TSTP Solution File: RNG103+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 13:48:10 EDT 2023
% Result : Theorem 174.27s 174.44s
% Output : CNFRefutation 174.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 02:45:53 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.58 start to proof:theBenchmark
% 174.27/174.42 %-------------------------------------------
% 174.27/174.42 % File :CSE---1.6
% 174.27/174.42 % Problem :theBenchmark
% 174.27/174.42 % Transform :cnf
% 174.27/174.42 % Format :tptp:raw
% 174.27/174.42 % Command :java -jar mcs_scs.jar %d %s
% 174.27/174.42
% 174.27/174.42 % Result :Theorem 173.590000s
% 174.27/174.42 % Output :CNFRefutation 173.590000s
% 174.27/174.42 %-------------------------------------------
% 174.27/174.43 %------------------------------------------------------------------------------
% 174.27/174.43 % File : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% 174.27/174.43 % Domain : Ring Theory
% 174.27/174.43 % Problem : Chinese remainder theorem in a ring 06_03, 00 expansion
% 174.27/174.43 % Version : Especial.
% 174.27/174.43 % English :
% 174.27/174.43
% 174.27/174.43 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 174.27/174.43 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 174.27/174.43 % Source : [Pas08]
% 174.27/174.43 % Names : chines_06_03.00 [Pas08]
% 174.27/174.43
% 174.27/174.43 % Status : Theorem
% 174.27/174.43 % Rating : 0.28 v7.4.0, 0.13 v7.3.0, 0.14 v7.1.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.40 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.56 v5.2.0, 0.40 v5.1.0, 0.48 v5.0.0, 0.50 v4.1.0, 0.52 v4.0.1, 0.83 v4.0.0
% 174.27/174.43 % Syntax : Number of formulae : 42 ( 5 unt; 9 def)
% 174.27/174.43 % Number of atoms : 159 ( 34 equ)
% 174.27/174.43 % Maximal formula atoms : 9 ( 3 avg)
% 174.27/174.43 % Number of connectives : 121 ( 4 ~; 1 |; 57 &)
% 174.27/174.43 % ( 12 <=>; 47 =>; 0 <=; 0 <~>)
% 174.27/174.43 % Maximal formula depth : 13 ( 5 avg)
% 174.27/174.43 % Maximal term depth : 3 ( 1 avg)
% 174.27/174.43 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 174.27/174.43 % Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% 174.27/174.43 % Number of variables : 83 ( 76 !; 7 ?)
% 174.27/174.43 % SPC : FOF_THM_RFO_SEQ
% 174.27/174.43
% 174.27/174.43 % Comments : Problem generated by the SAD system [VLP07]
% 174.27/174.43 %------------------------------------------------------------------------------
% 174.27/174.43 fof(mElmSort,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => $true ) ).
% 174.27/174.43
% 174.27/174.43 fof(mSortsC,axiom,
% 174.27/174.43 aElement0(sz00) ).
% 174.27/174.43
% 174.27/174.43 fof(mSortsC_01,axiom,
% 174.27/174.43 aElement0(sz10) ).
% 174.27/174.43
% 174.27/174.43 fof(mSortsU,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => aElement0(smndt0(W0)) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mSortsB,axiom,
% 174.27/174.43 ! [W0,W1] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1) )
% 174.27/174.43 => aElement0(sdtpldt0(W0,W1)) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mSortsB_02,axiom,
% 174.27/174.43 ! [W0,W1] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1) )
% 174.27/174.43 => aElement0(sdtasdt0(W0,W1)) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mAddComm,axiom,
% 174.27/174.43 ! [W0,W1] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1) )
% 174.27/174.43 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mAddAsso,axiom,
% 174.27/174.43 ! [W0,W1,W2] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1)
% 174.27/174.43 & aElement0(W2) )
% 174.27/174.43 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mAddZero,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => ( sdtpldt0(W0,sz00) = W0
% 174.27/174.43 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mAddInvr,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 174.27/174.43 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mMulComm,axiom,
% 174.27/174.43 ! [W0,W1] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1) )
% 174.27/174.43 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mMulAsso,axiom,
% 174.27/174.43 ! [W0,W1,W2] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1)
% 174.27/174.43 & aElement0(W2) )
% 174.27/174.43 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mMulUnit,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => ( sdtasdt0(W0,sz10) = W0
% 174.27/174.43 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mAMDistr,axiom,
% 174.27/174.43 ! [W0,W1,W2] :
% 174.27/174.43 ( ( aElement0(W0)
% 174.27/174.43 & aElement0(W1)
% 174.27/174.43 & aElement0(W2) )
% 174.27/174.43 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 174.27/174.43 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mMulMnOne,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.43 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 174.27/174.43 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 174.27/174.43
% 174.27/174.43 fof(mMulZero,axiom,
% 174.27/174.43 ! [W0] :
% 174.27/174.43 ( aElement0(W0)
% 174.27/174.44 => ( sdtasdt0(W0,sz00) = sz00
% 174.27/174.44 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mCancel,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1) )
% 174.27/174.44 => ( sdtasdt0(W0,W1) = sz00
% 174.27/174.44 => ( W0 = sz00
% 174.27/174.44 | W1 = sz00 ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mUnNeZr,axiom,
% 174.27/174.44 sz10 != sz00 ).
% 174.27/174.44
% 174.27/174.44 fof(mSetSort,axiom,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aSet0(W0)
% 174.27/174.44 => $true ) ).
% 174.27/174.44
% 174.27/174.44 fof(mEOfElem,axiom,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aSet0(W0)
% 174.27/174.44 => ! [W1] :
% 174.27/174.44 ( aElementOf0(W1,W0)
% 174.27/174.44 => aElement0(W1) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mSetEq,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aSet0(W0)
% 174.27/174.44 & aSet0(W1) )
% 174.27/174.44 => ( ( ! [W2] :
% 174.27/174.44 ( aElementOf0(W2,W0)
% 174.27/174.44 => aElementOf0(W2,W1) )
% 174.27/174.44 & ! [W2] :
% 174.27/174.44 ( aElementOf0(W2,W1)
% 174.27/174.44 => aElementOf0(W2,W0) ) )
% 174.27/174.44 => W0 = W1 ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefSSum,definition,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aSet0(W0)
% 174.27/174.44 & aSet0(W1) )
% 174.27/174.44 => ! [W2] :
% 174.27/174.44 ( W2 = sdtpldt1(W0,W1)
% 174.27/174.44 <=> ( aSet0(W2)
% 174.27/174.44 & ! [W3] :
% 174.27/174.44 ( aElementOf0(W3,W2)
% 174.27/174.44 <=> ? [W4,W5] :
% 174.27/174.44 ( aElementOf0(W4,W0)
% 174.27/174.44 & aElementOf0(W5,W1)
% 174.27/174.44 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefSInt,definition,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aSet0(W0)
% 174.27/174.44 & aSet0(W1) )
% 174.27/174.44 => ! [W2] :
% 174.27/174.44 ( W2 = sdtasasdt0(W0,W1)
% 174.27/174.44 <=> ( aSet0(W2)
% 174.27/174.44 & ! [W3] :
% 174.27/174.44 ( aElementOf0(W3,W2)
% 174.27/174.44 <=> ( aElementOf0(W3,W0)
% 174.27/174.44 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefIdeal,definition,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aIdeal0(W0)
% 174.27/174.44 <=> ( aSet0(W0)
% 174.27/174.44 & ! [W1] :
% 174.27/174.44 ( aElementOf0(W1,W0)
% 174.27/174.44 => ( ! [W2] :
% 174.27/174.44 ( aElementOf0(W2,W0)
% 174.27/174.44 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 174.27/174.44 & ! [W2] :
% 174.27/174.44 ( aElement0(W2)
% 174.27/174.44 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mIdeSum,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aIdeal0(W0)
% 174.27/174.44 & aIdeal0(W1) )
% 174.27/174.44 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mIdeInt,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aIdeal0(W0)
% 174.27/174.44 & aIdeal0(W1) )
% 174.27/174.44 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefMod,definition,
% 174.27/174.44 ! [W0,W1,W2] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1)
% 174.27/174.44 & aIdeal0(W2) )
% 174.27/174.44 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 174.27/174.44 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mChineseRemainder,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aIdeal0(W0)
% 174.27/174.44 & aIdeal0(W1) )
% 174.27/174.44 => ( ! [W2] :
% 174.27/174.44 ( aElement0(W2)
% 174.27/174.44 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 174.27/174.44 => ! [W2,W3] :
% 174.27/174.44 ( ( aElement0(W2)
% 174.27/174.44 & aElement0(W3) )
% 174.27/174.44 => ? [W4] :
% 174.27/174.44 ( aElement0(W4)
% 174.27/174.44 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 174.27/174.44 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mNatSort,axiom,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aNaturalNumber0(W0)
% 174.27/174.44 => $true ) ).
% 174.27/174.44
% 174.27/174.44 fof(mEucSort,axiom,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & W0 != sz00 )
% 174.27/174.44 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mNatLess,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aNaturalNumber0(W0)
% 174.27/174.44 & aNaturalNumber0(W1) )
% 174.27/174.44 => ( iLess0(W0,W1)
% 174.27/174.44 => $true ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDivision,axiom,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1)
% 174.27/174.44 & W1 != sz00 )
% 174.27/174.44 => ? [W2,W3] :
% 174.27/174.44 ( aElement0(W2)
% 174.27/174.44 & aElement0(W3)
% 174.27/174.44 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 174.27/174.44 & ( W3 != sz00
% 174.27/174.44 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefDiv,definition,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1) )
% 174.27/174.44 => ( doDivides0(W0,W1)
% 174.27/174.44 <=> ? [W2] :
% 174.27/174.44 ( aElement0(W2)
% 174.27/174.44 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefDvs,definition,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aElement0(W0)
% 174.27/174.44 => ! [W1] :
% 174.27/174.44 ( aDivisorOf0(W1,W0)
% 174.27/174.44 <=> ( aElement0(W1)
% 174.27/174.44 & doDivides0(W1,W0) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefGCD,definition,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1) )
% 174.27/174.44 => ! [W2] :
% 174.27/174.44 ( aGcdOfAnd0(W2,W0,W1)
% 174.27/174.44 <=> ( aDivisorOf0(W2,W0)
% 174.27/174.44 & aDivisorOf0(W2,W1)
% 174.27/174.44 & ! [W3] :
% 174.27/174.44 ( ( aDivisorOf0(W3,W0)
% 174.27/174.44 & aDivisorOf0(W3,W1) )
% 174.27/174.44 => doDivides0(W3,W2) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefRel,definition,
% 174.27/174.44 ! [W0,W1] :
% 174.27/174.44 ( ( aElement0(W0)
% 174.27/174.44 & aElement0(W1) )
% 174.27/174.44 => ( misRelativelyPrime0(W0,W1)
% 174.27/174.44 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(mDefPrIdeal,definition,
% 174.27/174.44 ! [W0] :
% 174.27/174.44 ( aElement0(W0)
% 174.27/174.44 => ! [W1] :
% 174.27/174.44 ( W1 = slsdtgt0(W0)
% 174.27/174.44 <=> ( aSet0(W1)
% 174.27/174.44 & ! [W2] :
% 174.27/174.44 ( aElementOf0(W2,W1)
% 174.27/174.44 <=> ? [W3] :
% 174.27/174.44 ( aElement0(W3)
% 174.27/174.44 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 174.27/174.44
% 174.27/174.44 fof(m__1905,hypothesis,
% 174.27/174.44 aElement0(xc) ).
% 174.27/174.44
% 174.27/174.44 fof(m__1933,hypothesis,
% 174.27/174.44 ( aElementOf0(xx,slsdtgt0(xc))
% 174.27/174.44 & aElementOf0(xy,slsdtgt0(xc))
% 174.27/174.44 & aElement0(xz) ) ).
% 174.27/174.44
% 174.27/174.44 fof(m__1956,hypothesis,
% 174.27/174.44 ( aElement0(xu)
% 174.27/174.44 & sdtasdt0(xc,xu) = xx ) ).
% 174.27/174.44
% 174.27/174.44 fof(m__1979,hypothesis,
% 174.27/174.44 ( aElement0(xv)
% 174.27/174.44 & sdtasdt0(xc,xv) = xy ) ).
% 174.27/174.44
% 174.27/174.44 fof(m__,conjecture,
% 174.27/174.44 sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ).
% 174.27/174.44
% 174.27/174.44 %------------------------------------------------------------------------------
% 174.27/174.44 %-------------------------------------------
% 174.27/174.44 % Proof found
% 174.27/174.44 % SZS status Theorem for theBenchmark
% 174.27/174.44 % SZS output start Proof
% 174.27/174.44 %ClaNum:180(EqnAxiom:83)
% 174.27/174.44 %VarNum:699(SingletonVarNum:212)
% 174.27/174.44 %MaxLitNum:8
% 174.27/174.44 %MaxfuncDepth:2
% 174.27/174.44 %SharedTerms:27
% 174.27/174.44 %goalClause: 95
% 174.27/174.44 %singleGoalClaCount:1
% 174.27/174.44 [84]P1(a1)
% 174.27/174.44 [85]P1(a29)
% 174.27/174.44 [86]P1(a30)
% 174.27/174.44 [87]P1(a31)
% 174.27/174.44 [88]P1(a32)
% 174.27/174.44 [89]P1(a33)
% 174.27/174.44 [94]~E(a1,a29)
% 174.27/174.44 [90]E(f2(a30,a32),a34)
% 174.27/174.44 [91]E(f2(a30,a33),a35)
% 174.27/174.44 [92]P3(a34,f25(a30))
% 174.27/174.44 [93]P3(a35,f25(a30))
% 174.27/174.44 [95]~E(f2(a30,f26(a32,a33)),f26(a34,a35))
% 174.27/174.44 [96]~P5(x961)+P4(x961)
% 174.27/174.44 [97]~P1(x971)+P1(f28(x971))
% 174.27/174.44 [99]~P1(x991)+E(f2(a1,x991),a1)
% 174.27/174.44 [100]~P1(x1001)+E(f2(x1001,a1),a1)
% 174.27/174.44 [102]~P1(x1021)+E(f26(a1,x1021),x1021)
% 174.27/174.44 [103]~P1(x1031)+E(f2(a29,x1031),x1031)
% 174.27/174.44 [104]~P1(x1041)+E(f26(x1041,a1),x1041)
% 174.27/174.44 [105]~P1(x1051)+E(f2(x1051,a29),x1051)
% 174.27/174.44 [106]~P1(x1061)+E(f26(f28(x1061),x1061),a1)
% 174.27/174.44 [107]~P1(x1071)+E(f26(x1071,f28(x1071)),a1)
% 174.27/174.44 [108]~P1(x1081)+E(f2(x1081,f28(a29)),f28(x1081))
% 174.27/174.44 [109]~P1(x1091)+E(f2(f28(a29),x1091),f28(x1091))
% 174.27/174.44 [98]~P1(x981)+E(x981,a1)+P7(f3(x981))
% 174.27/174.44 [110]~P4(x1101)+P5(x1101)+P3(f4(x1101),x1101)
% 174.27/174.44 [111]~P3(x1111,x1112)+P1(x1111)+~P4(x1112)
% 174.27/174.44 [112]~P2(x1121,x1122)+P1(x1121)+~P1(x1122)
% 174.27/174.44 [119]~P1(x1192)+~P2(x1191,x1192)+P8(x1191,x1192)
% 174.27/174.44 [101]~P1(x1012)+P4(x1011)+~E(x1011,f25(x1012))
% 174.27/174.44 [114]~P1(x1142)+~P1(x1141)+E(f26(x1141,x1142),f26(x1142,x1141))
% 174.27/174.44 [115]~P1(x1152)+~P1(x1151)+E(f2(x1151,x1152),f2(x1152,x1151))
% 174.27/174.44 [120]~P1(x1202)+~P1(x1201)+P1(f26(x1201,x1202))
% 174.27/174.44 [121]~P1(x1212)+~P1(x1211)+P1(f2(x1211,x1212))
% 174.27/174.44 [122]~P5(x1222)+~P5(x1221)+P5(f27(x1221,x1222))
% 174.27/174.44 [123]~P5(x1232)+~P5(x1231)+P5(f24(x1231,x1232))
% 174.27/174.44 [118]~P4(x1181)+P5(x1181)+P3(f6(x1181),x1181)+P1(f5(x1181))
% 174.27/174.44 [149]~P4(x1491)+P5(x1491)+P1(f5(x1491))+~P3(f26(f4(x1491),f6(x1491)),x1491)
% 174.27/174.44 [152]~P4(x1521)+P5(x1521)+P3(f6(x1521),x1521)+~P3(f2(f5(x1521),f4(x1521)),x1521)
% 174.27/174.44 [161]~P4(x1611)+P5(x1611)+~P3(f26(f4(x1611),f6(x1611)),x1611)+~P3(f2(f5(x1611),f4(x1611)),x1611)
% 174.27/174.44 [126]~P1(x1262)+~P1(x1261)+~P8(x1261,x1262)+P2(x1261,x1262)
% 174.27/174.44 [134]~P1(x1342)+~P1(x1341)+~P9(x1341,x1342)+P6(a29,x1341,x1342)
% 174.27/174.44 [142]~P1(x1422)+~P1(x1421)+P9(x1421,x1422)+~P6(a29,x1421,x1422)
% 174.27/174.44 [124]~P1(x1241)+~P1(x1242)+E(x1241,a1)+P1(f7(x1242,x1241))
% 174.27/174.44 [125]~P1(x1251)+~P1(x1252)+E(x1251,a1)+P1(f10(x1252,x1251))
% 174.27/174.44 [129]~P1(x1292)+~P1(x1291)+~P8(x1291,x1292)+P1(f11(x1291,x1292))
% 174.27/174.44 [133]~P1(x1332)+~P1(x1331)+~P8(x1331,x1332)+E(f2(x1331,f11(x1331,x1332)),x1332)
% 174.27/174.44 [154]~P1(x1541)+~P1(x1542)+E(x1541,a1)+E(f26(f2(f7(x1542,x1541),x1541),f10(x1542,x1541)),x1542)
% 174.27/174.44 [144]~P1(x1442)+~P6(x1441,x1443,x1442)+P2(x1441,x1442)+~P1(x1443)
% 174.27/174.44 [145]~P1(x1452)+~P6(x1451,x1452,x1453)+P2(x1451,x1452)+~P1(x1453)
% 174.27/174.44 [116]~P4(x1163)+~P4(x1162)+P4(x1161)+~E(x1161,f27(x1162,x1163))
% 174.27/174.44 [117]~P4(x1173)+~P4(x1172)+P4(x1171)+~E(x1171,f24(x1172,x1173))
% 174.27/174.44 [132]~P1(x1321)+~P5(x1323)+~P3(x1322,x1323)+P3(f2(x1321,x1322),x1323)
% 174.27/174.44 [136]~P5(x1363)+~P3(x1361,x1363)+~P3(x1362,x1363)+P3(f26(x1361,x1362),x1363)
% 174.27/174.44 [156]~P1(x1561)+~P3(x1563,x1562)+~E(x1562,f25(x1561))+P1(f14(x1561,x1562,x1563))
% 174.27/174.44 [139]~P1(x1393)+~P1(x1392)+~P1(x1391)+E(f26(f26(x1391,x1392),x1393),f26(x1391,f26(x1392,x1393)))
% 174.27/174.44 [140]~P1(x1403)+~P1(x1402)+~P1(x1401)+E(f2(f2(x1401,x1402),x1403),f2(x1401,f2(x1402,x1403)))
% 174.27/174.44 [150]~P1(x1503)+~P1(x1502)+~P1(x1501)+E(f26(f2(x1501,x1502),f2(x1501,x1503)),f2(x1501,f26(x1502,x1503)))
% 174.27/174.44 [151]~P1(x1512)+~P1(x1513)+~P1(x1511)+E(f26(f2(x1511,x1512),f2(x1513,x1512)),f2(f26(x1511,x1513),x1512))
% 174.27/174.44 [158]~P1(x1581)+~P3(x1583,x1582)+~E(x1582,f25(x1581))+E(f2(x1581,f14(x1581,x1582,x1583)),x1583)
% 174.27/174.44 [113]~P1(x1131)+~P1(x1132)+E(x1131,a1)+E(x1132,a1)+~E(f2(x1132,x1131),a1)
% 174.27/174.44 [135]~P1(x1352)+~P4(x1351)+P3(f13(x1352,x1351),x1351)+E(x1351,f25(x1352))+P1(f12(x1352,x1351))
% 174.27/174.44 [137]~P4(x1372)+~P4(x1371)+E(x1371,x1372)+P3(f16(x1371,x1372),x1371)+P3(f17(x1371,x1372),x1372)
% 174.27/174.44 [146]~P4(x1462)+~P4(x1461)+E(x1461,x1462)+P3(f16(x1461,x1462),x1461)+~P3(f17(x1461,x1462),x1461)
% 174.27/174.44 [147]~P4(x1472)+~P4(x1471)+E(x1471,x1472)+P3(f17(x1471,x1472),x1472)+~P3(f16(x1471,x1472),x1472)
% 174.27/174.44 [155]~P4(x1552)+~P4(x1551)+E(x1551,x1552)+~P3(f16(x1551,x1552),x1552)+~P3(f17(x1551,x1552),x1551)
% 174.27/174.44 [141]~P1(x1411)+~P1(x1412)+E(x1411,a1)+P10(f3(f10(x1412,x1411)),f3(x1411))+E(f10(x1412,x1411),a1)
% 174.27/174.44 [143]~P1(x1432)+~P4(x1431)+P3(f13(x1432,x1431),x1431)+E(x1431,f25(x1432))+E(f2(x1432,f12(x1432,x1431)),f13(x1432,x1431))
% 174.27/174.44 [127]~P1(x1272)+~P1(x1271)+~P1(x1273)+P8(x1271,x1272)+~E(f2(x1271,x1273),x1272)
% 174.27/174.44 [157]~P1(x1572)+~P1(x1571)+~P5(x1573)+P11(x1571,x1572,x1573)+~P3(f26(x1571,f28(x1572)),x1573)
% 174.27/174.44 [159]~P1(x1592)+~P1(x1591)+~P5(x1593)+~P11(x1591,x1592,x1593)+P3(f26(x1591,f28(x1592)),x1593)
% 174.27/174.44 [128]~P1(x1283)+~P1(x1284)+P3(x1281,x1282)+~E(f2(x1283,x1284),x1281)+~E(x1282,f25(x1283))
% 174.27/174.44 [130]~P4(x1304)+~P4(x1302)+~P3(x1301,x1303)+P3(x1301,x1302)+~E(x1303,f24(x1304,x1302))
% 174.27/174.44 [131]~P4(x1314)+~P4(x1312)+~P3(x1311,x1313)+P3(x1311,x1312)+~E(x1313,f24(x1312,x1314))
% 174.27/174.44 [172]~P4(x1722)+~P4(x1721)+~P3(x1724,x1723)+~E(x1723,f27(x1721,x1722))+P3(f19(x1721,x1722,x1723,x1724),x1721)
% 174.27/174.44 [173]~P4(x1732)+~P4(x1731)+~P3(x1734,x1733)+~E(x1733,f27(x1731,x1732))+P3(f20(x1731,x1732,x1733,x1734),x1732)
% 174.27/174.44 [180]~P4(x1802)+~P4(x1801)+~P3(x1804,x1803)+~E(x1803,f27(x1801,x1802))+E(f26(f19(x1801,x1802,x1803,x1804),f20(x1801,x1802,x1803,x1804)),x1804)
% 174.27/174.44 [153]~P1(x1533)+~P1(x1532)+~P4(x1531)+~P3(f13(x1532,x1531),x1531)+~E(f13(x1532,x1531),f2(x1532,x1533))+E(x1531,f25(x1532))
% 174.27/174.44 [162]~P1(x1623)+~P1(x1622)+~P2(x1621,x1623)+~P2(x1621,x1622)+P6(x1621,x1622,x1623)+P2(f15(x1622,x1623,x1621),x1623)
% 174.27/174.44 [163]~P1(x1633)+~P1(x1632)+~P2(x1631,x1633)+~P2(x1631,x1632)+P6(x1631,x1632,x1633)+P2(f15(x1632,x1633,x1631),x1632)
% 174.27/174.44 [164]~P4(x1641)+~P4(x1643)+~P4(x1642)+P3(f18(x1642,x1643,x1641),x1641)+P3(f21(x1642,x1643,x1641),x1642)+E(x1641,f27(x1642,x1643))
% 174.27/174.44 [165]~P4(x1651)+~P4(x1653)+~P4(x1652)+P3(f18(x1652,x1653,x1651),x1651)+P3(f22(x1652,x1653,x1651),x1653)+E(x1651,f27(x1652,x1653))
% 174.27/174.44 [166]~P4(x1661)+~P4(x1663)+~P4(x1662)+P3(f23(x1662,x1663,x1661),x1661)+P3(f23(x1662,x1663,x1661),x1663)+E(x1661,f24(x1662,x1663))
% 174.27/174.44 [167]~P4(x1671)+~P4(x1673)+~P4(x1672)+P3(f23(x1672,x1673,x1671),x1671)+P3(f23(x1672,x1673,x1671),x1672)+E(x1671,f24(x1672,x1673))
% 174.27/174.44 [168]~P1(x1683)+~P1(x1682)+~P2(x1681,x1683)+~P2(x1681,x1682)+P6(x1681,x1682,x1683)+~P8(f15(x1682,x1683,x1681),x1681)
% 174.27/174.44 [170]~P4(x1701)+~P4(x1703)+~P4(x1702)+P3(f18(x1702,x1703,x1701),x1701)+E(x1701,f27(x1702,x1703))+E(f26(f21(x1702,x1703,x1701),f22(x1702,x1703,x1701)),f18(x1702,x1703,x1701))
% 174.27/174.44 [160]~P2(x1601,x1603)+~P2(x1601,x1604)+~P6(x1602,x1604,x1603)+P8(x1601,x1602)+~P1(x1603)+~P1(x1604)
% 174.27/174.44 [138]~P4(x1384)+~P4(x1383)+~P3(x1381,x1384)+~P3(x1381,x1383)+P3(x1381,x1382)+~E(x1382,f24(x1383,x1384))
% 174.27/174.44 [171]~P1(x1714)+~P1(x1713)+~P5(x1712)+~P5(x1711)+P1(f8(x1711,x1712))+P1(f9(x1711,x1712,x1713,x1714))
% 174.27/174.44 [174]~P1(x1744)+~P1(x1743)+~P5(x1742)+~P5(x1741)+P11(f9(x1741,x1742,x1743,x1744),x1744,x1742)+P1(f8(x1741,x1742))
% 174.27/174.44 [175]~P1(x1754)+~P1(x1753)+~P5(x1752)+~P5(x1751)+P11(f9(x1751,x1752,x1753,x1754),x1753,x1751)+P1(f8(x1751,x1752))
% 174.27/174.44 [177]~P1(x1774)+~P1(x1773)+~P5(x1772)+~P5(x1771)+~P3(f8(x1771,x1772),f27(x1771,x1772))+P1(f9(x1771,x1772,x1773,x1774))
% 174.27/174.44 [178]~P1(x1784)+~P1(x1783)+~P5(x1782)+~P5(x1781)+P11(f9(x1781,x1782,x1783,x1784),x1784,x1782)+~P3(f8(x1781,x1782),f27(x1781,x1782))
% 174.27/174.44 [179]~P1(x1794)+~P1(x1793)+~P5(x1792)+~P5(x1791)+P11(f9(x1791,x1792,x1793,x1794),x1793,x1791)+~P3(f8(x1791,x1792),f27(x1791,x1792))
% 174.27/174.44 [176]~P4(x1761)+~P4(x1763)+~P4(x1762)+~P3(f23(x1762,x1763,x1761),x1761)+~P3(f23(x1762,x1763,x1761),x1763)+~P3(f23(x1762,x1763,x1761),x1762)+E(x1761,f24(x1762,x1763))
% 174.27/174.44 [148]~P4(x1484)+~P4(x1483)+~P3(x1486,x1484)+~P3(x1485,x1483)+P3(x1481,x1482)+~E(x1482,f27(x1483,x1484))+~E(f26(x1485,x1486),x1481)
% 174.27/174.44 [169]~P4(x1691)+~P4(x1693)+~P4(x1692)+~P3(x1695,x1693)+~P3(x1694,x1692)+~P3(f18(x1692,x1693,x1691),x1691)+E(x1691,f27(x1692,x1693))+~E(f26(x1694,x1695),f18(x1692,x1693,x1691))
% 174.27/174.44 %EqnAxiom
% 174.27/174.44 [1]E(x11,x11)
% 174.27/174.44 [2]E(x22,x21)+~E(x21,x22)
% 174.27/174.44 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 174.27/174.44 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 174.27/174.44 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 174.27/174.44 [6]~E(x61,x62)+E(f27(x61,x63),f27(x62,x63))
% 174.27/174.44 [7]~E(x71,x72)+E(f27(x73,x71),f27(x73,x72))
% 174.27/174.44 [8]~E(x81,x82)+E(f25(x81),f25(x82))
% 174.27/174.44 [9]~E(x91,x92)+E(f22(x91,x93,x94),f22(x92,x93,x94))
% 174.27/174.44 [10]~E(x101,x102)+E(f22(x103,x101,x104),f22(x103,x102,x104))
% 174.27/174.44 [11]~E(x111,x112)+E(f22(x113,x114,x111),f22(x113,x114,x112))
% 174.27/174.44 [12]~E(x121,x122)+E(f26(x121,x123),f26(x122,x123))
% 174.27/174.44 [13]~E(x131,x132)+E(f26(x133,x131),f26(x133,x132))
% 174.27/174.44 [14]~E(x141,x142)+E(f4(x141),f4(x142))
% 174.27/174.44 [15]~E(x151,x152)+E(f5(x151),f5(x152))
% 174.27/174.44 [16]~E(x161,x162)+E(f28(x161),f28(x162))
% 174.27/174.44 [17]~E(x171,x172)+E(f3(x171),f3(x172))
% 174.27/174.44 [18]~E(x181,x182)+E(f20(x181,x183,x184,x185),f20(x182,x183,x184,x185))
% 174.27/174.44 [19]~E(x191,x192)+E(f20(x193,x191,x194,x195),f20(x193,x192,x194,x195))
% 174.27/174.44 [20]~E(x201,x202)+E(f20(x203,x204,x201,x205),f20(x203,x204,x202,x205))
% 174.27/174.44 [21]~E(x211,x212)+E(f20(x213,x214,x215,x211),f20(x213,x214,x215,x212))
% 174.27/174.44 [22]~E(x221,x222)+E(f19(x221,x223,x224,x225),f19(x222,x223,x224,x225))
% 174.27/174.44 [23]~E(x231,x232)+E(f19(x233,x231,x234,x235),f19(x233,x232,x234,x235))
% 174.27/174.44 [24]~E(x241,x242)+E(f19(x243,x244,x241,x245),f19(x243,x244,x242,x245))
% 174.27/174.44 [25]~E(x251,x252)+E(f19(x253,x254,x255,x251),f19(x253,x254,x255,x252))
% 174.27/174.44 [26]~E(x261,x262)+E(f18(x261,x263,x264),f18(x262,x263,x264))
% 174.27/174.44 [27]~E(x271,x272)+E(f18(x273,x271,x274),f18(x273,x272,x274))
% 174.27/174.44 [28]~E(x281,x282)+E(f18(x283,x284,x281),f18(x283,x284,x282))
% 174.27/174.44 [29]~E(x291,x292)+E(f6(x291),f6(x292))
% 174.27/174.44 [30]~E(x301,x302)+E(f17(x301,x303),f17(x302,x303))
% 174.27/174.44 [31]~E(x311,x312)+E(f17(x313,x311),f17(x313,x312))
% 174.27/174.44 [32]~E(x321,x322)+E(f13(x321,x323),f13(x322,x323))
% 174.27/174.44 [33]~E(x331,x332)+E(f13(x333,x331),f13(x333,x332))
% 174.27/174.44 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 174.27/174.44 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 174.27/174.44 [36]~E(x361,x362)+E(f23(x361,x363,x364),f23(x362,x363,x364))
% 174.27/174.44 [37]~E(x371,x372)+E(f23(x373,x371,x374),f23(x373,x372,x374))
% 174.27/174.44 [38]~E(x381,x382)+E(f23(x383,x384,x381),f23(x383,x384,x382))
% 174.27/174.44 [39]~E(x391,x392)+E(f24(x391,x393),f24(x392,x393))
% 174.27/174.44 [40]~E(x401,x402)+E(f24(x403,x401),f24(x403,x402))
% 174.27/174.44 [41]~E(x411,x412)+E(f10(x411,x413),f10(x412,x413))
% 174.27/174.44 [42]~E(x421,x422)+E(f10(x423,x421),f10(x423,x422))
% 174.27/174.44 [43]~E(x431,x432)+E(f15(x431,x433,x434),f15(x432,x433,x434))
% 174.27/174.44 [44]~E(x441,x442)+E(f15(x443,x441,x444),f15(x443,x442,x444))
% 174.27/174.44 [45]~E(x451,x452)+E(f15(x453,x454,x451),f15(x453,x454,x452))
% 174.27/174.44 [46]~E(x461,x462)+E(f16(x461,x463),f16(x462,x463))
% 174.27/174.44 [47]~E(x471,x472)+E(f16(x473,x471),f16(x473,x472))
% 174.27/174.44 [48]~E(x481,x482)+E(f9(x481,x483,x484,x485),f9(x482,x483,x484,x485))
% 174.27/174.44 [49]~E(x491,x492)+E(f9(x493,x491,x494,x495),f9(x493,x492,x494,x495))
% 174.27/174.44 [50]~E(x501,x502)+E(f9(x503,x504,x501,x505),f9(x503,x504,x502,x505))
% 174.27/174.44 [51]~E(x511,x512)+E(f9(x513,x514,x515,x511),f9(x513,x514,x515,x512))
% 174.27/174.44 [52]~E(x521,x522)+E(f21(x521,x523,x524),f21(x522,x523,x524))
% 174.27/174.44 [53]~E(x531,x532)+E(f21(x533,x531,x534),f21(x533,x532,x534))
% 174.27/174.44 [54]~E(x541,x542)+E(f21(x543,x544,x541),f21(x543,x544,x542))
% 174.27/174.44 [55]~E(x551,x552)+E(f7(x551,x553),f7(x552,x553))
% 174.27/174.44 [56]~E(x561,x562)+E(f7(x563,x561),f7(x563,x562))
% 174.27/174.44 [57]~E(x571,x572)+E(f11(x571,x573),f11(x572,x573))
% 174.27/174.44 [58]~E(x581,x582)+E(f11(x583,x581),f11(x583,x582))
% 174.27/174.44 [59]~E(x591,x592)+E(f12(x591,x593),f12(x592,x593))
% 174.27/174.44 [60]~E(x601,x602)+E(f12(x603,x601),f12(x603,x602))
% 174.27/174.44 [61]~E(x611,x612)+E(f14(x611,x613,x614),f14(x612,x613,x614))
% 174.27/174.44 [62]~E(x621,x622)+E(f14(x623,x621,x624),f14(x623,x622,x624))
% 174.27/174.44 [63]~E(x631,x632)+E(f14(x633,x634,x631),f14(x633,x634,x632))
% 174.27/174.44 [64]~P1(x641)+P1(x642)+~E(x641,x642)
% 174.27/174.44 [65]P3(x652,x653)+~E(x651,x652)+~P3(x651,x653)
% 174.27/174.44 [66]P3(x663,x662)+~E(x661,x662)+~P3(x663,x661)
% 174.27/174.44 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 174.27/174.44 [68]P10(x682,x683)+~E(x681,x682)+~P10(x681,x683)
% 174.27/174.44 [69]P10(x693,x692)+~E(x691,x692)+~P10(x693,x691)
% 174.27/174.44 [70]~P5(x701)+P5(x702)+~E(x701,x702)
% 174.27/174.44 [71]P2(x712,x713)+~E(x711,x712)+~P2(x711,x713)
% 174.27/174.44 [72]P2(x723,x722)+~E(x721,x722)+~P2(x723,x721)
% 174.27/174.44 [73]P6(x732,x733,x734)+~E(x731,x732)+~P6(x731,x733,x734)
% 174.27/174.44 [74]P6(x743,x742,x744)+~E(x741,x742)+~P6(x743,x741,x744)
% 174.27/174.44 [75]P6(x753,x754,x752)+~E(x751,x752)+~P6(x753,x754,x751)
% 174.27/174.44 [76]P11(x762,x763,x764)+~E(x761,x762)+~P11(x761,x763,x764)
% 174.27/174.44 [77]P11(x773,x772,x774)+~E(x771,x772)+~P11(x773,x771,x774)
% 174.27/174.44 [78]P11(x783,x784,x782)+~E(x781,x782)+~P11(x783,x784,x781)
% 174.27/174.44 [79]P9(x792,x793)+~E(x791,x792)+~P9(x791,x793)
% 174.27/174.44 [80]P9(x803,x802)+~E(x801,x802)+~P9(x803,x801)
% 174.27/174.44 [81]P8(x812,x813)+~E(x811,x812)+~P8(x811,x813)
% 174.27/174.44 [82]P8(x823,x822)+~E(x821,x822)+~P8(x823,x821)
% 174.27/174.44 [83]~P7(x831)+P7(x832)+~E(x831,x832)
% 174.27/174.44
% 174.27/174.44 %-------------------------------------------
% 174.27/174.45 cnf(181,plain,
% 174.27/174.45 (E(a34,f2(a30,a32))),
% 174.27/174.45 inference(scs_inference,[],[90,2])).
% 174.27/174.45 cnf(182,plain,
% 174.27/174.45 (P3(f2(a30,a32),f25(a30))),
% 174.27/174.45 inference(scs_inference,[],[90,92,2,65])).
% 174.27/174.45 cnf(183,plain,
% 174.27/174.45 (E(f2(a1,a29),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,90,92,2,65,105])).
% 174.27/174.45 cnf(185,plain,
% 174.27/174.45 (E(f26(a1,a1),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,90,92,2,65,105,104])).
% 174.27/174.45 cnf(187,plain,
% 174.27/174.45 (E(f2(a29,a1),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,90,92,2,65,105,104,103])).
% 174.27/174.45 cnf(189,plain,
% 174.27/174.45 (E(f26(a1,a29),a29)),
% 174.27/174.45 inference(scs_inference,[],[84,85,90,92,2,65,105,104,103,102])).
% 174.27/174.45 cnf(191,plain,
% 174.27/174.45 (E(f2(a1,a1),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,90,92,2,65,105,104,103,102,100])).
% 174.27/174.45 cnf(193,plain,
% 174.27/174.45 (E(f2(a1,a30),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99])).
% 174.27/174.45 cnf(195,plain,
% 174.27/174.45 (P1(f28(a1))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97])).
% 174.27/174.45 cnf(197,plain,
% 174.27/174.45 (E(f14(x1971,x1972,f2(a30,a32)),f14(x1971,x1972,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63])).
% 174.27/174.45 cnf(198,plain,
% 174.27/174.45 (E(f14(x1981,f2(a30,a32),x1982),f14(x1981,a34,x1982))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62])).
% 174.27/174.45 cnf(199,plain,
% 174.27/174.45 (E(f14(f2(a30,a32),x1991,x1992),f14(a34,x1991,x1992))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61])).
% 174.27/174.45 cnf(200,plain,
% 174.27/174.45 (E(f12(x2001,f2(a30,a32)),f12(x2001,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60])).
% 174.27/174.45 cnf(201,plain,
% 174.27/174.45 (E(f12(f2(a30,a32),x2011),f12(a34,x2011))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59])).
% 174.27/174.45 cnf(202,plain,
% 174.27/174.45 (E(f11(x2021,f2(a30,a32)),f11(x2021,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58])).
% 174.27/174.45 cnf(203,plain,
% 174.27/174.45 (E(f11(f2(a30,a32),x2031),f11(a34,x2031))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57])).
% 174.27/174.45 cnf(204,plain,
% 174.27/174.45 (E(f7(x2041,f2(a30,a32)),f7(x2041,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56])).
% 174.27/174.45 cnf(205,plain,
% 174.27/174.45 (E(f7(f2(a30,a32),x2051),f7(a34,x2051))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55])).
% 174.27/174.45 cnf(206,plain,
% 174.27/174.45 (E(f21(x2061,x2062,f2(a30,a32)),f21(x2061,x2062,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54])).
% 174.27/174.45 cnf(207,plain,
% 174.27/174.45 (E(f21(x2071,f2(a30,a32),x2072),f21(x2071,a34,x2072))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53])).
% 174.27/174.45 cnf(208,plain,
% 174.27/174.45 (E(f21(f2(a30,a32),x2081,x2082),f21(a34,x2081,x2082))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52])).
% 174.27/174.45 cnf(209,plain,
% 174.27/174.45 (E(f9(x2091,x2092,x2093,f2(a30,a32)),f9(x2091,x2092,x2093,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51])).
% 174.27/174.45 cnf(210,plain,
% 174.27/174.45 (E(f9(x2101,x2102,f2(a30,a32),x2103),f9(x2101,x2102,a34,x2103))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50])).
% 174.27/174.45 cnf(211,plain,
% 174.27/174.45 (E(f9(x2111,f2(a30,a32),x2112,x2113),f9(x2111,a34,x2112,x2113))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49])).
% 174.27/174.45 cnf(212,plain,
% 174.27/174.45 (E(f9(f2(a30,a32),x2121,x2122,x2123),f9(a34,x2121,x2122,x2123))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48])).
% 174.27/174.45 cnf(213,plain,
% 174.27/174.45 (E(f16(x2131,f2(a30,a32)),f16(x2131,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47])).
% 174.27/174.45 cnf(215,plain,
% 174.27/174.45 (E(f15(x2151,x2152,f2(a30,a32)),f15(x2151,x2152,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45])).
% 174.27/174.45 cnf(217,plain,
% 174.27/174.45 (E(f15(f2(a30,a32),x2171,x2172),f15(a34,x2171,x2172))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43])).
% 174.27/174.45 cnf(235,plain,
% 174.27/174.45 (E(f19(x2351,x2352,x2353,f2(a30,a32)),f19(x2351,x2352,x2353,a34))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25])).
% 174.27/174.45 cnf(236,plain,
% 174.27/174.45 (E(f19(x2361,x2362,f2(a30,a32),x2363),f19(x2361,x2362,a34,x2363))),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24])).
% 174.27/174.45 cnf(261,plain,
% 174.27/174.45 (E(f26(a1,f28(a1)),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,109,108,107])).
% 174.27/174.45 cnf(263,plain,
% 174.27/174.45 (E(f26(f28(a1),a1),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,109,108,107,106])).
% 174.27/174.45 cnf(265,plain,
% 174.27/174.45 (~E(a1,x2651)+P1(x2651)),
% 174.27/174.45 inference(scs_inference,[],[84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,109,108,107,106,64])).
% 174.27/174.45 cnf(266,plain,
% 174.27/174.45 (~E(f2(a30,f26(a32,a33)),f26(f2(a30,a32),a35))),
% 174.27/174.45 inference(scs_inference,[],[95,84,85,86,90,92,2,65,105,104,103,102,100,99,97,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,109,108,107,106,64,3])).
% 174.27/174.45 cnf(294,plain,
% 174.27/174.45 (P8(a1,a1)),
% 174.27/174.45 inference(scs_inference,[],[84,191,127])).
% 174.27/174.45 cnf(296,plain,
% 174.27/174.45 (P1(f26(a31,a31))),
% 174.27/174.45 inference(scs_inference,[],[87,84,191,127,120])).
% 174.27/174.45 cnf(308,plain,
% 174.27/174.45 (P1(f2(a31,a31))),
% 174.27/174.45 inference(scs_inference,[],[95,87,84,209,210,191,127,120,140,139,150,2,3,121])).
% 174.27/174.45 cnf(337,plain,
% 174.27/174.45 (E(f26(f2(a1,a1),f2(a1,a1)),f2(a1,f26(a1,a1)))),
% 174.27/174.45 inference(scs_inference,[],[84,139,150])).
% 174.27/174.45 cnf(341,plain,
% 174.27/174.45 (E(f26(f2(a1,a1),f2(a1,a1)),f2(f26(a1,a1),a1))),
% 174.27/174.45 inference(scs_inference,[],[84,139,150,140,151])).
% 174.27/174.45 cnf(343,plain,
% 174.27/174.45 (E(a35,f2(a30,a33))),
% 174.27/174.45 inference(scs_inference,[],[84,91,139,150,140,151,2])).
% 174.27/174.45 cnf(347,plain,
% 174.27/174.45 (P1(x3471)+~P2(x3471,a1)),
% 174.27/174.45 inference(scs_inference,[],[84,91,211,212,139,150,140,151,2,3,112])).
% 174.27/174.45 cnf(349,plain,
% 174.27/174.45 (E(f2(a1,f11(a1,a1)),a1)),
% 174.27/174.45 inference(scs_inference,[],[84,91,211,212,294,139,150,140,151,2,3,112,133])).
% 174.27/174.45 cnf(376,plain,
% 174.27/174.45 (P8(a29,a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,187,127])).
% 174.27/174.45 cnf(378,plain,
% 174.27/174.45 (P2(a1,a1)),
% 174.27/174.45 inference(scs_inference,[],[84,85,187,294,127,126])).
% 174.27/174.45 cnf(380,plain,
% 174.27/174.45 (P1(f11(a1,a1))),
% 174.27/174.45 inference(scs_inference,[],[84,85,187,294,127,126,129])).
% 174.27/174.45 cnf(382,plain,
% 174.27/174.45 (~E(a29,a1)),
% 174.27/174.45 inference(scs_inference,[],[84,94,85,187,294,127,126,129,2])).
% 174.27/174.45 cnf(383,plain,
% 174.27/174.45 (~E(a1,f26(a1,a29))),
% 174.27/174.45 inference(scs_inference,[],[84,94,85,187,189,294,127,126,129,2,3])).
% 174.27/174.45 cnf(388,plain,
% 174.27/174.45 (P1(f10(a1,a29))),
% 174.27/174.45 inference(scs_inference,[],[84,94,85,92,187,189,294,127,126,129,2,3,132,154,125])).
% 174.27/174.45 cnf(390,plain,
% 174.27/174.45 (P1(f7(a1,a29))),
% 174.27/174.45 inference(scs_inference,[],[84,94,85,92,187,189,294,127,126,129,2,3,132,154,125,124])).
% 174.27/174.45 cnf(409,plain,
% 174.27/174.45 (E(f26(f2(f7(a29,a29),a29),f10(a29,a29)),a29)),
% 174.27/174.45 inference(scs_inference,[],[85,382,98,154])).
% 174.27/174.45 cnf(411,plain,
% 174.27/174.45 (P1(f7(a29,a29))),
% 174.27/174.45 inference(scs_inference,[],[85,382,98,154,124])).
% 174.27/174.45 cnf(413,plain,
% 174.27/174.45 (P1(f10(a29,a29))),
% 174.27/174.45 inference(scs_inference,[],[85,382,98,154,124,125])).
% 174.27/174.45 cnf(415,plain,
% 174.27/174.45 (E(f2(a1,f26(a1,a1)),f26(f2(a1,a1),f2(a1,a1)))),
% 174.27/174.46 inference(scs_inference,[],[85,337,382,98,154,124,125,2])).
% 174.27/174.46 cnf(420,plain,
% 174.27/174.46 (~E(f2(a29,a29),a1)),
% 174.27/174.46 inference(scs_inference,[],[85,337,235,236,382,98,154,124,125,2,3,83,113])).
% 174.27/174.46 cnf(437,plain,
% 174.27/174.46 (E(f2(a29,a29),a29)),
% 174.27/174.46 inference(scs_inference,[],[85,415,341,266,382,3,2,141,104,103])).
% 174.27/174.46 cnf(441,plain,
% 174.27/174.46 (P1(f28(a29))),
% 174.27/174.46 inference(scs_inference,[],[85,88,415,341,266,382,3,2,141,104,103,100,97])).
% 174.27/174.46 cnf(443,plain,
% 174.27/174.46 (P8(a29,a29)),
% 174.27/174.46 inference(scs_inference,[],[85,88,415,341,266,382,3,2,141,104,103,100,97,127])).
% 174.27/174.46 cnf(521,plain,
% 174.27/174.46 (E(f25(f2(a1,a29)),f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8])).
% 174.27/174.46 cnf(524,plain,
% 174.27/174.46 (E(f2(f2(a1,a29),x5241),f2(a1,x5241))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4])).
% 174.27/174.46 cnf(527,plain,
% 174.27/174.46 (~E(a1,f26(f2(f7(a29,a29),a29),f10(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,443,85,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3])).
% 174.27/174.46 cnf(528,plain,
% 174.27/174.46 (E(a1,f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,443,85,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3,2])).
% 174.27/174.46 cnf(529,plain,
% 174.27/174.46 (P1(f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,443,85,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3,2,265])).
% 174.27/174.46 cnf(532,plain,
% 174.27/174.46 (P3(a1,f25(f2(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,193,443,378,85,84,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3,2,265,160,128])).
% 174.27/174.46 cnf(534,plain,
% 174.27/174.46 (P4(f25(f2(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,193,443,378,85,84,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3,2,265,160,128,101])).
% 174.27/174.46 cnf(536,plain,
% 174.27/174.46 (P1(f14(a1,f25(f2(a1,a29)),a1))),
% 174.27/174.46 inference(scs_inference,[],[86,183,88,94,409,193,443,378,85,84,102,105,63,61,59,55,53,52,51,50,49,48,46,43,39,35,34,32,28,27,26,22,19,18,17,15,13,10,9,5,109,108,107,106,99,62,60,58,57,56,54,47,45,44,42,41,40,38,37,36,33,31,30,29,25,24,23,21,20,16,14,12,11,8,7,6,4,133,3,2,265,160,128,101,156])).
% 174.27/174.46 cnf(547,plain,
% 174.27/174.46 (P4(f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[534,521,67])).
% 174.27/174.46 cnf(548,plain,
% 174.27/174.46 (P3(a1,f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[534,521,532,67,66])).
% 174.27/174.46 cnf(549,plain,
% 174.27/174.46 (P1(f26(a30,a30))),
% 174.27/174.46 inference(scs_inference,[],[86,534,521,532,67,66,120])).
% 174.27/174.46 cnf(551,plain,
% 174.27/174.46 (P8(a29,f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,534,521,532,528,376,67,66,120,82])).
% 174.27/174.46 cnf(553,plain,
% 174.27/174.46 (P2(a1,f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,534,521,532,528,376,378,294,67,66,120,82,81,72])).
% 174.27/174.46 cnf(554,plain,
% 174.27/174.46 (P2(f2(a1,a29),a1)),
% 174.27/174.46 inference(scs_inference,[],[86,534,521,532,528,376,378,294,67,66,120,82,81,72,71])).
% 174.27/174.46 cnf(555,plain,
% 174.27/174.46 (P1(f2(a30,a30))),
% 174.27/174.46 inference(scs_inference,[],[86,534,521,532,528,376,378,294,67,66,120,82,81,72,71,121])).
% 174.27/174.46 cnf(558,plain,
% 174.27/174.46 (E(f2(a1,f11(a1,a1)),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,93,349,534,521,343,532,528,376,378,294,67,66,120,82,81,72,71,121,65,3])).
% 174.27/174.46 cnf(559,plain,
% 174.27/174.46 (~E(a1,f2(a29,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,93,349,534,521,343,420,532,528,376,378,294,67,66,120,82,81,72,71,121,65,3,2])).
% 174.27/174.46 cnf(560,plain,
% 174.27/174.46 (P3(a1,x5601)+~E(x5601,f27(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[86,93,349,534,521,185,343,420,532,528,376,378,294,67,66,120,82,81,72,71,121,65,3,2,148])).
% 174.27/174.46 cnf(562,plain,
% 174.27/174.46 (P8(a1,f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[86,93,349,534,529,521,185,343,420,532,528,376,378,294,67,66,120,82,81,72,71,121,65,3,2,148,119])).
% 174.27/174.46 cnf(572,plain,
% 174.27/174.46 (P3(a1,f27(f25(a1),f25(a1)))),
% 174.27/174.46 inference(equality_inference,[],[560])).
% 174.27/174.46 cnf(573,plain,
% 174.27/174.46 (P1(f26(a32,a32))),
% 174.27/174.46 inference(scs_inference,[],[88,120])).
% 174.27/174.46 cnf(579,plain,
% 174.27/174.46 (E(f26(f2(a32,a32),f2(a32,a32)),f2(f26(a32,a32),a32))),
% 174.27/174.46 inference(scs_inference,[],[88,120,139,150,151])).
% 174.27/174.46 cnf(583,plain,
% 174.27/174.46 (P1(f2(a32,a32))),
% 174.27/174.46 inference(scs_inference,[],[88,120,139,150,151,140,121])).
% 174.27/174.46 cnf(585,plain,
% 174.27/174.46 (~E(f2(a29,a29),f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[185,88,420,120,139,150,151,140,121,3])).
% 174.27/174.46 cnf(586,plain,
% 174.27/174.46 (E(a1,f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[185,88,420,120,139,150,151,140,121,3,2])).
% 174.27/174.46 cnf(589,plain,
% 174.27/174.46 (P2(a29,f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[185,88,547,551,529,420,85,120,139,150,151,140,121,3,2,176,126])).
% 174.27/174.46 cnf(606,plain,
% 174.27/174.46 (P1(f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[89,586,84,150,64])).
% 174.27/174.46 cnf(609,plain,
% 174.27/174.46 (E(f26(f2(a33,a33),f2(a33,a33)),f2(f26(a33,a33),a33))),
% 174.27/174.46 inference(scs_inference,[],[89,586,84,150,64,139,151])).
% 174.27/174.46 cnf(613,plain,
% 174.27/174.46 (P3(f26(a1,a1),f27(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[89,586,572,84,150,64,139,151,140,65])).
% 174.27/174.46 cnf(614,plain,
% 174.27/174.46 (~E(f26(a1,a1),a29)),
% 174.27/174.46 inference(scs_inference,[],[94,89,586,572,84,150,64,139,151,140,65,3])).
% 174.27/174.46 cnf(618,plain,
% 174.27/174.46 (E(f25(a1),f24(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[94,89,585,586,572,547,84,150,64,139,151,140,65,3,2,167,176])).
% 174.27/174.46 cnf(620,plain,
% 174.27/174.46 (E(f26(a32,a1),a32)),
% 174.27/174.46 inference(scs_inference,[],[88,104])).
% 174.27/174.46 cnf(624,plain,
% 174.27/174.46 (P1(f28(a32))),
% 174.27/174.46 inference(scs_inference,[],[88,104,103,97])).
% 174.27/174.46 cnf(628,plain,
% 174.27/174.46 (P2(a29,a29)),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,85,104,103,97,154,126])).
% 174.27/174.46 cnf(630,plain,
% 174.27/174.46 (P1(f10(a32,a29))),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,85,104,103,97,154,126,125])).
% 174.27/174.46 cnf(632,plain,
% 174.27/174.46 (P1(f7(a32,a29))),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,85,104,103,97,154,126,125,124])).
% 174.27/174.46 cnf(636,plain,
% 174.27/174.46 (E(f26(f2(a30,a30),f2(a30,a30)),f2(f26(a30,a30),a30))),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,86,85,104,103,97,154,126,125,124,139,151])).
% 174.27/174.46 cnf(638,plain,
% 174.27/174.46 (E(f26(f2(a30,a30),f2(a30,a30)),f2(a30,f26(a30,a30)))),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,86,85,104,103,97,154,126,125,124,139,151,150])).
% 174.27/174.46 cnf(640,plain,
% 174.27/174.46 (E(f2(f2(a30,a30),a30),f2(a30,f2(a30,a30)))),
% 174.27/174.46 inference(scs_inference,[],[88,443,382,86,85,104,103,97,154,126,125,124,139,151,150,140])).
% 174.27/174.46 cnf(642,plain,
% 174.27/174.46 (E(f2(a29,a1),f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[88,187,443,586,382,86,85,104,103,97,154,126,125,124,139,151,150,140,3])).
% 174.27/174.46 cnf(643,plain,
% 174.27/174.46 (E(a1,f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[88,187,443,586,382,86,85,104,103,97,154,126,125,124,139,151,150,140,3,2])).
% 174.27/174.46 cnf(672,plain,
% 174.27/174.46 (P1(f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[643,265])).
% 174.27/174.46 cnf(673,plain,
% 174.27/174.46 (P1(f11(a29,a29))),
% 174.27/174.46 inference(scs_inference,[],[643,443,85,265,129])).
% 174.27/174.46 cnf(675,plain,
% 174.27/174.46 (~E(f2(a29,a29),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[187,643,420,443,85,265,129,3])).
% 174.27/174.46 cnf(681,plain,
% 174.27/174.46 (E(f26(a32,f28(a32)),a1)),
% 174.27/174.46 inference(scs_inference,[],[88,182,187,614,643,420,443,547,85,265,129,3,2,130,109,107])).
% 174.27/174.46 cnf(683,plain,
% 174.27/174.46 (E(f26(f28(a32),a32),a1)),
% 174.27/174.46 inference(scs_inference,[],[88,182,187,614,643,420,443,547,85,265,129,3,2,130,109,107,106])).
% 174.27/174.46 cnf(704,plain,
% 174.27/174.46 (E(f26(x7041,f2(a30,a33)),f26(x7041,a35))),
% 174.27/174.46 inference(scs_inference,[],[88,182,91,187,89,614,643,420,443,547,85,265,129,3,2,130,109,107,106,102,99,105,63,61,59,53,51,50,49,43,35,32,26,22,19,13])).
% 174.27/174.46 cnf(734,plain,
% 174.27/174.46 (E(f27(x7341,f2(a30,a33)),f27(x7341,a35))),
% 174.27/174.46 inference(scs_inference,[],[88,182,91,187,89,614,643,420,443,547,85,265,129,3,2,130,109,107,106,102,99,105,63,61,59,53,51,50,49,43,35,32,26,22,19,13,9,108,62,58,55,54,52,48,46,42,41,39,37,36,34,33,31,29,28,27,24,20,18,17,15,14,12,10,7])).
% 174.27/174.46 cnf(761,plain,
% 174.27/174.46 (~E(f2(a29,a1),a29)),
% 174.27/174.46 inference(scs_inference,[],[94,643,3])).
% 174.27/174.46 cnf(762,plain,
% 174.27/174.46 (E(a29,f26(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[189,94,643,3,2])).
% 174.27/174.46 cnf(776,plain,
% 174.27/174.46 (P1(f26(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[762,85,64])).
% 174.27/174.46 cnf(777,plain,
% 174.27/174.46 (E(f26(a1,a1),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[185,762,643,85,64,3])).
% 174.27/174.46 cnf(778,plain,
% 174.27/174.46 (~E(f26(f2(f7(a29,a29),a29),f10(a29,a29)),a1)),
% 174.27/174.46 inference(scs_inference,[],[185,527,762,643,85,64,3,2])).
% 174.27/174.46 cnf(781,plain,
% 174.27/174.46 (P1(f26(a33,a33))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,643,547,85,64,3,2,110,120])).
% 174.27/174.46 cnf(783,plain,
% 174.27/174.46 (P8(f26(a1,a29),a1)),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,376,643,547,85,64,3,2,110,120,81])).
% 174.27/174.46 cnf(784,plain,
% 174.27/174.46 (P3(a1,f24(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,376,548,618,643,547,85,64,3,2,110,120,81,66])).
% 174.27/174.46 cnf(785,plain,
% 174.27/174.46 (P2(f2(a29,a1),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,553,376,548,618,643,547,85,64,3,2,110,120,81,66,71])).
% 174.27/174.46 cnf(786,plain,
% 174.27/174.46 (P8(a29,f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,553,376,548,618,643,547,85,64,3,2,110,120,81,66,71,82])).
% 174.27/174.46 cnf(787,plain,
% 174.27/174.46 (P1(f2(a33,a33))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,553,376,548,618,643,547,85,64,3,2,110,120,81,66,71,82,121])).
% 174.27/174.46 cnf(789,plain,
% 174.27/174.46 (P2(f2(a1,a29),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[89,185,527,762,553,554,376,548,618,643,547,85,64,3,2,110,120,81,66,71,82,121,72])).
% 174.27/174.46 cnf(800,plain,
% 174.27/174.46 (P1(f26(f2(a33,a33),f2(a33,a33)))),
% 174.27/174.46 inference(scs_inference,[],[787,120])).
% 174.27/174.46 cnf(802,plain,
% 174.27/174.46 (P1(f2(f2(a33,a33),f2(a33,a33)))),
% 174.27/174.46 inference(scs_inference,[],[787,120,121])).
% 174.27/174.46 cnf(804,plain,
% 174.27/174.46 (P3(f26(a1,a1),f24(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[787,784,586,120,121,65])).
% 174.27/174.46 cnf(805,plain,
% 174.27/174.46 (~E(f26(f2(f7(a29,a29),a29),f10(a29,a29)),f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,787,784,778,586,120,121,65,3])).
% 174.27/174.46 cnf(806,plain,
% 174.27/174.46 (E(a1,f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,787,784,778,586,120,121,65,3,2])).
% 174.27/174.46 cnf(809,plain,
% 174.27/174.46 (P8(f2(a29,a1),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[191,787,784,785,778,586,529,120,121,65,3,2,134,119])).
% 174.27/174.46 cnf(811,plain,
% 174.27/174.46 (P4(f24(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[191,787,784,785,778,618,586,529,547,120,121,65,3,2,134,119,67])).
% 174.27/174.46 cnf(821,plain,
% 174.27/174.46 (~E(f2(a1,a1),a29)),
% 174.27/174.46 inference(scs_inference,[],[94,806,3])).
% 174.27/174.46 cnf(837,plain,
% 174.27/174.46 (P3(a1,x8371)+~E(x8371,f24(f25(a1),f24(f25(a1),f25(a1))))),
% 174.27/174.46 inference(scs_inference,[],[90,92,94,811,802,781,805,672,734,789,806,784,548,547,3,2,83,136,172,160,175,97,116,138])).
% 174.27/174.46 cnf(839,plain,
% 174.27/174.46 (P3(a1,f24(f25(a1),f24(f25(a1),f25(a1))))),
% 174.27/174.46 inference(equality_inference,[],[837])).
% 174.27/174.46 cnf(843,plain,
% 174.27/174.46 (E(f2(a29,f26(a1,a1)),f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[606,104,103])).
% 174.27/174.46 cnf(847,plain,
% 174.27/174.46 (E(f26(f2(a29,a29),f2(a29,a29)),f2(f26(a29,a29),a29))),
% 174.27/174.46 inference(scs_inference,[],[800,606,85,104,103,100,151])).
% 174.27/174.46 cnf(849,plain,
% 174.27/174.46 (E(f26(f2(a29,a29),f2(a29,a29)),f2(a29,f26(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[800,606,85,104,103,100,151,150])).
% 174.27/174.46 cnf(851,plain,
% 174.27/174.46 (E(f2(f2(a29,a29),a29),f2(a29,f2(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[800,606,85,104,103,100,151,150,140])).
% 174.27/174.46 cnf(855,plain,
% 174.27/174.46 (P1(f11(f26(a1,a29),a1))),
% 174.27/174.46 inference(scs_inference,[],[800,606,776,783,85,84,104,103,100,151,150,140,139,129])).
% 174.27/174.46 cnf(857,plain,
% 174.27/174.46 (P3(f2(a29,a1),f24(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[800,804,777,606,776,783,85,84,104,103,100,151,150,140,139,129,65])).
% 174.27/174.46 cnf(858,plain,
% 174.27/174.46 (E(f2(a1,a30),f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[193,800,804,777,606,776,783,806,85,84,104,103,100,151,150,140,139,129,65,3])).
% 174.27/174.46 cnf(859,plain,
% 174.27/174.46 (E(a1,f2(a1,a30))),
% 174.27/174.46 inference(scs_inference,[],[193,800,804,777,606,776,783,806,85,84,104,103,100,151,150,140,139,129,65,3,2])).
% 174.27/174.46 cnf(881,plain,
% 174.27/174.46 (P1(f2(a1,a30))),
% 174.27/174.46 inference(scs_inference,[],[859,265])).
% 174.27/174.46 cnf(890,plain,
% 174.27/174.46 (E(f2(a1,f10(a32,a29)),a1)),
% 174.27/174.46 inference(scs_inference,[],[630,859,265,106,102,109,107,99])).
% 174.27/174.46 cnf(921,plain,
% 174.27/174.46 (P8(f2(a1,a29),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[193,630,859,672,789,265,106,102,109,107,99,105,59,51,49,35,32,22,19,13,9,108,63,61,55,53,52,50,48,43,37,31,29,28,27,26,20,15,119])).
% 174.27/174.46 cnf(956,plain,
% 174.27/174.46 (E(f25(f2(a1,a30)),f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[193,630,859,672,789,265,106,102,109,107,99,105,59,51,49,35,32,22,19,13,9,108,63,61,55,53,52,50,48,43,37,31,29,28,27,26,20,15,119,62,58,56,54,46,44,42,41,40,39,36,34,33,25,24,23,21,18,17,14,12,11,10,7,6,5,60,57,47,45,38,30,16,8])).
% 174.27/174.46 cnf(959,plain,
% 174.27/174.46 (~E(a29,f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[193,630,821,859,778,672,789,265,106,102,109,107,99,105,59,51,49,35,32,22,19,13,9,108,63,61,55,53,52,50,48,43,37,31,29,28,27,26,20,15,119,62,58,56,54,46,44,42,41,40,39,36,34,33,25,24,23,21,18,17,14,12,11,10,7,6,5,60,57,47,45,38,30,16,8,4,3,2])).
% 174.27/174.46 cnf(962,plain,
% 174.27/174.46 (P3(f2(a1,a1),f25(f2(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[193,93,858,630,821,859,778,672,789,521,86,84,265,106,102,109,107,99,105,59,51,49,35,32,22,19,13,9,108,63,61,55,53,52,50,48,43,37,31,29,28,27,26,20,15,119,62,58,56,54,46,44,42,41,40,39,36,34,33,25,24,23,21,18,17,14,12,11,10,7,6,5,60,57,47,45,38,30,16,8,4,3,2,132,128])).
% 174.27/174.46 cnf(964,plain,
% 174.27/174.46 (P1(f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[193,93,858,630,821,859,778,672,789,521,86,84,265,106,102,109,107,99,105,59,51,49,35,32,22,19,13,9,108,63,61,55,53,52,50,48,43,37,31,29,28,27,26,20,15,119,62,58,56,54,46,44,42,41,40,39,36,34,33,25,24,23,21,18,17,14,12,11,10,7,6,5,60,57,47,45,38,30,16,8,4,3,2,132,128,64])).
% 174.27/174.46 cnf(977,plain,
% 174.27/174.46 (P1(f14(a1,f25(f2(a1,a29)),f2(a1,a1)))),
% 174.27/174.46 inference(scs_inference,[],[962,521,84,156])).
% 174.27/174.46 cnf(979,plain,
% 174.27/174.46 (P3(a1,f25(f2(a1,a30)))),
% 174.27/174.46 inference(scs_inference,[],[191,962,956,521,84,156,128])).
% 174.27/174.46 cnf(985,plain,
% 174.27/174.46 (~E(f2(a1,a30),a29)),
% 174.27/174.46 inference(scs_inference,[],[191,94,962,921,956,859,672,521,529,84,156,128,101,129,3])).
% 174.27/174.46 cnf(986,plain,
% 174.27/174.46 (E(f2(f26(a33,a33),a33),f26(f2(a33,a33),f2(a33,a33)))),
% 174.27/174.46 inference(scs_inference,[],[191,94,609,962,921,956,859,672,521,529,84,156,128,101,129,3,2])).
% 174.27/174.46 cnf(997,plain,
% 174.27/174.46 (E(f2(a29,a1),f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[187,806,3])).
% 174.27/174.46 cnf(1058,plain,
% 174.27/174.46 (P1(f28(f28(a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,97])).
% 174.27/174.46 cnf(1060,plain,
% 174.27/174.46 (P1(f26(f2(a1,a1),f2(a1,a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,964,97,120])).
% 174.27/174.46 cnf(1062,plain,
% 174.27/174.46 (P1(f2(f2(a1,a1),f2(a1,a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,964,97,120,121])).
% 174.27/174.46 cnf(1065,plain,
% 174.27/174.46 (P8(a1,f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[195,183,964,839,921,859,97,120,121,65,81])).
% 174.27/174.46 cnf(1066,plain,
% 174.27/174.46 (P8(f2(a29,a1),a1)),
% 174.27/174.46 inference(scs_inference,[],[195,183,964,839,921,809,859,97,120,121,65,81,82])).
% 174.27/174.46 cnf(1067,plain,
% 174.27/174.46 (P2(f2(a1,a1),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[195,183,997,964,839,921,809,859,785,97,120,121,65,81,82,71])).
% 174.27/174.46 cnf(1069,plain,
% 174.27/174.46 (~E(f26(a1,a29),f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[195,183,997,964,959,839,921,809,859,589,762,785,97,120,121,65,81,82,71,72,3])).
% 174.27/174.46 cnf(1075,plain,
% 174.27/174.46 (P8(f2(a1,a1),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[195,183,997,964,959,839,985,776,921,809,859,783,589,762,785,382,529,85,84,97,120,121,65,81,82,71,72,3,2,141,126,119])).
% 174.27/174.46 cnf(1091,plain,
% 174.27/174.46 (E(f26(f28(a1),a1),f28(a1))),
% 174.27/174.46 inference(scs_inference,[],[195,104])).
% 174.27/174.46 cnf(1093,plain,
% 174.27/174.46 (E(f2(a29,f28(a1)),f28(a1))),
% 174.27/174.46 inference(scs_inference,[],[195,104,103])).
% 174.27/174.46 cnf(1095,plain,
% 174.27/174.46 (E(f2(f28(a1),a1),a1)),
% 174.27/174.46 inference(scs_inference,[],[195,104,103,100])).
% 174.27/174.46 cnf(1097,plain,
% 174.27/174.46 (P8(f2(a1,a30),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[195,1065,859,104,103,100,81])).
% 174.27/174.46 cnf(1098,plain,
% 174.27/174.46 (P2(f2(a1,a30),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[195,1065,553,859,104,103,100,81,71])).
% 174.27/174.46 cnf(1102,plain,
% 174.27/174.46 (E(f14(x11021,f2(a30,a32),x11022),f14(x11021,a34,x11022))),
% 174.27/174.46 inference(rename_variables,[],[198])).
% 174.27/174.46 cnf(1107,plain,
% 174.27/174.46 (P2(f2(a29,a1),a1)),
% 174.27/174.46 inference(scs_inference,[],[198,1102,197,195,183,1067,1075,1066,1065,553,859,672,84,104,103,100,81,71,82,72,3,2,98,126])).
% 174.27/174.46 cnf(1123,plain,
% 174.27/174.46 (E(f2(f28(a29),f28(a1)),f28(f28(a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,109])).
% 174.27/174.46 cnf(1125,plain,
% 174.27/174.46 (E(f26(a1,f28(a1)),f28(a1))),
% 174.27/174.46 inference(scs_inference,[],[195,109,102])).
% 174.27/174.46 cnf(1127,plain,
% 174.27/174.46 (E(f2(a1,f28(a1)),a1)),
% 174.27/174.46 inference(scs_inference,[],[195,109,102,99])).
% 174.27/174.46 cnf(1129,plain,
% 174.27/174.46 (E(f2(f28(a1),a29),f28(a1))),
% 174.27/174.46 inference(scs_inference,[],[195,109,102,99,105])).
% 174.27/174.46 cnf(1131,plain,
% 174.27/174.46 (E(f2(f28(a1),f28(a29)),f28(f28(a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,109,102,99,105,108])).
% 174.27/174.46 cnf(1133,plain,
% 174.27/174.46 (E(f26(f28(a1),f28(f28(a1))),a1)),
% 174.27/174.46 inference(scs_inference,[],[195,109,102,99,105,108,107])).
% 174.27/174.46 cnf(1187,plain,
% 174.27/174.46 (E(f26(a34,x11871),f26(f2(a30,a32),x11871))),
% 174.27/174.46 inference(scs_inference,[],[181,189,195,109,102,99,105,108,107,59,51,35,22,13,9,63,55,52,50,49,37,32,31,29,19,15,62,61,56,54,53,48,46,44,43,41,40,34,28,27,26,25,24,23,21,20,11,6,58,57,47,42,39,38,36,33,30,18,17,16,14,12])).
% 174.27/174.46 cnf(1196,plain,
% 174.27/174.46 (E(f25(a34),f25(f2(a30,a32)))),
% 174.27/174.46 inference(scs_inference,[],[181,189,195,1098,529,109,102,99,105,108,107,59,51,35,22,13,9,63,55,52,50,49,37,32,31,29,19,15,62,61,56,54,53,48,46,44,43,41,40,34,28,27,26,25,24,23,21,20,11,6,58,57,47,42,39,38,36,33,30,18,17,16,14,12,10,7,4,5,119,60,45,8])).
% 174.27/174.46 cnf(1198,plain,
% 174.27/174.46 (~E(f26(f2(f7(a29,a29),a29),f10(a29,a29)),f26(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[181,189,185,195,857,1098,997,778,529,109,102,99,105,108,107,59,51,35,22,13,9,63,55,52,50,49,37,32,31,29,19,15,62,61,56,54,53,48,46,44,43,41,40,34,28,27,26,25,24,23,21,20,11,6,58,57,47,42,39,38,36,33,30,18,17,16,14,12,10,7,4,5,119,60,45,8,65,3])).
% 174.27/174.46 cnf(1199,plain,
% 174.27/174.46 (~E(f2(a1,a1),f26(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[181,189,185,195,857,1098,1069,997,778,529,109,102,99,105,108,107,59,51,35,22,13,9,63,55,52,50,49,37,32,31,29,19,15,62,61,56,54,53,48,46,44,43,41,40,34,28,27,26,25,24,23,21,20,11,6,58,57,47,42,39,38,36,33,30,18,17,16,14,12,10,7,4,5,119,60,45,8,65,3,2])).
% 174.27/174.46 cnf(1211,plain,
% 174.27/174.46 (~E(f2(a1,a30),f2(a29,a29))),
% 174.27/174.46 inference(scs_inference,[],[559,859,3])).
% 174.27/174.46 cnf(1212,plain,
% 174.27/174.46 (E(f2(a30,f26(a30,a30)),f26(f2(a30,a30),f2(a30,a30)))),
% 174.27/174.46 inference(scs_inference,[],[638,559,859,3,2])).
% 174.27/174.46 cnf(1228,plain,
% 174.27/174.46 (P8(f26(a1,a1),a1)),
% 174.27/174.46 inference(scs_inference,[],[642,1066,81])).
% 174.27/174.46 cnf(1229,plain,
% 174.27/174.46 (P8(f2(a1,a30),a1)),
% 174.27/174.46 inference(scs_inference,[],[187,642,1097,1066,81,82])).
% 174.27/174.46 cnf(1230,plain,
% 174.27/174.46 (P2(f26(a1,a1),a1)),
% 174.27/174.46 inference(scs_inference,[],[187,1107,642,1097,1066,81,82,71])).
% 174.27/174.46 cnf(1235,plain,
% 174.27/174.46 (~E(f26(a1,a1),f26(f2(f7(a29,a29),a29),f10(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[199,197,187,183,1198,1107,642,1097,1066,1098,81,82,71,72,3,2])).
% 174.27/174.46 cnf(1278,plain,
% 174.27/174.46 (P1(f2(f7(a32,a29),f7(a32,a29)))),
% 174.27/174.46 inference(scs_inference,[],[632,120,121])).
% 174.27/174.46 cnf(1281,plain,
% 174.27/174.46 (~E(f26(a1,a29),a1)),
% 174.27/174.46 inference(scs_inference,[],[383,632,528,120,121,3,2])).
% 174.27/174.46 cnf(1284,plain,
% 174.27/174.46 (P1(f14(a1,f25(f2(a1,a30)),a1))),
% 174.27/174.46 inference(scs_inference,[],[182,195,383,632,979,956,528,84,120,121,3,2,132,156])).
% 174.27/174.46 cnf(1286,plain,
% 174.27/174.46 (P1(f7(f26(a1,a29),f26(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[182,195,383,632,979,776,956,528,84,120,121,3,2,132,156,124])).
% 174.27/174.46 cnf(1301,plain,
% 174.27/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),a1)),
% 174.27/174.46 inference(scs_inference,[],[1281,776,113])).
% 174.27/174.46 cnf(1307,plain,
% 174.27/174.46 (E(f2(a29,f11(a29,a29)),f11(a29,a29))),
% 174.27/174.46 inference(scs_inference,[],[673,1281,776,113,104,106,103])).
% 174.27/174.46 cnf(1313,plain,
% 174.27/174.46 (P3(f2(a1,a1),f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[1278,673,1281,962,776,521,113,104,106,103,100,120,66])).
% 174.27/174.46 cnf(1314,plain,
% 174.27/174.46 (P1(f2(f11(a29,a29),f11(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[1278,673,1281,962,776,521,113,104,106,103,100,120,66,121])).
% 174.27/174.46 cnf(1316,plain,
% 174.27/174.46 (P3(f2(a1,a1),f24(f25(a1),f24(f25(a1),f25(a1))))),
% 174.27/174.46 inference(scs_inference,[],[1278,673,1281,839,962,776,806,521,113,104,106,103,100,120,66,121,65])).
% 174.27/174.46 cnf(1317,plain,
% 174.27/174.46 (E(f2(a1,a29),f2(a1,a1))),
% 174.27/174.46 inference(scs_inference,[],[183,1278,673,1281,839,962,776,806,521,113,104,106,103,100,120,66,121,65,3])).
% 174.27/174.46 cnf(1345,plain,
% 174.27/174.46 (P3(f2(a1,a1),f25(f2(a1,a30)))),
% 174.27/174.46 inference(scs_inference,[],[1314,1317,624,1281,956,776,85,84,98,109,99,128])).
% 174.27/174.46 cnf(1359,plain,
% 174.27/174.46 (E(f21(f2(a1,a1),x13591,x13592),f21(a1,x13591,x13592))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1281,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52])).
% 174.27/174.46 cnf(1369,plain,
% 174.27/174.46 (E(f14(f2(a1,a1),x13691,x13692),f14(a1,x13691,x13692))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61])).
% 174.27/174.46 cnf(1371,plain,
% 174.27/174.46 (E(f21(x13711,x13712,f2(a1,a1)),f21(x13711,x13712,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54])).
% 174.27/174.46 cnf(1386,plain,
% 174.27/174.46 (E(f11(f2(a1,a1),x13861),f11(a1,x13861))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57])).
% 174.27/174.46 cnf(1387,plain,
% 174.27/174.46 (E(f7(x13871,f2(a1,a1)),f7(x13871,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56])).
% 174.27/174.46 cnf(1390,plain,
% 174.27/174.46 (E(f16(f2(a1,a1),x13901),f16(a1,x13901))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46])).
% 174.27/174.46 cnf(1391,plain,
% 174.27/174.46 (E(f15(x13911,f2(a1,a1),x13912),f15(x13911,a1,x13912))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44])).
% 174.27/174.46 cnf(1411,plain,
% 174.27/174.46 (E(f26(f2(a1,a1),x14111),f26(a1,x14111))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12])).
% 174.27/174.46 cnf(1412,plain,
% 174.27/174.46 (E(f25(f2(a1,a1)),f25(a1))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8])).
% 174.27/174.46 cnf(1413,plain,
% 174.27/174.46 (E(f2(f2(a1,a1),x14131),f2(a1,x14131))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8,4])).
% 174.27/174.46 cnf(1414,plain,
% 174.27/174.46 (E(f2(x14141,f2(a1,a1)),f2(x14141,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8,4,5])).
% 174.27/174.46 cnf(1415,plain,
% 174.27/174.46 (E(f12(x14151,f2(a1,a1)),f12(x14151,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,1281,606,956,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8,4,5,60])).
% 174.27/174.46 cnf(1417,plain,
% 174.27/174.46 (P1(f2(f26(a33,a33),a33))),
% 174.27/174.46 inference(scs_inference,[],[191,1314,1317,624,1228,609,1281,606,956,800,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8,4,5,60,45,64])).
% 174.27/174.46 cnf(1418,plain,
% 174.27/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[183,191,1314,1317,624,1301,1228,609,1281,606,956,800,776,85,84,98,109,99,128,105,107,102,108,59,51,22,13,52,49,35,32,31,29,15,9,129,61,55,54,50,41,40,37,34,27,26,23,20,19,6,63,62,58,57,56,53,48,46,44,43,39,36,33,28,25,24,21,18,17,11,10,7,47,42,38,30,16,14,12,8,4,5,60,45,64,3])).
% 174.27/174.46 cnf(1436,plain,
% 174.27/174.46 (P8(f28(a29),f28(f28(a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,1345,1123,1058,441,956,84,156,127])).
% 174.27/174.46 cnf(1443,plain,
% 174.27/174.46 (P1(f2(a1,f2(a1,a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,191,1345,613,1123,1413,1058,1412,441,1062,777,956,84,156,127,128,101,65,64])).
% 174.27/174.46 cnf(1444,plain,
% 174.27/174.46 (E(f2(f2(a1,a1),x14441),f2(a1,x14441))),
% 174.27/174.46 inference(rename_variables,[],[1413])).
% 174.27/174.46 cnf(1445,plain,
% 174.27/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),f2(f2(a1,a1),a29))),
% 174.27/174.46 inference(scs_inference,[],[195,191,1345,613,1123,1413,1444,1418,1058,1412,441,1062,777,956,84,156,127,128,101,65,64,3])).
% 174.27/174.46 cnf(1447,plain,
% 174.27/174.46 (E(f11(a29,a29),f2(a29,f11(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[195,191,1307,1345,613,1123,1413,1444,1418,1058,1412,441,1062,777,956,84,156,127,128,101,65,64,3,2])).
% 174.27/174.46 cnf(1473,plain,
% 174.27/174.46 (P8(f26(a33,a33),f26(f2(a33,a33),f2(a33,a33)))),
% 174.27/174.46 inference(scs_inference,[],[986,781,800,89,127])).
% 174.27/174.46 cnf(1475,plain,
% 174.27/174.46 (E(f26(a1,a1),f2(a1,a30))),
% 174.27/174.46 inference(scs_inference,[],[185,986,781,800,859,89,127,3])).
% 174.27/174.46 cnf(1476,plain,
% 174.27/174.46 (~E(f2(f2(a1,a1),a29),f2(f26(a1,a29),f26(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[185,986,1445,781,800,859,89,127,3,2])).
% 174.27/174.46 cnf(1498,plain,
% 174.27/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[187,1447,1301,673,64,3])).
% 174.27/174.46 cnf(1535,plain,
% 174.27/174.46 (E(f2(a29,f2(a32,a32)),f2(a32,a32))),
% 174.27/174.46 inference(scs_inference,[],[583,104,103])).
% 174.27/174.46 cnf(1539,plain,
% 174.27/174.46 (P1(f26(f2(a32,a32),f2(a32,a32)))),
% 174.27/174.46 inference(scs_inference,[],[1417,583,104,103,100,120])).
% 174.27/174.46 cnf(1543,plain,
% 174.27/174.46 (E(f12(f2(a30,a32),f2(a30,a32)),f12(a34,a34))),
% 174.27/174.46 inference(scs_inference,[],[201,200,1417,583,104,103,100,120,121,3])).
% 174.27/174.46 cnf(1553,plain,
% 174.27/174.46 (P8(f26(a1,a29),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[201,200,1417,640,583,1075,786,964,1098,762,529,104,103,100,120,121,3,2,163,106,133,81])).
% 174.27/174.46 cnf(1554,plain,
% 174.27/174.46 (P8(f26(a33,a33),f2(f26(a33,a33),a33))),
% 174.27/174.46 inference(scs_inference,[],[201,200,1417,640,583,1473,1075,786,609,964,1098,762,529,104,103,100,120,121,3,2,163,106,133,81,82])).
% 174.27/174.46 cnf(1555,plain,
% 174.27/174.46 (P2(f26(a1,a29),f2(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[201,200,1417,640,583,1473,1075,786,609,964,1098,589,762,529,104,103,100,120,121,3,2,163,106,133,81,82,71])).
% 174.27/174.46 cnf(1600,plain,
% 174.27/174.46 (E(f14(f26(a1,a29),x16001,x16002),f14(a29,x16001,x16002))),
% 174.27/174.46 inference(scs_inference,[],[189,22,13,59,51,29,15,61])).
% 174.27/174.46 cnf(1601,plain,
% 174.27/174.46 (E(f7(f26(a1,a29),x16011),f7(a29,x16011))),
% 174.27/174.46 inference(scs_inference,[],[189,22,13,59,51,29,15,61,55])).
% 174.27/174.46 cnf(1613,plain,
% 174.27/174.46 (E(f14(x16131,f26(a1,a1),x16132),f14(x16131,f2(a1,a30),x16132))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62])).
% 174.27/174.46 cnf(1621,plain,
% 174.27/174.46 (E(f24(x16211,f26(a1,a29)),f24(x16211,a29))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40])).
% 174.27/174.46 cnf(1631,plain,
% 174.27/174.46 (E(f14(x16311,x16312,f26(a1,a1)),f14(x16311,x16312,f2(a1,a30)))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63])).
% 174.27/174.46 cnf(1632,plain,
% 174.27/174.46 (P1(f26(f2(a31,a31),f2(a31,a31)))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120])).
% 174.27/174.46 cnf(1634,plain,
% 174.27/174.46 (E(f11(f26(a1,a29),x16341),f11(a29,x16341))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57])).
% 174.27/174.46 cnf(1640,plain,
% 174.27/174.46 (E(f10(x16401,f26(a1,a29)),f10(x16401,a29))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57,56,53,48,47,43,42])).
% 174.27/174.46 cnf(1653,plain,
% 174.27/174.46 (E(f25(f26(a1,a29)),f25(a29))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57,56,53,48,47,43,42,39,28,24,21,17,11,10,38,30,16,14,12,8])).
% 174.27/174.46 cnf(1654,plain,
% 174.27/174.46 (E(f2(f26(a1,a29),x16541),f2(a29,x16541))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57,56,53,48,47,43,42,39,28,24,21,17,11,10,38,30,16,14,12,8,4])).
% 174.27/174.46 cnf(1655,plain,
% 174.27/174.46 (E(f2(x16551,f26(a1,a29)),f2(x16551,a29))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,308,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57,56,53,48,47,43,42,39,28,24,21,17,11,10,38,30,16,14,12,8,4,5])).
% 174.27/174.46 cnf(1661,plain,
% 174.27/174.46 (~E(f2(a29,a1),f26(a1,a29))),
% 174.27/174.46 inference(scs_inference,[],[189,1475,1555,761,308,804,529,22,13,59,51,29,15,61,55,54,52,49,35,32,31,26,20,19,9,6,62,119,58,50,46,44,41,40,37,36,34,33,27,25,23,18,7,63,120,57,56,53,48,47,43,42,39,28,24,21,17,11,10,38,30,16,14,12,8,4,5,60,45,121,65,3])).
% 174.27/174.46 cnf(1675,plain,
% 174.27/174.46 (P4(f25(f26(a1,a29)))),
% 174.27/174.46 inference(scs_inference,[],[1653,85,101])).
% 174.27/174.46 cnf(1677,plain,
% 174.27/174.46 (~E(f2(a29,a1),f26(f2(f7(a29,a29),a29),f10(a29,a29)))),
% 174.27/174.46 inference(scs_inference,[],[1235,1653,777,85,101,3])).
% 174.27/174.46 cnf(1699,plain,
% 174.27/174.46 (P3(f2(a1,a30),f27(f25(a1),f25(a1)))),
% 174.27/174.46 inference(scs_inference,[],[195,613,1475,1281,776,125,124,65])).
% 174.27/174.46 cnf(1700,plain,
% 174.27/174.46 (E(f2(a1,a1),f2(a29,a1))),
% 174.27/174.46 inference(scs_inference,[],[191,195,613,1475,1281,643,776,125,124,65,3])).
% 174.38/174.46 cnf(1701,plain,
% 174.38/174.46 (~E(f26(f2(f7(a29,a29),a29),f10(a29,a29)),f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[191,195,1677,613,1475,1281,643,776,125,124,65,3,2])).
% 174.38/174.46 cnf(1717,plain,
% 174.38/174.46 (P3(f2(a29,a1),f25(f2(a1,a1)))),
% 174.38/174.46 inference(scs_inference,[],[1700,1412,84,128])).
% 174.38/174.46 cnf(1719,plain,
% 174.38/174.46 (P4(f25(a29))),
% 174.38/174.46 inference(scs_inference,[],[1700,1653,1675,1412,84,128,67])).
% 174.38/174.46 cnf(1720,plain,
% 174.38/174.46 (E(f21(f2(a1,a1),x17201,f2(a30,a32)),f21(a1,x17201,a34))),
% 174.38/174.46 inference(scs_inference,[],[206,1700,1359,1653,1675,1412,84,128,67,3])).
% 174.38/174.46 cnf(1735,plain,
% 174.38/174.46 (P3(f26(a1,f2(a1,a1)),x17351)+~E(x17351,f27(f25(a1),f25(a1)))),
% 174.38/174.46 inference(scs_inference,[],[206,849,1700,1359,1286,1411,1601,1621,1313,1653,1675,1412,547,84,128,67,3,2,176,64,167,165,130,148])).
% 174.38/174.46 cnf(1740,plain,
% 174.38/174.46 (P3(f26(a1,f2(a1,a1)),f27(f25(a1),f25(a1)))),
% 174.38/174.46 inference(equality_inference,[],[1735])).
% 174.38/174.46 cnf(1742,plain,
% 174.38/174.46 (P3(f28(a1),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[195,1093,1653,85,128])).
% 174.38/174.46 cnf(1745,plain,
% 174.38/174.46 (~E(a29,f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[195,1717,1701,1093,409,1653,1412,85,128,66,3])).
% 174.38/174.46 cnf(1749,plain,
% 174.38/174.46 (P1(f14(a29,f25(f26(a1,a29)),f28(a1)))),
% 174.38/174.46 inference(scs_inference,[],[195,1717,1701,1093,1661,409,1653,1412,85,128,66,3,2,132,156])).
% 174.38/174.46 cnf(1784,plain,
% 174.38/174.46 (P3(a29,f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[1632,437,390,1653,85,104,109,107,106,103,99,105,108,102,100,128])).
% 174.38/174.46 cnf(1789,plain,
% 174.38/174.46 (E(f2(f26(a29,a29),a29),f26(f2(a29,a29),f2(a29,a29)))),
% 174.38/174.46 inference(scs_inference,[],[207,206,1632,847,437,390,1653,85,104,109,107,106,103,99,105,108,102,100,128,3,2])).
% 174.38/174.46 cnf(1860,plain,
% 174.38/174.46 (E(f7(x18601,f2(f28(a1),a1)),f7(x18601,a1))),
% 174.38/174.46 inference(scs_inference,[],[1095,411,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56])).
% 174.38/174.46 cnf(1867,plain,
% 174.38/174.46 (P1(f2(f7(a29,a29),f7(a29,a29)))),
% 174.38/174.46 inference(scs_inference,[],[1095,411,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56,53,48,28,17,14,11,121])).
% 174.38/174.46 cnf(1875,plain,
% 174.38/174.46 (E(f25(f2(f28(a1),a1)),f25(a1))),
% 174.38/174.46 inference(scs_inference,[],[1095,411,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56,53,48,28,17,14,11,121,5,60,38,30,16,12,8])).
% 174.38/174.46 cnf(1878,plain,
% 174.38/174.46 (E(f11(f2(a30,a32),f2(a30,a32)),f11(a34,a34))),
% 174.38/174.46 inference(scs_inference,[],[202,203,1095,411,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56,53,48,28,17,14,11,121,5,60,38,30,16,12,8,4,45,3])).
% 174.38/174.46 cnf(1881,plain,
% 174.38/174.46 (~E(f2(a29,a1),f2(a29,a29))),
% 174.38/174.46 inference(scs_inference,[],[202,203,1095,411,675,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56,53,48,28,17,14,11,121,5,60,38,30,16,12,8,4,45,3,2])).
% 174.38/174.46 cnf(1882,plain,
% 174.38/174.46 (P1(x18821)+~P3(x18821,f25(a29))),
% 174.38/174.46 inference(scs_inference,[],[202,203,1095,411,675,1719,22,29,13,59,51,31,26,20,19,15,6,61,58,55,54,52,49,46,44,41,40,36,35,33,32,27,25,18,9,63,62,120,57,50,47,43,42,39,37,34,24,23,21,10,7,56,53,48,28,17,14,11,121,5,60,38,30,16,12,8,4,45,3,2,111])).
% 174.38/174.46 cnf(1899,plain,
% 174.38/174.46 (P1(f26(f10(a29,a29),f10(a29,a29)))),
% 174.38/174.46 inference(scs_inference,[],[413,120])).
% 174.38/174.46 cnf(1903,plain,
% 174.38/174.46 (P3(f2(a1,a1),f27(f25(a1),f25(a1)))),
% 174.38/174.46 inference(scs_inference,[],[1699,413,858,120,121,65])).
% 174.38/174.46 cnf(1904,plain,
% 174.38/174.46 (~E(f2(a1,a1),f2(a29,a29))),
% 174.38/174.46 inference(scs_inference,[],[1699,1881,413,997,858,120,121,65,3])).
% 174.38/174.46 cnf(1905,plain,
% 174.38/174.46 (E(f2(a29,f2(a29,a29)),f2(f2(a29,a29),a29))),
% 174.38/174.46 inference(scs_inference,[],[851,1699,1881,413,997,858,120,121,65,3,2])).
% 174.38/174.46 cnf(1922,plain,
% 174.38/174.46 (~E(f2(a29,a29),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,3,2])).
% 174.38/174.46 cnf(1925,plain,
% 174.38/174.46 (P2(f28(a29),f28(f28(a1)))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1230,1436,1058,441,84,3,2,162,126])).
% 174.38/174.46 cnf(1929,plain,
% 174.38/174.46 (P3(f2(a1,a29),f25(f2(f28(a1),a1)))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1875,558,380,1230,1436,1058,441,84,3,2,162,126,101,128])).
% 174.38/174.46 cnf(1931,plain,
% 174.38/174.46 (P8(f26(a1,a1),f2(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1875,558,380,1230,1436,562,1058,441,586,84,3,2,162,126,101,128,81])).
% 174.38/174.46 cnf(1932,plain,
% 174.38/174.46 (P2(f2(a1,a29),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1875,558,380,1230,1436,562,1058,997,441,586,789,84,3,2,162,126,101,128,81,72])).
% 174.38/174.46 cnf(1933,plain,
% 174.38/174.46 (P8(f26(a1,a29),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1875,558,1553,380,1230,1436,562,1058,997,441,586,789,84,3,2,162,126,101,128,81,72,82])).
% 174.38/174.46 cnf(1934,plain,
% 174.38/174.46 (P2(f26(a1,a1),f2(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[208,207,1904,1875,558,1553,380,1230,1436,562,1058,997,441,553,586,789,84,3,2,162,126,101,128,81,72,82,71])).
% 174.38/174.46 cnf(1949,plain,
% 174.38/174.46 (P8(f2(a1,a29),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[1932,964,119])).
% 174.38/174.46 cnf(1951,plain,
% 174.38/174.46 (P3(f2(a29,a1),f24(f25(a1),f24(f25(a1),f25(a1))))),
% 174.38/174.46 inference(scs_inference,[],[1932,1316,1700,964,119,65])).
% 174.38/174.46 cnf(1981,plain,
% 174.38/174.46 (~E(f2(a1,a29),f2(f26(a1,a29),f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[1867,1476,1413,97,3])).
% 174.38/174.46 cnf(1986,plain,
% 174.38/174.46 (E(f2(f26(a1,a1),f11(f26(a1,a1),f2(a1,a29))),f2(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[1867,1476,1931,1211,1413,606,1281,776,529,97,3,2,113,133])).
% 174.38/174.46 cnf(1988,plain,
% 174.38/174.46 (P3(f2(a1,a29),f25(a1))),
% 174.38/174.46 inference(scs_inference,[],[1867,1476,1931,1929,1211,1413,1875,606,1281,776,529,97,3,2,113,133,66])).
% 174.38/174.46 cnf(2003,plain,
% 174.38/174.46 (E(f2(f2(a30,a30),a29),f2(a30,a30))),
% 174.38/174.46 inference(scs_inference,[],[1899,555,104,109,106,99,105])).
% 174.38/174.46 cnf(2007,plain,
% 174.38/174.46 (E(f2(a29,f2(a30,a30)),f2(a30,a30))),
% 174.38/174.46 inference(scs_inference,[],[1899,555,104,109,106,99,105,107,103])).
% 174.38/174.46 cnf(2015,plain,
% 174.38/174.46 (E(f14(f2(a30,a32),f26(a1,a1),x20151),f14(a34,f2(a1,a30),x20151))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,555,104,109,106,99,105,107,103,108,102,100,3])).
% 174.38/174.46 cnf(2017,plain,
% 174.38/174.46 (E(f14(x20171,f26(a1,a1),x20172),f14(x20171,f2(a1,a30),x20172))),
% 174.38/174.46 inference(rename_variables,[],[1613])).
% 174.38/174.46 cnf(2021,plain,
% 174.38/174.46 (E(f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,555,964,1719,529,104,109,106,99,105,107,103,108,102,100,3,2,110,133])).
% 174.38/174.46 cnf(2025,plain,
% 174.38/174.46 (P3(f2(a1,a29),f24(f25(a1),f25(a1)))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,1127,1988,555,1875,618,964,1719,529,195,84,104,109,106,99,105,107,103,108,102,100,3,2,110,133,128,66])).
% 174.38/174.46 cnf(2026,plain,
% 174.38/174.46 (P8(f2(a1,a1),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,1127,1988,555,1875,618,1317,964,1719,529,195,84,104,109,106,99,105,107,103,108,102,100,3,2,110,133,128,66,81])).
% 174.38/174.46 cnf(2027,plain,
% 174.38/174.46 (P2(f26(a1,a1),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,1127,1988,555,1934,1875,618,1317,964,1719,529,195,84,104,109,106,99,105,107,103,108,102,100,3,2,110,133,128,66,81,72])).
% 174.38/174.46 cnf(2028,plain,
% 174.38/174.46 (P1(f11(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,1127,1634,1988,855,555,1934,1875,618,1317,964,1719,529,195,84,104,109,106,99,105,107,103,108,102,100,3,2,110,133,128,66,81,72,64])).
% 174.38/174.46 cnf(2030,plain,
% 174.38/174.46 (P8(f26(a1,a1),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[199,1899,1613,2017,1949,1127,1634,1988,855,555,1931,1934,1875,618,1317,964,1719,529,195,84,104,109,106,99,105,107,103,108,102,100,3,2,110,133,128,66,81,72,64,82])).
% 174.38/174.46 cnf(2046,plain,
% 174.38/174.46 (P8(a29,f26(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[843,606,85,127])).
% 174.38/174.46 cnf(2048,plain,
% 174.38/174.46 (E(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[2026,843,606,964,85,127,133])).
% 174.38/174.46 cnf(2052,plain,
% 174.38/174.46 (P1(f11(f2(a1,a1),f2(a1,a1)))),
% 174.38/174.46 inference(scs_inference,[],[2026,843,620,606,964,85,127,133,22,13,129])).
% 174.38/174.46 cnf(2112,plain,
% 174.38/174.46 (E(f25(f26(a32,a1)),f25(a32))),
% 174.38/174.46 inference(scs_inference,[],[2026,1535,843,620,606,964,1653,583,85,127,133,22,13,129,59,51,29,26,20,15,6,128,61,58,54,52,46,44,41,40,35,33,32,31,25,19,63,62,55,50,49,42,36,27,18,9,57,48,47,43,39,37,34,28,24,23,21,14,11,10,7,5,60,56,53,38,17,45,30,16,12,8])).
% 174.38/174.46 cnf(2120,plain,
% 174.38/174.46 (P4(f25(f26(a32,a1)))),
% 174.38/174.46 inference(scs_inference,[],[199,2026,1631,2025,1535,843,620,1301,606,964,1653,583,1719,88,85,127,133,22,13,129,59,51,29,26,20,15,6,128,61,58,54,52,46,44,41,40,35,33,32,31,25,19,63,62,55,50,49,42,36,27,18,9,57,48,47,43,39,37,34,28,24,23,21,14,11,10,7,5,60,56,53,38,17,45,30,16,12,8,4,2,3,172,101])).
% 174.38/174.46 cnf(2130,plain,
% 174.38/174.46 (P8(f28(a1),f28(a1))),
% 174.38/174.46 inference(scs_inference,[],[1129,85,195,127])).
% 174.38/174.46 cnf(2134,plain,
% 174.38/174.46 (P4(f25(a32))),
% 174.38/174.46 inference(scs_inference,[],[1129,2120,2112,85,195,127,126,67])).
% 174.38/174.46 cnf(2135,plain,
% 174.38/174.46 (P1(f26(f26(a32,a32),f26(a32,a32)))),
% 174.38/174.46 inference(scs_inference,[],[1129,2120,2112,573,85,195,127,126,67,120])).
% 174.38/174.46 cnf(2137,plain,
% 174.38/174.46 (P3(f2(a29,a1),f25(f2(f28(a1),a1)))),
% 174.38/174.46 inference(scs_inference,[],[1129,2120,2112,573,1700,1875,85,195,84,127,126,67,120,128])).
% 174.38/174.46 cnf(2139,plain,
% 174.38/174.46 (P1(f2(f26(a32,a32),f26(a32,a32)))),
% 174.38/174.46 inference(scs_inference,[],[1129,2120,2112,573,1700,1875,85,195,84,127,126,67,120,128,121])).
% 174.38/174.46 cnf(2141,plain,
% 174.38/174.46 (~E(f2(a1,a1),f2(f26(a1,a29),f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[1129,1981,2120,2112,573,1700,1875,1317,85,195,84,127,126,67,120,128,121,3])).
% 174.38/174.46 cnf(2142,plain,
% 174.38/174.46 (E(f2(a1,a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2048,1129,1981,2120,2112,573,1700,1875,1317,85,195,84,127,126,67,120,128,121,3,2])).
% 174.38/174.46 cnf(2154,plain,
% 174.38/174.46 (P1(f26(f10(a1,a29),f10(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[388,120])).
% 174.38/174.46 cnf(2158,plain,
% 174.38/174.46 (P3(f26(a1,a1),f25(f2(f28(a1),a1)))),
% 174.38/174.46 inference(scs_inference,[],[2137,388,642,120,121,65])).
% 174.38/174.46 cnf(2159,plain,
% 174.38/174.46 (E(f7(f2(a30,a32),f2(a30,a32)),f7(a34,a34))),
% 174.38/174.46 inference(scs_inference,[],[204,205,2137,388,642,120,121,65,3])).
% 174.38/174.46 cnf(2162,plain,
% 174.38/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[204,205,2141,2137,388,642,120,121,65,3,2])).
% 174.38/174.46 cnf(2192,plain,
% 174.38/174.46 (E(f28(a1),f26(a1,f28(a1)))),
% 174.38/174.46 inference(scs_inference,[],[201,1125,1415,1554,781,1417,129,3,2])).
% 174.38/174.46 cnf(2207,plain,
% 174.38/174.46 (P3(f26(a1,f28(a1)),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[2135,2192,1742,97,65])).
% 174.38/174.46 cnf(2215,plain,
% 174.38/174.46 (P3(f26(a1,a1),f25(a1))),
% 174.38/174.46 inference(scs_inference,[],[2135,2162,2130,1654,2192,2158,1742,2028,1875,195,97,65,3,2,113,129,66])).
% 174.38/174.46 cnf(2232,plain,
% 174.38/174.46 (P1(f26(a1,f28(a1)))),
% 174.38/174.46 inference(scs_inference,[],[2207,380,1675,104,111])).
% 174.38/174.46 cnf(2257,plain,
% 174.38/174.46 (E(f2(a1,a1),f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[213,2139,2021,1390,2207,1933,380,1675,964,776,104,111,99,105,109,107,106,108,103,100,102,126,3,2])).
% 174.38/174.46 cnf(2262,plain,
% 174.38/174.46 (P3(f26(a1,f28(a1)),f25(a29))),
% 174.38/174.46 inference(scs_inference,[],[213,2139,2021,1390,2207,2215,1933,1229,380,881,1675,964,1653,776,84,104,111,99,105,109,107,106,108,103,100,102,126,3,2,136,133,66])).
% 174.38/174.46 cnf(2264,plain,
% 174.38/174.46 (P8(f26(a1,a29),f26(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[213,2139,2021,1390,2207,2215,2046,1933,1229,2027,380,1700,881,1675,762,964,1653,776,84,104,111,99,105,109,107,106,108,103,100,102,126,3,2,136,133,66,72,81])).
% 174.38/174.46 cnf(2267,plain,
% 174.38/174.46 (P2(f2(a29,a1),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[213,2139,2021,1390,2207,2215,2046,579,1539,2030,1933,1229,2027,380,1700,777,881,1675,762,964,1653,776,84,104,111,99,105,109,107,106,108,103,100,102,126,3,2,136,133,66,72,81,64,82,71])).
% 174.38/174.46 cnf(2275,plain,
% 174.38/174.46 (P1(f10(f26(f10(a1,a29),f10(a1,a29)),f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[2154,1281,776,125])).
% 174.38/174.46 cnf(2340,plain,
% 174.38/174.46 (E(f25(f2(a1,f10(a32,a29))),f25(a1))),
% 174.38/174.46 inference(scs_inference,[],[2154,2267,890,1281,964,776,125,124,119,22,13,59,58,54,52,51,44,33,31,29,26,20,15,6,63,61,50,46,42,41,40,36,35,32,25,19,18,9,62,57,55,49,48,43,37,28,27,21,14,5,47,39,34,24,23,17,11,10,7,60,56,53,38,30,4,45,16,12,8])).
% 174.38/174.46 cnf(2341,plain,
% 174.38/174.46 (E(f9(x23411,f2(a30,a32),x23412,f2(a30,a32)),f9(x23411,a34,x23412,a34))),
% 174.38/174.46 inference(scs_inference,[],[209,211,2154,2267,890,1281,964,776,125,124,119,22,13,59,58,54,52,51,44,33,31,29,26,20,15,6,63,61,50,46,42,41,40,36,35,32,25,19,18,9,62,57,55,49,48,43,37,28,27,21,14,5,47,39,34,24,23,17,11,10,7,60,56,53,38,30,4,45,16,12,8,3])).
% 174.38/174.46 cnf(2346,plain,
% 174.38/174.46 (P2(f26(a1,a29),f26(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[209,211,2154,2267,2264,890,1903,606,1281,964,776,125,124,119,22,13,59,58,54,52,51,44,33,31,29,26,20,15,6,63,61,50,46,42,41,40,36,35,32,25,19,18,9,62,57,55,49,48,43,37,28,27,21,14,5,47,39,34,24,23,17,11,10,7,60,56,53,38,30,4,45,16,12,8,3,132,126])).
% 174.38/174.46 cnf(2360,plain,
% 174.38/174.46 (E(f2(f28(a1),f11(f28(a1),f28(a1))),f28(a1))),
% 174.38/174.46 inference(scs_inference,[],[2130,195,133])).
% 174.38/174.46 cnf(2362,plain,
% 174.38/174.46 (~E(f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))),f26(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[2257,1199,2130,195,133,3])).
% 174.38/174.46 cnf(2384,plain,
% 174.38/174.46 (P1(f26(f26(a31,a31),f26(a31,a31)))),
% 174.38/174.46 inference(scs_inference,[],[296,120])).
% 174.38/174.46 cnf(2386,plain,
% 174.38/174.46 (P1(f2(f26(a31,a31),f26(a31,a31)))),
% 174.38/174.46 inference(scs_inference,[],[296,120,121])).
% 174.38/174.46 cnf(2388,plain,
% 174.38/174.46 (E(f28(f28(a1)),f2(f28(a1),f28(a29)))),
% 174.38/174.46 inference(scs_inference,[],[1131,296,120,121,2])).
% 174.38/174.46 cnf(2409,plain,
% 174.38/174.46 (P1(f26(f26(a30,a30),f26(a30,a30)))),
% 174.38/174.46 inference(scs_inference,[],[2340,549,84,101,120])).
% 174.38/174.46 cnf(2414,plain,
% 174.38/174.46 (~E(f26(a1,a29),f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[1951,2362,2340,549,642,84,101,120,121,65,2])).
% 174.38/174.46 cnf(2415,plain,
% 174.38/174.46 (E(f15(x24151,f2(a1,a1),f2(a30,a32)),f15(x24151,a1,a34))),
% 174.38/174.46 inference(scs_inference,[],[215,1951,1391,2362,2340,549,642,84,101,120,121,65,2,3])).
% 174.38/174.46 cnf(2428,plain,
% 174.38/174.46 (P3(f26(a1,f28(a1)),x24281)+~E(x24281,f24(f25(a29),f25(a29)))),
% 174.38/174.46 inference(scs_inference,[],[215,2384,1951,1391,1386,2362,2262,2052,2340,1196,632,549,642,2134,1281,776,1719,84,101,120,121,65,2,3,113,64,178,158,117,138])).
% 174.38/174.46 cnf(2437,plain,
% 174.38/174.46 (P3(f26(a1,f28(a1)),f24(f25(a29),f25(a29)))),
% 174.38/174.46 inference(equality_inference,[],[2428])).
% 174.38/174.46 cnf(2440,plain,
% 174.38/174.46 (P3(f2(a30,a30),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[2386,2007,555,1653,85,97,128])).
% 174.38/174.46 cnf(2442,plain,
% 174.38/174.46 (E(f28(a1),f26(f28(a1),a1))),
% 174.38/174.46 inference(scs_inference,[],[2386,1091,2007,555,1653,85,97,128,2])).
% 174.38/174.46 cnf(2443,plain,
% 174.38/174.46 (~E(a29,f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2386,1091,2414,2007,555,1653,85,189,97,128,2,3])).
% 174.38/174.46 cnf(2486,plain,
% 174.38/174.46 (P3(f26(f28(a1),a1),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[2409,2440,2442,2340,1742,388,1653,85,84,104,99,156,105,109,106,107,108,103,100,102,128,65])).
% 174.38/174.46 cnf(2487,plain,
% 174.38/174.46 (~E(f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))),a29)),
% 174.38/174.46 inference(scs_inference,[],[2409,2440,2442,2443,2340,1742,388,1653,85,84,104,99,156,105,109,106,107,108,103,100,102,128,65,2])).
% 174.38/174.46 cnf(2494,plain,
% 174.38/174.46 (P2(f26(a1,a29),f2(a1,a30))),
% 174.38/174.46 inference(scs_inference,[],[205,2409,1387,2440,2442,2443,2346,2340,1742,388,1475,1653,89,85,84,104,99,156,105,109,106,107,108,103,100,102,128,65,2,3,154,66,72])).
% 174.38/174.46 cnf(2495,plain,
% 174.38/174.46 (P8(f2(a1,a30),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[205,2409,1387,2440,2442,2443,2346,2030,2340,1742,388,1475,1653,89,85,84,104,99,156,105,109,106,107,108,103,100,102,128,65,2,3,154,66,72,81])).
% 174.38/174.46 cnf(2499,plain,
% 174.38/174.46 (P8(f26(a1,a29),f2(a1,a30))),
% 174.38/174.46 inference(scs_inference,[],[205,2409,2275,1387,2440,1640,2442,2443,2264,2346,2030,2340,1742,388,1475,1653,89,85,189,84,104,99,156,105,109,106,107,108,103,100,102,128,65,2,3,154,66,72,81,71,64,82])).
% 174.38/174.46 cnf(2572,plain,
% 174.38/174.46 (E(f25(f26(a32,f28(a32))),f25(a1))),
% 174.38/174.46 inference(scs_inference,[],[2486,681,1436,441,1058,1675,111,22,129,13,59,58,54,52,44,26,20,6,63,61,51,50,42,41,40,33,31,29,25,18,15,62,48,46,37,36,35,32,27,21,19,14,9,57,55,49,43,39,28,24,7,5,53,47,34,23,17,11,10,60,56,38,30,16,8])).
% 174.38/174.46 cnf(2576,plain,
% 174.38/174.46 (E(a1,f26(f28(a1),f28(f28(a1))))),
% 174.38/174.46 inference(scs_inference,[],[1133,2486,681,1436,441,1058,1675,111,22,129,13,59,58,54,52,44,26,20,6,63,61,51,50,42,41,40,33,31,29,25,18,15,62,48,46,37,36,35,32,27,21,19,14,9,57,55,49,43,39,28,24,7,5,53,47,34,23,17,11,10,60,56,38,30,16,8,4,45,12,2])).
% 174.38/174.46 cnf(2577,plain,
% 174.38/174.46 (E(f7(f2(a30,a32),f2(f28(a1),a1)),f7(a34,a1))),
% 174.38/174.46 inference(scs_inference,[],[205,1133,1860,2486,681,1436,441,1058,1675,111,22,129,13,59,58,54,52,44,26,20,6,63,61,51,50,42,41,40,33,31,29,25,18,15,62,48,46,37,36,35,32,27,21,19,14,9,57,55,49,43,39,28,24,7,5,53,47,34,23,17,11,10,60,56,38,30,16,8,4,45,12,2,3])).
% 174.38/174.46 cnf(2605,plain,
% 174.38/174.46 (~E(f2(a1,f11(f2(a1,a29),f2(a1,a1))),a29)),
% 174.38/174.46 inference(scs_inference,[],[2487,524,3])).
% 174.38/174.46 cnf(2631,plain,
% 174.38/174.46 (P2(f26(f28(a1),f28(f28(a1))),a1)),
% 174.38/174.46 inference(scs_inference,[],[2572,2576,378,84,101,71])).
% 174.38/174.46 cnf(2632,plain,
% 174.38/174.46 (~E(a29,f2(a1,f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2572,2576,2605,378,84,101,71,2])).
% 174.38/174.46 cnf(2636,plain,
% 174.38/174.46 (P1(f26(f28(a1),f28(f28(a1))))),
% 174.38/174.46 inference(scs_inference,[],[206,208,2572,2576,2605,378,84,101,71,2,3,347])).
% 174.38/174.46 cnf(2640,plain,
% 174.38/174.46 (P2(f28(a29),f2(f28(a1),f28(a29)))),
% 174.38/174.46 inference(scs_inference,[],[206,208,2388,2572,2576,2605,1925,413,378,84,101,71,2,3,347,125,72])).
% 174.38/174.46 cnf(2641,plain,
% 174.38/174.46 (P8(f26(f28(a1),f28(f28(a1))),f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[206,208,2388,2572,2576,2605,1925,1065,413,378,84,101,71,2,3,347,125,72,81])).
% 174.38/174.46 cnf(2649,plain,
% 174.38/174.46 (P2(f26(f28(a1),f28(f28(a1))),f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[2636,2641,672,126])).
% 174.38/174.46 cnf(2655,plain,
% 174.38/174.46 (P1(f2(f11(a29,a1),f11(a29,a1)))),
% 174.38/174.46 inference(scs_inference,[],[2636,2641,2631,2028,672,84,126,119,120,121])).
% 174.38/174.46 cnf(2657,plain,
% 174.38/174.46 (E(f2(a1,a29),f2(f26(a1,a1),f11(f26(a1,a1),f2(a1,a29))))),
% 174.38/174.46 inference(scs_inference,[],[2636,2641,1986,2631,2028,672,84,126,119,120,121,2])).
% 174.38/174.46 cnf(2678,plain,
% 174.38/174.46 (P1(f26(f26(a33,a33),f26(a33,a33)))),
% 174.38/174.46 inference(scs_inference,[],[2655,781,97,120])).
% 174.38/174.46 cnf(2682,plain,
% 174.38/174.46 (P3(a1,f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[2655,263,2486,781,97,120,121,65])).
% 174.38/174.46 cnf(2683,plain,
% 174.38/174.46 (~E(f26(a1,a29),f2(a1,f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2655,2632,263,2486,781,762,97,120,121,65,3])).
% 174.38/174.46 cnf(2731,plain,
% 174.38/174.46 (E(f28(a1),f2(f28(a1),f11(f28(a1),f28(a1))))),
% 174.38/174.46 inference(scs_inference,[],[2678,2360,2003,411,555,85,127,104,109,106,99,105,107,108,103,102,100,126,129,133,2])).
% 174.38/174.46 cnf(2737,plain,
% 174.38/174.46 (P3(a1,f25(a29))),
% 174.38/174.46 inference(scs_inference,[],[208,2678,2360,1371,2003,2682,411,555,1653,85,127,104,109,106,99,105,107,108,103,102,100,126,129,133,2,3,136,66])).
% 174.38/174.46 cnf(2738,plain,
% 174.38/174.46 (P2(f26(f28(a1),f28(f28(a1))),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[208,2678,2649,2360,1371,2003,2682,411,997,555,1653,85,127,104,109,106,99,105,107,108,103,102,100,126,129,133,2,3,136,66,72])).
% 174.38/174.46 cnf(2812,plain,
% 174.38/174.46 (~E(f2(a1,f11(f2(a1,a29),f2(a1,a1))),f26(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[2683,683,261,2437,22,13,52,44,26,20,63,59,58,54,41,40,31,29,25,18,15,6,61,51,50,48,46,42,37,36,35,33,32,21,19,14,62,57,43,28,27,24,9,55,49,47,39,11,7,5,60,56,53,34,23,17,16,10,45,38,30,12,8,4,65,2])).
% 174.38/174.46 cnf(2830,plain,
% 174.38/174.46 (E(f2(a1,a1),f2(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[1317,2])).
% 174.38/174.46 cnf(2831,plain,
% 174.38/174.46 (~E(f2(a30,f26(a32,a33)),f26(a34,f2(a30,a33)))),
% 174.38/174.46 inference(scs_inference,[],[95,1317,704,2,3])).
% 174.38/174.46 cnf(2861,plain,
% 174.38/174.46 (~E(f26(a34,f2(a30,a33)),f2(a30,f26(a32,a33)))),
% 174.38/174.46 inference(scs_inference,[],[2831,2])).
% 174.38/174.46 cnf(2862,plain,
% 174.38/174.46 (E(f2(a1,a29),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[1317,2142,2831,2,3])).
% 174.38/174.46 cnf(2867,plain,
% 174.38/174.46 (P3(f2(a1,a1),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[84,762,1317,2142,997,2831,85,1653,628,443,2,3,82,81,71,72,128])).
% 174.38/174.46 cnf(2880,plain,
% 174.38/174.46 (~E(f2(a29,a29),f2(a1,a29))),
% 174.38/174.46 inference(scs_inference,[],[1317,1475,1922,86,2,97,3])).
% 174.38/174.46 cnf(2883,plain,
% 174.38/174.46 (P1(f2(a29,a29))),
% 174.38/174.46 inference(scs_inference,[],[1317,1475,1922,85,86,964,2738,2,97,3,119,121])).
% 174.38/174.46 cnf(2885,plain,
% 174.38/174.46 (P1(f26(a29,a29))),
% 174.38/174.46 inference(scs_inference,[],[1317,1475,1922,85,86,964,2738,2,97,3,119,121,120])).
% 174.38/174.46 cnf(2895,plain,
% 174.38/174.46 (P1(f7(a30,a29))),
% 174.38/174.46 inference(scs_inference,[],[1317,382,1475,1922,85,86,529,964,672,420,809,921,2738,2,97,3,119,121,120,98,125,129,133,124])).
% 174.38/174.46 cnf(2931,plain,
% 174.38/174.46 (~E(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f2(a29,a29))),
% 174.38/174.46 inference(scs_inference,[],[2142,1904,2880,2,3])).
% 174.38/174.46 cnf(2932,plain,
% 174.38/174.46 (P1(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2142,1904,2880,964,2,3,64])).
% 174.38/174.46 cnf(2940,plain,
% 174.38/174.46 (E(f2(a29,x29401),f2(f26(a1,a29),x29401))),
% 174.38/174.46 inference(scs_inference,[],[762,2142,1904,2880,529,964,2,3,64,120,121,30,38,45,4])).
% 174.38/174.46 cnf(2941,plain,
% 174.38/174.46 (E(f25(a29),f25(f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[762,2142,1904,2880,529,964,2,3,64,120,121,30,38,45,4,8])).
% 174.38/174.46 cnf(2961,plain,
% 174.38/174.46 (E(f2(x29611,a29),f2(x29611,f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[762,2142,1904,2880,529,964,2,3,64,120,121,30,38,45,4,8,12,56,7,10,11,16,17,23,34,47,49,53,55,60,9,24,27,39,57,5])).
% 174.38/174.46 cnf(2981,plain,
% 174.38/174.46 (E(f14(a29,x29811,x29812),f14(f26(a1,a29),x29811,x29812))),
% 174.38/174.46 inference(scs_inference,[],[762,2142,1904,2880,529,964,2,3,64,120,121,30,38,45,4,8,12,56,7,10,11,16,17,23,34,47,49,53,55,60,9,24,27,39,57,5,21,28,32,36,37,42,43,46,51,62,14,19,33,35,40,48,50,54,59,61])).
% 174.38/174.46 cnf(3002,plain,
% 174.38/174.46 (P1(f14(f26(a1,a29),f25(a29),a1))),
% 174.38/174.46 inference(scs_inference,[],[84,181,762,2142,1904,2880,529,776,964,672,809,1065,2737,2,3,64,120,121,30,38,45,4,8,12,56,7,10,11,16,17,23,34,47,49,53,55,60,9,24,27,39,57,5,21,28,32,36,37,42,43,46,51,62,14,19,33,35,40,48,50,54,59,61,6,15,18,20,25,26,29,31,41,44,52,58,63,13,22,66,129,133,156])).
% 174.38/174.46 cnf(3008,plain,
% 174.38/174.46 (~E(f2(f2(a29,a29),f2(a29,a29)),a1)),
% 174.38/174.46 inference(scs_inference,[],[84,181,762,1281,2142,1904,2880,529,776,964,672,881,420,809,1065,1097,2737,2883,2,3,64,120,121,30,38,45,4,8,12,56,7,10,11,16,17,23,34,47,49,53,55,60,9,24,27,39,57,5,21,28,32,36,37,42,43,46,51,62,14,19,33,35,40,48,50,54,59,61,6,15,18,20,25,26,29,31,41,44,52,58,63,13,22,66,129,133,156,124,126,113])).
% 174.38/174.46 cnf(3017,plain,
% 174.38/174.46 (P4(x30171)+~E(x30171,f27(f25(a1),f25(a1)))),
% 174.38/174.46 inference(scs_inference,[],[84,181,762,1317,1281,806,2142,1904,2880,547,86,529,776,964,672,789,881,420,294,553,1436,809,1065,1097,2737,1784,2883,2,3,64,120,121,30,38,45,4,8,12,56,7,10,11,16,17,23,34,47,49,53,55,60,9,24,27,39,57,5,21,28,32,36,37,42,43,46,51,62,14,19,33,35,40,48,50,54,59,61,6,15,18,20,25,26,29,31,41,44,52,58,63,13,22,66,129,133,156,124,126,113,65,71,72,81,82,98,116])).
% 174.38/174.46 cnf(3023,plain,
% 174.38/174.46 (P4(f27(f25(a1),f25(a1)))),
% 174.38/174.46 inference(equality_inference,[],[3017])).
% 174.38/174.46 cnf(3030,plain,
% 174.38/174.46 (~E(f2(a29,f26(a1,a29)),a1)),
% 174.38/174.46 inference(scs_inference,[],[382,1281,806,2142,858,85,86,776,420,2883,2,3,124,154,113])).
% 174.38/174.46 cnf(3056,plain,
% 174.38/174.46 (~E(f2(a29,a29),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2931,2])).
% 174.38/174.46 cnf(3057,plain,
% 174.38/174.46 (~E(f2(f26(a1,a29),f26(a1,a29)),f26(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[777,1498,2931,2,3])).
% 174.38/174.46 cnf(3058,plain,
% 174.38/174.46 (P8(f2(a1,a1),f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[1317,777,1498,2931,921,2,3,81])).
% 174.38/174.46 cnf(3079,plain,
% 174.38/174.46 (E(f2(a1,a29),f2(a1,f11(a1,a1)))),
% 174.38/174.46 inference(scs_inference,[],[558,2])).
% 174.38/174.46 cnf(3080,plain,
% 174.38/174.46 (~E(f2(a29,f26(a1,a29)),f2(a29,a1))),
% 174.38/174.46 inference(scs_inference,[],[1498,558,1654,2,3])).
% 174.38/174.46 cnf(3082,plain,
% 174.38/174.46 (P8(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f2(a1,a1))),
% 174.38/174.46 inference(scs_inference,[],[2142,1498,558,2026,1654,2,3,81])).
% 174.38/174.46 cnf(3083,plain,
% 174.38/174.46 (P8(f26(a1,a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2142,1498,558,2030,2026,1654,2,3,81,82])).
% 174.38/174.46 cnf(3106,plain,
% 174.38/174.46 (P1(f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))))),
% 174.38/174.46 inference(scs_inference,[],[2142,2257,1498,558,3002,85,86,529,776,964,2030,2026,1654,2,3,81,82,104,107,105,108,109,97,102,106,99,100,103,64])).
% 174.38/174.46 cnf(3126,plain,
% 174.38/174.46 (~E(f26(a1,a1),f2(f26(a1,a29),f26(a1,a29)))),
% 174.38/174.46 inference(scs_inference,[],[3057,2])).
% 174.38/174.46 cnf(3127,plain,
% 174.38/174.46 (E(f2(a1,a1),f2(a1,f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[2142,3057,1413,2,3])).
% 174.38/174.47 cnf(3143,plain,
% 174.38/174.47 (E(f25(f2(a1,a29)),f25(f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[1317,2142,3057,3023,1653,1784,1413,1740,2,3,66,111,38,22,41,56,52,20,7,37,26,40,24,8])).
% 174.38/174.47 cnf(3212,plain,
% 174.38/174.47 (E(f2(f28(a29),f28(a1)),f2(f28(a1),f28(a29)))),
% 174.38/174.47 inference(scs_inference,[],[2388,1878,1123,2,3])).
% 174.38/174.47 cnf(3213,plain,
% 174.38/174.47 (P8(f2(f2(a1,a29),f11(f2(a1,a29),f2(a1,a1))),f2(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[2257,2388,1878,2026,1123,2,3,81])).
% 174.38/174.47 cnf(3219,plain,
% 174.38/174.47 (P1(f2(f26(a1,a29),f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[586,2257,2388,1878,3002,776,672,294,2026,1123,1600,2,3,81,82,64,120,121])).
% 174.38/174.47 cnf(3222,plain,
% 174.38/174.47 (P3(f2(a29,f26(a1,a29)),f25(a29))),
% 174.38/174.47 inference(scs_inference,[],[762,586,2257,2388,1878,3002,776,672,294,2026,1654,1123,1600,2941,2,3,81,82,64,120,121,66,128])).
% 174.38/174.47 cnf(3236,plain,
% 174.38/174.47 (P1(f2(a29,f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3080,3222,2,1882])).
% 174.38/174.47 cnf(3238,plain,
% 174.38/174.47 (~E(f2(a1,f11(f2(a1,a1),f2(a1,a1))),f2(a29,a29))),
% 174.38/174.47 inference(scs_inference,[],[2931,3080,1413,3222,2,1882,3])).
% 174.38/174.47 cnf(3246,plain,
% 174.38/174.47 (P3(f2(a32,a1),f25(f26(a32,a1)))),
% 174.38/174.47 inference(scs_inference,[],[84,2931,3080,88,776,672,964,881,2495,1413,783,2112,1414,3222,2,1882,3,121,129,133,128])).
% 174.38/174.47 cnf(3268,plain,
% 174.38/174.47 (E(f26(a1,a1),f2(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[1475,858,1543,2,3])).
% 174.38/174.47 cnf(3289,plain,
% 174.38/174.47 (E(f2(a29,f26(a1,a29)),f26(a1,a29))),
% 174.38/174.47 inference(scs_inference,[],[2142,1475,858,1543,189,776,89,964,2026,2499,3082,2932,2,3,81,82,126,107,104,109,99,105,106,108,97,103])).
% 174.38/174.47 cnf(3296,plain,
% 174.38/174.47 (P1(f11(f26(a1,a1),f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[762,2142,1475,858,1543,189,86,776,89,964,606,2026,2030,2499,3082,2932,2,3,81,82,126,107,104,109,99,105,106,108,97,103,102,100,69,129])).
% 174.38/174.47 cnf(3302,plain,
% 174.38/174.47 (P3(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f25(a1))),
% 174.38/174.47 inference(scs_inference,[],[84,762,2142,1475,858,1543,189,86,776,89,964,881,420,606,1313,2495,2026,2030,2883,2499,3082,2932,2,3,81,82,126,107,104,109,99,105,106,108,97,103,102,100,69,129,133,124,65])).
% 174.38/174.47 cnf(3311,plain,
% 174.38/174.47 (~E(f2(f26(a1,a29),f26(a1,a29)),f2(a1,f11(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[558,1418,3238,2,3])).
% 174.38/174.47 cnf(3313,plain,
% 174.38/174.47 (P8(f26(a1,f28(a1)),f28(a1))),
% 174.38/174.47 inference(scs_inference,[],[2257,2192,558,1418,3238,2495,2130,2,3,82,81])).
% 174.38/174.47 cnf(3314,plain,
% 174.38/174.47 (P1(f2(a32,a1))),
% 174.38/174.47 inference(scs_inference,[],[2257,2192,558,1418,3238,2120,2495,2130,3246,2,3,82,81,111])).
% 174.38/174.47 cnf(3347,plain,
% 174.38/174.47 (E(f2(a1,x33471),f2(f2(a1,a1),x33471))),
% 174.38/174.47 inference(scs_inference,[],[806,2257,2192,558,1418,3238,2120,2495,2130,3246,2,3,82,81,111,11,25,23,9,56,22,38,31,52,18,29,14,24,46,16,26,40,7,28,41,59,47,20,21,42,48,57,33,43,37,55,4])).
% 174.38/174.47 cnf(3357,plain,
% 174.38/174.47 (E(f25(a1),f25(f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[806,2257,2192,558,1418,3238,2120,2495,2130,3246,2,3,82,81,111,11,25,23,9,56,22,38,31,52,18,29,14,24,46,16,26,40,7,28,41,59,47,20,21,42,48,57,33,43,37,55,4,10,19,36,30,5,63,50,34,54,8])).
% 174.38/174.47 cnf(3380,plain,
% 174.38/174.47 (P1(f14(a32,f25(f26(a32,a1)),f2(a32,a1)))),
% 174.38/174.47 inference(scs_inference,[],[762,806,2257,2388,2192,558,1418,3238,2120,776,88,672,2495,1058,2112,2130,1553,3246,2,3,82,81,111,11,25,23,9,56,22,38,31,52,18,29,14,24,46,16,26,40,7,28,41,59,47,20,21,42,48,57,33,43,37,55,4,10,19,36,30,5,63,50,34,54,8,13,15,61,58,62,27,51,17,35,32,45,6,39,60,49,53,12,44,64,77,126,156])).
% 174.38/174.47 cnf(3390,plain,
% 174.38/174.47 (~E(f2(a29,f26(a1,a29)),f2(a1,a29))),
% 174.38/174.47 inference(scs_inference,[],[1418,3268,1654,2,3])).
% 174.38/174.47 cnf(3411,plain,
% 174.38/174.47 (~E(f2(a1,a29),f2(a29,f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3390,2])).
% 174.38/174.47 cnf(3412,plain,
% 174.38/174.47 (E(f2(a29,a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[2142,997,3390,2,3])).
% 174.38/174.47 cnf(3414,plain,
% 174.38/174.47 (P8(f28(a1),f26(a1,f28(a1)))),
% 174.38/174.47 inference(scs_inference,[],[2142,997,2192,3390,2130,1075,2,3,81,82])).
% 174.38/174.47 cnf(3432,plain,
% 174.38/174.47 (E(f2(a1,a29),f26(f28(a1),f28(f28(a1))))),
% 174.38/174.47 inference(scs_inference,[],[2576,2159,183,2,3])).
% 174.38/174.47 cnf(3469,plain,
% 174.38/174.47 (P3(f2(a1,a30),f25(a1))),
% 174.38/174.47 inference(scs_inference,[],[762,382,1475,2576,2159,85,183,776,529,89,964,555,881,420,1313,2883,962,1413,2215,3143,3357,1443,2,3,120,121,156,113,127,107,109,99,104,106,103,105,108,97,100,102,70,158,65])).
% 174.38/174.47 cnf(3477,plain,
% 174.38/174.47 (~E(f2(a29,f26(a1,a29)),f26(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[3057,3311,1654,2,3])).
% 174.38/174.47 cnf(3512,plain,
% 174.38/174.47 (E(f14(f26(a1,a1),x35121,x35122),f14(f2(a1,a30),x35121,x35122))),
% 174.38/174.47 inference(scs_inference,[],[84,1475,586,2257,3057,3311,881,1654,3106,2,3,121,127,22,31,25,23,38,18,46,28,11,21,7,40,43,19,63,48,56,37,9,42,16,57,5,41,8,59,24,20,15,61])).
% 174.38/174.47 cnf(3546,plain,
% 174.38/174.47 (E(f2(f26(a1,a29),f14(f26(a1,a29),f25(a29),a1)),a1)),
% 174.38/174.47 inference(scs_inference,[],[84,762,1475,586,2257,3057,3311,776,881,800,781,1654,1473,2737,2941,3106,2,3,121,127,22,31,25,23,38,18,46,28,11,21,7,40,43,19,63,48,56,37,9,42,16,57,5,41,8,59,24,20,15,61,33,35,58,29,10,62,52,26,30,14,34,54,32,17,49,47,4,55,36,27,45,13,53,50,51,39,12,60,6,44,76,129,158])).
% 174.38/174.47 cnf(3553,plain,
% 174.38/174.47 (E(f2(a29,a1),f2(a1,a30))),
% 174.38/174.47 inference(scs_inference,[],[1475,642,2341,2,3])).
% 174.38/174.47 cnf(3557,plain,
% 174.38/174.47 (E(f2(f26(a1,a1),f11(f26(a1,a1),f2(a1,a1))),f2(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[1475,642,1878,2341,964,672,881,606,2030,1097,2,3,64,129,133])).
% 174.38/174.47 cnf(3573,plain,
% 174.38/174.47 (E(f26(a1,f28(a1)),f26(f28(a1),a1))),
% 174.38/174.47 inference(scs_inference,[],[2442,3477,1125,2,3])).
% 174.38/174.47 cnf(3586,plain,
% 174.38/174.47 (E(f2(a1,a30),f2(a29,a1))),
% 174.38/174.47 inference(scs_inference,[],[3553,2])).
% 174.38/174.47 cnf(3587,plain,
% 174.38/174.47 (~E(f26(a1,a29),f26(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[3477,3553,3289,2,3])).
% 174.38/174.47 cnf(3615,plain,
% 174.38/174.47 (P1(f14(a29,f25(f26(a1,a29)),a29))),
% 174.38/174.47 inference(scs_inference,[],[806,3477,3553,1749,85,529,964,672,1653,1784,2981,3106,3213,3289,2,3,64,126,107,104,109,99,103,106,105,97,100,108,102,66,156])).
% 174.38/174.47 cnf(3626,plain,
% 174.38/174.47 (E(f2(a1,a30),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[2142,858,3587,2,3])).
% 174.38/174.47 cnf(3635,plain,
% 174.38/174.47 (E(f25(a1),f25(f26(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[2142,586,858,3587,606,2,3,120,23,38,48,31,25,16,8])).
% 174.38/174.47 cnf(3703,plain,
% 174.38/174.47 (E(f2(f2(a1,a1),f26(a1,a1)),f26(f2(a1,a1),f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[415,2577,1413,2,3])).
% 174.38/174.47 cnf(3711,plain,
% 174.38/174.47 (~P1(f2(f2(a29,a29),f2(a29,a29)))+P7(f3(f2(f2(a29,a29),f2(a29,a29))))),
% 174.38/174.47 inference(scs_inference,[],[1281,415,2577,3002,776,606,630,1413,3008,3546,2,3,120,121,113,98])).
% 174.38/174.47 cnf(3713,plain,
% 174.38/174.47 (P1(f14(f2(a1,a1),f25(a1),f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[1281,415,2577,3002,964,776,606,630,1313,1413,3357,3008,3546,2,3,120,121,113,98,156])).
% 174.38/174.47 cnf(3730,plain,
% 174.38/174.47 (~E(f2(a29,f26(a1,a29)),f2(a1,f11(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[3311,1654,3008,2,3])).
% 174.38/174.47 cnf(3750,plain,
% 174.38/174.47 (E(f2(a1,f11(a1,a1)),f2(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[1317,558,1720,2,3])).
% 174.38/174.47 cnf(3785,plain,
% 174.38/174.47 (~E(f2(a29,a29),f2(a1,f11(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[1922,3750,3730,2,3])).
% 174.38/174.47 cnf(3803,plain,
% 174.38/174.47 (E(f25(f2(a29,a1)),f25(f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[997,1922,3750,3730,3713,1369,2,3,64,23,25,21,40,37,31,16,18,33,38,30,35,61,59,22,8])).
% 174.38/174.47 cnf(3823,plain,
% 174.38/174.47 (E(f2(f2(a29,a1),x38231),f2(f2(a1,a1),x38231))),
% 174.38/174.47 inference(scs_inference,[],[997,643,1922,3750,3730,3713,1369,2,3,64,23,25,21,40,37,31,16,18,33,38,30,35,61,59,22,8,7,20,45,48,42,58,62,57,11,63,9,46,43,10,26,19,29,49,34,4])).
% 174.38/174.47 cnf(3861,plain,
% 174.38/174.47 (~E(f26(a1,a29),f2(a1,f11(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[3750,3730,3289,2,3])).
% 174.38/174.47 cnf(3862,plain,
% 174.38/174.47 (P1(f14(f26(a1,a1),f25(a1),f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[3750,3730,606,1313,3289,3635,2,3,156])).
% 174.38/174.47 cnf(3884,plain,
% 174.38/174.47 (E(f26(a1,a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[2142,3268,3785,2,3])).
% 174.38/174.47 cnf(3887,plain,
% 174.38/174.47 (P3(f26(f2(a1,a1),f2(a1,a1)),f25(a1))),
% 174.38/174.47 inference(scs_inference,[],[2142,3268,3703,3785,964,606,2883,3357,2,3,120,128])).
% 174.38/174.47 cnf(3897,plain,
% 174.38/174.47 (P2(f26(a1,a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[382,2142,3268,3703,3785,3713,85,964,606,1301,2883,548,3357,2027,1933,3219,1554,2,3,120,128,113,119,158,81,82,72])).
% 174.38/174.47 cnf(3910,plain,
% 174.38/174.47 (P8(f26(a1,a29),f2(a29,f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3703,776,380,1654,3236,3823,2,3,121,127])).
% 174.38/174.47 cnf(3947,plain,
% 174.38/174.47 (~E(a29,f2(a1,f11(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[3785,3861,437,2,3])).
% 174.38/174.47 cnf(3949,plain,
% 174.38/174.47 (P1(f2(f2(a29,a29),f2(a29,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3785,3861,2883,437,2941,3222,2,3,66,121])).
% 174.38/174.47 cnf(3987,plain,
% 174.38/174.47 (E(f25(a1),f25(f2(a29,a1)))),
% 174.38/174.47 inference(scs_inference,[],[382,643,642,3703,3785,3861,85,964,606,1301,2883,3219,1060,437,2941,3222,2,3,66,121,113,127,23,21,25,18,30,31,38,33,35,7,62,42,61,11,20,58,40,16,37,9,43,10,49,57,45,28,59,22,47,48,34,63,8])).
% 174.38/174.47 cnf(3995,plain,
% 174.38/174.47 (E(f2(a1,x39951),f2(f2(a29,a1),x39951))),
% 174.38/174.47 inference(scs_inference,[],[382,643,642,3703,3785,3861,85,964,606,1301,2883,3219,1060,437,2941,3222,2,3,66,121,113,127,23,21,25,18,30,31,38,33,35,7,62,42,61,11,20,58,40,16,37,9,43,10,49,57,45,28,59,22,47,48,34,63,8,19,26,54,17,46,56,32,4])).
% 174.38/174.47 cnf(4018,plain,
% 174.38/174.47 (P2(f26(a1,f28(a1)),f28(a1))),
% 174.38/174.47 inference(scs_inference,[],[382,643,642,3703,3785,3861,85,195,964,776,606,1301,2883,3219,1060,437,2941,3313,2232,3222,2,3,66,121,113,127,23,21,25,18,30,31,38,33,35,7,62,42,61,11,20,58,40,16,37,9,43,10,49,57,45,28,59,22,47,48,34,63,8,19,26,54,17,46,56,32,4,13,36,29,53,39,15,5,27,41,55,14,52,50,44,24,51,60,6,12,3711,129,126])).
% 174.38/174.47 cnf(4022,plain,
% 174.38/174.47 (P8(f2(a1,a30),f26(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[382,643,642,3703,3785,3861,3713,85,195,964,776,606,1301,2883,1097,3219,1060,437,2941,3313,2232,3222,2,3,66,121,113,127,23,21,25,18,30,31,38,33,35,7,62,42,61,11,20,58,40,16,37,9,43,10,49,57,45,28,59,22,47,48,34,63,8,19,26,54,17,46,56,32,4,13,36,29,53,39,15,5,27,41,55,14,52,50,44,24,51,60,6,12,3711,129,126,124,82])).
% 174.38/174.47 cnf(4044,plain,
% 174.38/174.47 (P2(f2(a1,a30),f26(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[84,586,382,3573,415,2415,3862,85,672,881,87,606,1313,1060,217,4022,3512,3987,2,3,64,156,154,127,66,126])).
% 174.38/174.47 cnf(4048,plain,
% 174.38/174.47 (P3(f26(f2(a1,a1),f2(a1,a1)),f25(f2(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[84,586,382,3573,415,2415,3862,85,672,881,87,606,1313,1412,1060,3008,217,4022,3949,3512,3987,2,3,64,156,154,127,66,126,124,128])).
% 174.38/174.47 cnf(4056,plain,
% 174.38/174.47 (E(f2(f26(a29,a29),f26(a1,a29)),f26(f2(a29,a29),f2(a29,a29)))),
% 174.38/174.47 inference(scs_inference,[],[1789,3947,1655,2,3])).
% 174.38/174.47 cnf(4058,plain,
% 174.38/174.47 (~E(f2(f2(a29,f26(a1,a29)),f2(a29,f26(a1,a29))),a1)),
% 174.38/174.47 inference(scs_inference,[],[1789,3947,1655,3030,3236,2,3,113])).
% 174.38/174.47 cnf(4068,plain,
% 174.38/174.47 (E(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f26(a1,a1))),
% 174.38/174.47 inference(scs_inference,[],[3884,2])).
% 174.38/174.47 cnf(4072,plain,
% 174.38/174.47 (P2(f2(a1,a30),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[3884,1284,4044,3897,2,120,71,72])).
% 174.38/174.47 cnf(4076,plain,
% 174.38/174.47 (~E(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f2(f26(a1,a29),f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3126,3884,1284,3083,4044,3910,2940,3897,2,120,71,72,81,82,3])).
% 174.38/174.47 cnf(4091,plain,
% 174.38/174.47 (P3(f2(a1,f14(a1,f25(f2(a1,a30)),a1)),f25(f2(a29,a1)))),
% 174.38/174.47 inference(scs_inference,[],[3126,3884,1284,2885,3083,4048,4044,3910,2940,3897,3949,3803,3008,1413,2883,1412,420,964,84,2,120,71,72,81,82,3,151,140,150,139,154,158,124,128])).
% 174.38/174.47 cnf(4123,plain,
% 174.38/174.47 (E(f2(a29,f2(a29,a29)),f2(f2(a29,a29),f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[4076,1905,3615,2961,2,120,3])).
% 174.38/174.47 cnf(4159,plain,
% 174.38/174.47 (E(f25(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1)))),f25(f26(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[4068,4076,1905,3615,3314,2961,2,120,3,140,139,6,12,51,24,44,55,50,60,14,52,56,4,41,36,15,46,29,27,32,13,28,48,5,54,17,34,43,39,47,53,8])).
% 174.38/174.47 cnf(4167,plain,
% 174.38/174.47 (E(f14(x41671,x41672,f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1)))),f14(x41671,x41672,f26(a1,a1)))),
% 174.38/174.47 inference(scs_inference,[],[4068,4076,1905,3615,3314,2961,2,120,3,140,139,6,12,51,24,44,55,50,60,14,52,56,4,41,36,15,46,29,27,32,13,28,48,5,54,17,34,43,39,47,53,8,10,37,9,59,49,45,40,63])).
% 174.38/174.47 cnf(4189,plain,
% 174.38/174.47 (P4(x41891)+~E(x41891,f25(f14(a29,f25(f26(a1,a29)),a29)))),
% 174.38/174.47 inference(scs_inference,[],[4068,4076,1905,3615,3314,2961,2,120,3,140,139,6,12,51,24,44,55,50,60,14,52,56,4,41,36,15,46,29,27,32,13,28,48,5,54,17,34,43,39,47,53,8,10,37,9,59,49,45,40,63,26,7,19,61,58,42,11,22,35,57,20,30,16,18,38,31,33,62,21,25,23,101])).
% 174.38/174.47 cnf(4204,plain,
% 174.38/174.47 (P4(f25(f14(a29,f25(f26(a1,a29)),a29)))),
% 174.38/174.47 inference(equality_inference,[],[4189])).
% 174.38/174.47 cnf(4205,plain,
% 174.38/174.47 (E(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))),f2(a29,a1))),
% 174.38/174.47 inference(scs_inference,[],[3412,2])).
% 174.38/174.47 cnf(4206,plain,
% 174.38/174.47 (E(f2(a1,a1),f26(f28(a1),f28(f28(a1))))),
% 174.38/174.47 inference(scs_inference,[],[3412,2830,3432,2,3])).
% 174.38/174.47 cnf(4225,plain,
% 174.38/174.47 (~E(f2(f26(a1,a29),a29),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1))))),
% 174.38/174.47 inference(scs_inference,[],[3056,4206,3380,4058,2867,2940,2,121,65,3])).
% 174.38/174.47 cnf(4227,plain,
% 174.38/174.47 (P1(f14(f26(a1,a1),f25(a1),f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1)))))),
% 174.38/174.47 inference(scs_inference,[],[3056,4206,3380,3302,4058,2867,2940,3635,606,2,121,65,3,156])).
% 174.38/174.47 cnf(4249,plain,
% 174.38/174.47 (E(f2(f28(a1),f28(a29)),f2(f28(a29),f28(a1)))),
% 174.38/174.47 inference(scs_inference,[],[3212,2])).
% 174.38/174.47 cnf(4254,plain,
% 174.38/174.47 (E(f2(a1,a29),f2(a29,a1))),
% 174.38/174.47 inference(scs_inference,[],[3212,2862,4205,4227,4167,4159,606,2,101,64,3])).
% 174.38/174.47 cnf(4259,plain,
% 174.38/174.47 (P3(f2(a1,a1),f25(f2(f2(a1,a1),f11(f2(a1,a1),f2(a1,a1)))))),
% 174.38/174.47 inference(scs_inference,[],[3212,2862,4205,4227,3557,3296,4167,3469,4159,3987,606,672,2,101,64,3,158,156,128])).
% 174.38/174.47 cnf(4293,plain,
% 174.38/174.47 (~E(a29,f2(a1,a29))),
% 174.38/174.47 inference(scs_inference,[],[4254,4225,1745,2,3])).
% 174.38/174.47 cnf(4376,plain,
% 174.38/174.47 (~E(f2(f26(a1,a1),f11(f26(a1,a1),f2(a1,a29))),f2(a29,f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[3411,4056,2657,536,2,120,3])).
% 174.38/174.47 cnf(4385,plain,
% 174.38/174.47 (P8(f2(f28(a1),f11(f28(a1),f28(a1))),f26(a1,f28(a1)))),
% 174.38/174.47 inference(scs_inference,[],[3411,4249,4056,3586,2657,2731,778,536,3414,4072,3030,2640,3236,2,120,3,124,125,98,71,72,81])).
% 174.38/174.47 cnf(4392,plain,
% 174.38/174.47 (E(f2(a30,f26(a30,a30)),f2(f26(a30,a30),a30))),
% 174.38/174.47 inference(scs_inference,[],[1212,4376,636,2,3])).
% 174.38/174.47 cnf(4405,plain,
% 174.38/174.47 (P1(f14(f2(a1,a1),f25(f2(a29,a1)),f2(a1,f14(a1,f25(f2(a1,a30)),a1))))),
% 174.38/174.47 inference(scs_inference,[],[1212,4376,1281,4204,977,4259,4091,636,2895,3803,4159,606,776,964,2,3,154,121,111,151,150,158,156])).
% 174.38/174.47 cnf(4409,plain,
% 174.38/174.47 (P3(f2(f2(a29,a29),f26(a1,a29)),f25(f26(a1,a29)))),
% 174.38/174.47 inference(scs_inference,[],[1212,4123,4376,1281,4204,977,4259,4091,636,2895,3803,3949,4159,3008,2883,1653,606,776,964,85,2,3,154,121,111,151,150,158,156,113,128])).
% 174.38/174.47 cnf(4414,plain,
% 174.38/174.47 (E(f2(f26(a30,a30),a30),f2(a30,f26(a30,a30)))),
% 174.38/174.47 inference(scs_inference,[],[4392,2])).
% 174.38/174.47 cnf(4543,plain,
% 174.38/174.47 (P8(f2(a1,f11(f2(a1,a1),f2(a1,a1))),f2(a29,a1))),
% 174.38/174.47 inference(scs_inference,[],[4414,2812,3127,4293,2731,3573,4405,1675,3887,3347,4409,3058,4018,2961,3635,573,3236,85,2,111,66,3,151,139,150,140,127,12,6,24,52,44,51,60,56,4,27,29,50,55,46,37,41,14,28,36,34,39,47,5,48,8,26,13,22,42,15,31,7,32,20,54,19,63,43,10,17,30,57,16,35,45,59,11,53,62,49,18,9,38,58,61,40,23,33,21,25,112,71,72,81])).
% 174.38/174.47 cnf(4609,plain,
% 174.38/174.47 ($false),
% 174.38/174.47 inference(scs_inference,[],[2861,2015,3626,3079,3573,4385,4543,3995,1187,2494,1932,89,88,86,2,71,72,82,81,3,150]),
% 174.38/174.47 ['proof']).
% 174.38/174.47 % SZS output end Proof
% 174.38/174.47 % Total time :173.590000s
%------------------------------------------------------------------------------