5(a51)),
% 4.39/4.43 inference(scs_inference,[],[118,122,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,602,575,438,295,331,224,245,264,179,161,217,176,223,197,142,192,162])).
% 4.39/4.43 cnf(702,plain,
% 4.39/4.43 (P9(f7(f4(a3)),f7(f4(a3)))),
% 4.39/4.43 inference(scs_inference,[],[118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,602,301,575,337,438,295,331,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185])).
% 4.39/4.43 cnf(706,plain,
% 4.39/4.43 (~P7(a52,f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[96,118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,602,581,301,575,337,438,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88])).
% 4.39/4.43 cnf(707,plain,
% 4.39/4.43 (~P3(f7(a41),f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[96,118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,602,581,301,575,337,438,442,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82])).
% 4.39/4.43 cnf(710,plain,
% 4.39/4.43 (~E(a51,a37)),
% 4.39/4.43 inference(scs_inference,[],[96,106,118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,602,581,301,575,337,438,442,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134])).
% 4.39/4.43 cnf(716,plain,
% 4.39/4.43 (P3(a44,f4(f2(a44)))),
% 4.39/4.43 inference(scs_inference,[],[93,96,106,118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,585,602,581,301,575,337,438,442,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81])).
% 4.39/4.43 cnf(717,plain,
% 4.39/4.43 (P9(a3,a1)),
% 4.39/4.43 inference(scs_inference,[],[93,96,106,118,122,103,116,100,102,114,626,309,571,670,675,688,691,307,333,434,531,537,546,583,585,602,581,607,301,575,337,438,442,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205])).
% 4.39/4.43 cnf(720,plain,
% 4.39/4.43 (P9(f2(f2(a3)),f2(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[93,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,307,333,434,531,537,546,583,585,602,581,607,301,575,337,438,442,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218])).
% 4.39/4.43 cnf(722,plain,
% 4.39/4.43 (~P5(f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[93,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,307,333,434,531,537,546,583,585,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86])).
% 4.39/4.43 cnf(725,plain,
% 4.39/4.43 (E(a41,f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[93,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,307,606,333,433,434,531,537,546,583,585,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86,3,85,2])).
% 4.39/4.43 cnf(726,plain,
% 4.39/4.43 (~E(f2(f32(f2(a3),f4(a3))),f2(a44))),
% 4.39/4.43 inference(scs_inference,[],[93,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,307,606,333,433,434,531,537,546,583,585,630,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86,3,85,2,84])).
% 4.39/4.43 cnf(731,plain,
% 4.39/4.43 (~P3(x7311,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(733,plain,
% 4.39/4.43 (P7(f14(f4(a3),a3,f36(f35(f4(a3),f7(a41)),f7(a41))),f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[93,290,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,694,731,307,606,333,433,434,531,537,546,572,583,585,630,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86,3,85,2,84,38,229,209,268])).
% 4.39/4.43 cnf(734,plain,
% 4.39/4.43 (~P3(x7341,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(736,plain,
% 4.39/4.43 (E(f7(f14(f4(a3),a3,f36(f35(f4(a3),f7(a41)),f7(a41)))),a3)),
% 4.39/4.43 inference(scs_inference,[],[93,290,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,694,731,734,307,606,333,433,434,531,537,546,572,583,585,630,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86,3,85,2,84,38,229,209,268,266])).
% 4.39/4.43 cnf(739,plain,
% 4.39/4.43 (E(f7(f36(f35(f4(a3),f7(a41)),f7(a41))),a3)),
% 4.39/4.43 inference(scs_inference,[],[93,290,96,113,106,118,122,103,116,100,102,114,474,626,309,571,670,675,688,691,694,731,734,307,606,333,433,434,531,537,546,572,583,585,630,602,581,607,301,575,337,438,442,303,130,295,331,343,224,245,264,179,161,217,176,223,197,142,192,162,188,172,185,200,88,82,137,134,173,241,81,205,87,218,86,3,85,2,84,38,229,209,268,266,132])).
% 4.39/4.43 cnf(776,plain,
% 4.39/4.43 (~P3(x7761,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(778,plain,
% 4.39/4.43 (P3(f29(a41,a44),a41)),
% 4.39/4.43 inference(scs_inference,[],[122,115,114,529,542,436,571,313,626,193,204,219])).
% 4.39/4.43 cnf(782,plain,
% 4.39/4.43 (~P3(x7821,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(786,plain,
% 4.39/4.43 (E(f23(f2(a3)),a3)),
% 4.39/4.43 inference(scs_inference,[],[122,115,114,529,542,573,632,436,571,776,448,444,313,626,295,193,204,219,264,197,179])).
% 4.39/4.43 cnf(788,plain,
% 4.39/4.43 (P3(f8(a50),a50)),
% 4.39/4.43 inference(scs_inference,[],[122,102,115,114,529,542,573,577,632,436,571,776,448,444,313,626,295,193,204,219,264,197,179,142])).
% 4.39/4.43 cnf(792,plain,
% 4.39/4.43 (P3(f8(a50),a51)),
% 4.39/4.43 inference(scs_inference,[],[118,122,102,115,114,529,622,542,624,573,577,632,436,571,776,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192])).
% 4.39/4.43 cnf(794,plain,
% 4.39/4.43 (~P6(a49)),
% 4.39/4.43 inference(scs_inference,[],[118,122,104,102,115,100,114,529,622,542,624,573,577,632,436,571,776,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137])).
% 4.39/4.43 cnf(807,plain,
% 4.39/4.43 (~E(f5(a46,a3),f5(a46,f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[97,119,118,122,103,104,102,115,100,114,672,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38])).
% 4.39/4.43 cnf(808,plain,
% 4.39/4.43 (~P9(f2(f23(f2(a3))),f29(a41,f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[97,119,118,122,103,104,102,115,100,114,672,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38,84])).
% 4.39/4.43 cnf(809,plain,
% 4.39/4.43 (~E(f6(a48,f40(a48)),f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[97,123,119,118,122,103,104,102,115,100,114,672,608,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38,84,83])).
% 4.39/4.43 cnf(810,plain,
% 4.39/4.43 (~E(a44,a3)),
% 4.39/4.43 inference(scs_inference,[],[97,123,119,118,128,122,103,104,102,115,100,114,672,608,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38,84,83,2])).
% 4.39/4.43 cnf(813,plain,
% 4.39/4.43 (~P9(a44,f29(a41,a44))),
% 4.39/4.43 inference(scs_inference,[],[97,123,119,118,128,122,103,104,102,115,100,114,672,608,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,438,313,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38,84,83,2,256,233])).
% 4.39/4.43 cnf(826,plain,
% 4.39/4.43 (P3(f25(f8(a50)),a41)),
% 4.39/4.43 inference(scs_inference,[],[97,123,119,118,128,122,103,104,102,115,100,99,114,672,608,529,622,542,624,733,569,573,577,632,739,567,679,432,436,571,776,782,448,444,293,337,421,438,313,130,626,295,193,204,219,264,197,179,142,202,192,137,205,87,4,88,82,81,86,3,85,38,84,83,2,256,233,186,207,216,198,157,156])).
% 4.39/4.43 cnf(841,plain,
% 4.39/4.43 (~E(f36(f35(f4(a3),f7(a41)),f7(a41)),f36(a41,f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[116,99,544,572,571,343,214])).
% 4.39/4.43 cnf(842,plain,
% 4.39/4.43 (~P3(x8421,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(844,plain,
% 4.39/4.43 (~P3(a44,f4(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[116,115,99,114,544,810,572,571,293,343,214,235])).
% 4.39/4.43 cnf(845,plain,
% 4.39/4.43 (~P3(x8451,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(847,plain,
% 4.39/4.43 (P3(f23(a44),a41)),
% 4.39/4.43 inference(scs_inference,[],[116,115,99,114,544,810,572,571,293,343,214,235,160])).
% 4.39/4.43 cnf(849,plain,
% 4.39/4.43 (E(f2(f23(a44)),a44)),
% 4.39/4.43 inference(scs_inference,[],[116,115,99,114,544,810,572,571,293,343,214,235,160,147])).
% 4.39/4.43 cnf(851,plain,
% 4.39/4.43 (~E(f35(f4(a3),f7(a41)),a41)),
% 4.39/4.43 inference(scs_inference,[],[116,115,99,114,544,810,572,571,293,343,214,235,160,147,14])).
% 4.39/4.43 cnf(854,plain,
% 4.39/4.43 (~E(a49,f36(f36(f35(f4(a3),f7(a41)),f7(a41)),a1))),
% 4.39/4.43 inference(scs_inference,[],[121,116,115,99,114,544,810,572,571,842,293,679,542,313,626,343,214,235,160,147,14,166,204])).
% 4.39/4.43 cnf(855,plain,
% 4.39/4.43 (~P3(x8551,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(859,plain,
% 4.39/4.43 (~P3(x8591,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(864,plain,
% 4.39/4.43 (P7(f36(f35(f4(a3),f7(a41)),f7(a41)),f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[121,116,115,99,114,544,810,572,571,842,855,859,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197])).
% 4.39/4.43 cnf(865,plain,
% 4.39/4.43 (~P3(x8651,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(867,plain,
% 4.39/4.43 (~P7(f39(a45),a49)),
% 4.39/4.43 inference(scs_inference,[],[121,104,116,100,115,99,114,722,544,810,572,571,842,855,859,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162])).
% 4.39/4.43 cnf(869,plain,
% 4.39/4.43 (~P3(f7(a41),a52)),
% 4.39/4.43 inference(scs_inference,[],[119,121,104,116,100,102,115,99,114,722,544,810,572,581,571,842,855,859,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192])).
% 4.39/4.43 cnf(873,plain,
% 4.39/4.43 (~P7(f38(a50,f2(a1)),f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[119,121,104,116,100,102,115,99,114,540,693,722,544,810,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87])).
% 4.39/4.43 cnf(874,plain,
% 4.39/4.43 (E(f38(x8741,f2(a1)),f38(x8741,a44))),
% 4.39/4.43 inference(rename_variables,[],[409])).
% 4.39/4.43 cnf(876,plain,
% 4.39/4.43 (~E(f8(a50),f7(a41))),
% 4.39/4.43 inference(scs_inference,[],[124,119,121,104,116,100,102,115,99,114,540,693,722,788,544,810,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81])).
% 4.39/4.43 cnf(877,plain,
% 4.39/4.43 (~E(f32(f2(a3),f4(a3)),a44)),
% 4.39/4.43 inference(scs_inference,[],[124,119,121,104,116,100,102,115,99,114,540,693,726,722,788,544,810,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4])).
% 4.39/4.43 cnf(878,plain,
% 4.39/4.43 (~P7(f4(f2(a3)),f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(scs_inference,[],[124,119,121,104,116,100,102,115,99,114,540,693,726,722,788,544,810,478,562,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88])).
% 4.39/4.43 cnf(879,plain,
% 4.39/4.43 (~P5(f5(a46,a3))),
% 4.39/4.43 inference(scs_inference,[],[124,119,113,121,104,116,100,102,115,99,114,540,693,726,722,788,544,696,810,478,562,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86])).
% 4.39/4.43 cnf(880,plain,
% 4.39/4.43 (P9(f2(a3),f2(a1))),
% 4.39/4.43 inference(scs_inference,[],[124,290,119,113,121,104,116,100,102,115,99,114,540,693,726,722,587,788,544,696,810,478,562,498,572,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86,85])).
% 4.39/4.43 cnf(883,plain,
% 4.39/4.43 (~P9(f2(f2(a1)),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[94,124,290,119,113,121,104,116,100,102,115,99,114,807,540,422,693,726,722,587,788,544,696,810,478,562,498,572,630,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86,85,3,38,84])).
% 4.39/4.43 cnf(885,plain,
% 4.39/4.43 (E(a37,f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[94,124,290,123,119,113,121,104,116,100,102,115,99,114,807,540,422,693,726,722,587,788,544,696,794,810,478,562,498,572,630,581,571,842,855,859,409,293,845,679,542,337,313,626,295,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86,85,3,38,84,83,2])).
% 4.39/4.43 cnf(892,plain,
% 4.39/4.43 (~P9(f2(a44),a3)),
% 4.39/4.43 inference(scs_inference,[],[94,124,290,123,119,113,121,108,104,116,100,102,115,99,114,807,540,422,693,726,450,722,786,587,788,544,696,794,810,478,325,562,498,572,630,300,581,571,842,855,859,865,444,409,293,845,679,542,337,436,313,626,295,331,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86,85,3,38,84,83,2,281,239,187,221])).
% 4.39/4.43 cnf(900,plain,
% 4.39/4.43 (~P6(f34(a48,f39(a48)))),
% 4.39/4.43 inference(scs_inference,[],[94,124,290,123,119,113,121,108,104,116,100,102,115,99,114,807,540,422,693,726,450,710,722,786,587,788,544,696,794,810,478,325,562,498,546,572,583,630,300,581,571,842,855,859,865,444,409,874,293,845,679,542,337,436,438,313,626,295,331,343,214,235,160,147,14,166,204,264,207,197,162,192,205,87,82,81,4,88,86,85,3,38,84,83,2,281,239,187,221,142,216,137])).
% 4.39/4.43 cnf(912,plain,
% 4.39/4.43 (P7(a50,a41)),
% 4.39/4.43 inference(scs_inference,[],[118,117,102,99,438,211])).
% 4.39/4.43 cnf(914,plain,
% 4.39/4.43 (~P7(a41,a50)),
% 4.39/4.43 inference(scs_inference,[],[118,117,102,99,297,438,211,183])).
% 4.39/4.43 cnf(918,plain,
% 4.39/4.43 (~P9(f2(a1),f23(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[118,117,102,99,636,880,297,300,444,438,331,211,183,220,239])).
% 4.39/4.43 cnf(920,plain,
% 4.39/4.43 (E(f36(f4(a3),x9201),f36(a37,x9201))),
% 4.39/4.43 inference(scs_inference,[],[94,118,117,102,99,636,880,297,300,444,438,331,211,183,220,239,14])).
% 4.39/4.43 cnf(922,plain,
% 4.39/4.43 (~P3(x9221,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(930,plain,
% 4.39/4.43 (~P3(f7(a50),a51)),
% 4.39/4.43 inference(scs_inference,[],[94,118,117,102,99,879,636,880,297,546,583,300,571,922,444,293,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192])).
% 4.39/4.43 cnf(932,plain,
% 4.39/4.43 (P9(f2(f23(f2(a3))),f2(a3))),
% 4.39/4.43 inference(scs_inference,[],[94,118,117,102,99,879,636,880,297,546,583,300,571,922,444,293,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205])).
% 4.39/4.43 cnf(936,plain,
% 4.39/4.43 (P7(a37,a50)),
% 4.39/4.43 inference(scs_inference,[],[94,98,118,117,102,99,879,636,880,844,849,610,297,546,583,300,571,922,444,293,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205,82,81,87])).
% 4.39/4.43 cnf(938,plain,
% 4.39/4.43 (~P5(f39(a48))),
% 4.39/4.43 inference(scs_inference,[],[94,98,118,117,102,99,879,636,880,844,849,610,297,546,583,300,571,922,444,293,303,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205,82,81,87,4,86])).
% 4.39/4.43 cnf(939,plain,
% 4.39/4.43 (P7(f14(f4(a3),a3,f36(f35(f4(a3),f7(a41)),f7(a41))),a37)),
% 4.39/4.43 inference(scs_inference,[],[94,98,118,117,102,99,879,636,880,844,849,610,297,733,546,583,300,571,922,444,293,303,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205,82,81,87,4,86,88])).
% 4.39/4.43 cnf(941,plain,
% 4.39/4.43 (P6(f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[94,98,118,117,105,102,99,879,636,702,880,844,849,610,725,297,733,333,546,583,300,571,922,444,293,303,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205,82,81,87,4,86,88,85,83])).
% 4.39/4.43 cnf(942,plain,
% 4.39/4.43 (~E(f36(f35(f4(a3),f7(a41)),f7(a41)),f6(a48,f40(a48)))),
% 4.39/4.43 inference(scs_inference,[],[94,98,118,117,105,102,99,879,636,809,702,880,844,849,610,725,297,733,333,546,583,300,571,922,444,293,303,679,537,438,626,295,331,211,183,220,239,14,197,264,162,192,205,82,81,87,4,86,88,85,83,2])).
% 4.39/4.43 cnf(963,plain,
% 4.39/4.43 (P9(a1,a1)),
% 4.39/4.43 inference(scs_inference,[],[116,152])).
% 4.39/4.43 cnf(965,plain,
% 4.39/4.43 (P7(a49,a49)),
% 4.39/4.43 inference(scs_inference,[],[116,100,152,138])).
% 4.39/4.43 cnf(969,plain,
% 4.39/4.43 (P9(a1,f2(a1))),
% 4.39/4.43 inference(scs_inference,[],[116,100,152,138,159,158])).
% 4.39/4.43 cnf(973,plain,
% 4.39/4.43 (P4(f7(a49))),
% 4.39/4.43 inference(scs_inference,[],[116,100,152,138,159,158,145,136])).
% 4.39/4.43 cnf(975,plain,
% 4.39/4.43 (P1(f39(a45))),
% 4.39/4.43 inference(scs_inference,[],[110,116,100,152,138,159,158,145,136,135])).
% 4.39/4.43 cnf(981,plain,
% 4.39/4.43 (~E(f4(a3),f35(a41,a3))),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,99,114,436,152,138,159,158,145,136,135,180,257,213])).
% 4.39/4.43 cnf(982,plain,
% 4.39/4.43 (~P3(x9821,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(984,plain,
% 4.39/4.43 (P3(f2(a44),a41)),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,115,99,114,436,152,138,159,158,145,136,135,180,257,213,153])).
% 4.39/4.43 cnf(986,plain,
% 4.39/4.43 (P3(f2(a1),f4(f2(f2(a44))))),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,115,99,114,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229])).
% 4.39/4.43 cnf(988,plain,
% 4.39/4.43 (P7(f5(a46,a1),a41)),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,115,99,114,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178])).
% 4.39/4.43 cnf(990,plain,
% 4.39/4.43 (~P9(f2(f8(a41)),a3)),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,115,99,114,548,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178,170])).
% 4.39/4.43 cnf(994,plain,
% 4.39/4.43 (P6(f5(a46,a1))),
% 4.39/4.43 inference(scs_inference,[],[110,293,116,100,115,99,114,548,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168])).
% 4.39/4.43 cnf(1013,plain,
% 4.39/4.43 (E(f8(f39(a46)),f8(a41))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,116,100,115,99,114,548,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57])).
% 4.39/4.43 cnf(1018,plain,
% 4.39/4.43 (E(f35(f39(a46),x10181),f35(a41,x10181))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,116,100,115,99,114,548,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44])).
% 4.39/4.43 cnf(1021,plain,
% 4.39/4.43 (E(f7(f39(a46)),f7(a41))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,116,100,115,99,114,548,585,300,436,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39])).
% 4.39/4.43 cnf(1046,plain,
% 4.39/4.43 (E(f36(f4(a3),x10461),f36(a37,x10461))),
% 4.39/4.43 inference(rename_variables,[],[920])).
% 4.39/4.43 cnf(1049,plain,
% 4.39/4.43 (~P3(x10491,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(1053,plain,
% 4.39/4.43 (~E(f2(a1),a3)),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,116,100,115,99,114,548,920,876,792,736,585,300,436,301,295,343,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140])).
% 4.39/4.43 cnf(1055,plain,
% 4.39/4.43 (E(f38(f39(a46),x10551),f38(a41,x10551))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,116,100,115,99,114,548,920,876,792,736,585,300,436,301,295,343,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16])).
% 4.39/4.43 cnf(1058,plain,
% 4.39/4.43 (~P9(f2(a1),a1)),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,116,100,115,99,114,548,920,876,792,736,585,300,436,301,295,343,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215])).
% 4.39/4.43 cnf(1100,plain,
% 4.39/4.43 (P9(f2(a1),f2(a1))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,116,100,115,99,114,548,920,876,792,736,585,300,436,301,295,343,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218])).
% 4.39/4.43 cnf(1104,plain,
% 4.39/4.43 (P3(f27(a41,f7(a41),f36(f35(f4(a3),f7(a41)),f7(a41))),a41)),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,122,116,100,115,99,114,548,920,876,706,792,736,841,585,300,571,436,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264])).
% 4.39/4.43 cnf(1105,plain,
% 4.39/4.43 (~P3(x11051,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.43 inference(rename_variables,[],[571])).
% 4.39/4.43 cnf(1107,plain,
% 4.39/4.43 (~E(a41,f4(a1))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,122,116,100,115,99,114,548,920,876,706,792,736,841,585,300,571,436,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202])).
% 4.39/4.43 cnf(1110,plain,
% 4.39/4.43 (~P3(x11101,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(1112,plain,
% 4.39/4.43 (~P7(a49,f4(a3))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,1049,1110,121,122,116,100,115,99,114,548,920,876,706,792,736,841,585,300,571,436,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192])).
% 4.39/4.43 cnf(1113,plain,
% 4.39/4.43 (~P3(x11131,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(1117,plain,
% 4.39/4.43 (P9(f29(a41,f2(a3)),f23(f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[95,110,293,982,1049,1110,121,122,103,116,100,115,99,114,548,808,920,876,939,706,792,736,841,585,624,300,571,436,444,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205])).
% 4.39/4.43 cnf(1120,plain,
% 4.39/4.43 (~P3(x11201,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(1125,plain,
% 4.39/4.43 (~P9(f2(f23(f2(a3))),f29(f39(a46),f2(a3)))),
% 4.39/4.43 inference(scs_inference,[],[95,110,125,119,293,982,1049,1110,1113,121,122,104,103,116,100,115,99,114,548,808,920,876,938,939,706,792,867,736,841,585,624,300,442,571,436,444,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85])).
% 4.39/4.43 cnf(1126,plain,
% 4.39/4.43 (E(a41,f39(a46))),
% 4.39/4.43 inference(scs_inference,[],[95,110,125,119,293,982,1049,1110,1113,121,122,104,103,116,100,115,99,114,548,808,920,876,938,939,706,792,867,736,841,585,624,300,442,571,436,444,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2])).
% 4.39/4.43 cnf(1129,plain,
% 4.39/4.43 (~P9(f2(f23(a44)),f29(a41,a44))),
% 4.39/4.43 inference(scs_inference,[],[95,110,125,123,119,293,982,1049,1110,1113,121,122,104,103,116,100,115,99,114,548,808,813,920,900,876,938,939,851,706,792,867,736,841,585,849,624,300,442,571,436,444,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84])).
% 4.39/4.43 cnf(1131,plain,
% 4.39/4.43 (~P3(x11311,f4(a3))),
% 4.39/4.43 inference(rename_variables,[],[293])).
% 4.39/4.43 cnf(1133,plain,
% 4.39/4.43 (P1(f35(f39(a46),a3))),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,119,293,982,1049,1110,1113,1120,121,122,104,103,116,100,115,99,114,548,808,813,920,900,876,938,939,851,706,792,867,736,841,585,849,624,300,442,571,436,444,301,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163])).
% 4.39/4.44 cnf(1140,plain,
% 4.39/4.44 (~E(f4(a3),f38(a49,a3))),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,119,293,982,1049,1110,1113,1120,1131,121,122,104,103,116,100,115,99,114,548,808,813,920,1046,900,876,938,939,851,687,706,792,867,736,841,585,849,739,624,300,442,571,436,542,444,301,313,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163,164,193,224])).
% 4.39/4.44 cnf(1141,plain,
% 4.39/4.44 (~P3(x11411,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1143,plain,
% 4.39/4.44 (P4(f27(a41,f7(a41),f36(f35(f4(a3),f7(a41)),f7(a41))))),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,119,293,982,1049,1110,1113,1120,1131,121,122,104,103,116,100,115,99,114,548,808,813,920,1046,900,876,938,939,851,687,706,792,867,736,841,585,849,739,624,300,442,571,1105,436,542,444,301,313,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163,164,193,224,262])).
% 4.39/4.44 cnf(1144,plain,
% 4.39/4.44 (~P3(x11441,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.44 inference(rename_variables,[],[571])).
% 4.39/4.44 cnf(1153,plain,
% 4.39/4.44 (~E(f39(a45),a37)),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,106,119,293,982,1049,1110,1113,1120,1131,1141,121,122,104,103,116,100,102,115,99,114,548,808,813,920,1046,900,876,938,941,939,851,687,341,706,792,867,736,577,841,585,849,739,624,300,442,571,1105,436,542,444,301,438,313,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163,164,193,224,262,268,191,133,134])).
% 4.39/4.44 cnf(1155,plain,
% 4.39/4.44 (P9(f40(a48),x11551)+~E(x11551,f43(a49))+E(a49,a37)+~P7(a49,a41)),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,106,119,293,982,1049,1110,1113,1120,1131,1141,121,122,104,103,116,100,102,115,99,114,548,808,813,920,1046,900,876,938,941,939,851,687,341,706,792,867,736,577,841,585,849,739,624,300,442,571,1105,436,542,444,301,438,313,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163,164,193,224,262,268,191,133,134,203])).
% 4.39/4.44 cnf(1159,plain,
% 4.39/4.44 (~P4(f40(a48))+P3(f15(a48,f40(a48),f36(f35(f4(a3),f7(a41)),f7(a41))),f39(a48))),
% 4.39/4.44 inference(scs_inference,[],[95,110,125,123,106,119,293,982,1049,1110,1113,1120,1131,1141,112,121,122,104,103,116,100,102,115,99,114,548,942,808,813,920,1046,900,876,938,941,939,851,687,683,341,706,792,867,736,577,841,585,849,739,624,300,442,571,1105,1144,436,542,444,301,438,313,295,343,626,93,152,138,159,158,145,136,135,180,257,213,153,229,178,170,169,168,155,154,144,143,141,79,76,73,66,62,61,59,57,55,53,50,49,44,41,40,39,36,34,31,29,27,25,24,23,22,21,19,18,17,13,12,11,10,6,253,255,92,187,209,146,140,16,274,215,217,78,77,75,74,72,71,70,69,68,67,65,64,63,60,58,56,54,52,51,48,47,46,45,43,42,37,35,33,32,30,28,26,20,15,9,7,5,8,218,216,264,202,197,192,162,205,82,81,86,87,88,85,2,83,3,84,265,163,164,193,224,262,268,191,133,134,203,238,267])).
% 4.39/4.44 cnf(1164,plain,
% 4.39/4.44 (P9(f40(a48),f43(a49))+E(a49,a37)+~P7(a49,a41)),
% 4.39/4.44 inference(equality_inference,[],[1155])).
% 4.39/4.44 cnf(1166,plain,
% 4.39/4.44 (~P3(x11661,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1168,plain,
% 4.39/4.44 (P6(f5(a46,f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[293,100,116,114,994,1140,988,295,266,250])).
% 4.39/4.44 cnf(1170,plain,
% 4.39/4.44 (P4(f40(a48))),
% 4.39/4.44 inference(scs_inference,[],[293,121,100,116,114,994,1140,988,295,266,250,151])).
% 4.39/4.44 cnf(1172,plain,
% 4.39/4.44 (E(f35(f36(a49,f40(a48)),f40(a48)),a49)),
% 4.39/4.44 inference(scs_inference,[],[293,121,100,116,114,994,1140,988,295,266,250,151,201])).
% 4.39/4.44 cnf(1175,plain,
% 4.39/4.44 (~P3(x11751,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1178,plain,
% 4.39/4.44 (~P3(x11781,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.44 inference(rename_variables,[],[571])).
% 4.39/4.44 cnf(1180,plain,
% 4.39/4.44 (~E(f4(a3),f4(a44))),
% 4.39/4.44 inference(scs_inference,[],[293,1166,1175,112,121,100,115,99,116,114,994,1143,1140,988,1104,942,587,571,295,626,266,250,151,201,213,265,221])).
% 4.39/4.44 cnf(1181,plain,
% 4.39/4.44 (~P3(x11811,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1183,plain,
% 4.39/4.44 (P7(f6(a47,f27(a41,f7(a41),f36(f35(f4(a3),f7(a41)),f7(a41)))),f39(a47))),
% 4.39/4.44 inference(scs_inference,[],[111,293,1166,1175,112,121,100,115,99,116,114,994,1143,1140,988,1104,942,587,571,295,626,266,250,151,201,213,265,221,182])).
% 4.39/4.44 cnf(1185,plain,
% 4.39/4.44 (~P7(a50,a37)),
% 4.39/4.44 inference(scs_inference,[],[111,293,1166,1175,112,121,100,102,115,99,116,114,994,1143,1140,988,1104,936,942,587,577,571,301,295,626,266,250,151,201,213,265,221,182,183])).
% 4.39/4.44 cnf(1187,plain,
% 4.39/4.44 (P1(f34(a53,f39(a53)))),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,112,121,100,102,115,99,116,114,994,1143,1140,988,1104,936,942,587,577,571,301,295,626,266,250,151,201,213,265,221,182,183,150])).
% 4.39/4.44 cnf(1196,plain,
% 4.39/4.44 (E(f38(x11961,f2(a1)),f38(x11961,a44))),
% 4.39/4.44 inference(rename_variables,[],[409])).
% 4.39/4.44 cnf(1203,plain,
% 4.39/4.44 (~E(f38(a50,f2(a1)),a37)),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,107,112,121,100,102,115,99,116,114,994,1143,873,1018,589,1133,1140,988,1104,990,854,885,1053,936,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134])).
% 4.39/4.44 cnf(1205,plain,
% 4.39/4.44 (P3(f26(f36(f35(f4(a3),f7(a41)),f7(a41)),f38(a50,f2(a1))),f38(a50,f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,107,112,121,100,102,115,99,116,114,994,1143,873,1018,589,1133,1140,988,1104,990,854,885,1053,936,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197])).
% 4.39/4.44 cnf(1207,plain,
% 4.39/4.44 (~P7(f5(a46,a3),a49)),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,107,112,121,104,100,102,115,99,116,114,994,1143,873,1018,589,1133,1140,988,1104,990,854,885,1053,936,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162])).
% 4.39/4.44 cnf(1209,plain,
% 4.39/4.44 (~P5(f38(a50,f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,107,112,121,104,100,102,115,99,116,114,994,1143,873,1018,589,1133,1140,988,1104,990,854,885,1053,936,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137])).
% 4.39/4.44 cnf(1211,plain,
% 4.39/4.44 (~P3(x12111,a37)),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,873,1018,589,1133,1140,988,1104,990,854,885,1053,936,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82])).
% 4.39/4.44 cnf(1214,plain,
% 4.39/4.44 (~E(f36(f35(f4(a3),f7(a41)),f7(a41)),f38(a50,f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,873,1018,589,869,1021,1133,1140,988,1104,990,854,885,1053,936,864,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87])).
% 4.39/4.44 cnf(1218,plain,
% 4.39/4.44 (~E(a44,f32(f2(a3),f4(a3)))),
% 4.39/4.44 inference(scs_inference,[],[111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,350,1018,589,869,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2])).
% 4.39/4.44 cnf(1220,plain,
% 4.39/4.44 (~P9(a44,f23(f2(a3)))),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,350,1018,589,869,918,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,690,879,942,456,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84])).
% 4.39/4.44 cnf(1221,plain,
% 4.39/4.44 (~P6(f35(f36(a49,f40(a48)),f40(a48)))),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,350,1018,589,869,918,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,690,879,942,456,794,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83])).
% 4.39/4.44 cnf(1224,plain,
% 4.39/4.44 (P4(f28(a41,f27(a41,f7(a41),f36(f35(f4(a3),f7(a41)),f7(a41))),f4(a3)))),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,350,1018,589,869,918,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,690,879,942,456,794,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261])).
% 4.39/4.44 cnf(1225,plain,
% 4.39/4.44 (~P3(x12251,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1227,plain,
% 4.39/4.44 (P9(f2(f32(a44,f4(a3))),a44)),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,1225,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,350,1018,589,869,918,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,690,879,942,456,794,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261,247])).
% 4.39/4.44 cnf(1230,plain,
% 4.39/4.44 (P7(f30(a49,f7(f34(a53,f39(a53)))),a49)),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,1225,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,480,350,1018,589,869,918,1021,1133,1140,988,1104,990,854,885,1053,936,864,681,690,879,942,456,794,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261,247,230])).
% 4.39/4.44 cnf(1234,plain,
% 4.39/4.44 (~P3(f7(f39(a45)),a41)),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,1225,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,480,350,1018,589,869,918,1021,1133,975,1140,988,1104,716,990,854,885,984,1053,936,864,681,690,879,942,456,722,794,587,577,409,544,571,1178,300,301,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261,247,230,229,161])).
% 4.39/4.44 cnf(1238,plain,
% 4.39/4.44 (~P3(f8(a41),f36(f4(a3),f27(a41,f7(a41),f36(f35(f4(a3),f7(a41)),f7(a41)))))),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,1225,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,480,350,778,1018,589,869,918,1021,1133,975,1140,988,1104,716,990,854,885,984,1053,936,864,681,690,879,942,920,456,722,794,587,577,409,544,571,1178,542,300,301,313,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261,247,230,229,161,193,204])).
% 4.39/4.44 cnf(1248,plain,
% 4.39/4.44 (P3(f15(a48,f40(a48),f36(f35(f4(a3),f7(a41)),f7(a41))),f39(a48))),
% 4.39/4.44 inference(scs_inference,[],[290,129,111,125,293,1166,1175,1181,1225,107,112,121,104,100,102,115,99,116,114,994,1143,877,873,1129,878,480,350,778,1018,589,869,918,1021,1133,975,1140,988,1104,716,990,854,885,984,1053,1153,936,864,681,690,879,942,920,456,722,794,587,577,409,1196,544,571,1178,542,300,301,313,331,295,626,266,250,151,201,213,265,221,182,183,150,149,191,80,216,264,202,134,197,162,137,82,81,86,87,88,85,2,3,84,83,181,261,247,230,229,161,193,204,177,133,218,1159])).
% 4.39/4.44 cnf(1263,plain,
% 4.39/4.44 (E(f7(f14(a50,f2(a1),f36(f35(f4(a3),f7(a41)),f7(a41)))),f2(a1))),
% 4.39/4.44 inference(scs_inference,[],[102,1214,571,300,626,266])).
% 4.39/4.44 cnf(1264,plain,
% 4.39/4.44 (~P3(x12641,f36(f35(f4(a3),f7(a41)),f7(a41)))),
% 4.39/4.44 inference(rename_variables,[],[571])).
% 4.39/4.44 cnf(1268,plain,
% 4.39/4.44 (~E(f38(f38(a50,f2(a1)),a44),a37)),
% 4.39/4.44 inference(scs_inference,[],[102,115,1214,1209,788,589,571,300,626,266,201,176])).
% 4.39/4.44 cnf(1270,plain,
% 4.39/4.44 (P4(f28(a41,a3,f4(a3)))),
% 4.39/4.44 inference(scs_inference,[],[293,295,102,115,99,1214,1209,981,788,589,571,300,436,626,266,201,176,261])).
% 4.39/4.44 cnf(1271,plain,
% 4.39/4.44 (~P3(x12711,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1280,plain,
% 4.39/4.44 (P4(a44)),
% 4.39/4.44 inference(scs_inference,[],[293,295,102,115,99,114,1214,1209,981,892,788,984,622,589,587,624,571,1264,300,436,331,626,266,201,176,261,268,223,239,151])).
% 4.39/4.44 cnf(1284,plain,
% 4.39/4.44 (E(f36(f35(f4(a3),f7(a49)),f7(a49)),f4(a3))),
% 4.39/4.44 inference(scs_inference,[],[293,1271,103,295,102,115,99,114,1214,1209,1224,973,981,892,788,984,622,589,587,624,571,1264,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200])).
% 4.39/4.44 cnf(1285,plain,
% 4.39/4.44 (~P3(x12851,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1287,plain,
% 4.39/4.44 (P1(a52)),
% 4.39/4.44 inference(scs_inference,[],[119,293,1271,103,295,102,115,99,114,1214,1209,1224,973,981,892,788,984,622,589,587,624,571,1264,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150])).
% 4.39/4.44 cnf(1289,plain,
% 4.39/4.44 (~E(a49,a37)),
% 4.39/4.44 inference(scs_inference,[],[119,293,1271,121,103,295,102,115,99,114,1214,1209,1224,973,981,892,788,984,622,589,587,624,571,1264,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139])).
% 4.39/4.44 cnf(1291,plain,
% 4.39/4.44 (P3(f7(f4(a3)),a41)),
% 4.39/4.44 inference(scs_inference,[],[119,293,1271,121,103,295,102,115,99,114,1214,1209,1224,973,981,892,788,984,622,589,587,624,337,571,1264,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149])).
% 4.39/4.44 cnf(1304,plain,
% 4.39/4.44 (~P3(x13041,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1306,plain,
% 4.39/4.44 (E(f36(f39(a45),x13061),f36(a41,x13061))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,122,121,103,295,102,115,116,99,114,963,1214,1209,1224,973,981,892,939,788,984,622,589,587,624,337,571,1264,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14])).
% 4.39/4.44 cnf(1307,plain,
% 4.39/4.44 (P9(f2(f29(a41,f2(a3))),f2(f23(f2(a3))))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1224,973,981,892,939,788,984,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218])).
% 4.39/4.44 cnf(1309,plain,
% 4.39/4.44 (P1(f39(a46))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1224,973,981,1126,892,939,788,984,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80])).
% 4.39/4.44 cnf(1311,plain,
% 4.39/4.44 (~P3(x13111,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1316,plain,
% 4.39/4.44 (~P3(x13161,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1318,plain,
% 4.39/4.44 (~P7(f38(a50,f2(a1)),f4(a3))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1224,986,883,973,981,1126,892,939,788,984,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162])).
% 4.39/4.44 cnf(1321,plain,
% 4.39/4.44 (~P3(x13211,a37)),
% 4.39/4.44 inference(rename_variables,[],[1211])).
% 4.39/4.44 cnf(1323,plain,
% 4.39/4.44 (~P6(f34(a53,f39(a53)))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1187,1224,986,883,973,981,1211,1126,892,939,788,984,456,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137])).
% 4.39/4.44 cnf(1325,plain,
% 4.39/4.44 (~P3(f7(f39(a45)),f39(a45))),
% 4.39/4.44 inference(scs_inference,[],[96,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1187,1224,986,883,973,981,1211,1234,1126,892,939,788,984,456,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82])).
% 4.39/4.44 cnf(1327,plain,
% 4.39/4.44 (~P7(a41,f34(a47,f6(a48,f40(a48))))),
% 4.39/4.44 inference(scs_inference,[],[96,124,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1187,1224,986,883,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88])).
% 4.39/4.44 cnf(1328,plain,
% 4.39/4.44 (~P5(f34(a47,f6(a48,f40(a48))))),
% 4.39/4.44 inference(scs_inference,[],[96,124,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,1187,1224,986,883,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86])).
% 4.39/4.44 cnf(1330,plain,
% 4.39/4.44 (E(f39(a45),f39(a46))),
% 4.39/4.44 inference(scs_inference,[],[96,124,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,570,1187,720,1224,986,883,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3])).
% 4.39/4.44 cnf(1331,plain,
% 4.39/4.44 (~E(a1,f2(a1))),
% 4.39/4.44 inference(scs_inference,[],[96,124,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1209,1117,570,1187,720,1224,986,883,1058,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84])).
% 4.39/4.44 cnf(1333,plain,
% 4.39/4.44 (P6(f5(a46,a44))),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,111,119,293,1271,1285,1304,1311,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83])).
% 4.39/4.44 cnf(1336,plain,
% 4.39/4.44 (P3(f5(a48,f15(a48,f40(a48),f36(f35(f4(a3),f7(a41)),f7(a41)))),f34(a48,f39(a48)))),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,111,119,293,1271,1285,1304,1311,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237])).
% 4.39/4.44 cnf(1340,plain,
% 4.39/4.44 (P4(f2(a1))),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,293,1271,1285,1304,1311,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1234,1126,914,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89])).
% 4.39/4.44 cnf(1341,plain,
% 4.39/4.44 (~P3(a3,f35(f4(a3),f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,128,293,1271,1285,1304,1311,1316,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1234,1126,914,381,892,939,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89,209])).
% 4.39/4.44 cnf(1343,plain,
% 4.39/4.44 (~P3(x13431,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1349,plain,
% 4.39/4.44 (P7(f30(f4(a3),f7(f4(a3))),f4(a3))),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,128,293,1271,1285,1304,1311,1316,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1234,1126,914,381,702,892,939,341,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89,209,160,147,230])).
% 4.39/4.44 cnf(1351,plain,
% 4.39/4.44 (~P3(f7(f38(a50,f2(a1))),a41)),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,128,293,1271,1285,1304,1311,1316,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1234,1126,914,381,702,892,939,341,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89,209,160,147,230,161])).
% 4.39/4.44 cnf(1356,plain,
% 4.39/4.44 (E(f23(f2(a44)),a44)),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,128,293,1271,1285,1304,1311,1316,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1211,1321,1234,1126,914,381,702,892,939,341,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89,209,160,147,230,161,207,179])).
% 4.39/4.44 cnf(1358,plain,
% 4.39/4.44 (P3(f32(a44,f4(a3)),a41)),
% 4.39/4.44 inference(scs_inference,[],[96,120,124,290,111,119,128,293,1271,1285,1304,1311,1316,1343,112,122,121,103,295,102,115,116,99,114,963,1214,1168,1209,1117,418,570,1187,720,1224,986,883,1058,1248,973,981,1180,1211,1321,1234,1126,914,381,702,892,939,341,788,984,456,622,589,575,587,624,337,571,1264,444,300,301,436,331,626,266,201,176,261,268,223,239,151,172,200,150,139,149,182,173,188,241,185,204,14,218,80,264,202,192,162,197,137,82,87,88,86,85,3,84,2,83,1164,237,199,89,209,160,147,230,161,207,179,232])).
% 4.39/4.44 cnf(1370,plain,
% 4.39/4.44 (E(f7(f30(f4(a3),f7(f4(a3)))),f7(f4(a3)))),
% 4.39/4.44 inference(scs_inference,[],[295,1291,702,337,226])).
% 4.39/4.44 cnf(1372,plain,
% 4.39/4.44 (P1(f36(f35(f4(a3),f7(a49)),f7(a49)))),
% 4.39/4.44 inference(scs_inference,[],[295,114,1284,1291,702,337,226,148])).
% 4.39/4.44 cnf(1381,plain,
% 4.39/4.44 (E(f36(f35(f4(f2(a1)),f7(a41)),f7(a41)),f4(f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[295,116,99,114,1306,1284,1270,1309,1291,1341,458,880,440,569,702,337,300,343,226,148,164,221,176,200])).
% 4.39/4.44 cnf(1383,plain,
% 4.39/4.44 (~E(f7(f38(a50,f2(a1))),f42(a41))),
% 4.39/4.44 inference(scs_inference,[],[295,116,99,114,1306,1284,1270,1309,1351,1291,1341,458,880,440,569,702,542,337,300,313,343,226,148,164,221,176,200,166])).
% 4.39/4.44 cnf(1387,plain,
% 4.39/4.44 (P1(f38(f39(a46),a1))),
% 4.39/4.44 inference(scs_inference,[],[295,116,115,99,114,1306,1220,1284,1270,1309,1351,1291,1341,1055,458,880,440,569,702,542,444,337,300,313,343,226,148,164,221,176,200,166,223,177])).
% 4.39/4.44 cnf(1388,plain,
% 4.39/4.44 (E(f38(f39(a46),x13881),f38(a41,x13881))),
% 4.39/4.44 inference(rename_variables,[],[1055])).
% 4.39/4.44 cnf(1394,plain,
% 4.39/4.44 (P9(f7(a49),f7(a49))),
% 4.39/4.44 inference(scs_inference,[],[104,103,100,295,116,115,99,114,965,1306,1220,1284,1270,1309,1351,1291,1341,1055,458,969,880,440,569,702,542,444,337,300,313,301,343,226,148,164,221,176,200,166,223,177,188,241,185])).
% 4.39/4.44 cnf(1405,plain,
% 4.39/4.44 (P7(f4(a3),a41)),
% 4.39/4.44 inference(scs_inference,[],[96,126,293,104,103,100,295,116,115,99,114,965,1336,1306,1220,1284,1349,1270,1309,1351,1291,1341,1331,1055,458,969,607,880,440,569,702,542,444,337,300,313,301,343,226,148,164,221,176,200,166,223,177,188,241,185,179,5,202,192,162,197])).
% 4.39/4.44 cnf(1406,plain,
% 4.39/4.44 (~P3(x14061,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1424,plain,
% 4.39/4.44 (P7(f4(a3),f4(f9(f4(a3))))),
% 4.39/4.44 inference(scs_inference,[],[96,123,126,118,117,293,1406,122,104,103,100,295,102,116,115,99,114,965,1221,600,1336,1125,1306,1328,932,1220,1284,1349,1270,1207,1309,1351,1291,1341,1356,1331,1185,1055,458,969,607,851,880,440,569,702,725,988,542,444,337,438,300,313,301,343,226,148,164,221,176,200,166,223,177,188,241,185,179,5,202,192,162,197,4,81,82,87,88,86,85,3,2,84,83,167,211,181])).
% 4.39/4.44 cnf(1435,plain,
% 4.39/4.44 (~P3(a52,f38(f39(a46),a1))),
% 4.39/4.44 inference(scs_inference,[],[96,123,126,118,111,117,293,1406,122,104,103,100,295,102,116,115,99,114,965,1221,600,1336,1125,1306,1328,932,1220,1284,1349,1270,1207,1309,1351,1291,1341,1356,1331,1185,1280,1289,1055,1388,458,969,607,851,880,413,440,569,702,725,988,542,444,337,130,438,300,313,301,343,226,148,164,221,176,200,166,223,177,188,241,185,179,5,202,192,162,197,4,81,82,87,88,86,85,3,2,84,83,167,211,181,165,172,173,142,216])).
% 4.39/4.44 cnf(1451,plain,
% 4.39/4.44 (E(f38(x14511,f2(a1)),f38(x14511,a44))),
% 4.39/4.44 inference(rename_variables,[],[409])).
% 4.39/4.44 cnf(1468,plain,
% 4.39/4.44 (E(f38(x14681,f2(a1)),f38(x14681,a44))),
% 4.39/4.44 inference(rename_variables,[],[409])).
% 4.39/4.44 cnf(1481,plain,
% 4.39/4.44 (~P3(f7(a50),a50)),
% 4.39/4.44 inference(scs_inference,[],[106,118,102,295,115,99,116,114,1112,1100,1205,302,1381,707,1170,1340,930,932,1349,975,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192])).
% 4.39/4.44 cnf(1485,plain,
% 4.39/4.44 (E(f42(f39(a47)),f42(a41))),
% 4.39/4.44 inference(scs_inference,[],[97,106,118,102,295,115,99,116,114,1112,1100,1205,302,1381,707,1170,1340,930,1328,932,1349,1187,975,456,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192,162,38])).
% 4.39/4.44 cnf(1487,plain,
% 4.39/4.44 (~P3(x14871,f36(f35(f4(a3),f7(a49)),f7(a49)))),
% 4.39/4.44 inference(scs_inference,[],[97,106,118,293,102,295,115,99,116,114,1112,1100,1205,302,1381,1238,707,1170,1340,930,1013,1328,932,1349,1187,1284,975,456,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192,162,38,81,82])).
% 4.39/4.44 cnf(1492,plain,
% 4.39/4.44 (P9(f2(f32(a44,f4(a3))),f2(a1))),
% 4.39/4.44 inference(scs_inference,[],[97,297,290,106,118,293,104,102,295,115,99,116,114,1112,1100,1205,1227,302,1381,1238,707,1170,1340,1172,930,1013,1328,932,1349,1187,1284,975,1209,456,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192,162,38,81,82,87,86,3,88,85])).
% 4.39/4.44 cnf(1494,plain,
% 4.39/4.44 (E(a41,f39(a47))),
% 4.39/4.44 inference(scs_inference,[],[97,297,290,106,118,293,104,102,295,115,99,116,114,1112,1100,1205,1227,302,1263,1381,1238,707,1170,1340,1172,930,1013,918,1328,932,1349,1187,1284,975,1209,456,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192,162,38,81,82,87,86,3,88,85,84,2])).
% 4.39/4.44 cnf(1497,plain,
% 4.39/4.44 (E(f6(x14971,f2(a1)),f6(x14971,a44))),
% 4.39/4.44 inference(rename_variables,[],[413])).
% 4.39/4.44 cnf(1508,plain,
% 4.39/4.44 (P3(f23(f2(a1)),a41)),
% 4.39/4.44 inference(scs_inference,[],[97,297,290,106,118,110,293,104,102,295,115,99,116,114,1112,1100,1205,1227,302,717,1263,1323,1381,1424,1238,1325,707,1170,1340,1172,930,1405,1013,918,1328,932,1349,1053,1280,1187,413,1497,1284,975,1209,456,409,1451,1468,303,444,438,337,300,343,210,175,148,174,221,176,223,200,177,241,188,185,179,216,192,162,38,81,82,87,86,3,88,85,84,2,83,206,212,167,217,222,160])).
% 4.39/4.44 cnf(1528,plain,
% 4.39/4.44 (~E(f4(a3),f4(f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[293,1492,1358,300,221])).
% 4.39/4.44 cnf(1533,plain,
% 4.39/4.44 (P3(f32(a1,a41),a41)),
% 4.39/4.44 inference(scs_inference,[],[293,99,116,1394,1107,1492,1358,579,300,221,217,232])).
% 4.39/4.44 cnf(1535,plain,
% 4.39/4.44 (~E(f2(a1),f42(a41))),
% 4.39/4.44 inference(scs_inference,[],[293,99,116,1394,1107,1492,1358,579,1058,542,313,300,221,217,232,193])).
% 4.39/4.44 cnf(1541,plain,
% 4.39/4.44 (E(f36(f35(f4(a3),f7(a49)),f7(a49)),a37)),
% 4.39/4.44 inference(scs_inference,[],[293,99,116,1487,1394,1107,1372,1492,1485,1358,579,1058,542,313,300,221,217,232,193,166,223,142])).
% 4.39/4.44 cnf(1542,plain,
% 4.39/4.44 (~P3(x15421,f36(f35(f4(a3),f7(a49)),f7(a49)))),
% 4.39/4.44 inference(rename_variables,[],[1487])).
% 4.39/4.44 cnf(1544,plain,
% 4.39/4.44 (~P7(f38(a50,a44),f38(f39(a46),a1))),
% 4.39/4.44 inference(scs_inference,[],[293,122,99,116,1487,1394,1107,1372,1387,1492,1485,1358,1435,579,1058,542,313,300,221,217,232,193,166,223,142,192])).
% 4.39/4.44 cnf(1552,plain,
% 4.39/4.44 (P3(f42(a41),a41)),
% 4.39/4.44 inference(scs_inference,[],[120,293,122,104,100,99,116,1487,1542,1394,1107,1372,1387,1230,1492,1485,1358,1435,579,1058,542,313,300,221,217,232,193,166,223,142,192,162,197,4,81])).
% 4.39/4.44 cnf(1564,plain,
% 4.39/4.44 (~P9(f2(a1),f29(a41,f2(a1)))),
% 4.39/4.44 inference(scs_inference,[],[97,291,120,297,98,293,122,104,100,99,115,116,1487,1542,1394,1307,1107,1372,1387,1230,1492,1485,1183,1330,1358,1435,1327,1494,579,1058,990,941,1234,448,303,542,313,300,221,217,232,193,166,223,142,192,162,197,4,81,82,87,86,85,3,88,2,84,83,254,233])).
% 4.39/4.44 cnf(1580,plain,
% 4.39/4.44 (P9(a44,f2(a44))),
% 4.39/4.44 inference(scs_inference,[],[99,115,116,1533,1107,263,152,158])).
% 4.39/4.44 cnf(1588,plain,
% 4.39/4.44 (P3(f2(f25(f8(a50))),a41)),
% 4.39/4.44 inference(scs_inference,[],[111,99,115,116,826,1533,1107,263,152,158,145,135,257,153])).
% 4.39/4.44 cnf(1598,plain,
% 4.39/4.44 (P4(f7(a50))),
% 4.39/4.44 inference(scs_inference,[],[111,102,99,115,116,826,1533,1107,263,152,158,145,135,257,153,169,168,155,144,136])).
% 4.39/4.44 cnf(1609,plain,
% 4.39/4.44 (P8(a44,f2(a44))),
% 4.39/4.44 inference(scs_inference,[],[111,102,99,115,116,826,613,1533,1552,1107,1055,1234,421,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159])).
% 4.39/4.44 cnf(1613,plain,
% 4.39/4.44 (P7(f5(a46,a44),a41)),
% 4.39/4.44 inference(scs_inference,[],[111,102,99,115,116,826,613,1541,1533,1552,1107,1055,1234,1372,421,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178])).
% 4.39/4.44 cnf(1619,plain,
% 4.39/4.44 (~E(f2(a44),a44)),
% 4.39/4.44 inference(scs_inference,[],[111,102,99,115,116,826,613,1541,1533,1552,1107,1055,1234,1372,421,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178,154,143,141])).
% 4.39/4.44 cnf(1645,plain,
% 4.39/4.44 (~E(f2(f25(f8(a50))),a3)),
% 4.39/4.44 inference(scs_inference,[],[98,111,102,99,115,116,826,613,1541,1533,1552,1107,1055,1234,1372,421,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178,154,143,141,73,66,62,59,57,53,49,36,34,29,27,25,24,23,22,21,19,17,12,6,253,255,140])).
% 4.39/4.44 cnf(1651,plain,
% 4.39/4.44 (P3(f29(a41,f2(a1)),a41)),
% 4.39/4.44 inference(scs_inference,[],[98,111,102,99,115,116,826,613,1535,1541,1533,1552,1107,1055,1234,1372,421,542,313,300,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178,154,143,141,73,66,62,59,57,53,49,36,34,29,27,25,24,23,22,21,19,17,12,6,253,255,140,170,146,219])).
% 4.39/4.44 cnf(1672,plain,
% 4.39/4.44 (E(f35(f39(a48),x16721),f35(a41,x16721))),
% 4.39/4.44 inference(scs_inference,[],[98,290,111,102,99,115,116,826,613,1535,1541,1533,1552,1107,1055,1234,1372,421,542,313,300,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178,154,143,141,73,66,62,59,57,53,49,36,34,29,27,25,24,23,22,21,19,17,12,6,253,255,140,170,146,219,208,79,77,76,75,70,67,65,63,61,55,54,52,51,50,48,46,45,44])).
% 4.39/4.44 cnf(1687,plain,
% 4.39/4.44 (E(f38(f39(a48),x16871),f38(a41,x16871))),
% 4.39/4.44 inference(scs_inference,[],[98,290,111,102,99,115,116,826,613,1535,1541,1533,1552,1107,1055,1234,1372,421,542,313,300,263,152,158,145,135,257,153,169,168,155,144,136,180,186,210,138,159,132,178,154,143,141,73,66,62,59,57,53,49,36,34,29,27,25,24,23,22,21,19,17,12,6,253,255,140,170,146,219,208,79,77,76,75,70,67,65,63,61,55,54,52,51,50,48,46,45,44,42,41,40,39,37,35,32,31,18,15,13,11,10,9,16])).
% 4.39/4.44 cnf(1783,plain,
% 4.39/4.44 (~P3(x17831,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1786,plain,
% 4.39/4.44 (~P3(x17861,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1791,plain,
% 4.39/4.44 (~P3(x17911,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1797,plain,
% 4.39/4.44 (E(f38(f39(a48),x17971),f38(a41,x17971))),
% 4.39/4.44 inference(rename_variables,[],[1687])).
% 4.39/4.44 cnf(1804,plain,
% 4.39/4.44 (~P3(x18041,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1807,plain,
% 4.39/4.44 (~P3(x18071,f4(a3))),
% 4.39/4.44 inference(rename_variables,[],[293])).
% 4.39/4.44 cnf(1833,plain,
% 4.39/4.44 (~P7(f38(a50,f2(a1)),f38(f39(a46),a1))),
% 4.39/4.44 inference(scs_inference,[],[119,107,290,293,1783,1786,1791,1804,1807,122,295,102,99,116,115,1544,1370,1672,1687,1797,1383,1318,1564,847,1598,1218,1613,1203,1651,1588,1645,1508,1481,1580,1609,1619,361,602,1333,938,1552,1528,912,1349,1291,577,984,589,409,130,337,300,245,163,224,247,250,266,215,91,210,191,208,207,204,202,166,264,223,216,142,205,192,162,38,197,87])).
% 4.39/4.44 cnf(1883,plain,
% 4.39/4.44 ($false),
% 4.39/4.44 inference(scs_inference,[],[99,119,102,115,1833,615,1268,1387,1552,1287,912,810,589,130,331,251,245,211]),
% 4.39/4.44 ['proof']).
% 4.39/4.44 % SZS output end Proof
% 4.39/4.44 % Total time :3.700000s
%------------------------------------------------------------------------------