TSTP Solution File: RNG111+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG111+4 : 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 : n003.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 13:48:13 EDT 2023
% Result : Theorem 135.35s 135.48s
% Output : CNFRefutation 135.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:01:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 135.35/135.46 %-------------------------------------------
% 135.35/135.46 % File :CSE---1.6
% 135.35/135.46 % Problem :theBenchmark
% 135.35/135.46 % Transform :cnf
% 135.35/135.46 % Format :tptp:raw
% 135.35/135.46 % Command :java -jar mcs_scs.jar %d %s
% 135.35/135.46
% 135.35/135.46 % Result :Theorem 134.770000s
% 135.35/135.46 % Output :CNFRefutation 134.770000s
% 135.35/135.46 %-------------------------------------------
% 135.35/135.47 %------------------------------------------------------------------------------
% 135.35/135.47 % File : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 135.35/135.47 % Domain : Ring Theory
% 135.35/135.47 % Problem : Chinese remainder theorem in a ring 07_04_01, 03 expansion
% 135.35/135.47 % Version : Especial.
% 135.35/135.47 % English :
% 135.35/135.47
% 135.35/135.47 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 135.35/135.47 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 135.35/135.47 % Source : [Pas08]
% 135.35/135.47 % Names : chines_07_04_01.03 [Pas08]
% 135.35/135.47
% 135.35/135.47 % Status : Theorem
% 135.35/135.47 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.37 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.40 v6.4.0, 0.46 v6.3.0, 0.50 v6.2.0, 0.48 v6.1.0, 0.60 v6.0.0, 0.57 v5.5.0, 0.63 v5.4.0, 0.64 v5.3.0, 0.67 v5.2.0, 0.55 v5.1.0, 0.62 v5.0.0, 0.71 v4.1.0, 0.78 v4.0.1, 0.96 v4.0.0
% 135.35/135.47 % Syntax : Number of formulae : 45 ( 3 unt; 9 def)
% 135.35/135.47 % Number of atoms : 253 ( 62 equ)
% 135.35/135.47 % Maximal formula atoms : 33 ( 5 avg)
% 135.35/135.47 % Number of connectives : 223 ( 15 ~; 9 |; 124 &)
% 135.35/135.47 % ( 17 <=>; 58 =>; 0 <=; 0 <~>)
% 135.35/135.47 % Maximal formula depth : 19 ( 7 avg)
% 135.35/135.47 % Maximal term depth : 3 ( 1 avg)
% 135.35/135.47 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 135.35/135.47 % Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% 135.35/135.47 % Number of variables : 129 ( 90 !; 39 ?)
% 135.35/135.47 % SPC : FOF_THM_RFO_SEQ
% 135.35/135.47
% 135.35/135.47 % Comments : Problem generated by the SAD system [VLP07]
% 135.35/135.47 %------------------------------------------------------------------------------
% 135.35/135.47 fof(mElmSort,axiom,
% 135.35/135.47 ! [W0] :
% 135.35/135.47 ( aElement0(W0)
% 135.35/135.47 => $true ) ).
% 135.35/135.47
% 135.35/135.47 fof(mSortsC,axiom,
% 135.35/135.47 aElement0(sz00) ).
% 135.35/135.47
% 135.35/135.47 fof(mSortsC_01,axiom,
% 135.35/135.47 aElement0(sz10) ).
% 135.35/135.47
% 135.35/135.47 fof(mSortsU,axiom,
% 135.35/135.47 ! [W0] :
% 135.35/135.47 ( aElement0(W0)
% 135.35/135.47 => aElement0(smndt0(W0)) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mSortsB,axiom,
% 135.35/135.47 ! [W0,W1] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1) )
% 135.35/135.47 => aElement0(sdtpldt0(W0,W1)) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mSortsB_02,axiom,
% 135.35/135.47 ! [W0,W1] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1) )
% 135.35/135.47 => aElement0(sdtasdt0(W0,W1)) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mAddComm,axiom,
% 135.35/135.47 ! [W0,W1] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1) )
% 135.35/135.47 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mAddAsso,axiom,
% 135.35/135.47 ! [W0,W1,W2] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1)
% 135.35/135.47 & aElement0(W2) )
% 135.35/135.47 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mAddZero,axiom,
% 135.35/135.47 ! [W0] :
% 135.35/135.47 ( aElement0(W0)
% 135.35/135.47 => ( sdtpldt0(W0,sz00) = W0
% 135.35/135.47 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mAddInvr,axiom,
% 135.35/135.47 ! [W0] :
% 135.35/135.47 ( aElement0(W0)
% 135.35/135.47 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 135.35/135.47 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mMulComm,axiom,
% 135.35/135.47 ! [W0,W1] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1) )
% 135.35/135.47 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mMulAsso,axiom,
% 135.35/135.47 ! [W0,W1,W2] :
% 135.35/135.47 ( ( aElement0(W0)
% 135.35/135.47 & aElement0(W1)
% 135.35/135.47 & aElement0(W2) )
% 135.35/135.47 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 135.35/135.47
% 135.35/135.47 fof(mMulUnit,axiom,
% 135.35/135.47 ! [W0] :
% 135.35/135.47 ( aElement0(W0)
% 135.35/135.47 => ( sdtasdt0(W0,sz10) = W0
% 135.35/135.47 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mAMDistr,axiom,
% 135.35/135.48 ! [W0,W1,W2] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1)
% 135.35/135.48 & aElement0(W2) )
% 135.35/135.48 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 135.35/135.48 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mMulMnOne,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 135.35/135.48 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mMulZero,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 => ( sdtasdt0(W0,sz00) = sz00
% 135.35/135.48 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mCancel,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1) )
% 135.35/135.48 => ( sdtasdt0(W0,W1) = sz00
% 135.35/135.48 => ( W0 = sz00
% 135.35/135.48 | W1 = sz00 ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mUnNeZr,axiom,
% 135.35/135.48 sz10 != sz00 ).
% 135.35/135.48
% 135.35/135.48 fof(mSetSort,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aSet0(W0)
% 135.35/135.48 => $true ) ).
% 135.35/135.48
% 135.35/135.48 fof(mEOfElem,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aSet0(W0)
% 135.35/135.48 => ! [W1] :
% 135.35/135.48 ( aElementOf0(W1,W0)
% 135.35/135.48 => aElement0(W1) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mSetEq,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aSet0(W0)
% 135.35/135.48 & aSet0(W1) )
% 135.35/135.48 => ( ( ! [W2] :
% 135.35/135.48 ( aElementOf0(W2,W0)
% 135.35/135.48 => aElementOf0(W2,W1) )
% 135.35/135.48 & ! [W2] :
% 135.35/135.48 ( aElementOf0(W2,W1)
% 135.35/135.48 => aElementOf0(W2,W0) ) )
% 135.35/135.48 => W0 = W1 ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefSSum,definition,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aSet0(W0)
% 135.35/135.48 & aSet0(W1) )
% 135.35/135.48 => ! [W2] :
% 135.35/135.48 ( W2 = sdtpldt1(W0,W1)
% 135.35/135.48 <=> ( aSet0(W2)
% 135.35/135.48 & ! [W3] :
% 135.35/135.48 ( aElementOf0(W3,W2)
% 135.35/135.48 <=> ? [W4,W5] :
% 135.35/135.48 ( aElementOf0(W4,W0)
% 135.35/135.48 & aElementOf0(W5,W1)
% 135.35/135.48 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefSInt,definition,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aSet0(W0)
% 135.35/135.48 & aSet0(W1) )
% 135.35/135.48 => ! [W2] :
% 135.35/135.48 ( W2 = sdtasasdt0(W0,W1)
% 135.35/135.48 <=> ( aSet0(W2)
% 135.35/135.48 & ! [W3] :
% 135.35/135.48 ( aElementOf0(W3,W2)
% 135.35/135.48 <=> ( aElementOf0(W3,W0)
% 135.35/135.48 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefIdeal,definition,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aIdeal0(W0)
% 135.35/135.48 <=> ( aSet0(W0)
% 135.35/135.48 & ! [W1] :
% 135.35/135.48 ( aElementOf0(W1,W0)
% 135.35/135.48 => ( ! [W2] :
% 135.35/135.48 ( aElementOf0(W2,W0)
% 135.35/135.48 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 135.35/135.48 & ! [W2] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mIdeSum,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aIdeal0(W0)
% 135.35/135.48 & aIdeal0(W1) )
% 135.35/135.48 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mIdeInt,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aIdeal0(W0)
% 135.35/135.48 & aIdeal0(W1) )
% 135.35/135.48 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefMod,definition,
% 135.35/135.48 ! [W0,W1,W2] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1)
% 135.35/135.48 & aIdeal0(W2) )
% 135.35/135.48 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 135.35/135.48 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mChineseRemainder,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aIdeal0(W0)
% 135.35/135.48 & aIdeal0(W1) )
% 135.35/135.48 => ( ! [W2] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 135.35/135.48 => ! [W2,W3] :
% 135.35/135.48 ( ( aElement0(W2)
% 135.35/135.48 & aElement0(W3) )
% 135.35/135.48 => ? [W4] :
% 135.35/135.48 ( aElement0(W4)
% 135.35/135.48 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 135.35/135.48 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mNatSort,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aNaturalNumber0(W0)
% 135.35/135.48 => $true ) ).
% 135.35/135.48
% 135.35/135.48 fof(mEucSort,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & W0 != sz00 )
% 135.35/135.48 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mNatLess,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aNaturalNumber0(W0)
% 135.35/135.48 & aNaturalNumber0(W1) )
% 135.35/135.48 => ( iLess0(W0,W1)
% 135.35/135.48 => $true ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDivision,axiom,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1)
% 135.35/135.48 & W1 != sz00 )
% 135.35/135.48 => ? [W2,W3] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 & aElement0(W3)
% 135.35/135.48 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 135.35/135.48 & ( W3 != sz00
% 135.35/135.48 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefDiv,definition,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1) )
% 135.35/135.48 => ( doDivides0(W0,W1)
% 135.35/135.48 <=> ? [W2] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefDvs,definition,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 => ! [W1] :
% 135.35/135.48 ( aDivisorOf0(W1,W0)
% 135.35/135.48 <=> ( aElement0(W1)
% 135.35/135.48 & doDivides0(W1,W0) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefGCD,definition,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1) )
% 135.35/135.48 => ! [W2] :
% 135.35/135.48 ( aGcdOfAnd0(W2,W0,W1)
% 135.35/135.48 <=> ( aDivisorOf0(W2,W0)
% 135.35/135.48 & aDivisorOf0(W2,W1)
% 135.35/135.48 & ! [W3] :
% 135.35/135.48 ( ( aDivisorOf0(W3,W0)
% 135.35/135.48 & aDivisorOf0(W3,W1) )
% 135.35/135.48 => doDivides0(W3,W2) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefRel,definition,
% 135.35/135.48 ! [W0,W1] :
% 135.35/135.48 ( ( aElement0(W0)
% 135.35/135.48 & aElement0(W1) )
% 135.35/135.48 => ( misRelativelyPrime0(W0,W1)
% 135.35/135.48 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mDefPrIdeal,definition,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 => ! [W1] :
% 135.35/135.48 ( W1 = slsdtgt0(W0)
% 135.35/135.48 <=> ( aSet0(W1)
% 135.35/135.48 & ! [W2] :
% 135.35/135.48 ( aElementOf0(W2,W1)
% 135.35/135.48 <=> ? [W3] :
% 135.35/135.48 ( aElement0(W3)
% 135.35/135.48 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 fof(mPrIdeal,axiom,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 => aIdeal0(slsdtgt0(W0)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2091,hypothesis,
% 135.35/135.48 ( aElement0(xa)
% 135.35/135.48 & aElement0(xb) ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2110,hypothesis,
% 135.35/135.48 ( xa != sz00
% 135.35/135.48 | xb != sz00 ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2129,hypothesis,
% 135.35/135.48 ( aElement0(xc)
% 135.35/135.48 & ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xc,W0) = xa )
% 135.35/135.48 & doDivides0(xc,xa)
% 135.35/135.48 & aDivisorOf0(xc,xa)
% 135.35/135.48 & aElement0(xc)
% 135.35/135.48 & ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xc,W0) = xb )
% 135.35/135.48 & doDivides0(xc,xb)
% 135.35/135.48 & aDivisorOf0(xc,xb)
% 135.35/135.48 & ! [W0] :
% 135.35/135.48 ( ( ( ( aElement0(W0)
% 135.35/135.48 & ( ? [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 & sdtasdt0(W0,W1) = xa )
% 135.35/135.48 | doDivides0(W0,xa) ) )
% 135.35/135.48 | aDivisorOf0(W0,xa) )
% 135.35/135.48 & ( ? [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 & sdtasdt0(W0,W1) = xb )
% 135.35/135.48 | doDivides0(W0,xb)
% 135.35/135.48 | aDivisorOf0(W0,xb) ) )
% 135.35/135.48 => ( ? [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 & sdtasdt0(W0,W1) = xc )
% 135.35/135.48 & doDivides0(W0,xc) ) )
% 135.35/135.48 & aGcdOfAnd0(xc,xa,xb) ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2174,hypothesis,
% 135.35/135.48 ( aSet0(xI)
% 135.35/135.48 & ! [W0] :
% 135.35/135.48 ( aElementOf0(W0,xI)
% 135.35/135.48 => ( ! [W1] :
% 135.35/135.48 ( aElementOf0(W1,xI)
% 135.35/135.48 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 135.35/135.48 & ! [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 135.35/135.48 & aIdeal0(xI)
% 135.35/135.48 & ! [W0] :
% 135.35/135.48 ( aElementOf0(W0,slsdtgt0(xa))
% 135.35/135.48 <=> ? [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 & sdtasdt0(xa,W1) = W0 ) )
% 135.35/135.48 & ! [W0] :
% 135.35/135.48 ( aElementOf0(W0,slsdtgt0(xb))
% 135.35/135.48 <=> ? [W1] :
% 135.35/135.48 ( aElement0(W1)
% 135.35/135.48 & sdtasdt0(xb,W1) = W0 ) )
% 135.35/135.48 & ! [W0] :
% 135.35/135.48 ( aElementOf0(W0,xI)
% 135.35/135.48 <=> ? [W1,W2] :
% 135.35/135.48 ( aElementOf0(W1,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W2,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W1,W2) = W0 ) )
% 135.35/135.48 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2203,hypothesis,
% 135.35/135.48 ( ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xa,W0) = sz00 )
% 135.35/135.48 & aElementOf0(sz00,slsdtgt0(xa))
% 135.35/135.48 & ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xa,W0) = xa )
% 135.35/135.48 & aElementOf0(xa,slsdtgt0(xa))
% 135.35/135.48 & ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xb,W0) = sz00 )
% 135.35/135.48 & aElementOf0(sz00,slsdtgt0(xb))
% 135.35/135.48 & ? [W0] :
% 135.35/135.48 ( aElement0(W0)
% 135.35/135.48 & sdtasdt0(xb,W0) = xb )
% 135.35/135.48 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__2228,hypothesis,
% 135.35/135.48 ? [W0] :
% 135.35/135.48 ( ! [W1] :
% 135.35/135.48 ( aElementOf0(W1,slsdtgt0(xa))
% 135.35/135.48 <=> ? [W2] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 & sdtasdt0(xa,W2) = W1 ) )
% 135.35/135.48 & ! [W1] :
% 135.35/135.48 ( aElementOf0(W1,slsdtgt0(xb))
% 135.35/135.48 <=> ? [W2] :
% 135.35/135.48 ( aElement0(W2)
% 135.35/135.48 & sdtasdt0(xb,W2) = W1 ) )
% 135.35/135.48 & ? [W1,W2] :
% 135.35/135.48 ( aElementOf0(W1,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W2,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W1,W2) = W0 )
% 135.35/135.48 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 135.35/135.48 & W0 != sz00 ) ).
% 135.35/135.48
% 135.35/135.48 fof(m__,conjecture,
% 135.35/135.48 ! [W0] :
% 135.35/135.48 ( ( ? [W1,W2] :
% 135.35/135.48 ( aElementOf0(W1,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W2,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W1,W2) = W0 )
% 135.35/135.48 & aElementOf0(W0,xI)
% 135.35/135.48 & W0 != sz00 )
% 135.35/135.48 => ( ! [W1] :
% 135.35/135.48 ( ( ( ? [W2,W3] :
% 135.35/135.48 ( aElementOf0(W2,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W3,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W2,W3) = W1 )
% 135.35/135.48 | aElementOf0(W1,xI) )
% 135.35/135.48 & W1 != sz00 )
% 135.35/135.48 => ( iLess0(sbrdtbr0(W1),sbrdtbr0(W0))
% 135.35/135.48 => ? [W2] :
% 135.35/135.48 ( ? [W3,W4] :
% 135.35/135.48 ( aElementOf0(W3,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W4,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W3,W4) = W2 )
% 135.35/135.48 & aElementOf0(W2,xI)
% 135.35/135.48 & W2 != sz00
% 135.35/135.48 & ! [W3] :
% 135.35/135.48 ( ( ( ? [W4,W5] :
% 135.35/135.48 ( aElementOf0(W4,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W5,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W4,W5) = W3 )
% 135.35/135.48 | aElementOf0(W3,xI) )
% 135.35/135.48 & W3 != sz00 )
% 135.35/135.48 => ~ iLess0(sbrdtbr0(W3),sbrdtbr0(W2)) ) ) ) )
% 135.35/135.48 => ? [W1] :
% 135.35/135.48 ( ( ? [W2,W3] :
% 135.35/135.48 ( aElementOf0(W2,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W3,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W2,W3) = W1 )
% 135.35/135.48 | aElementOf0(W1,xI) )
% 135.35/135.48 & W1 != sz00
% 135.35/135.48 & ! [W2] :
% 135.35/135.48 ( ( ? [W3,W4] :
% 135.35/135.48 ( aElementOf0(W3,slsdtgt0(xa))
% 135.35/135.48 & aElementOf0(W4,slsdtgt0(xb))
% 135.35/135.48 & sdtpldt0(W3,W4) = W2 )
% 135.35/135.48 & aElementOf0(W2,xI)
% 135.35/135.48 & W2 != sz00 )
% 135.35/135.48 => ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) ) ) ) ).
% 135.35/135.48
% 135.35/135.48 %------------------------------------------------------------------------------
% 135.35/135.48 %-------------------------------------------
% 135.35/135.48 % Proof found
% 135.35/135.48 % SZS status Theorem for theBenchmark
% 135.35/135.48 % SZS output start Proof
% 135.35/135.49 %ClaNum:295(EqnAxiom:96)
% 135.35/135.49 %VarNum:1069(SingletonVarNum:340)
% 135.35/135.49 %MaxLitNum:10
% 135.35/135.49 %MaxfuncDepth:2
% 135.35/135.49 %SharedTerms:73
% 135.35/135.49 %goalClause: 112 119 130 131 137 154 163 176 177 192 198 206 222 229 230 232 233 240 243 244 246 251 256 262 263 264 265 267 273 274 278
% 135.35/135.49 %singleGoalClaCount:5
% 135.35/135.49 [97]P1(a1)
% 135.35/135.49 [98]P1(a54)
% 135.35/135.49 [99]P1(a55)
% 135.35/135.49 [100]P1(a57)
% 135.35/135.49 [102]P1(a58)
% 135.35/135.49 [103]P1(a2)
% 135.35/135.49 [104]P1(a15)
% 135.35/135.49 [105]P1(a16)
% 135.35/135.49 [106]P1(a22)
% 135.35/135.49 [107]P1(a23)
% 135.35/135.49 [108]P1(a25)
% 135.35/135.49 [109]P3(a56)
% 135.35/135.49 [110]P4(a56)
% 135.35/135.49 [119]P5(a33,a56)
% 135.35/135.49 [120]P8(a58,a55)
% 135.35/135.49 [121]P8(a58,a57)
% 135.35/135.49 [122]P2(a58,a55)
% 135.35/135.49 [123]P2(a58,a57)
% 135.35/135.49 [133]P6(a58,a55,a57)
% 135.35/135.49 [135]~E(a1,a54)
% 135.35/135.49 [136]~E(a1,a27)
% 135.35/135.49 [137]~E(a1,a33)
% 135.35/135.49 [111]E(f31(a26,a30),a27)
% 135.35/135.49 [112]E(f31(a32,a34),a33)
% 135.35/135.49 [113]E(f35(a55,a16),a1)
% 135.35/135.49 [114]E(f35(a55,a22),a55)
% 135.35/135.49 [115]E(f35(a57,a23),a1)
% 135.35/135.49 [116]E(f35(a57,a25),a57)
% 135.35/135.49 [117]E(f35(a58,a2),a55)
% 135.35/135.49 [118]E(f35(a58,a15),a57)
% 135.35/135.49 [124]P5(a1,f51(a55))
% 135.35/135.49 [125]P5(a1,f51(a57))
% 135.35/135.49 [126]P5(a55,f51(a55))
% 135.35/135.49 [127]P5(a57,f51(a57))
% 135.35/135.49 [128]P5(a26,f51(a55))
% 135.35/135.49 [129]P5(a30,f51(a57))
% 135.35/135.49 [130]P5(a32,f51(a55))
% 135.35/135.49 [131]P5(a34,f51(a57))
% 135.35/135.49 [132]E(f52(f51(a55),f51(a57)),a56)
% 135.35/135.49 [134]P5(a27,f52(f51(a55),f51(a57)))
% 135.35/135.49 [138]~E(a1,a55)+~E(a1,a57)
% 135.35/135.49 [139]~P4(x1391)+P3(x1391)
% 135.35/135.49 [140]~P1(x1401)+P1(f53(x1401))
% 135.35/135.49 [141]~P1(x1411)+P4(f51(x1411))
% 135.35/135.49 [143]~P1(x1431)+E(f35(a1,x1431),a1)
% 135.35/135.49 [144]~P1(x1441)+E(f35(x1441,a1),a1)
% 135.35/135.49 [146]~P1(x1461)+E(f31(a1,x1461),x1461)
% 135.35/135.49 [147]~P1(x1471)+E(f35(a54,x1471),x1471)
% 135.35/135.49 [148]~P1(x1481)+E(f31(x1481,a1),x1481)
% 135.35/135.49 [149]~P1(x1491)+E(f35(x1491,a54),x1491)
% 135.35/135.49 [158]~P5(x1581,f51(a55))+P1(f17(x1581))
% 135.35/135.49 [159]~P5(x1591,f51(a57))+P1(f19(x1591))
% 135.35/135.49 [160]~P5(x1601,f51(a55))+P1(f28(x1601))
% 135.35/135.49 [161]~P5(x1611,f51(a57))+P1(f29(x1611))
% 135.35/135.49 [169]~P5(x1691,a56)+P5(f20(x1691),f51(a55))
% 135.35/135.49 [170]~P5(x1701,a56)+P5(f21(x1701),f51(a57))
% 135.35/135.49 [150]~P1(x1501)+E(f31(f53(x1501),x1501),a1)
% 135.35/135.49 [151]~P1(x1511)+E(f31(x1511,f53(x1511)),a1)
% 135.35/135.49 [152]~P1(x1521)+E(f35(x1521,f53(a54)),f53(x1521))
% 135.35/135.49 [153]~P1(x1531)+E(f35(f53(a54),x1531),f53(x1531))
% 135.35/135.49 [184]~P5(x1841,f51(a55))+E(f35(a55,f17(x1841)),x1841)
% 135.35/135.49 [185]~P5(x1851,f51(a55))+E(f35(a55,f28(x1851)),x1851)
% 135.35/135.49 [186]~P5(x1861,f51(a57))+E(f35(a57,f19(x1861)),x1861)
% 135.35/135.49 [187]~P5(x1871,f51(a57))+E(f35(a57,f29(x1871)),x1871)
% 135.35/135.49 [188]~P5(x1881,a56)+E(f31(f20(x1881),f21(x1881)),x1881)
% 135.35/135.49 [193]~P8(x1931,a57)+~P2(x1931,a55)+P8(x1931,a58)
% 135.35/135.49 [194]~P2(x1941,a55)+~P2(x1941,a57)+P8(x1941,a58)
% 135.35/135.49 [142]~P1(x1421)+E(x1421,a1)+P7(f36(x1421))
% 135.35/135.49 [154]~P5(x1541,a56)+E(x1541,a1)+~E(f37(x1541),a1)
% 135.35/135.49 [155]~P3(x1551)+P4(x1551)+P5(f42(x1551),x1551)
% 135.35/135.49 [163]~P5(x1631,a56)+E(x1631,a1)+P5(f37(x1631),a56)
% 135.35/135.49 [176]~P5(x1761,a56)+E(x1761,a1)+P5(f43(x1761),f51(a55))
% 135.35/135.49 [177]~P5(x1771,a56)+E(x1771,a1)+P5(f44(x1771),f51(a57))
% 135.35/135.49 [189]~P8(x1891,a57)+~P2(x1891,a55)+P1(f18(x1891))
% 135.35/135.49 [190]~P2(x1901,a55)+~P2(x1901,a57)+P1(f18(x1901))
% 135.35/135.49 [192]~P5(x1921,a56)+E(x1921,a1)+E(f31(f43(x1921),f44(x1921)),f37(x1921))
% 135.35/135.49 [198]~P5(x1981,a56)+E(x1981,a1)+P9(f36(f37(x1981)),f36(x1981))
% 135.35/135.49 [203]~P8(x2031,a57)+~P2(x2031,a55)+E(f35(x2031,f18(x2031)),a58)
% 135.35/135.49 [204]~P2(x2041,a55)+~P2(x2041,a57)+E(f35(x2041,f18(x2041)),a58)
% 135.35/135.49 [156]~P5(x1561,x1562)+P1(x1561)+~P3(x1562)
% 135.35/135.49 [157]~P2(x1571,x1572)+P1(x1571)+~P1(x1572)
% 135.35/135.49 [171]~P1(x1712)+~P2(x1711,x1712)+P8(x1711,x1712)
% 135.35/135.49 [145]~P1(x1452)+P3(x1451)+~E(x1451,f51(x1452))
% 135.35/135.49 [164]~P1(x1642)+~P1(x1641)+E(f31(x1641,x1642),f31(x1642,x1641))
% 135.35/135.49 [165]~P1(x1652)+~P1(x1651)+E(f35(x1651,x1652),f35(x1652,x1651))
% 135.35/135.49 [172]~P1(x1722)+~P1(x1721)+P1(f31(x1721,x1722))
% 135.35/135.49 [173]~P1(x1732)+~P1(x1731)+P1(f35(x1731,x1732))
% 135.35/135.49 [174]~P4(x1742)+~P4(x1741)+P4(f52(x1741,x1742))
% 135.35/135.49 [175]~P4(x1752)+~P4(x1751)+P4(f50(x1751,x1752))
% 135.35/135.49 [179]~P1(x1792)+~E(f35(a55,x1792),x1791)+P5(x1791,f51(a55))
% 135.35/135.49 [181]~P1(x1812)+~E(f35(a57,x1812),x1811)+P5(x1811,f51(a57))
% 135.35/135.49 [207]~P1(x2071)+~P5(x2072,a56)+P5(f35(x2071,x2072),a56)
% 135.35/135.49 [227]~P5(x2271,a56)+~P5(x2272,a56)+P5(f31(x2271,x2272),a56)
% 135.35/135.49 [199]~P1(x1991)+~P8(x1991,a55)+~P8(x1991,a57)+P8(x1991,a58)
% 135.35/135.49 [200]~P1(x2001)+~P8(x2001,a55)+~P2(x2001,a57)+P8(x2001,a58)
% 135.35/135.49 [168]~P3(x1681)+P4(x1681)+P5(f4(x1681),x1681)+P1(f3(x1681))
% 135.35/135.49 [195]~P1(x1951)+~P8(x1951,a55)+~P8(x1951,a57)+P1(f18(x1951))
% 135.35/135.49 [196]~P1(x1961)+~P8(x1961,a55)+~P2(x1961,a57)+P1(f18(x1961))
% 135.35/135.49 [206]~P5(x2061,a56)+E(x2061,a1)+~P9(f36(x2061),f36(a33))+~E(f38(x2061),a1)
% 135.35/135.49 [222]~P5(x2221,a56)+E(x2221,a1)+~P9(f36(x2221),f36(a33))+P5(f38(x2221),a56)
% 135.35/135.49 [229]~P5(x2291,a56)+E(x2291,a1)+P5(f40(x2291),f51(a55))+~P9(f36(x2291),f36(a33))
% 135.35/135.49 [230]~P5(x2301,a56)+E(x2301,a1)+P5(f41(x2301),f51(a57))+~P9(f36(x2301),f36(a33))
% 135.35/135.49 [212]~P1(x2121)+~P8(x2121,a55)+~P8(x2121,a57)+E(f35(x2121,f18(x2121)),a58)
% 135.35/135.49 [213]~P1(x2131)+~P8(x2131,a55)+~P2(x2131,a57)+E(f35(x2131,f18(x2131)),a58)
% 135.35/135.49 [233]~P5(x2331,a56)+E(x2331,a1)+~P9(f36(x2331),f36(a33))+E(f31(f40(x2331),f41(x2331)),f38(x2331))
% 135.35/135.49 [255]~P3(x2551)+P4(x2551)+P1(f3(x2551))+~P5(f31(f42(x2551),f4(x2551)),x2551)
% 135.35/135.49 [259]~P3(x2591)+P4(x2591)+P5(f4(x2591),x2591)+~P5(f35(f3(x2591),f42(x2591)),x2591)
% 135.35/135.49 [275]~P3(x2751)+P4(x2751)+~P5(f31(f42(x2751),f4(x2751)),x2751)+~P5(f35(f3(x2751),f42(x2751)),x2751)
% 135.35/135.49 [191]~P1(x1912)+~P1(x1911)+~P8(x1911,x1912)+P2(x1911,x1912)
% 135.35/135.49 [234]~P1(x2342)+~P1(x2341)+~P10(x2341,x2342)+P6(a54,x2341,x2342)
% 135.35/135.49 [247]~P1(x2472)+~P1(x2471)+P10(x2471,x2472)+~P6(a54,x2471,x2472)
% 135.35/135.49 [182]~P1(x1821)+~P1(x1822)+E(x1821,a1)+P1(f5(x1822,x1821))
% 135.35/135.49 [183]~P1(x1831)+~P1(x1832)+E(x1831,a1)+P1(f8(x1832,x1831))
% 135.35/135.49 [201]~P1(x2012)+~P2(x2011,a55)+P1(f18(x2011))+~E(f35(x2011,x2012),a57)
% 135.35/135.49 [205]~P1(x2052)+~P2(x2051,a55)+P8(x2051,a58)+~E(f35(x2051,x2052),a57)
% 135.35/135.49 [208]~P1(x2082)+~P1(x2081)+~P8(x2081,x2082)+P1(f9(x2081,x2082))
% 135.35/135.49 [217]~P1(x2172)+~P2(x2171,a55)+~E(f35(x2171,x2172),a57)+E(f35(x2171,f18(x2171)),a58)
% 135.35/135.49 [226]~P1(x2262)+~P1(x2261)+~P8(x2261,x2262)+E(f35(x2261,f9(x2261,x2262)),x2262)
% 135.35/135.49 [261]~P1(x2611)+~P1(x2612)+E(x2611,a1)+E(f31(f35(f5(x2612,x2611),x2611),f8(x2612,x2611)),x2612)
% 135.35/135.49 [249]~P1(x2492)+~P6(x2491,x2493,x2492)+P2(x2491,x2492)+~P1(x2493)
% 135.35/135.49 [250]~P1(x2502)+~P6(x2501,x2502,x2503)+P2(x2501,x2502)+~P1(x2503)
% 135.35/135.49 [166]~P3(x1663)+~P3(x1662)+P3(x1661)+~E(x1661,f52(x1662,x1663))
% 135.35/135.49 [167]~P3(x1673)+~P3(x1672)+P3(x1671)+~E(x1671,f50(x1672,x1673))
% 135.35/135.49 [220]~P1(x2201)+~P4(x2203)+~P5(x2202,x2203)+P5(f35(x2201,x2202),x2203)
% 135.35/135.49 [236]P5(x2361,a56)+~E(f31(x2362,x2363),x2361)+~P5(x2363,f51(a57))+~P5(x2362,f51(a55))
% 135.35/135.49 [237]~P4(x2373)+~P5(x2371,x2373)+~P5(x2372,x2373)+P5(f31(x2371,x2372),x2373)
% 135.35/135.49 [268]~P1(x2681)+~P5(x2683,x2682)+~E(x2682,f51(x2681))+P1(f12(x2681,x2682,x2683))
% 135.35/135.49 [241]~P1(x2413)+~P1(x2412)+~P1(x2411)+E(f31(f31(x2411,x2412),x2413),f31(x2411,f31(x2412,x2413)))
% 135.35/135.49 [242]~P1(x2423)+~P1(x2422)+~P1(x2421)+E(f35(f35(x2421,x2422),x2423),f35(x2421,f35(x2422,x2423)))
% 135.35/135.49 [257]~P1(x2573)+~P1(x2572)+~P1(x2571)+E(f31(f35(x2571,x2572),f35(x2571,x2573)),f35(x2571,f31(x2572,x2573)))
% 135.35/135.49 [258]~P1(x2582)+~P1(x2583)+~P1(x2581)+E(f31(f35(x2581,x2582),f35(x2583,x2582)),f35(f31(x2581,x2583),x2582))
% 135.35/135.49 [270]~P1(x2701)+~P5(x2703,x2702)+~E(x2702,f51(x2701))+E(f35(x2701,f12(x2701,x2702,x2703)),x2703)
% 135.35/135.49 [162]~P1(x1621)+~P1(x1622)+E(x1621,a1)+E(x1622,a1)+~E(f35(x1622,x1621),a1)
% 135.35/135.49 [209]~P1(x2092)+~P1(x2091)+~P8(x2091,a57)+P1(f18(x2091))+~E(f35(x2091,x2092),a55)
% 135.35/135.49 [210]~P1(x2102)+~P1(x2101)+~P2(x2101,a57)+P1(f18(x2101))+~E(f35(x2101,x2102),a55)
% 135.35/135.49 [211]~P1(x2112)+~P1(x2111)+~P8(x2111,a55)+P1(f18(x2111))+~E(f35(x2111,x2112),a57)
% 135.35/135.49 [214]~P1(x2142)+~P1(x2141)+~P8(x2141,a57)+P8(x2141,a58)+~E(f35(x2141,x2142),a55)
% 135.35/135.49 [215]~P1(x2152)+~P1(x2151)+~P2(x2151,a57)+P8(x2151,a58)+~E(f35(x2151,x2152),a55)
% 135.35/135.49 [216]~P1(x2162)+~P1(x2161)+~P8(x2161,a55)+P8(x2161,a58)+~E(f35(x2161,x2162),a57)
% 135.35/135.49 [235]~P1(x2352)+~P3(x2351)+P5(f11(x2352,x2351),x2351)+E(x2351,f51(x2352))+P1(f10(x2352,x2351))
% 135.35/135.49 [238]~P3(x2382)+~P3(x2381)+E(x2381,x2382)+P5(f14(x2381,x2382),x2381)+P5(f24(x2381,x2382),x2382)
% 135.35/135.49 [252]~P3(x2522)+~P3(x2521)+E(x2521,x2522)+P5(f14(x2521,x2522),x2521)+~P5(f24(x2521,x2522),x2521)
% 135.35/135.49 [253]~P3(x2532)+~P3(x2531)+E(x2531,x2532)+P5(f24(x2531,x2532),x2532)+~P5(f14(x2531,x2532),x2532)
% 135.35/135.49 [266]~P3(x2662)+~P3(x2661)+E(x2661,x2662)+~P5(f14(x2661,x2662),x2662)+~P5(f24(x2661,x2662),x2661)
% 135.35/135.49 [223]~P1(x2232)+~P1(x2231)+~P8(x2231,a57)+~E(f35(x2231,x2232),a55)+E(f35(x2231,f18(x2231)),a58)
% 135.35/135.49 [224]~P1(x2242)+~P1(x2241)+~P2(x2241,a57)+~E(f35(x2241,x2242),a55)+E(f35(x2241,f18(x2241)),a58)
% 135.35/135.49 [225]~P1(x2252)+~P1(x2251)+~P8(x2251,a55)+~E(f35(x2251,x2252),a57)+E(f35(x2251,f18(x2251)),a58)
% 135.35/135.49 [245]~P1(x2451)+~P1(x2452)+E(x2451,a1)+P9(f36(f8(x2452,x2451)),f36(x2451))+E(f8(x2452,x2451),a1)
% 135.35/135.49 [248]~P1(x2482)+~P3(x2481)+P5(f11(x2482,x2481),x2481)+E(x2481,f51(x2482))+E(f35(x2482,f10(x2482,x2481)),f11(x2482,x2481))
% 135.35/135.49 [197]~P1(x1972)+~P1(x1971)+~P1(x1973)+P8(x1971,x1972)+~E(f35(x1971,x1973),x1972)
% 135.35/135.49 [232]E(x2321,a1)+~E(f31(x2322,x2323),x2321)+~P5(x2323,f51(a57))+~P5(x2322,f51(a55))+~E(f37(x2321),a1)
% 135.35/135.49 [240]E(x2401,a1)+~E(f31(x2402,x2403),x2401)+~P5(x2403,f51(a57))+~P5(x2402,f51(a55))+P5(f37(x2401),a56)
% 135.35/135.49 [243]E(x2431,a1)+~E(f31(x2432,x2433),x2431)+P5(f43(x2431),f51(a55))+~P5(x2433,f51(a57))+~P5(x2432,f51(a55))
% 135.35/135.49 [244]E(x2441,a1)+~E(f31(x2442,x2443),x2441)+P5(f44(x2441),f51(a57))+~P5(x2443,f51(a57))+~P5(x2442,f51(a55))
% 135.35/135.49 [246]E(x2461,a1)+~E(f31(x2462,x2463),x2461)+~P5(x2463,f51(a57))+~P5(x2462,f51(a55))+E(f31(f43(x2461),f44(x2461)),f37(x2461))
% 135.35/135.49 [251]E(x2511,a1)+~E(f31(x2512,x2513),x2511)+~P5(x2513,f51(a57))+~P5(x2512,f51(a55))+P9(f36(f37(x2511)),f36(x2511))
% 135.35/135.49 [269]~P1(x2692)+~P1(x2691)+~P4(x2693)+P11(x2691,x2692,x2693)+~P5(f31(x2691,f53(x2692)),x2693)
% 135.35/135.49 [271]~P1(x2712)+~P1(x2711)+~P4(x2713)+~P11(x2711,x2712,x2713)+P5(f31(x2711,f53(x2712)),x2713)
% 135.35/135.49 [202]~P1(x2023)+~P1(x2024)+P5(x2021,x2022)+~E(f35(x2023,x2024),x2021)+~E(x2022,f51(x2023))
% 135.35/135.49 [218]~P3(x2184)+~P3(x2182)+~P5(x2181,x2183)+P5(x2181,x2182)+~E(x2183,f50(x2184,x2182))
% 135.35/135.49 [219]~P3(x2194)+~P3(x2192)+~P5(x2191,x2193)+P5(x2191,x2192)+~E(x2193,f50(x2192,x2194))
% 135.35/135.49 [287]~P3(x2872)+~P3(x2871)+~P5(x2874,x2873)+~E(x2873,f52(x2871,x2872))+P5(f39(x2871,x2872,x2873,x2874),x2871)
% 135.35/135.49 [288]~P3(x2882)+~P3(x2881)+~P5(x2884,x2883)+~E(x2883,f52(x2881,x2882))+P5(f46(x2881,x2882,x2883,x2884),x2882)
% 135.35/135.49 [295]~P3(x2952)+~P3(x2951)+~P5(x2954,x2953)+~E(x2953,f52(x2951,x2952))+E(f31(f39(x2951,x2952,x2953,x2954),f46(x2951,x2952,x2953,x2954)),x2954)
% 135.35/135.49 [265]~P5(x2651,a56)+~P5(x2652,a56)+E(x2651,a1)+E(x2652,a1)+~P9(f36(x2651),f36(a33))+~P9(f36(x2652),f36(f38(x2651)))
% 135.35/135.49 [221]~P1(x2212)+~P1(x2213)+~P1(x2211)+P1(f18(x2211))+~E(f35(x2211,x2212),a55)+~E(f35(x2211,x2213),a57)
% 135.35/135.49 [228]~P1(x2282)+~P1(x2283)+~P1(x2281)+P8(x2281,a58)+~E(f35(x2281,x2282),a55)+~E(f35(x2281,x2283),a57)
% 135.35/135.49 [256]E(x2561,a1)+~E(f31(x2562,x2563),x2561)+~P5(x2563,f51(a57))+~P5(x2562,f51(a55))+~P9(f36(x2561),f36(a33))+~E(f38(x2561),a1)
% 135.35/135.49 [260]~P1(x2603)+~P1(x2602)+~P3(x2601)+~P5(f11(x2602,x2601),x2601)+~E(f11(x2602,x2601),f35(x2602,x2603))+E(x2601,f51(x2602))
% 135.35/135.49 [262]E(x2621,a1)+~E(f31(x2622,x2623),x2621)+~P5(x2623,f51(a57))+~P5(x2622,f51(a55))+~P9(f36(x2621),f36(a33))+P5(f38(x2621),a56)
% 135.35/135.49 [263]E(x2631,a1)+~E(f31(x2632,x2633),x2631)+P5(f40(x2631),f51(a55))+~P5(x2633,f51(a57))+~P5(x2632,f51(a55))+~P9(f36(x2631),f36(a33))
% 135.35/135.49 [264]E(x2641,a1)+~E(f31(x2642,x2643),x2641)+P5(f41(x2641),f51(a57))+~P5(x2643,f51(a57))+~P5(x2642,f51(a55))+~P9(f36(x2641),f36(a33))
% 135.35/135.49 [276]~P1(x2763)+~P1(x2762)+~P2(x2761,x2763)+~P2(x2761,x2762)+P6(x2761,x2762,x2763)+P2(f13(x2762,x2763,x2761),x2763)
% 135.35/135.49 [277]~P1(x2773)+~P1(x2772)+~P2(x2771,x2773)+~P2(x2771,x2772)+P6(x2771,x2772,x2773)+P2(f13(x2772,x2773,x2771),x2772)
% 135.35/135.49 [279]~P3(x2791)+~P3(x2793)+~P3(x2792)+P5(f45(x2792,x2793,x2791),x2791)+P5(f47(x2792,x2793,x2791),x2792)+E(x2791,f52(x2792,x2793))
% 135.35/135.49 [280]~P3(x2801)+~P3(x2803)+~P3(x2802)+P5(f45(x2802,x2803,x2801),x2801)+P5(f48(x2802,x2803,x2801),x2803)+E(x2801,f52(x2802,x2803))
% 135.35/135.49 [281]~P3(x2811)+~P3(x2813)+~P3(x2812)+P5(f49(x2812,x2813,x2811),x2811)+P5(f49(x2812,x2813,x2811),x2813)+E(x2811,f50(x2812,x2813))
% 135.35/135.49 [282]~P3(x2821)+~P3(x2823)+~P3(x2822)+P5(f49(x2822,x2823,x2821),x2821)+P5(f49(x2822,x2823,x2821),x2822)+E(x2821,f50(x2822,x2823))
% 135.35/135.49 [283]~P1(x2833)+~P1(x2832)+~P2(x2831,x2833)+~P2(x2831,x2832)+P6(x2831,x2832,x2833)+~P8(f13(x2832,x2833,x2831),x2831)
% 135.35/135.49 [231]~P1(x2312)+~P1(x2313)+~P1(x2311)+~E(f35(x2311,x2312),a55)+~E(f35(x2311,x2313),a57)+E(f35(x2311,f18(x2311)),a58)
% 135.35/135.49 [267]E(x2671,a1)+~E(f31(x2672,x2673),x2671)+~P5(x2673,f51(a57))+~P5(x2672,f51(a55))+~P9(f36(x2671),f36(a33))+E(f31(f40(x2671),f41(x2671)),f38(x2671))
% 135.35/135.49 [285]~P3(x2851)+~P3(x2853)+~P3(x2852)+P5(f45(x2852,x2853,x2851),x2851)+E(x2851,f52(x2852,x2853))+E(f31(f47(x2852,x2853,x2851),f48(x2852,x2853,x2851)),f45(x2852,x2853,x2851))
% 135.35/135.49 [272]~P2(x2721,x2723)+~P2(x2721,x2724)+~P6(x2722,x2724,x2723)+P8(x2721,x2722)+~P1(x2723)+~P1(x2724)
% 135.35/135.49 [239]~P3(x2394)+~P3(x2393)+~P5(x2391,x2394)+~P5(x2391,x2393)+P5(x2391,x2392)+~E(x2392,f50(x2393,x2394))
% 135.35/135.49 [286]~P1(x2864)+~P1(x2863)+~P4(x2862)+~P4(x2861)+P1(f6(x2861,x2862))+P1(f7(x2861,x2862,x2863,x2864))
% 135.35/135.49 [289]~P1(x2894)+~P1(x2893)+~P4(x2892)+~P4(x2891)+P11(f7(x2891,x2892,x2893,x2894),x2894,x2892)+P1(f6(x2891,x2892))
% 135.35/135.49 [290]~P1(x2904)+~P1(x2903)+~P4(x2902)+~P4(x2901)+P11(f7(x2901,x2902,x2903,x2904),x2903,x2901)+P1(f6(x2901,x2902))
% 135.35/135.49 [292]~P1(x2924)+~P1(x2923)+~P4(x2922)+~P4(x2921)+~P5(f6(x2921,x2922),f52(x2921,x2922))+P1(f7(x2921,x2922,x2923,x2924))
% 135.35/135.49 [293]~P1(x2934)+~P1(x2933)+~P4(x2932)+~P4(x2931)+P11(f7(x2931,x2932,x2933,x2934),x2934,x2932)+~P5(f6(x2931,x2932),f52(x2931,x2932))
% 135.35/135.49 [294]~P1(x2944)+~P1(x2943)+~P4(x2942)+~P4(x2941)+P11(f7(x2941,x2942,x2943,x2944),x2943,x2941)+~P5(f6(x2941,x2942),f52(x2941,x2942))
% 135.35/135.49 [291]~P3(x2911)+~P3(x2913)+~P3(x2912)+~P5(f49(x2912,x2913,x2911),x2911)+~P5(f49(x2912,x2913,x2911),x2913)+~P5(f49(x2912,x2913,x2911),x2912)+E(x2911,f50(x2912,x2913))
% 135.35/135.49 [254]~P3(x2544)+~P3(x2543)+~P5(x2546,x2544)+~P5(x2545,x2543)+P5(x2541,x2542)+~E(x2542,f52(x2543,x2544))+~E(f31(x2545,x2546),x2541)
% 135.35/135.49 [273]~P5(x2731,a56)+E(x2731,a1)+~E(f31(x2733,x2734),x2732)+E(x2732,a1)+~P5(x2734,f51(a57))+~P5(x2733,f51(a55))+~P9(f36(x2731),f36(a33))+~P9(f36(x2732),f36(f38(x2731)))
% 135.35/135.49 [274]~P5(x2742,a56)+E(x2741,a1)+~E(f31(x2743,x2744),x2741)+E(x2742,a1)+~P5(x2744,f51(a57))+~P5(x2743,f51(a55))+~P9(f36(x2741),f36(a33))+~P9(f36(x2742),f36(f38(x2741)))
% 135.35/135.49 [284]~P3(x2841)+~P3(x2843)+~P3(x2842)+~P5(x2845,x2843)+~P5(x2844,x2842)+~P5(f45(x2842,x2843,x2841),x2841)+E(x2841,f52(x2842,x2843))+~E(f31(x2844,x2845),f45(x2842,x2843,x2841))
% 135.35/135.49 [278]E(x2781,a1)+~E(f31(x2783,x2784),x2781)+E(x2782,a1)+~E(f31(x2785,x2786),x2782)+~P5(x2784,f51(a57))+~P5(x2783,f51(a55))+~P5(x2786,f51(a57))+~P5(x2785,f51(a55))+~P9(f36(x2781),f36(a33))+~P9(f36(x2782),f36(f38(x2781)))
% 135.35/135.49 %EqnAxiom
% 135.35/135.49 [1]E(x11,x11)
% 135.35/135.49 [2]E(x22,x21)+~E(x21,x22)
% 135.35/135.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 135.35/135.49 [4]~E(x41,x42)+E(f31(x41,x43),f31(x42,x43))
% 135.35/135.49 [5]~E(x51,x52)+E(f31(x53,x51),f31(x53,x52))
% 135.35/135.49 [6]~E(x61,x62)+E(f52(x61,x63),f52(x62,x63))
% 135.35/135.49 [7]~E(x71,x72)+E(f52(x73,x71),f52(x73,x72))
% 135.35/135.49 [8]~E(x81,x82)+E(f35(x81,x83),f35(x82,x83))
% 135.35/135.49 [9]~E(x91,x92)+E(f35(x93,x91),f35(x93,x92))
% 135.35/135.49 [10]~E(x101,x102)+E(f13(x101,x103,x104),f13(x102,x103,x104))
% 135.35/135.49 [11]~E(x111,x112)+E(f13(x113,x111,x114),f13(x113,x112,x114))
% 135.35/135.49 [12]~E(x121,x122)+E(f13(x123,x124,x121),f13(x123,x124,x122))
% 135.35/135.49 [13]~E(x131,x132)+E(f42(x131),f42(x132))
% 135.35/135.49 [14]~E(x141,x142)+E(f3(x141),f3(x142))
% 135.35/135.49 [15]~E(x151,x152)+E(f45(x151,x153,x154),f45(x152,x153,x154))
% 135.35/135.49 [16]~E(x161,x162)+E(f45(x163,x161,x164),f45(x163,x162,x164))
% 135.35/135.49 [17]~E(x171,x172)+E(f45(x173,x174,x171),f45(x173,x174,x172))
% 135.35/135.49 [18]~E(x181,x182)+E(f4(x181),f4(x182))
% 135.35/135.49 [19]~E(x191,x192)+E(f51(x191),f51(x192))
% 135.35/135.49 [20]~E(x201,x202)+E(f36(x201),f36(x202))
% 135.35/135.49 [21]~E(x211,x212)+E(f38(x211),f38(x212))
% 135.35/135.49 [22]~E(x221,x222)+E(f49(x221,x223,x224),f49(x222,x223,x224))
% 135.35/135.49 [23]~E(x231,x232)+E(f49(x233,x231,x234),f49(x233,x232,x234))
% 135.35/135.49 [24]~E(x241,x242)+E(f49(x243,x244,x241),f49(x243,x244,x242))
% 135.35/135.49 [25]~E(x251,x252)+E(f41(x251),f41(x252))
% 135.35/135.49 [26]~E(x261,x262)+E(f50(x261,x263),f50(x262,x263))
% 135.35/135.49 [27]~E(x271,x272)+E(f50(x273,x271),f50(x273,x272))
% 135.35/135.49 [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283))
% 135.35/135.49 [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292))
% 135.35/135.49 [30]~E(x301,x302)+E(f48(x301,x303,x304),f48(x302,x303,x304))
% 135.35/135.49 [31]~E(x311,x312)+E(f48(x313,x311,x314),f48(x313,x312,x314))
% 135.35/135.49 [32]~E(x321,x322)+E(f48(x323,x324,x321),f48(x323,x324,x322))
% 135.35/135.49 [33]~E(x331,x332)+E(f47(x331,x333,x334),f47(x332,x333,x334))
% 135.35/135.49 [34]~E(x341,x342)+E(f47(x343,x341,x344),f47(x343,x342,x344))
% 135.35/135.49 [35]~E(x351,x352)+E(f47(x353,x354,x351),f47(x353,x354,x352))
% 135.35/135.49 [36]~E(x361,x362)+E(f6(x361,x363),f6(x362,x363))
% 135.35/135.49 [37]~E(x371,x372)+E(f6(x373,x371),f6(x373,x372))
% 135.35/135.49 [38]~E(x381,x382)+E(f9(x381,x383),f9(x382,x383))
% 135.35/135.49 [39]~E(x391,x392)+E(f9(x393,x391),f9(x393,x392))
% 135.35/135.49 [40]~E(x401,x402)+E(f14(x401,x403),f14(x402,x403))
% 135.35/135.49 [41]~E(x411,x412)+E(f14(x413,x411),f14(x413,x412))
% 135.35/135.49 [42]~E(x421,x422)+E(f24(x421,x423),f24(x422,x423))
% 135.35/135.49 [43]~E(x431,x432)+E(f24(x433,x431),f24(x433,x432))
% 135.35/135.49 [44]~E(x441,x442)+E(f40(x441),f40(x442))
% 135.35/135.49 [45]~E(x451,x452)+E(f53(x451),f53(x452))
% 135.35/135.49 [46]~E(x461,x462)+E(f44(x461),f44(x462))
% 135.35/135.49 [47]~E(x471,x472)+E(f10(x471,x473),f10(x472,x473))
% 135.35/135.49 [48]~E(x481,x482)+E(f10(x483,x481),f10(x483,x482))
% 135.35/135.49 [49]~E(x491,x492)+E(f8(x491,x493),f8(x492,x493))
% 135.35/135.49 [50]~E(x501,x502)+E(f8(x503,x501),f8(x503,x502))
% 135.35/135.49 [51]~E(x511,x512)+E(f7(x511,x513,x514,x515),f7(x512,x513,x514,x515))
% 135.35/135.49 [52]~E(x521,x522)+E(f7(x523,x521,x524,x525),f7(x523,x522,x524,x525))
% 135.35/135.49 [53]~E(x531,x532)+E(f7(x533,x534,x531,x535),f7(x533,x534,x532,x535))
% 135.35/135.49 [54]~E(x541,x542)+E(f7(x543,x544,x545,x541),f7(x543,x544,x545,x542))
% 135.35/135.49 [55]~E(x551,x552)+E(f18(x551),f18(x552))
% 135.35/135.49 [56]~E(x561,x562)+E(f46(x561,x563,x564,x565),f46(x562,x563,x564,x565))
% 135.35/135.49 [57]~E(x571,x572)+E(f46(x573,x571,x574,x575),f46(x573,x572,x574,x575))
% 135.35/135.49 [58]~E(x581,x582)+E(f46(x583,x584,x581,x585),f46(x583,x584,x582,x585))
% 135.35/135.49 [59]~E(x591,x592)+E(f46(x593,x594,x595,x591),f46(x593,x594,x595,x592))
% 135.35/135.49 [60]~E(x601,x602)+E(f43(x601),f43(x602))
% 135.35/135.49 [61]~E(x611,x612)+E(f39(x611,x613,x614,x615),f39(x612,x613,x614,x615))
% 135.35/135.49 [62]~E(x621,x622)+E(f39(x623,x621,x624,x625),f39(x623,x622,x624,x625))
% 135.35/135.49 [63]~E(x631,x632)+E(f39(x633,x634,x631,x635),f39(x633,x634,x632,x635))
% 135.35/135.49 [64]~E(x641,x642)+E(f39(x643,x644,x645,x641),f39(x643,x644,x645,x642))
% 135.35/135.49 [65]~E(x651,x652)+E(f37(x651),f37(x652))
% 135.35/135.49 [66]~E(x661,x662)+E(f20(x661),f20(x662))
% 135.35/135.49 [67]~E(x671,x672)+E(f5(x671,x673),f5(x672,x673))
% 135.35/135.49 [68]~E(x681,x682)+E(f5(x683,x681),f5(x683,x682))
% 135.35/135.49 [69]~E(x691,x692)+E(f21(x691),f21(x692))
% 135.35/135.49 [70]~E(x701,x702)+E(f12(x701,x703,x704),f12(x702,x703,x704))
% 135.35/135.49 [71]~E(x711,x712)+E(f12(x713,x711,x714),f12(x713,x712,x714))
% 135.35/135.49 [72]~E(x721,x722)+E(f12(x723,x724,x721),f12(x723,x724,x722))
% 135.35/135.49 [73]~E(x731,x732)+E(f29(x731),f29(x732))
% 135.35/135.49 [74]~E(x741,x742)+E(f17(x741),f17(x742))
% 135.35/135.49 [75]~E(x751,x752)+E(f19(x751),f19(x752))
% 135.35/135.49 [76]~E(x761,x762)+E(f28(x761),f28(x762))
% 135.35/135.49 [77]~P1(x771)+P1(x772)+~E(x771,x772)
% 135.35/135.49 [78]P5(x782,x783)+~E(x781,x782)+~P5(x781,x783)
% 135.35/135.49 [79]P5(x793,x792)+~E(x791,x792)+~P5(x793,x791)
% 135.35/135.49 [80]~P3(x801)+P3(x802)+~E(x801,x802)
% 135.35/135.49 [81]P8(x812,x813)+~E(x811,x812)+~P8(x811,x813)
% 135.35/135.49 [82]P8(x823,x822)+~E(x821,x822)+~P8(x823,x821)
% 135.35/135.49 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 135.35/135.49 [84]P11(x842,x843,x844)+~E(x841,x842)+~P11(x841,x843,x844)
% 135.35/135.49 [85]P11(x853,x852,x854)+~E(x851,x852)+~P11(x853,x851,x854)
% 135.35/135.49 [86]P11(x863,x864,x862)+~E(x861,x862)+~P11(x863,x864,x861)
% 135.35/135.49 [87]P2(x872,x873)+~E(x871,x872)+~P2(x871,x873)
% 135.35/135.49 [88]P2(x883,x882)+~E(x881,x882)+~P2(x883,x881)
% 135.35/135.49 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 135.35/135.49 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 135.35/135.49 [91]P6(x912,x913,x914)+~E(x911,x912)+~P6(x911,x913,x914)
% 135.35/135.49 [92]P6(x923,x922,x924)+~E(x921,x922)+~P6(x923,x921,x924)
% 135.35/135.49 [93]P6(x933,x934,x932)+~E(x931,x932)+~P6(x933,x934,x931)
% 135.35/135.49 [94]P10(x942,x943)+~E(x941,x942)+~P10(x941,x943)
% 135.35/135.49 [95]P10(x953,x952)+~E(x951,x952)+~P10(x953,x951)
% 135.35/135.49 [96]~P7(x961)+P7(x962)+~E(x961,x962)
% 135.35/135.49
% 135.35/135.49 %-------------------------------------------
% 135.35/135.50 cnf(296,plain,
% 135.35/135.50 (E(a33,f31(a32,a34))),
% 135.35/135.50 inference(scs_inference,[],[112,2])).
% 135.35/135.50 cnf(297,plain,
% 135.35/135.50 (P5(a27,a56)),
% 135.35/135.50 inference(scs_inference,[],[112,134,132,2,79])).
% 135.35/135.50 cnf(298,plain,
% 135.35/135.50 (P5(f31(a32,a34),a56)),
% 135.35/135.50 inference(scs_inference,[],[112,119,134,132,2,79,78])).
% 135.35/135.50 cnf(299,plain,
% 135.35/135.50 (~E(a1,f31(a32,a34))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,134,132,2,79,78,3])).
% 135.35/135.50 cnf(300,plain,
% 135.35/135.50 (P8(a58,a58)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,122,123,134,132,2,79,78,3,194])).
% 135.35/135.50 cnf(302,plain,
% 135.35/135.50 (P2(a58,a58)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,102,122,123,134,132,2,79,78,3,194,191])).
% 135.35/135.50 cnf(304,plain,
% 135.35/135.50 (P8(a55,a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197])).
% 135.35/135.50 cnf(306,plain,
% 135.35/135.50 (P5(f21(a33),f51(a57))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170])).
% 135.35/135.50 cnf(308,plain,
% 135.35/135.50 (P5(f20(a33),f51(a55))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169])).
% 135.35/135.50 cnf(310,plain,
% 135.35/135.50 (E(f35(a1,a54),a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149])).
% 135.35/135.50 cnf(312,plain,
% 135.35/135.50 (E(f31(a1,a1),a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148])).
% 135.35/135.50 cnf(314,plain,
% 135.35/135.50 (E(f35(a54,a1),a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147])).
% 135.35/135.50 cnf(316,plain,
% 135.35/135.50 (E(f31(a1,a54),a54)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146])).
% 135.35/135.50 cnf(318,plain,
% 135.35/135.50 (E(f35(a1,a1),a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144])).
% 135.35/135.50 cnf(320,plain,
% 135.35/135.50 (E(f35(a1,a55),a1)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143])).
% 135.35/135.50 cnf(322,plain,
% 135.35/135.50 (P4(f51(a1))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141])).
% 135.35/135.50 cnf(324,plain,
% 135.35/135.50 (P1(f53(a1))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140])).
% 135.35/135.50 cnf(326,plain,
% 135.35/135.50 (E(f35(a57,f29(a34)),a34)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187])).
% 135.35/135.50 cnf(328,plain,
% 135.35/135.50 (E(f35(a57,f19(a34)),a34)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186])).
% 135.35/135.50 cnf(330,plain,
% 135.35/135.50 (E(f35(a55,f28(a32)),a32)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185])).
% 135.35/135.50 cnf(332,plain,
% 135.35/135.50 (E(f35(a55,f17(a32)),a32)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184])).
% 135.35/135.50 cnf(334,plain,
% 135.35/135.50 (P1(f29(a34))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161])).
% 135.35/135.50 cnf(336,plain,
% 135.35/135.50 (P1(f28(a32))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160])).
% 135.35/135.50 cnf(338,plain,
% 135.35/135.50 (P1(f19(a34))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159])).
% 135.35/135.50 cnf(354,plain,
% 135.35/135.50 (E(f39(x3541,x3542,x3543,f31(a32,a34)),f39(x3541,x3542,x3543,a33))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64])).
% 135.35/135.50 cnf(355,plain,
% 135.35/135.50 (E(f39(x3551,x3552,f31(a32,a34),x3553),f39(x3551,x3552,a33,x3553))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63])).
% 135.35/135.50 cnf(368,plain,
% 135.35/135.50 (E(f8(x3681,f31(a32,a34)),f8(x3681,a33))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50])).
% 135.35/135.50 cnf(399,plain,
% 135.35/135.50 (E(f51(f31(a32,a34)),f51(a33))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 135.35/135.50 cnf(409,plain,
% 135.35/135.50 (E(f35(x4091,f31(a32,a34)),f35(x4091,a33))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 135.35/135.50 cnf(410,plain,
% 135.35/135.50 (E(f35(f31(a32,a34),x4101),f35(a33,x4101))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 135.35/135.50 cnf(413,plain,
% 135.35/135.50 (E(f31(x4131,f31(a32,a34)),f31(x4131,a33))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 135.35/135.50 cnf(414,plain,
% 135.35/135.50 (E(f31(f31(a32,a34),x4141),f31(a33,x4141))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 135.35/135.50 cnf(415,plain,
% 135.35/135.50 (E(f31(f20(a33),f21(a33)),a33)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188])).
% 135.35/135.50 cnf(425,plain,
% 135.35/135.50 (~E(a56,x4251)+P4(x4251)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83])).
% 135.35/135.50 cnf(426,plain,
% 135.35/135.50 (P1(a33)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156])).
% 135.35/135.50 cnf(428,plain,
% 135.35/135.50 (P3(f51(f31(a32,a34)))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145])).
% 135.35/135.50 cnf(430,plain,
% 135.35/135.50 (P5(f31(a33,a33),a56)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227])).
% 135.35/135.50 cnf(432,plain,
% 135.35/135.50 (P5(f35(a1,a33),a56)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207])).
% 135.35/135.50 cnf(436,plain,
% 135.35/135.50 (P4(f50(a56,a56))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175])).
% 135.35/135.50 cnf(438,plain,
% 135.35/135.50 (P4(f52(a56,a56))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174])).
% 135.35/135.50 cnf(440,plain,
% 135.35/135.50 (P1(f35(a1,a1))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173])).
% 135.35/135.50 cnf(442,plain,
% 135.35/135.50 (P1(f31(a1,a1))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172])).
% 135.35/135.50 cnf(444,plain,
% 135.35/135.50 (E(f35(a58,f18(a58)),a58)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172,204])).
% 135.35/135.50 cnf(446,plain,
% 135.35/135.50 (P5(f35(a54,a33),a56)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172,204,220])).
% 135.35/135.50 cnf(448,plain,
% 135.35/135.50 (P5(a1,a56)),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,122,123,130,131,113,124,125,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172,204,220,236])).
% 135.35/135.50 cnf(454,plain,
% 135.35/135.50 (E(f31(f31(a1,a1),a1),f31(a1,f31(a1,a1)))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,120,122,123,130,131,113,124,125,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172,204,220,236,208,242,241])).
% 135.35/135.50 cnf(458,plain,
% 135.35/135.50 (E(f31(f35(a1,a1),f35(a1,a1)),f35(f31(a1,a1),a1))),
% 135.35/135.50 inference(scs_inference,[],[112,119,137,97,98,99,102,105,109,110,120,122,123,130,131,113,124,125,134,132,2,79,78,3,194,191,197,170,169,149,148,147,146,144,143,141,140,187,186,185,184,161,160,159,158,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,188,153,152,151,150,83,156,145,227,207,190,175,174,173,172,204,220,236,208,242,241,226,258])).
% 135.35/135.50 cnf(477,plain,
% 135.35/135.50 (P3(f51(a33))),
% 135.35/135.50 inference(scs_inference,[],[428,399,80])).
% 135.35/135.50 cnf(478,plain,
% 135.35/135.50 (P1(f31(a32,a34))),
% 135.35/135.50 inference(scs_inference,[],[428,399,296,426,80,77])).
% 135.35/135.50 cnf(479,plain,
% 135.35/135.50 (P5(f31(f31(a33,a33),f31(a33,a33)),a56)),
% 135.35/135.50 inference(scs_inference,[],[110,430,428,399,296,426,80,77,237])).
% 135.35/135.50 cnf(485,plain,
% 135.35/135.50 (P5(f35(a2,a33),a56)),
% 135.35/135.50 inference(scs_inference,[],[103,109,110,119,430,428,399,322,296,426,80,77,237,139,156,207])).
% 135.35/135.50 cnf(495,plain,
% 135.35/135.50 (E(f35(a58,f9(a58,a58)),a58)),
% 135.35/135.50 inference(scs_inference,[],[103,109,102,110,119,300,430,428,399,322,296,426,80,77,237,139,156,207,173,220,241,257,226])).
% 135.35/135.50 cnf(497,plain,
% 135.35/135.50 (~E(a54,a1)),
% 135.35/135.50 inference(scs_inference,[],[103,135,109,102,110,119,300,430,428,399,322,296,426,80,77,237,139,156,207,173,220,241,257,226,2])).
% 135.35/135.50 cnf(501,plain,
% 135.35/135.50 (P4(f50(f51(a1),f51(a1)))),
% 135.35/135.50 inference(scs_inference,[],[103,135,109,102,110,119,300,430,428,399,432,322,296,316,426,80,77,237,139,156,207,173,220,241,257,226,2,3,227,175])).
% 135.35/135.50 cnf(503,plain,
% 135.35/135.50 (P4(f52(f51(a1),f51(a1)))),
% 135.35/135.50 inference(scs_inference,[],[103,135,109,102,110,119,300,430,428,399,432,322,296,316,426,80,77,237,139,156,207,173,220,241,257,226,2,3,227,175,174])).
% 135.35/135.50 cnf(564,plain,
% 135.35/135.50 (P5(f31(a27,a27),a56)),
% 135.35/135.50 inference(scs_inference,[],[110,297,237])).
% 135.35/135.50 cnf(568,plain,
% 135.35/135.50 (E(f31(f35(a22,a22),f35(a22,a22)),f35(a22,f31(a22,a22)))),
% 135.35/135.50 inference(scs_inference,[],[106,110,98,297,497,237,142,257])).
% 135.35/135.50 cnf(570,plain,
% 135.35/135.50 (P5(f35(a22,a33),a56)),
% 135.35/135.50 inference(scs_inference,[],[119,106,110,98,297,497,237,142,257,220])).
% 135.35/135.50 cnf(585,plain,
% 135.35/135.50 (P8(a1,a1)),
% 135.35/135.50 inference(scs_inference,[],[119,106,100,121,102,110,98,97,354,355,297,497,318,237,142,257,220,226,208,242,241,3,258,197])).
% 135.35/135.50 cnf(587,plain,
% 135.35/135.50 (E(a27,f31(a26,a30))),
% 135.35/135.51 inference(scs_inference,[],[119,106,111,100,121,102,110,98,97,354,355,297,497,318,237,142,257,220,226,208,242,241,3,258,197,2])).
% 135.35/135.51 cnf(591,plain,
% 135.35/135.51 (P5(f35(a33,a33),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[119,106,111,100,121,102,110,98,97,354,355,297,478,497,409,318,426,399,237,142,257,220,226,208,242,241,3,258,197,2,96,261,202])).
% 135.35/135.51 cnf(594,plain,
% 135.35/135.51 (P5(f31(a26,a30),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[119,106,111,100,134,121,102,110,98,97,354,355,297,478,497,409,318,426,399,237,142,257,220,226,208,242,241,3,258,197,2,96,261,202,78])).
% 135.35/135.51 cnf(610,plain,
% 135.35/135.51 (P2(a1,a1)),
% 135.35/135.51 inference(scs_inference,[],[97,585,191])).
% 135.35/135.51 cnf(614,plain,
% 135.35/135.51 (E(f31(f35(f5(a54,a54),a54),f8(a54,a54)),a54)),
% 135.35/135.51 inference(scs_inference,[],[98,97,591,585,426,399,497,191,268,261])).
% 135.35/135.51 cnf(616,plain,
% 135.35/135.51 (~E(f35(a54,a54),a1)),
% 135.35/135.51 inference(scs_inference,[],[98,97,591,585,426,399,497,191,268,261,162])).
% 135.35/135.51 cnf(622,plain,
% 135.35/135.51 (P8(a57,a1)),
% 135.35/135.51 inference(scs_inference,[],[107,115,100,98,97,591,585,426,399,497,191,268,261,162,183,182,197])).
% 135.35/135.51 cnf(625,plain,
% 135.35/135.51 (~E(a27,a1)),
% 135.35/135.51 inference(scs_inference,[],[107,136,115,100,98,97,591,585,426,399,497,191,268,261,162,183,182,197,3,2])).
% 135.35/135.51 cnf(628,plain,
% 135.35/135.51 (P5(f37(a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[119,107,136,128,129,115,111,100,98,97,591,585,426,399,497,191,268,261,162,183,182,197,3,2,270,240])).
% 135.35/135.51 cnf(630,plain,
% 135.35/135.51 (~E(f37(a27),a1)),
% 135.35/135.51 inference(scs_inference,[],[119,107,136,128,129,115,111,100,98,97,591,585,426,399,497,191,268,261,162,183,182,197,3,2,270,240,232])).
% 135.35/135.51 cnf(634,plain,
% 135.35/135.51 (E(f31(f43(a27),f44(a27)),f37(a27))),
% 135.35/135.51 inference(scs_inference,[],[119,107,136,128,129,115,111,100,98,97,591,585,426,399,497,191,268,261,162,183,182,197,3,2,270,240,232,251,246])).
% 135.35/135.51 cnf(636,plain,
% 135.35/135.51 (P5(f44(a27),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[119,107,136,128,129,115,111,100,98,97,591,585,297,426,399,497,191,268,261,162,183,182,197,3,2,270,240,232,251,246,177])).
% 135.35/135.51 cnf(656,plain,
% 135.35/135.51 (P5(f43(a27),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[297,625,176])).
% 135.35/135.51 cnf(658,plain,
% 135.35/135.51 (P5(f37(f37(a27)),a56)),
% 135.35/135.51 inference(scs_inference,[],[297,636,634,630,625,176,240])).
% 135.35/135.51 cnf(660,plain,
% 135.35/135.51 (~E(f37(f37(a27)),a1)),
% 135.35/135.51 inference(scs_inference,[],[297,636,634,628,630,625,176,240,154])).
% 135.35/135.51 cnf(662,plain,
% 135.35/135.51 (P2(a57,a1)),
% 135.35/135.51 inference(scs_inference,[],[297,100,97,636,634,628,630,622,625,176,240,154,191])).
% 135.35/135.51 cnf(665,plain,
% 135.35/135.51 (E(a55,f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[114,137,297,100,97,636,634,628,630,622,625,415,176,240,154,191,3,2])).
% 135.35/135.51 cnf(668,plain,
% 135.35/135.51 (P6(a58,f35(a55,a22),a57)),
% 135.35/135.51 inference(scs_inference,[],[133,114,137,297,100,97,636,634,628,630,622,625,415,176,240,154,191,3,2,233,92])).
% 135.35/135.51 cnf(686,plain,
% 135.35/135.51 (P8(a58,f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[120,122,665,88,82])).
% 135.35/135.51 cnf(687,plain,
% 135.35/135.51 (P5(f37(f37(f37(a27))),a56)),
% 135.35/135.51 inference(scs_inference,[],[120,122,658,660,665,88,82,163])).
% 135.35/135.51 cnf(689,plain,
% 135.35/135.51 (P8(f35(a55,a22),a1)),
% 135.35/135.51 inference(scs_inference,[],[120,122,658,660,665,304,88,82,163,81])).
% 135.35/135.51 cnf(690,plain,
% 135.35/135.51 (P1(f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[120,99,122,658,660,665,304,88,82,163,81,77])).
% 135.35/135.51 cnf(691,plain,
% 135.35/135.51 (E(f35(a58,a2),f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[117,120,99,122,658,660,665,304,88,82,163,81,77,3])).
% 135.35/135.51 cnf(692,plain,
% 135.35/135.51 (~E(a33,a1)),
% 135.35/135.51 inference(scs_inference,[],[117,137,120,99,122,658,660,665,304,88,82,163,81,77,3,2])).
% 135.35/135.51 cnf(707,plain,
% 135.35/135.51 (E(f35(a15,a54),a15)),
% 135.35/135.51 inference(scs_inference,[],[298,104,170,149])).
% 135.35/135.51 cnf(713,plain,
% 135.35/135.51 (P4(f51(a15))),
% 135.35/135.51 inference(scs_inference,[],[298,104,170,149,148,144,141])).
% 135.35/135.51 cnf(729,plain,
% 135.35/135.51 (P9(f36(f37(a33)),f36(a33))),
% 135.35/135.51 inference(scs_inference,[],[298,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251])).
% 135.35/135.51 cnf(731,plain,
% 135.35/135.51 (E(f31(f43(a33),f44(a33)),f37(a33))),
% 135.35/135.51 inference(scs_inference,[],[298,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246])).
% 135.35/135.51 cnf(774,plain,
% 135.35/135.51 (E(f51(f35(a58,a15)),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19])).
% 135.35/135.51 cnf(777,plain,
% 135.35/135.51 (E(f35(x7771,f35(a58,a15)),f35(x7771,a57))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9])).
% 135.35/135.51 cnf(778,plain,
% 135.35/135.51 (E(f35(f35(a58,a15),x7781),f35(a57,x7781))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8])).
% 135.35/135.51 cnf(780,plain,
% 135.35/135.51 (E(f31(x7801,f35(a58,a15)),f31(x7801,a57))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,104,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5])).
% 135.35/135.51 cnf(795,plain,
% 135.35/135.51 (~E(f37(a33),a1)),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,116,104,108,100,297,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232])).
% 135.35/135.51 cnf(832,plain,
% 135.35/135.51 (~E(f35(a54,a54),f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,113,116,104,108,100,297,616,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3])).
% 135.35/135.51 cnf(833,plain,
% 135.35/135.51 (E(a57,f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[298,118,124,125,113,116,104,108,100,297,616,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3,2])).
% 135.35/135.51 cnf(836,plain,
% 135.35/135.51 (P3(f51(f35(a58,a15)))),
% 135.35/135.51 inference(scs_inference,[],[131,298,118,124,125,113,116,104,108,100,297,616,306,308,692,415,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3,2,256,145])).
% 135.35/135.51 cnf(839,plain,
% 135.35/135.51 (E(f35(x8391,f31(a32,a34)),f35(x8391,a33))),
% 135.35/135.51 inference(rename_variables,[],[409])).
% 135.35/135.51 cnf(841,plain,
% 135.35/135.51 (P5(f31(f31(a32,a34),f31(a32,a34)),a56)),
% 135.35/135.51 inference(scs_inference,[],[131,298,118,124,125,113,116,104,108,100,297,110,616,306,308,692,478,415,409,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3,2,256,145,181,237])).
% 135.35/135.51 cnf(848,plain,
% 135.35/135.51 (P5(f31(a26,a30),a56)),
% 135.35/135.51 inference(scs_inference,[],[131,298,118,124,125,132,113,116,104,108,100,297,110,594,616,306,308,692,478,415,409,839,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3,2,256,145,181,237,179,268,79])).
% 135.35/135.51 cnf(849,plain,
% 135.35/135.51 (P6(a58,a55,f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[131,298,118,124,125,132,113,116,133,104,108,100,297,110,594,616,306,308,692,478,415,409,839,170,149,148,144,141,140,158,153,150,146,187,186,251,246,169,147,161,160,159,75,74,73,72,69,66,65,59,54,52,50,46,45,44,43,41,39,38,37,34,33,32,31,28,27,26,25,24,23,21,20,19,11,10,9,8,7,5,188,152,151,185,184,202,143,232,76,71,70,68,67,64,63,62,61,60,58,57,56,55,53,51,49,48,47,42,40,36,35,30,29,22,18,17,16,15,14,13,12,6,4,3,2,256,145,181,237,179,268,79,93])).
% 135.35/135.51 cnf(860,plain,
% 135.35/135.51 (P1(f35(a33,a33))),
% 135.35/135.51 inference(scs_inference,[],[298,107,501,591,428,139,207,156])).
% 135.35/135.51 cnf(862,plain,
% 135.35/135.51 (P3(f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[298,107,501,836,774,591,428,139,207,156,80])).
% 135.35/135.51 cnf(863,plain,
% 135.35/135.51 (P2(f35(a58,a15),a1)),
% 135.35/135.51 inference(scs_inference,[],[298,107,501,836,774,833,662,591,428,139,207,156,80,87])).
% 135.35/135.51 cnf(868,plain,
% 135.35/135.51 (P4(f52(f52(a56,a56),f52(a56,a56)))),
% 135.35/135.51 inference(scs_inference,[],[298,107,501,836,774,438,833,662,591,428,139,207,156,80,87,173,172,174])).
% 135.35/135.51 cnf(870,plain,
% 135.35/135.51 (P5(f31(a1,a1),a56)),
% 135.35/135.51 inference(scs_inference,[],[298,107,448,501,836,774,438,833,662,591,428,139,207,156,80,87,173,172,174,227])).
% 135.35/135.51 cnf(872,plain,
% 135.35/135.51 (P4(f50(f52(a56,a56),f52(a56,a56)))),
% 135.35/135.51 inference(scs_inference,[],[298,107,448,501,836,774,438,833,662,591,428,139,207,156,80,87,173,172,174,227,175])).
% 135.35/135.51 cnf(874,plain,
% 135.35/135.51 (P5(f35(a58,a15),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[127,298,107,448,501,836,774,438,833,662,591,428,139,207,156,80,87,173,172,174,227,175,78])).
% 135.35/135.51 cnf(875,plain,
% 135.35/135.51 (P6(a58,f35(a55,a22),f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[127,298,107,448,501,836,774,438,833,662,668,591,428,139,207,156,80,87,173,172,174,227,175,78,93])).
% 135.35/135.51 cnf(876,plain,
% 135.35/135.51 (~E(a1,f31(a26,a30))),
% 135.35/135.51 inference(scs_inference,[],[136,127,298,107,111,448,501,836,774,438,833,662,668,591,428,139,207,156,80,87,173,172,174,227,175,78,93,3])).
% 135.35/135.51 cnf(877,plain,
% 135.35/135.51 (~E(f35(a55,a16),f35(a54,a54))),
% 135.35/135.51 inference(scs_inference,[],[136,127,298,107,111,448,501,836,774,832,438,833,662,668,591,428,139,207,156,80,87,173,172,174,227,175,78,93,3,2])).
% 135.35/135.51 cnf(880,plain,
% 135.35/135.51 (P5(f31(a55,a57),a56)),
% 135.35/135.51 inference(scs_inference,[],[136,127,126,298,107,297,111,109,448,780,501,836,774,832,438,833,662,668,591,428,139,207,156,80,87,173,172,174,227,175,78,93,3,2,295,236])).
% 135.35/135.51 cnf(885,plain,
% 135.35/135.51 (P5(f35(a33,a33),f51(a33))),
% 135.35/135.51 inference(scs_inference,[],[136,127,126,298,107,297,111,109,448,780,501,836,774,832,438,833,662,668,628,591,428,630,399,139,207,156,80,87,173,172,174,227,175,78,93,3,2,295,236,177,79])).
% 135.35/135.51 cnf(898,plain,
% 135.35/135.51 (P1(a27)),
% 135.35/135.51 inference(scs_inference,[],[108,297,109,257,156])).
% 135.35/135.51 cnf(900,plain,
% 135.35/135.51 (P5(f35(a25,f31(a32,a34)),a56)),
% 135.35/135.51 inference(scs_inference,[],[298,108,297,109,257,156,207])).
% 135.35/135.51 cnf(902,plain,
% 135.35/135.51 (P7(f36(a33))),
% 135.35/135.51 inference(scs_inference,[],[298,108,297,109,692,426,257,156,207,142])).
% 135.35/135.51 cnf(904,plain,
% 135.35/135.51 (P5(f31(f31(a27,a27),f31(a27,a27)),a56)),
% 135.35/135.51 inference(scs_inference,[],[298,108,297,109,564,692,426,257,156,207,142,227])).
% 135.35/135.51 cnf(918,plain,
% 135.35/135.51 (P4(f52(f51(a15),f51(a15)))),
% 135.35/135.51 inference(scs_inference,[],[298,108,297,102,109,564,686,713,690,692,426,257,156,207,142,227,226,173,172,208,242,241,174])).
% 135.35/135.51 cnf(922,plain,
% 135.35/135.51 (P4(f50(f51(a15),f51(a15)))),
% 135.35/135.51 inference(scs_inference,[],[298,108,297,102,109,564,686,713,690,692,426,257,156,207,142,227,226,173,172,208,242,241,174,258,175])).
% 135.35/135.51 cnf(925,plain,
% 135.35/135.51 (E(a55,f35(a58,a2))),
% 135.35/135.51 inference(scs_inference,[],[117,113,298,108,297,102,109,564,686,877,713,690,692,426,257,156,207,142,227,226,173,172,208,242,241,174,258,175,3,2])).
% 135.35/135.51 cnf(928,plain,
% 135.35/135.51 (P8(f35(a58,a15),a1)),
% 135.35/135.51 inference(scs_inference,[],[117,127,126,113,298,108,297,102,128,129,111,109,97,729,564,686,795,877,713,863,690,692,426,625,257,156,207,142,227,226,173,172,208,242,241,174,258,175,3,2,278,171])).
% 135.35/135.51 cnf(930,plain,
% 135.35/135.51 (P1(f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[117,127,126,113,298,108,297,102,128,129,111,109,97,729,564,686,795,877,713,863,690,692,426,625,257,156,207,142,227,226,173,172,208,242,241,174,258,175,3,2,278,171,157])).
% 135.35/135.51 cnf(933,plain,
% 135.35/135.51 (E(f35(x9331,f35(a58,a15)),f35(x9331,a57))),
% 135.35/135.51 inference(rename_variables,[],[777])).
% 135.35/135.51 cnf(935,plain,
% 135.35/135.51 (P5(f35(a25,a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[117,127,126,113,298,108,297,102,128,129,111,110,109,97,729,564,686,777,795,877,713,863,690,692,426,625,257,156,207,142,227,226,173,172,208,242,241,174,258,175,3,2,278,171,157,181,220])).
% 135.35/135.51 cnf(940,plain,
% 135.35/135.51 (P8(a55,a55)),
% 135.35/135.51 inference(scs_inference,[],[114,117,127,126,113,298,108,297,99,102,128,129,106,111,110,109,97,729,564,686,777,933,795,877,713,863,690,692,426,625,257,156,207,142,227,226,173,172,208,242,241,174,258,175,3,2,278,171,157,181,220,179,197])).
% 135.35/135.51 cnf(948,plain,
% 135.35/135.51 (P2(a58,f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[99,849,930,249])).
% 135.35/135.51 cnf(952,plain,
% 135.35/135.51 (~E(f37(f37(f37(a27))),a1)),
% 135.35/135.51 inference(scs_inference,[],[99,849,930,660,658,249,176,154])).
% 135.35/135.51 cnf(955,plain,
% 135.35/135.51 (P8(a58,f35(a58,a2))),
% 135.35/135.51 inference(scs_inference,[],[120,99,122,849,930,925,660,658,249,176,154,88,82])).
% 135.35/135.51 cnf(958,plain,
% 135.35/135.51 (P8(f35(a58,a2),a55)),
% 135.35/135.51 inference(scs_inference,[],[120,105,99,122,849,930,925,940,660,658,249,176,154,88,82,257,81])).
% 135.35/135.51 cnf(971,plain,
% 135.35/135.51 (E(f35(f35(a16,a16),a16),f35(a16,f35(a16,a16)))),
% 135.35/135.51 inference(scs_inference,[],[120,298,105,99,122,110,849,841,413,930,925,898,940,660,658,625,249,176,154,88,82,257,81,142,241,220,208,226,78,242])).
% 135.35/135.51 cnf(975,plain,
% 135.35/135.51 (P6(a58,f35(a58,a2),a57)),
% 135.35/135.51 inference(scs_inference,[],[133,120,298,105,99,122,110,849,841,413,930,925,898,940,660,658,625,249,176,154,88,82,257,81,142,241,220,208,226,78,242,258,92])).
% 135.35/135.51 cnf(977,plain,
% 135.35/135.51 (~E(f31(a32,a34),a1)),
% 135.35/135.51 inference(scs_inference,[],[299,115,133,120,298,105,99,122,110,849,841,413,930,925,898,940,795,660,658,625,249,176,154,88,82,257,81,142,241,220,208,226,78,242,258,92,3,2])).
% 135.35/135.51 cnf(982,plain,
% 135.35/135.51 (P5(f37(a33),a56)),
% 135.35/135.51 inference(scs_inference,[],[299,115,116,133,120,298,105,100,99,122,108,110,849,841,413,930,925,898,940,795,660,658,692,426,625,119,249,176,154,88,82,257,81,142,241,220,208,226,78,242,258,92,3,2,231,261,163])).
% 135.35/135.51 cnf(988,plain,
% 135.35/135.51 (P2(f35(a55,a22),a1)),
% 135.35/135.51 inference(scs_inference,[],[299,115,116,133,120,298,105,100,99,122,108,110,97,849,841,413,930,689,925,898,940,795,660,658,690,692,426,625,119,249,176,154,88,82,257,81,142,241,220,208,226,78,242,258,92,3,2,231,261,163,177,183,191])).
% 135.35/135.51 cnf(992,plain,
% 135.35/135.51 (P1(f31(a26,a30))),
% 135.35/135.51 inference(scs_inference,[],[299,115,116,133,120,298,105,100,99,122,108,110,97,849,841,413,930,587,689,925,898,940,795,660,658,690,692,426,625,119,249,176,154,88,82,257,81,142,241,220,208,226,78,242,258,92,3,2,231,261,163,177,183,191,182,77])).
% 135.35/135.51 cnf(1005,plain,
% 135.35/135.51 (P5(f41(f37(a33)),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[982,729,795,230])).
% 135.35/135.51 cnf(1007,plain,
% 135.35/135.51 (P5(f38(f37(a33)),a56)),
% 135.35/135.51 inference(scs_inference,[],[982,729,795,230,222])).
% 135.35/135.51 cnf(1009,plain,
% 135.35/135.51 (~E(f38(f37(a33)),a1)),
% 135.35/135.51 inference(scs_inference,[],[982,729,795,230,222,206])).
% 135.35/135.51 cnf(1013,plain,
% 135.35/135.51 (P5(f40(f37(a33)),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[297,982,729,795,625,230,222,206,265,229])).
% 135.35/135.51 cnf(1021,plain,
% 135.35/135.51 (P2(a55,a1)),
% 135.35/135.51 inference(scs_inference,[],[114,297,110,880,948,982,988,729,930,898,795,625,230,222,206,265,229,171,261,237,87])).
% 135.35/135.51 cnf(1039,plain,
% 135.35/135.51 (E(a56,f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[97,135,132,114,100,297,110,880,614,948,982,988,729,585,930,898,795,625,230,222,206,265,229,171,261,237,87,183,182,241,257,208,242,258,226,3,2])).
% 135.35/135.51 cnf(1040,plain,
% 135.35/135.51 (P4(f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[97,135,132,114,100,297,110,880,614,948,982,988,729,585,930,898,795,625,230,222,206,265,229,171,261,237,87,183,182,241,257,208,242,258,226,3,2,425])).
% 135.35/135.51 cnf(1043,plain,
% 135.35/135.51 (P3(f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[97,135,132,114,298,100,297,110,109,880,614,948,977,982,988,729,585,930,898,306,308,795,415,692,625,230,222,206,265,229,171,261,237,87,183,182,241,257,208,242,258,226,3,2,425,273,80])).
% 135.35/135.51 cnf(1044,plain,
% 135.35/135.51 (P2(a55,a55)),
% 135.35/135.51 inference(scs_inference,[],[97,135,132,114,298,100,297,99,110,109,880,614,948,977,982,988,729,585,930,898,306,308,940,795,415,692,625,230,222,206,265,229,171,261,237,87,183,182,241,257,208,242,258,226,3,2,425,273,80,191])).
% 135.35/135.51 cnf(1046,plain,
% 135.35/135.51 (P5(f35(a1,a27),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[97,135,134,132,114,298,100,297,99,110,109,880,614,948,977,982,988,729,585,930,898,306,308,940,795,415,692,625,230,222,206,265,229,171,261,237,87,183,182,241,257,208,242,258,226,3,2,425,273,80,191,220])).
% 135.35/135.51 cnf(1058,plain,
% 135.35/135.51 (~E(f37(f31(a32,a34)),a1)),
% 135.35/135.51 inference(scs_inference,[],[298,977,154])).
% 135.35/135.51 cnf(1062,plain,
% 135.35/135.51 (P5(f31(a27,a27),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[134,298,1040,977,154,176,237])).
% 135.35/135.51 cnf(1064,plain,
% 135.35/135.51 (P6(a58,f35(a58,a2),f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[134,298,1040,977,849,925,154,176,237,92])).
% 135.35/135.51 cnf(1065,plain,
% 135.35/135.51 (E(f35(a57,a25),f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[134,116,298,1040,977,849,833,925,154,176,237,92,3])).
% 135.35/135.51 cnf(1069,plain,
% 135.35/135.51 (~P9(f36(a33),f36(f38(f37(a33))))),
% 135.35/135.51 inference(scs_inference,[],[134,116,114,298,106,99,1040,1009,977,849,833,306,308,925,982,415,729,795,692,154,176,237,92,3,2,210,273])).
% 135.35/135.51 cnf(1071,plain,
% 135.35/135.51 (P5(f37(f31(a32,a34)),a56)),
% 135.35/135.51 inference(scs_inference,[],[134,116,114,298,106,99,1040,1009,977,849,833,306,308,925,982,415,729,795,692,154,176,237,92,3,2,210,273,163])).
% 135.35/135.51 cnf(1073,plain,
% 135.35/135.51 (P1(f35(a58,a2))),
% 135.35/135.51 inference(scs_inference,[],[134,116,114,298,106,99,1040,1009,977,849,833,306,308,925,982,415,729,795,692,154,176,237,92,3,2,210,273,163,77])).
% 135.35/135.51 cnf(1101,plain,
% 135.35/135.51 (P4(f51(a54))),
% 135.35/135.51 inference(scs_inference,[],[98,127,102,297,148,150,187,170,169,149,144,141])).
% 135.35/135.51 cnf(1113,plain,
% 135.35/135.51 (E(f31(a1,a58),a58)),
% 135.35/135.51 inference(scs_inference,[],[98,126,127,102,297,148,150,187,170,169,149,144,141,140,158,153,152,151,146])).
% 135.35/135.51 cnf(1121,plain,
% 135.35/135.51 (E(f35(a54,a58),a58)),
% 135.35/135.51 inference(scs_inference,[],[98,126,127,102,297,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147])).
% 135.35/135.51 cnf(1140,plain,
% 135.35/135.51 (E(f31(x11401,a33),f31(x11401,f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5])).
% 135.35/135.51 cnf(1141,plain,
% 135.35/135.51 (E(f31(f20(a1),f21(a1)),a1)),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188])).
% 135.35/135.51 cnf(1178,plain,
% 135.35/135.51 (E(f51(a33),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19])).
% 135.35/135.51 cnf(1185,plain,
% 135.35/135.51 (E(f35(x11851,a33),f35(x11851,f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9])).
% 135.35/135.51 cnf(1186,plain,
% 135.35/135.51 (E(f35(a33,x11861),f35(f31(a32,a34),x11861))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8])).
% 135.35/135.51 cnf(1187,plain,
% 135.35/135.51 (E(f31(a33,x11871),f31(f31(a32,a34),x11871))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4])).
% 135.35/135.51 cnf(1206,plain,
% 135.35/135.51 (P8(f35(a58,a2),f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,958,665,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82])).
% 135.35/135.51 cnf(1207,plain,
% 135.35/135.51 (P8(a54,a54)),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,958,665,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197])).
% 135.35/135.51 cnf(1210,plain,
% 135.35/135.51 (P8(f35(a55,a22),a55)),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,1044,958,665,940,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81])).
% 135.35/135.51 cnf(1211,plain,
% 135.35/135.51 (P2(a54,a54)),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,127,102,297,448,1044,958,665,940,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81,191])).
% 135.35/135.51 cnf(1214,plain,
% 135.35/135.51 (E(a1,f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,113,127,102,297,952,448,1044,958,665,940,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81,191,3,2])).
% 135.35/135.51 cnf(1218,plain,
% 135.35/135.51 (E(f35(f31(a32,a34),f12(f31(a32,a34),f51(a33),f35(a33,a33))),f35(a33,a33))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,113,116,127,102,297,100,108,885,902,952,448,1044,958,478,665,940,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81,191,3,2,221,96,270])).
% 135.35/135.51 cnf(1220,plain,
% 135.35/135.51 (P9(f36(f37(a33)),f36(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,113,116,127,102,297,100,108,885,902,952,448,1044,958,478,665,940,729,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81,191,3,2,221,96,270,90])).
% 135.35/135.51 cnf(1221,plain,
% 135.35/135.51 (P5(f31(a32,a34),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[98,296,126,113,116,127,102,297,298,100,108,885,902,952,1039,448,1044,958,478,665,940,729,148,150,187,170,169,149,144,141,140,158,153,152,151,146,185,161,186,147,160,75,73,72,66,59,52,43,41,39,31,26,21,20,10,7,5,188,184,159,143,74,71,69,65,64,63,58,57,56,54,51,50,49,48,47,46,45,44,38,37,34,33,32,30,28,27,25,24,23,19,17,16,15,14,12,11,9,8,4,76,70,68,67,62,61,60,55,53,42,40,36,35,29,22,18,13,6,82,197,88,81,191,3,2,221,96,270,90,79])).
% 135.35/135.51 cnf(1234,plain,
% 135.35/135.51 (P5(f31(a1,a57),a56)),
% 135.35/135.51 inference(scs_inference,[],[124,868,874,780,139,236])).
% 135.35/135.51 cnf(1237,plain,
% 135.35/135.51 (~E(f35(a54,f31(a32,a34)),a1)),
% 135.35/135.51 inference(scs_inference,[],[98,124,868,874,780,977,478,497,139,236,162])).
% 135.35/135.51 cnf(1239,plain,
% 135.35/135.51 (P5(f35(a33,f31(a32,a34)),f51(a33))),
% 135.35/135.51 inference(scs_inference,[],[98,124,868,410,1178,874,780,977,478,497,139,236,162,202])).
% 135.35/135.51 cnf(1243,plain,
% 135.35/135.51 (E(f35(x12431,a33),f35(x12431,f31(a32,a34)))),
% 135.35/135.51 inference(rename_variables,[],[1185])).
% 135.35/135.51 cnf(1248,plain,
% 135.35/135.51 (P8(a54,a58)),
% 135.35/135.51 inference(scs_inference,[],[98,124,102,868,410,1185,1243,1178,874,1121,780,977,478,426,497,139,236,162,202,181,179,197])).
% 135.35/135.51 cnf(1269,plain,
% 135.35/135.51 (P1(f35(a33,f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[99,297,1239,477,207,156])).
% 135.35/135.51 cnf(1273,plain,
% 135.35/135.51 (~E(f35(a27,a27),a1)),
% 135.35/135.51 inference(scs_inference,[],[99,297,1239,477,1178,898,478,625,207,156,268,162])).
% 135.35/135.51 cnf(1285,plain,
% 135.35/135.51 (P2(f35(a55,a16),a1)),
% 135.35/135.51 inference(scs_inference,[],[99,297,610,485,1239,1101,1214,477,1178,898,478,625,207,156,268,162,227,173,172,175,174,87])).
% 135.35/135.51 cnf(1287,plain,
% 135.35/135.51 (E(f35(a57,a23),f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[99,115,125,297,610,485,1239,1101,1214,477,1178,898,478,625,207,156,268,162,227,173,172,175,174,87,78,3])).
% 135.35/135.51 cnf(1288,plain,
% 135.35/135.51 (E(a1,f35(a57,a23))),
% 135.35/135.51 inference(scs_inference,[],[99,115,125,297,610,485,1239,1101,1214,477,1178,898,478,625,207,156,268,162,227,173,172,175,174,87,78,3,2])).
% 135.35/135.51 cnf(1291,plain,
% 135.35/135.51 (P8(a15,a15)),
% 135.35/135.51 inference(scs_inference,[],[99,115,125,297,104,610,485,1239,1101,707,1214,477,1178,1044,898,478,625,98,207,156,268,162,227,173,172,175,174,87,78,3,2,201,197])).
% 135.35/135.51 cnf(1293,plain,
% 135.35/135.51 (P5(f35(a33,f31(a32,a34)),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[99,115,125,297,104,610,485,1239,1101,707,1214,477,1178,1044,898,478,625,98,207,156,268,162,227,173,172,175,174,87,78,3,2,201,197,79])).
% 135.35/135.51 cnf(1308,plain,
% 135.35/135.51 (P1(f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[1285,97,157])).
% 135.35/135.51 cnf(1312,plain,
% 135.35/135.51 (P5(f35(a55,f31(a32,a34)),a56)),
% 135.35/135.51 inference(scs_inference,[],[99,115,298,100,107,1285,774,97,157,202,207])).
% 135.35/135.51 cnf(1314,plain,
% 135.35/135.51 (P1(a30)),
% 135.35/135.51 inference(scs_inference,[],[99,115,129,298,100,107,1285,774,862,97,157,202,207,156])).
% 135.35/135.51 cnf(1318,plain,
% 135.35/135.51 (P4(f50(f50(a56,a56),f50(a56,a56)))),
% 135.35/135.51 inference(scs_inference,[],[99,115,129,298,106,100,107,1285,436,774,862,97,157,202,207,156,172,175])).
% 135.35/135.51 cnf(1324,plain,
% 135.35/135.51 (P4(f52(f50(a56,a56),f50(a56,a56)))),
% 135.35/135.51 inference(scs_inference,[],[99,115,129,298,106,100,107,870,1285,436,774,862,97,157,202,207,156,172,175,227,173,174])).
% 135.35/135.51 cnf(1326,plain,
% 135.35/135.51 (~E(f35(a54,f31(a32,a34)),f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[99,113,115,129,298,106,100,107,870,1237,1285,436,774,862,97,157,202,207,156,172,175,227,173,174,3])).
% 135.35/135.51 cnf(1361,plain,
% 135.35/135.51 (~E(f37(f37(f31(a32,a34))),a1)),
% 135.35/135.51 inference(scs_inference,[],[1071,1058,154])).
% 135.35/135.51 cnf(1367,plain,
% 135.35/135.51 (P5(f35(f31(a32,a34),a57),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[100,104,1186,1071,1058,399,426,154,176,257,202])).
% 135.35/135.51 cnf(1368,plain,
% 135.35/135.51 (E(f35(a33,x13681),f35(f31(a32,a34),x13681))),
% 135.35/135.51 inference(rename_variables,[],[1186])).
% 135.35/135.51 cnf(1375,plain,
% 135.35/135.51 (E(f31(f35(a15,a15),f35(a15,a15)),f35(f31(a15,a15),a15))),
% 135.35/135.51 inference(scs_inference,[],[100,132,104,1186,1071,1058,399,426,154,176,257,202,5,242,241,258])).
% 135.35/135.51 cnf(1381,plain,
% 135.35/135.51 (P2(a55,f35(a57,a23))),
% 135.35/135.51 inference(scs_inference,[],[100,304,132,104,1186,1021,1071,1288,1058,399,426,99,97,154,176,257,202,5,242,241,258,208,226,88])).
% 135.35/135.51 cnf(1383,plain,
% 135.35/135.51 (P5(f35(a57,a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[100,304,132,297,104,110,1186,1021,1071,1288,1058,399,426,99,97,154,176,257,202,5,242,241,258,208,226,88,82,220])).
% 135.35/135.51 cnf(1386,plain,
% 135.35/135.51 (P5(f35(f31(a32,a34),f31(a32,a34)),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[100,304,132,117,297,104,110,1186,1368,1293,1021,1206,1071,1288,1058,399,426,99,97,154,176,257,202,5,242,241,258,208,226,88,82,220,81,78])).
% 135.35/135.51 cnf(1390,plain,
% 135.35/135.51 (E(a57,f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[100,304,136,132,117,116,297,104,110,1186,1368,479,1293,1021,1206,1071,1288,1039,1058,399,426,99,97,154,176,257,202,5,242,241,258,208,226,88,82,220,81,78,79,3,2])).
% 135.35/135.51 cnf(1413,plain,
% 135.35/135.51 (P2(a54,a58)),
% 135.35/135.51 inference(scs_inference,[],[107,102,104,1248,1291,98,241,258,257,208,242,191])).
% 135.35/135.51 cnf(1417,plain,
% 135.35/135.51 (P2(f35(a57,a25),a1)),
% 135.35/135.51 inference(scs_inference,[],[107,102,104,1248,1390,1291,662,98,241,258,257,208,242,191,226,87])).
% 135.35/135.51 cnf(1420,plain,
% 135.35/135.51 (E(f35(a55,a22),f35(a58,a2))),
% 135.35/135.51 inference(scs_inference,[],[114,127,107,102,104,1248,1386,1390,1291,662,925,399,98,241,258,257,208,242,191,226,87,78,79,3])).
% 135.35/135.51 cnf(1424,plain,
% 135.35/135.51 (P8(f35(a55,a16),a1)),
% 135.35/135.51 inference(scs_inference,[],[114,127,107,102,104,1248,1386,1326,1390,1291,662,1285,1044,925,399,98,97,241,258,257,208,242,191,226,87,78,79,3,2,194,171])).
% 135.35/135.51 cnf(1426,plain,
% 135.35/135.51 (P5(f37(f38(f37(a33))),a56)),
% 135.35/135.51 inference(scs_inference,[],[114,127,107,102,104,1248,1386,1326,1390,1291,662,1285,1007,1009,1044,925,399,98,97,241,258,257,208,242,191,226,87,78,79,3,2,194,171,163])).
% 135.35/135.51 cnf(1428,plain,
% 135.35/135.51 (P6(a58,a55,f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[133,114,127,107,102,104,1248,1386,1326,1390,1291,662,1285,1007,1009,1044,925,399,98,97,241,258,257,208,242,191,226,87,78,79,3,2,194,171,163,93])).
% 135.35/135.51 cnf(1447,plain,
% 135.35/135.51 (P5(f44(a33),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[308,306,415,692,244])).
% 135.35/135.51 cnf(1451,plain,
% 135.35/135.51 (P4(f51(a58))),
% 135.35/135.51 inference(scs_inference,[],[102,308,306,415,692,244,148,141])).
% 135.35/135.51 cnf(1498,plain,
% 135.35/135.51 (P1(f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157])).
% 135.35/135.51 cnf(1518,plain,
% 135.35/135.51 (E(f50(x15181,f52(f51(a55),f51(a57))),f50(x15181,a56))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27])).
% 135.35/135.51 cnf(1519,plain,
% 135.35/135.51 (E(f50(f52(f51(a55),f51(a57)),x15191),f50(a56,x15191))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26])).
% 135.35/135.51 cnf(1528,plain,
% 135.35/135.51 (E(f52(x15281,f52(f51(a55),f51(a57))),f52(x15281,a56))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7])).
% 135.35/135.51 cnf(1557,plain,
% 135.35/135.51 (~E(f37(f38(f37(a33))),a1)),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,1007,1009,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154])).
% 135.35/135.51 cnf(1568,plain,
% 135.35/135.51 (E(f52(f52(f51(a55),f51(a57)),x15681),f52(a56,x15681))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,1312,1417,1007,1009,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6])).
% 135.35/135.51 cnf(1571,plain,
% 135.35/135.51 (P5(f35(a58,a2),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,106,1312,1420,1417,628,1007,630,1009,415,692,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179])).
% 135.35/135.51 cnf(1587,plain,
% 135.35/135.51 (P6(a58,f35(a58,a2),f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[102,308,132,306,103,106,108,1312,1065,1420,1417,1424,1308,975,628,774,1007,630,1009,1390,415,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93])).
% 135.35/135.51 cnf(1588,plain,
% 135.35/135.51 (P2(a58,f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[102,123,308,132,306,103,106,108,1312,1065,1420,1417,1424,1308,975,628,774,1007,630,1009,1390,415,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88])).
% 135.35/135.51 cnf(1590,plain,
% 135.35/135.51 (E(a58,f35(a58,f18(a58)))),
% 135.35/135.51 inference(scs_inference,[],[102,123,308,132,306,115,103,106,108,444,1312,1065,1420,1361,1417,1424,1308,975,628,774,1007,630,1009,1390,415,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2])).
% 135.35/135.51 cnf(1593,plain,
% 135.35/135.51 (P5(f43(a33),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[102,123,308,132,306,115,103,106,108,444,1312,1065,1420,1361,1417,1424,1308,975,628,1210,774,1007,630,1009,1390,690,415,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243])).
% 135.35/135.51 cnf(1595,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),a55,a57)),
% 135.35/135.51 inference(scs_inference,[],[102,123,133,308,132,306,115,103,106,108,444,1312,1065,1420,1361,1417,1424,1308,975,628,1210,774,1007,630,1009,1390,690,415,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243,91])).
% 135.35/135.51 cnf(1596,plain,
% 135.35/135.51 (~E(f37(f37(a33)),a1)),
% 135.35/135.51 inference(scs_inference,[],[102,123,133,308,132,306,115,103,106,108,444,731,1312,1065,1420,1361,1417,1424,1308,975,628,1210,774,1007,630,1009,1390,690,415,795,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243,91,232])).
% 135.35/135.51 cnf(1603,plain,
% 135.35/135.51 (P8(a57,a57)),
% 135.35/135.51 inference(scs_inference,[],[102,123,133,308,132,306,115,116,103,106,108,444,731,1312,1065,1420,1361,1417,1424,1308,975,874,628,1210,780,774,1007,630,1009,1390,690,415,795,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243,91,232,236,171,197])).
% 135.35/135.51 cnf(1607,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a58,a2),a57)),
% 135.35/135.51 inference(scs_inference,[],[102,123,133,308,132,306,115,116,103,106,108,104,444,731,1312,1065,1420,1361,1417,1424,1308,975,874,628,1210,1291,780,774,1007,630,1009,1390,690,415,925,795,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243,91,232,236,171,197,191,92])).
% 135.35/135.51 cnf(1608,plain,
% 135.35/135.51 (P5(f35(a55,a22),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[102,123,133,308,132,306,115,116,103,106,108,104,444,731,691,1312,1065,1420,1361,1417,1424,1308,975,874,628,1210,1291,780,774,1007,630,1009,1390,690,415,925,795,692,100,97,244,148,141,158,153,151,150,144,185,161,169,187,186,170,149,140,152,184,146,159,143,160,75,72,41,31,21,147,157,74,73,71,69,66,59,58,52,51,49,48,44,43,39,37,34,32,28,27,26,23,20,16,15,12,10,9,8,7,4,68,65,64,63,61,60,57,56,55,54,50,47,46,45,42,38,35,33,30,29,25,24,19,17,14,13,11,154,76,70,67,62,53,40,36,22,18,6,176,179,202,241,257,242,258,226,208,93,88,3,2,199,243,91,232,236,171,197,191,92,78])).
% 135.35/135.51 cnf(1622,plain,
% 135.35/135.51 (E(f50(x16221,f52(f51(a55),f51(a57))),f50(x16221,a56))),
% 135.35/135.51 inference(rename_variables,[],[1518])).
% 135.35/135.51 cnf(1624,plain,
% 135.35/135.51 (P3(f52(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.51 inference(scs_inference,[],[109,1518,1528,167,166])).
% 135.35/135.51 cnf(1625,plain,
% 135.35/135.51 (E(f52(x16251,f52(f51(a55),f51(a57))),f52(x16251,a56))),
% 135.35/135.51 inference(rename_variables,[],[1528])).
% 135.35/135.51 cnf(1627,plain,
% 135.35/135.51 (P5(f31(a33,a27),f52(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.51 inference(scs_inference,[],[297,298,109,1518,1528,1625,414,167,166,254])).
% 135.35/135.51 cnf(1634,plain,
% 135.35/135.51 (P2(f35(a58,f18(a58)),a57)),
% 135.35/135.51 inference(scs_inference,[],[297,298,109,1518,1519,1528,1625,1607,414,1073,100,167,166,254,239,249])).
% 135.35/135.51 cnf(1638,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a58,a2),f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[297,298,109,1318,1518,1519,1528,1625,1587,1607,1590,414,1073,100,167,166,254,239,249,139,91])).
% 135.35/135.51 cnf(1639,plain,
% 135.35/135.51 (P3(f50(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[297,298,109,1318,1518,1622,1519,1528,1625,1587,1607,1590,414,1073,100,167,166,254,239,249,139,91,80])).
% 135.35/135.51 cnf(1642,plain,
% 135.35/135.51 (P8(f35(a58,f18(a58)),a58)),
% 135.35/135.51 inference(scs_inference,[],[300,297,298,109,1318,1518,1622,1519,1528,1625,1587,1607,1590,414,1073,100,167,166,254,239,249,139,91,80,82,81])).
% 135.35/135.51 cnf(1643,plain,
% 135.35/135.51 (P2(a55,f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[300,297,298,109,1318,1518,1622,1519,1528,1625,1587,1607,1287,1590,1381,414,1073,100,167,166,254,239,249,139,91,80,82,81,88])).
% 135.35/135.51 cnf(1671,plain,
% 135.35/135.51 (P2(f35(a58,f18(a58)),f35(a58,a2))),
% 135.35/135.51 inference(scs_inference,[],[1638,1498,1073,250])).
% 135.35/135.51 cnf(1674,plain,
% 135.35/135.51 (E(f52(f52(f51(a55),f51(a57)),x16741),f52(a56,x16741))),
% 135.35/135.51 inference(rename_variables,[],[1568])).
% 135.35/135.51 cnf(1679,plain,
% 135.35/135.51 (P8(a58,f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[298,109,1568,1638,1588,1498,1518,1073,250,166,239,171])).
% 135.35/135.51 cnf(1682,plain,
% 135.35/135.51 (E(f35(a1,a54),f35(a55,a16))),
% 135.35/135.51 inference(scs_inference,[],[310,302,298,109,1568,1638,1588,1498,1518,1590,1073,1214,250,166,239,171,87,3])).
% 135.35/135.51 cnf(1683,plain,
% 135.35/135.51 (E(a1,f35(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[310,302,298,109,1568,1638,1588,1498,1518,1590,1073,1214,250,166,239,171,87,3,2])).
% 135.35/135.51 cnf(1686,plain,
% 135.35/135.51 (P5(f37(f37(a33)),a56)),
% 135.35/135.51 inference(scs_inference,[],[103,310,302,298,109,1568,1638,1447,1588,1593,1498,1518,731,1590,1073,1214,1044,795,250,166,239,171,87,3,2,205,240])).
% 135.35/135.51 cnf(1690,plain,
% 135.35/135.51 (P3(f52(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[103,310,302,298,109,1062,1568,1674,1638,1447,1588,1593,1498,1518,731,1590,1040,1073,1214,1044,795,250,166,239,171,87,3,2,205,240,237,80])).
% 135.35/135.51 cnf(1708,plain,
% 135.35/135.51 (P5(f31(a32,a34),f50(f52(f51(a55),f51(a57)),a56))),
% 135.35/135.51 inference(scs_inference,[],[103,298,109,1519,1593,1447,731,426,795,692,261,243,239])).
% 135.35/135.51 cnf(1717,plain,
% 135.35/135.51 (P5(f35(a2,a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[103,297,298,109,1221,1519,1593,1447,731,1040,977,478,426,795,692,261,243,239,183,182,237,207])).
% 135.35/135.51 cnf(1733,plain,
% 135.35/135.51 (P2(f35(a1,a54),a1)),
% 135.35/135.51 inference(scs_inference,[],[103,105,297,298,109,1624,1221,1627,1451,1683,446,1643,1519,1593,610,1447,731,1308,1040,977,478,426,795,692,261,243,239,183,182,237,207,227,156,173,172,175,174,171,87])).
% 135.35/135.51 cnf(1734,plain,
% 135.35/135.51 (~E(f37(f38(f37(a33))),f35(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[103,310,105,297,298,109,1624,1221,1627,1451,1683,1557,446,1643,1519,1593,610,1447,731,1308,1040,977,478,426,795,692,261,243,239,183,182,237,207,227,156,173,172,175,174,171,87,3])).
% 135.35/135.51 cnf(1773,plain,
% 135.35/135.51 (P1(f8(f31(a32,a34),f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[977,478,426,692,261,183])).
% 135.35/135.51 cnf(1783,plain,
% 135.35/135.51 (P1(f35(a15,a15))),
% 135.35/135.51 inference(scs_inference,[],[104,306,298,1383,862,977,478,426,692,261,183,207,182,227,156,173])).
% 135.35/135.51 cnf(1788,plain,
% 135.35/135.51 (~E(f35(a1,a54),a54)),
% 135.35/135.51 inference(scs_inference,[],[104,135,117,306,298,1383,1683,1638,862,977,478,426,692,261,183,207,182,227,156,173,172,92,3])).
% 135.35/135.51 cnf(1789,plain,
% 135.35/135.51 (E(a1,f31(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,117,306,298,1383,1683,1638,862,977,478,426,692,261,183,207,182,227,156,173,172,92,3,2])).
% 135.35/135.51 cnf(1792,plain,
% 135.35/135.51 (P8(f35(a58,f18(a58)),f35(a58,f18(a58)))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,114,117,306,106,298,1671,1383,1683,1638,1607,1634,1073,862,977,478,426,692,99,100,261,183,207,182,227,156,173,172,92,3,2,231,272])).
% 135.35/135.51 cnf(1794,plain,
% 135.35/135.51 (P1(f35(a58,f18(a58)))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,114,117,306,106,298,1671,1383,1683,1638,1607,1634,1073,862,977,478,426,692,99,100,261,183,207,182,227,156,173,172,92,3,2,231,272,157])).
% 135.35/135.51 cnf(1796,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a58,a2),f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,114,117,306,106,298,1671,1383,1064,1683,1638,1607,1634,1073,862,1590,977,478,426,692,99,100,261,183,207,182,227,156,173,172,92,3,2,231,272,157,91])).
% 135.35/135.51 cnf(1797,plain,
% 135.35/135.51 (P5(f35(a15,a27),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,114,117,134,306,106,298,1671,1383,1064,1683,1638,1607,1634,1073,862,1590,1040,977,478,426,692,99,100,261,183,207,182,227,156,173,172,92,3,2,231,272,157,91,220])).
% 135.35/135.51 cnf(1799,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),a55,f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[104,312,135,114,117,134,306,106,298,1671,1383,1595,1064,1683,1638,1607,1634,833,1073,862,1590,1040,977,478,426,692,99,100,261,183,207,182,227,156,173,172,92,3,2,231,272,157,91,220,93])).
% 135.35/135.51 cnf(1811,plain,
% 135.35/135.51 (~E(f37(f37(f37(a33))),a1)),
% 135.35/135.51 inference(scs_inference,[],[1686,1596,176,154])).
% 135.35/135.51 cnf(1813,plain,
% 135.35/135.51 (P8(a55,f31(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[304,1789,1686,1596,176,154,82])).
% 135.35/135.51 cnf(1814,plain,
% 135.35/135.51 (P8(f31(a1,a1),a1)),
% 135.35/135.51 inference(scs_inference,[],[304,1789,1686,585,1596,176,154,82,81])).
% 135.35/135.51 cnf(1815,plain,
% 135.35/135.51 (P5(f35(a15,a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[104,304,297,110,1789,1686,585,1596,176,154,82,81,220])).
% 135.35/135.51 cnf(1817,plain,
% 135.35/135.51 (P5(f31(a1,a1),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[104,304,125,297,110,1789,1686,585,1596,176,154,82,81,220,78])).
% 135.35/135.51 cnf(1820,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a55,a22),f35(a58,a15))),
% 135.35/135.51 inference(scs_inference,[],[104,304,125,297,110,1796,1789,1528,1627,691,1686,585,1596,176,154,82,81,220,78,79,92])).
% 135.35/135.51 cnf(1825,plain,
% 135.35/135.51 (P5(f31(f31(a33,a27),f31(a33,a27)),f52(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[104,310,304,125,297,110,1796,1734,1789,656,1528,1627,636,634,691,1686,585,1596,438,630,625,176,154,82,81,220,78,79,92,3,2,274,237])).
% 135.35/135.51 cnf(1827,plain,
% 135.35/135.51 (P5(f37(f37(f37(a33))),a56)),
% 135.35/135.51 inference(scs_inference,[],[104,310,304,125,297,110,1796,1734,1789,656,1528,1627,636,634,691,1686,585,1596,438,630,625,176,154,82,81,220,78,79,92,3,2,274,237,163])).
% 135.35/135.51 cnf(1831,plain,
% 135.35/135.51 (P2(f35(a58,f18(a58)),a55)),
% 135.35/135.51 inference(scs_inference,[],[104,310,304,122,125,297,110,1796,1734,1773,368,1789,656,1528,1627,636,634,691,1686,585,1596,438,630,1590,625,176,154,82,81,220,78,79,92,3,2,274,237,163,77,87])).
% 135.35/135.51 cnf(1940,plain,
% 135.35/135.51 (E(f31(f35(a54,a1),x19401),f31(a1,x19401))),
% 135.35/135.51 inference(scs_inference,[],[105,314,128,129,904,1831,1634,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4])).
% 135.35/135.51 cnf(1956,plain,
% 135.35/135.51 (E(f51(f35(a54,a1)),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[105,314,128,129,904,1831,1634,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4,76,67,65,63,62,61,60,57,55,54,53,47,40,38,33,19])).
% 135.35/135.51 cnf(1980,plain,
% 135.35/135.51 (P2(f35(a58,f18(a58)),f35(a58,f18(a58)))),
% 135.35/135.51 inference(scs_inference,[],[105,314,128,129,1792,1207,904,1831,1794,1314,1634,98,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4,76,67,65,63,62,61,60,57,55,54,53,47,40,38,33,19,13,11,6,70,36,22,18,241,257,175,258,226,174,242,208,191])).
% 135.35/135.51 cnf(1983,plain,
% 135.35/135.51 (E(a1,f35(a54,a1))),
% 135.35/135.51 inference(scs_inference,[],[105,314,128,129,1792,1207,904,1831,1811,1794,1314,1634,98,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4,76,67,65,63,62,61,60,57,55,54,53,47,40,38,33,19,13,11,6,70,36,22,18,241,257,175,258,226,174,242,208,191,3,2])).
% 135.35/135.51 cnf(1988,plain,
% 135.35/135.51 (P5(f35(a33,a16),f51(a33))),
% 135.35/135.51 inference(scs_inference,[],[105,314,128,129,1792,1207,904,1831,1811,1794,1314,410,1634,958,1178,1073,478,98,97,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4,76,67,65,63,62,61,60,57,55,54,53,47,40,38,33,19,13,11,6,70,36,22,18,241,257,175,258,226,174,242,208,191,3,2,196,145,202])).
% 135.35/135.51 cnf(1991,plain,
% 135.35/135.51 (P5(f35(a16,a27),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[105,314,134,128,129,1792,1207,904,1831,1811,1794,1314,410,1634,958,1178,1040,1073,478,98,97,190,141,153,150,185,187,148,151,144,146,186,158,143,169,161,149,152,184,170,140,159,75,72,41,147,160,69,59,52,51,49,48,34,32,31,28,27,23,21,16,10,7,74,73,71,68,66,64,58,56,50,46,45,44,43,42,39,37,35,30,29,26,25,24,20,17,15,14,12,9,8,4,76,67,65,63,62,61,60,57,55,54,53,47,40,38,33,19,13,11,6,70,36,22,18,241,257,175,258,226,174,242,208,191,3,2,196,145,202,220])).
% 135.35/135.51 cnf(2009,plain,
% 135.35/135.51 (P1(f35(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[1324,1733,97,139,157])).
% 135.35/135.51 cnf(2015,plain,
% 135.35/135.51 (P5(f35(f31(a32,a34),a33),f51(f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[1324,1733,1186,1007,1009,898,399,426,97,139,157,176,257,202])).
% 135.35/135.51 cnf(2022,plain,
% 135.35/135.51 (E(f31(x20221,f31(a1,a1)),f31(x20221,a1))),
% 135.35/135.51 inference(scs_inference,[],[312,1324,1733,1186,1007,1009,898,399,426,97,139,157,176,257,202,241,258,5])).
% 135.35/135.51 cnf(2027,plain,
% 135.35/135.51 (P1(f9(a57,a57))),
% 135.35/135.51 inference(scs_inference,[],[312,1324,1733,1186,1603,1007,1009,898,399,426,100,97,139,157,176,257,202,241,258,5,226,242,208])).
% 135.35/135.51 cnf(2029,plain,
% 135.35/135.51 (P5(f35(a54,a1),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[312,124,1324,1733,1983,1186,1603,1007,1009,898,399,426,100,97,139,157,176,257,202,241,258,5,226,242,208,78])).
% 135.35/135.51 cnf(2030,plain,
% 135.35/135.51 (P2(f35(a1,a54),f35(a54,a1))),
% 135.35/135.51 inference(scs_inference,[],[312,124,1324,1733,1983,1186,1603,1007,1009,898,399,426,100,97,139,157,176,257,202,241,258,5,226,242,208,78,88])).
% 135.35/135.51 cnf(2061,plain,
% 135.35/135.51 (P5(a1,f51(f35(a54,a1)))),
% 135.35/135.51 inference(scs_inference,[],[310,1956,1831,426,99,98,97,257,171,202])).
% 135.35/135.51 cnf(2072,plain,
% 135.35/135.51 (P8(f35(a58,f18(a58)),a57)),
% 135.35/135.51 inference(scs_inference,[],[310,121,304,1814,1956,442,1831,1683,1590,426,99,98,97,257,171,202,258,241,226,82,242,81])).
% 135.35/135.51 cnf(2075,plain,
% 135.35/135.51 (P2(a1,f35(a54,a1))),
% 135.35/135.51 inference(scs_inference,[],[310,121,304,2030,1814,1956,442,1831,1683,1590,426,99,98,97,257,171,202,258,241,226,82,242,81,208,87])).
% 135.35/135.51 cnf(2076,plain,
% 135.35/135.51 (E(f31(a1,a1),f35(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[312,310,121,304,2030,1814,1956,442,1831,1683,1590,426,99,98,97,257,171,202,258,241,226,82,242,81,208,87,3])).
% 135.35/135.51 cnf(2077,plain,
% 135.35/135.51 (E(a54,f31(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[316,312,310,121,304,2030,1814,1956,442,1831,1683,1590,426,99,98,97,257,171,202,258,241,226,82,242,81,208,87,3,2])).
% 135.35/135.51 cnf(2081,plain,
% 135.35/135.51 (~E(f35(f31(a32,a34),f31(a32,a34)),a1)),
% 135.35/135.51 inference(scs_inference,[],[316,312,310,121,304,872,2030,1988,1814,1956,442,1831,1683,1178,1590,977,478,426,99,98,97,257,171,202,258,241,226,82,242,81,208,87,3,2,83,270,162])).
% 135.35/135.51 cnf(2087,plain,
% 135.35/135.51 (P2(a57,a57)),
% 135.35/135.51 inference(scs_inference,[],[316,312,310,121,304,1799,872,2030,1988,1814,1956,442,1831,1683,930,1603,1178,1590,977,478,426,99,100,98,97,257,171,202,258,241,226,82,242,81,208,87,3,2,83,270,162,249,268,191])).
% 135.35/135.51 cnf(2103,plain,
% 135.35/135.51 (P5(f31(a55,a1),a56)),
% 135.35/135.51 inference(scs_inference,[],[126,2022,1817,236])).
% 135.35/135.51 cnf(2106,plain,
% 135.35/135.51 (P2(f31(a1,a1),a1)),
% 135.35/135.51 inference(scs_inference,[],[126,2022,1817,1814,442,97,236,191])).
% 135.35/135.51 cnf(2108,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a55,a22),a57)),
% 135.35/135.51 inference(scs_inference,[],[126,118,1820,2022,1817,1814,442,97,236,191,93])).
% 135.35/135.51 cnf(2110,plain,
% 135.35/135.51 (~E(f35(f31(a32,a34),f31(a32,a34)),f31(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[312,126,118,1980,1820,2022,1817,2081,444,1814,442,97,236,191,93,87,3])).
% 135.35/135.51 cnf(2144,plain,
% 135.35/135.51 (P5(f35(a23,a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[107,297,207])).
% 135.35/135.51 cnf(2146,plain,
% 135.35/135.51 (P5(f31(f35(a1,a27),f35(a1,a27)),f52(f51(a55),f51(a57)))),
% 135.35/135.51 inference(scs_inference,[],[107,297,1046,1040,207,237])).
% 135.35/135.51 cnf(2150,plain,
% 135.35/135.51 (P1(f35(f35(a1,a54),f35(a1,a54)))),
% 135.35/135.51 inference(scs_inference,[],[107,297,1046,1367,2009,428,1040,207,237,156,173])).
% 135.35/135.51 cnf(2156,plain,
% 135.35/135.51 (P5(f35(a55,a16),f51(f35(a54,a1)))),
% 135.35/135.51 inference(scs_inference,[],[107,297,1682,1046,1367,2103,2009,1956,428,1040,98,97,207,237,156,173,227,172,202])).
% 135.35/135.51 cnf(2159,plain,
% 135.35/135.51 (P5(f35(a54,a1),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[107,125,297,1682,1046,1367,2106,2103,2009,1956,428,1983,1040,98,97,207,237,156,173,227,172,202,88,78])).
% 135.35/135.51 cnf(2162,plain,
% 135.35/135.51 (E(a1,f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[107,318,135,125,297,132,1682,1046,1367,2106,2103,2009,1956,428,1983,1040,98,97,207,237,156,173,227,172,202,88,78,79,3,2])).
% 135.35/135.51 cnf(2165,plain,
% 135.35/135.51 (P2(f35(a55,a16),f35(a54,a1))),
% 135.35/135.51 inference(scs_inference,[],[107,318,135,125,297,109,132,1682,1046,1367,2106,2103,2009,2030,448,1956,428,1983,1040,98,97,207,237,156,173,227,172,202,88,78,79,3,2,295,87])).
% 135.35/135.51 cnf(2178,plain,
% 135.35/135.51 (P2(f35(a58,f18(a58)),f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[2108,690,100,250])).
% 135.35/135.51 cnf(2188,plain,
% 135.35/135.51 (P5(f31(f35(a15,a27),f35(a15,a27)),a56)),
% 135.35/135.51 inference(scs_inference,[],[297,2150,1825,1797,1815,2108,2027,1690,1040,690,100,250,207,156,237,173,227])).
% 135.35/135.51 cnf(2192,plain,
% 135.35/135.51 (P5(f35(a33,a23),f51(a33))),
% 135.35/135.51 inference(scs_inference,[],[107,297,2150,1825,1797,1815,2108,2027,410,1690,1178,1040,690,478,100,250,207,156,237,173,227,172,202])).
% 135.35/135.51 cnf(2195,plain,
% 135.35/135.51 (P5(f35(a1,a1),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[107,125,297,2150,1825,1797,2162,1815,2108,2027,410,1690,1178,1040,690,478,100,250,207,156,237,173,227,172,202,78])).
% 135.35/135.51 cnf(2196,plain,
% 135.35/135.51 (P5(f31(a32,a34),f50(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[107,125,297,2150,1825,1797,2162,1815,2108,1708,2027,410,1690,1519,1178,1040,690,478,100,250,207,156,237,173,227,172,202,78,79])).
% 135.35/135.51 cnf(2198,plain,
% 135.35/135.51 (E(f31(a1,a1),f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[107,312,125,297,2150,1825,1797,2162,1815,2108,1708,2027,410,1690,1519,1178,1040,690,478,100,250,207,156,237,173,227,172,202,78,79,3])).
% 135.35/135.51 cnf(2240,plain,
% 135.35/135.51 (E(f35(a57,f29(f35(a1,a1))),f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[108,2195,1571,153,150,185,148,141,144,146,187])).
% 135.35/135.51 cnf(2242,plain,
% 135.35/135.51 (P1(f29(f35(a1,a1)))),
% 135.35/135.51 inference(scs_inference,[],[108,2195,1571,153,150,185,148,141,144,146,187,161])).
% 135.35/135.51 cnf(2250,plain,
% 135.35/135.51 (P5(f21(f35(a23,a27)),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[108,2144,2195,1571,153,150,185,148,141,144,146,187,161,149,152,151,170])).
% 135.35/135.51 cnf(2258,plain,
% 135.35/135.51 (P5(f20(f35(a23,a27)),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[108,2144,2195,1571,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169])).
% 135.35/135.51 cnf(2301,plain,
% 135.35/135.51 (E(f35(x23011,f35(a1,a55)),f35(x23011,a1))),
% 135.35/135.51 inference(scs_inference,[],[108,320,2144,2195,1013,1571,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9])).
% 135.35/135.51 cnf(2342,plain,
% 135.35/135.51 (E(f51(f35(a1,a55)),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2144,2195,1013,1571,1940,2029,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19])).
% 135.35/135.51 cnf(2349,plain,
% 135.35/135.51 (P8(a55,f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2198,2144,2195,1813,1013,1571,1940,2029,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19,18,6,175,174,82])).
% 135.35/135.51 cnf(2350,plain,
% 135.35/135.51 (P8(f35(a1,a1),a1)),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2198,2144,2195,1813,1013,1571,1940,2029,1814,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19,18,6,175,174,82,81])).
% 135.35/135.51 cnf(2351,plain,
% 135.35/135.51 (P5(f35(a25,f31(a32,a34)),f50(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2198,2144,2196,2195,1813,1013,1571,1940,2029,436,1814,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19,18,6,175,174,82,81,220])).
% 135.35/135.51 cnf(2354,plain,
% 135.35/135.51 (E(a1,f35(a1,a55))),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2198,2144,2196,2195,1813,1013,1571,1361,1940,2029,436,1814,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19,18,6,175,174,82,81,220,3,2])).
% 135.35/135.51 cnf(2361,plain,
% 135.35/135.51 (P5(a1,f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[108,320,306,2198,2061,2144,2196,2195,2192,1813,1013,1571,1361,1940,2029,436,1814,1956,1603,1178,478,100,97,153,150,185,148,141,144,146,187,161,149,152,151,170,143,140,186,169,158,159,147,184,160,72,41,75,69,59,52,48,34,31,28,27,74,73,71,68,66,64,51,49,45,42,35,32,29,24,23,21,17,16,15,10,9,8,7,4,67,65,62,60,58,56,55,53,50,47,46,44,43,40,39,37,33,30,26,25,20,14,13,12,11,236,76,70,63,61,57,54,38,36,22,19,18,6,175,174,82,81,220,3,2,209,270,145,79])).
% 135.35/135.51 cnf(2377,plain,
% 135.35/135.51 (P5(f31(a1,a1),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[109,503,2361,322,1519,167,139,237])).
% 135.35/135.51 cnf(2379,plain,
% 135.35/135.51 (E(f31(x23791,f35(a1,a1)),f31(x23791,a1))),
% 135.35/135.51 inference(scs_inference,[],[318,109,503,2361,322,1519,167,139,237,5])).
% 135.35/135.51 cnf(2382,plain,
% 135.35/135.51 (~E(f35(a1,a55),f31(a32,a34))),
% 135.35/135.51 inference(scs_inference,[],[318,299,109,503,2342,2354,2361,322,1519,97,167,139,237,5,202,3])).
% 135.35/135.51 cnf(2413,plain,
% 135.35/135.51 (P2(a55,f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[109,125,1642,955,2349,440,1794,448,1518,862,1073,99,102,239,257,258,241,226,242,208,191])).
% 135.35/135.51 cnf(2417,plain,
% 135.35/135.51 (P2(a54,f31(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[109,125,1642,2242,955,2240,2349,2077,1211,440,1794,448,774,1518,862,1073,99,102,100,239,257,258,241,226,242,208,191,202,88])).
% 135.35/135.51 cnf(2418,plain,
% 135.35/135.51 (P2(f35(a1,a55),f35(a54,a1))),
% 135.35/135.51 inference(scs_inference,[],[109,125,1642,2242,955,2240,2075,2349,2077,1211,440,2354,1794,448,774,1518,862,1073,99,102,100,239,257,258,241,226,242,208,191,202,88,87])).
% 135.35/135.51 cnf(2419,plain,
% 135.35/135.51 (P5(f35(a55,a16),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[109,125,1642,2242,955,2240,2156,2075,2349,2077,1211,440,2354,1794,448,774,1518,1956,862,1073,99,102,100,239,257,258,241,226,242,208,191,202,88,87,79])).
% 135.35/135.51 cnf(2420,plain,
% 135.35/135.51 (E(f35(a1,a1),f35(a1,a55))),
% 135.35/135.51 inference(scs_inference,[],[109,318,125,1642,2242,955,2240,2156,2075,2349,2077,1211,440,2354,1794,448,774,1518,1956,862,1073,99,102,100,239,257,258,241,226,242,208,191,202,88,87,79,3])).
% 135.35/135.51 cnf(2421,plain,
% 135.35/135.51 (E(a1,f31(f20(a1),f21(a1)))),
% 135.35/135.51 inference(scs_inference,[],[109,318,125,1642,2242,1141,955,2240,2156,2075,2349,2077,1211,440,2354,1794,448,774,1518,1956,862,1073,99,102,100,239,257,258,241,226,242,208,191,202,88,87,79,3,2])).
% 135.35/135.51 cnf(2449,plain,
% 135.35/135.51 (~E(f37(f37(f37(a27))),f31(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[312,304,2421,952,925,98,257,258,241,242,82,81,3])).
% 135.35/135.51 cnf(2458,plain,
% 135.35/135.51 (P1(f5(a33,a33))),
% 135.35/135.51 inference(scs_inference,[],[109,312,304,125,2382,2421,952,448,1519,958,862,925,1073,692,426,98,257,258,241,242,82,81,3,2,213,239,183,182])).
% 135.35/135.51 cnf(2462,plain,
% 135.35/135.51 (P5(f37(f37(f31(a32,a34))),a56)),
% 135.35/135.51 inference(scs_inference,[],[109,312,304,125,2382,2421,952,448,658,1071,660,1519,958,1058,862,925,1073,692,426,98,257,258,241,242,82,81,3,2,213,239,183,182,177,163])).
% 135.35/135.51 cnf(2485,plain,
% 135.35/135.51 (P5(f35(a1,a54),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[2377,2076,78])).
% 135.35/135.51 cnf(2487,plain,
% 135.35/135.51 (E(f35(a33,a33),f35(f31(a32,a34),f12(f31(a32,a34),f51(a33),f35(a33,a33))))),
% 135.35/135.51 inference(scs_inference,[],[135,1218,2377,2076,2421,78,3,2])).
% 135.35/135.51 cnf(2490,plain,
% 135.35/135.51 (P6(a58,f35(a55,a22),f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[135,1218,2377,2076,1428,2421,1603,665,100,78,3,2,214,92])).
% 135.35/135.51 cnf(2508,plain,
% 135.35/135.51 (P5(f35(f53(a1),a27),a56)),
% 135.35/135.51 inference(scs_inference,[],[324,297,977,478,183,182,207])).
% 135.35/135.51 cnf(2510,plain,
% 135.35/135.51 (P5(f31(f31(a26,a30),f31(a26,a30)),a56)),
% 135.35/135.51 inference(scs_inference,[],[324,297,848,977,478,183,182,207,227])).
% 135.35/135.51 cnf(2518,plain,
% 135.35/135.51 (P2(f35(a1,a55),a1)),
% 135.35/135.51 inference(scs_inference,[],[324,297,314,2015,2418,848,428,977,478,183,182,207,227,156,173,172,88])).
% 135.35/135.51 cnf(2519,plain,
% 135.35/135.51 (P2(f31(a1,a54),f31(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[324,297,314,2015,2418,848,2417,2077,428,977,478,183,182,207,227,156,173,172,88,87])).
% 135.35/135.51 cnf(2520,plain,
% 135.35/135.51 (E(f35(a1,a54),f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[310,324,297,314,2015,2418,848,2417,2077,2162,428,977,478,183,182,207,227,156,173,172,88,87,3])).
% 135.35/135.51 cnf(2524,plain,
% 135.35/135.51 (P5(a1,f52(f52(f51(a55),f51(a57)),a56))),
% 135.35/135.51 inference(scs_inference,[],[310,312,324,297,314,2449,2015,2418,848,2417,2077,1568,2162,428,448,898,977,625,478,109,183,182,207,227,156,173,172,88,87,3,2,245,254])).
% 135.35/135.51 cnf(2591,plain,
% 135.35/135.51 (P1(f35(a1,a55))),
% 135.35/135.51 inference(scs_inference,[],[111,324,900,2250,2159,2518,2258,1608,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157])).
% 135.35/135.51 cnf(2597,plain,
% 135.35/135.51 (P8(f31(a32,a34),f35(a33,f31(a32,a34)))),
% 135.35/135.51 inference(scs_inference,[],[111,324,900,2250,2159,2518,2258,1608,1269,410,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197])).
% 135.35/135.51 cnf(2615,plain,
% 135.35/135.51 (E(f35(x26151,f31(a26,a30)),f35(x26151,a27))),
% 135.35/135.51 inference(scs_inference,[],[111,324,900,2250,2159,2518,2258,1608,1269,410,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9])).
% 135.35/135.51 cnf(2629,plain,
% 135.35/135.51 (E(f8(f31(a26,a30),x26291),f8(a27,x26291))),
% 135.35/135.51 inference(scs_inference,[],[111,324,900,2250,2159,2518,2258,1608,1269,410,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49])).
% 135.35/135.51 cnf(2641,plain,
% 135.35/135.51 (P5(f35(f53(a1),f31(a32,a34)),a56)),
% 135.35/135.51 inference(scs_inference,[],[111,324,298,900,2250,2159,2518,2258,1608,1269,410,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207])).
% 135.35/135.51 cnf(2643,plain,
% 135.35/135.51 (P6(f35(a58,f18(a58)),f35(a55,a22),f35(a57,a25))),
% 135.35/135.51 inference(scs_inference,[],[111,324,298,900,2250,2159,2518,2490,2258,1608,1269,410,1590,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207,91])).
% 135.35/135.51 cnf(2664,plain,
% 135.35/135.51 (P5(f31(f35(a1,a54),f35(a1,a54)),f51(a1))),
% 135.35/135.51 inference(scs_inference,[],[111,322,324,298,900,2250,2485,2159,935,2518,2490,2258,1608,1269,410,1590,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207,91,70,62,61,60,58,57,50,47,44,43,40,39,38,37,33,26,25,13,227,237])).
% 135.35/135.51 cnf(2671,plain,
% 135.35/135.51 (E(f51(f31(a26,a30)),f51(a27))),
% 135.35/135.51 inference(scs_inference,[],[111,322,324,298,900,2250,2485,2159,935,2518,2490,2258,1608,1269,410,1590,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207,91,70,62,61,60,58,57,50,47,44,43,40,39,38,37,33,26,25,13,227,237,76,63,54,36,22,19])).
% 135.35/135.51 cnf(2682,plain,
% 135.35/135.51 (E(a34,f35(a57,f29(a34)))),
% 135.35/135.51 inference(scs_inference,[],[111,326,322,324,298,2351,900,778,2250,2485,2159,935,2518,2490,2258,2458,1608,1269,410,1639,1590,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207,91,70,62,61,60,58,57,50,47,44,43,40,39,38,37,33,26,25,13,227,237,76,63,54,36,22,19,18,6,156,173,172,3,2])).
% 135.35/135.51 cnf(2685,plain,
% 135.35/135.51 (P5(f35(a57,a1),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[111,326,322,324,298,2351,900,778,2301,2250,2485,2159,935,2518,2490,2258,2458,1608,1269,410,1639,1590,478,97,153,148,141,150,144,146,185,161,152,151,143,140,170,187,186,158,149,184,169,160,159,147,41,157,72,69,59,27,197,75,66,64,52,48,45,34,32,31,29,28,24,21,16,15,9,8,7,4,74,73,71,68,67,65,56,55,53,51,49,46,42,35,30,23,20,17,14,12,11,10,207,91,70,62,61,60,58,57,50,47,44,43,40,39,38,37,33,26,25,13,227,237,76,63,54,36,22,19,18,6,156,173,172,3,2,294,181])).
% 135.35/135.51 cnf(2704,plain,
% 135.35/135.51 (P5(f35(a57,a27),f51(a57))),
% 135.35/135.51 inference(scs_inference,[],[2615,2671,992,898,145,181])).
% 135.35/135.51 cnf(2705,plain,
% 135.35/135.51 (E(f35(x27051,f31(a26,a30)),f35(x27051,a27))),
% 135.35/135.51 inference(rename_variables,[],[2615])).
% 135.35/135.51 cnf(2709,plain,
% 135.35/135.51 (P5(f35(a55,a27),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[2615,2705,918,2671,992,898,145,181,139,179])).
% 135.35/135.51 cnf(2712,plain,
% 135.35/135.51 (P3(f51(a27))),
% 135.35/135.51 inference(scs_inference,[],[2615,2705,918,2671,992,898,145,181,139,179,80])).
% 135.35/135.51 cnf(2718,plain,
% 135.35/135.51 (E(f31(x27181,f31(a26,a30)),f31(x27181,a27))),
% 135.35/135.51 inference(scs_inference,[],[111,308,2615,2705,918,1991,2671,992,2379,2195,1040,898,145,181,139,179,80,236,237,5])).
% 135.35/135.51 cnf(2720,plain,
% 135.35/135.51 (P8(f35(a1,a55),a1)),
% 135.35/135.51 inference(scs_inference,[],[111,308,2615,2705,918,1991,2671,2350,992,2379,2349,2420,2195,1040,898,145,181,139,179,80,236,237,5,82,81])).
% 135.35/135.51 cnf(2723,plain,
% 135.35/135.51 (~E(f31(a26,a30),a1)),
% 135.35/135.51 inference(scs_inference,[],[111,136,308,132,2146,2615,2705,918,1991,876,2671,2350,992,2379,2349,2420,2421,2195,1040,898,145,181,139,179,80,236,237,5,82,81,79,3,2])).
% 135.35/135.51 cnf(2750,plain,
% 135.35/135.51 (P1(f8(f31(a26,a30),f31(a26,a30)))),
% 135.35/135.51 inference(scs_inference,[],[2723,992,142,183])).
% 135.35/135.51 cnf(2752,plain,
% 135.35/135.51 (P5(f35(a55,a1),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[2723,2591,2301,992,142,183,179])).
% 135.35/135.51 cnf(2755,plain,
% 135.35/135.51 (P5(f43(f31(a26,a30)),f51(a55))),
% 135.35/135.51 inference(scs_inference,[],[2723,2591,2301,992,848,142,183,179,176])).
% 135.35/135.51 cnf(2757,plain,
% 135.35/135.51 (~E(f37(f31(a26,a30)),a1)),
% 135.35/135.51 inference(scs_inference,[],[2723,2591,2301,992,848,142,183,179,176,154])).
% 135.35/135.51 cnf(2765,plain,
% 135.35/135.51 (E(f35(a55,a16),f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[113,324,2723,2591,2301,2162,992,410,848,1178,478,142,183,179,176,154,182,20,202,3])).
% 135.35/135.51 cnf(2766,plain,
% 135.35/135.51 (E(a34,f35(a57,f19(a34)))),
% 135.35/135.51 inference(scs_inference,[],[113,328,324,2723,2591,2301,2162,992,410,848,1178,478,142,183,179,176,154,182,20,202,3,2])).
% 135.35/135.51 cnf(2769,plain,
% 135.35/135.51 (~E(f35(f31(a26,a30),f31(a26,a30)),a1)),
% 135.35/135.51 inference(scs_inference,[],[113,328,298,324,2723,2591,2301,2162,992,410,848,1178,977,478,142,183,179,176,154,182,20,202,3,2,222,162])).
% 135.35/135.51 cnf(2771,plain,
% 135.35/135.51 (P8(f35(a58,f18(a58)),f35(a55,a22))),
% 135.35/135.51 inference(scs_inference,[],[113,328,298,324,2723,2591,2301,2178,2162,992,410,848,1178,690,977,478,142,183,179,176,154,182,20,202,3,2,222,162,171])).
% 135.35/135.51 cnf(2790,plain,
% 135.35/135.51 (P2(f31(a1,a54),a54)),
% 135.35/135.51 inference(scs_inference,[],[316,322,324,2519,2664,220,88])).
% 135.35/135.51 cnf(2791,plain,
% 135.35/135.51 (P2(f35(a58,a2),f35(a1,a1))),
% 135.35/135.51 inference(scs_inference,[],[316,322,324,2519,2664,2413,925,220,88,87])).
% 135.35/135.51 cnf(2793,plain,
% 135.35/135.51 (P5(a1,f52(a56,a56))),
% 135.35/135.51 inference(scs_inference,[],[316,322,124,324,2519,2664,2524,2413,1568,2421,925,220,88,87,78,79])).
% 135.35/135.51 cnf(2799,plain,
% 135.35/135.51 (~E(f35(a33,a33),a1)),
% 135.35/135.51 inference(scs_inference,[],[113,316,322,124,324,2519,2664,2757,2524,2413,2087,1568,2421,925,692,426,100,220,88,87,78,79,3,2,215,162])).
% 135.35/135.51 cnf(2801,plain,
% 135.35/135.51 (P5(f31(a1,a30),a56)),
% 135.35/135.51 inference(scs_inference,[],[113,316,322,124,129,324,2519,2664,2757,2524,2413,2087,1568,2421,1940,2029,925,692,426,100,220,88,87,78,79,3,2,215,162,236])).
% 135.35/135.51 cnf(2806,plain,
% 135.35/135.51 (P1(f35(f31(a32,a34),f12(f31(a32,a34),f51(a33),f35(a33,a33))))),
% 135.35/135.51 inference(scs_inference,[],[113,316,322,124,129,324,2487,2519,2664,2757,2524,2413,860,2087,1568,2421,1940,2029,1686,1596,925,692,426,100,220,88,87,78,79,3,2,215,162,236,177,77])).
% 135.35/135.51 cnf(2818,plain,
% 135.35/135.51 (P1(f31(a1,a54))),
% 135.35/135.51 inference(scs_inference,[],[2790,98,157])).
% 135.35/135.51 cnf(2820,plain,
% 135.35/135.51 (P8(f35(a1,a55),f35(a57,a23))),
% 135.35/135.51 inference(scs_inference,[],[2720,2790,1288,98,157,82])).
% 135.35/135.51 cnf(2823,plain,
% 135.35/135.51 (E(a32,f35(a55,f28(a32)))),
% 135.35/135.51 inference(scs_inference,[],[330,135,1679,2720,2790,1288,1590,98,157,82,81,3,2])).
% 135.35/135.51 cnf(2828,plain,
% 135.35/135.51 (P5(f37(f31(a26,a30)),a56)),
% 135.35/135.51 inference(scs_inference,[],[330,135,324,1679,2720,2790,2643,1288,1498,848,1603,2723,1590,690,98,100,157,82,81,3,2,223,249,163])).
% 135.35/135.51 cnf(2832,plain,
% 135.35/135.51 (P5(a34,f51(f35(a58,a15)))),
% 135.35/135.51 inference(scs_inference,[],[330,326,135,324,2791,1679,2720,2790,2643,334,440,1288,774,1498,848,1603,2723,1590,690,98,100,157,82,81,3,2,223,249,163,171,202])).
% 135.35/135.51 cnf(2849,plain,
% 135.35/135.52 (P5(f35(a1,a1),f51(f35(a1,a55)))),
% 135.35/135.52 inference(scs_inference,[],[2520,2828,2757,2342,98,97,176,202])).
% 135.35/135.52 cnf(2851,plain,
% 135.35/135.52 (P5(f35(a1,a1),f51(a1))),
% 135.35/135.52 inference(scs_inference,[],[2520,2828,2485,2757,2342,98,97,176,202,78])).
% 135.35/135.52 cnf(2852,plain,
% 135.35/135.52 (E(f35(a57,f19(a34)),f35(a57,f29(a34)))),
% 135.35/135.52 inference(scs_inference,[],[328,2520,2828,2682,2485,2757,2342,98,97,176,202,78,3])).
% 135.35/135.52 cnf(2856,plain,
% 135.35/135.52 (P5(f31(a27,a27),f52(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[328,128,127,297,2520,2718,2769,2828,2682,2485,2757,1528,2342,848,497,98,97,109,176,202,78,3,2,251,254])).
% 135.35/135.52 cnf(2860,plain,
% 135.35/135.52 (P1(f8(a27,f31(a26,a30)))),
% 135.35/135.52 inference(scs_inference,[],[328,128,127,297,2520,2629,2718,2769,2828,2682,2750,2485,2757,1528,2342,848,497,98,97,109,176,202,78,3,2,251,254,77])).
% 135.35/135.52 cnf(2862,plain,
% 135.35/135.52 (~P3(f51(a55))+P5(f46(f51(a55),f51(a57),a56,a27),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[328,128,127,297,2520,2629,2718,2769,2828,2682,2750,2485,2757,1528,1039,2342,848,862,497,98,97,109,176,202,78,3,2,251,254,77,288])).
% 135.35/135.52 cnf(2877,plain,
% 135.35/135.52 (P4(f51(f8(a27,f31(a26,a30))))),
% 135.35/135.52 inference(scs_inference,[],[2860,141])).
% 135.35/135.52 cnf(2885,plain,
% 135.35/135.52 (P1(f29(f35(a57,a1)))),
% 135.35/135.52 inference(scs_inference,[],[2860,2685,2709,1783,141,153,150,185,161])).
% 135.35/135.52 cnf(2899,plain,
% 135.35/135.52 (E(f35(a57,f29(f35(a57,a1))),f35(a57,a1))),
% 135.35/135.52 inference(scs_inference,[],[2860,2685,2709,1783,141,153,150,185,161,148,152,151,144,146,143,187])).
% 135.35/135.52 cnf(2977,plain,
% 135.35/135.52 (P5(f31(f35(a1,a1),f35(a1,a1)),f51(a1))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2755,2188,2860,2685,2851,2709,1234,1783,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237])).
% 135.35/135.52 cnf(2979,plain,
% 135.35/135.52 (P1(f31(a27,a27))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2856,2755,2188,2860,2685,2851,2709,1234,1783,1624,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156])).
% 135.35/135.52 cnf(2997,plain,
% 135.35/135.52 (E(f51(f35(a57,a23)),f51(a1))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2856,2755,2188,2860,2685,2851,2709,1234,1783,1624,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156,63,61,58,57,47,44,43,39,38,36,33,26,25,76,54,22,19])).
% 135.35/135.52 cnf(3002,plain,
% 135.35/135.52 (P1(f31(f35(a15,a15),f35(a15,a15)))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2856,2755,2188,2860,2685,2851,2709,1234,1783,1624,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156,63,61,58,57,47,44,43,39,38,36,33,26,25,76,54,22,19,18,6,173,172])).
% 135.35/135.52 cnf(3004,plain,
% 135.35/135.52 (P2(a54,f35(a58,f18(a58)))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2856,2755,2188,2860,2685,2851,2709,1234,1413,1783,1624,1590,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156,63,61,58,57,47,44,43,39,38,36,33,26,25,76,54,22,19,18,6,173,172,88])).
% 135.35/135.52 cnf(3006,plain,
% 135.35/135.52 (~E(f35(a33,a33),f35(a57,a23))),
% 135.35/135.52 inference(scs_inference,[],[115,322,324,2856,2755,2765,2188,2165,2860,2685,2851,2799,2709,1234,1413,1783,1624,1590,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156,63,61,58,57,47,44,43,39,38,36,33,26,25,76,54,22,19,18,6,173,172,88,87,3])).
% 135.35/135.52 cnf(3007,plain,
% 135.35/135.52 (E(a32,f35(a55,f17(a32)))),
% 135.35/135.52 inference(scs_inference,[],[115,332,322,324,2856,2755,2765,2188,2165,2860,2685,2851,2799,2709,1234,1413,1783,1624,1590,141,153,150,185,161,148,152,151,144,146,143,187,149,140,170,169,186,158,159,147,184,160,72,41,27,75,69,59,32,16,15,9,7,4,207,74,73,67,66,65,64,55,52,49,48,45,34,31,30,29,28,24,21,14,11,8,227,71,70,68,62,60,56,53,51,50,46,42,40,37,35,23,17,13,12,10,237,156,63,61,58,57,47,44,43,39,38,36,33,26,25,76,54,22,19,18,6,173,172,88,87,3,2])).
% 135.35/135.52 cnf(3028,plain,
% 135.35/135.52 (P5(f35(a57,f29(a34)),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[2852,2997,338,97,145,181])).
% 135.35/135.52 cnf(3043,plain,
% 135.35/135.52 (~E(f35(a1,a1),a27)),
% 135.35/135.52 inference(scs_inference,[],[115,136,298,2979,687,2877,2852,2997,2801,338,2162,97,109,145,181,139,207,227,156,173,172,5,3])).
% 135.35/135.52 cnf(3085,plain,
% 135.35/135.52 (P8(a1,f35(a57,a23))),
% 135.35/135.52 inference(scs_inference,[],[312,125,320,458,2771,2820,2765,1420,2828,1568,2799,2757,860,448,2195,862,105,109,254,142,179,154,236,82,81])).
% 135.35/135.52 cnf(3086,plain,
% 135.35/135.52 (P5(f35(f53(a1),f31(a32,a34)),f52(f51(a55),f51(a57)))),
% 135.35/135.52 inference(scs_inference,[],[312,125,320,458,2771,2641,2820,2765,1420,2828,1568,1039,2799,2757,860,448,2195,862,105,109,254,142,179,154,236,82,81,79])).
% 135.35/135.52 cnf(3088,plain,
% 135.35/135.52 (E(a58,f35(a58,f9(a58,a58)))),
% 135.35/135.52 inference(scs_inference,[],[332,312,125,320,495,458,2771,2641,2820,2823,2765,1420,2828,1568,1039,2799,2757,860,448,2195,862,105,109,254,142,179,154,236,82,81,79,3,2])).
% 135.35/135.52 cnf(3120,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),a55,a57)),
% 135.35/135.52 inference(scs_inference,[],[116,133,322,3006,2419,3004,3088,778,2350,440,1794,2799,860,1603,100,97,183,182,191,171,20,3,2,209,237,91])).
% 135.35/135.52 cnf(3124,plain,
% 135.35/135.52 (P2(f35(a58,f9(a58,a58)),a58)),
% 135.35/135.52 inference(scs_inference,[],[116,133,302,322,1375,3006,2419,3004,3088,3002,778,2350,440,1794,2828,2799,2757,860,1603,100,97,183,182,191,171,20,3,2,209,237,91,177,77,87])).
% 135.35/135.52 cnf(3135,plain,
% 135.35/135.52 (~E(f51(a1),x31351)+P4(x31351)),
% 135.35/135.52 inference(scs_inference,[],[116,334,133,302,316,124,322,1375,3006,2419,3004,3088,3002,778,2350,440,1794,2828,2712,2799,2757,860,940,1603,497,99,100,97,183,182,191,171,20,3,2,209,237,91,177,77,87,213,291,244,216,210,83])).
% 135.35/135.52 cnf(3137,plain,
% 135.35/135.52 (P5(f31(a1,f31(a1,a1)),f52(f52(f51(a55),f51(a57)),f51(a57)))),
% 135.35/135.52 inference(scs_inference,[],[125,454,870,1568,862,109,254])).
% 135.35/135.52 cnf(3142,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),a55,f35(a58,a15))),
% 135.35/135.52 inference(scs_inference,[],[125,2793,3120,454,870,1568,833,438,862,109,254,237,93])).
% 135.35/135.52 cnf(3156,plain,
% 135.35/135.52 (P2(f35(a58,f9(a58,a58)),a55)),
% 135.35/135.52 inference(scs_inference,[],[336,318,136,134,125,124,568,2793,3120,2856,2791,454,870,1186,1528,1789,1568,833,438,399,862,1044,1040,426,99,100,109,254,237,93,220,202,88,78,79,3,2,217,250])).
% 135.35/135.52 cnf(3160,plain,
% 135.35/135.52 (P2(f31(a32,a34),f35(a33,f31(a32,a34)))),
% 135.35/135.52 inference(scs_inference,[],[336,318,136,134,125,124,568,2597,2793,3120,2856,2791,454,870,1269,1186,1528,1789,1568,2828,833,438,2757,399,862,1044,1040,426,478,99,100,109,254,237,93,220,202,88,78,79,3,2,217,250,163,191])).
% 135.35/135.52 cnf(3162,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(a55,a22),a57)),
% 135.35/135.52 inference(scs_inference,[],[336,318,136,134,125,124,568,2597,2793,3120,2856,2791,454,870,1269,1186,1528,1789,1568,2828,833,438,2757,665,399,862,1044,1040,426,478,99,100,109,254,237,93,220,202,88,78,79,3,2,217,250,163,191,92])).
% 135.35/135.52 cnf(3181,plain,
% 135.35/135.52 (P2(f35(a58,f9(a58,a58)),f35(a58,a15))),
% 135.35/135.52 inference(scs_inference,[],[312,122,3142,948,1528,930,448,99,109,272,254,249])).
% 135.35/135.52 cnf(3187,plain,
% 135.35/135.52 (P8(f31(a1,a54),f31(a1,a54))),
% 135.35/135.52 inference(scs_inference,[],[312,122,3142,2519,2720,948,2818,2591,1528,930,448,99,97,109,272,254,249,226,208,171])).
% 135.35/135.52 cnf(3192,plain,
% 135.35/135.52 (P8(f35(a58,a15),f35(a1,a54))),
% 135.35/135.52 inference(scs_inference,[],[300,336,312,122,322,2977,3142,928,2519,2720,948,2818,2591,3088,1683,1528,930,448,99,97,109,272,254,249,226,208,171,220,81,82])).
% 135.35/135.52 cnf(3193,plain,
% 135.35/135.52 (E(f35(a55,f28(a32)),f35(a55,f17(a32)))),
% 135.35/135.52 inference(scs_inference,[],[330,300,336,312,122,322,3007,2977,3142,928,2519,2720,948,2818,2591,3088,1683,1528,930,448,99,97,109,272,254,249,226,208,171,220,81,82,3])).
% 135.35/135.52 cnf(3262,plain,
% 135.35/135.52 (P1(f35(a58,f9(a58,a58)))),
% 135.35/135.52 inference(scs_inference,[],[338,3181,2508,2752,3028,2704,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157])).
% 135.35/135.52 cnf(3271,plain,
% 135.35/135.52 (E(f35(x32711,f35(a57,f19(a34))),f35(x32711,a34))),
% 135.35/135.52 inference(scs_inference,[],[338,328,3181,2508,2752,3028,2704,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157,41,75,72,59,27,16,15,9])).
% 135.35/135.52 cnf(3331,plain,
% 135.35/135.52 (E(f51(f35(a57,f19(a34))),f51(a34))),
% 135.35/135.52 inference(scs_inference,[],[338,328,3181,2508,2752,3028,2704,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157,41,75,72,59,27,16,15,9,73,69,66,65,64,55,48,34,32,28,21,14,7,4,74,67,60,53,52,49,45,42,40,37,35,31,30,29,24,17,13,12,11,8,71,70,68,63,62,57,56,51,50,47,46,44,43,39,36,23,10,76,61,58,38,33,26,25,22,19])).
% 135.35/135.52 cnf(3335,plain,
% 135.35/135.52 (P2(f35(a58,f9(a58,a58)),a57)),
% 135.35/135.52 inference(scs_inference,[],[338,328,123,3181,2508,2752,3028,2704,3088,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157,41,75,72,59,27,16,15,9,73,69,66,65,64,55,48,34,32,28,21,14,7,4,74,67,60,53,52,49,45,42,40,37,35,31,30,29,24,17,13,12,11,8,71,70,68,63,62,57,56,51,50,47,46,44,43,39,36,23,10,76,61,58,38,33,26,25,22,19,18,54,6,87])).
% 135.35/135.52 cnf(3336,plain,
% 135.35/135.52 (P5(f35(a57,f19(a34)),f51(f35(a58,a15)))),
% 135.35/135.52 inference(scs_inference,[],[338,328,123,3181,2508,2752,2766,2832,3028,2704,3088,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157,41,75,72,59,27,16,15,9,73,69,66,65,64,55,48,34,32,28,21,14,7,4,74,67,60,53,52,49,45,42,40,37,35,31,30,29,24,17,13,12,11,8,71,70,68,63,62,57,56,51,50,47,46,44,43,39,36,23,10,76,61,58,38,33,26,25,22,19,18,54,6,87,78])).
% 135.35/135.52 cnf(3337,plain,
% 135.35/135.52 (~E(f37(f38(f37(a33))),f35(a1,a1))),
% 135.35/135.52 inference(scs_inference,[],[338,328,318,123,3181,2508,2752,2766,2832,3028,2704,1557,3088,930,185,141,153,150,144,143,161,148,152,151,146,140,170,169,187,186,158,149,184,159,147,160,157,41,75,72,59,27,16,15,9,73,69,66,65,64,55,48,34,32,28,21,14,7,4,74,67,60,53,52,49,45,42,40,37,35,31,30,29,24,17,13,12,11,8,71,70,68,63,62,57,56,51,50,47,46,44,43,39,36,23,10,76,61,58,38,33,26,25,22,19,18,54,6,87,78,3])).
% 135.35/135.52 cnf(3376,plain,
% 135.35/135.52 (P1(f35(a57,f19(a34)))),
% 135.35/135.52 inference(scs_inference,[],[334,297,3336,922,570,836,139,207,227,156])).
% 135.35/135.52 cnf(3394,plain,
% 135.35/135.52 (P5(f35(a22,a33),f50(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[330,334,135,302,297,3187,3337,3336,2899,922,570,2885,836,2818,2354,3088,1518,774,898,625,100,109,139,207,227,156,173,172,226,208,5,202,88,3,2,245,239])).
% 135.35/135.52 cnf(3397,plain,
% 135.35/135.52 (P5(f44(f31(a26,a30)),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[330,334,135,302,297,3187,3337,3336,2899,922,570,2885,836,2818,2354,3088,1518,774,848,2723,898,625,100,109,139,207,227,156,173,172,226,208,5,202,88,3,2,245,239,177])).
% 135.35/135.52 cnf(3416,plain,
% 135.35/135.52 (P5(f35(a57,a34),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[3376,3271,3181,1799,3156,930,99,272,181])).
% 135.35/135.52 cnf(3461,plain,
% 135.35/135.52 (P1(a34)),
% 135.35/135.52 inference(scs_inference,[],[310,316,328,3137,3043,1811,3187,3376,1568,660,658,81,82,79,3,2,230,77])).
% 135.35/135.52 cnf(3462,plain,
% 135.35/135.52 (P5(f35(a34,a34),f51(f35(a57,f19(a34))))),
% 135.35/135.52 inference(scs_inference,[],[310,316,328,3137,3331,3043,1811,3271,3187,3376,1568,660,658,81,82,79,3,2,230,77,202])).
% 135.35/135.52 cnf(3475,plain,
% 135.35/135.52 (~E(f35(f35(a33,a33),f35(a33,a33)),a1)),
% 135.35/135.52 inference(scs_inference,[],[3461,3331,2799,860,145,162])).
% 135.35/135.52 cnf(3487,plain,
% 135.35/135.52 (P2(a33,f35(a33,f31(a32,a34)))),
% 135.35/135.52 inference(scs_inference,[],[3160,3461,3335,3331,2799,860,100,112,145,162,257,241,258,242,171,87])).
% 135.35/135.52 cnf(3492,plain,
% 135.35/135.52 (P3(f51(a34))),
% 135.35/135.52 inference(scs_inference,[],[299,971,3160,3461,3335,3331,2162,1007,1009,2799,860,100,112,145,162,257,241,258,242,171,87,3,2,222,80])).
% 135.35/135.52 cnf(3493,plain,
% 135.35/135.52 (P8(a33,f35(f31(a32,a34),f12(f31(a32,a34),f51(a33),f35(a33,a33))))),
% 135.35/135.52 inference(scs_inference,[],[299,971,3160,3461,2806,3335,2487,3331,2162,1007,1009,2799,860,426,100,112,145,162,257,241,258,242,171,87,3,2,222,80,197])).
% 135.35/135.52 cnf(3513,plain,
% 135.35/135.52 (P5(f31(a26,a1),a56)),
% 135.35/135.52 inference(scs_inference,[],[326,334,128,2022,1817,3461,100,197,236])).
% 135.35/135.52 cnf(3516,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(a55,a22),f35(a58,a15))),
% 135.35/135.52 inference(scs_inference,[],[326,334,128,875,2022,1817,3461,3088,100,197,236,91])).
% 135.35/135.52 cnf(3521,plain,
% 135.35/135.52 (P5(f35(a34,a34),f51(a34))),
% 135.35/135.52 inference(scs_inference,[],[326,334,128,3462,3487,1717,875,2022,1817,1186,3331,3461,3088,110,100,197,236,91,237,88,79])).
% 135.35/135.52 cnf(3546,plain,
% 135.35/135.52 (E(a33,f31(f20(a33),f21(a33)))),
% 135.35/135.52 inference(scs_inference,[],[415,2])).
% 135.35/135.52 cnf(3612,plain,
% 135.35/135.52 (E(f35(x36121,f31(a1,a54)),f35(x36121,a54))),
% 135.35/135.52 inference(scs_inference,[],[316,415,2,54,6,19,25,58,61,76,10,18,22,26,33,38,39,43,44,46,50,56,62,71,11,12,17,23,30,31,36,37,40,42,47,51,52,53,57,63,67,68,70,74,4,8,13,14,21,24,28,29,35,45,48,49,60,64,66,69,73,7,16,32,34,55,65,75,9])).
% 135.35/135.52 cnf(3636,plain,
% 135.35/135.52 (P4(f51(f31(a32,a34)))),
% 135.35/135.52 inference(scs_inference,[],[478,316,848,415,636,2029,2,54,6,19,25,58,61,76,10,18,22,26,33,38,39,43,44,46,50,56,62,71,11,12,17,23,30,31,36,37,40,42,47,51,52,53,57,63,67,68,70,74,4,8,13,14,21,24,28,29,35,45,48,49,60,64,66,69,73,7,16,32,34,55,65,75,9,15,27,59,72,41,147,184,160,148,149,170,186,158,159,141])).
% 135.35/135.52 cnf(3663,plain,
% 135.35/135.52 (P8(a57,f35(a1,a54))),
% 135.35/135.52 inference(scs_inference,[],[478,316,848,415,636,2029,3192,1788,118,2,54,6,19,25,58,61,76,10,18,22,26,33,38,39,43,44,46,50,56,62,71,11,12,17,23,30,31,36,37,40,42,47,51,52,53,57,63,67,68,70,74,4,8,13,14,21,24,28,29,35,45,48,49,60,64,66,69,73,7,16,32,34,55,65,75,9,15,27,59,72,41,147,184,160,148,149,170,186,158,159,141,150,151,152,153,146,140,169,187,161,144,143,185,3,81])).
% 135.35/135.52 cnf(3664,plain,
% 135.35/135.52 (P8(f35(a58,a2),f35(a58,a2))),
% 135.35/135.52 inference(scs_inference,[],[478,316,925,848,958,415,636,2029,3192,1788,118,2,54,6,19,25,58,61,76,10,18,22,26,33,38,39,43,44,46,50,56,62,71,11,12,17,23,30,31,36,37,40,42,47,51,52,53,57,63,67,68,70,74,4,8,13,14,21,24,28,29,35,45,48,49,60,64,66,69,73,7,16,32,34,55,65,75,9,15,27,59,72,41,147,184,160,148,149,170,186,158,159,141,150,151,152,153,146,140,169,187,161,144,143,185,3,81,82])).
% 135.35/135.52 cnf(3671,plain,
% 135.35/135.52 (P5(f35(f31(a32,a34),a33),a56)),
% 135.35/135.52 inference(scs_inference,[],[119,478,316,925,848,958,415,636,2029,3192,1788,118,98,110,930,2818,3181,2,54,6,19,25,58,61,76,10,18,22,26,33,38,39,43,44,46,50,56,62,71,11,12,17,23,30,31,36,37,40,42,47,51,52,53,57,63,67,68,70,74,4,8,13,14,21,24,28,29,35,45,48,49,60,64,66,69,73,7,16,32,34,55,65,75,9,15,27,59,72,41,147,184,160,148,149,170,186,158,159,141,150,151,152,153,146,140,169,187,161,144,143,185,3,81,82,171,181,145,220])).
% 135.35/135.52 cnf(3720,plain,
% 135.35/135.52 (~E(f52(a56,a56),x37201)+P4(x37201)),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,795,862,1518,1683,774,409,870,1817,109,100,438,2,3,202,239,20,83])).
% 135.35/135.52 cnf(3721,plain,
% 135.35/135.52 (P2(f35(a58,a2),f35(a1,a55))),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,795,862,1518,1683,774,409,2420,2791,870,1817,109,100,438,2,3,202,239,20,83,88])).
% 135.35/135.52 cnf(3724,plain,
% 135.35/135.52 (P1(f35(f31(a32,a34),f31(a32,a34)))),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,795,862,1518,1683,774,409,2420,2791,870,1817,109,100,438,2,3,202,239,20,83,88,172,173])).
% 135.35/135.52 cnf(3730,plain,
% 135.35/135.52 (P5(f35(f31(a32,a34),f31(a32,a34)),a56)),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,298,795,862,1518,1683,774,982,3492,409,2420,2791,870,1817,3521,109,100,438,2,3,202,239,20,83,88,172,173,156,227,207])).
% 135.35/135.52 cnf(3732,plain,
% 135.35/135.52 (~E(f52(a56,a56),x37321)+P4(f52(x37321,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,298,795,862,1040,1518,1683,774,982,3492,409,2420,2791,870,1817,3521,109,100,438,2,3,202,239,20,83,88,172,173,156,227,207,174])).
% 135.35/135.52 cnf(3736,plain,
% 135.35/135.52 (~E(f52(a56,a56),x37361)+P4(f50(x37361,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[137,316,478,298,795,862,1040,1518,1683,774,982,3492,409,2420,2081,2791,870,1817,3521,109,100,438,2,3,202,239,20,83,88,172,173,156,227,207,174,176,175])).
% 135.35/135.52 cnf(3750,plain,
% 135.35/135.52 (P4(f50(f52(a56,a56),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(equality_inference,[],[3736])).
% 135.35/135.52 cnf(3753,plain,
% 135.35/135.52 (E(f50(x37531,a56),f50(x37531,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[1518,2])).
% 135.35/135.52 cnf(3765,plain,
% 135.35/135.52 (P5(f44(f35(f31(a32,a34),f31(a32,a34))),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[119,296,690,862,415,1518,636,2081,628,3730,2,3,172,156,173,227,207,177])).
% 135.35/135.52 cnf(3777,plain,
% 135.35/135.52 (~E(f35(a33,f31(a32,a34)),a1)),
% 135.35/135.52 inference(scs_inference,[],[119,296,478,692,977,690,1040,1073,862,415,1518,1210,636,2081,628,594,3664,3730,3193,99,426,336,2,3,172,156,173,227,207,177,179,220,208,226,191,162])).
% 135.35/135.52 cnf(3783,plain,
% 135.35/135.52 (P5(f37(f35(f31(a32,a34),f31(a32,a34))),a56)),
% 135.35/135.52 inference(scs_inference,[],[119,112,296,478,298,692,977,690,1040,1073,862,415,1518,1210,636,1639,2081,628,2196,594,3664,3730,3193,109,99,426,336,2,3,172,156,173,227,207,177,179,220,208,226,191,162,239,90,163])).
% 135.35/135.52 cnf(3791,plain,
% 135.35/135.52 (P8(a33,f35(a33,f31(a32,a34)))),
% 135.35/135.52 inference(scs_inference,[],[119,112,296,478,298,692,977,690,1040,1073,862,729,415,1518,1210,636,3461,1639,409,3331,2081,628,2196,594,3664,3730,3193,109,99,426,336,2597,2,3,172,156,173,227,207,177,179,220,208,226,191,162,239,90,163,237,202,89,81])).
% 135.35/135.52 cnf(3797,plain,
% 135.35/135.52 (~E(a1,f35(a33,a33))),
% 135.35/135.52 inference(scs_inference,[],[2799,2])).
% 135.35/135.52 cnf(3801,plain,
% 135.35/135.52 (P5(a33,f52(f51(a55),f51(a57)))),
% 135.35/135.52 inference(scs_inference,[],[119,497,2799,312,1683,1814,1039,2791,691,2,3,87,82,79])).
% 135.35/135.52 cnf(3802,plain,
% 135.35/135.52 (P5(f31(a1,a34),a56)),
% 135.35/135.52 inference(scs_inference,[],[119,131,497,2799,312,1683,2029,1814,1940,1039,2791,691,2,3,87,82,79,236])).
% 135.35/135.52 cnf(3826,plain,
% 135.35/135.52 (E(f51(a57),f51(f35(a58,a15)))),
% 135.35/135.52 inference(scs_inference,[],[774,2])).
% 135.35/135.52 cnf(3827,plain,
% 135.35/135.52 (~E(f31(a1,a54),a1)),
% 135.35/135.52 inference(scs_inference,[],[497,774,2077,2,3])).
% 135.35/135.52 cnf(3828,plain,
% 135.35/135.52 (P1(f35(a57,f29(a34)))),
% 135.35/135.52 inference(scs_inference,[],[497,3461,774,2077,2682,2,3,77])).
% 135.35/135.52 cnf(3856,plain,
% 135.35/135.52 (E(f35(x38561,a55),f35(x38561,f35(a58,a2)))),
% 135.35/135.52 inference(scs_inference,[],[497,925,3461,774,2077,2682,2818,2,3,77,182,183,162,55,23,32,47,18,4,46,30,69,65,31,6,58,52,37,59,29,64,45,39,38,9])).
% 135.35/135.52 cnf(3861,plain,
% 135.35/135.52 (E(f35(a55,x38611),f35(f35(a58,a2),x38611))),
% 135.35/135.52 inference(scs_inference,[],[497,925,3461,774,2077,2682,2818,2,3,77,182,183,162,55,23,32,47,18,4,46,30,69,65,31,6,58,52,37,59,29,64,45,39,38,9,26,57,63,11,8])).
% 135.35/135.52 cnf(3869,plain,
% 135.35/135.52 (E(f51(a55),f51(f35(a58,a2)))),
% 135.35/135.52 inference(scs_inference,[],[497,925,3461,774,2077,2682,2818,2,3,77,182,183,162,55,23,32,47,18,4,46,30,69,65,31,6,58,52,37,59,29,64,45,39,38,9,26,57,63,11,8,40,14,36,75,70,17,41,19])).
% 135.35/135.52 cnf(3941,plain,
% 135.35/135.52 (P5(f20(a1),f51(a55))),
% 135.35/135.52 inference(scs_inference,[],[316,497,690,925,448,3461,774,656,2077,1817,2682,2818,713,2,3,77,182,183,162,55,23,32,47,18,4,46,30,69,65,31,6,58,52,37,59,29,64,45,39,38,9,26,57,63,11,8,40,14,36,75,70,17,41,19,62,10,12,49,15,66,28,5,72,160,21,71,74,158,33,76,25,186,50,16,22,56,73,187,146,60,27,44,42,68,140,149,48,51,61,150,54,153,13,185,35,7,24,34,67,43,161,144,53,143,170,184,139,152,169])).
% 135.35/135.52 cnf(3967,plain,
% 135.35/135.52 (E(f35(f31(a32,a34),f31(a32,a34)),f35(a33,a33))),
% 135.35/135.52 inference(scs_inference,[],[925,630,410,409,2,20,3])).
% 135.35/135.52 cnf(3968,plain,
% 135.35/135.52 (E(f35(f31(a32,a34),x39681),f35(a33,x39681))),
% 135.35/135.52 inference(rename_variables,[],[410])).
% 135.35/135.52 cnf(3970,plain,
% 135.35/135.52 (P4(f50(f52(a56,a56),a56))),
% 135.35/135.52 inference(scs_inference,[],[925,1518,630,410,409,3750,2,20,3,83])).
% 135.35/135.52 cnf(3972,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(f35(a58,a2),a22),a57)),
% 135.35/135.52 inference(scs_inference,[],[925,1518,630,410,409,3162,3861,3750,2,20,3,83,92])).
% 135.35/135.52 cnf(3974,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(a55,a22),f35(a57,a25))),
% 135.35/135.52 inference(scs_inference,[],[925,1518,630,410,3088,409,3162,2490,3861,3750,2,20,3,83,92,91])).
% 135.35/135.52 cnf(3979,plain,
% 135.35/135.52 (P3(f51(a55))),
% 135.35/135.52 inference(scs_inference,[],[925,1073,1518,630,774,410,3088,409,3336,3162,2490,3856,3861,3869,99,3750,2,20,3,83,92,91,79,181,145])).
% 135.35/135.52 cnf(3984,plain,
% 135.35/135.52 (P5(f39(f51(a55),f51(a57),a56,a33),f51(a55))),
% 135.35/135.52 inference(scs_inference,[],[119,925,478,690,1073,862,1178,1518,630,774,410,3968,3088,409,1039,3336,3162,2490,3856,3861,3869,99,3750,2,20,3,83,92,91,79,181,145,202,287])).
% 135.35/135.52 cnf(3989,plain,
% 135.35/135.52 (P8(f35(a55,a22),f35(a58,a2))),
% 135.35/135.52 inference(scs_inference,[],[119,316,925,478,690,1073,862,1178,1518,630,1210,774,410,3968,3088,409,1039,1381,3336,3162,2490,3856,3861,3869,99,3750,2,20,3,83,92,91,79,181,145,202,287,2862,90,87,82])).
% 135.35/135.52 cnf(3992,plain,
% 135.35/135.52 (~E(f37(f35(f31(a32,a34),f31(a32,a34))),a1)),
% 135.35/135.52 inference(scs_inference,[],[119,316,925,478,690,1073,862,1178,1518,630,1210,774,410,3968,2081,3088,409,1039,1381,3730,3336,3162,2490,3856,3861,3869,99,3724,3750,2,20,3,83,92,91,79,181,145,202,287,2862,90,87,82,142,154])).
% 135.35/135.52 cnf(3997,plain,
% 135.35/135.52 (P1(f12(f31(a32,a34),f51(a33),f35(a33,a33)))),
% 135.35/135.52 inference(scs_inference,[],[119,316,925,478,690,1073,862,1178,1518,630,1210,774,410,3968,2081,3088,409,1039,1381,3730,885,3336,3162,2490,3612,3856,3861,3869,99,2818,3724,3750,2,20,3,83,92,91,79,181,145,202,287,2862,90,87,82,142,154,179,268])).
% 135.35/135.52 cnf(4011,plain,
% 135.35/135.52 (E(f52(a56,x40111),f52(f52(f51(a55),f51(a57)),x40111))),
% 135.35/135.52 inference(scs_inference,[],[1568,2])).
% 135.35/135.52 cnf(4013,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(a58,a2),f35(a57,a25))),
% 135.35/135.52 inference(scs_inference,[],[1590,1568,1420,1113,3974,2,3,92])).
% 135.35/135.52 cnf(4014,plain,
% 135.35/135.52 (P6(a58,f35(f35(a58,a2),a22),a57)),
% 135.35/135.52 inference(scs_inference,[],[1590,1568,1420,1113,3974,3972,495,2,3,92,91])).
% 135.35/135.52 cnf(4023,plain,
% 135.35/135.52 (P4(f50(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[119,112,298,862,1590,1568,1039,1420,2144,1113,3974,3972,3753,110,436,495,3979,2,3,92,91,237,287,288,3720,89,83])).
% 135.35/135.52 cnf(4036,plain,
% 135.35/135.52 (P5(f31(a32,a1),a56)),
% 135.35/135.52 inference(scs_inference,[],[119,112,130,298,1073,862,1590,1683,2195,1568,1039,1420,2144,2379,863,1113,3974,3513,3827,3972,3753,110,2818,436,495,3979,2,3,92,91,237,287,288,3720,89,83,142,227,88,156,172,173,236])).
% 135.35/135.52 cnf(4055,plain,
% 135.35/135.52 (~E(f35(f31(a32,a34),a33),a1)),
% 135.35/135.52 inference(scs_inference,[],[2799,2081,1186,2,3])).
% 135.35/135.52 cnf(4062,plain,
% 135.35/135.52 (P1(f35(f31(a26,a30),f31(a26,a30)))),
% 135.35/135.52 inference(scs_inference,[],[308,2799,1683,2081,992,1186,3802,3085,3979,2,3,81,227,156,173])).
% 135.35/135.52 cnf(4066,plain,
% 135.35/135.52 (~E(f37(f35(f31(a32,a34),a33)),a1)),
% 135.35/135.52 inference(scs_inference,[],[308,2799,1683,3461,2081,992,1186,3802,3085,3671,3979,2,3,81,227,156,173,172,154])).
% 135.35/135.52 cnf(4094,plain,
% 135.35/135.52 (E(f50(a56,x40941),f50(f52(f51(a55),f51(a57)),x40941))),
% 135.35/135.52 inference(scs_inference,[],[1519,2])).
% 135.35/135.52 cnf(4095,plain,
% 135.35/135.52 (E(a1,f35(a1,f35(a58,a2)))),
% 135.35/135.52 inference(scs_inference,[],[1519,2354,3856,2,3])).
% 135.35/135.52 cnf(4096,plain,
% 135.35/135.52 (E(f35(x40961,a55),f35(x40961,f35(a58,a2)))),
% 135.35/135.52 inference(rename_variables,[],[3856])).
% 135.35/135.52 cnf(4097,plain,
% 135.35/135.52 (P2(f35(a1,f35(a58,a2)),f35(a54,a1))),
% 135.35/135.52 inference(scs_inference,[],[1519,2354,2418,3856,4096,2,3,87])).
% 135.35/135.52 cnf(4101,plain,
% 135.35/135.52 (P5(f43(f35(f31(a32,a34),a33)),f51(a55))),
% 135.35/135.52 inference(scs_inference,[],[410,1519,2354,3671,2418,3856,4096,4055,3493,2,3,87,82,176])).
% 135.35/135.52 cnf(4151,plain,
% 135.35/135.52 (E(f51(f31(a1,a1)),f51(a1))),
% 135.35/135.52 inference(scs_inference,[],[119,925,690,1073,312,410,1519,2354,3671,2418,3861,3856,4096,4055,3493,2,3,87,82,176,179,207,47,52,46,59,39,8,31,29,6,55,18,32,12,65,57,15,41,74,4,45,70,21,9,38,26,62,5,37,25,64,49,69,30,24,33,23,44,76,40,11,58,36,54,19])).
% 135.35/135.52 cnf(4204,plain,
% 135.35/135.52 (P4(f51(f35(a58,a2)))),
% 135.35/135.52 inference(scs_inference,[],[119,925,690,1073,312,410,1519,2354,874,2709,3671,1593,2418,3861,3856,4096,4055,3493,2,3,87,82,176,179,207,47,52,46,59,39,8,31,29,6,55,18,32,12,65,57,15,41,74,4,45,70,21,9,38,26,62,5,37,25,64,49,69,30,24,33,23,44,76,40,11,58,36,54,19,75,72,186,66,14,13,63,16,7,28,60,42,17,27,51,67,10,71,150,50,185,35,140,56,149,68,43,22,48,73,53,61,158,187,34,146,160,161,144,153,141])).
% 135.35/135.52 cnf(4222,plain,
% 135.35/135.52 (E(f31(f35(a58,a2),a1),f35(a58,a2))),
% 135.35/135.52 inference(scs_inference,[],[119,925,690,1073,312,410,982,1519,2354,874,2709,3671,1593,2418,3861,3856,4096,4055,3970,3493,2,3,87,82,176,179,207,47,52,46,59,39,8,31,29,6,55,18,32,12,65,57,15,41,74,4,45,70,21,9,38,26,62,5,37,25,64,49,69,30,24,33,23,44,76,40,11,58,36,54,19,75,72,186,66,14,13,63,16,7,28,60,42,17,27,51,67,10,71,150,50,185,35,140,56,149,68,43,22,48,73,53,61,158,187,34,146,160,161,144,153,141,147,170,143,152,159,139,184,169,148])).
% 135.35/135.52 cnf(4227,plain,
% 135.35/135.52 (P5(f44(f35(f31(a32,a34),a33)),f51(a57))),
% 135.35/135.52 inference(scs_inference,[],[119,925,690,1073,312,410,982,1519,2354,874,2709,3671,1593,2418,3861,3856,4096,4055,3970,1220,3493,2,3,87,82,176,179,207,47,52,46,59,39,8,31,29,6,55,18,32,12,65,57,15,41,74,4,45,70,21,9,38,26,62,5,37,25,64,49,69,30,24,33,23,44,76,40,11,58,36,54,19,75,72,186,66,14,13,63,16,7,28,60,42,17,27,51,67,10,71,150,50,185,35,140,56,149,68,43,22,48,73,53,61,158,187,34,146,160,161,144,153,141,147,170,143,152,159,139,184,169,148,151,89,177])).
% 135.35/135.52 cnf(4247,plain,
% 135.35/135.52 (E(f35(f31(a32,a34),x42471),f35(a33,x42471))),
% 135.35/135.52 inference(rename_variables,[],[410])).
% 135.35/135.52 cnf(4248,plain,
% 135.35/135.52 (P2(f35(a58,f9(a58,a58)),f35(a58,f18(a58)))),
% 135.35/135.52 inference(scs_inference,[],[1590,410,1058,3124,3797,2,3,88])).
% 135.35/135.52 cnf(4253,plain,
% 135.35/135.52 (P3(f52(f51(a57),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[478,862,1590,410,1058,1528,2361,3124,3797,3721,109,322,2591,2,3,88,171,220,166])).
% 135.35/135.52 cnf(4262,plain,
% 135.35/135.52 (P8(f35(a58,f9(a58,a58)),f35(a58,f9(a58,a58)))),
% 135.35/135.52 inference(scs_inference,[],[478,862,1590,410,1058,409,2342,3120,1528,594,2361,3753,3124,3335,3797,3721,1043,109,97,100,99,322,2591,3156,2,3,88,171,220,166,202,239,272])).
% 135.35/135.52 cnf(4269,plain,
% 135.35/135.52 (P1(f35(a33,f12(f31(a32,a34),f51(a33),f35(a33,a33))))),
% 135.35/135.52 inference(scs_inference,[],[119,131,1069,478,862,1590,1568,410,4247,1058,409,2342,3120,1528,594,2361,2806,3753,3124,3335,3797,1187,3721,1043,109,97,100,99,322,2591,3156,2,3,88,171,220,166,202,239,272,254,90,77])).
% 135.35/135.52 cnf(4290,plain,
% 135.35/135.52 (P5(f31(a32,a57),a56)),
% 135.35/135.52 inference(scs_inference,[],[130,312,630,874,780,2,3,236])).
% 135.35/135.52 cnf(4295,plain,
% 135.35/135.52 (P5(f35(a57,a27),f50(f51(a57),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[130,312,862,1518,630,874,780,2704,1383,3663,109,100,2009,2,3,236,191,239])).
% 135.35/135.52 cnf(4322,plain,
% 135.35/135.52 (P6(f35(a58,f18(a58)),f35(f35(a58,a2),a22),a57)),
% 135.35/135.52 inference(scs_inference,[],[1590,780,1596,1940,4014,2,3,91])).
% 135.35/135.52 cnf(4335,plain,
% 135.35/135.52 (~E(f51(a15),x43351)+P3(f50(f51(a57),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[1073,690,862,1040,1590,1518,1683,780,1596,1940,2420,1206,1285,3777,4014,109,97,2591,1269,713,2,3,91,197,83,88,142,175,174,191,167])).
% 135.35/135.52 cnf(4349,plain,
% 135.35/135.52 (P3(f50(f51(a57),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(equality_inference,[],[4335])).
% 135.35/135.52 cnf(4373,plain,
% 135.35/135.52 (E(f35(a58,x43731),f35(f35(a58,f18(a58)),x43731))),
% 135.35/135.52 inference(scs_inference,[],[119,478,1590,1518,410,409,992,1940,3797,4151,4290,4269,109,97,100,3997,4349,4295,2,3,156,172,227,173,145,197,239,39,46,8])).
% 135.35/135.52 cnf(4378,plain,
% 135.35/135.52 (E(f35(x43781,a58),f35(x43781,f35(a58,f18(a58))))),
% 135.35/135.52 inference(scs_inference,[],[119,478,1590,1518,410,409,992,1940,3797,4151,4290,4269,109,97,100,3997,4349,4295,2,3,156,172,227,173,145,197,239,39,46,8,32,21,74,59,9])).
% 135.35/135.52 cnf(4502,plain,
% 135.35/135.52 (P1(f35(a54,a1))),
% 135.35/135.52 inference(scs_inference,[],[1683,299,660,1983,97,2,3,77])).
% 135.35/135.52 cnf(4509,plain,
% 135.35/135.52 (P1(f35(a54,a54))),
% 135.35/135.52 inference(scs_inference,[],[1683,982,299,660,1983,4036,109,97,100,98,2,3,77,172,156,227,173])).
% 135.35/135.52 cnf(4532,plain,
% 135.35/135.52 (P2(f35(f35(a58,a2),a16),a1)),
% 135.35/135.52 inference(scs_inference,[],[478,1073,1040,795,1178,1683,410,448,409,982,299,660,1983,1285,3861,4097,4036,3801,4378,109,97,100,98,102,426,860,2,3,77,172,156,227,173,181,157,207,237,182,183,202,162,197,87])).
% 135.35/135.52 cnf(4553,plain,
% 135.35/135.52 (P4(f51(f35(a1,a55)))),
% 135.35/135.52 inference(scs_inference,[],[2342,2,3135])).
% 135.35/135.52 cnf(4556,plain,
% 135.35/135.52 (P5(f35(a34,a33),a56)),
% 135.35/135.52 inference(scs_inference,[],[119,1590,3461,2342,4373,2,3135,3,207])).
% 135.35/135.52 cnf(4581,plain,
% 135.35/135.52 (P1(f35(f35(a58,f18(a58)),a15))),
% 135.35/135.52 inference(scs_inference,[],[399,1940,1273,2110,4373,930,3636,2,3,83,77])).
% 135.35/135.52 cnf(4621,plain,
% 135.35/135.52 (E(f35(a58,x46211),f35(f35(a58,f18(a58)),x46211))),
% 135.35/135.52 inference(rename_variables,[],[4373])).
% 135.35/135.52 cnf(4628,plain,
% 135.35/135.52 (E(f50(a56,x46281),f50(f52(f51(a55),f51(a57)),x46281))),
% 135.35/135.52 inference(rename_variables,[],[4094])).
% 135.35/135.52 cnf(4630,plain,
% 135.35/135.52 (~P9(f36(f37(a33)),f36(f38(f37(a33))))),
% 135.35/135.52 inference(scs_inference,[],[137,3967,3828,4553,4556,4322,4095,4532,4094,4378,1043,4373,628,982,630,729,795,4262,2849,3394,3262,102,97,188,2,198,174,175,157,179,91,3,208,220,218,265])).
% 135.35/135.52 cnf(4632,plain,
% 135.35/135.52 (P5(f31(a33,f31(a32,a34)),f52(a56,f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3828,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254])).
% 135.35/135.52 cnf(4678,plain,
% 135.35/135.52 (E(f12(x46781,f35(f31(a32,a34),f31(a32,a34)),x46782),f12(x46781,f35(a33,a33),x46782))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71])).
% 135.35/135.52 cnf(4690,plain,
% 135.35/135.52 (E(f12(x46901,x46902,f35(f31(a32,a34),f31(a32,a34))),f12(x46901,x46902,f35(a33,a33)))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72])).
% 135.35/135.52 cnf(4691,plain,
% 135.35/135.52 (E(f51(f35(f31(a32,a34),f31(a32,a34))),f51(f35(a33,a33)))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72,19])).
% 135.35/135.52 cnf(4735,plain,
% 135.35/135.52 (E(f35(x47351,f35(f31(a32,a34),f31(a32,a34))),f35(x47351,f35(a33,a33)))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72,19,27,50,54,51,69,38,16,7,5,6,23,56,73,60,63,48,67,28,36,33,45,58,64,57,75,35,53,26,52,61,25,24,70,4,47,30,55,42,29,17,76,37,44,9])).
% 135.35/135.52 cnf(4749,plain,
% 135.35/135.52 (E(f44(f35(f31(a32,a34),f31(a32,a34))),f44(f35(a33,a33)))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,1140,4094,4378,1043,4373,1528,628,982,630,729,795,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72,19,27,50,54,51,69,38,16,7,5,6,23,56,73,60,63,48,67,28,36,33,45,58,64,57,75,35,53,26,52,61,25,24,70,4,47,30,55,42,29,17,76,37,44,9,21,41,40,74,12,66,18,31,49,11,15,62,65,46])).
% 135.35/135.52 cnf(4759,plain,
% 135.35/135.52 (E(f35(a58,x47591),f35(f35(a58,f18(a58)),x47591))),
% 135.35/135.52 inference(rename_variables,[],[4373])).
% 135.35/135.52 cnf(4760,plain,
% 135.35/135.52 (P6(f35(a58,f9(a58,a58)),f35(f35(a58,f18(a58)),a2),f35(a57,a25))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,4248,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,4013,1140,4094,4378,1043,616,4373,4621,4759,1528,628,2712,982,630,729,795,4509,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72,19,27,50,54,51,69,38,16,7,5,6,23,56,73,60,63,48,67,28,36,33,45,58,64,57,75,35,53,26,52,61,25,24,70,4,47,30,55,42,29,17,76,37,44,9,21,41,40,74,12,66,18,31,49,11,15,62,65,46,59,8,32,39,155,142,88,92])).
% 135.35/135.52 cnf(4762,plain,
% 135.35/135.52 (P4(f50(f52(f51(a55),f51(a57)),f52(f51(a55),f51(a57))))),
% 135.35/135.52 inference(scs_inference,[],[137,119,3967,4023,4248,3397,3984,3416,2510,3828,3941,4502,4553,4556,4322,4095,4532,4013,1140,4094,4628,4378,1043,616,4373,4621,4759,1528,628,2712,982,630,729,795,4509,4262,4204,2849,3394,3262,102,97,109,188,2,198,174,175,157,179,91,3,208,220,218,265,254,151,169,152,144,147,148,141,160,146,158,139,153,170,185,143,184,161,140,159,149,187,71,10,150,43,68,13,186,22,14,34,72,19,27,50,54,51,69,38,16,7,5,6,23,56,73,60,63,48,67,28,36,33,45,58,64,57,75,35,53,26,52,61,25,24,70,4,47,30,55,42,29,17,76,37,44,9,21,41,40,74,12,66,18,31,49,11,15,62,65,46,59,8,32,39,155,142,88,92,83])).
% 135.35/135.52 cnf(4778,plain,
% 135.35/135.52 (E(f52(a56,x47781),f52(f52(f51(a55),f51(a57)),x47781))),
% 135.35/135.52 inference(rename_variables,[],[4011])).
% 135.35/135.52 cnf(4781,plain,
% 135.35/135.52 (E(f52(a56,x47811),f52(f52(f51(a55),f51(a57)),x47811))),
% 135.35/135.52 inference(rename_variables,[],[4011])).
% 135.35/135.52 cnf(4793,plain,
% 135.35/135.52 (E(f35(x47931,f35(f31(a32,a34),f31(a32,a34))),f35(x47931,f35(a33,a33)))),
% 135.35/135.52 inference(rename_variables,[],[4735])).
% 135.35/135.52 cnf(4839,plain,
% 135.35/135.52 (E(f31(f40(f37(a33)),f41(f37(a33))),f38(f37(a33)))),
% 135.35/135.52 inference(scs_inference,[],[112,131,4735,4793,4749,4691,1827,3992,3475,4066,3765,3546,3783,3989,4762,4227,4632,4222,3791,4760,4101,4011,4778,4781,3826,1065,2072,1811,1571,3335,1831,4055,731,4502,1447,3671,1043,1593,1528,982,729,795,690,1073,4253,4262,3724,3262,3156,860,930,125,3732,3736,2,203,204,192,154,181,176,80,78,93,3,258,257,241,242,191,268,226,236,251,240,288,202,265,198,174,175,163,81,233])).
% 135.35/135.52 cnf(4877,plain,
% 135.35/135.52 ($false),
% 135.35/135.52 inference(scs_inference,[],[4630,4678,4690,4839,2462,3086,4581,1005,3516,4691,1426,2769,3989,1220,1557,1013,3861,3730,1043,1009,2081,982,729,795,690,1073,4062,860,2,192,145,227,156,173,172,92,90,3,208,246,251,162,265]),
% 135.35/135.52 ['proof']).
% 135.35/135.52 % SZS output end Proof
% 135.35/135.52 % Total time :134.770000s
%------------------------------------------------------------------------------