TSTP Solution File: NUM437+5 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:22:06 EDT 2023
% Result : Theorem 135.13s 135.32s
% Output : CNFRefutation 135.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 11:27:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 135.13/135.30 %-------------------------------------------
% 135.13/135.30 % File :CSE---1.6
% 135.13/135.30 % Problem :theBenchmark
% 135.13/135.30 % Transform :cnf
% 135.13/135.30 % Format :tptp:raw
% 135.13/135.30 % Command :java -jar mcs_scs.jar %d %s
% 135.13/135.30
% 135.13/135.30 % Result :Theorem 134.510000s
% 135.13/135.30 % Output :CNFRefutation 134.510000s
% 135.13/135.30 %-------------------------------------------
% 135.13/135.30 %------------------------------------------------------------------------------
% 135.13/135.30 % File : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 135.13/135.30 % Domain : Number Theory
% 135.13/135.30 % Problem : Fuerstenberg's infinitude of primes 07, 04 expansion
% 135.13/135.30 % Version : Especial.
% 135.13/135.30 % English :
% 135.13/135.30
% 135.13/135.30 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 135.13/135.30 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 135.13/135.30 % Source : [Pas08]
% 135.13/135.30 % Names : fuerst_07.04 [Pas08]
% 135.13/135.30
% 135.13/135.30 % Status : Theorem
% 135.13/135.30 % Rating : 0.47 v8.1.0, 0.42 v7.5.0, 0.50 v7.4.0, 0.40 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.39 v7.0.0, 0.57 v6.4.0, 0.54 v6.2.0, 0.64 v6.1.0, 0.73 v6.0.0, 0.61 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.65 v5.1.0, 0.76 v5.0.0, 0.88 v4.1.0, 0.91 v4.0.0
% 135.13/135.30 % Syntax : Number of formulae : 38 ( 2 unt; 10 def)
% 135.13/135.30 % Number of atoms : 214 ( 43 equ)
% 135.13/135.30 % Maximal formula atoms : 29 ( 5 avg)
% 135.13/135.30 % Number of connectives : 191 ( 15 ~; 8 |; 94 &)
% 135.13/135.30 % ( 18 <=>; 56 =>; 0 <=; 0 <~>)
% 135.13/135.30 % Maximal formula depth : 24 ( 7 avg)
% 135.13/135.30 % Maximal term depth : 3 ( 1 avg)
% 135.13/135.30 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% 135.13/135.30 % Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% 135.13/135.30 % Number of variables : 96 ( 85 !; 11 ?)
% 135.13/135.30 % SPC : FOF_THM_RFO_SEQ
% 135.13/135.30
% 135.13/135.30 % Comments : Problem generated by the SAD system [VLP07]
% 135.13/135.30 %------------------------------------------------------------------------------
% 135.13/135.30 fof(mIntegers,axiom,
% 135.13/135.30 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => $true ) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntZero,axiom,
% 135.13/135.31 aInteger0(sz00) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntOne,axiom,
% 135.13/135.31 aInteger0(sz10) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntNeg,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => aInteger0(smndt0(W0)) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntPlus,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1) )
% 135.13/135.31 => aInteger0(sdtpldt0(W0,W1)) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntMult,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1) )
% 135.13/135.31 => aInteger0(sdtasdt0(W0,W1)) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mAddAsso,axiom,
% 135.13/135.31 ! [W0,W1,W2] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2) )
% 135.13/135.31 => sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mAddComm,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1) )
% 135.13/135.31 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mAddZero,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( sdtpldt0(W0,sz00) = W0
% 135.13/135.31 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mAddNeg,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 135.13/135.31 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mMulAsso,axiom,
% 135.13/135.31 ! [W0,W1,W2] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2) )
% 135.13/135.31 => sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mMulComm,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1) )
% 135.13/135.31 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mMulOne,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( sdtasdt0(W0,sz10) = W0
% 135.13/135.31 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mDistrib,axiom,
% 135.13/135.31 ! [W0,W1,W2] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2) )
% 135.13/135.31 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 135.13/135.31 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mMulZero,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( sdtasdt0(W0,sz00) = sz00
% 135.13/135.31 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mMulMinOne,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 135.13/135.31 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mZeroDiv,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1) )
% 135.13/135.31 => ( sdtasdt0(W0,W1) = sz00
% 135.13/135.31 => ( W0 = sz00
% 135.13/135.31 | W1 = sz00 ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mDivisor,definition,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ! [W1] :
% 135.13/135.31 ( aDivisorOf0(W1,W0)
% 135.13/135.31 <=> ( aInteger0(W1)
% 135.13/135.31 & W1 != sz00
% 135.13/135.31 & ? [W2] :
% 135.13/135.31 ( aInteger0(W2)
% 135.13/135.31 & sdtasdt0(W1,W2) = W0 ) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mEquMod,definition,
% 135.13/135.31 ! [W0,W1,W2] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2)
% 135.13/135.31 & W2 != sz00 )
% 135.13/135.31 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 135.13/135.31 <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mEquModRef,axiom,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & W1 != sz00 )
% 135.13/135.31 => sdteqdtlpzmzozddtrp0(W0,W0,W1) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mEquModSym,axiom,
% 135.13/135.31 ! [W0,W1,W2] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2)
% 135.13/135.31 & W2 != sz00 )
% 135.13/135.31 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 135.13/135.31 => sdteqdtlpzmzozddtrp0(W1,W0,W2) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mEquModTrn,axiom,
% 135.13/135.31 ! [W0,W1,W2,W3] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2)
% 135.13/135.31 & W2 != sz00
% 135.13/135.31 & aInteger0(W3) )
% 135.13/135.31 => ( ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 135.13/135.31 & sdteqdtlpzmzozddtrp0(W1,W3,W2) )
% 135.13/135.31 => sdteqdtlpzmzozddtrp0(W0,W3,W2) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mEquModMul,axiom,
% 135.13/135.31 ! [W0,W1,W2,W3] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & aInteger0(W1)
% 135.13/135.31 & aInteger0(W2)
% 135.13/135.31 & W2 != sz00
% 135.13/135.31 & aInteger0(W3)
% 135.13/135.31 & W3 != sz00 )
% 135.13/135.31 => ( sdteqdtlpzmzozddtrp0(W0,W1,sdtasdt0(W2,W3))
% 135.13/135.31 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 135.13/135.31 & sdteqdtlpzmzozddtrp0(W0,W1,W3) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mPrime,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( ( aInteger0(W0)
% 135.13/135.31 & W0 != sz00 )
% 135.13/135.31 => ( isPrime0(W0)
% 135.13/135.31 => $true ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mPrimeDivisor,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aInteger0(W0)
% 135.13/135.31 => ( ? [W1] :
% 135.13/135.31 ( aDivisorOf0(W1,W0)
% 135.13/135.31 & isPrime0(W1) )
% 135.13/135.31 <=> ( W0 != sz10
% 135.13/135.31 & W0 != smndt0(sz10) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mSets,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aSet0(W0)
% 135.13/135.31 => $true ) ).
% 135.13/135.31
% 135.13/135.31 fof(mElements,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aSet0(W0)
% 135.13/135.31 => ! [W1] :
% 135.13/135.31 ( aElementOf0(W1,W0)
% 135.13/135.31 => $true ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mSubset,definition,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aSet0(W0)
% 135.13/135.31 => ! [W1] :
% 135.13/135.31 ( aSubsetOf0(W1,W0)
% 135.13/135.31 <=> ( aSet0(W1)
% 135.13/135.31 & ! [W2] :
% 135.13/135.31 ( aElementOf0(W2,W1)
% 135.13/135.31 => aElementOf0(W2,W0) ) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mFinSet,axiom,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aSet0(W0)
% 135.13/135.31 => ( isFinite0(W0)
% 135.13/135.31 => $true ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mUnion,definition,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aSubsetOf0(W0,cS1395)
% 135.13/135.31 & aSubsetOf0(W1,cS1395) )
% 135.13/135.31 => ! [W2] :
% 135.13/135.31 ( W2 = sdtbsmnsldt0(W0,W1)
% 135.13/135.31 <=> ( aSet0(W2)
% 135.13/135.31 & ! [W3] :
% 135.13/135.31 ( aElementOf0(W3,W2)
% 135.13/135.31 <=> ( aInteger0(W3)
% 135.13/135.31 & ( aElementOf0(W3,W0)
% 135.13/135.31 | aElementOf0(W3,W1) ) ) ) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mIntersection,definition,
% 135.13/135.31 ! [W0,W1] :
% 135.13/135.31 ( ( aSubsetOf0(W0,cS1395)
% 135.13/135.31 & aSubsetOf0(W1,cS1395) )
% 135.13/135.31 => ! [W2] :
% 135.13/135.31 ( W2 = sdtslmnbsdt0(W0,W1)
% 135.13/135.31 <=> ( aSet0(W2)
% 135.13/135.31 & ! [W3] :
% 135.13/135.31 ( aElementOf0(W3,W2)
% 135.13/135.31 <=> ( aInteger0(W3)
% 135.13/135.31 & aElementOf0(W3,W0)
% 135.13/135.31 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mUnionSet,definition,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( ( aSet0(W0)
% 135.13/135.31 & ! [W1] :
% 135.13/135.31 ( aElementOf0(W1,W0)
% 135.13/135.31 => aSubsetOf0(W1,cS1395) ) )
% 135.13/135.31 => ! [W1] :
% 135.13/135.31 ( W1 = sbsmnsldt0(W0)
% 135.13/135.31 <=> ( aSet0(W1)
% 135.13/135.31 & ! [W2] :
% 135.13/135.31 ( aElementOf0(W2,W1)
% 135.13/135.31 <=> ( aInteger0(W2)
% 135.13/135.31 & ? [W3] :
% 135.13/135.31 ( aElementOf0(W3,W0)
% 135.13/135.31 & aElementOf0(W2,W3) ) ) ) ) ) ) ).
% 135.13/135.31
% 135.13/135.31 fof(mComplement,definition,
% 135.13/135.31 ! [W0] :
% 135.13/135.31 ( aSubsetOf0(W0,cS1395)
% 135.13/135.31 => ! [W1] :
% 135.13/135.31 ( W1 = stldt0(W0)
% 135.13/135.31 <=> ( aSet0(W1)
% 135.13/135.32 & ! [W2] :
% 135.13/135.32 ( aElementOf0(W2,W1)
% 135.13/135.32 <=> ( aInteger0(W2)
% 135.13/135.32 & ~ aElementOf0(W2,W0) ) ) ) ) ) ).
% 135.13/135.32
% 135.13/135.32 fof(mArSeq,definition,
% 135.13/135.32 ! [W0,W1] :
% 135.13/135.32 ( ( aInteger0(W0)
% 135.13/135.32 & aInteger0(W1)
% 135.13/135.32 & W1 != sz00 )
% 135.13/135.32 => ! [W2] :
% 135.13/135.32 ( W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1)
% 135.13/135.32 <=> ( aSet0(W2)
% 135.13/135.32 & ! [W3] :
% 135.13/135.32 ( aElementOf0(W3,W2)
% 135.13/135.32 <=> ( aInteger0(W3)
% 135.13/135.32 & sdteqdtlpzmzozddtrp0(W3,W0,W1) ) ) ) ) ) ).
% 135.13/135.32
% 135.13/135.32 fof(mOpen,definition,
% 135.13/135.32 ! [W0] :
% 135.13/135.32 ( aSubsetOf0(W0,cS1395)
% 135.13/135.32 => ( isOpen0(W0)
% 135.13/135.32 <=> ! [W1] :
% 135.13/135.32 ( aElementOf0(W1,W0)
% 135.13/135.32 => ? [W2] :
% 135.13/135.32 ( aInteger0(W2)
% 135.13/135.32 & W2 != sz00
% 135.13/135.32 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) ) ) ) ).
% 135.13/135.32
% 135.13/135.32 fof(mClosed,definition,
% 135.13/135.32 ! [W0] :
% 135.13/135.32 ( aSubsetOf0(W0,cS1395)
% 135.13/135.32 => ( isClosed0(W0)
% 135.13/135.32 <=> isOpen0(stldt0(W0)) ) ) ).
% 135.13/135.32
% 135.13/135.32 fof(m__1750,hypothesis,
% 135.13/135.32 ( aSet0(xS)
% 135.13/135.32 & ! [W0] :
% 135.13/135.32 ( aElementOf0(W0,xS)
% 135.13/135.32 => ( aSet0(cS1395)
% 135.13/135.32 & ! [W1] :
% 135.13/135.32 ( aElementOf0(W1,cS1395)
% 135.13/135.32 <=> aInteger0(W1) )
% 135.13/135.32 & aSet0(W0)
% 135.13/135.32 & ! [W1] :
% 135.13/135.32 ( aElementOf0(W1,W0)
% 135.13/135.32 => aElementOf0(W1,cS1395) )
% 135.13/135.32 & aSubsetOf0(W0,cS1395)
% 135.13/135.32 & ! [W1] :
% 135.13/135.32 ( aElementOf0(W1,W0)
% 135.13/135.32 => ? [W2] :
% 135.13/135.32 ( aInteger0(W2)
% 135.13/135.32 & W2 != sz00
% 135.13/135.32 & aSet0(szAzrzSzezqlpdtcmdtrp0(W1,W2))
% 135.13/135.32 & ! [W3] :
% 135.13/135.32 ( ( aElementOf0(W3,szAzrzSzezqlpdtcmdtrp0(W1,W2))
% 135.13/135.32 => ( aInteger0(W3)
% 135.13/135.32 & ? [W4] :
% 135.13/135.32 ( aInteger0(W4)
% 135.13/135.32 & sdtasdt0(W2,W4) = sdtpldt0(W3,smndt0(W1)) )
% 135.13/135.32 & aDivisorOf0(W2,sdtpldt0(W3,smndt0(W1)))
% 135.13/135.32 & sdteqdtlpzmzozddtrp0(W3,W1,W2) ) )
% 135.13/135.32 & ( ( aInteger0(W3)
% 135.13/135.32 & ( ? [W4] :
% 135.13/135.32 ( aInteger0(W4)
% 135.13/135.32 & sdtasdt0(W2,W4) = sdtpldt0(W3,smndt0(W1)) )
% 135.13/135.32 | aDivisorOf0(W2,sdtpldt0(W3,smndt0(W1)))
% 135.13/135.32 | sdteqdtlpzmzozddtrp0(W3,W1,W2) ) )
% 135.13/135.32 => aElementOf0(W3,szAzrzSzezqlpdtcmdtrp0(W1,W2)) ) )
% 135.13/135.32 & ! [W3] :
% 135.13/135.32 ( aElementOf0(W3,szAzrzSzezqlpdtcmdtrp0(W1,W2))
% 135.13/135.32 => aElementOf0(W3,W0) )
% 135.13/135.32 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) )
% 135.13/135.32 & isOpen0(W0) ) ) ) ).
% 135.13/135.32
% 135.13/135.32 fof(m__,conjecture,
% 135.13/135.32 ( ( aSet0(sbsmnsldt0(xS))
% 135.13/135.32 & ! [W0] :
% 135.13/135.32 ( aElementOf0(W0,sbsmnsldt0(xS))
% 135.13/135.32 <=> ( aInteger0(W0)
% 135.13/135.32 & ? [W1] :
% 135.13/135.32 ( aElementOf0(W1,xS)
% 135.13/135.32 & aElementOf0(W0,W1) ) ) ) )
% 135.13/135.32 => ( ! [W0] :
% 135.13/135.32 ( aElementOf0(W0,sbsmnsldt0(xS))
% 135.13/135.32 => ? [W1] :
% 135.13/135.32 ( aInteger0(W1)
% 135.13/135.32 & W1 != sz00
% 135.13/135.32 & ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 135.13/135.32 & ! [W2] :
% 135.13/135.32 ( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 135.13/135.32 => ( aInteger0(W2)
% 135.13/135.32 & ? [W3] :
% 135.13/135.32 ( aInteger0(W3)
% 135.13/135.32 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 135.13/135.32 & aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 135.13/135.32 & sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 135.13/135.32 & ( ( aInteger0(W2)
% 135.13/135.32 & ( ? [W3] :
% 135.13/135.32 ( aInteger0(W3)
% 135.13/135.32 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 135.13/135.32 | aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 135.13/135.32 | sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 135.13/135.32 => aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) ) )
% 135.13/135.32 => ( ! [W2] :
% 135.13/135.32 ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 135.13/135.32 => aElementOf0(W2,sbsmnsldt0(xS)) )
% 135.13/135.32 | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),sbsmnsldt0(xS)) ) ) ) )
% 135.13/135.32 | isOpen0(sbsmnsldt0(xS)) ) ) ).
% 135.13/135.32
% 135.13/135.32 %------------------------------------------------------------------------------
% 135.13/135.32 %-------------------------------------------
% 135.13/135.32 % Proof found
% 135.13/135.32 % SZS status Theorem for theBenchmark
% 135.13/135.32 % SZS output start Proof
% 135.13/135.32 %ClaNum:207(EqnAxiom:67)
% 135.13/135.32 %VarNum:1053(SingletonVarNum:317)
% 135.13/135.32 %MaxLitNum:8
% 135.13/135.32 %MaxfuncDepth:2
% 135.13/135.32 %SharedTerms:15
% 135.13/135.32 %goalClause: 71 72 73 92 99 113 114 115 117 127 133 134 142 151 155 160 163 164 170
% 135.13/135.32 %singleGoalClaCount:3
% 135.13/135.32 [68]P1(a1)
% 135.13/135.32 [69]P1(a29)
% 135.13/135.32 [70]P4(a30)
% 135.13/135.32 [71]P4(f2(a30))
% 135.13/135.32 [72]P2(a3,f2(a30))
% 135.13/135.32 [73]~P5(f2(a30))
% 135.13/135.32 [74]~P6(x741)+P4(a4)
% 135.13/135.32 [75]~P6(x751)+P4(x751)
% 135.13/135.32 [76]~P6(x761)+P5(x761)
% 135.13/135.32 [80]~P6(x801)+P7(x801,a4)
% 135.13/135.32 [86]P6(x861)+~P2(x861,a30)
% 135.13/135.32 [77]~P1(x771)+P1(f23(x771))
% 135.13/135.32 [78]~P1(x781)+E(f24(a1,x781),a1)
% 135.13/135.32 [79]~P1(x791)+E(f24(x791,a1),a1)
% 135.13/135.32 [81]~P1(x811)+E(f25(a1,x811),x811)
% 135.13/135.32 [82]~P1(x821)+E(f24(a29,x821),x821)
% 135.13/135.32 [83]~P1(x831)+E(f25(x831,a1),x831)
% 135.13/135.32 [84]~P1(x841)+E(f24(x841,a29),x841)
% 135.13/135.32 [92]P1(x921)+~P2(x921,f2(a30))
% 135.13/135.32 [114]~P2(x1141,f2(a30))+P2(f9(x1141),a30)
% 135.13/135.32 [115]P2(x1151,f9(x1151))+~P2(x1151,f2(a30))
% 135.13/135.32 [88]~P1(x881)+E(f25(f23(x881),x881),a1)
% 135.13/135.32 [89]~P1(x891)+E(f25(x891,f23(x891)),a1)
% 135.13/135.32 [90]~P1(x901)+E(f24(x901,f23(a29)),f23(x901))
% 135.13/135.32 [91]~P1(x911)+E(f24(f23(a29),x911),f23(x911))
% 135.13/135.32 [99]~P1(x991)+E(x991,a1)+P4(f31(a3,x991))
% 135.13/135.32 [100]~P8(x1001)+~P7(x1001,a4)+P5(f28(x1001))
% 135.13/135.32 [104]P8(x1041)+~P7(x1041,a4)+~P5(f28(x1041))
% 135.13/135.32 [112]P5(x1121)+P2(f5(x1121),x1121)+~P7(x1121,a4)
% 135.13/135.32 [113]~P1(x1131)+E(x1131,a1)+~P2(f11(x1131),f2(a30))
% 135.13/135.32 [117]~P1(x1171)+E(x1171,a1)+P2(f11(x1171),f31(a3,x1171))
% 135.13/135.32 [134]~P1(x1341)+E(x1341,a1)+~P7(f31(a3,x1341),f2(a30))
% 135.13/135.32 [87]~P1(x871)+~P6(x872)+P2(x871,a4)
% 135.13/135.32 [93]P1(x931)+~P6(x932)+~P2(x931,a4)
% 135.13/135.32 [94]~P3(x941,x942)+~P1(x942)+~E(x941,a1)
% 135.13/135.32 [97]~P3(x971,x972)+P1(x971)+~P1(x972)
% 135.13/135.32 [98]~P7(x981,x982)+P4(x981)+~P4(x982)
% 135.13/135.32 [107]~P2(x1071,x1072)+~P6(x1072)+P2(x1071,a4)
% 135.13/135.32 [96]P4(x961)+~P7(x962,a4)+~E(x961,f28(x962))
% 135.13/135.32 [105]~P1(x1052)+~P1(x1051)+E(f25(x1051,x1052),f25(x1052,x1051))
% 135.13/135.32 [106]~P1(x1062)+~P1(x1061)+E(f24(x1061,x1062),f24(x1062,x1061))
% 135.13/135.32 [110]~P1(x1102)+~P1(x1101)+P1(f25(x1101,x1102))
% 135.13/135.32 [111]~P1(x1112)+~P1(x1111)+P1(f24(x1111,x1112))
% 135.13/135.32 [118]~P6(x1181)+~P2(x1182,x1181)+~E(f13(x1181,x1182),a1)
% 135.13/135.32 [120]~P1(x1201)+~P3(x1202,x1201)+P1(f14(x1201,x1202))
% 135.13/135.32 [121]~P6(x1211)+~P2(x1212,x1211)+P1(f13(x1211,x1212))
% 135.13/135.32 [132]~P1(x1322)+~P3(x1321,x1322)+E(f24(x1321,f14(x1322,x1321)),x1322)
% 135.13/135.32 [153]~P6(x1532)+~P2(x1531,x1532)+P4(f31(x1531,f13(x1532,x1531)))
% 135.13/135.32 [162]~P6(x1622)+~P2(x1621,x1622)+P7(f31(x1621,f13(x1622,x1621)),x1622)
% 135.13/135.32 [85]~P1(x851)+E(x851,a29)+E(x851,f23(a29))+P9(f10(x851))
% 135.13/135.32 [95]~P1(x951)+P3(f10(x951),x951)+E(x951,a29)+E(x951,f23(a29))
% 135.13/135.32 [101]~P1(x1011)+~P3(x1012,x1011)+~P9(x1012)+~E(x1011,a29)
% 135.13/135.32 [131]~P1(x1311)+~P1(x1312)+P10(x1312,x1312,x1311)+E(x1311,a1)
% 135.13/135.32 [103]~P4(x1032)+P4(x1031)+~E(x1031,f2(x1032))+P2(f16(x1032),x1032)
% 135.13/135.32 [108]~P1(x1081)+~P3(x1082,x1081)+~P9(x1082)+~E(x1081,f23(a29))
% 135.13/135.32 [116]~P4(x1162)+P4(x1161)+~E(x1161,f2(x1162))+~P7(f16(x1162),a4)
% 135.13/135.32 [127]~P1(x1271)+~P2(x1271,x1272)+~P2(x1272,a30)+P2(x1271,f2(a30))
% 135.13/135.32 [128]~P4(x1281)+~P4(x1282)+P7(x1281,x1282)+P2(f17(x1282,x1281),x1281)
% 135.13/135.32 [133]~P1(x1331)+P1(x1332)+E(x1331,a1)+~P2(x1332,f31(a3,x1331))
% 135.13/135.32 [136]~P5(x1361)+~P2(x1362,x1361)+~P7(x1361,a4)+~E(f6(x1361,x1362),a1)
% 135.13/135.32 [138]~P5(x1381)+~P2(x1382,x1381)+~P7(x1381,a4)+P1(f6(x1381,x1382))
% 135.13/135.32 [141]~P4(x1411)+~P4(x1412)+P7(x1411,x1412)+~P2(f17(x1412,x1411),x1412)
% 135.13/135.32 [142]~P1(x1421)+E(x1421,a1)+~P2(x1422,f31(a3,x1421))+P1(f12(x1421,x1422))
% 135.13/135.32 [160]~P1(x1601)+P10(x1602,a3,x1601)+E(x1601,a1)+~P2(x1602,f31(a3,x1601))
% 135.13/135.32 [155]~P1(x1551)+E(x1551,a1)+~P2(x1552,f31(a3,x1551))+P3(x1551,f25(x1552,f23(a3)))
% 135.13/135.32 [163]~P1(x1631)+E(x1631,a1)+~P2(x1632,f31(a3,x1631))+E(f24(x1631,f12(x1631,x1632)),f25(x1632,f23(a3)))
% 135.13/135.32 [171]~P5(x1712)+~P2(x1711,x1712)+~P7(x1712,a4)+P7(f31(x1711,f6(x1712,x1711)),x1712)
% 135.13/135.32 [125]~P4(x1252)+~P7(x1253,x1252)+P2(x1251,x1252)+~P2(x1251,x1253)
% 135.13/135.32 [119]~P2(x1191,x1192)+P1(x1191)+~P7(x1193,a4)+~E(x1192,f28(x1193))
% 135.13/135.32 [129]P4(x1291)+~P7(x1293,a4)+~P7(x1292,a4)+~E(x1291,f26(x1292,x1293))
% 135.13/135.32 [130]P4(x1301)+~P7(x1303,a4)+~P7(x1302,a4)+~E(x1301,f27(x1302,x1303))
% 135.13/135.32 [137]~P2(x1373,x1372)+~P2(x1373,x1371)+~P7(x1372,a4)+~E(x1371,f28(x1372))
% 135.13/135.32 [143]~P1(x1433)+~P1(x1432)+~P1(x1431)+E(f25(f25(x1431,x1432),x1433),f25(x1431,f25(x1432,x1433)))
% 135.13/135.32 [144]~P1(x1443)+~P1(x1442)+~P1(x1441)+E(f24(f24(x1441,x1442),x1443),f24(x1441,f24(x1442,x1443)))
% 135.13/135.32 [165]~P1(x1653)+~P1(x1652)+~P1(x1651)+E(f25(f24(x1651,x1652),f24(x1651,x1653)),f24(x1651,f25(x1652,x1653)))
% 135.13/135.32 [166]~P1(x1662)+~P1(x1663)+~P1(x1661)+E(f25(f24(x1661,x1662),f24(x1663,x1662)),f24(f25(x1661,x1663),x1662))
% 135.13/135.32 [178]P1(x1781)+~P2(x1783,x1782)+~P6(x1782)+~P2(x1781,f31(x1783,f13(x1782,x1783)))
% 135.13/135.32 [182]~P6(x1822)+P2(x1821,x1822)+~P2(x1823,x1822)+~P2(x1821,f31(x1823,f13(x1822,x1823)))
% 135.13/135.32 [191]~P6(x1911)+~P2(x1912,x1911)+~P2(x1913,f31(x1912,f13(x1911,x1912)))+P3(f13(x1911,x1912),f25(x1913,f23(x1912)))
% 135.13/135.32 [192]~P6(x1923)+~P2(x1922,x1923)+P10(x1921,x1922,f13(x1923,x1922))+~P2(x1921,f31(x1922,f13(x1923,x1922)))
% 135.13/135.32 [196]~P6(x1961)+~P2(x1962,x1961)+~P2(x1963,f31(x1962,f13(x1961,x1962)))+P1(f15(x1961,x1962,x1963))
% 135.13/135.32 [202]~P6(x2021)+~P2(x2022,x2021)+E(f24(f13(x2021,x2022),f15(x2021,x2022,x2023)),f25(x2023,f23(x2022)))+~P2(x2023,f31(x2022,f13(x2021,x2022)))
% 135.13/135.32 [102]~P1(x1021)+~P1(x1022)+E(x1021,a1)+E(x1022,a1)+~E(f24(x1022,x1021),a1)
% 135.13/135.32 [148]~P4(x1481)+P2(f7(x1482,x1481),x1481)+~P7(x1482,a4)+E(x1481,f28(x1482))+P1(f7(x1482,x1481))
% 135.13/135.32 [169]~P4(x1691)+P2(f7(x1692,x1691),x1691)+~P7(x1692,a4)+~P2(f7(x1692,x1691),x1692)+E(x1691,f28(x1692))
% 135.13/135.32 [170]~P1(x1701)+~P1(x1702)+~P10(x1702,a3,x1701)+E(x1701,a1)+P2(x1702,f31(a3,x1701))
% 135.13/135.32 [156]~P1(x1561)+P5(x1562)+~P7(x1562,a4)+E(x1561,a1)+~P7(f31(f5(x1562),x1561),x1562)
% 135.13/135.32 [164]~P1(x1642)+~P1(x1641)+E(x1641,a1)+P2(x1642,f31(a3,x1641))+~P3(x1641,f25(x1642,f23(a3)))
% 135.13/135.32 [109]~P1(x1091)+~P1(x1093)+P4(x1092)+E(x1091,a1)+~E(x1092,f31(x1093,x1091))
% 135.13/135.32 [123]~P4(x1232)+~P2(x1231,x1233)+P1(x1231)+P2(f16(x1232),x1232)+~E(x1233,f2(x1232))
% 135.13/135.32 [124]~P1(x1241)+P2(x1241,x1242)+P2(x1241,x1243)+~E(x1242,f28(x1243))+~P7(x1243,a4)
% 135.13/135.32 [135]~P4(x1353)+~P2(x1351,x1352)+P1(x1351)+~E(x1352,f2(x1353))+~P7(f16(x1353),a4)
% 135.13/135.32 [179]~P4(x1791)+~P2(x1792,x1793)+~E(x1793,f2(x1791))+P2(f16(x1791),x1791)+P2(x1792,f21(x1791,x1793,x1792))
% 135.13/135.32 [180]~P4(x1801)+~P2(x1803,x1802)+~E(x1802,f2(x1801))+P2(f16(x1801),x1801)+P2(f21(x1801,x1802,x1803),x1801)
% 135.13/135.32 [183]~P4(x1832)+~P2(x1831,x1833)+~E(x1833,f2(x1832))+P2(x1831,f21(x1832,x1833,x1831))+~P7(f16(x1832),a4)
% 135.13/135.32 [184]~P4(x1841)+~P2(x1843,x1842)+~E(x1842,f2(x1841))+P2(f21(x1841,x1842,x1843),x1841)+~P7(f16(x1841),a4)
% 135.13/135.32 [190]~P1(x1901)+~P6(x1903)+~P2(x1902,x1903)+P2(x1901,f31(x1902,f13(x1903,x1902)))+~P3(f13(x1903,x1902),f25(x1901,f23(x1902)))
% 135.13/135.32 [193]~P1(x1931)+~P6(x1933)+~P2(x1932,x1933)+~P10(x1931,x1932,f13(x1933,x1932))+P2(x1931,f31(x1932,f13(x1933,x1932)))
% 135.13/135.32 [139]~P2(x1391,x1392)+P1(x1391)+~P7(x1394,a4)+~P7(x1393,a4)+~E(x1392,f26(x1393,x1394))
% 135.13/135.32 [140]~P2(x1401,x1402)+P1(x1401)+~P7(x1404,a4)+~P7(x1403,a4)+~E(x1402,f27(x1403,x1404))
% 135.13/135.32 [145]~P2(x1451,x1453)+P2(x1451,x1452)+~P7(x1454,a4)+~P7(x1452,a4)+~E(x1453,f27(x1454,x1452))
% 135.13/135.32 [146]~P2(x1461,x1463)+P2(x1461,x1462)+~P7(x1464,a4)+~P7(x1462,a4)+~E(x1463,f27(x1462,x1464))
% 135.13/135.32 [152]~P4(x1521)+~P4(x1522)+P2(f16(x1522),x1522)+P2(f20(x1522,x1521),x1521)+E(x1521,f2(x1522))+P1(f20(x1522,x1521))
% 135.13/135.32 [159]~P4(x1591)+~P4(x1592)+P2(f20(x1592,x1591),x1591)+E(x1591,f2(x1592))+P1(f20(x1592,x1591))+~P7(f16(x1592),a4)
% 135.13/135.32 [161]~P4(x1611)+~P4(x1612)+P2(f16(x1612),x1612)+P2(f20(x1612,x1611),x1611)+P2(f22(x1612,x1611),x1612)+E(x1611,f2(x1612))
% 135.13/135.32 [167]~P4(x1671)+~P4(x1672)+P2(f20(x1672,x1671),x1671)+P2(f22(x1672,x1671),x1672)+E(x1671,f2(x1672))+~P7(f16(x1672),a4)
% 135.13/135.32 [172]~P4(x1721)+~P4(x1722)+P2(f16(x1722),x1722)+P2(f20(x1722,x1721),x1721)+P2(f20(x1722,x1721),f22(x1722,x1721))+E(x1721,f2(x1722))
% 135.13/135.32 [174]~P4(x1741)+~P4(x1742)+P2(f20(x1742,x1741),x1741)+P2(f20(x1742,x1741),f22(x1742,x1741))+E(x1741,f2(x1742))+~P7(f16(x1742),a4)
% 135.13/135.32 [181]~P4(x1811)+P2(f7(x1812,x1811),x1812)+~P7(x1812,a4)+~P2(f7(x1812,x1811),x1811)+E(x1811,f28(x1812))+~P1(f7(x1812,x1811))
% 135.13/135.32 [177]~P1(x1771)+~P1(x1772)+~P1(x1773)+~P10(x1773,x1772,x1771)+P10(x1772,x1773,x1771)+E(x1771,a1)
% 135.13/135.32 [122]~P1(x1222)+~P1(x1223)+~P1(x1221)+P3(x1221,x1222)+E(x1221,a1)+~E(f24(x1221,x1223),x1222)
% 135.13/135.32 [197]~P4(x1971)+P2(f18(x1972,x1973,x1971),x1971)+~P7(x1973,a4)+~P7(x1972,a4)+E(x1971,f26(x1972,x1973))+P1(f18(x1972,x1973,x1971))
% 135.13/135.32 [198]~P4(x1981)+P2(f19(x1982,x1983,x1981),x1981)+~P7(x1983,a4)+~P7(x1982,a4)+E(x1981,f27(x1982,x1983))+P1(f19(x1982,x1983,x1981))
% 135.13/135.32 [199]~P4(x1991)+P2(f19(x1992,x1993,x1991),x1991)+P2(f19(x1992,x1993,x1991),x1993)+~P7(x1993,a4)+~P7(x1992,a4)+E(x1991,f27(x1992,x1993))
% 135.13/135.32 [200]~P4(x2001)+P2(f19(x2002,x2003,x2001),x2001)+P2(f19(x2002,x2003,x2001),x2002)+~P7(x2003,a4)+~P7(x2002,a4)+E(x2001,f27(x2002,x2003))
% 135.13/135.32 [151]~P1(x1512)+~P1(x1511)+~P1(x1513)+E(x1511,a1)+P2(x1512,f31(a3,x1511))+~E(f24(x1511,x1513),f25(x1512,f23(a3)))
% 135.13/135.32 [175]~P1(x1753)+~P1(x1752)+~P1(x1751)+P10(x1752,x1753,x1751)+E(x1751,a1)+~P3(x1751,f25(x1752,f23(x1753)))
% 135.13/135.32 [176]~P1(x1761)+~P1(x1763)+~P1(x1762)+~P10(x1762,x1763,x1761)+E(x1761,a1)+P3(x1761,f25(x1762,f23(x1763)))
% 135.13/135.32 [126]~P1(x1261)+~P1(x1264)+~P2(x1262,x1263)+P1(x1262)+E(x1261,a1)+~E(x1263,f31(x1264,x1261))
% 135.13/135.32 [149]~P1(x1491)+~P2(x1491,x1494)+P2(x1491,x1492)+~P7(x1493,a4)+~P7(x1494,a4)+~E(x1492,f26(x1493,x1494))
% 135.13/135.32 [150]~P1(x1501)+~P2(x1501,x1503)+P2(x1501,x1502)+~P7(x1504,a4)+~P7(x1503,a4)+~E(x1502,f26(x1503,x1504))
% 135.13/135.32 [157]~P2(x1571,x1574)+P2(x1571,x1572)+P2(x1571,x1573)+~P7(x1572,a4)+~P7(x1573,a4)+~E(x1574,f26(x1573,x1572))
% 135.13/135.32 [158]~P1(x1581)+~P1(x1583)+~P2(x1582,x1584)+P10(x1582,x1583,x1581)+E(x1581,a1)+~E(x1584,f31(x1583,x1581))
% 135.13/135.32 [187]~P1(x1871)+~P1(x1874)+~P6(x1873)+~P2(x1872,x1873)+P2(x1871,f31(x1872,f13(x1873,x1872)))+~E(f24(f13(x1873,x1872),x1874),f25(x1871,f23(x1872)))
% 135.13/135.32 [195]~P1(x1951)+~P1(x1953)+~P4(x1952)+P2(f8(x1953,x1951,x1952),x1952)+E(x1951,a1)+E(x1952,f31(x1953,x1951))+P1(f8(x1953,x1951,x1952))
% 135.13/135.32 [201]~P1(x2011)+~P1(x2013)+~P4(x2012)+P10(f8(x2013,x2011,x2012),x2013,x2011)+P2(f8(x2013,x2011,x2012),x2012)+E(x2011,a1)+E(x2012,f31(x2013,x2011))
% 135.13/135.32 [203]~P4(x2031)+P2(f18(x2032,x2033,x2031),x2031)+P2(f18(x2032,x2033,x2031),x2033)+P2(f18(x2032,x2033,x2031),x2032)+~P7(x2033,a4)+~P7(x2032,a4)+E(x2031,f26(x2032,x2033))
% 135.13/135.32 [204]~P4(x2041)+~P7(x2043,a4)+~P7(x2042,a4)+~P2(f18(x2042,x2043,x2041),x2041)+~P2(f18(x2042,x2043,x2041),x2043)+E(x2041,f26(x2042,x2043))+~P1(f18(x2042,x2043,x2041))
% 135.13/135.32 [205]~P4(x2051)+~P7(x2053,a4)+~P7(x2052,a4)+~P2(f18(x2052,x2053,x2051),x2051)+~P2(f18(x2052,x2053,x2051),x2052)+E(x2051,f26(x2052,x2053))+~P1(f18(x2052,x2053,x2051))
% 135.13/135.32 [147]~P1(x1471)+~P4(x1473)+~P2(x1471,x1474)+P2(x1471,x1472)+~P2(x1474,x1473)+~E(x1472,f2(x1473))+P2(f16(x1473),x1473)
% 135.13/135.32 [154]~P1(x1541)+~P4(x1543)+~P2(x1541,x1544)+P2(x1541,x1542)+~P2(x1544,x1543)+~E(x1542,f2(x1543))+~P7(f16(x1543),a4)
% 135.13/135.32 [168]~P1(x1681)+~P2(x1681,x1684)+~P2(x1681,x1683)+P2(x1681,x1682)+~P7(x1684,a4)+~P7(x1683,a4)+~E(x1682,f27(x1683,x1684))
% 135.13/135.32 [173]~P1(x1731)+~P1(x1734)+~P1(x1732)+~P10(x1732,x1734,x1731)+P2(x1732,x1733)+E(x1731,a1)+~E(x1733,f31(x1734,x1731))
% 135.13/135.32 [188]~P4(x1881)+~P4(x1882)+~P2(x1883,x1882)+P2(f16(x1882),x1882)+~P2(f20(x1882,x1881),x1883)+~P2(f20(x1882,x1881),x1881)+E(x1881,f2(x1882))+~P1(f20(x1882,x1881))
% 135.13/135.32 [189]~P4(x1891)+~P4(x1892)+~P2(x1893,x1892)+~P2(f20(x1892,x1891),x1893)+~P2(f20(x1892,x1891),x1891)+E(x1891,f2(x1892))+~P1(f20(x1892,x1891))+~P7(f16(x1892),a4)
% 135.13/135.32 [206]~P1(x2061)+~P1(x2063)+~P4(x2062)+~P10(f8(x2063,x2061,x2062),x2063,x2061)+~P2(f8(x2063,x2061,x2062),x2062)+E(x2061,a1)+E(x2062,f31(x2063,x2061))+~P1(f8(x2063,x2061,x2062))
% 135.13/135.32 [207]~P4(x2071)+~P7(x2073,a4)+~P7(x2072,a4)+~P2(f19(x2072,x2073,x2071),x2071)+~P2(f19(x2072,x2073,x2071),x2073)+~P2(f19(x2072,x2073,x2071),x2072)+E(x2071,f27(x2072,x2073))+~P1(f19(x2072,x2073,x2071))
% 135.13/135.32 [194]~P1(x1943)+~P1(x1941)+~P1(x1942)+~P10(x1944,x1943,x1941)+~P10(x1942,x1944,x1941)+P10(x1942,x1943,x1941)+~P1(x1944)+E(x1941,a1)
% 135.13/135.32 [185]~P1(x1851)+~P1(x1852)+~P1(x1854)+~P1(x1853)+P10(x1853,x1854,x1852)+~P10(x1853,x1854,f24(x1851,x1852))+E(x1851,a1)+E(x1852,a1)
% 135.13/135.32 [186]~P1(x1861)+~P1(x1862)+~P1(x1864)+~P1(x1863)+P10(x1863,x1864,x1862)+~P10(x1863,x1864,f24(x1862,x1861))+E(x1861,a1)+E(x1862,a1)
% 135.13/135.32 %EqnAxiom
% 135.13/135.32 [1]E(x11,x11)
% 135.13/135.32 [2]E(x22,x21)+~E(x21,x22)
% 135.13/135.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 135.13/135.32 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 135.13/135.32 [5]~E(x51,x52)+E(f19(x51,x53,x54),f19(x52,x53,x54))
% 135.13/135.32 [6]~E(x61,x62)+E(f19(x63,x61,x64),f19(x63,x62,x64))
% 135.13/135.32 [7]~E(x71,x72)+E(f19(x73,x74,x71),f19(x73,x74,x72))
% 135.13/135.32 [8]~E(x81,x82)+E(f15(x81,x83,x84),f15(x82,x83,x84))
% 135.13/135.32 [9]~E(x91,x92)+E(f15(x93,x91,x94),f15(x93,x92,x94))
% 135.13/135.32 [10]~E(x101,x102)+E(f15(x103,x104,x101),f15(x103,x104,x102))
% 135.13/135.32 [11]~E(x111,x112)+E(f23(x111),f23(x112))
% 135.13/135.32 [12]~E(x121,x122)+E(f24(x121,x123),f24(x122,x123))
% 135.13/135.32 [13]~E(x131,x132)+E(f24(x133,x131),f24(x133,x132))
% 135.13/135.32 [14]~E(x141,x142)+E(f31(x141,x143),f31(x142,x143))
% 135.13/135.32 [15]~E(x151,x152)+E(f31(x153,x151),f31(x153,x152))
% 135.13/135.32 [16]~E(x161,x162)+E(f25(x161,x163),f25(x162,x163))
% 135.13/135.32 [17]~E(x171,x172)+E(f25(x173,x171),f25(x173,x172))
% 135.13/135.32 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 135.13/135.32 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 135.13/135.32 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204))
% 135.13/135.32 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214))
% 135.13/135.32 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222))
% 135.13/135.32 [23]~E(x231,x232)+E(f22(x231,x233),f22(x232,x233))
% 135.13/135.32 [24]~E(x241,x242)+E(f22(x243,x241),f22(x243,x242))
% 135.13/135.32 [25]~E(x251,x252)+E(f27(x251,x253),f27(x252,x253))
% 135.13/135.32 [26]~E(x261,x262)+E(f27(x263,x261),f27(x263,x262))
% 135.13/135.32 [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 135.13/135.32 [28]~E(x281,x282)+E(f16(x281),f16(x282))
% 135.13/135.32 [29]~E(x291,x292)+E(f20(x291,x293),f20(x292,x293))
% 135.13/135.32 [30]~E(x301,x302)+E(f20(x303,x301),f20(x303,x302))
% 135.13/135.32 [31]~E(x311,x312)+E(f8(x311,x313,x314),f8(x312,x313,x314))
% 135.13/135.32 [32]~E(x321,x322)+E(f8(x323,x321,x324),f8(x323,x322,x324))
% 135.13/135.32 [33]~E(x331,x332)+E(f8(x333,x334,x331),f8(x333,x334,x332))
% 135.13/135.32 [34]~E(x341,x342)+E(f7(x341,x343),f7(x342,x343))
% 135.13/135.32 [35]~E(x351,x352)+E(f7(x353,x351),f7(x353,x352))
% 135.13/135.32 [36]~E(x361,x362)+E(f21(x361,x363,x364),f21(x362,x363,x364))
% 135.13/135.32 [37]~E(x371,x372)+E(f21(x373,x371,x374),f21(x373,x372,x374))
% 135.13/135.32 [38]~E(x381,x382)+E(f21(x383,x384,x381),f21(x383,x384,x382))
% 135.13/135.32 [39]~E(x391,x392)+E(f28(x391),f28(x392))
% 135.13/135.32 [40]~E(x401,x402)+E(f26(x401,x403),f26(x402,x403))
% 135.13/135.32 [41]~E(x411,x412)+E(f26(x413,x411),f26(x413,x412))
% 135.13/135.32 [42]~E(x421,x422)+E(f11(x421),f11(x422))
% 135.13/135.32 [43]~E(x431,x432)+E(f14(x431,x433),f14(x432,x433))
% 135.13/135.32 [44]~E(x441,x442)+E(f14(x443,x441),f14(x443,x442))
% 135.13/135.32 [45]~E(x451,x452)+E(f6(x451,x453),f6(x452,x453))
% 135.13/135.32 [46]~E(x461,x462)+E(f6(x463,x461),f6(x463,x462))
% 135.13/135.32 [47]~E(x471,x472)+E(f12(x471,x473),f12(x472,x473))
% 135.13/135.32 [48]~E(x481,x482)+E(f12(x483,x481),f12(x483,x482))
% 135.13/135.32 [49]~E(x491,x492)+E(f5(x491),f5(x492))
% 135.13/135.32 [50]~E(x501,x502)+E(f17(x501,x503),f17(x502,x503))
% 135.13/135.32 [51]~E(x511,x512)+E(f17(x513,x511),f17(x513,x512))
% 135.13/135.32 [52]~E(x521,x522)+E(f9(x521),f9(x522))
% 135.13/135.32 [53]~P1(x531)+P1(x532)+~E(x531,x532)
% 135.13/135.32 [54]P2(x542,x543)+~E(x541,x542)+~P2(x541,x543)
% 135.13/135.32 [55]P2(x553,x552)+~E(x551,x552)+~P2(x553,x551)
% 135.13/135.32 [56]~P4(x561)+P4(x562)+~E(x561,x562)
% 135.13/135.32 [57]~P6(x571)+P6(x572)+~E(x571,x572)
% 135.13/135.32 [58]P7(x582,x583)+~E(x581,x582)+~P7(x581,x583)
% 135.13/135.32 [59]P7(x593,x592)+~E(x591,x592)+~P7(x593,x591)
% 135.13/135.32 [60]~P5(x601)+P5(x602)+~E(x601,x602)
% 135.13/135.32 [61]P10(x612,x613,x614)+~E(x611,x612)+~P10(x611,x613,x614)
% 135.13/135.32 [62]P10(x623,x622,x624)+~E(x621,x622)+~P10(x623,x621,x624)
% 135.13/135.32 [63]P10(x633,x634,x632)+~E(x631,x632)+~P10(x633,x634,x631)
% 135.13/135.32 [64]P3(x642,x643)+~E(x641,x642)+~P3(x641,x643)
% 135.13/135.32 [65]P3(x653,x652)+~E(x651,x652)+~P3(x653,x651)
% 135.13/135.32 [66]~P8(x661)+P8(x662)+~E(x661,x662)
% 135.13/135.32 [67]~P9(x671)+P9(x672)+~E(x671,x672)
% 135.13/135.32
% 135.13/135.32 %-------------------------------------------
% 135.13/135.33 cnf(208,plain,
% 135.13/135.33 (~P6(f2(a30))),
% 135.13/135.33 inference(scs_inference,[],[73,76])).
% 135.13/135.33 cnf(209,plain,
% 135.13/135.33 (P1(a3)),
% 135.13/135.33 inference(scs_inference,[],[72,73,76,92])).
% 135.13/135.33 cnf(210,plain,
% 135.13/135.33 (P2(a3,f9(a3))),
% 135.13/135.33 inference(scs_inference,[],[72,73,76,92,115])).
% 135.13/135.33 cnf(214,plain,
% 135.13/135.33 (E(f24(a1,a29),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,72,73,76,92,115,86,84])).
% 135.13/135.33 cnf(216,plain,
% 135.13/135.33 (E(f25(a1,a1),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,72,73,76,92,115,86,84,83])).
% 135.13/135.33 cnf(218,plain,
% 135.13/135.33 (E(f24(a29,a1),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,72,73,76,92,115,86,84,83,82])).
% 135.13/135.33 cnf(220,plain,
% 135.13/135.33 (E(f25(a1,a29),a29)),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81])).
% 135.13/135.33 cnf(222,plain,
% 135.13/135.33 (E(f24(a1,a1),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79])).
% 135.13/135.33 cnf(224,plain,
% 135.13/135.33 (E(f24(a1,a3),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78])).
% 135.13/135.33 cnf(226,plain,
% 135.13/135.33 (P1(f23(a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77])).
% 135.13/135.33 cnf(228,plain,
% 135.13/135.33 (P2(f9(a3),a30)),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114])).
% 135.13/135.33 cnf(230,plain,
% 135.13/135.33 (E(f9(f24(a1,a29)),f9(a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52])).
% 135.13/135.33 cnf(231,plain,
% 135.13/135.33 (E(f17(x2311,f24(a1,a29)),f17(x2311,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51])).
% 135.13/135.33 cnf(232,plain,
% 135.13/135.33 (E(f17(f24(a1,a29),x2321),f17(a1,x2321))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50])).
% 135.13/135.33 cnf(233,plain,
% 135.13/135.33 (E(f5(f24(a1,a29)),f5(a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49])).
% 135.13/135.33 cnf(235,plain,
% 135.13/135.33 (E(f12(f24(a1,a29),x2351),f12(a1,x2351))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47])).
% 135.13/135.33 cnf(236,plain,
% 135.13/135.33 (E(f6(x2361,f24(a1,a29)),f6(x2361,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46])).
% 135.13/135.33 cnf(237,plain,
% 135.13/135.33 (E(f6(f24(a1,a29),x2371),f6(a1,x2371))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45])).
% 135.13/135.33 cnf(238,plain,
% 135.13/135.33 (E(f14(x2381,f24(a1,a29)),f14(x2381,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44])).
% 135.13/135.33 cnf(239,plain,
% 135.13/135.33 (E(f14(f24(a1,a29),x2391),f14(a1,x2391))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43])).
% 135.13/135.33 cnf(240,plain,
% 135.13/135.33 (E(f11(f24(a1,a29)),f11(a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42])).
% 135.13/135.33 cnf(243,plain,
% 135.13/135.33 (E(f28(f24(a1,a29)),f28(a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39])).
% 135.13/135.33 cnf(244,plain,
% 135.13/135.33 (E(f21(x2441,x2442,f24(a1,a29)),f21(x2441,x2442,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38])).
% 135.13/135.33 cnf(246,plain,
% 135.13/135.33 (E(f21(f24(a1,a29),x2461,x2462),f21(a1,x2461,x2462))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36])).
% 135.13/135.33 cnf(249,plain,
% 135.13/135.33 (E(f8(x2491,x2492,f24(a1,a29)),f8(x2491,x2492,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33])).
% 135.13/135.33 cnf(251,plain,
% 135.13/135.33 (E(f8(f24(a1,a29),x2511,x2512),f8(a1,x2511,x2512))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31])).
% 135.13/135.33 cnf(252,plain,
% 135.13/135.33 (E(f20(x2521,f24(a1,a29)),f20(x2521,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30])).
% 135.13/135.33 cnf(260,plain,
% 135.13/135.33 (E(f18(x2601,x2602,f24(a1,a29)),f18(x2601,x2602,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 135.13/135.33 cnf(261,plain,
% 135.13/135.33 (E(f18(x2611,f24(a1,a29),x2612),f18(x2611,a1,x2612))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 135.13/135.33 cnf(262,plain,
% 135.13/135.33 (E(f18(f24(a1,a29),x2621,x2622),f18(a1,x2621,x2622))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 135.13/135.33 cnf(265,plain,
% 135.13/135.33 (E(f25(x2651,f24(a1,a29)),f25(x2651,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 135.13/135.33 cnf(266,plain,
% 135.13/135.33 (E(f25(f24(a1,a29),x2661),f25(a1,x2661))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 135.13/135.33 cnf(268,plain,
% 135.13/135.33 (E(f31(f24(a1,a29),x2681),f31(a1,x2681))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 135.13/135.33 cnf(269,plain,
% 135.13/135.33 (E(f24(x2691,f24(a1,a29)),f24(x2691,a1))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 135.13/135.33 cnf(270,plain,
% 135.13/135.33 (E(f24(f24(a1,a29),x2701),f24(a1,x2701))),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 135.13/135.33 cnf(283,plain,
% 135.13/135.33 (E(f25(a1,f23(a1)),a1)),
% 135.13/135.33 inference(scs_inference,[],[68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89])).
% 135.13/135.33 cnf(288,plain,
% 135.13/135.33 (~E(f9(a3),f2(a30))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54])).
% 135.13/135.33 cnf(289,plain,
% 135.13/135.33 (~P3(f24(a1,a29),a1)),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94])).
% 135.13/135.33 cnf(291,plain,
% 135.13/135.33 (P1(f24(a1,a1))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111])).
% 135.13/135.33 cnf(293,plain,
% 135.13/135.33 (P1(f25(a1,a1))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110])).
% 135.13/135.33 cnf(297,plain,
% 135.13/135.33 (E(f25(f25(a1,a1),a1),f25(a1,f25(a1,a1)))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110,144,143])).
% 135.13/135.33 cnf(299,plain,
% 135.13/135.33 (E(f25(f24(a1,a1),f24(a1,a1)),f24(f25(a1,a1),a1))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110,144,143,166])).
% 135.13/135.33 cnf(301,plain,
% 135.13/135.33 (E(f25(f24(a1,a1),f24(a1,a1)),f24(a1,f25(a1,a1)))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110,144,143,166,165])).
% 135.13/135.33 cnf(303,plain,
% 135.13/135.33 (E(a1,f24(a1,a29))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110,144,143,166,165,2])).
% 135.13/135.33 cnf(304,plain,
% 135.13/135.33 (~P3(f24(a1,a29),f24(a1,a29))),
% 135.13/135.33 inference(scs_inference,[],[71,68,69,72,73,76,92,115,86,84,83,82,81,79,78,77,114,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,90,89,88,56,54,94,111,110,144,143,166,165,2,65])).
% 135.13/135.33 cnf(325,plain,
% 135.13/135.33 (P1(f24(a1,a29))),
% 135.13/135.33 inference(scs_inference,[],[68,303,53])).
% 135.13/135.33 cnf(326,plain,
% 135.13/135.33 (P1(f24(a29,a29))),
% 135.13/135.33 inference(scs_inference,[],[69,68,303,53,111])).
% 135.13/135.33 cnf(328,plain,
% 135.13/135.33 (P1(f25(a29,a29))),
% 135.13/135.33 inference(scs_inference,[],[69,68,303,53,111,110])).
% 135.13/135.33 cnf(334,plain,
% 135.13/135.33 (E(f25(f24(a29,a29),f24(a29,a29)),f24(a29,f25(a29,a29)))),
% 135.13/135.33 inference(scs_inference,[],[69,68,303,53,111,110,144,143,165])).
% 135.13/135.33 cnf(336,plain,
% 135.13/135.33 (~E(f2(a30),f9(a3))),
% 135.13/135.33 inference(scs_inference,[],[69,68,288,303,53,111,110,144,143,165,2])).
% 135.13/135.33 cnf(337,plain,
% 135.13/135.33 (P6(f9(a3))),
% 135.13/135.33 inference(scs_inference,[],[69,68,288,303,228,53,111,110,144,143,165,2,86])).
% 135.13/135.33 cnf(344,plain,
% 135.13/135.33 (P2(a29,a4)),
% 135.13/135.33 inference(scs_inference,[],[69,68,260,261,288,303,228,53,111,110,144,143,165,2,86,3,166,87])).
% 135.13/135.33 cnf(348,plain,
% 135.13/135.33 (P5(f9(a3))),
% 135.13/135.34 inference(scs_inference,[],[69,68,260,261,288,303,228,53,111,110,144,143,165,2,86,3,166,87,131,76])).
% 135.13/135.34 cnf(350,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f24(f24(a1,a29),a29))),
% 135.13/135.34 inference(scs_inference,[],[69,68,304,260,261,270,288,303,228,53,111,110,144,143,165,2,86,3,166,87,131,76,65])).
% 135.13/135.34 cnf(351,plain,
% 135.13/135.34 (~P3(f24(f24(a1,a29),a29),f24(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[69,68,304,260,261,270,288,303,228,53,111,110,144,143,165,2,86,3,166,87,131,76,65,64])).
% 135.13/135.34 cnf(386,plain,
% 135.13/135.34 (P4(a4)),
% 135.13/135.34 inference(scs_inference,[],[337,74])).
% 135.13/135.34 cnf(387,plain,
% 135.13/135.34 (~P1(x3871)+P2(x3871,a4)),
% 135.13/135.34 inference(scs_inference,[],[337,87])).
% 135.13/135.34 cnf(388,plain,
% 135.13/135.34 (P1(x3881)+~P2(x3881,a4)),
% 135.13/135.34 inference(scs_inference,[],[337,93])).
% 135.13/135.34 cnf(390,plain,
% 135.13/135.34 (P7(f31(a3,f13(f9(a3),a3)),f9(a3))),
% 135.13/135.34 inference(scs_inference,[],[337,210,162])).
% 135.13/135.34 cnf(392,plain,
% 135.13/135.34 (P1(f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[337,210,162,121])).
% 135.13/135.34 cnf(394,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[337,210,162,121,118])).
% 135.13/135.34 cnf(398,plain,
% 135.13/135.34 (P10(a29,a29,f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[69,337,210,162,121,118,153,131])).
% 135.13/135.34 cnf(402,plain,
% 135.13/135.34 (E(f25(f25(a3,a3),a3),f25(a3,f25(a3,a3)))),
% 135.13/135.34 inference(scs_inference,[],[69,337,209,210,162,121,118,153,131,144,143])).
% 135.13/135.34 cnf(404,plain,
% 135.13/135.34 (E(f25(f24(a3,a3),f24(a3,a3)),f24(a3,f25(a3,a3)))),
% 135.13/135.34 inference(scs_inference,[],[69,337,209,210,162,121,118,153,131,144,143,165])).
% 135.13/135.34 cnf(407,plain,
% 135.13/135.34 (E(f25(f24(a3,a3),f24(a3,a3)),f24(f25(a3,a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[69,262,337,209,210,162,121,118,153,131,144,143,165,2,166])).
% 135.13/135.34 cnf(409,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[69,262,216,337,209,210,162,121,118,153,131,144,143,165,2,166,3])).
% 135.13/135.34 cnf(410,plain,
% 135.13/135.34 (P2(a1,a4)),
% 135.13/135.34 inference(scs_inference,[],[69,68,262,216,337,209,210,162,121,118,153,131,144,143,165,2,166,3,387])).
% 135.13/135.34 cnf(417,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f25(a29,f23(a29)))),
% 135.13/135.34 inference(scs_inference,[],[70,69,68,262,268,216,337,209,210,162,121,118,153,131,144,143,165,2,166,3,387,98,109,176])).
% 135.13/135.34 cnf(419,plain,
% 135.13/135.34 (~P2(f11(f13(f9(a3),a3)),f2(a30))),
% 135.13/135.34 inference(scs_inference,[],[70,69,68,262,268,216,337,209,210,162,121,118,153,131,144,143,165,2,166,3,387,98,109,176,113])).
% 135.13/135.34 cnf(421,plain,
% 135.13/135.34 (~P7(f31(a3,f13(f9(a3),a3)),f2(a30))),
% 135.13/135.34 inference(scs_inference,[],[70,69,68,262,268,216,337,209,210,162,121,118,153,131,144,143,165,2,166,3,387,98,109,176,113,134])).
% 135.13/135.34 cnf(437,plain,
% 135.13/135.34 (~E(f25(a1,a1),f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[409,2])).
% 135.13/135.34 cnf(438,plain,
% 135.13/135.34 (~E(a3,f11(f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[72,409,419,2,54])).
% 135.13/135.34 cnf(458,plain,
% 135.13/135.34 (P2(f24(a1,a29),a4)),
% 135.13/135.34 inference(scs_inference,[],[407,410,303,2,54])).
% 135.13/135.34 cnf(473,plain,
% 135.13/135.34 (~E(f11(f13(f9(a3),a3)),a3)),
% 135.13/135.34 inference(scs_inference,[],[438,2])).
% 135.13/135.34 cnf(474,plain,
% 135.13/135.34 (~E(a1,f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[437,438,216,2,3])).
% 135.13/135.34 cnf(499,plain,
% 135.13/135.34 (E(f17(x4991,f24(a1,a1)),f17(x4991,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51])).
% 135.13/135.34 cnf(500,plain,
% 135.13/135.34 (E(f17(f24(a1,a1),x5001),f17(a1,x5001))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50])).
% 135.13/135.34 cnf(501,plain,
% 135.13/135.34 (E(f12(x5011,f24(a1,a1)),f12(x5011,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48])).
% 135.13/135.34 cnf(502,plain,
% 135.13/135.34 (E(f6(x5021,f24(a1,a1)),f6(x5021,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46])).
% 135.13/135.34 cnf(503,plain,
% 135.13/135.34 (E(f14(f24(a1,a1),x5031),f14(a1,x5031))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43])).
% 135.13/135.34 cnf(504,plain,
% 135.13/135.34 (E(f11(f24(a1,a1)),f11(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42])).
% 135.13/135.34 cnf(505,plain,
% 135.13/135.34 (E(f28(f24(a1,a1)),f28(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39])).
% 135.13/135.34 cnf(506,plain,
% 135.13/135.34 (E(f7(x5061,f24(a1,a1)),f7(x5061,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35])).
% 135.13/135.34 cnf(507,plain,
% 135.13/135.34 (E(f8(x5071,f24(a1,a1),x5072),f8(x5071,a1,x5072))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32])).
% 135.13/135.34 cnf(508,plain,
% 135.13/135.34 (E(f8(f24(a1,a1),x5081,x5082),f8(a1,x5081,x5082))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31])).
% 135.13/135.34 cnf(509,plain,
% 135.13/135.34 (E(f20(f24(a1,a1),x5091),f20(a1,x5091))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29])).
% 135.13/135.34 cnf(510,plain,
% 135.13/135.34 (E(f27(f24(a1,a1),x5101),f27(a1,x5101))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25])).
% 135.13/135.34 cnf(511,plain,
% 135.13/135.34 (E(f22(x5111,f24(a1,a1)),f22(x5111,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24])).
% 135.13/135.34 cnf(512,plain,
% 135.13/135.34 (E(f18(x5121,x5122,f24(a1,a1)),f18(x5121,x5122,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22])).
% 135.13/135.34 cnf(513,plain,
% 135.13/135.34 (E(f18(x5131,f24(a1,a1),x5132),f18(x5131,a1,x5132))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21])).
% 135.13/135.34 cnf(514,plain,
% 135.13/135.34 (E(f13(x5141,f24(a1,a1)),f13(x5141,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19])).
% 135.13/135.34 cnf(515,plain,
% 135.13/135.34 (E(f31(x5151,f24(a1,a1)),f31(x5151,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15])).
% 135.13/135.34 cnf(516,plain,
% 135.13/135.34 (E(f24(f24(a1,a1),x5161),f24(a1,x5161))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12])).
% 135.13/135.34 cnf(517,plain,
% 135.13/135.34 (E(f15(x5171,x5172,f24(a1,a1)),f15(x5171,x5172,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10])).
% 135.13/135.34 cnf(518,plain,
% 135.13/135.34 (E(f19(x5181,f24(a1,a1),x5182),f19(x5181,a1,x5182))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6])).
% 135.13/135.34 cnf(519,plain,
% 135.13/135.34 (E(f19(f24(a1,a1),x5191,x5192),f19(a1,x5191,x5192))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5])).
% 135.13/135.34 cnf(520,plain,
% 135.13/135.34 (E(f2(f24(a1,a1)),f2(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4])).
% 135.13/135.34 cnf(523,plain,
% 135.13/135.34 (~P2(a3,f31(a3,f13(f9(a3),a3)))+E(f24(a1,f23(a1)),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78])).
% 135.13/135.34 cnf(525,plain,
% 135.13/135.34 (E(f9(f24(a1,a1)),f9(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52])).
% 135.13/135.34 cnf(526,plain,
% 135.13/135.34 (E(f5(f24(a1,a1)),f5(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49])).
% 135.13/135.34 cnf(527,plain,
% 135.13/135.34 (E(f12(f24(a1,a1),x5271),f12(a1,x5271))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47])).
% 135.13/135.34 cnf(528,plain,
% 135.13/135.34 (E(f6(f24(a1,a1),x5281),f6(a1,x5281))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45])).
% 135.13/135.34 cnf(529,plain,
% 135.13/135.34 (E(f14(x5291,f24(a1,a1)),f14(x5291,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44])).
% 135.13/135.34 cnf(530,plain,
% 135.13/135.34 (E(f26(x5301,f24(a1,a1)),f26(x5301,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41])).
% 135.13/135.34 cnf(531,plain,
% 135.13/135.34 (E(f26(f24(a1,a1),x5311),f26(a1,x5311))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40])).
% 135.13/135.34 cnf(532,plain,
% 135.13/135.34 (E(f21(x5321,x5322,f24(a1,a1)),f21(x5321,x5322,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38])).
% 135.13/135.34 cnf(533,plain,
% 135.13/135.34 (E(f21(x5331,f24(a1,a1),x5332),f21(x5331,a1,x5332))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37])).
% 135.13/135.34 cnf(534,plain,
% 135.13/135.34 (E(f21(f24(a1,a1),x5341,x5342),f21(a1,x5341,x5342))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36])).
% 135.13/135.34 cnf(535,plain,
% 135.13/135.34 (E(f7(f24(a1,a1),x5351),f7(a1,x5351))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34])).
% 135.13/135.34 cnf(536,plain,
% 135.13/135.34 (E(f8(x5361,x5362,f24(a1,a1)),f8(x5361,x5362,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33])).
% 135.13/135.34 cnf(537,plain,
% 135.13/135.34 (E(f20(x5371,f24(a1,a1)),f20(x5371,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30])).
% 135.13/135.34 cnf(538,plain,
% 135.13/135.34 (E(f16(f24(a1,a1)),f16(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28])).
% 135.13/135.34 cnf(539,plain,
% 135.13/135.34 (E(f10(f24(a1,a1)),f10(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27])).
% 135.13/135.34 cnf(540,plain,
% 135.13/135.34 (E(f27(x5401,f24(a1,a1)),f27(x5401,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26])).
% 135.13/135.34 cnf(541,plain,
% 135.13/135.34 (E(f22(f24(a1,a1),x5411),f22(a1,x5411))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23])).
% 135.13/135.34 cnf(542,plain,
% 135.13/135.34 (E(f18(f24(a1,a1),x5421,x5422),f18(a1,x5421,x5422))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20])).
% 135.13/135.34 cnf(543,plain,
% 135.13/135.34 (E(f13(f24(a1,a1),x5431),f13(a1,x5431))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18])).
% 135.13/135.34 cnf(544,plain,
% 135.13/135.34 (E(f25(x5441,f24(a1,a1)),f25(x5441,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17])).
% 135.13/135.34 cnf(545,plain,
% 135.13/135.34 (E(f25(f24(a1,a1),x5451),f25(a1,x5451))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16])).
% 135.13/135.34 cnf(546,plain,
% 135.13/135.34 (E(f31(f24(a1,a1),x5461),f31(a1,x5461))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14])).
% 135.13/135.34 cnf(547,plain,
% 135.13/135.34 (E(f24(x5471,f24(a1,a1)),f24(x5471,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13])).
% 135.13/135.34 cnf(548,plain,
% 135.13/135.34 (E(f23(f24(a1,a1)),f23(a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11])).
% 135.13/135.34 cnf(549,plain,
% 135.13/135.34 (E(f15(x5491,f24(a1,a1),x5492),f15(x5491,a1,x5492))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9])).
% 135.13/135.34 cnf(550,plain,
% 135.13/135.34 (E(f15(f24(a1,a1),x5501,x5502),f15(a1,x5501,x5502))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8])).
% 135.13/135.34 cnf(551,plain,
% 135.13/135.34 (E(f19(x5511,x5512,f24(a1,a1)),f19(x5511,x5512,a1))+~P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[209,437,438,222,226,216,392,394,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7])).
% 135.13/135.34 cnf(560,plain,
% 135.13/135.34 (~P7(f9(a3),a4)+~P2(a3,f31(a3,f13(f9(a3),a3)))+P1(f6(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[209,437,458,289,438,222,226,348,216,392,394,210,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7,65,64,178,95,85,138])).
% 135.13/135.34 cnf(562,plain,
% 135.13/135.34 (~P7(f9(a3),a4)+~P2(a3,f31(a3,f13(f9(a3),a3)))+~E(f6(f9(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,437,458,289,438,222,226,348,216,392,394,210,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7,65,64,178,95,85,138,136])).
% 135.13/135.34 cnf(564,plain,
% 135.13/135.34 (~P2(a3,f31(a3,f13(f9(a3),a3)))+P1(f12(f13(f9(a3),a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[209,437,458,289,438,222,226,348,216,392,394,210,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7,65,64,178,95,85,138,136,142])).
% 135.13/135.34 cnf(566,plain,
% 135.13/135.34 (~P2(a3,f31(a3,f13(f9(a3),a3)))+P1(f15(f9(a3),a3,a3))),
% 135.13/135.34 inference(scs_inference,[],[209,437,458,289,438,222,226,348,216,392,394,337,210,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7,65,64,178,95,85,138,136,142,196])).
% 135.13/135.34 cnf(568,plain,
% 135.13/135.34 (E(a3,a1)+~P2(a3,f31(a3,f13(f9(a3),a3)))+~E(f24(a3,a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,437,458,289,438,222,226,348,216,392,394,337,210,2,3,155,164,175,82,91,90,89,88,84,83,79,77,51,50,48,46,43,42,39,35,32,31,29,25,24,22,21,19,15,12,10,6,5,4,81,78,52,49,47,45,44,41,40,38,37,36,34,33,30,28,27,26,23,20,18,17,16,14,13,11,9,8,7,65,64,178,95,85,138,136,142,196,102])).
% 135.13/135.34 cnf(570,plain,
% 135.13/135.34 (P2(a3,a4)),
% 135.13/135.34 inference(scs_inference,[],[210,337,107])).
% 135.13/135.34 cnf(572,plain,
% 135.13/135.34 (~P3(f24(a1,a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[68,210,224,337,107,94])).
% 135.13/135.34 cnf(574,plain,
% 135.13/135.34 (~P3(f24(f24(a1,a29),a29),f24(f24(a1,a29),a29))),
% 135.13/135.34 inference(scs_inference,[],[68,210,350,224,270,337,107,94,64])).
% 135.13/135.34 cnf(618,plain,
% 135.13/135.34 (P1(f25(a3,a3))),
% 135.13/135.34 inference(scs_inference,[],[209,110])).
% 135.13/135.34 cnf(620,plain,
% 135.13/135.34 (P1(f24(a3,a3))),
% 135.13/135.34 inference(scs_inference,[],[209,110,111])).
% 135.13/135.34 cnf(653,plain,
% 135.13/135.34 (~E(f24(a1,a29),f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[620,474,303,387,3])).
% 135.13/135.34 cnf(699,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f24(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[653,392,394,131,2])).
% 135.13/135.34 cnf(700,plain,
% 135.13/135.34 (E(f25(f25(a1,a1),f24(a1,a29)),f25(a1,f25(a1,a1)))),
% 135.13/135.34 inference(scs_inference,[],[653,297,265,392,394,131,2,3])).
% 135.13/135.34 cnf(712,plain,
% 135.13/135.34 (E(f24(a29,a3),a3)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82])).
% 135.13/135.34 cnf(714,plain,
% 135.13/135.34 (P1(f23(a3))),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77])).
% 135.13/135.34 cnf(718,plain,
% 135.13/135.34 (E(f25(a3,f23(a3)),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77,90,89])).
% 135.13/135.34 cnf(720,plain,
% 135.13/135.34 (E(f25(f23(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77,90,89,88])).
% 135.13/135.34 cnf(722,plain,
% 135.13/135.34 (E(f24(a3,a29),a3)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77,90,89,88,84])).
% 135.13/135.34 cnf(724,plain,
% 135.13/135.34 (E(f25(a3,a1),a3)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77,90,89,88,84,83])).
% 135.13/135.34 cnf(726,plain,
% 135.13/135.34 (E(f24(a3,a1),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,91,82,77,90,89,88,84,83,79])).
% 135.13/135.34 cnf(738,plain,
% 135.13/135.34 (E(f25(a1,a3),a3)),
% 135.13/135.34 inference(scs_inference,[],[209,283,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81])).
% 135.13/135.34 cnf(740,plain,
% 135.13/135.34 (E(f24(a1,f25(a3,a3)),a1)),
% 135.13/135.34 inference(scs_inference,[],[209,618,283,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78])).
% 135.13/135.34 cnf(763,plain,
% 135.13/135.34 (E(f24(f25(a1,f23(a1)),x7631),f24(a1,x7631))),
% 135.13/135.34 inference(scs_inference,[],[209,618,283,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12])).
% 135.13/135.34 cnf(781,plain,
% 135.13/135.34 (P10(a3,a3,f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[209,618,283,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131])).
% 135.13/135.34 cnf(783,plain,
% 135.13/135.34 (E(f25(a1,f25(a1,a1)),f25(f25(a1,a1),f24(a1,a29)))),
% 135.13/135.34 inference(scs_inference,[],[209,618,700,283,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2])).
% 135.13/135.34 cnf(784,plain,
% 135.13/135.34 (~E(f11(f13(f9(a3),a3)),f24(a29,a3))),
% 135.13/135.34 inference(scs_inference,[],[209,618,700,473,283,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3])).
% 135.13/135.34 cnf(787,plain,
% 135.13/135.34 (P2(a3,f31(a3,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193])).
% 135.13/135.34 cnf(789,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f25(a3,f23(a3)))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176])).
% 135.13/135.34 cnf(791,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65])).
% 135.13/135.34 cnf(797,plain,
% 135.13/135.34 (E(f23(f24(a1,a1)),f23(a1))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548])).
% 135.13/135.34 cnf(798,plain,
% 135.13/135.34 (E(f24(x7981,f24(a1,a1)),f24(x7981,a1))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547])).
% 135.13/135.34 cnf(799,plain,
% 135.13/135.34 (E(f31(f24(a1,a1),x7991),f31(a1,x7991))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546])).
% 135.13/135.34 cnf(800,plain,
% 135.13/135.34 (E(f25(f24(a1,a1),x8001),f25(a1,x8001))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545])).
% 135.13/135.34 cnf(801,plain,
% 135.13/135.34 (E(f25(x8011,f24(a1,a1)),f25(x8011,a1))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545,544])).
% 135.13/135.34 cnf(821,plain,
% 135.13/135.34 (E(f24(a1,f23(a1)),a1)),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,523])).
% 135.13/135.34 cnf(826,plain,
% 135.13/135.34 (E(f24(f24(a1,a1),x8261),f24(a1,x8261))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,523,520,519,518,517,516])).
% 135.13/135.34 cnf(845,plain,
% 135.13/135.34 (~P7(f9(a3),a4)+~E(f6(f9(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,523,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,568,562])).
% 135.13/135.34 cnf(846,plain,
% 135.13/135.34 (~P7(f9(a3),a4)+P1(f6(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[210,209,618,700,473,283,337,392,394,91,82,77,90,89,88,84,83,79,51,48,43,35,32,25,19,10,6,4,81,78,50,49,47,46,44,42,41,39,38,33,31,29,27,24,23,22,21,16,15,14,13,12,11,9,8,7,5,52,45,40,37,36,34,30,28,26,20,18,17,131,2,3,187,193,176,65,566,564,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,523,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,568,562,560])).
% 135.13/135.34 cnf(860,plain,
% 135.13/135.34 (P1(f14(a1,f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[799,791,392,394,68,109,120])).
% 135.13/135.34 cnf(862,plain,
% 135.13/135.34 (P7(f9(a3),a4)),
% 135.13/135.34 inference(scs_inference,[],[799,791,337,392,394,68,109,120,80])).
% 135.13/135.34 cnf(864,plain,
% 135.13/135.34 (P4(f9(a3))),
% 135.13/135.34 inference(scs_inference,[],[799,791,337,392,394,68,109,120,80,75])).
% 135.13/135.34 cnf(866,plain,
% 135.13/135.34 (~E(f9(a3),f28(f9(a3)))),
% 135.13/135.34 inference(scs_inference,[],[210,799,791,337,392,394,68,109,120,80,75,137])).
% 135.13/135.34 cnf(868,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f24(a1,a3))),
% 135.13/135.34 inference(scs_inference,[],[210,799,791,572,337,392,394,68,109,120,80,75,137,64])).
% 135.13/135.34 cnf(869,plain,
% 135.13/135.34 (~P3(f24(a1,a3),f24(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[214,210,799,791,572,337,392,394,68,109,120,80,75,137,64,65])).
% 135.13/135.34 cnf(871,plain,
% 135.13/135.34 (E(f25(a1,a1),f24(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,303,337,392,394,68,109,120,80,75,137,64,65,2,3])).
% 135.13/135.34 cnf(872,plain,
% 135.13/135.34 (P1(f6(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846])).
% 135.13/135.34 cnf(873,plain,
% 135.13/135.34 (~E(f6(f9(a3),a3),a1)),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845])).
% 135.13/135.34 cnf(876,plain,
% 135.13/135.34 (P4(f31(a3,f6(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845,96,99])).
% 135.13/135.34 cnf(878,plain,
% 135.13/135.34 (P7(f31(a3,f6(f9(a3),a3)),f9(a3))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,348,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845,96,99,171])).
% 135.13/135.34 cnf(880,plain,
% 135.13/135.34 (~P7(f31(a3,f6(f9(a3),a3)),f2(a30))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,348,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845,96,99,171,134])).
% 135.13/135.34 cnf(882,plain,
% 135.13/135.34 (~P2(f11(f6(f9(a3),a3)),f2(a30))),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,784,799,791,572,348,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845,96,99,171,134,113])).
% 135.13/135.34 cnf(884,plain,
% 135.13/135.34 (~P3(f24(a1,a29),a3)),
% 135.13/135.34 inference(scs_inference,[],[214,216,210,209,784,799,791,572,348,303,337,392,394,68,109,120,80,75,137,64,65,2,3,846,845,96,99,171,134,113,94])).
% 135.13/135.34 cnf(902,plain,
% 135.13/135.34 (P1(f25(f23(a3),f23(a3)))),
% 135.13/135.34 inference(scs_inference,[],[714,110])).
% 135.13/135.34 cnf(904,plain,
% 135.13/135.34 (P1(f24(f23(a3),f23(a3)))),
% 135.13/135.34 inference(scs_inference,[],[714,110,111])).
% 135.13/135.34 cnf(906,plain,
% 135.13/135.34 (~E(a3,f11(f6(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[882,714,72,110,111,54])).
% 135.13/135.34 cnf(907,plain,
% 135.13/135.34 (~P3(f25(a1,a1),a3)),
% 135.13/135.34 inference(scs_inference,[],[871,882,714,884,72,110,111,54,64])).
% 135.13/135.34 cnf(908,plain,
% 135.13/135.34 (~P3(f24(a1,a3),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[871,869,882,714,884,72,110,111,54,64,65])).
% 135.13/135.34 cnf(909,plain,
% 135.13/135.34 (E(a1,f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[216,871,869,882,714,884,72,110,111,54,64,65,2])).
% 135.13/135.34 cnf(910,plain,
% 135.13/135.34 (~E(f6(f9(a3),a3),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[216,871,869,873,882,714,884,72,110,111,54,64,65,2,3])).
% 135.13/135.34 cnf(911,plain,
% 135.13/135.34 (P2(a3,x9111)+~E(x9111,f27(f9(a3),f9(a3)))),
% 135.13/135.34 inference(scs_inference,[],[216,210,209,871,869,873,862,882,714,884,72,110,111,54,64,65,2,3,168])).
% 135.13/135.34 cnf(913,plain,
% 135.13/135.34 (~P3(f25(a3,f23(a3)),a3)),
% 135.13/135.34 inference(scs_inference,[],[216,210,209,871,869,873,862,882,718,714,884,72,110,111,54,64,65,2,3,168,94])).
% 135.13/135.34 cnf(925,plain,
% 135.13/135.34 (P2(a3,f27(f9(a3),f9(a3)))),
% 135.13/135.34 inference(equality_inference,[],[911])).
% 135.13/135.34 cnf(928,plain,
% 135.13/135.34 (P1(f25(f24(a29,a29),f24(a29,a29)))),
% 135.13/135.34 inference(scs_inference,[],[904,326,387,110])).
% 135.13/135.34 cnf(932,plain,
% 135.13/135.34 (~P3(f24(f24(a1,a1),a3),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[904,908,826,326,387,110,111,64])).
% 135.13/135.34 cnf(933,plain,
% 135.13/135.34 (E(f24(f24(a1,a1),x9331),f24(a1,x9331))),
% 135.13/135.34 inference(rename_variables,[],[826])).
% 135.13/135.34 cnf(934,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[904,908,826,909,326,791,387,110,111,64,65])).
% 135.13/135.34 cnf(936,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a1),a29))),
% 135.13/135.34 inference(scs_inference,[],[699,904,910,908,826,933,909,326,791,387,110,111,64,65,2,3])).
% 135.13/135.34 cnf(954,plain,
% 135.13/135.34 (P1(f24(a29,f25(a29,a29)))),
% 135.13/135.34 inference(scs_inference,[],[928,334,53])).
% 135.13/135.34 cnf(955,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a1),a3))),
% 135.13/135.34 inference(scs_inference,[],[928,934,932,334,53,64])).
% 135.13/135.34 cnf(956,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[218,928,934,932,334,289,53,64,65])).
% 135.13/135.34 cnf(957,plain,
% 135.13/135.34 (E(a1,f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[218,928,934,932,334,289,53,64,65,2])).
% 135.13/135.34 cnf(973,plain,
% 135.13/135.34 (~P3(f25(a1,a1),f24(a29,a3))),
% 135.13/135.34 inference(scs_inference,[],[800,907,712,64,65])).
% 135.13/135.34 cnf(974,plain,
% 135.13/135.34 (~E(f28(f9(a3)),f9(a3))),
% 135.13/135.34 inference(scs_inference,[],[866,800,907,712,64,65,2])).
% 135.13/135.34 cnf(1022,plain,
% 135.13/135.34 (E(f25(f25(a1,a29),x10221),f25(a29,x10221))),
% 135.13/135.34 inference(scs_inference,[],[220,954,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16])).
% 135.13/135.34 cnf(1023,plain,
% 135.13/135.34 (E(f24(f25(a1,a29),x10231),f24(a29,x10231))),
% 135.13/135.34 inference(scs_inference,[],[220,954,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12])).
% 135.13/135.34 cnf(1042,plain,
% 135.13/135.34 (E(f25(x10421,f25(a1,a29)),f25(x10421,a29))),
% 135.13/135.34 inference(scs_inference,[],[220,954,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17])).
% 135.13/135.34 cnf(1044,plain,
% 135.13/135.34 (E(f31(f25(a1,a29),x10441),f31(a29,x10441))),
% 135.13/135.34 inference(scs_inference,[],[220,954,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17,15,14])).
% 135.13/135.34 cnf(1045,plain,
% 135.13/135.34 (E(f24(x10451,f25(a1,a29)),f24(x10451,a29))),
% 135.13/135.34 inference(scs_inference,[],[220,954,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17,15,14,13])).
% 135.13/135.34 cnf(1057,plain,
% 135.13/135.34 (~P3(f24(f24(a1,a29),f25(a1,a29)),f24(f24(a1,a29),a29))),
% 135.13/135.34 inference(scs_inference,[],[220,954,574,328,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17,15,14,13,11,9,8,5,52,45,40,34,30,28,18,64])).
% 135.13/135.34 cnf(1058,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[220,954,574,957,328,791,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17,15,14,13,11,9,8,5,52,45,40,34,30,28,18,64,65])).
% 135.13/135.34 cnf(1059,plain,
% 135.13/135.34 (E(a29,f25(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[220,954,574,957,328,791,91,90,89,83,82,88,81,84,79,32,10,6,78,51,48,43,42,41,35,31,27,25,21,19,16,12,7,4,50,49,47,46,44,39,38,37,36,33,29,26,24,23,22,20,17,15,14,13,11,9,8,5,52,45,40,34,30,28,18,64,65,2])).
% 135.13/135.34 cnf(1075,plain,
% 135.13/135.34 (P10(f25(a1,a29),a29,f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[925,1059,398,862,210,137,62,61])).
% 135.13/135.34 cnf(1078,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f25(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[216,902,925,1059,398,289,872,873,862,210,137,62,61,131,65])).
% 135.13/135.34 cnf(1079,plain,
% 135.13/135.34 (~E(f11(f6(f9(a3),a3)),a3)),
% 135.13/135.34 inference(scs_inference,[],[216,902,906,925,1059,398,289,872,873,862,210,137,62,61,131,65,2])).
% 135.13/135.34 cnf(1080,plain,
% 135.13/135.34 (E(f24(a1,a29),f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[214,216,902,906,925,1059,957,398,289,872,873,862,210,137,62,61,131,65,2,3])).
% 135.13/135.34 cnf(1084,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f25(f23(a3),f23(a3)))),
% 135.13/135.34 inference(scs_inference,[],[214,216,902,906,1044,925,1059,957,398,289,872,873,862,69,210,137,62,61,131,65,2,3,158,94])).
% 135.13/135.34 cnf(1094,plain,
% 135.13/135.34 (P1(f14(f25(a1,a1),f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[934,293,120])).
% 135.13/135.34 cnf(1097,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f25(a1,f24(a1,a1)))),
% 135.13/135.34 inference(scs_inference,[],[1078,801,1075,1059,934,293,120,62,65])).
% 135.13/135.34 cnf(1099,plain,
% 135.13/135.34 (E(a1,f24(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[222,1078,801,1075,1059,934,293,120,62,65,2])).
% 135.13/135.34 cnf(1100,plain,
% 135.13/135.34 (~E(f6(f9(a3),a3),f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[218,222,1078,801,1075,1059,934,293,873,120,62,65,2,3])).
% 135.13/135.34 cnf(1114,plain,
% 135.13/135.34 (P2(a29,f31(f25(a1,a29),f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[1044,398,392,394,69,173])).
% 135.13/135.34 cnf(1115,plain,
% 135.13/135.34 (E(f31(f25(a1,a29),x11151),f31(a29,x11151))),
% 135.13/135.34 inference(rename_variables,[],[1044])).
% 135.13/135.34 cnf(1119,plain,
% 135.13/135.34 (P2(f14(f25(a1,a1),f13(f9(a3),a3)),a4)),
% 135.13/135.34 inference(scs_inference,[],[1094,1044,1115,398,392,394,69,173,55,387])).
% 135.13/135.34 cnf(1121,plain,
% 135.13/135.34 (P1(f25(f24(a1,a29),f24(a1,a29)))),
% 135.13/135.34 inference(scs_inference,[],[1094,325,1044,1115,398,392,394,69,173,55,387,110])).
% 135.13/135.34 cnf(1123,plain,
% 135.13/135.34 (P1(f24(f24(a1,a29),f24(a1,a29)))),
% 135.13/135.34 inference(scs_inference,[],[1094,325,1044,1115,398,392,394,69,173,55,387,110,111])).
% 135.13/135.34 cnf(1125,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f24(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[1094,1099,325,1044,1115,398,791,392,394,69,173,55,387,110,111,65])).
% 135.13/135.34 cnf(1126,plain,
% 135.13/135.34 (~E(f24(a1,a3),f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[1094,868,1099,325,1044,1115,398,791,392,394,69,173,55,387,110,111,65,2])).
% 135.13/135.34 cnf(1127,plain,
% 135.13/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a1),f25(a1,a29)))),
% 135.13/135.34 inference(scs_inference,[],[1094,868,936,1045,1099,325,1044,1115,398,791,392,394,69,173,55,387,110,111,65,2,3])).
% 135.13/135.34 cnf(1131,plain,
% 135.13/135.34 (P2(f24(a29,a1),a4)),
% 135.13/135.34 inference(scs_inference,[],[1094,868,936,1045,1080,1099,325,1044,1115,226,458,398,791,872,873,392,394,69,173,55,387,110,111,65,2,3,102,54])).
% 135.13/135.34 cnf(1144,plain,
% 135.13/135.34 (P1(f14(f24(a1,a1),f13(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[1125,291,120])).
% 135.13/135.34 cnf(1146,plain,
% 135.13/135.34 (P1(f25(f24(a1,a1),f24(a1,a1)))),
% 135.13/135.34 inference(scs_inference,[],[1125,291,120,110])).
% 135.13/135.34 cnf(1153,plain,
% 135.13/135.34 (E(a1,f24(a1,a3))),
% 135.13/135.34 inference(scs_inference,[],[224,1125,798,291,572,120,110,111,53,65,2])).
% 135.13/135.34 cnf(1154,plain,
% 135.13/135.34 (E(f24(a1,a29),f24(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[214,224,1125,798,291,1099,572,120,110,111,53,65,2,3])).
% 135.13/135.34 cnf(1155,plain,
% 135.13/135.34 (P1(f24(a29,a1))),
% 135.13/135.34 inference(scs_inference,[],[214,224,1125,798,1131,291,1099,572,120,110,111,53,65,2,3,388])).
% 135.13/135.34 cnf(1179,plain,
% 135.13/135.34 (~E(f24(f24(a1,a1),f25(a1,a29)),f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[1123,1127,1057,269,1045,53,65,2])).
% 135.13/135.34 cnf(1180,plain,
% 135.13/135.34 (~E(f6(f9(a3),a3),f24(a1,a3))),
% 135.13/135.34 inference(scs_inference,[],[224,1123,1127,1057,269,1045,873,53,65,2,3])).
% 135.13/135.34 cnf(1199,plain,
% 135.13/135.34 (E(f31(f24(a1,a1),x11991),f31(a1,x11991))),
% 135.13/135.34 inference(rename_variables,[],[799])).
% 135.13/135.34 cnf(1219,plain,
% 135.13/135.34 (E(f24(f23(a1),a1),a1)),
% 135.13/135.34 inference(scs_inference,[],[226,799,872,873,68,109,83,82,77,91,90,89,84,88,81,79])).
% 135.13/135.34 cnf(1223,plain,
% 135.13/135.34 (P4(f31(a1,f6(f9(a3),a3)))),
% 135.13/135.34 inference(scs_inference,[],[226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56])).
% 135.13/135.34 cnf(1236,plain,
% 135.13/135.34 (E(f14(f25(a1,a1),x12361),f14(a1,x12361))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43])).
% 135.13/135.34 cnf(1246,plain,
% 135.13/135.34 (E(f25(f25(a1,a1),x12461),f25(a1,x12461))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16])).
% 135.13/135.34 cnf(1247,plain,
% 135.13/135.34 (E(f31(f25(a1,a1),x12471),f31(a1,x12471))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14])).
% 135.13/135.34 cnf(1248,plain,
% 135.13/135.34 (E(f24(f25(a1,a1),x12481),f24(a1,x12481))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12])).
% 135.13/135.34 cnf(1264,plain,
% 135.13/135.34 (E(f25(x12641,f25(a1,a1)),f25(x12641,a1))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12,5,52,50,49,47,44,38,37,36,30,28,26,24,23,20,17])).
% 135.13/135.34 cnf(1266,plain,
% 135.13/135.34 (E(f24(x12661,f25(a1,a1)),f24(x12661,a1))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,799,1199,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12,5,52,50,49,47,44,38,37,36,30,28,26,24,23,20,17,15,13])).
% 135.13/135.34 cnf(1274,plain,
% 135.13/135.34 (P3(f13(f9(a3),a3),f24(a1,a3))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,1153,799,1199,791,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12,5,52,50,49,47,44,38,37,36,30,28,26,24,23,20,17,15,13,11,9,8,45,40,34,18,65])).
% 135.13/135.34 cnf(1275,plain,
% 135.13/135.34 (E(f24(a1,a1),f24(a1,a29))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,1154,1153,799,1199,791,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12,5,52,50,49,47,44,38,37,36,30,28,26,24,23,20,17,15,13,11,9,8,45,40,34,18,65,2])).
% 135.13/135.34 cnf(1276,plain,
% 135.13/135.34 (~E(f24(a1,f25(a1,a29)),f13(f9(a3),a3))),
% 135.13/135.34 inference(scs_inference,[],[216,226,1121,1154,1179,1153,826,799,1199,791,872,873,68,109,83,82,77,91,90,89,84,88,81,79,78,56,51,42,41,32,31,10,7,6,4,48,46,43,39,35,33,29,27,25,22,21,19,16,14,12,5,52,50,49,47,44,38,37,36,30,28,26,24,23,20,17,15,13,11,9,8,45,40,34,18,65,2,3])).
% 135.13/135.34 cnf(1295,plain,
% 135.13/135.34 (~P3(f24(a1,a29),f24(a1,a1))),
% 135.13/135.34 inference(scs_inference,[],[222,289,65])).
% 135.13/135.34 cnf(1297,plain,
% 135.13/135.34 (E(f24(a29,a1),f24(a1,a3))),
% 135.13/135.34 inference(scs_inference,[],[218,222,1180,1153,289,65,2,3])).
% 135.27/135.34 cnf(1316,plain,
% 135.27/135.34 (~P3(f24(a1,a29),f24(f25(a1,a1),a1))),
% 135.27/135.34 inference(scs_inference,[],[1295,1248,65])).
% 135.27/135.34 cnf(1319,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[222,1295,402,1248,873,65,2,3])).
% 135.27/135.34 cnf(1337,plain,
% 135.27/135.34 (P3(f13(f9(a3),a3),f24(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[226,1155,1058,871,934,387,120,65])).
% 135.27/135.34 cnf(1338,plain,
% 135.27/135.34 (~E(f24(a1,a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[226,1319,1155,1058,871,934,387,120,65,2])).
% 135.27/135.34 cnf(1339,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f24(a1,f25(a1,a1)))),
% 135.27/135.34 inference(scs_inference,[],[226,1319,1266,1155,1058,871,934,387,120,65,2,3])).
% 135.27/135.34 cnf(1346,plain,
% 135.27/135.34 (P2(f14(a1,f13(f9(a3),a3)),a4)),
% 135.27/135.34 inference(scs_inference,[],[226,1319,1236,1247,1266,1155,1058,1119,871,934,872,392,394,873,68,387,120,65,2,3,126,131,54])).
% 135.27/135.34 cnf(1348,plain,
% 135.27/135.34 (~P3(f24(a1,a1),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[226,1275,1084,1319,1236,1247,1266,1155,1058,1119,871,934,872,392,394,873,68,387,120,65,2,3,126,131,54,64])).
% 135.27/135.34 cnf(1366,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a29),a29))),
% 135.27/135.34 inference(scs_inference,[],[226,1337,351,110,111,64])).
% 135.27/135.34 cnf(1367,plain,
% 135.27/135.34 (~P3(f24(a1,a3),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[226,222,1337,351,572,110,111,64,65])).
% 135.27/135.34 cnf(1369,plain,
% 135.27/135.34 (E(f24(a1,a3),f24(a29,a1))),
% 135.27/135.34 inference(scs_inference,[],[230,224,226,222,1337,351,957,572,110,111,64,65,2,3])).
% 135.27/135.34 cnf(1372,plain,
% 135.27/135.34 (P10(f23(a1),f23(a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[230,224,226,222,1337,351,957,572,872,873,110,111,64,65,2,3,117,131])).
% 135.27/135.34 cnf(1390,plain,
% 135.27/135.34 (P1(f24(f24(a29,a1),f24(a29,a1)))),
% 135.27/135.34 inference(scs_inference,[],[1155,1337,325,120,110,111])).
% 135.27/135.34 cnf(1392,plain,
% 135.27/135.34 (P1(f24(a1,a3))),
% 135.27/135.34 inference(scs_inference,[],[1297,1155,1337,325,120,110,111,53])).
% 135.27/135.34 cnf(1397,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[222,1339,1316,956,763,1297,299,1155,1337,325,394,120,110,111,53,64,65,2,3])).
% 135.27/135.34 cnf(1400,plain,
% 135.27/135.34 (P7(a4,a4)),
% 135.27/135.34 inference(scs_inference,[],[222,1339,1316,956,763,1297,299,1155,1337,325,386,394,120,110,111,53,64,65,2,3,141,128])).
% 135.27/135.34 cnf(1405,plain,
% 135.27/135.34 (E(f31(f25(a1,a29),x14051),f31(a29,x14051))),
% 135.27/135.34 inference(rename_variables,[],[1044])).
% 135.27/135.34 cnf(1407,plain,
% 135.27/135.34 (~E(a4,f28(a4))),
% 135.27/135.34 inference(scs_inference,[],[1400,1346,1044,392,69,394,109,137])).
% 135.27/135.34 cnf(1411,plain,
% 135.27/135.34 (P1(f24(a1,f25(a1,a1)))),
% 135.27/135.34 inference(scs_inference,[],[1400,1346,301,1146,1044,1405,392,69,394,109,137,56,53])).
% 135.27/135.34 cnf(1415,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a29),f25(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[231,1400,1366,1246,1346,301,1146,973,1044,1405,1045,392,69,394,109,137,56,53,64,2,3])).
% 135.27/135.34 cnf(1502,plain,
% 135.27/135.34 (~E(f31(f25(a1,a29),f13(f9(a3),a3)),f28(a4))),
% 135.27/135.34 inference(scs_inference,[],[1114,344,1400,137])).
% 135.27/135.34 cnf(1504,plain,
% 135.27/135.34 (~P3(f24(a1,a3),f23(a1))),
% 135.27/135.34 inference(scs_inference,[],[224,226,1114,344,1400,137,94])).
% 135.27/135.34 cnf(1507,plain,
% 135.27/135.34 (E(f24(a1,a3),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[224,226,1397,1114,1099,344,1400,137,94,2,3])).
% 135.27/135.34 cnf(1555,plain,
% 135.27/135.34 (~E(f24(a1,a29),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[1338,1415,1504,797,1275,65,2,3])).
% 135.27/135.34 cnf(1566,plain,
% 135.27/135.34 (P1(f14(f24(a1,a3),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[1274,1392,120])).
% 135.27/135.34 cnf(1569,plain,
% 135.27/135.34 (E(f24(a1,a3),f24(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[233,1507,1274,1275,1392,120,2,3])).
% 135.27/135.34 cnf(1581,plain,
% 135.27/135.34 (P1(f25(f24(a3,a3),f24(a3,a3)))),
% 135.27/135.34 inference(scs_inference,[],[620,110])).
% 135.27/135.34 cnf(1585,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f24(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[1555,620,110,111,2])).
% 135.27/135.34 cnf(1602,plain,
% 135.27/135.34 (P1(f23(f25(f24(a3,a3),f24(a3,a3))))),
% 135.27/135.34 inference(scs_inference,[],[1581,714,83,77])).
% 135.27/135.34 cnf(1610,plain,
% 135.27/135.34 (E(f25(f23(f23(a3)),f23(a3)),a1)),
% 135.27/135.34 inference(scs_inference,[],[1581,714,83,77,84,91,89,88])).
% 135.27/135.34 cnf(1620,plain,
% 135.27/135.34 (E(f17(x16201,f24(a1,a3)),f17(x16201,f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,83,77,84,91,89,88,81,82,90,79,51])).
% 135.27/135.34 cnf(1634,plain,
% 135.27/135.34 (E(f12(x16341,f24(a1,a3)),f12(x16341,f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48])).
% 135.27/135.34 cnf(1639,plain,
% 135.27/135.34 (E(f21(x16391,f24(a1,a3),x16392),f21(x16391,f24(a1,a29),x16392))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37])).
% 135.27/135.34 cnf(1642,plain,
% 135.27/135.34 (E(f20(f24(a1,a3),x16421),f20(f24(a1,a29),x16421))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29])).
% 135.27/135.34 cnf(1646,plain,
% 135.27/135.34 (E(f25(f24(a1,a3),x16461),f25(f24(a1,a29),x16461))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16])).
% 135.27/135.34 cnf(1647,plain,
% 135.27/135.34 (E(f31(f24(a1,a3),x16471),f31(f24(a1,a29),x16471))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14])).
% 135.27/135.34 cnf(1650,plain,
% 135.27/135.34 (P1(f24(f25(a3,a3),f25(a3,a3)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14,8,6,111])).
% 135.27/135.34 cnf(1662,plain,
% 135.27/135.34 (E(f24(f24(a1,a3),x16621),f24(f24(a1,a29),x16621))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14,8,6,111,47,35,30,28,25,22,21,18,17,15,12])).
% 135.27/135.34 cnf(1665,plain,
% 135.27/135.34 (E(f9(f24(a1,a3)),f9(f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14,8,6,111,47,35,30,28,25,22,21,18,17,15,12,11,9,52])).
% 135.27/135.34 cnf(1671,plain,
% 135.27/135.34 (E(f24(x16711,f24(a1,a3)),f24(x16711,f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14,8,6,111,47,35,30,28,25,22,21,18,17,15,12,11,9,52,45,40,38,36,24,13])).
% 135.27/135.34 cnf(1673,plain,
% 135.27/135.34 (P1(f25(a1,f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1581,1569,266,1121,714,618,83,77,84,91,89,88,81,82,90,79,51,10,4,42,41,33,27,19,7,5,110,50,49,48,46,44,43,39,37,32,31,29,26,23,20,16,14,8,6,111,47,35,30,28,25,22,21,18,17,15,12,11,9,52,45,40,38,36,24,13,34,53])).
% 135.27/135.34 cnf(1722,plain,
% 135.27/135.34 (P2(f25(a1,a29),f31(f25(a1,a29),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[230,235,1650,1665,1610,1114,1059,387,2,3,99,94,54])).
% 135.27/135.34 cnf(1739,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f24(f25(a1,a1),a29))),
% 135.27/135.34 inference(scs_inference,[],[1585,955,1248,2,3])).
% 135.27/135.34 cnf(1773,plain,
% 135.27/135.34 (P2(f14(a1,f13(f9(a3),a3)),x17731)+~E(x17731,f26(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[232,1620,1739,860,1346,1400,2,3,150])).
% 135.27/135.34 cnf(1775,plain,
% 135.27/135.34 (P1(f25(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[232,1620,1739,1722,860,1346,1044,1400,69,392,394,2,3,150,126])).
% 135.27/135.34 cnf(1784,plain,
% 135.27/135.34 (P2(f14(a1,f13(f9(a3),a3)),f26(a4,a4))),
% 135.27/135.34 inference(equality_inference,[],[1773])).
% 135.27/135.34 cnf(1794,plain,
% 135.27/135.34 (E(f25(f23(f25(a1,a29)),f25(a1,a29)),a1)),
% 135.27/135.34 inference(scs_inference,[],[1411,1775,1075,69,392,394,176,83,77,89,88])).
% 135.27/135.34 cnf(1796,plain,
% 135.27/135.34 (E(f25(a1,f24(a1,a1)),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[1411,1775,1075,291,69,392,394,176,83,77,89,88,81])).
% 135.27/135.34 cnf(1798,plain,
% 135.27/135.34 (~E(f26(a4,a4),f28(a4))),
% 135.27/135.34 inference(scs_inference,[],[1784,1411,1775,1075,1346,291,69,1400,392,394,176,83,77,89,88,81,137])).
% 135.27/135.34 cnf(1819,plain,
% 135.27/135.34 (P1(f24(f25(a1,a29),f25(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1784,1411,1775,821,1075,1346,291,69,1400,392,394,176,83,77,89,88,81,137,84,82,91,79,90,78,10,51,41,33,27,5,4,111])).
% 135.27/135.34 cnf(1821,plain,
% 135.27/135.34 (P1(f25(f25(a1,a29),f25(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[1784,1411,1775,821,1075,1346,291,69,1400,392,394,176,83,77,89,88,81,137,84,82,91,79,90,78,10,51,41,33,27,5,4,111,110])).
% 135.27/135.34 cnf(1860,plain,
% 135.27/135.34 (E(f24(f24(a1,f23(a1)),x18601),f24(a1,x18601))),
% 135.27/135.34 inference(scs_inference,[],[1784,1411,1775,821,1075,1346,291,69,1400,392,394,176,83,77,89,88,81,137,84,82,91,79,90,78,10,51,41,33,27,5,4,111,110,50,48,43,42,31,29,26,20,19,16,8,7,6,49,47,46,44,39,37,35,32,28,23,21,15,14,11,9,52,45,36,30,25,22,18,17,13,12])).
% 135.27/135.34 cnf(1866,plain,
% 135.27/135.34 (~E(f24(a29,a1),f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[237,1784,1411,1126,1775,821,1369,1075,1346,291,69,1400,392,394,176,83,77,89,88,81,137,84,82,91,79,90,78,10,51,41,33,27,5,4,111,110,50,48,43,42,31,29,26,20,19,16,8,7,6,49,47,46,44,39,37,35,32,28,23,21,15,14,11,9,52,45,36,30,25,22,18,17,13,12,40,38,24,34,2,3])).
% 135.27/135.34 cnf(1888,plain,
% 135.27/135.34 (P1(f25(f25(a1,a1),f25(a1,a1)))),
% 135.27/135.34 inference(scs_inference,[],[1566,293,387,110])).
% 135.27/135.34 cnf(1890,plain,
% 135.27/135.34 (P1(f24(f25(a1,a1),f25(a1,a1)))),
% 135.27/135.34 inference(scs_inference,[],[1566,293,387,110,111])).
% 135.27/135.34 cnf(1895,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(a29,a1))),
% 135.27/135.34 inference(scs_inference,[],[1566,1821,1866,1022,1154,458,293,387,110,111,53,54,2])).
% 135.27/135.34 cnf(1979,plain,
% 135.27/135.34 (P1(f25(a1,f25(a1,a1)))),
% 135.27/135.34 inference(scs_inference,[],[1888,1246,53])).
% 135.27/135.34 cnf(1988,plain,
% 135.27/135.34 (P2(f25(a1,f25(a1,a1)),a4)),
% 135.27/135.34 inference(scs_inference,[],[1979,387])).
% 135.27/135.34 cnf(1994,plain,
% 135.27/135.34 (~E(f11(f6(f9(a3),a3)),f25(a3,a1))),
% 135.27/135.34 inference(scs_inference,[],[1979,1796,1100,1079,1794,724,1367,387,94,65,2,3])).
% 135.27/135.34 cnf(2018,plain,
% 135.27/135.34 (P2(f25(f25(a1,a1),f24(a1,a29)),a4)),
% 135.27/135.34 inference(scs_inference,[],[1988,783,54])).
% 135.27/135.34 cnf(2019,plain,
% 135.27/135.34 (E(f14(a1,x20191),f14(f24(a1,a29),x20191))),
% 135.27/135.34 inference(scs_inference,[],[239,1988,783,54,2])).
% 135.27/135.34 cnf(2025,plain,
% 135.27/135.34 (P1(f25(f25(a1,a1),f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[239,238,1988,783,1372,872,873,226,54,2,3,173,388])).
% 135.27/135.34 cnf(2042,plain,
% 135.27/135.34 (P2(f14(f24(a1,a29),f13(f9(a3),a3)),f26(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[2019,1784,54])).
% 135.27/135.34 cnf(2054,plain,
% 135.27/135.34 (E(f25(a1,f24(a29,a1)),f24(a29,a1))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,1784,1155,54,2,3,98,83,77,81])).
% 135.27/135.34 cnf(2091,plain,
% 135.27/135.34 (E(f13(x20911,f25(a1,a3)),f13(x20911,a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19])).
% 135.27/135.34 cnf(2092,plain,
% 135.27/135.34 (E(f25(f25(a1,a3),x20921),f25(a3,x20921))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16])).
% 135.27/135.34 cnf(2093,plain,
% 135.27/135.34 (E(f31(x20931,f25(a1,a3)),f31(x20931,a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15])).
% 135.27/135.34 cnf(2094,plain,
% 135.27/135.34 (E(f31(f25(a1,a3),x20941),f31(a3,x20941))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15,14])).
% 135.27/135.34 cnf(2100,plain,
% 135.27/135.34 (E(f6(x21001,f25(a1,a3)),f6(x21001,a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15,14,11,9,7,49,47,46])).
% 135.27/135.34 cnf(2111,plain,
% 135.27/135.34 (E(f9(f25(a1,a3)),f9(a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15,14,11,9,7,49,47,46,44,37,36,35,32,28,25,21,17,12,52])).
% 135.27/135.34 cnf(2119,plain,
% 135.27/135.34 (E(f24(x21191,f25(a1,a3)),f24(x21191,a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15,14,11,9,7,49,47,46,44,37,36,35,32,28,25,21,17,12,52,45,40,38,30,24,22,18,13])).
% 135.27/135.34 cnf(2121,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),f24(a1,a29)),f25(f25(a1,a1),f24(a1,a29)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[235,2025,1634,1994,2019,876,738,1784,1155,872,873,54,2,3,98,83,77,81,84,91,89,88,82,79,90,78,51,33,27,10,50,43,42,41,29,20,8,6,5,4,48,39,31,26,23,19,16,15,14,11,9,7,49,47,46,44,37,36,35,32,28,25,21,17,12,52,45,40,38,30,24,22,18,13,34,131])).
% 135.27/135.34 cnf(2136,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f25(a1,f24(a29,a1)))),
% 135.27/135.34 inference(scs_inference,[],[240,1895,2054,2092,2094,913,880,58,64,2,3])).
% 135.27/135.34 cnf(2139,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),f24(a1,a29)),f25(a1,f25(a1,a1)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[240,2121,1895,2054,2092,2094,913,880,700,872,873,58,64,2,3,155,62])).
% 135.27/135.34 cnf(2140,plain,
% 135.27/135.34 (P10(f25(a1,f25(a1,a1)),f25(f25(a1,a1),f24(a1,a29)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[240,2121,1895,2054,2092,2094,913,880,700,872,873,58,64,2,3,155,62,61])).
% 135.27/135.34 cnf(2141,plain,
% 135.27/135.34 (P1(f25(f25(a29,a29),f25(a29,a29)))),
% 135.27/135.34 inference(scs_inference,[],[240,2121,1895,2054,2092,2094,913,880,700,328,872,873,58,64,2,3,155,62,61,110])).
% 135.27/135.34 cnf(2158,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),a1),f25(a1,f25(a1,a1)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2139,265,61])).
% 135.27/135.34 cnf(2159,plain,
% 135.27/135.34 (E(f25(x21591,f24(a1,a29)),f25(x21591,a1))),
% 135.27/135.34 inference(rename_variables,[],[265])).
% 135.27/135.34 cnf(2160,plain,
% 135.27/135.34 (P1(f25(f24(a1,a3),f24(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[2139,265,1392,61,110])).
% 135.27/135.34 cnf(2162,plain,
% 135.27/135.34 (P1(f24(f24(a1,a3),f24(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[2139,265,1392,61,110,111])).
% 135.27/135.34 cnf(2177,plain,
% 135.27/135.34 (P2(f25(f25(a1,a1),a1),a4)),
% 135.27/135.34 inference(scs_inference,[],[236,237,2141,2139,1671,2136,1860,421,869,2018,2094,265,2159,1392,392,394,61,110,111,65,2,3,122,58,131,54])).
% 135.27/135.34 cnf(2195,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),a1),f25(f25(a1,a1),f24(a1,a29)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2158,783,62])).
% 135.27/135.34 cnf(2219,plain,
% 135.27/135.34 (P2(f24(f24(a1,a3),f24(a1,a3)),a4)),
% 135.27/135.34 inference(scs_inference,[],[2162,387])).
% 135.27/135.34 cnf(2221,plain,
% 135.27/135.34 (P1(f24(f24(a1,a3),f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[2162,1671,387,53])).
% 135.27/135.34 cnf(2222,plain,
% 135.27/135.34 (E(f24(x22221,f24(a1,a3)),f24(x22221,f24(a1,a29)))),
% 135.27/135.34 inference(rename_variables,[],[1671])).
% 135.27/135.34 cnf(2223,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(a1,f25(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[2162,1276,1671,387,53,2])).
% 135.27/135.34 cnf(2227,plain,
% 135.27/135.34 (P2(f24(f24(a1,a3),f24(a1,a29)),a4)),
% 135.27/135.34 inference(scs_inference,[],[2162,2177,2111,1276,974,1671,2222,862,387,53,2,3,145,54])).
% 135.27/135.34 cnf(2235,plain,
% 135.27/135.34 (P1(f25(f25(a1,a1),a1))),
% 135.27/135.34 inference(scs_inference,[],[2177,388])).
% 135.27/135.34 cnf(2237,plain,
% 135.27/135.34 (P10(f25(a1,f25(a1,a1)),f25(f25(a1,a1),a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2158,2177,1979,872,873,388,177])).
% 135.27/135.34 cnf(2263,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),a1),f25(f25(a1,a1),a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,2158,1979,872,873,194])).
% 135.27/135.34 cnf(2265,plain,
% 135.27/135.34 (E(f25(f24(a1,a1),a1),f24(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,2158,1979,291,872,873,194,83])).
% 135.27/135.34 cnf(2267,plain,
% 135.27/135.34 (E(f25(a1,f24(a1,a29)),f24(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,2158,1979,291,325,872,873,194,83,81])).
% 135.27/135.34 cnf(2271,plain,
% 135.27/135.34 (P1(f23(f25(f25(a1,a1),a1)))),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,2158,1979,291,325,872,873,194,83,81,84,77])).
% 135.27/135.34 cnf(2277,plain,
% 135.27/135.34 (E(f25(f24(a1,a1),f23(f24(a1,a1))),a1)),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,2158,1979,291,325,872,873,194,83,81,84,77,91,82,89])).
% 135.27/135.34 cnf(2320,plain,
% 135.27/135.34 (E(f24(f25(f23(a3),a3),x23201),f24(a1,x23201))),
% 135.27/135.34 inference(scs_inference,[],[2237,2235,720,2158,1979,291,325,872,873,194,83,81,84,77,91,82,89,88,90,78,79,10,51,50,43,42,41,33,27,20,4,39,31,29,26,23,19,16,9,8,7,6,5,49,48,47,46,44,37,32,21,17,15,14,12])).
% 135.27/135.34 cnf(2351,plain,
% 135.27/135.34 (P10(f25(a1,f25(a1,a1)),f25(a1,f25(a1,a1)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2195,2140,2139,1979,2025,2235,872,873,177,194])).
% 135.27/135.34 cnf(2353,plain,
% 135.27/135.34 (P4(f31(f25(a1,a1),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[2195,2140,1247,2139,1979,2025,2235,68,392,872,394,873,177,194,109])).
% 135.27/135.34 cnf(2356,plain,
% 135.27/135.34 (~P3(f24(a1,a29),f25(f24(a1,a1),a1))),
% 135.27/135.34 inference(scs_inference,[],[2195,2265,2140,1295,1247,2139,1979,2025,2235,68,392,872,394,873,177,194,109,65])).
% 135.27/135.34 cnf(2357,plain,
% 135.27/135.34 (E(f28(a1),f28(f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[243,2195,2265,2140,1295,1247,2139,1979,2025,2235,68,392,872,394,873,177,194,109,65,2])).
% 135.27/135.34 cnf(2360,plain,
% 135.27/135.34 (P2(f24(f24(a1,a3),f24(a1,a29)),x23601)+~E(x23601,f27(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[243,2195,2221,2265,2320,2223,2140,2227,1295,1247,2139,1979,2025,2235,68,392,872,394,873,1400,177,194,109,65,2,3,168])).
% 135.27/135.34 cnf(2375,plain,
% 135.27/135.34 (P2(f24(f24(a1,a3),f24(a1,a29)),f27(a4,a4))),
% 135.27/135.34 inference(equality_inference,[],[2360])).
% 135.27/135.34 cnf(2376,plain,
% 135.27/135.34 (P10(f25(a1,f25(a1,a1)),f25(a1,a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2351,1264,62])).
% 135.27/135.34 cnf(2377,plain,
% 135.27/135.34 (E(f25(x23771,f25(a1,a1)),f25(x23771,a1))),
% 135.27/135.34 inference(rename_variables,[],[1264])).
% 135.27/135.34 cnf(2378,plain,
% 135.27/135.34 (P10(f25(a1,a1),f25(a1,f25(a1,a1)),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2351,1264,2377,62,61])).
% 135.27/135.34 cnf(2401,plain,
% 135.27/135.34 (P2(f24(f24(a1,a3),a1),f27(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[2376,2375,269,2094,783,392,394,209,109,61,54])).
% 135.27/135.34 cnf(2423,plain,
% 135.27/135.34 (P10(f25(f25(a1,a1),a1),f25(a1,a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2263,2271,1246,387,62])).
% 135.27/135.34 cnf(2430,plain,
% 135.27/135.34 (~E(f2(a30),f9(f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[2263,2271,2277,336,1798,1819,1023,2111,1246,326,387,62,94,53,2,3])).
% 135.27/135.34 cnf(2451,plain,
% 135.27/135.34 (P1(f24(f25(a1,a1),a1))),
% 135.27/135.34 inference(scs_inference,[],[1890,1266,53])).
% 135.27/135.34 cnf(2453,plain,
% 135.27/135.34 (P2(f24(f24(a1,a29),a1),f27(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[1890,2401,1266,1662,53,54])).
% 135.27/135.34 cnf(2469,plain,
% 135.27/135.34 (E(f25(f24(a1,a29),a1),f24(a1,a29))),
% 135.27/135.34 inference(scs_inference,[],[325,620,81,83])).
% 135.27/135.34 cnf(2479,plain,
% 135.27/135.34 (E(f25(f25(a1,a1),f23(f25(a1,a1))),a1)),
% 135.27/135.34 inference(scs_inference,[],[2451,293,325,620,81,83,84,82,77,91,89])).
% 135.27/135.34 cnf(2481,plain,
% 135.27/135.34 (E(f25(f23(f25(a1,a1)),f25(a1,a1)),a1)),
% 135.27/135.34 inference(scs_inference,[],[2451,293,325,620,81,83,84,82,77,91,89,88])).
% 135.27/135.34 cnf(2515,plain,
% 135.27/135.34 (E(f31(f24(a3,a29),x25151),f31(a3,x25151))),
% 135.27/135.34 inference(scs_inference,[],[2451,722,293,325,620,81,83,84,82,77,91,89,88,78,79,90,10,43,41,20,4,51,50,42,33,27,26,23,19,16,9,8,5,49,48,44,39,32,31,29,21,15,14])).
% 135.27/135.34 cnf(2563,plain,
% 135.27/135.34 (P10(f25(a1,f24(a1,a29)),f25(a1,f24(a1,a29)),f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[246,2353,2267,2515,1673,699,880,392,394,2,3,98,58,131])).
% 135.27/135.34 cnf(2566,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a29),a29),f25(a1,f24(a1,a29)))),
% 135.27/135.34 inference(scs_inference,[],[246,2353,2267,2356,2515,1673,699,351,880,392,394,2,3,98,58,131,64,65])).
% 135.27/135.34 cnf(2602,plain,
% 135.27/135.34 (E(f31(f24(a3,a29),x26021),f31(a3,x26021))),
% 135.27/135.34 inference(rename_variables,[],[2515])).
% 135.27/135.34 cnf(2604,plain,
% 135.27/135.34 (~P7(f31(f24(a3,a29),f13(f9(a3),a3)),f2(a30))),
% 135.27/135.34 inference(scs_inference,[],[781,2515,2602,421,392,394,209,173,58])).
% 135.27/135.34 cnf(2606,plain,
% 135.27/135.34 (P10(f25(a1,a1),f25(a1,a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2378,781,2515,2602,421,1264,392,394,209,173,58,62])).
% 135.27/135.34 cnf(2608,plain,
% 135.27/135.34 (P10(f24(a1,a29),f25(a1,f24(a1,a29)),f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2378,2563,781,2515,2602,421,1264,2267,392,394,209,173,58,62,61])).
% 135.27/135.34 cnf(2626,plain,
% 135.27/135.34 (P2(f24(a1,a1),f27(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[2606,1602,2453,871,270,387,61,54])).
% 135.27/135.34 cnf(2629,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(a1,f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[2606,2119,2430,1602,868,2453,871,270,387,61,54,2,3])).
% 135.27/135.34 cnf(2644,plain,
% 135.27/135.34 (P10(f24(a1,a29),f25(a1,a1),f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2608,265,62])).
% 135.27/135.34 cnf(2648,plain,
% 135.27/135.34 (P1(f25(f25(a1,a29),a29))),
% 135.27/135.34 inference(scs_inference,[],[2608,2479,1042,1821,265,618,62,94,53])).
% 135.27/135.34 cnf(2672,plain,
% 135.27/135.34 (E(f25(f23(f24(a1,a29)),f24(a1,a29)),a1)),
% 135.27/135.34 inference(scs_inference,[],[325,326,83,81,82,88])).
% 135.27/135.34 cnf(2676,plain,
% 135.27/135.34 (P1(f23(f25(f25(a1,a29),a29)))),
% 135.27/135.34 inference(scs_inference,[],[2648,325,326,83,81,82,88,84,77])).
% 135.27/135.34 cnf(2739,plain,
% 135.27/135.34 (P2(f24(a1,a29),f27(a4,a4))),
% 135.27/135.34 inference(scs_inference,[],[2626,2648,740,2160,1646,1275,325,326,83,81,82,88,84,77,91,89,78,90,79,43,41,10,4,51,42,33,26,23,20,16,9,5,50,44,27,21,19,14,8,49,48,47,39,32,31,29,28,15,12,11,7,6,46,45,37,30,25,22,18,17,13,52,40,38,36,35,34,24,53,54])).
% 135.27/135.34 cnf(2746,plain,
% 135.27/135.34 (P10(f25(f25(a1,a29),a29),f25(f25(a1,a29),a29),f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[244,246,2626,2629,2648,740,2160,1646,1275,325,326,392,394,83,81,82,88,84,77,91,89,78,90,79,43,41,10,4,51,42,33,26,23,20,16,9,5,50,44,27,21,19,14,8,49,48,47,39,32,31,29,28,15,12,11,7,6,46,45,37,30,25,22,18,17,13,52,40,38,36,35,34,24,53,54,2,3,158,131])).
% 135.27/135.34 cnf(2767,plain,
% 135.27/135.34 (~P3(f24(a1,a3),f25(f24(a1,a29),a1))),
% 135.27/135.34 inference(scs_inference,[],[249,2739,2676,2469,1097,1585,726,869,94,2,3,153,64,65])).
% 135.27/135.34 cnf(2813,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a3),a29))),
% 135.27/135.34 inference(scs_inference,[],[2423,2746,1144,1366,936,1022,871,1662,387,62,61,2,3])).
% 135.27/135.34 cnf(2817,plain,
% 135.27/135.34 (P10(f25(a1,a1),f25(f25(a1,a1),a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2423,2746,1144,1366,936,1022,2453,871,1662,2235,293,872,873,387,62,61,2,3,107,177])).
% 135.27/135.34 cnf(2831,plain,
% 135.27/135.34 (P10(f24(a1,a29),f25(f25(a1,a1),a1),f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[2817,871,61])).
% 135.27/135.34 cnf(2840,plain,
% 135.27/135.34 (P1(f24(f24(a1,a3),a1))),
% 135.27/135.34 inference(scs_inference,[],[246,251,2817,1639,1223,269,2227,871,61,54,2,3,98,388])).
% 135.27/135.34 cnf(2890,plain,
% 135.27/135.34 (E(f31(f24(f23(a1),a1),x28901),f31(a1,x28901))),
% 135.27/135.34 inference(scs_inference,[],[2644,2840,1219,620,1392,293,325,392,394,177,81,83,82,88,84,77,91,89,78,90,79,41,51,43,42,33,23,16,10,9,4,50,27,26,20,19,14])).
% 135.27/135.34 cnf(2935,plain,
% 135.27/135.34 (E(f31(f24(a1,a3),x29351),f31(f24(a1,a29),x29351))),
% 135.27/135.34 inference(rename_variables,[],[1647])).
% 135.27/135.34 cnf(2937,plain,
% 135.27/135.34 (P2(f25(a1,a1),f31(f24(a1,a29),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[252,2831,2644,2813,1642,2357,2840,2481,1219,404,297,1647,2935,1581,620,1392,293,325,392,394,177,81,83,82,88,84,77,91,89,78,90,79,41,51,43,42,33,23,16,10,9,4,50,27,26,20,19,14,8,5,48,44,32,31,29,21,15,11,6,49,47,45,39,37,30,28,25,22,18,13,12,7,62,52,46,40,38,24,17,36,35,34,94,53,2,3,96,173,55])).
% 135.27/135.34 cnf(2959,plain,
% 135.27/135.34 (P1(f24(f13(f9(a3),a3),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[392,2626,2162,222,1569,1662,270,868,2,3,54,53,111])).
% 135.27/135.34 cnf(2969,plain,
% 135.27/135.34 (E(f24(f13(f9(a3),a3),f15(f9(a3),a3,a3)),f25(a3,f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,226,392,210,2626,2162,787,862,222,1569,337,1662,270,868,2,3,54,53,111,110,137,143,166,202])).
% 135.27/135.34 cnf(3021,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a29),a1),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[1348,283,270,303,1407,2,3,65,64])).
% 135.27/135.34 cnf(3035,plain,
% 135.27/135.34 (P2(f6(f9(a3),a3),a4)),
% 135.27/135.34 inference(scs_inference,[],[872,283,2,387])).
% 135.27/135.34 cnf(3037,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f25(a1,f23(a1)))),
% 135.27/135.34 inference(scs_inference,[],[873,872,283,2,387,3])).
% 135.27/135.34 cnf(3042,plain,
% 135.27/135.34 (P3(x30421,f25(a3,f23(a3)))+~E(f13(f9(a3),a3),x30421)),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,2937,789,224,283,268,2,387,3,55,94,64])).
% 135.27/135.34 cnf(3043,plain,
% 135.27/135.34 (~E(f9(a3),x30431)+P3(f13(x30431,a3),f25(a3,f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,2937,789,224,283,268,2,387,3,55,94,64,18])).
% 135.27/135.34 cnf(3044,plain,
% 135.27/135.34 (~E(a3,x30441)+P3(f13(f9(x30441),a3),f25(a3,f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,2937,789,224,283,268,2,387,3,55,94,64,18,52])).
% 135.27/135.34 cnf(3053,plain,
% 135.27/135.34 (~E(f6(f9(a3),a3),f24(f24(a1,a29),a1))),
% 135.27/135.34 inference(scs_inference,[],[224,270,218,1319,1502,2,18,52,3])).
% 135.27/135.34 cnf(3056,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a3),a1),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3021,224,283,270,218,1662,572,1319,1502,2,18,52,3,65,64])).
% 135.27/135.34 cnf(3096,plain,
% 135.27/135.34 (E(f25(f24(a1,a3),x30961),f25(a1,x30961))),
% 135.27/135.34 inference(scs_inference,[],[209,3021,224,222,283,270,218,1662,572,2139,1246,1319,1502,2,18,52,3,65,64,61,94,35,36,34,38,40,46,7,12,17,22,24,25,28,37,39,45,47,49,11,13,21,30,31,32,5,6,15,29,44,48,50,4,8,14,16])).
% 135.27/135.34 cnf(3109,plain,
% 135.27/135.34 (E(f24(f6(f9(a3),a3),a1),a1)),
% 135.27/135.34 inference(scs_inference,[],[209,872,3021,224,222,283,270,218,1662,572,2139,1246,1319,1502,2,18,52,3,65,64,61,94,35,36,34,38,40,46,7,12,17,22,24,25,28,37,39,45,47,49,11,13,21,30,31,32,5,6,15,29,44,48,50,4,8,14,16,19,20,26,27,42,43,51,9,10,23,33,41,79])).
% 135.27/135.34 cnf(3138,plain,
% 135.27/135.34 (E(a3,f25(a1,a3))),
% 135.27/135.34 inference(scs_inference,[],[738,2])).
% 135.27/135.34 cnf(3142,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a3),f24(a1,a29)),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3056,738,722,270,269,1367,2,65,3,64])).
% 135.27/135.34 cnf(3144,plain,
% 135.27/135.34 (P10(f25(a1,a1),a1,f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[392,394,2937,3056,738,722,68,270,268,269,1367,2,65,3,64,158])).
% 135.27/135.34 cnf(3161,plain,
% 135.27/135.34 (~E(f11(f6(f9(a3),a3)),f25(a1,a3))),
% 135.27/135.34 inference(scs_inference,[],[738,1079,3053,2,3])).
% 135.27/135.34 cnf(3162,plain,
% 135.27/135.34 (P1(f25(a1,a3))),
% 135.27/135.34 inference(scs_inference,[],[209,738,1079,3138,3053,2,3,53])).
% 135.27/135.34 cnf(3165,plain,
% 135.27/135.34 (P1(f24(f25(a1,a3),f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[209,872,224,738,1079,3138,3053,2,3,53,94,111])).
% 135.27/135.34 cnf(3170,plain,
% 135.27/135.34 (P10(a3,a3,f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,224,738,417,1079,3138,3053,2,3,53,94,111,110,65,131])).
% 135.27/135.34 cnf(3183,plain,
% 135.27/135.34 (E(a3,f24(a3,a29))),
% 135.27/135.34 inference(scs_inference,[],[722,2])).
% 135.27/135.34 cnf(3185,plain,
% 135.27/135.34 (~E(f31(a29,f13(f9(a3),a3)),f28(a4))),
% 135.27/135.34 inference(scs_inference,[],[738,722,1044,1502,907,2,65,3])).
% 135.27/135.34 cnf(3187,plain,
% 135.27/135.34 (~P3(f24(a1,f25(a1,a29)),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[1084,738,722,1045,1044,1502,907,2,65,3,64])).
% 135.27/135.34 cnf(3191,plain,
% 135.27/135.34 (P2(a3,f31(a3,f6(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,1084,3170,283,738,722,1045,1044,1502,907,2,65,3,64,94,170])).
% 135.27/135.34 cnf(3193,plain,
% 135.27/135.34 (P3(f6(f9(a3),a3),a1)),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,1084,3170,283,738,722,68,1045,1044,1502,907,3109,2,65,3,64,94,170,122])).
% 135.27/135.34 cnf(3195,plain,
% 135.27/135.34 (P2(f13(f9(a3),a3),a4)),
% 135.27/135.34 inference(scs_inference,[],[209,873,872,392,1084,3170,283,738,722,68,1045,1044,1502,907,3109,2,65,3,64,94,170,122,387])).
% 135.27/135.34 cnf(3207,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a3),f24(a1,a3)),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3142,973,1671,2119,3161,2,65,64])).
% 135.27/135.34 cnf(3210,plain,
% 135.27/135.34 (P3(f6(f9(a3),a3),f25(a3,f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[873,872,3142,3191,720,303,973,1671,2119,3161,2,65,64,3,155])).
% 135.27/135.34 cnf(3214,plain,
% 135.27/135.34 (P3(f13(f9(a3),a3),f25(f25(a1,a1),f23(a1)))),
% 135.27/135.34 inference(scs_inference,[],[873,872,392,394,293,3142,3191,720,68,303,973,1671,2119,3161,3144,2,65,64,3,155,142,176])).
% 135.27/135.34 cnf(3232,plain,
% 135.27/135.34 (E(f24(f24(a29,a1),x32321),f24(a1,x32321))),
% 135.27/135.34 inference(scs_inference,[],[873,872,392,394,293,3142,3191,720,68,218,1059,303,973,1671,2119,3161,3144,2,65,64,3,155,142,176,49,19,48,39,7,41,16,43,5,20,47,36,26,32,25,8,12])).
% 135.27/135.34 cnf(3271,plain,
% 135.27/135.34 (E(f24(f23(a29),f24(a29,a29)),f23(f24(a29,a29)))),
% 135.27/135.34 inference(scs_inference,[],[873,872,392,394,293,326,3142,3191,720,68,218,1059,303,973,1671,2119,3161,3144,2,65,64,3,155,142,176,49,19,48,39,7,41,16,43,5,20,47,36,26,32,25,8,12,27,37,38,13,46,9,10,45,33,40,44,31,23,15,4,17,77,82,24,21,34,50,35,42,6,14,89,78,29,22,51,28,11,30,91])).
% 135.27/135.34 cnf(3292,plain,
% 135.27/135.34 (~E(f11(f6(f9(a3),a3)),f24(a3,a29))),
% 135.27/135.34 inference(scs_inference,[],[722,720,1246,1079,3214,2,65,3])).
% 135.27/135.34 cnf(3293,plain,
% 135.27/135.34 (P10(f25(a1,a3),a3,f13(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[781,722,720,1246,3138,1079,3214,2,65,3,61])).
% 135.27/135.34 cnf(3296,plain,
% 135.27/135.34 (P2(f25(a1,a3),f31(a3,f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[392,210,781,3162,224,722,720,337,1246,3138,1079,3214,2,65,3,61,94,193])).
% 135.27/135.34 cnf(3305,plain,
% 135.27/135.34 (~E(f9(a3),x33051)+P3(f6(x33051,a3),f25(a3,f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[392,394,210,781,3162,3210,224,218,722,720,68,337,1059,1246,3138,1079,3214,2,65,3,61,94,193,175,18,52,64,196,45])).
% 135.27/135.34 cnf(3315,plain,
% 135.27/135.34 (~P3(a1,f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[1084,722,1059,303,907,3292,2,45,65,64])).
% 135.27/135.34 cnf(3316,plain,
% 135.27/135.34 (~E(f13(f9(a3),a3),f24(f24(a1,a29),a1))),
% 135.27/135.34 inference(scs_inference,[],[1084,722,1059,270,303,907,1397,3292,2,45,65,64,3])).
% 135.27/135.34 cnf(3331,plain,
% 135.27/135.34 (~P3(f24(f24(a1,a29),f25(a1,a29)),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3187,821,270,1246,2566,2,65,64])).
% 135.27/135.34 cnf(3336,plain,
% 135.27/135.34 (P3(f13(f9(a3),a3),f25(f25(a1,a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[210,1390,3296,3187,218,821,337,270,303,1246,2566,3232,2,65,64,3,53,191])).
% 135.27/135.34 cnf(3353,plain,
% 135.27/135.34 (P2(f25(a1,a3),f9(a3))),
% 135.27/135.34 inference(scs_inference,[],[72,873,210,3296,720,68,337,303,3138,3185,3193,2,65,3,54,120,182])).
% 135.27/135.34 cnf(3357,plain,
% 135.27/135.34 (P1(f6(f9(a3),f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,873,392,394,210,3296,862,720,68,337,303,348,3138,3185,3193,2,65,3,54,120,182,142,138])).
% 135.27/135.34 cnf(3379,plain,
% 135.27/135.34 (E(f24(a29,x33791),f24(f25(a1,a29),x33791))),
% 135.27/135.34 inference(scs_inference,[],[72,873,392,394,210,3296,862,720,68,337,1059,303,348,871,3138,3185,3193,2,65,3,54,120,182,142,138,7,41,27,43,5,48,19,16,20,47,10,13,44,15,37,17,49,21,33,31,12])).
% 135.27/135.34 cnf(3409,plain,
% 135.27/135.34 (P1(f23(f25(a3,a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,873,392,394,210,618,1392,3296,862,720,68,337,1059,303,348,871,3138,3185,3193,2,65,3,54,120,182,142,138,7,41,27,43,5,48,19,16,20,47,10,13,44,15,37,17,49,21,33,31,12,46,24,4,6,32,26,22,23,42,39,35,40,36,9,8,25,38,29,14,34,82,50,51,89,28,11,30,77])).
% 135.27/135.34 cnf(3425,plain,
% 135.27/135.34 (P2(f9(f25(a1,a3)),a30)),
% 135.27/135.34 inference(scs_inference,[],[72,873,392,394,210,618,620,1392,3296,3162,862,720,68,337,1059,303,348,871,3138,3185,3193,2,65,3,54,120,182,142,138,7,41,27,43,5,48,19,16,20,47,10,13,44,15,37,17,49,21,33,31,12,46,24,4,6,32,26,22,23,42,39,35,40,36,9,8,25,38,29,14,34,82,50,51,89,28,11,30,77,84,78,90,79,91,83,88,114])).
% 135.27/135.34 cnf(3427,plain,
% 135.27/135.34 (P2(f25(a1,a3),f9(f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,873,392,394,210,618,620,1392,3296,3162,862,720,68,337,1059,303,348,871,3138,3185,3193,2,65,3,54,120,182,142,138,7,41,27,43,5,48,19,16,20,47,10,13,44,15,37,17,49,21,33,31,12,46,24,4,6,32,26,22,23,42,39,35,40,36,9,8,25,38,29,14,34,82,50,51,89,28,11,30,77,84,78,90,79,91,83,88,114,115])).
% 135.27/135.34 cnf(3454,plain,
% 135.27/135.34 (P2(a1,f31(f24(a1,a29),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[2937,3315,218,216,720,740,270,572,1180,2,65,64,3,54])).
% 135.27/135.34 cnf(3477,plain,
% 135.27/135.34 (E(f24(f24(a1,a3),x34771),f24(f24(a1,a29),x34771))),
% 135.27/135.34 inference(rename_variables,[],[1662])).
% 135.27/135.34 cnf(3481,plain,
% 135.27/135.34 (P10(f25(a1,a3),a3,f6(f9(a3),a3))),
% 135.27/135.34 inference(scs_inference,[],[3170,3331,821,303,1662,3477,3138,574,3316,2,65,64,3,61])).
% 135.27/135.34 cnf(3482,plain,
% 135.27/135.34 (P7(f31(f25(a1,a3),f13(f9(a3),f25(a1,a3))),f9(a3))),
% 135.27/135.34 inference(scs_inference,[],[3353,3170,3331,821,337,303,1662,3477,3138,574,3316,2,65,64,3,61,162])).
% 135.27/135.34 cnf(3489,plain,
% 135.27/135.34 (P7(f31(a3,f13(f9(a3),f25(a1,a3))),f9(a3))),
% 135.27/135.34 inference(scs_inference,[],[1219,2094,3482,2,58])).
% 135.27/135.34 cnf(3502,plain,
% 135.27/135.34 (~E(f9(a3),x35021)+P3(f13(x35021,a3),f25(f25(a1,a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[873,392,394,618,325,326,293,344,3336,3454,224,1059,821,1219,68,2094,268,2644,3144,3482,2,58,3,55,54,94,194,387,64,18])).
% 135.27/135.34 cnf(3512,plain,
% 135.27/135.34 (~P3(f25(a1,a1),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3315,216,871,1246,910,3037,2,18,3,64])).
% 135.27/135.34 cnf(3513,plain,
% 135.27/135.34 (P2(f24(a1,a29),f31(f24(a1,a29),f13(f9(a3),a3)))),
% 135.27/135.34 inference(scs_inference,[],[2937,3315,216,871,1246,910,3037,2,18,3,64,54])).
% 135.27/135.34 cnf(3520,plain,
% 135.27/135.34 (P7(f31(f25(a1,a3),f6(f9(a3),f25(a1,a3))),f9(a3))),
% 135.27/135.34 inference(scs_inference,[],[72,1400,209,3353,2937,570,1123,3315,862,216,821,270,348,871,1246,910,3037,2,18,3,64,54,94,53,137,171])).
% 135.27/135.34 cnf(3524,plain,
% 135.27/135.34 (E(f25(f25(a1,a1),x35241),f25(f24(a1,a29),x35241))),
% 135.27/135.34 inference(scs_inference,[],[72,1400,209,3353,2937,570,1123,3315,862,216,821,270,348,871,1246,910,3037,2,18,3,64,54,94,53,137,171,41,43,16])).
% 135.27/135.34 cnf(3586,plain,
% 135.27/135.34 (P6(f9(f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,1400,209,325,620,3353,2937,570,3162,1123,3315,3425,862,216,821,69,270,348,871,3138,1246,910,3037,2,18,3,64,54,94,53,137,171,41,43,16,17,31,7,48,27,20,32,49,13,47,5,26,42,39,24,36,33,12,19,38,14,46,21,22,4,10,37,35,6,15,44,28,23,51,8,25,40,11,9,89,29,30,34,50,84,82,79,90,77,78,91,83,86])).
% 135.27/135.34 cnf(3592,plain,
% 135.27/135.34 (P5(f9(f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[72,1400,209,325,620,3353,2937,570,3162,1123,3315,3425,862,216,821,69,270,348,871,3138,1246,910,3037,2,18,3,64,54,94,53,137,171,41,43,16,17,31,7,48,27,20,32,49,13,47,5,26,42,39,24,36,33,12,19,38,14,46,21,22,4,10,37,35,6,15,44,28,23,51,8,25,40,11,9,89,29,30,34,50,84,82,79,90,77,78,91,83,86,88,75,76])).
% 135.27/135.34 cnf(3602,plain,
% 135.27/135.34 (E(f24(a1,a29),f25(a1,a1))),
% 135.27/135.34 inference(scs_inference,[],[871,2])).
% 135.27/135.34 cnf(3603,plain,
% 135.27/135.34 (P7(f9(f25(a1,a3)),a4)),
% 135.27/135.34 inference(scs_inference,[],[871,3586,2,80])).
% 135.27/135.34 cnf(3605,plain,
% 135.27/135.34 (~P3(f25(f25(a1,a1),a1),f25(f23(a3),f23(a3)))),
% 135.27/135.34 inference(scs_inference,[],[3512,871,1246,3586,2,80,64])).
% 135.27/135.34 cnf(3609,plain,
% 135.27/135.34 (~E(f13(f9(f25(a1,a3)),f25(a1,a3)),a1)),
% 135.27/135.34 inference(scs_inference,[],[3427,3512,871,821,740,303,572,1246,3586,2,80,64,3,65,118])).
% 135.27/135.34 cnf(3611,plain,
% 135.27/135.34 (P1(f6(f9(f25(a1,a3)),f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[3427,3512,871,821,740,303,572,1246,3586,3592,2,80,64,3,65,118,138])).
% 135.27/135.34 cnf(3617,plain,
% 135.27/135.34 (E(f9(a3),f9(f25(a1,a3)))),
% 135.27/135.34 inference(scs_inference,[],[392,394,293,3427,3512,871,821,740,68,303,3138,572,1246,1247,3144,3586,3592,2,80,64,3,65,118,138,173,45,52])).
% 135.27/135.34 cnf(3636,plain,
% 135.27/135.34 (E(f31(f25(a1,a3),x36361),f31(a3,x36361))),
% 135.27/135.34 inference(rename_variables,[],[2094])).
% 135.27/135.34 cnf(3637,plain,
% 135.27/135.34 (P2(a3,f9(f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[210,328,3609,2094,3520,3617,2,387,58,55])).
% 135.27/135.35 cnf(3643,plain,
% 135.27/135.35 (~E(f6(f9(f25(a1,a3)),f25(a1,a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[873,210,620,328,3427,3165,3609,224,740,2094,2119,3592,3520,3603,3617,2,387,58,55,3,94,53,136])).
% 135.27/135.35 cnf(3648,plain,
% 135.27/135.35 (P3(x36481,f25(a29,f23(a29)))+~E(f13(f9(a3),a3),x36481)),
% 135.27/135.35 inference(scs_inference,[],[209,873,872,210,620,328,3427,3170,3165,3609,224,740,2094,3636,417,2119,3592,3520,3603,3617,2,387,58,55,3,94,53,136,173,64])).
% 135.27/135.35 cnf(3661,plain,
% 135.27/135.35 (~E(f13(f9(f25(a1,a3)),a3),a1)),
% 135.27/135.35 inference(scs_inference,[],[3609,3315,283,270,303,2091,2,19,64,3])).
% 135.27/135.35 cnf(3668,plain,
% 135.27/135.35 (P10(a3,a3,f6(f9(f25(a1,a3)),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[209,954,3609,3315,3611,3643,216,283,740,270,303,2378,2091,3379,2,19,64,3,94,53,61,131])).
% 135.27/135.35 cnf(3690,plain,
% 135.27/135.35 (~P3(f25(f25(a1,a1),f25(a1,a1)),f25(f23(a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3643,3605,1264,2,64])).
% 135.27/135.35 cnf(3704,plain,
% 135.27/135.35 (E(f6(x37041,a3),f6(x37041,f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[209,873,872,3162,3481,3643,3605,1219,303,3138,1275,1264,2,64,3,177,17,43,27,48,16,41,49,32,12,46])).
% 135.27/135.35 cnf(3726,plain,
% 135.27/135.35 (E(f31(a1,x37261),f31(f24(a1,a29),x37261))),
% 135.27/135.35 inference(scs_inference,[],[209,873,872,3162,3481,3643,3605,1219,303,3138,1275,1264,2,64,3,177,17,43,27,48,16,41,49,32,12,46,33,37,4,13,7,47,44,31,20,22,39,21,5,10,42,15,40,26,11,6,24,14])).
% 135.27/135.35 cnf(3767,plain,
% 135.27/135.35 (E(f24(f24(a1,a29),x37671),f24(f24(a1,a3),x37671))),
% 135.27/135.35 inference(scs_inference,[],[1662,2])).
% 135.27/135.35 cnf(3770,plain,
% 135.27/135.35 (P3(f6(f9(a3),f25(a1,a3)),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3210,3513,1662,268,3704,2,55,64])).
% 135.27/135.35 cnf(3774,plain,
% 135.27/135.35 (P2(f25(a1,a3),f27(f9(a3),f9(a3)))),
% 135.27/135.35 inference(scs_inference,[],[873,925,3210,3513,740,1219,3138,1662,572,268,3704,2,55,64,3,65,54])).
% 135.27/135.35 cnf(3781,plain,
% 135.27/135.35 (P2(f25(a1,a3),f31(a3,f6(f9(a3),a3)))),
% 135.27/135.35 inference(scs_inference,[],[873,872,326,3162,925,3481,3210,3668,3513,224,740,1219,3138,1662,572,268,1223,2100,3726,3704,2,55,64,3,65,54,94,56,63,170])).
% 135.27/135.35 cnf(3788,plain,
% 135.27/135.35 (E(f13(x37881,a3),f13(x37881,f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[873,872,326,3162,925,3481,3210,3668,3513,224,740,1219,3138,1662,572,1275,268,878,1223,2100,3726,3704,2,55,64,3,65,54,94,56,63,170,45,52,58,142,19])).
% 135.27/135.35 cnf(3796,plain,
% 135.27/135.35 (P3(f13(f9(a3),f25(a1,a3)),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3661,3788,2,3042])).
% 135.27/135.35 cnf(3797,plain,
% 135.27/135.35 (E(f13(x37971,a3),f13(x37971,f25(a1,a3)))),
% 135.27/135.35 inference(rename_variables,[],[3788])).
% 135.27/135.35 cnf(3801,plain,
% 135.27/135.35 (~E(f6(f9(a3),f25(a1,a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[873,3315,3661,720,3704,3788,3797,2,3042,3648,64,3])).
% 135.27/135.35 cnf(3802,plain,
% 135.27/135.35 (E(f6(x38021,a3),f6(x38021,f25(a1,a3)))),
% 135.27/135.35 inference(rename_variables,[],[3704])).
% 135.27/135.35 cnf(3803,plain,
% 135.27/135.35 (~P3(f24(f24(a1,a29),a29),f25(a1,a1))),
% 135.27/135.35 inference(scs_inference,[],[873,3315,3661,871,720,351,3704,3788,3797,2,3042,3648,64,3,65])).
% 135.27/135.35 cnf(3810,plain,
% 135.27/135.35 (~P2(f11(f6(f9(a3),f25(a1,a3))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[209,873,3427,3315,3357,3661,3035,871,720,1219,351,3586,3704,3802,3788,3797,2,3042,3648,64,3,65,54,94,121,113])).
% 135.27/135.35 cnf(3816,plain,
% 135.27/135.35 (P2(a3,f31(a3,f6(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[209,873,3427,3315,3357,3770,3661,3035,871,720,1219,864,351,3586,3520,3704,3802,3788,3797,2,3042,3648,64,3,65,54,94,121,113,98,131,164])).
% 135.27/135.35 cnf(3822,plain,
% 135.27/135.35 (~E(f6(f9(f25(a1,a3)),a3),a1)),
% 135.27/135.35 inference(scs_inference,[],[209,873,392,394,3162,3427,3315,419,3293,3357,3770,3661,3637,3035,871,720,1219,3138,864,3592,351,3586,3520,3704,3802,3603,3788,3797,2,3042,3648,64,3,65,54,94,121,113,98,131,164,177,18,55,136])).
% 135.27/135.35 cnf(3824,plain,
% 135.27/135.35 (P10(a3,a3,f6(f9(a3),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[209,873,392,394,3162,3427,3315,419,3293,3357,3770,3661,3637,3035,871,720,1219,3138,864,3592,351,3586,3520,3704,3802,3603,3788,3797,2,3042,3648,64,3,65,54,94,121,113,98,131,164,177,18,55,136,160])).
% 135.27/135.35 cnf(3830,plain,
% 135.27/135.35 (E(f31(a3,x38301),f31(f25(a1,a3),x38301))),
% 135.27/135.35 inference(scs_inference,[],[2094,2])).
% 135.27/135.35 cnf(3833,plain,
% 135.27/135.35 (~P3(f24(f24(a1,a29),f24(a1,a3)),f25(f23(a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3296,3207,3138,2094,3767,2,4,55,64])).
% 135.27/135.35 cnf(3839,plain,
% 135.27/135.35 (P1(f13(f9(a3),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[72,392,3296,3770,3810,3207,224,3138,270,2094,718,3788,3767,2,4,55,64,3,65,54,53])).
% 135.27/135.35 cnf(3843,plain,
% 135.27/135.35 (P3(f6(f9(a3),a3),f25(f25(a1,a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[72,873,872,392,3357,3296,3770,3810,3207,3801,3816,3781,224,3138,270,2094,718,3788,3767,2,4,55,64,3,65,54,53,142,155])).
% 135.27/135.35 cnf(3846,plain,
% 135.27/135.35 (P4(f31(a3,f6(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[72,873,872,392,3357,3296,3770,3810,3207,3801,3816,3781,224,3138,270,2094,2604,718,3788,3767,2,4,55,64,3,65,54,53,142,155,59,99])).
% 135.27/135.35 cnf(3848,plain,
% 135.27/135.35 (~P7(f31(a3,f6(f9(a3),f25(a1,a3))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[72,873,872,392,3357,3296,3770,3810,3207,3801,3816,3781,224,3138,270,2094,2604,718,3788,3767,2,4,55,64,3,65,54,53,142,155,59,99,134])).
% 135.27/135.35 cnf(3869,plain,
% 135.27/135.35 (E(f31(a3,x38691),f31(f25(a1,a3),x38691))),
% 135.27/135.35 inference(rename_variables,[],[3830])).
% 135.27/135.35 cnf(3870,plain,
% 135.27/135.35 (P7(f31(f25(a1,a3),f6(f9(a3),a3)),f9(a3))),
% 135.27/135.35 inference(scs_inference,[],[3801,3816,878,3830,3869,2,55,58])).
% 135.27/135.35 cnf(3880,plain,
% 135.27/135.35 (P10(f25(a1,a3),a3,f6(f9(f25(a1,a3)),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[3801,2219,3668,3816,3843,1219,3138,1662,572,2094,878,3704,2093,3830,3869,2,55,58,64,3,65,54,61])).
% 135.27/135.35 cnf(3885,plain,
% 135.27/135.35 (E(f25(a3,x38851),f25(f25(a1,a3),x38851))),
% 135.27/135.35 inference(scs_inference,[],[781,3801,2219,3668,3816,3843,1219,3138,1662,572,2094,1275,878,3788,3704,2093,3830,3869,2,55,58,64,3,65,54,61,63,41,48,16])).
% 135.27/135.35 cnf(3886,plain,
% 135.27/135.35 (E(f25(x38861,a3),f25(x38861,f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[781,3801,2219,3668,3816,3843,1219,3138,1662,572,2094,1275,878,3788,3704,2093,3830,3869,2,55,58,64,3,65,54,61,63,41,48,16,17])).
% 135.27/135.35 cnf(3888,plain,
% 135.27/135.35 (E(f24(f24(a1,a1),x38881),f24(f24(a1,a29),x38881))),
% 135.27/135.35 inference(scs_inference,[],[781,3801,2219,3668,3816,3843,1219,3138,1662,572,2094,1275,878,3788,3704,2093,3830,3869,2,55,58,64,3,65,54,61,63,41,48,16,17,47,12])).
% 135.27/135.35 cnf(3931,plain,
% 135.27/135.35 (P1(f23(f24(a29,a29)))),
% 135.27/135.35 inference(scs_inference,[],[1392,326,714,781,3801,2219,3668,3816,3843,1219,3138,1662,572,2094,1275,878,1154,3788,3704,2093,3830,3869,2,55,58,64,3,65,54,61,63,41,48,16,17,47,12,44,43,32,46,13,39,7,40,37,42,27,49,22,14,38,21,15,10,33,5,23,31,20,51,24,8,28,11,36,6,26,35,9,34,29,50,25,30,387,79,77])).
% 135.27/135.35 cnf(3942,plain,
% 135.27/135.35 (E(f25(a1,x39421),f25(f25(a1,a1),x39421))),
% 135.27/135.35 inference(scs_inference,[],[1246,2])).
% 135.27/135.35 cnf(3944,plain,
% 135.27/135.35 (~E(f13(f9(a3),f25(a1,a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[394,3315,821,1246,3788,2,64,3])).
% 135.27/135.35 cnf(3945,plain,
% 135.27/135.35 (E(f13(x39451,a3),f13(x39451,f25(a1,a3)))),
% 135.27/135.35 inference(rename_variables,[],[3788])).
% 135.27/135.35 cnf(3950,plain,
% 135.27/135.35 (P1(f6(f9(f25(a1,a3)),a3))),
% 135.27/135.35 inference(scs_inference,[],[394,3315,3637,3195,821,270,1246,3592,3788,3945,1295,3603,2,64,3,65,54,138])).
% 135.27/135.35 cnf(3952,plain,
% 135.27/135.35 (P2(a3,f31(a3,f13(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[209,394,3315,3637,3796,3839,3195,821,270,1246,3592,3788,3945,1295,3603,2,64,3,65,54,138,164])).
% 135.27/135.35 cnf(3958,plain,
% 135.27/135.35 (P1(f13(f9(f25(a1,a3)),a3))),
% 135.27/135.35 inference(scs_inference,[],[209,394,3315,3637,3796,3839,3195,218,821,1275,270,1246,1154,3592,3788,3945,3586,1295,3603,2,64,3,65,54,138,164,45,52,19,55,121])).
% 135.27/135.35 cnf(3960,plain,
% 135.27/135.35 (P10(f13(f9(a3),f25(a1,a3)),f13(f9(a3),f25(a1,a3)),f13(f9(a3),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[209,394,3315,3637,3796,3839,3195,218,821,1275,270,1246,1154,3592,3788,3945,3586,1295,3603,2,64,3,65,54,138,164,45,52,19,55,121,131])).
% 135.27/135.35 cnf(3974,plain,
% 135.27/135.35 (~P3(f25(a1,f25(a1,a1)),f25(f23(a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3690,3944,3942,2,64])).
% 135.27/135.35 cnf(3978,plain,
% 135.27/135.35 (E(f25(f25(a1,a1),a1),a1)),
% 135.27/135.35 inference(scs_inference,[],[3848,3690,3944,216,2094,1246,3942,2,64,58,3])).
% 135.27/135.35 cnf(3980,plain,
% 135.27/135.35 (P3(f13(f9(a3),f25(a1,a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[3848,3796,3690,3944,216,2094,1246,718,3942,2,64,58,3,65])).
% 135.27/135.35 cnf(3985,plain,
% 135.27/135.35 (P3(f6(f9(f25(a1,a3)),f25(a1,a3)),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[3848,209,714,3668,3643,3611,3839,3796,3690,3944,3952,224,216,2094,1246,718,3942,2,64,58,3,65,94,142,176])).
% 135.27/135.35 cnf(4002,plain,
% 135.27/135.35 (P2(a3,f31(f25(a1,a3),f13(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[2451,3952,2267,3830,2,387,55])).
% 135.27/135.35 cnf(4003,plain,
% 135.27/135.35 (E(f31(a3,x40031),f31(f25(a1,a3),x40031))),
% 135.27/135.35 inference(rename_variables,[],[3830])).
% 135.27/135.35 cnf(4004,plain,
% 135.27/135.35 (P3(f13(f9(a3),f25(a1,a3)),f25(a1,a1))),
% 135.27/135.35 inference(scs_inference,[],[2451,3952,934,2267,3788,3830,2,387,55,64])).
% 135.27/135.35 cnf(4006,plain,
% 135.27/135.35 (P7(f31(f25(a1,a3),f13(f9(a3),a3)),f9(a3))),
% 135.27/135.35 inference(scs_inference,[],[2451,3952,934,2267,3788,3830,4003,390,2,387,55,64,58])).
% 135.27/135.35 cnf(4038,plain,
% 135.27/135.35 (P2(f25(f25(a1,a1),a3),f9(a3))),
% 135.27/135.35 inference(scs_inference,[],[3353,3315,3822,740,1246,3788,868,908,3942,2,64,3,65,54])).
% 135.27/135.35 cnf(4042,plain,
% 135.27/135.35 (P4(f31(a3,f13(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,3822,740,1246,3788,868,908,3942,3885,2,64,3,65,54,53,99])).
% 135.27/135.35 cnf(4052,plain,
% 135.27/135.35 (E(f25(f24(a1,a1),x40521),f25(f24(a1,a29),x40521))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16])).
% 135.27/135.35 cnf(4054,plain,
% 135.27/135.35 (E(f14(f24(a1,a29),x40541),f14(f24(a1,a1),x40541))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43])).
% 135.27/135.35 cnf(4055,plain,
% 135.27/135.35 (E(f19(x40551,x40552,f24(a1,a1)),f19(x40551,x40552,f24(a1,a29)))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7])).
% 135.27/135.35 cnf(4072,plain,
% 135.27/135.35 (E(f31(f24(a1,a29),x40721),f31(f24(a1,a1),x40721))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14])).
% 135.27/135.35 cnf(4075,plain,
% 135.27/135.35 (E(f19(f24(a1,a1),x40751,x40752),f19(f24(a1,a29),x40751,x40752))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5])).
% 135.27/135.35 cnf(4087,plain,
% 135.27/135.35 (E(f19(x40871,f24(a1,a1),x40872),f19(x40871,f24(a1,a29),x40872))),
% 135.27/135.35 inference(scs_inference,[],[618,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6])).
% 135.27/135.35 cnf(4094,plain,
% 135.27/135.35 (P1(f23(f25(a1,a1)))),
% 135.27/135.35 inference(scs_inference,[],[618,326,293,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6,26,34,30,25,79,77])).
% 135.27/135.35 cnf(4096,plain,
% 135.27/135.35 (E(f24(a1,f25(a1,a1)),a1)),
% 135.27/135.35 inference(scs_inference,[],[618,326,293,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6,26,34,30,25,79,77,78])).
% 135.27/135.35 cnf(4098,plain,
% 135.27/135.35 (P1(f25(f25(a1,a1),a3))),
% 135.27/135.35 inference(scs_inference,[],[618,326,293,3353,3315,3839,3944,4002,3822,862,740,337,1275,386,1246,1154,3788,718,868,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6,26,34,30,25,79,77,78,388])).
% 135.27/135.35 cnf(4102,plain,
% 135.27/135.35 (~P7(f31(a3,f13(f9(a3),f25(a1,a3))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[618,326,293,3353,3315,3839,3944,4002,3822,862,216,740,337,1275,386,1246,1154,3788,718,868,2831,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6,26,34,30,25,79,77,78,388,55,61,134])).
% 135.27/135.35 cnf(4104,plain,
% 135.27/135.35 (~P2(f11(f13(f9(a3),f25(a1,a3))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[618,326,293,3353,3315,3839,3944,4002,3822,862,216,740,337,1275,386,1246,1154,3788,718,868,2831,908,3942,3885,2,64,3,65,54,53,99,125,196,41,44,48,47,16,39,43,7,27,17,13,32,12,23,21,42,46,40,20,22,49,15,31,24,14,37,33,5,8,38,36,10,35,9,51,28,29,50,11,6,26,34,30,25,79,77,78,388,55,61,134,113])).
% 135.27/135.35 cnf(4121,plain,
% 135.27/135.35 (E(f19(x41211,x41212,f24(a1,a29)),f19(x41211,x41212,f24(a1,a1)))),
% 135.27/135.35 inference(scs_inference,[],[3409,4055,81,83,82,84,2])).
% 135.27/135.35 cnf(4126,plain,
% 135.27/135.35 (~E(f13(f9(a3),f25(f25(a1,a1),a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[3409,4038,4055,337,81,83,82,84,2,110,111,118])).
% 135.27/135.35 cnf(4128,plain,
% 135.27/135.35 (P1(f13(f9(a3),f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[3409,4038,4055,337,81,83,82,84,2,110,111,118,121])).
% 135.27/135.35 cnf(4137,plain,
% 135.27/135.35 (E(f19(x41371,x41372,f24(a1,a1)),f19(x41371,x41372,f24(a1,a29)))),
% 135.27/135.35 inference(rename_variables,[],[4055])).
% 135.27/135.35 cnf(4139,plain,
% 135.27/135.35 (P7(f31(f25(a1,a3),f13(f9(a3),a3)),f9(f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[72,3409,3985,3824,4104,4038,4055,4075,4096,3183,4006,3885,3617,337,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59])).
% 135.27/135.35 cnf(4150,plain,
% 135.27/135.35 (~E(f6(f9(a3),f25(f25(a1,a1),a3)),a1)),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3353,228,4055,4075,4096,3183,3096,4006,3885,3617,2515,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136])).
% 135.27/135.35 cnf(4152,plain,
% 135.27/135.35 (P1(f6(f9(a3),f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3353,228,4055,4075,4096,3183,3096,4006,3885,3617,2515,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138])).
% 135.27/135.35 cnf(4156,plain,
% 135.27/135.35 (P3(f13(f9(f25(a1,a3)),a3),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3353,228,4055,4075,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043])).
% 135.27/135.35 cnf(4158,plain,
% 135.27/135.35 (P3(f6(f9(f25(a1,a3)),a3),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3353,228,4055,4075,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305])).
% 135.27/135.35 cnf(4159,plain,
% 135.27/135.35 (P3(f13(f9(f25(a1,a3)),a3),f25(f25(a1,a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3353,228,4055,4075,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502])).
% 135.27/135.35 cnf(4160,plain,
% 135.27/135.35 (E(f13(x41601,f24(a1,a29)),f13(x41601,f25(a1,a1)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3353,228,4055,4075,3602,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502,19])).
% 135.27/135.35 cnf(4166,plain,
% 135.27/135.35 (~E(f24(f13(f9(a3),f25(a1,a3)),f13(f9(a3),f25(a1,a3))),a1)),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3944,3839,3353,228,4055,4137,4075,3602,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502,19,4,52,45,66,55,102])).
% 135.27/135.35 cnf(4168,plain,
% 135.27/135.35 (P2(f25(f25(a1,a1),a3),f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3944,3839,3353,228,4055,4137,4075,3602,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502,19,4,52,45,66,55,102,115])).
% 135.27/135.35 cnf(4170,plain,
% 135.27/135.35 (P2(f9(f25(f25(a1,a1),a3)),a30)),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3944,3839,3353,228,4055,4137,4075,3602,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502,19,4,52,45,66,55,102,115,114])).
% 135.27/135.35 cnf(4172,plain,
% 135.27/135.35 (P6(f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4102,72,3409,3974,3985,3824,4098,4104,4038,4002,3637,3944,3839,3353,228,4055,4137,4075,3602,4096,3183,3096,4006,3885,3617,2515,3603,348,337,862,81,83,82,84,2,110,111,118,121,61,94,54,65,3,59,58,64,192,127,191,136,138,137,3043,3044,3305,3502,19,4,52,45,66,55,102,115,114,86])).
% 135.27/135.35 cnf(4180,plain,
% 135.27/135.35 (P7(f9(f25(f25(a1,a1),a3)),a4)),
% 135.27/135.35 inference(scs_inference,[],[4172,80])).
% 135.27/135.35 cnf(4183,plain,
% 135.27/135.35 (E(f24(f13(f9(a3),f25(a1,a3)),f14(f25(a1,a1),f13(f9(a3),f25(a1,a3)))),f25(a1,a1))),
% 135.27/135.35 inference(scs_inference,[],[4166,293,4172,4004,80,2,132])).
% 135.27/135.35 cnf(4189,plain,
% 135.27/135.35 (~P7(f31(a3,f13(f9(f25(a1,a3)),a3)),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[4168,3958,4166,3661,3637,293,4172,4004,3586,80,2,132,162,153,134])).
% 135.27/135.35 cnf(4192,plain,
% 135.27/135.35 (~P3(f25(f25(a1,a1),a1),f23(f24(a29,a29)))),
% 135.27/135.35 inference(scs_inference,[],[4168,3931,3958,4166,3661,3637,293,3978,4172,4004,3586,208,80,2,132,162,153,134,57,94])).
% 135.27/135.35 cnf(4194,plain,
% 135.27/135.35 (P2(f25(f24(a1,a29),a3),f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4168,3931,3958,4166,3661,3637,293,3524,3978,4172,4004,3586,208,80,2,132,162,153,134,57,94,54])).
% 135.27/135.35 cnf(4201,plain,
% 135.27/135.35 (P7(f31(f25(a1,a3),f6(f9(a3),a3)),f9(f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[4168,3931,3958,4166,3661,3637,293,4121,4087,4052,3524,3978,4172,2767,3870,4004,3586,208,3617,80,2,132,162,153,134,57,94,54,65,3,59])).
% 135.27/135.35 cnf(4206,plain,
% 135.27/135.35 (E(f24(f13(f9(a3),f25(a1,a3)),f12(f13(f9(a3),f25(a1,a3)),a3)),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[4168,3931,3958,4156,4166,3661,3952,3637,3944,3839,293,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163])).
% 135.27/135.35 cnf(4214,plain,
% 135.27/135.35 (P2(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),f31(a3,f13(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,3958,4156,4166,3661,3952,3637,3944,3839,1155,293,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128])).
% 135.27/135.35 cnf(4218,plain,
% 135.27/135.35 (P7(f31(a3,f6(f9(f25(a1,a3)),a3)),f9(f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,3958,4156,4166,3661,3952,3637,3944,3839,1155,293,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,3592,3603,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171])).
% 135.27/135.35 cnf(4224,plain,
% 135.27/135.35 (P5(f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,3958,4156,4166,3661,3952,3637,3944,3839,1155,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,3592,3603,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76])).
% 135.27/135.35 cnf(4236,plain,
% 135.27/135.35 (E(f13(f24(f13(f9(a3),a3),f15(f9(a3),a3,a3)),x42361),f13(f25(a3,f23(a3)),x42361))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4166,3661,3952,3637,3944,3839,1155,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,3592,3603,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18])).
% 135.27/135.35 cnf(4238,plain,
% 135.27/135.35 (P2(f11(f13(f9(a3),f25(f25(a1,a1),a3))),f31(a3,f13(f9(a3),f25(f25(a1,a1),a3))))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4128,4166,4126,3661,3952,3637,3944,3839,1155,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,3592,3603,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117])).
% 135.27/135.35 cnf(4246,plain,
% 135.27/135.35 (P2(f25(f24(a1,a29),a3),a4)),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4128,4166,4126,3661,3952,3637,3944,3839,1155,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,3586,3592,3603,208,3788,3617,2094,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107])).
% 135.27/135.35 cnf(4254,plain,
% 135.27/135.35 (P1(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133])).
% 135.27/135.35 cnf(4256,plain,
% 135.27/135.35 (P10(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),a3,f13(f9(a3),f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133,160])).
% 135.27/135.35 cnf(4258,plain,
% 135.27/135.35 (~P2(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133,160,141])).
% 135.27/135.35 cnf(4260,plain,
% 135.27/135.35 (~P2(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4170,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133,160,141,127])).
% 135.27/135.35 cnf(4264,plain,
% 135.27/135.35 (~P7(f31(a3,f13(f9(a3),f25(a1,a3))),f9(f25(f25(a1,a1),a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4170,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133,160,141,127,155,125])).
% 135.27/135.35 cnf(4270,plain,
% 135.27/135.35 (P2(a3,f31(a3,f13(f9(f25(a1,a3)),a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,4042,4168,4170,4102,3931,2969,3958,4156,4128,4166,3880,4126,3661,3952,4002,3637,3944,3839,1155,3353,293,209,3960,4121,4087,4052,3524,3978,4172,4139,2767,3870,4004,2100,3586,3592,3603,208,3788,3617,2094,337,80,2,132,162,153,134,57,94,54,65,3,59,58,64,163,143,165,144,128,166,171,131,176,76,75,88,90,89,91,18,67,117,111,110,118,107,120,63,202,133,160,141,127,155,125,142,138,190])).
% 135.27/135.35 cnf(4277,plain,
% 135.27/135.35 (E(f25(a3,f23(a3)),f24(f13(f9(a3),f25(a1,a3)),f12(f13(f9(a3),f25(a1,a3)),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4206,2])).
% 135.27/135.35 cnf(4299,plain,
% 135.27/135.35 (P2(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),f9(a3))),
% 135.27/135.35 inference(scs_inference,[],[4260,4189,4206,4214,4238,4150,2042,4128,4126,3637,3296,291,210,4192,4054,3271,2672,4264,4270,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125])).
% 135.27/135.35 cnf(4303,plain,
% 135.27/135.35 (~E(f24(f6(f9(a3),f25(f25(a1,a1),a3)),f6(f9(a3),f25(f25(a1,a1),a3))),a1)),
% 135.27/135.35 inference(scs_inference,[],[4260,4189,4168,4206,4214,4238,4152,4150,2042,4128,4126,3637,3296,291,210,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102])).
% 135.27/135.35 cnf(4316,plain,
% 135.27/135.35 (~P2(f17(f2(a30),f31(a3,f6(f9(a3),f25(a1,a3)))),f2(a30))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4214,4238,4152,4150,2042,4128,4126,3637,3296,291,210,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141])).
% 135.27/135.35 cnf(4318,plain,
% 135.27/135.35 (E(f24(f6(f9(a3),a3),f12(f6(f9(a3),a3),f25(a1,a3))),f25(f25(a1,a3),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4214,4238,4152,4150,2042,3781,4128,4126,3637,3296,291,210,872,873,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141,163])).
% 135.27/135.35 cnf(4320,plain,
% 135.27/135.35 (P3(f13(f9(a3),f25(a1,a3)),f25(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4214,4238,4152,4150,2042,3781,4128,4126,3637,3296,3944,3839,291,210,872,873,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141,163,155])).
% 135.27/135.35 cnf(4322,plain,
% 135.27/135.35 (P2(f17(f2(a30),f31(a3,f6(f9(a3),f25(a1,a3)))),f31(a3,f6(f9(a3),f25(a1,a3))))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4214,4238,4152,4150,2042,3781,4128,4126,3637,3296,3944,3839,291,210,872,873,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,864,337,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141,163,155,128])).
% 135.27/135.35 cnf(4324,plain,
% 135.27/135.35 (P7(f31(f25(f25(a1,a1),a3),f6(f9(a3),f25(f25(a1,a1),a3))),f9(a3))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4214,4238,4152,4150,2042,3781,4128,4126,4038,3637,3296,3944,3839,291,210,872,873,4192,4054,3271,2672,4264,4224,4270,4180,3489,913,2515,3586,348,864,337,862,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141,163,155,128,171])).
% 135.27/135.35 cnf(4330,plain,
% 135.27/135.35 (P4(f31(f24(f23(a1),a1),f6(f9(a3),f25(f25(a1,a1),a3))))),
% 135.27/135.35 inference(scs_inference,[],[71,3846,4260,4189,3848,4168,4094,4206,4254,4214,4238,4152,4150,2042,3781,3958,4128,4126,3661,4038,3637,3296,3944,3839,291,210,872,873,4192,4054,3271,2672,4264,4224,2890,4270,4180,3489,913,2515,3586,348,864,68,337,862,2,54,65,3,59,58,55,64,165,144,202,133,192,160,125,136,102,157,52,132,166,143,196,141,163,155,128,171,142,124,109])).
% 135.27/135.35 cnf(4347,plain,
% 135.27/135.35 (E(f24(f6(f9(a3),a3),f12(f6(f9(a3),a3),f25(a1,a3))),f25(a3,f23(a3)))),
% 135.27/135.35 inference(scs_inference,[],[4260,4168,4318,4158,4303,4277,4201,4218,2092,2111,2094,52,2,54,65,58,59,3])).
% 135.27/135.35 cnf(4365,plain,
% 135.27/135.35 (P7(f31(f25(a1,a3),f6(f9(f25(a1,a3)),f25(a1,a3))),f9(f25(a1,a3)))),
% 135.27/135.35 inference(scs_inference,[],[4260,4168,4318,3833,4158,4322,4303,3513,787,3801,3427,3357,1775,394,392,3888,4277,4201,4218,4072,2092,2111,3592,3603,2094,52,2,54,65,58,59,3,55,64,166,165,143,133,163,144,171])).
% 135.27/135.35 cnf(4429,plain,
% 135.27/135.35 (P2(f17(f2(a30),f31(a3,f13(f9(a3),f25(a1,a3)))),a4)),
% 135.27/135.35 inference(scs_inference,[],[4260,4168,2959,4318,3774,3833,4158,4322,4194,4299,4303,4246,4159,3513,4254,787,3958,3661,3801,3427,3357,1775,3162,394,392,209,3888,4277,4201,4218,4324,4072,2092,2111,3592,3603,4172,2094,864,337,862,52,2,54,65,58,59,3,55,64,166,165,143,133,163,144,171,175,168,388,77,78,79,25,30,29,6,28,11,34,50,26,36,35,9,8,15,40,20,33,51,24,10,38,49,21,23,37,31,46,42,5,22,14,27,17,47,16,32,7,12,13,48,43,39,44,41,162,153,98,107])).
% 135.27/135.35 cnf(4433,plain,
% 135.27/135.35 (P4(f31(a3,f6(f9(f25(a1,a3)),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4260,4168,2959,4318,3774,3833,4158,3950,4322,4194,4299,4303,4246,4159,3513,4254,3822,787,3958,3661,3801,3427,3357,1775,3162,394,392,209,3888,4277,4201,4218,4324,4072,2092,2111,3592,3603,4172,2094,864,337,862,52,2,54,65,58,59,3,55,64,166,165,143,133,163,144,171,175,168,388,77,78,79,25,30,29,6,28,11,34,50,26,36,35,9,8,15,40,20,33,51,24,10,38,49,21,23,37,31,46,42,5,22,14,27,17,47,16,32,7,12,13,48,43,39,44,41,162,153,98,107,121,99])).
% 135.27/135.35 cnf(4443,plain,
% 135.27/135.35 (P2(f25(a1,a3),f31(a3,f13(f9(f25(a1,a3)),a3)))),
% 135.27/135.35 inference(scs_inference,[],[4170,4260,4168,2959,4318,3774,3833,4158,3950,4322,4316,4194,4299,4303,4246,4159,3513,4254,3822,787,3958,3661,3801,3427,3637,3357,1775,3162,394,392,1400,209,3888,4277,4330,4201,4218,4324,4072,2890,2092,2111,4180,3592,3603,4172,3586,2094,864,337,862,52,2,54,65,58,59,3,55,64,166,165,143,133,163,144,171,175,168,388,77,78,79,25,30,29,6,28,11,34,50,26,36,35,9,8,15,40,20,33,51,24,10,38,49,21,23,37,31,46,42,5,22,14,27,17,47,16,32,7,12,13,48,43,39,44,41,162,153,98,107,121,99,56,127,131,145,193])).
% 135.27/135.35 cnf(4457,plain,
% 135.27/135.35 (E(f13(x44571,f25(a1,a3)),f13(x44571,a3))),
% 135.27/135.35 inference(rename_variables,[],[2091])).
% 135.27/135.35 cnf(4459,plain,
% 135.27/135.35 (E(f31(a3,x44591),f31(f25(a1,a3),x44591))),
% 135.27/135.35 inference(rename_variables,[],[3830])).
% 135.27/135.35 cnf(4475,plain,
% 135.27/135.35 ($false),
% 135.27/135.35 inference(scs_inference,[],[71,4433,4168,4347,4443,4320,4258,4256,4429,4254,4299,228,4236,4183,4160,3803,4365,3886,3980,2091,4457,3830,4459,2111,2094,68,2,120,63,56,54,65,58,3,59,55,64,125,127]),
% 135.27/135.35 ['proof']).
% 135.27/135.35 % SZS output end Proof
% 135.27/135.35 % Total time :134.510000s
%------------------------------------------------------------------------------