TSTP Solution File: NUM480+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:22:22 EDT 2023
% Result : Theorem 8.41s 8.52s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 17:38:21 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 8.41/8.50 %-------------------------------------------
% 8.41/8.50 % File :CSE---1.6
% 8.41/8.50 % Problem :theBenchmark
% 8.41/8.50 % Transform :cnf
% 8.41/8.50 % Format :tptp:raw
% 8.41/8.50 % Command :java -jar mcs_scs.jar %d %s
% 8.41/8.50
% 8.41/8.50 % Result :Theorem 7.890000s
% 8.41/8.50 % Output :CNFRefutation 7.890000s
% 8.41/8.50 %-------------------------------------------
% 8.41/8.51 %------------------------------------------------------------------------------
% 8.41/8.51 % File : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% 8.41/8.51 % Domain : Number Theory
% 8.41/8.51 % Problem : Square root of a prime is irrational 12_02, 01 expansion
% 8.41/8.51 % Version : Especial.
% 8.41/8.51 % English :
% 8.41/8.51
% 8.41/8.51 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 8.41/8.51 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 8.41/8.51 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 8.41/8.51 % Source : [Pas08]
% 8.41/8.51 % Names : primes_12_02.01 [Pas08]
% 8.41/8.51
% 8.41/8.51 % Status : Theorem
% 8.41/8.51 % Rating : 0.25 v7.5.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.30 v5.5.0, 0.48 v5.4.0, 0.50 v5.3.0, 0.52 v5.2.0, 0.50 v5.1.0, 0.62 v4.1.0, 0.61 v4.0.1, 0.87 v4.0.0
% 8.41/8.51 % Syntax : Number of formulae : 40 ( 2 unt; 4 def)
% 8.41/8.51 % Number of atoms : 179 ( 56 equ)
% 8.41/8.51 % Maximal formula atoms : 10 ( 4 avg)
% 8.41/8.51 % Number of connectives : 155 ( 16 ~; 7 |; 74 &)
% 8.41/8.51 % ( 4 <=>; 54 =>; 0 <=; 0 <~>)
% 8.41/8.51 % Maximal formula depth : 11 ( 6 avg)
% 8.41/8.51 % Maximal term depth : 4 ( 1 avg)
% 8.41/8.51 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 8.41/8.51 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 8.41/8.51 % Number of variables : 76 ( 73 !; 3 ?)
% 8.41/8.51 % SPC : FOF_THM_RFO_SEQ
% 8.41/8.51
% 8.41/8.51 % Comments : Problem generated by the SAD system [VLP07]
% 8.41/8.51 %------------------------------------------------------------------------------
% 8.41/8.51 fof(mNatSort,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => $true ) ).
% 8.41/8.51
% 8.41/8.51 fof(mSortsC,axiom,
% 8.41/8.51 aNaturalNumber0(sz00) ).
% 8.41/8.51
% 8.41/8.51 fof(mSortsC_01,axiom,
% 8.41/8.51 ( aNaturalNumber0(sz10)
% 8.41/8.51 & sz10 != sz00 ) ).
% 8.41/8.51
% 8.41/8.51 fof(mSortsB,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mSortsB_02,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mAddComm,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mAddAsso,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 8.41/8.51
% 8.41/8.51 fof(m_AddZero,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => ( sdtpldt0(W0,sz00) = W0
% 8.41/8.51 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mMulComm,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mMulAsso,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 8.41/8.51
% 8.41/8.51 fof(m_MulUnit,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => ( sdtasdt0(W0,sz10) = W0
% 8.41/8.51 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(m_MulZero,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => ( sdtasdt0(W0,sz00) = sz00
% 8.41/8.51 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mAMDistr,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 8.41/8.51 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mAddCanc,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 8.41/8.51 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 8.41/8.51 => W1 = W2 ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mMulCanc,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => ( W0 != sz00
% 8.41/8.51 => ! [W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 8.41/8.51 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 8.41/8.51 => W1 = W2 ) ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mZeroAdd,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( sdtpldt0(W0,W1) = sz00
% 8.41/8.51 => ( W0 = sz00
% 8.41/8.51 & W1 = sz00 ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mZeroMul,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( sdtasdt0(W0,W1) = sz00
% 8.41/8.51 => ( W0 = sz00
% 8.41/8.51 | W1 = sz00 ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mDefLE,definition,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( sdtlseqdt0(W0,W1)
% 8.41/8.51 <=> ? [W2] :
% 8.41/8.51 ( aNaturalNumber0(W2)
% 8.41/8.51 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mDefDiff,definition,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( sdtlseqdt0(W0,W1)
% 8.41/8.51 => ! [W2] :
% 8.41/8.51 ( W2 = sdtmndt0(W1,W0)
% 8.41/8.51 <=> ( aNaturalNumber0(W2)
% 8.41/8.51 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mLERefl,axiom,
% 8.41/8.51 ! [W0] :
% 8.41/8.51 ( aNaturalNumber0(W0)
% 8.41/8.51 => sdtlseqdt0(W0,W0) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mLEAsym,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( ( sdtlseqdt0(W0,W1)
% 8.41/8.51 & sdtlseqdt0(W1,W0) )
% 8.41/8.51 => W0 = W1 ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mLETran,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => ( ( sdtlseqdt0(W0,W1)
% 8.41/8.51 & sdtlseqdt0(W1,W2) )
% 8.41/8.51 => sdtlseqdt0(W0,W2) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mLETotal,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( sdtlseqdt0(W0,W1)
% 8.41/8.51 | ( W1 != W0
% 8.41/8.51 & sdtlseqdt0(W1,W0) ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mMonAdd,axiom,
% 8.41/8.51 ! [W0,W1] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1) )
% 8.41/8.51 => ( ( W0 != W1
% 8.41/8.51 & sdtlseqdt0(W0,W1) )
% 8.41/8.51 => ! [W2] :
% 8.41/8.51 ( aNaturalNumber0(W2)
% 8.41/8.51 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 8.41/8.51 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 8.41/8.51 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 8.41/8.51 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 8.41/8.51
% 8.41/8.51 fof(mMonMul,axiom,
% 8.41/8.51 ! [W0,W1,W2] :
% 8.41/8.51 ( ( aNaturalNumber0(W0)
% 8.41/8.51 & aNaturalNumber0(W1)
% 8.41/8.51 & aNaturalNumber0(W2) )
% 8.41/8.51 => ( ( W0 != sz00
% 8.41/8.51 & W1 != W2
% 8.41/8.51 & sdtlseqdt0(W1,W2) )
% 8.41/8.51 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 8.41/8.51 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 8.41/8.51 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 8.41/8.52 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mLENTr,axiom,
% 8.41/8.52 ! [W0] :
% 8.41/8.52 ( aNaturalNumber0(W0)
% 8.41/8.52 => ( W0 = sz00
% 8.41/8.52 | W0 = sz10
% 8.41/8.52 | ( sz10 != W0
% 8.41/8.52 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mMonMul2,axiom,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( W0 != sz00
% 8.41/8.52 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mIH,axiom,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( iLess0(W0,W1)
% 8.41/8.52 => $true ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mIH_03,axiom,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( ( W0 != W1
% 8.41/8.52 & sdtlseqdt0(W0,W1) )
% 8.41/8.52 => iLess0(W0,W1) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDefDiv,definition,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( doDivides0(W0,W1)
% 8.41/8.52 <=> ? [W2] :
% 8.41/8.52 ( aNaturalNumber0(W2)
% 8.41/8.52 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDefQuot,definition,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( ( W0 != sz00
% 8.41/8.52 & doDivides0(W0,W1) )
% 8.41/8.52 => ! [W2] :
% 8.41/8.52 ( W2 = sdtsldt0(W1,W0)
% 8.41/8.52 <=> ( aNaturalNumber0(W2)
% 8.41/8.52 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDivTrans,axiom,
% 8.41/8.52 ! [W0,W1,W2] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1)
% 8.41/8.52 & aNaturalNumber0(W2) )
% 8.41/8.52 => ( ( doDivides0(W0,W1)
% 8.41/8.52 & doDivides0(W1,W2) )
% 8.41/8.52 => doDivides0(W0,W2) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDivSum,axiom,
% 8.41/8.52 ! [W0,W1,W2] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1)
% 8.41/8.52 & aNaturalNumber0(W2) )
% 8.41/8.52 => ( ( doDivides0(W0,W1)
% 8.41/8.52 & doDivides0(W0,W2) )
% 8.41/8.52 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDivMin,axiom,
% 8.41/8.52 ! [W0,W1,W2] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1)
% 8.41/8.52 & aNaturalNumber0(W2) )
% 8.41/8.52 => ( ( doDivides0(W0,W1)
% 8.41/8.52 & doDivides0(W0,sdtpldt0(W1,W2)) )
% 8.41/8.52 => doDivides0(W0,W2) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(mDivLE,axiom,
% 8.41/8.52 ! [W0,W1] :
% 8.41/8.52 ( ( aNaturalNumber0(W0)
% 8.41/8.52 & aNaturalNumber0(W1) )
% 8.41/8.52 => ( ( doDivides0(W0,W1)
% 8.41/8.52 & W1 != sz00 )
% 8.41/8.52 => sdtlseqdt0(W0,W1) ) ) ).
% 8.41/8.52
% 8.41/8.52 fof(m__1524,hypothesis,
% 8.41/8.52 ( aNaturalNumber0(xl)
% 8.41/8.52 & aNaturalNumber0(xm) ) ).
% 8.41/8.52
% 8.41/8.52 fof(m__1524_04,hypothesis,
% 8.41/8.52 ( xl != sz00
% 8.41/8.52 & ? [W0] :
% 8.41/8.52 ( aNaturalNumber0(W0)
% 8.41/8.52 & xm = sdtasdt0(xl,W0) )
% 8.41/8.52 & doDivides0(xl,xm) ) ).
% 8.41/8.52
% 8.41/8.52 fof(m__1553,hypothesis,
% 8.41/8.52 aNaturalNumber0(xn) ).
% 8.41/8.52
% 8.41/8.52 fof(m__1594,hypothesis,
% 8.41/8.52 ( aNaturalNumber0(sdtsldt0(xm,xl))
% 8.41/8.52 & xm = sdtasdt0(xl,sdtsldt0(xm,xl))
% 8.41/8.52 & aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
% 8.41/8.52 & sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))
% 8.41/8.52 & sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ) ).
% 8.41/8.52
% 8.41/8.52 fof(m__,conjecture,
% 8.41/8.52 ( ( aNaturalNumber0(sdtsldt0(xm,xl))
% 8.41/8.52 & xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
% 8.41/8.52 => ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
% 8.41/8.52 | sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ) ).
% 8.41/8.52
% 8.41/8.52 %------------------------------------------------------------------------------
% 8.41/8.52 %-------------------------------------------
% 8.41/8.52 % Proof found
% 8.41/8.52 % SZS status Theorem for theBenchmark
% 8.41/8.52 % SZS output start Proof
% 8.41/8.52 %ClaNum:94(EqnAxiom:22)
% 8.41/8.52 %VarNum:365(SingletonVarNum:114)
% 8.41/8.52 %MaxLitNum:7
% 8.41/8.52 %MaxfuncDepth:3
% 8.41/8.52 %SharedTerms:33
% 8.41/8.52 %goalClause: 32 34 40 41
% 8.41/8.52 %singleGoalClaCount:4
% 8.41/8.52 [23]P1(a1)
% 8.41/8.52 [24]P1(a9)
% 8.41/8.52 [25]P1(a10)
% 8.41/8.52 [26]P1(a11)
% 8.41/8.52 [27]P1(a12)
% 8.41/8.52 [28]P1(a2)
% 8.41/8.52 [30]P2(a10,a11)
% 8.41/8.52 [38]~E(a1,a9)
% 8.41/8.52 [39]~E(a1,a10)
% 8.41/8.52 [29]E(f5(a10,a2),a11)
% 8.41/8.52 [32]P1(f6(a11,a10))
% 8.41/8.52 [34]E(f5(a10,f6(a11,a10)),a11)
% 8.41/8.52 [35]P1(f6(f5(a12,a11),a10))
% 8.41/8.52 [40]~E(f6(f5(a12,a11),a10),f5(a12,f6(a11,a10)))
% 8.41/8.52 [36]E(f5(a10,f6(f5(a12,a11),a10)),f5(a12,a11))
% 8.41/8.52 [37]E(f5(f5(a10,a12),f6(a11,a10)),f5(a10,f6(f5(a12,a11),a10)))
% 8.41/8.52 [41]~E(f5(a10,f5(a12,f6(a11,a10))),f5(a12,a11))
% 8.41/8.52 [48]~P1(x481)+P3(x481,x481)
% 8.41/8.52 [42]~P1(x421)+E(f5(a1,x421),a1)
% 8.41/8.52 [43]~P1(x431)+E(f5(x431,a1),a1)
% 8.41/8.52 [44]~P1(x441)+E(f7(a1,x441),x441)
% 8.41/8.52 [45]~P1(x451)+E(f5(a9,x451),x451)
% 8.41/8.52 [46]~P1(x461)+E(f7(x461,a1),x461)
% 8.41/8.52 [47]~P1(x471)+E(f5(x471,a9),x471)
% 8.41/8.52 [54]~P1(x542)+~P1(x541)+E(f7(x541,x542),f7(x542,x541))
% 8.41/8.52 [55]~P1(x552)+~P1(x551)+E(f5(x551,x552),f5(x552,x551))
% 8.41/8.52 [57]~P1(x572)+~P1(x571)+P1(f7(x571,x572))
% 8.41/8.52 [58]~P1(x582)+~P1(x581)+P1(f5(x581,x582))
% 8.41/8.52 [49]~P1(x491)+E(x491,a9)+P3(a9,x491)+E(x491,a1)
% 8.41/8.52 [50]~E(x502,x501)+~P1(x501)+~P1(x502)+P3(x501,x502)
% 8.41/8.52 [56]P3(x562,x561)+~P1(x561)+~P1(x562)+P3(x561,x562)
% 8.41/8.52 [51]~P1(x512)+~P1(x511)+E(x511,a1)+~E(f7(x512,x511),a1)
% 8.41/8.52 [52]~P1(x522)+~P1(x521)+E(x521,a1)+~E(f7(x521,x522),a1)
% 8.41/8.52 [61]~P1(x612)+~P1(x611)+P3(x612,f5(x612,x611))+E(x611,a1)
% 8.41/8.52 [67]~P1(x672)+~P1(x671)+~P3(x671,x672)+P1(f3(x671,x672))
% 8.41/8.52 [68]~P1(x682)+~P1(x681)+~P2(x681,x682)+P1(f4(x681,x682))
% 8.41/8.52 [75]~P1(x751)+~P1(x752)+~P2(x751,x752)+E(f5(x751,f4(x751,x752)),x752)
% 8.41/8.52 [76]~P1(x762)+~P1(x761)+~P3(x761,x762)+E(f7(x761,f3(x761,x762)),x762)
% 8.41/8.52 [85]~P1(x853)+~P1(x852)+~P1(x851)+E(f7(f7(x851,x852),x853),f7(x851,f7(x852,x853)))
% 8.41/8.52 [86]~P1(x863)+~P1(x862)+~P1(x861)+E(f5(f5(x861,x862),x863),f5(x861,f5(x862,x863)))
% 8.41/8.52 [93]~P1(x933)+~P1(x932)+~P1(x931)+E(f7(f5(x931,x932),f5(x931,x933)),f5(x931,f7(x932,x933)))
% 8.41/8.52 [94]~P1(x942)+~P1(x943)+~P1(x941)+E(f7(f5(x941,x942),f5(x943,x942)),f5(f7(x941,x943),x942))
% 8.41/8.52 [59]~P1(x591)+~P1(x592)+~P2(x592,x591)+P3(x592,x591)+E(x591,a1)
% 8.41/8.52 [60]P4(x601,x602)+~P1(x602)+~P1(x601)+~P3(x601,x602)+E(x601,x602)
% 8.41/8.52 [64]~P1(x642)+~P1(x641)+~P3(x642,x641)+~P3(x641,x642)+E(x641,x642)
% 8.41/8.52 [53]~P1(x531)+~P1(x532)+E(x531,a1)+E(x532,a1)+~E(f5(x532,x531),a1)
% 8.41/8.52 [62]~P1(x621)+~P1(x622)+~P1(x623)+P2(x621,x622)+~E(x622,f5(x621,x623))
% 8.41/8.52 [63]~P1(x632)+~P1(x631)+~P1(x633)+P3(x631,x632)+~E(f7(x631,x633),x632)
% 8.41/8.52 [65]~P1(x653)+~P1(x652)+~P3(x653,x652)+P1(x651)+~E(x651,f8(x652,x653))
% 8.41/8.52 [69]~P1(x692)+~P1(x691)+~P1(x693)+E(x691,x692)+~E(f7(x693,x691),f7(x693,x692))
% 8.41/8.52 [70]~P1(x702)+~P1(x703)+~P1(x701)+E(x701,x702)+~E(f7(x701,x703),f7(x702,x703))
% 8.41/8.52 [73]~P1(x733)+~P1(x731)+~P3(x731,x733)+~E(x732,f8(x733,x731))+E(f7(x731,x732),x733)
% 8.41/8.52 [77]~P1(x772)+~P1(x771)+~P3(x773,x772)+~P3(x771,x773)+P3(x771,x772)+~P1(x773)
% 8.41/8.52 [78]~P1(x782)+~P1(x781)+~P2(x783,x782)+~P2(x781,x783)+P2(x781,x782)+~P1(x783)
% 8.41/8.52 [66]~P1(x661)+~P1(x663)+~P2(x661,x663)+P1(x662)+E(x661,a1)+~E(x662,f6(x663,x661))
% 8.41/8.52 [71]~P1(x712)+~P1(x711)+~P1(x713)+E(x711,x712)+~E(f5(x713,x711),f5(x713,x712))+E(x713,a1)
% 8.41/8.52 [72]~P1(x722)+~P1(x723)+~P1(x721)+E(x721,x722)+~E(f5(x721,x723),f5(x722,x723))+E(x723,a1)
% 8.41/8.52 [74]~P1(x741)+~P1(x742)+~P2(x741,x742)+~E(x743,f6(x742,x741))+E(x741,a1)+E(x742,f5(x741,x743))
% 8.41/8.52 [79]~P1(x792)+~P1(x793)+~P1(x791)+~P3(x793,x792)+~E(f7(x793,x791),x792)+E(x791,f8(x792,x793))
% 8.41/8.52 [87]~P1(x873)+~P1(x872)+~P1(x871)+~P2(x871,x873)+~P2(x871,x872)+P2(x871,f7(x872,x873))
% 8.41/8.52 [88]~P1(x882)+~P1(x881)+~P1(x883)+~P3(x881,x882)+E(x881,x882)+P3(f7(x883,x881),f7(x883,x882))
% 8.41/8.52 [89]~P1(x892)+~P1(x893)+~P1(x891)+~P3(x891,x892)+E(x891,x892)+P3(f7(x891,x893),f7(x892,x893))
% 8.41/8.52 [92]~P1(x922)+~P1(x921)+~P2(x921,x923)+P2(x921,x922)+~P1(x923)+~P2(x921,f7(x923,x922))
% 8.41/8.52 [80]~P1(x801)+~P1(x803)+~P1(x802)+~P2(x801,x803)+~E(x803,f5(x801,x802))+E(x801,a1)+E(x802,f6(x803,x801))
% 8.41/8.52 [90]~P1(x902)+~P1(x901)+~P1(x903)+~P3(x901,x902)+E(x901,x902)+P3(f5(x903,x901),f5(x903,x902))+E(x903,a1)
% 8.41/8.52 [91]~P1(x912)+~P1(x913)+~P1(x911)+~P3(x911,x912)+E(x911,x912)+P3(f5(x911,x913),f5(x912,x913))+E(x913,a1)
% 8.41/8.52 %EqnAxiom
% 8.41/8.52 [1]E(x11,x11)
% 8.41/8.52 [2]E(x22,x21)+~E(x21,x22)
% 8.41/8.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.41/8.52 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 8.41/8.52 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 8.41/8.52 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 8.41/8.52 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 8.41/8.52 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83))
% 8.41/8.52 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92))
% 8.41/8.52 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103))
% 8.41/8.52 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112))
% 8.41/8.52 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 8.41/8.52 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 8.41/8.52 [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 8.41/8.52 [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 8.41/8.52 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 8.41/8.52 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 8.41/8.52 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 8.41/8.52 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 8.41/8.52 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 8.41/8.52 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 8.41/8.52 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 8.41/8.52
% 8.41/8.52 %-------------------------------------------
% 8.41/8.53 cnf(95,plain,
% 8.41/8.53 (E(a11,f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[29,2])).
% 8.41/8.53 cnf(96,plain,
% 8.41/8.53 (P2(a10,f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[30,29,2,18])).
% 8.41/8.53 cnf(97,plain,
% 8.41/8.53 (P1(f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[26,30,29,2,18,16])).
% 8.41/8.53 cnf(98,plain,
% 8.41/8.53 (P3(f6(a11,a10),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,26,30,29,2,18,16,56])).
% 8.41/8.53 cnf(100,plain,
% 8.41/8.53 (P3(a1,a1)),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48])).
% 8.41/8.53 cnf(102,plain,
% 8.41/8.53 (E(f5(f6(a11,a10),a9),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47])).
% 8.41/8.53 cnf(104,plain,
% 8.41/8.53 (E(f7(f6(a11,a10),a1),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46])).
% 8.41/8.53 cnf(106,plain,
% 8.41/8.53 (E(f5(a9,f6(a11,a10)),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45])).
% 8.41/8.53 cnf(108,plain,
% 8.41/8.53 (E(f7(a1,f6(a11,a10)),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44])).
% 8.41/8.53 cnf(110,plain,
% 8.41/8.53 (E(f5(f6(a11,a10),a1),a1)),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43])).
% 8.41/8.53 cnf(112,plain,
% 8.41/8.53 (E(f5(a1,f6(a11,a10)),a1)),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42])).
% 8.41/8.53 cnf(114,plain,
% 8.41/8.53 (E(f4(x1141,f5(a10,a2)),f4(x1141,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15])).
% 8.41/8.53 cnf(115,plain,
% 8.41/8.53 (E(f4(f5(a10,a2),x1151),f4(a11,x1151))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14])).
% 8.41/8.53 cnf(116,plain,
% 8.41/8.53 (E(f3(x1161,f5(a10,a2)),f3(x1161,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13])).
% 8.41/8.53 cnf(117,plain,
% 8.41/8.53 (E(f3(f5(a10,a2),x1171),f3(a11,x1171))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12])).
% 8.41/8.53 cnf(118,plain,
% 8.41/8.53 (E(f8(x1181,f5(a10,a2)),f8(x1181,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11])).
% 8.41/8.53 cnf(119,plain,
% 8.41/8.53 (E(f8(f5(a10,a2),x1191),f8(a11,x1191))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10])).
% 8.41/8.53 cnf(120,plain,
% 8.41/8.53 (E(f7(x1201,f5(a10,a2)),f7(x1201,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9])).
% 8.41/8.53 cnf(121,plain,
% 8.41/8.53 (E(f7(f5(a10,a2),x1211),f7(a11,x1211))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8])).
% 8.41/8.53 cnf(122,plain,
% 8.41/8.53 (E(f6(x1221,f5(a10,a2)),f6(x1221,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7])).
% 8.41/8.53 cnf(123,plain,
% 8.41/8.53 (E(f6(f5(a10,a2),x1231),f6(a11,x1231))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6])).
% 8.41/8.53 cnf(124,plain,
% 8.41/8.53 (E(f5(x1241,f5(a10,a2)),f5(x1241,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5])).
% 8.41/8.53 cnf(125,plain,
% 8.41/8.53 (E(f5(f5(a10,a2),x1251),f5(a11,x1251))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4])).
% 8.41/8.53 cnf(126,plain,
% 8.41/8.53 (~E(x1261,a9)+~E(a1,x1261)),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3])).
% 8.41/8.53 cnf(127,plain,
% 8.41/8.53 (P1(f5(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58])).
% 8.41/8.53 cnf(129,plain,
% 8.41/8.53 (P1(f7(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57])).
% 8.41/8.53 cnf(131,plain,
% 8.41/8.53 (P3(f5(a10,a2),a11)),
% 8.41/8.53 inference(scs_inference,[],[32,23,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50])).
% 8.41/8.53 cnf(133,plain,
% 8.41/8.53 (P1(f4(a10,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68])).
% 8.41/8.53 cnf(135,plain,
% 8.41/8.53 (P1(f3(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67])).
% 8.41/8.53 cnf(137,plain,
% 8.41/8.53 (E(f5(f5(f6(a11,a10),f6(a11,a10)),f6(a11,a10)),f5(f6(a11,a10),f5(f6(a11,a10),f6(a11,a10))))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86])).
% 8.41/8.53 cnf(139,plain,
% 8.41/8.53 (E(f7(f7(f6(a11,a10),f6(a11,a10)),f6(a11,a10)),f7(f6(a11,a10),f7(f6(a11,a10),f6(a11,a10))))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85])).
% 8.41/8.53 cnf(141,plain,
% 8.41/8.53 (E(f7(f6(a11,a10),f3(f6(a11,a10),f6(a11,a10))),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76])).
% 8.41/8.53 cnf(143,plain,
% 8.41/8.53 (E(f5(a10,f4(a10,a11)),a11)),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76,75])).
% 8.41/8.53 cnf(145,plain,
% 8.41/8.53 (E(f7(f5(a1,a1),f5(a1,a1)),f5(f7(a1,a1),a1))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76,75,94])).
% 8.41/8.53 cnf(147,plain,
% 8.41/8.53 (E(f7(f5(a1,a1),f5(a1,a1)),f5(a1,f7(a1,a1)))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76,75,94,93])).
% 8.41/8.53 cnf(149,plain,
% 8.41/8.53 (P1(f8(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[32,23,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76,75,94,93,65])).
% 8.41/8.53 cnf(157,plain,
% 8.41/8.53 (P2(a10,f7(a11,a11))),
% 8.41/8.53 inference(scs_inference,[],[32,23,24,25,26,30,38,29,2,18,16,56,48,47,46,45,44,43,42,15,14,13,12,11,10,9,8,7,6,5,4,3,58,57,50,68,67,86,85,76,75,94,93,65,70,69,73,87])).
% 8.41/8.53 cnf(176,plain,
% 8.41/8.53 (P1(f7(a12,a12))),
% 8.41/8.53 inference(scs_inference,[],[27,57])).
% 8.41/8.53 cnf(180,plain,
% 8.41/8.53 (~E(a10,a1)),
% 8.41/8.53 inference(scs_inference,[],[27,39,57,94,2])).
% 8.41/8.53 cnf(181,plain,
% 8.41/8.53 (P3(a11,a11)),
% 8.41/8.53 inference(scs_inference,[],[27,39,29,131,57,94,2,19])).
% 8.41/8.53 cnf(182,plain,
% 8.41/8.53 (E(f5(a10,f6(a11,a10)),f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,29,95,131,57,94,2,19,3])).
% 8.41/8.53 cnf(183,plain,
% 8.41/8.53 (P1(f5(a12,a12))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,29,95,131,57,94,2,19,3,58])).
% 8.41/8.53 cnf(185,plain,
% 8.41/8.53 (P3(a10,f5(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,29,95,131,57,94,2,19,3,58,61])).
% 8.41/8.53 cnf(187,plain,
% 8.41/8.53 (~E(f7(a10,a10),a1)),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,29,95,131,57,94,2,19,3,58,61,51])).
% 8.41/8.53 cnf(189,plain,
% 8.41/8.53 (P1(f3(a11,a11))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,95,131,57,94,2,19,3,58,61,51,67])).
% 8.41/8.53 cnf(195,plain,
% 8.41/8.53 (E(f7(a11,f3(a11,a11)),a11)),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,95,131,57,94,2,19,3,58,61,51,67,86,85,76])).
% 8.41/8.53 cnf(199,plain,
% 8.41/8.53 (P1(f8(a11,f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65])).
% 8.41/8.53 cnf(200,plain,
% 8.41/8.53 (E(f8(x2001,f5(a10,a2)),f8(x2001,a11))),
% 8.41/8.53 inference(rename_variables,[],[118])).
% 8.41/8.53 cnf(202,plain,
% 8.41/8.53 (E(f7(a11,f8(a11,f5(a10,a2))),a11)),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,200,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73])).
% 8.41/8.53 cnf(203,plain,
% 8.41/8.53 (E(f8(x2031,f5(a10,a2)),f8(x2031,a11))),
% 8.41/8.53 inference(rename_variables,[],[118])).
% 8.41/8.53 cnf(205,plain,
% 8.41/8.53 (P3(f5(a10,a2),f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,200,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73,20])).
% 8.41/8.53 cnf(206,plain,
% 8.41/8.53 (P1(f8(f5(a10,a2),a11))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,200,203,149,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73,20,16])).
% 8.41/8.53 cnf(210,plain,
% 8.41/8.53 (~E(f5(a10,a10),a1)),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,200,203,149,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73,20,16,49,53])).
% 8.41/8.53 cnf(212,plain,
% 8.41/8.53 (P3(a11,f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[27,39,34,25,26,29,118,200,203,149,97,95,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73,20,16,49,53,50])).
% 8.41/8.53 cnf(225,plain,
% 8.41/8.53 (~E(f5(a10,a10),f5(a10,a1))),
% 8.41/8.53 inference(scs_inference,[],[32,27,39,34,25,30,26,23,29,139,129,118,200,203,122,149,97,95,96,131,57,94,2,19,3,58,61,51,67,86,85,76,93,65,73,20,16,49,53,50,63,78,92,66,72,71])).
% 8.41/8.53 cnf(236,plain,
% 8.41/8.53 (P3(a1,f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,108,180,32,52,63])).
% 8.41/8.53 cnf(238,plain,
% 8.41/8.53 (E(f7(f5(a2,a2),f5(a2,a2)),f5(f7(a2,a2),a2))),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,108,180,32,52,63,94])).
% 8.41/8.53 cnf(240,plain,
% 8.41/8.53 (P1(f3(a1,a1))),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,108,100,180,32,52,63,94,67])).
% 8.41/8.53 cnf(244,plain,
% 8.41/8.53 (E(f7(a1,f3(a1,a1)),a1)),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,108,100,180,32,52,63,94,67,85,76])).
% 8.41/8.53 cnf(252,plain,
% 8.41/8.53 (P3(a2,f5(a2,a10))),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,26,108,114,115,119,100,181,180,32,52,63,94,67,85,76,73,3,61])).
% 8.41/8.53 cnf(254,plain,
% 8.41/8.53 (E(f7(f5(a2,a2),f5(a2,a2)),f5(a2,f7(a2,a2)))),
% 8.41/8.53 inference(scs_inference,[],[28,23,25,26,108,114,115,119,100,181,180,32,52,63,94,67,85,76,73,3,61,93])).
% 8.41/8.53 cnf(261,plain,
% 8.41/8.53 (P1(f7(f6(a11,a10),f3(f6(a11,a10),f6(a11,a10))))),
% 8.41/8.53 inference(scs_inference,[],[34,28,30,23,25,26,141,108,114,115,119,100,181,180,32,52,63,94,67,85,76,73,3,61,93,86,2,91,66])).
% 8.41/8.53 cnf(263,plain,
% 8.41/8.53 (E(a1,f8(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[34,28,30,23,25,26,98,141,104,108,114,115,119,100,181,180,32,52,63,94,67,85,76,73,3,61,93,86,2,91,66,79])).
% 8.41/8.53 cnf(265,plain,
% 8.41/8.53 (P2(a10,f5(a10,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[34,28,30,23,25,26,98,141,104,108,114,115,119,100,181,180,32,52,63,94,67,85,76,73,3,61,93,86,2,91,66,79,18])).
% 8.41/8.53 cnf(279,plain,
% 8.41/8.53 (E(f6(a11,a10),a2)),
% 8.41/8.53 inference(scs_inference,[],[28,25,182,263,180,32,126,71])).
% 8.41/8.53 cnf(285,plain,
% 8.41/8.53 (P1(f5(f6(a11,a10),a9))),
% 8.41/8.53 inference(scs_inference,[],[30,28,26,25,102,182,189,263,195,181,180,32,126,71,79,74,66])).
% 8.41/8.53 cnf(287,plain,
% 8.41/8.53 (E(f3(a1,a1),a1)),
% 8.41/8.53 inference(scs_inference,[],[30,28,26,23,25,102,182,189,240,263,195,244,181,180,32,126,71,79,74,66,51])).
% 8.41/8.53 cnf(293,plain,
% 8.41/8.53 (~E(f5(a12,f6(a11,a10)),f6(f5(a12,a11),a10))),
% 8.41/8.53 inference(scs_inference,[],[40,39,30,28,26,23,25,102,182,189,240,263,195,244,212,181,118,97,180,32,126,71,79,74,66,51,73,3,2])).
% 8.41/8.53 cnf(302,plain,
% 8.41/8.53 (P2(x3021,a11)+~E(a10,x3021)),
% 8.41/8.53 inference(scs_inference,[],[40,39,35,30,28,26,23,25,102,182,189,240,263,236,195,244,187,212,181,118,97,180,32,126,71,79,74,66,51,73,3,2,62,90,64,92,17])).
% 8.41/8.53 cnf(310,plain,
% 8.41/8.53 (P1(f4(a10,f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[96,95,30,28,26,25,97,180,80,68])).
% 8.41/8.53 cnf(314,plain,
% 8.41/8.53 (P1(f5(a9,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[96,95,30,28,26,25,106,97,180,80,68,74,66])).
% 8.41/8.53 cnf(316,plain,
% 8.41/8.53 (E(f5(f5(a10,a12),f6(a11,a10)),f5(a12,a11))),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,95,30,28,26,25,106,97,180,80,68,74,66,3])).
% 8.41/8.53 cnf(318,plain,
% 8.41/8.53 (~P3(a1,a10)+P4(a1,a10)),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,30,28,23,26,25,106,97,180,80,68,74,66,3,2,60])).
% 8.41/8.53 cnf(320,plain,
% 8.41/8.53 (E(f5(a10,f4(a10,f5(a10,a2))),f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,30,28,23,26,25,106,97,180,80,68,74,66,3,2,60,75])).
% 8.41/8.53 cnf(322,plain,
% 8.41/8.53 (~E(f5(a10,a1),f5(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,30,28,23,26,25,106,97,180,80,68,74,66,3,2,60,75,71])).
% 8.41/8.53 cnf(324,plain,
% 8.41/8.53 (E(f5(a9,a9),a9)),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,24,30,28,23,26,25,106,97,180,80,68,74,66,3,2,60,75,71,47])).
% 8.41/8.53 cnf(328,plain,
% 8.41/8.53 (E(f7(a1,a9),a9)),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,24,27,30,28,23,26,25,106,97,180,80,68,74,66,3,2,60,75,71,47,45,44])).
% 8.41/8.53 cnf(336,plain,
% 8.41/8.53 (~E(a1,f5(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[36,37,96,39,95,24,27,30,28,23,26,25,106,185,252,97,180,80,68,74,66,3,2,60,75,71,47,45,44,42,89,90,126])).
% 8.41/8.53 cnf(343,plain,
% 8.41/8.53 (P3(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10))),
% 8.41/8.53 inference(scs_inference,[],[35,48])).
% 8.41/8.53 cnf(345,plain,
% 8.41/8.53 (E(f7(f6(f5(a12,a11),a10),a1),f6(f5(a12,a11),a10))),
% 8.41/8.53 inference(scs_inference,[],[35,48,46])).
% 8.41/8.53 cnf(347,plain,
% 8.41/8.53 (E(f5(f6(f5(a12,a11),a10),a1),a1)),
% 8.41/8.53 inference(scs_inference,[],[35,48,46,43])).
% 8.41/8.53 cnf(350,plain,
% 8.41/8.53 (E(f3(a11,x3501),f3(f5(a10,a2),x3501))),
% 8.41/8.53 inference(scs_inference,[],[95,35,48,46,43,15,12])).
% 8.41/8.53 cnf(351,plain,
% 8.41/8.53 (E(f8(x3511,a11),f8(x3511,f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[95,35,48,46,43,15,12,11])).
% 8.41/8.53 cnf(352,plain,
% 8.41/8.53 (E(a11,f5(a10,f6(f5(a10,a2),a10)))),
% 8.41/8.53 inference(scs_inference,[],[95,35,30,26,25,123,180,48,46,43,15,12,11,74])).
% 8.41/8.53 cnf(357,plain,
% 8.41/8.53 (~E(f5(a10,f5(a12,f6(a11,a10))),f5(f5(a10,a12),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[41,95,35,30,26,25,316,123,180,48,46,43,15,12,11,74,51,3])).
% 8.41/8.53 cnf(372,plain,
% 8.41/8.53 (E(f8(a11,x3721),f8(f5(a10,a2),x3721))),
% 8.41/8.53 inference(scs_inference,[],[95,4,14,13,10])).
% 8.41/8.53 cnf(374,plain,
% 8.41/8.53 (E(f6(a11,x3741),f6(f5(a10,a2),x3741))),
% 8.41/8.53 inference(scs_inference,[],[95,4,14,13,10,7,6])).
% 8.41/8.53 cnf(375,plain,
% 8.41/8.53 (E(f7(x3751,a11),f7(x3751,f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[95,4,14,13,10,7,6,9])).
% 8.41/8.53 cnf(376,plain,
% 8.41/8.53 (E(f7(a11,x3761),f7(f5(a10,a2),x3761))),
% 8.41/8.53 inference(scs_inference,[],[95,4,14,13,10,7,6,9,8])).
% 8.41/8.53 cnf(377,plain,
% 8.41/8.53 (E(f5(x3771,a11),f5(x3771,f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[95,4,14,13,10,7,6,9,8,5])).
% 8.41/8.53 cnf(378,plain,
% 8.41/8.53 (P2(a10,f7(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[96,95,97,25,4,14,13,10,7,6,9,8,5,87])).
% 8.41/8.53 cnf(382,plain,
% 8.41/8.53 (~P3(a1,a10)+P3(f5(a10,a1),f5(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[37,39,96,95,97,23,25,293,345,180,4,14,13,10,7,6,9,8,5,87,3,2,90])).
% 8.41/8.53 cnf(384,plain,
% 8.41/8.53 (P1(f7(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[37,39,96,95,97,23,25,293,345,180,4,14,13,10,7,6,9,8,5,87,3,2,90,57])).
% 8.41/8.53 cnf(386,plain,
% 8.41/8.53 (P1(f8(a11,a11))),
% 8.41/8.53 inference(scs_inference,[],[37,39,96,95,97,23,26,25,293,345,351,131,180,4,14,13,10,7,6,9,8,5,87,3,2,90,57,65])).
% 8.41/8.53 cnf(389,plain,
% 8.41/8.53 (~E(a1,f7(a1,a9))),
% 8.41/8.53 inference(scs_inference,[],[37,39,96,95,97,23,26,25,293,345,351,328,131,180,4,14,13,10,7,6,9,8,5,87,3,2,90,57,65,126])).
% 8.41/8.53 cnf(405,plain,
% 8.41/8.53 (P1(f7(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[24,57])).
% 8.41/8.53 cnf(408,plain,
% 8.41/8.53 (E(f6(a11,x4081),f6(f5(a10,a2),x4081))),
% 8.41/8.53 inference(rename_variables,[],[374])).
% 8.41/8.53 cnf(411,plain,
% 8.41/8.53 (P1(f5(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[24,374,378,121,98,57,20,18,58])).
% 8.41/8.53 cnf(413,plain,
% 8.41/8.53 (P2(a10,f7(f7(f5(a10,a2),f5(a10,a2)),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[96,24,97,25,384,374,378,121,98,57,20,18,58,87])).
% 8.41/8.53 cnf(415,plain,
% 8.41/8.53 (P1(f3(f5(a10,a2),a11))),
% 8.41/8.53 inference(scs_inference,[],[96,24,97,25,384,350,374,378,121,98,189,57,20,18,58,87,16])).
% 8.41/8.53 cnf(419,plain,
% 8.41/8.53 (E(f3(a1,a1),f8(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[96,24,97,25,384,287,350,374,408,378,121,98,189,263,57,20,18,58,87,16,19,3])).
% 8.41/8.53 cnf(420,plain,
% 8.41/8.53 (~E(a9,a1)),
% 8.41/8.53 inference(scs_inference,[],[38,96,24,97,25,384,287,350,374,408,378,121,98,189,263,57,20,18,58,87,16,19,3,2])).
% 8.41/8.53 cnf(423,plain,
% 8.41/8.53 (~E(f7(a9,a9),a1)),
% 8.41/8.53 inference(scs_inference,[],[38,96,24,97,23,25,384,287,350,374,408,378,121,98,189,236,263,32,57,20,18,58,87,16,19,3,2,64,51])).
% 8.41/8.53 cnf(437,plain,
% 8.41/8.53 (~E(f5(a9,a9),f5(a1,a9))),
% 8.41/8.53 inference(scs_inference,[],[23,24,405,423,420,52,72])).
% 8.41/8.53 cnf(439,plain,
% 8.41/8.53 (P1(f3(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[23,24,97,405,423,420,205,52,72,67])).
% 8.41/8.53 cnf(443,plain,
% 8.41/8.53 (E(f7(f5(a10,a2),f3(f5(a10,a2),f5(a10,a2))),f5(a10,a2))),
% 8.41/8.53 inference(scs_inference,[],[23,24,97,405,423,420,205,52,72,67,85,76])).
% 8.41/8.53 cnf(445,plain,
% 8.41/8.53 (P3(a12,a12)),
% 8.41/8.53 inference(scs_inference,[],[23,27,24,97,405,423,420,205,52,72,67,85,76,48])).
% 8.41/8.53 cnf(449,plain,
% 8.41/8.53 (P3(a9,f5(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[23,39,27,24,97,25,405,423,420,205,52,72,67,85,76,48,71,61])).
% 8.41/8.53 cnf(457,plain,
% 8.41/8.53 (P3(f6(a11,a10),a2)),
% 8.41/8.53 inference(scs_inference,[],[23,98,39,27,24,97,25,405,423,279,420,205,52,72,67,85,76,48,71,61,94,86,93,20])).
% 8.41/8.53 cnf(460,plain,
% 8.41/8.53 (P1(f8(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[23,98,39,27,24,97,25,405,423,279,420,205,263,52,72,67,85,76,48,71,61,94,86,93,20,51,16])).
% 8.41/8.53 cnf(461,plain,
% 8.41/8.53 (E(f3(f5(a10,a2),f5(a10,a2)),f3(a11,a11))),
% 8.41/8.53 inference(scs_inference,[],[23,98,39,27,24,97,25,116,117,405,423,279,420,205,263,52,72,67,85,76,48,71,61,94,86,93,20,51,16,3])).
% 8.41/8.53 cnf(471,plain,
% 8.41/8.53 (E(a1,f8(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10)))),
% 8.41/8.53 inference(scs_inference,[],[23,98,39,96,27,35,24,97,25,137,116,117,405,423,279,420,205,343,345,263,180,52,72,67,85,76,48,71,61,94,86,93,20,51,16,3,2,47,45,80,79])).
% 8.41/8.53 cnf(494,plain,
% 8.41/8.53 (P3(f6(a11,a10),f7(f6(a11,a10),f3(f6(a11,a10),f6(a11,a10))))),
% 8.41/8.53 inference(scs_inference,[],[261,141,32,50])).
% 8.41/8.53 cnf(498,plain,
% 8.41/8.53 (E(f7(f7(f5(a10,a2),f5(a10,a2)),f5(a10,a2)),f7(f5(a10,a2),f7(f5(a10,a2),f5(a10,a2))))),
% 8.41/8.53 inference(scs_inference,[],[97,261,141,32,50,86,85])).
% 8.41/8.53 cnf(504,plain,
% 8.41/8.53 (P1(f3(a12,a12))),
% 8.41/8.53 inference(scs_inference,[],[27,97,26,261,445,141,32,50,86,85,76,94,67])).
% 8.41/8.53 cnf(510,plain,
% 8.41/8.53 (E(f7(f6(a11,a10),f3(a1,a1)),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[23,98,27,97,26,261,445,419,141,423,405,32,50,86,85,76,94,67,71,61,73])).
% 8.41/8.53 cnf(516,plain,
% 8.41/8.53 (~E(f8(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10)),a9)),
% 8.41/8.53 inference(scs_inference,[],[23,98,38,27,97,26,261,445,376,471,419,157,141,423,405,32,50,86,85,76,94,67,71,61,73,93,18,3])).
% 8.41/8.53 cnf(542,plain,
% 8.41/8.53 (E(f3(f7(f6(a11,a10),f3(a1,a1)),x5421),f3(f6(a11,a10),x5421))),
% 8.41/8.53 inference(scs_inference,[],[510,15,12])).
% 8.41/8.53 cnf(543,plain,
% 8.41/8.53 (E(f8(x5431,f7(f6(a11,a10),f3(a1,a1))),f8(x5431,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[510,15,12,11])).
% 8.41/8.53 cnf(544,plain,
% 8.41/8.53 (P3(f3(a11,a11),f3(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[510,461,439,189,15,12,11,50])).
% 8.41/8.53 cnf(546,plain,
% 8.41/8.53 (E(f6(a11,a10),f8(f6(a11,a10),a1))),
% 8.41/8.53 inference(scs_inference,[],[510,461,439,108,236,189,32,23,15,12,11,50,79])).
% 8.41/8.53 cnf(551,plain,
% 8.41/8.53 (E(f7(a9,f3(a9,f5(a9,a9))),f5(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[24,97,26,510,461,439,449,372,108,411,212,236,189,32,23,15,12,11,50,79,73,76])).
% 8.41/8.53 cnf(553,plain,
% 8.41/8.53 (P1(f3(a9,f5(a9,a9)))),
% 8.41/8.53 inference(scs_inference,[],[24,97,26,510,461,439,449,372,108,411,212,236,189,32,23,15,12,11,50,79,73,76,67])).
% 8.41/8.53 cnf(565,plain,
% 8.41/8.53 (E(f7(f6(a11,a10),f3(a1,a1)),f6(f5(a10,a2),a10))),
% 8.41/8.53 inference(scs_inference,[],[24,38,97,26,25,510,461,439,449,372,108,374,411,212,236,189,420,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3])).
% 8.41/8.53 cnf(567,plain,
% 8.41/8.53 (E(f5(a1,f7(a1,a1)),f7(f5(a1,a1),f5(a1,a1)))),
% 8.41/8.53 inference(scs_inference,[],[24,38,97,26,25,147,510,461,439,449,372,108,374,411,212,236,189,420,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3,2])).
% 8.41/8.53 cnf(568,plain,
% 8.41/8.53 (~P3(a1,a9)+P3(f7(a1,a9),f7(a9,a9))),
% 8.41/8.53 inference(scs_inference,[],[24,38,97,26,25,147,510,461,439,449,372,108,374,411,212,236,189,420,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3,2,89])).
% 8.41/8.53 cnf(580,plain,
% 8.41/8.53 (E(f5(f7(f6(a11,a10),f3(a1,a1)),x5801),f5(f6(a11,a10),x5801))),
% 8.41/8.53 inference(scs_inference,[],[24,39,98,38,97,26,25,147,510,461,439,449,372,108,374,411,212,236,189,420,423,405,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3,2,89,53,65,72,61,88,4])).
% 8.41/8.53 cnf(585,plain,
% 8.41/8.53 (E(f5(x5851,f7(f6(a11,a10),f3(a1,a1))),f5(x5851,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[24,39,98,38,28,97,26,25,147,510,461,439,449,372,108,374,411,212,236,189,420,423,405,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3,2,89,53,65,72,61,88,4,52,62,5])).
% 8.41/8.53 cnf(586,plain,
% 8.41/8.53 (P3(a9,a9)),
% 8.41/8.53 inference(scs_inference,[],[24,39,98,38,28,97,26,25,147,510,461,439,449,372,108,374,411,212,236,189,420,423,405,32,23,15,12,11,50,79,73,76,67,86,85,94,93,71,3,2,89,53,65,72,61,88,4,52,62,5,56])).
% 8.41/8.53 cnf(598,plain,
% 8.41/8.53 (E(f4(f5(a10,f4(a10,a11)),x5981),f4(a11,x5981))),
% 8.41/8.53 inference(scs_inference,[],[143,14])).
% 8.41/8.53 cnf(600,plain,
% 8.41/8.53 (E(f8(f5(a10,f4(a10,a11)),x6001),f8(a11,x6001))),
% 8.41/8.53 inference(scs_inference,[],[143,14,13,10])).
% 8.41/8.53 cnf(601,plain,
% 8.41/8.53 (E(f6(x6011,f5(a10,f4(a10,a11))),f6(x6011,a11))),
% 8.41/8.53 inference(scs_inference,[],[143,14,13,10,7])).
% 8.41/8.53 cnf(603,plain,
% 8.41/8.53 (P3(a2,a2)),
% 8.41/8.53 inference(scs_inference,[],[28,143,14,13,10,7,6,48])).
% 8.41/8.53 cnf(613,plain,
% 8.41/8.53 (~E(f5(a9,a9),a1)),
% 8.41/8.53 inference(scs_inference,[],[28,97,25,580,585,143,320,336,310,372,205,180,14,13,10,7,6,48,73,71,3,2])).
% 8.41/8.53 cnf(614,plain,
% 8.41/8.53 (~P3(a1,a10)+~P3(a10,a1)),
% 8.41/8.53 inference(scs_inference,[],[39,28,97,25,580,585,143,320,336,310,372,205,180,23,14,13,10,7,6,48,73,71,3,2,64])).
% 8.41/8.53 cnf(646,plain,
% 8.41/8.53 (P1(f7(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,57])).
% 8.41/8.53 cnf(648,plain,
% 8.41/8.53 (P1(f8(a2,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.53 inference(scs_inference,[],[25,28,543,457,32,57,65])).
% 8.41/8.53 cnf(655,plain,
% 8.41/8.53 (~E(f8(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10)),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,98,39,28,97,26,543,600,546,457,471,131,32,57,65,19,73,3])).
% 8.41/8.53 cnf(656,plain,
% 8.41/8.53 (E(f6(a11,a10),f5(f6(a11,a10),a9))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,600,546,457,471,131,32,57,65,19,73,3,2])).
% 8.41/8.53 cnf(657,plain,
% 8.41/8.53 (E(f5(a9,a10),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,600,546,457,471,131,32,57,65,19,73,3,2,45])).
% 8.41/8.53 cnf(659,plain,
% 8.41/8.53 (E(f7(a1,a10),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,600,546,457,471,131,32,57,65,19,73,3,2,45,44])).
% 8.41/8.53 cnf(661,plain,
% 8.41/8.53 (E(f5(a1,a10),a1)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,600,546,457,471,131,32,57,65,19,73,3,2,45,44,42])).
% 8.41/8.53 cnf(665,plain,
% 8.41/8.53 (E(f5(a10,a9),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,439,471,131,189,180,32,57,65,19,73,3,2,45,44,42,90,47])).
% 8.41/8.53 cnf(667,plain,
% 8.41/8.53 (P3(a1,a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,439,471,131,189,180,32,23,57,65,19,73,3,2,45,44,42,90,47,63])).
% 8.41/8.53 cnf(671,plain,
% 8.41/8.53 (P2(f6(a11,a10),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,439,471,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62])).
% 8.41/8.53 cnf(673,plain,
% 8.41/8.53 (P2(f8(f6(a11,a10),a1),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,439,471,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17])).
% 8.41/8.53 cnf(674,plain,
% 8.41/8.53 (E(f3(f5(a10,a2),f5(a10,a2)),f8(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79])).
% 8.41/8.53 cnf(676,plain,
% 8.41/8.53 (~P3(a10,a1)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614])).
% 8.41/8.53 cnf(677,plain,
% 8.41/8.53 (P3(f5(a10,a1),f5(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382])).
% 8.41/8.53 cnf(678,plain,
% 8.41/8.53 (P4(a1,a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382,318])).
% 8.41/8.53 cnf(679,plain,
% 8.41/8.53 (P4(a1,x6791)+~E(a10,x6791)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382,318,22])).
% 8.41/8.53 cnf(680,plain,
% 8.41/8.53 (P4(f8(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10)),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382,318,22,21])).
% 8.41/8.53 cnf(681,plain,
% 8.41/8.53 (P3(f7(a1,a10),f7(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,28,97,26,543,544,600,546,457,443,439,471,205,131,189,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382,318,22,21,89])).
% 8.41/8.53 cnf(689,plain,
% 8.41/8.53 (P1(f5(a10,a10))),
% 8.41/8.53 inference(scs_inference,[],[25,102,98,39,27,28,97,26,543,544,600,546,457,443,613,439,471,205,131,189,411,180,32,24,23,57,65,19,73,3,2,45,44,42,90,47,63,91,62,17,79,614,382,318,22,21,89,75,88,53,58])).
% 8.41/8.53 cnf(704,plain,
% 8.41/8.53 (P1(f4(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[671,32,68])).
% 8.41/8.53 cnf(708,plain,
% 8.41/8.53 (~P3(a10,f5(a1,a10))),
% 8.41/8.53 inference(scs_inference,[],[35,676,671,661,32,68,58,20])).
% 8.41/8.53 cnf(709,plain,
% 8.41/8.53 (P2(f5(f6(a11,a10),a9),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[35,676,671,656,661,32,68,58,20,17])).
% 8.41/8.53 cnf(710,plain,
% 8.41/8.53 (P3(f5(f6(a11,a10),a9),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[98,35,676,671,656,661,32,68,58,20,17,19])).
% 8.41/8.53 cnf(712,plain,
% 8.41/8.53 (~E(f7(a1,a9),a1)),
% 8.41/8.53 inference(scs_inference,[],[98,35,676,567,145,671,389,656,661,32,68,58,20,17,19,3,2])).
% 8.41/8.53 cnf(715,plain,
% 8.41/8.53 (E(f7(a10,a1),a10)),
% 8.41/8.53 inference(scs_inference,[],[25,98,35,676,689,567,145,671,389,677,656,661,322,32,68,58,20,17,19,3,2,64,46])).
% 8.41/8.53 cnf(719,plain,
% 8.41/8.53 (P1(f7(f6(a11,a10),f3(a1,a1)))),
% 8.41/8.53 inference(scs_inference,[],[25,98,96,35,97,676,689,567,145,565,671,389,677,656,661,322,180,32,68,58,20,17,19,3,2,64,46,43,66])).
% 8.41/8.53 cnf(723,plain,
% 8.41/8.53 (P2(f6(a11,a10),f7(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[25,98,96,35,97,676,689,567,145,565,671,389,677,656,661,210,322,180,32,68,58,20,17,19,3,2,64,46,43,66,53,87])).
% 8.41/8.53 cnf(749,plain,
% 8.41/8.53 (~E(f7(f7(a10,a10),f7(a10,a10)),f7(a1,f7(a10,a10)))),
% 8.41/8.53 inference(scs_inference,[],[646,187,23,70])).
% 8.41/8.53 cnf(751,plain,
% 8.41/8.53 (~E(f7(f7(a10,a10),a11),a1)),
% 8.41/8.53 inference(scs_inference,[],[26,646,187,23,70,52])).
% 8.41/8.53 cnf(753,plain,
% 8.41/8.53 (P1(f4(f5(f6(a11,a10),a9),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,709,646,285,187,32,23,70,52,68])).
% 8.41/8.53 cnf(754,plain,
% 8.41/8.53 (~P1(x7541)+P1(f4(x7541,x7542))+~P2(x7541,x7542)+~P1(x7542)),
% 8.41/8.53 inference(rename_variables,[],[68])).
% 8.41/8.53 cnf(755,plain,
% 8.41/8.53 (P1(f7(f6(a11,a10),a1))),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,709,646,285,187,180,32,23,25,70,52,68,66])).
% 8.41/8.53 cnf(757,plain,
% 8.41/8.53 (P3(a10,a10)),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,709,715,646,285,187,180,32,23,25,70,52,68,66,63])).
% 8.41/8.53 cnf(759,plain,
% 8.41/8.53 (P2(f8(f6(a11,a10),a1),a2)),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,673,709,715,646,285,279,187,180,32,23,25,70,52,68,66,63,18])).
% 8.41/8.53 cnf(760,plain,
% 8.41/8.53 (P3(f3(a11,a11),f8(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,674,673,709,715,646,285,279,544,187,180,32,23,25,70,52,68,66,63,18,20])).
% 8.41/8.53 cnf(761,plain,
% 8.41/8.53 (P1(f5(a10,f6(f5(a10,a2),a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,674,673,709,715,352,646,285,279,544,187,180,32,23,25,70,52,68,66,63,18,20,16])).
% 8.41/8.53 cnf(765,plain,
% 8.41/8.53 (~P3(f7(a10,a1),f5(a1,a10))),
% 8.41/8.53 inference(scs_inference,[],[26,104,30,97,674,673,709,715,708,352,646,285,279,544,351,187,205,180,32,23,25,70,52,68,66,63,18,20,16,73,19])).
% 8.41/8.53 cnf(768,plain,
% 8.41/8.53 (E(f6(a11,a10),f7(f6(a11,a10),a1))),
% 8.41/8.53 inference(scs_inference,[],[26,104,102,30,97,674,673,709,715,708,352,646,285,279,544,580,351,187,205,180,32,23,25,70,52,68,66,63,18,20,16,73,19,3,2])).
% 8.41/8.53 cnf(775,plain,
% 8.41/8.53 (~E(f7(f7(a10,a10),f7(a10,a10)),a1)),
% 8.41/8.53 inference(scs_inference,[],[26,104,102,30,97,674,673,709,715,708,352,646,285,279,544,580,351,187,384,378,205,180,32,23,25,70,52,68,66,63,18,20,16,73,19,3,2,754,74,87,51])).
% 8.41/8.53 cnf(787,plain,
% 8.41/8.53 (P1(f7(a11,a11))),
% 8.41/8.53 inference(scs_inference,[],[26,678,646,263,187,423,405,23,70,69,21,57])).
% 8.41/8.53 cnf(789,plain,
% 8.41/8.53 (E(f5(a10,a2),f5(a10,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.53 inference(scs_inference,[],[26,96,97,678,565,646,263,187,423,405,180,23,25,70,69,21,57,74])).
% 8.41/8.53 cnf(793,plain,
% 8.41/8.53 (~E(f7(f5(a10,a10),f5(a10,a10)),a1)),
% 8.41/8.53 inference(scs_inference,[],[26,96,97,678,565,676,210,646,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51])).
% 8.41/8.53 cnf(795,plain,
% 8.41/8.53 (P2(f7(f6(a11,a10),a1),f7(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,96,97,723,768,678,565,676,210,646,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51,17])).
% 8.41/8.53 cnf(797,plain,
% 8.41/8.53 (~E(a9,f8(a1,a1))),
% 8.41/8.53 inference(scs_inference,[],[26,100,96,97,723,768,678,565,712,676,210,646,471,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51,17,20,73])).
% 8.41/8.53 cnf(799,plain,
% 8.41/8.53 (P1(f8(a2,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,100,96,97,723,768,678,648,543,565,712,676,210,646,471,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51,17,20,73,16])).
% 8.41/8.53 cnf(801,plain,
% 8.41/8.53 (P3(f7(f6(a11,a10),a1),f6(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[26,100,98,96,97,723,768,678,648,543,565,712,676,210,646,471,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51,17,20,73,16,19])).
% 8.41/8.53 cnf(802,plain,
% 8.41/8.53 (~E(f7(f7(a10,a10),f7(a10,a10)),f5(f6(f5(a12,a11),a10),a1))),
% 8.41/8.53 inference(scs_inference,[],[26,100,98,96,97,723,768,678,775,347,648,543,565,712,676,210,646,471,689,263,187,423,405,180,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3])).
% 8.41/8.53 cnf(807,plain,
% 8.41/8.53 (E(f5(x8071,f5(f6(a11,a10),a9)),f5(x8071,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,100,102,98,96,97,723,768,678,749,775,347,648,543,565,712,676,129,210,646,471,689,263,187,423,405,180,32,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5])).
% 8.41/8.53 cnf(808,plain,
% 8.41/8.53 (P3(f7(a11,a1),f7(a11,a10))),
% 8.41/8.53 inference(scs_inference,[],[26,100,102,98,39,96,97,723,768,678,749,775,347,667,648,543,565,712,676,129,210,646,471,689,263,187,423,405,180,32,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5,88])).
% 8.41/8.53 cnf(812,plain,
% 8.41/8.53 (E(f8(x8121,f5(f6(a11,a10),a9)),f8(x8121,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,100,102,98,39,96,97,723,768,678,749,775,347,667,648,543,565,712,676,129,210,646,471,689,263,187,423,405,180,32,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5,88,14,12,11])).
% 8.41/8.53 cnf(813,plain,
% 8.41/8.53 (P3(f4(f6(a11,a10),f6(a11,a10)),f4(f5(f6(a11,a10),a9),f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[26,100,102,98,39,96,97,723,753,768,678,749,775,347,667,648,704,543,565,712,676,129,210,646,471,689,263,187,423,405,180,32,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5,88,14,12,11,50])).
% 8.41/8.53 cnf(818,plain,
% 8.41/8.53 (E(f7(f7(a11,a11),a11),f7(a11,f7(a11,a11)))),
% 8.41/8.53 inference(scs_inference,[],[26,100,102,98,39,96,97,723,753,768,678,749,775,347,667,648,704,543,565,712,676,129,210,646,471,689,263,187,423,405,180,32,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5,88,14,12,11,50,8,86,85])).
% 8.41/8.53 cnf(833,plain,
% 8.41/8.53 (P2(f6(a11,a10),a11)+~P3(a1,a9)+P3(f5(a11,a1),f5(a11,a9))+E(a11,a1)),
% 8.41/8.53 inference(scs_inference,[],[26,37,100,102,98,38,39,96,28,97,723,760,753,768,678,749,775,347,667,648,719,704,120,543,565,712,676,129,149,613,210,646,471,689,263,187,189,423,411,405,180,32,24,23,25,70,69,21,57,74,63,51,17,20,73,16,19,3,2,4,92,5,88,14,12,11,50,8,86,85,52,61,87,71,18,64,22,90])).
% 8.41/8.53 cnf(848,plain,
% 8.41/8.53 (E(f8(f5(a9,f6(a11,a10)),x8481),f8(f6(a11,a10),x8481))),
% 8.41/8.53 inference(scs_inference,[],[27,106,39,667,23,25,89,13,10])).
% 8.41/8.53 cnf(849,plain,
% 8.41/8.53 (E(f6(x8491,f5(a9,f6(a11,a10))),f6(x8491,f6(a11,a10)))),
% 8.41/8.53 inference(scs_inference,[],[27,106,39,667,23,25,89,13,10,7])).
% 8.41/8.53 cnf(850,plain,
% 8.41/8.54 (E(f6(f5(a9,f6(a11,a10)),x8501),f6(f6(a11,a10),x8501))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,667,23,25,89,13,10,7,6])).
% 8.41/8.54 cnf(859,plain,
% 8.41/8.54 (P3(f6(a11,a10),f5(a9,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,787,813,801,755,314,667,704,753,32,23,25,89,13,10,7,6,76,67,86,85,50])).
% 8.41/8.54 cnf(865,plain,
% 8.41/8.54 (E(f7(f5(a9,f6(a11,a10)),x8651),f7(f6(a11,a10),x8651))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,35,787,813,801,755,314,667,704,753,210,689,32,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8])).
% 8.41/8.54 cnf(870,plain,
% 8.41/8.54 (P3(f7(f5(a10,a2),a1),f7(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,35,787,813,801,498,755,757,808,413,314,667,704,753,708,376,613,210,689,411,32,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8,71,18,20,19])).
% 8.41/8.54 cnf(872,plain,
% 8.41/8.54 (E(f5(a9,f6(a11,a10)),f7(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,35,787,813,801,498,755,757,808,413,314,667,704,768,753,708,376,613,210,689,411,32,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8,71,18,20,19,3])).
% 8.41/8.54 cnf(873,plain,
% 8.41/8.54 (E(f6(a11,a10),f5(a9,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[27,106,39,35,787,813,801,498,755,757,808,413,314,667,704,768,753,708,376,613,210,689,411,32,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8,71,18,20,19,3,2])).
% 8.41/8.54 cnf(889,plain,
% 8.41/8.54 (P1(f5(a10,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.54 inference(scs_inference,[],[27,106,98,38,39,35,97,787,813,812,801,498,755,789,757,808,413,314,494,667,704,768,261,753,708,376,613,210,689,411,32,24,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8,71,18,20,19,3,2,70,42,47,45,44,64,65,16])).
% 8.41/8.54 cnf(900,plain,
% 8.41/8.54 (~P1(f5(a10,f6(a11,a10)))+E(a2,f6(f5(a10,f6(a11,a10)),a10))),
% 8.41/8.54 inference(scs_inference,[],[27,106,98,38,39,35,28,97,787,813,812,801,498,755,793,789,797,757,808,265,413,314,494,667,704,182,768,261,753,708,376,613,210,689,411,180,32,24,23,25,89,13,10,7,6,76,67,86,85,50,61,57,8,71,18,20,19,3,2,70,42,47,45,44,64,65,16,69,90,75,92,59,80])).
% 8.41/8.54 cnf(906,plain,
% 8.41/8.54 (E(f7(a2,f3(a2,a2)),a2)),
% 8.41/8.54 inference(scs_inference,[],[28,795,603,504,755,129,68,85,76])).
% 8.41/8.54 cnf(914,plain,
% 8.41/8.54 (P2(f8(f6(a11,a10),a1),f5(a9,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[96,35,28,97,795,873,603,504,673,755,157,787,343,129,25,68,85,76,67,86,87,18])).
% 8.41/8.54 cnf(918,plain,
% 8.41/8.54 (P1(f5(a10,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[98,96,35,28,97,795,848,873,889,603,504,585,673,755,157,787,343,129,32,25,68,85,76,67,86,87,18,73,16])).
% 8.41/8.54 cnf(921,plain,
% 8.41/8.54 (~P3(f5(a9,a10),a1)),
% 8.41/8.54 inference(scs_inference,[],[98,96,35,28,97,795,848,873,889,859,872,603,504,657,585,673,755,157,787,343,676,129,32,25,68,85,76,67,86,87,18,73,16,20,19])).
% 8.41/8.54 cnf(922,plain,
% 8.41/8.54 (E(f7(f5(a9,f6(a11,a10)),a1),f6(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[104,98,96,35,28,97,795,865,848,873,889,859,872,603,504,657,585,673,755,157,787,343,676,129,32,25,68,85,76,67,86,87,18,73,16,20,19,3])).
% 8.41/8.54 cnf(924,plain,
% 8.41/8.54 (~E(f5(f6(f5(a12,a11),a10),a1),f7(f7(a10,a10),f7(a10,a10)))),
% 8.41/8.54 inference(scs_inference,[],[104,98,96,35,28,97,802,795,865,848,873,889,859,872,603,504,657,585,673,755,157,787,343,676,129,32,25,68,85,76,67,86,87,18,73,16,20,19,3,2])).
% 8.41/8.54 cnf(925,plain,
% 8.41/8.54 (E(a2,f6(f5(a10,f6(a11,a10)),a10))),
% 8.41/8.54 inference(scs_inference,[],[104,98,96,35,28,97,802,795,865,848,873,889,859,872,603,504,657,585,673,755,157,787,343,676,129,32,25,68,85,76,67,86,87,18,73,16,20,19,3,2,900])).
% 8.41/8.54 cnf(928,plain,
% 8.41/8.54 (E(f5(a12,a1),a1)),
% 8.41/8.54 inference(scs_inference,[],[27,104,98,96,35,28,97,802,795,865,848,873,889,859,872,603,504,657,585,673,755,157,787,343,676,129,32,25,68,85,76,67,86,87,18,73,16,20,19,3,2,900,46,43])).
% 8.41/8.54 cnf(957,plain,
% 8.41/8.54 (P1(f3(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[28,97,603,131,646,187,26,53,76,67])).
% 8.41/8.54 cnf(965,plain,
% 8.41/8.54 (E(f6(a11,a10),f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[28,108,39,97,924,925,870,347,603,376,131,210,689,646,187,26,23,25,53,76,67,71,20,19,3,2])).
% 8.41/8.54 cnf(994,plain,
% 8.41/8.54 (E(a11,f5(a10,f7(a1,f6(a11,a10))))),
% 8.41/8.54 inference(scs_inference,[],[28,108,39,30,667,613,411,180,26,23,25,88,72,74])).
% 8.41/8.54 cnf(996,plain,
% 8.41/8.54 (P1(f5(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[28,108,39,30,667,613,411,180,26,23,25,88,72,74,58])).
% 8.41/8.54 cnf(1001,plain,
% 8.41/8.54 (~E(f5(f5(a10,a10),f5(a10,a10)),f5(f5(a10,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[28,108,98,39,30,848,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71])).
% 8.41/8.54 cnf(1004,plain,
% 8.41/8.54 (~E(a1,f5(a9,a10))),
% 8.41/8.54 inference(scs_inference,[],[28,108,100,98,39,30,928,848,921,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71,20,19])).
% 8.41/8.54 cnf(1005,plain,
% 8.41/8.54 (E(f7(f6(a11,a10),a1),f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[28,108,100,104,98,39,30,965,928,848,921,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71,20,19,3])).
% 8.41/8.54 cnf(1006,plain,
% 8.41/8.54 (~E(a10,f8(f6(f5(a12,a11),a10),f6(f5(a12,a11),a10)))),
% 8.41/8.54 inference(scs_inference,[],[28,108,100,104,98,39,30,965,655,928,848,921,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71,20,19,3,2])).
% 8.41/8.54 cnf(1008,plain,
% 8.41/8.54 (E(f3(f7(a1,f6(a11,a10)),x10081),f3(f6(a11,a10),x10081))),
% 8.41/8.54 inference(scs_inference,[],[28,108,100,104,98,39,30,965,655,928,848,921,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71,20,19,3,2,4,12])).
% 8.41/8.54 cnf(1009,plain,
% 8.41/8.54 (E(f8(x10091,f7(a1,f6(a11,a10))),f8(x10091,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[28,108,100,104,98,39,30,965,655,928,848,921,667,613,210,689,411,180,32,26,23,25,88,72,74,58,65,71,20,19,3,2,4,12,11])).
% 8.41/8.54 cnf(1041,plain,
% 8.41/8.54 (P2(a10,f5(a10,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.54 inference(scs_inference,[],[110,889,585,723,129,32,25,5,14,68,62])).
% 8.41/8.54 cnf(1044,plain,
% 8.41/8.54 (P1(f7(f5(a2,a2),f5(a2,a2)))),
% 8.41/8.54 inference(scs_inference,[],[110,996,889,585,723,129,32,25,5,14,68,62,57])).
% 8.41/8.54 cnf(1046,plain,
% 8.41/8.54 (P3(f5(a9,f6(a11,a10)),f6(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[110,996,922,889,314,585,723,129,32,23,25,5,14,68,62,57,63])).
% 8.41/8.54 cnf(1049,plain,
% 8.41/8.54 (~P3(f7(a1,a10),f5(a1,a10))),
% 8.41/8.54 inference(scs_inference,[],[110,996,922,659,889,314,585,921,723,708,129,32,23,25,5,14,68,62,57,63,20,19])).
% 8.41/8.54 cnf(1050,plain,
% 8.41/8.54 (~E(f7(f7(a10,a10),a11),f5(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[110,996,922,751,659,889,314,585,921,723,708,129,32,23,25,5,14,68,62,57,63,20,19,3])).
% 8.41/8.54 cnf(1051,plain,
% 8.41/8.54 (E(a1,f5(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[110,996,922,751,659,889,314,585,921,723,708,129,32,23,25,5,14,68,62,57,63,20,19,3,2])).
% 8.41/8.54 cnf(1054,plain,
% 8.41/8.54 (E(f7(a1,f6(f5(a12,a11),a10)),f6(f5(a12,a11),a10))),
% 8.41/8.54 inference(scs_inference,[],[110,35,996,922,751,659,889,314,585,921,723,708,129,32,23,25,5,14,68,62,57,63,20,19,3,2,42,44])).
% 8.41/8.54 cnf(1060,plain,
% 8.41/8.54 (P3(f5(a2,a2),f5(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[110,35,97,996,922,751,659,889,314,585,921,723,708,129,32,23,25,5,14,68,62,57,63,20,19,3,2,42,44,47,45,56])).
% 8.41/8.54 cnf(1064,plain,
% 8.41/8.54 (~E(f7(f6(f5(a12,a11),a10),f5(a9,a9)),a1)),
% 8.41/8.54 inference(scs_inference,[],[110,35,97,996,922,751,659,889,314,585,921,723,708,129,613,411,32,23,25,5,14,68,62,57,63,20,19,3,2,42,44,47,45,56,53,51])).
% 8.41/8.54 cnf(1080,plain,
% 8.41/8.54 (P4(f5(f6(a11,a10),a1),a10)),
% 8.41/8.54 inference(scs_inference,[],[110,1051,678,13,10,7,6,21])).
% 8.41/8.54 cnf(1081,plain,
% 8.41/8.54 (P3(f6(a11,a10),f5(f6(a11,a10),a9))),
% 8.41/8.54 inference(scs_inference,[],[110,102,1051,678,285,32,13,10,7,6,21,50])).
% 8.41/8.54 cnf(1090,plain,
% 8.41/8.54 (P3(f7(a1,f6(a11,a10)),f6(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[110,100,102,35,1005,1046,1051,859,678,801,314,285,676,32,23,25,13,10,7,6,21,50,77,65,63,20,19])).
% 8.41/8.54 cnf(1093,plain,
% 8.41/8.54 (E(f7(f5(a10,a2),a1),f5(a10,a2))),
% 8.41/8.54 inference(scs_inference,[],[110,100,102,39,35,97,1001,1005,1046,1051,859,678,801,314,285,676,32,23,25,13,10,7,6,21,50,77,65,63,20,19,3,2,46])).
% 8.41/8.54 cnf(1099,plain,
% 8.41/8.54 (~E(a1,f5(a10,a10))),
% 8.41/8.54 inference(scs_inference,[],[110,100,102,39,35,97,1001,1005,1046,1051,760,859,678,801,149,314,285,676,189,32,23,25,13,10,7,6,21,50,77,65,63,20,19,3,2,46,43,64,5])).
% 8.41/8.54 cnf(1108,plain,
% 8.41/8.54 (~E(f7(f7(a9,a9),f6(f5(a12,a11),a10)),a1)),
% 8.41/8.54 inference(scs_inference,[],[35,423,405,52])).
% 8.41/8.54 cnf(1111,plain,
% 8.41/8.54 (~E(f7(a10,a10),f5(a1,a10))),
% 8.41/8.54 inference(scs_inference,[],[112,35,1049,681,423,405,52,5,20])).
% 8.41/8.54 cnf(1114,plain,
% 8.41/8.54 (E(a1,f5(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[112,35,1049,1081,681,965,1051,423,405,52,5,20,19,3,2])).
% 8.41/8.54 cnf(1119,plain,
% 8.41/8.54 (P3(f5(a9,a9),f5(f5(a9,a9),f5(a9,a9)))),
% 8.41/8.54 inference(scs_inference,[],[112,35,849,1049,1081,681,965,1051,671,423,613,405,411,32,52,5,20,19,3,2,15,66,61])).
% 8.41/8.54 cnf(1121,plain,
% 8.41/8.54 (P2(a9,f6(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[112,35,849,1049,1081,681,965,873,1051,671,423,613,405,411,24,32,52,5,20,19,3,2,15,66,61,62])).
% 8.41/8.54 cnf(1123,plain,
% 8.41/8.54 (E(a2,f7(f6(a11,a10),f3(a1,a1)))),
% 8.41/8.54 inference(scs_inference,[],[112,35,849,1049,1081,681,965,873,789,719,1051,671,423,613,405,411,180,28,24,32,25,52,5,20,19,3,2,15,66,61,62,71])).
% 8.41/8.54 cnf(1139,plain,
% 8.41/8.54 (P1(f4(a9,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[1121,24,32,68])).
% 8.41/8.54 cnf(1141,plain,
% 8.41/8.54 (E(f5(f5(f5(a12,a12),f5(a12,a12)),f5(a12,a12)),f5(f5(a12,a12),f5(f5(a12,a12),f5(a12,a12))))),
% 8.41/8.54 inference(scs_inference,[],[1121,183,24,32,68,86])).
% 8.41/8.54 cnf(1143,plain,
% 8.41/8.54 (P1(f5(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[97,1121,183,24,32,68,86,58])).
% 8.41/8.54 cnf(1145,plain,
% 8.41/8.54 (E(f7(f7(f5(a12,a12),f5(a12,a12)),f5(a12,a12)),f7(f5(a12,a12),f7(f5(a12,a12),f5(a12,a12))))),
% 8.41/8.54 inference(scs_inference,[],[97,1121,183,24,32,68,86,58,85])).
% 8.41/8.54 cnf(1148,plain,
% 8.41/8.54 (P1(f5(f7(a2,a2),a2))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1121,183,24,32,68,86,58,85,8,16])).
% 8.41/8.54 cnf(1150,plain,
% 8.41/8.54 (~P3(f5(a9,a10),f5(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1121,183,873,921,24,32,68,86,58,85,8,16,18,20])).
% 8.41/8.54 cnf(1152,plain,
% 8.41/8.54 (~E(f7(f6(f5(a12,a11),a10),f5(a9,a9)),f5(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1121,1064,183,873,1049,921,24,32,68,86,58,85,8,16,18,20,19,3])).
% 8.41/8.54 cnf(1156,plain,
% 8.41/8.54 (P3(f7(f5(a2,a2),f5(a2,a2)),f7(f5(a2,a2),f5(a2,a2)))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1111,1121,1064,183,873,1049,921,646,24,32,68,86,58,85,8,16,18,20,19,3,2,70,48])).
% 8.41/8.54 cnf(1158,plain,
% 8.41/8.54 (E(f5(f5(a1,f6(a11,a10)),x11581),f5(a1,x11581))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1111,1121,1064,183,873,1049,921,646,24,32,68,86,58,85,8,16,18,20,19,3,2,70,48,4])).
% 8.41/8.54 cnf(1159,plain,
% 8.41/8.54 (E(f8(x11591,f5(a1,f6(a11,a10))),f8(x11591,a1))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1111,1121,1064,183,873,1049,921,646,24,32,68,86,58,85,8,16,18,20,19,3,2,70,48,4,11])).
% 8.41/8.54 cnf(1160,plain,
% 8.41/8.54 (E(f7(x11601,f5(a1,f6(a11,a10))),f7(x11601,a1))),
% 8.41/8.54 inference(scs_inference,[],[112,97,1044,238,1111,1121,1064,183,873,1049,921,646,24,32,68,86,58,85,8,16,18,20,19,3,2,70,48,4,11,9])).
% 8.41/8.54 cnf(1166,plain,
% 8.41/8.54 (P1(f8(f6(a11,a10),f7(a1,f6(a11,a10))))),
% 8.41/8.54 inference(scs_inference,[],[112,98,97,1044,238,1111,1009,850,1121,1064,183,873,1049,921,646,420,24,32,68,86,58,85,8,16,18,20,19,3,2,70,48,4,11,9,66,75,65])).
% 8.41/8.54 cnf(1186,plain,
% 8.41/8.54 (P1(f3(f5(a2,a2),f5(a2,a2)))),
% 8.41/8.54 inference(scs_inference,[],[35,114,38,1060,133,996,423,405,24,23,70,12,61,86,67])).
% 8.41/8.54 cnf(1188,plain,
% 8.41/8.54 (E(f7(f5(a2,a2),f3(f5(a2,a2),f5(a2,a2))),f5(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[35,114,38,1060,133,996,423,405,24,23,70,12,61,86,67,76])).
% 8.41/8.54 cnf(1196,plain,
% 8.41/8.54 (P1(f5(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[35,114,38,1060,1148,1143,124,133,996,423,646,187,405,24,23,70,12,61,86,67,76,85,58,71,16])).
% 8.41/8.54 cnf(1199,plain,
% 8.41/8.54 (P3(f5(a2,f7(a2,a2)),f7(f5(a2,a2),f5(a2,a2)))),
% 8.41/8.54 inference(scs_inference,[],[35,114,100,38,1060,1156,254,1148,1143,1114,124,133,996,423,646,187,405,24,23,70,12,61,86,67,76,85,58,71,16,20,19])).
% 8.41/8.54 cnf(1206,plain,
% 8.41/8.54 (E(f7(a1,f5(a10,a2)),f5(a10,a2))),
% 8.41/8.54 inference(scs_inference,[],[35,114,100,38,97,1060,1141,1156,254,1148,1143,1114,124,133,996,423,646,187,405,24,23,70,12,61,86,67,76,85,58,71,16,20,19,3,2,42,47,44])).
% 8.41/8.54 cnf(1212,plain,
% 8.41/8.54 (E(a10,f8(a10,a1))),
% 8.41/8.54 inference(scs_inference,[],[35,114,100,38,97,1060,1141,1156,254,1148,1143,1114,124,133,659,996,667,708,423,646,187,405,24,23,25,70,12,61,86,67,76,85,58,71,16,20,19,3,2,42,47,44,45,50,79])).
% 8.41/8.54 cnf(1231,plain,
% 8.41/8.54 (P4(a1,f8(a10,a1))),
% 8.41/8.54 inference(scs_inference,[],[1212,679])).
% 8.41/8.54 cnf(1235,plain,
% 8.41/8.54 (E(f6(a11,a10),f6(f6(a11,a10),a9))),
% 8.41/8.54 inference(scs_inference,[],[114,39,1212,873,1121,667,420,24,32,23,25,679,89,14,80])).
% 8.41/8.54 cnf(1238,plain,
% 8.41/8.54 (E(f3(f5(a2,a2),f5(a2,a2)),f8(f5(a2,a2),f5(a2,a2)))),
% 8.41/8.54 inference(scs_inference,[],[114,39,1186,1188,1212,1060,1114,678,873,1121,996,667,420,24,32,23,25,679,89,14,80,21,79])).
% 8.41/8.54 cnf(1242,plain,
% 8.41/8.54 (E(f7(a9,f3(a9,a9)),a9)),
% 8.41/8.54 inference(scs_inference,[],[114,39,1186,1188,1212,586,176,1060,1114,678,873,1121,996,667,420,24,32,23,25,679,89,14,80,21,79,86,76])).
% 8.41/8.54 cnf(1244,plain,
% 8.41/8.54 (P1(f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[114,108,39,1186,1188,1212,586,176,1060,1114,678,873,1121,996,667,420,30,180,26,24,32,23,25,679,89,14,80,21,79,86,76,66])).
% 8.41/8.54 cnf(1251,plain,
% 8.41/8.54 (~P3(f5(a9,a10),f5(a1,f5(f6(a11,a10),a9)))),
% 8.41/8.54 inference(scs_inference,[],[114,108,39,1186,1188,807,1150,1123,1212,586,176,1156,759,1060,1114,678,1044,873,1121,996,667,646,187,420,30,180,26,24,32,23,25,679,89,14,80,21,79,86,76,66,67,71,18,20])).
% 8.41/8.54 cnf(1257,plain,
% 8.41/8.54 (~E(f5(a9,a10),a1)),
% 8.41/8.54 inference(scs_inference,[],[114,108,39,1186,1188,1119,1004,807,598,1150,1123,1212,586,176,324,1156,759,1060,1114,678,1044,873,1121,996,667,646,187,420,30,180,26,24,32,23,25,679,89,14,80,21,79,86,76,66,67,71,18,20,19,3,2])).
% 8.41/8.54 cnf(1262,plain,
% 8.41/8.54 (~E(a1,f7(a9,f3(a9,a9)))),
% 8.41/8.54 inference(scs_inference,[],[114,108,39,1186,1188,1119,1004,807,598,1150,1123,1212,586,176,324,1156,759,1060,1114,678,1044,873,1121,996,667,646,187,420,30,180,26,24,32,23,25,679,89,14,80,21,79,86,76,66,67,71,18,20,19,3,2,46,43,126])).
% 8.41/8.54 cnf(1266,plain,
% 8.41/8.54 (P2(f8(a10,a1),f5(a10,a2))),
% 8.41/8.54 inference(scs_inference,[],[114,108,39,96,97,1186,1188,1119,1004,807,598,1150,1123,1080,1212,586,176,324,1156,759,1060,1114,678,1044,873,1121,996,667,646,187,420,30,180,26,24,32,23,25,679,89,14,80,21,79,86,76,66,67,71,18,20,19,3,2,46,43,126,52,22,17])).
% 8.41/8.54 cnf(1287,plain,
% 8.41/8.54 (E(f3(a2,a2),f8(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[906,1244,957,603,28,57,79])).
% 8.41/8.54 cnf(1289,plain,
% 8.41/8.54 (P1(f3(f7(a1,f6(a11,a10)),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[1090,906,1244,957,603,28,32,57,79,67])).
% 8.41/8.54 cnf(1291,plain,
% 8.41/8.54 (E(f7(f7(a1,f6(a11,a10)),f3(f7(a1,f6(a11,a10)),f6(a11,a10))),f6(a11,a10))),
% 8.41/8.54 inference(scs_inference,[],[1090,906,1244,957,603,28,32,57,79,67,76])).
% 8.41/8.54 cnf(1296,plain,
% 8.41/8.54 (~E(f7(f7(a9,a9),f6(f5(a12,a11),a10)),f5(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[110,98,1090,906,1235,1244,1108,1160,957,765,603,28,32,57,79,67,76,20,19,3])).
% 8.41/8.54 cnf(1298,plain,
% 8.41/8.54 (~E(f7(f7(a9,a9),f7(a9,a9)),f7(f7(a9,a9),a1))),
% 8.41/8.54 inference(scs_inference,[],[110,98,1238,1090,906,1235,1244,1108,1160,957,765,603,423,405,28,32,23,57,79,67,76,20,19,3,2,69])).
% 8.41/8.54 cnf(1318,plain,
% 8.41/8.54 (P3(f7(a1,f6(a11,a10)),f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[115,110,98,39,97,1238,1099,1090,906,1235,1244,1108,1160,957,516,760,765,603,149,667,189,423,405,180,28,32,23,25,57,79,67,76,20,19,3,2,69,70,89,53,88,91,15,49,7,68,74,50])).
% 8.41/8.54 cnf(1322,plain,
% 8.41/8.54 (P2(f5(f6(a11,a10),a9),f7(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[709,285,32,87])).
% 8.41/8.54 cnf(1336,plain,
% 8.41/8.54 (P3(f6(a11,a10),f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[108,100,97,1199,1318,1159,1006,1196,238,889,789,709,285,343,35,32,23,25,87,57,50,58,65,79,20,19])).
% 8.41/8.54 cnf(1341,plain,
% 8.41/8.54 (P3(f3(f7(a1,f6(a11,a10)),f6(a11,a10)),f3(f7(a1,f6(a11,a10)),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[108,100,39,97,1199,1298,1289,1318,1159,1006,1196,238,889,789,709,1114,285,343,613,411,35,32,23,25,87,57,50,58,65,79,20,19,3,2,91,48])).
% 8.41/8.54 cnf(1343,plain,
% 8.41/8.54 (~E(a1,f7(a9,a9))),
% 8.41/8.54 inference(scs_inference,[],[108,100,39,97,1199,1298,1289,1318,1159,1006,1196,238,889,789,709,1114,285,343,613,411,35,32,23,25,87,57,50,58,65,79,20,19,3,2,91,48,9])).
% 8.41/8.54 cnf(1348,plain,
% 8.41/8.54 (E(a11,f5(a10,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.54 inference(scs_inference,[],[108,100,39,97,1199,1298,1289,1318,1159,1006,1196,918,238,265,889,789,709,1114,285,510,343,613,423,411,405,30,180,35,26,32,23,25,87,57,50,58,65,79,20,19,3,2,91,48,9,53,68,74])).
% 8.41/8.54 cnf(1351,plain,
% 8.41/8.54 (P2(f8(a10,a1),f5(a10,f7(f6(a11,a10),f3(a1,a1))))),
% 8.41/8.54 inference(scs_inference,[],[115,108,100,39,97,1199,1298,1289,1318,1159,1006,1041,1196,918,238,265,889,789,709,1114,285,1212,510,343,613,423,411,405,30,180,35,26,32,23,25,87,57,50,58,65,79,20,19,3,2,91,48,9,53,68,74,5,17])).
% 8.41/8.54 cnf(1356,plain,
% 8.41/8.54 (~P3(a1,a9)+P3(f7(f5(a10,a2),a1),f7(f5(a10,a2),a9))),
% 8.41/8.54 inference(scs_inference,[],[115,108,100,38,39,97,1199,1298,1289,1318,1159,1006,1041,1196,918,238,265,1111,889,789,709,1114,285,1212,510,343,613,187,423,646,411,405,30,180,35,26,24,32,23,25,87,57,50,58,65,79,20,19,3,2,91,48,9,53,68,74,5,17,69,90,88])).
% 8.41/8.54 cnf(1370,plain,
% 8.41/8.54 (P2(f6(a11,a10),a1)),
% 8.41/8.54 inference(scs_inference,[],[39,1051,667,210,689,32,23,25,90,62])).
% 8.41/8.54 cnf(1373,plain,
% 8.41/8.54 (P3(f3(f5(a10,a2),a11),f3(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[116,39,415,1051,439,667,210,689,32,23,25,90,62,9,50])).
% 8.41/8.54 cnf(1374,plain,
% 8.41/8.54 (E(f3(x13741,f5(a10,a2)),f3(x13741,a11))),
% 8.41/8.54 inference(rename_variables,[],[116])).
% 8.41/8.54 cnf(1386,plain,
% 8.41/8.54 (P2(f8(a10,a1),a11)),
% 8.41/8.54 inference(scs_inference,[],[116,1374,98,39,1145,542,1251,1231,1158,1139,415,1235,1051,1114,439,1212,667,210,689,32,23,25,90,62,9,50,21,58,20,19,3,2,302])).
% 8.41/8.54 cnf(1416,plain,
% 8.41/8.54 (P1(f8(f7(a1,f6(a11,a10)),f7(a1,f6(a11,a10))))),
% 8.41/8.54 inference(scs_inference,[],[116,96,97,1336,1009,1041,889,1244,32,25,87,8,65])).
% 8.41/8.54 cnf(1419,plain,
% 8.41/8.54 (P3(f3(f5(a10,a2),a11),f3(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[116,96,97,1373,1336,1009,1041,889,1244,32,25,87,8,65,20])).
% 8.41/8.54 cnf(1420,plain,
% 8.41/8.54 (E(f3(x14201,f5(a10,a2)),f3(x14201,a11))),
% 8.41/8.54 inference(rename_variables,[],[116])).
% 8.41/8.54 cnf(1421,plain,
% 8.41/8.54 (~P3(f5(a10,a9),f5(a1,a10))),
% 8.41/8.54 inference(scs_inference,[],[116,96,97,1373,1336,665,1009,1041,889,1244,708,32,25,87,8,65,20,19])).
% 8.41/8.54 cnf(1423,plain,
% 8.41/8.54 (E(f3(x14231,f5(a10,a2)),f3(x14231,a11))),
% 8.41/8.54 inference(rename_variables,[],[116])).
% 8.41/8.54 cnf(1434,plain,
% 8.41/8.54 (~P3(a1,a9)+~P1(f5(a9,a10))+P3(f5(f5(a9,a10),a1),f5(f5(a9,a10),a9))),
% 8.41/8.54 inference(scs_inference,[],[116,1420,1423,114,96,38,97,1373,1008,1296,1257,1336,665,460,1009,1041,677,322,889,1244,708,689,24,32,23,25,87,8,65,20,19,3,2,46,43,88,14,9,90])).
% 8.41/8.54 cnf(1438,plain,
% 8.41/8.54 (P3(f8(f6(a11,a10),f6(a11,a10)),f8(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[116,1420,1423,114,96,38,97,1373,1008,1296,1257,1336,665,460,1009,1041,677,322,889,1244,708,689,24,32,23,25,87,8,65,20,19,3,2,46,43,88,14,9,90,49,56])).
% 8.41/8.54 cnf(1444,plain,
% 8.41/8.54 (E(f8(f3(f5(a10,a2),x14441),x14442),f8(f3(a11,x14441),x14442))),
% 8.41/8.54 inference(scs_inference,[],[117,10])).
% 8.41/8.54 cnf(1446,plain,
% 8.41/8.54 (E(f7(f7(f7(a12,a12),f7(a12,a12)),f7(a12,a12)),f7(f7(a12,a12),f7(f7(a12,a12),f7(a12,a12))))),
% 8.41/8.54 inference(scs_inference,[],[117,176,10,6,85])).
% 8.41/8.54 cnf(1448,plain,
% 8.41/8.54 (P1(f4(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[117,1370,176,32,23,10,6,85,68])).
% 8.41/8.54 cnf(1450,plain,
% 8.41/8.54 (P1(f8(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[117,1287,1370,176,957,32,23,10,6,85,68,16])).
% 8.41/8.54 cnf(1453,plain,
% 8.41/8.54 (P3(f3(f7(a1,f6(a11,a10)),f6(a11,a10)),f3(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[117,1341,1351,1287,1370,1008,176,957,585,32,23,10,6,85,68,16,18,20])).
% 8.41/8.54 cnf(1455,plain,
% 8.41/8.54 (P3(f3(a11,a11),f3(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[117,1341,1419,1351,1287,1370,1008,176,957,585,32,23,10,6,85,68,16,18,20,19])).
% 8.41/8.54 cnf(1492,plain,
% 8.41/8.54 (P1(f8(f7(a1,f6(a11,a10)),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[1416,1450,1009,85,86,16])).
% 8.41/8.54 cnf(1496,plain,
% 8.41/8.54 (P3(f3(f6(a11,a10),f6(a11,a10)),f3(f6(a11,a10),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[1453,1416,1421,1450,1158,1008,1009,85,86,16,20,19])).
% 8.41/8.54 cnf(1498,plain,
% 8.41/8.54 (E(f5(a9,f6(a11,a10)),f7(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[106,1453,1416,1421,1450,1158,965,1008,1009,85,86,16,20,19,3])).
% 8.41/8.54 cnf(1502,plain,
% 8.41/8.54 (P3(f4(f6(a11,a10),a1),f4(f6(a11,a10),a1))),
% 8.41/8.54 inference(scs_inference,[],[106,1453,1416,1448,1421,1152,1450,437,1158,965,1008,1009,411,85,86,16,20,19,3,2,70,48])).
% 8.41/8.54 cnf(1504,plain,
% 8.41/8.54 (E(f8(x15041,f3(f5(a10,a2),x15042)),f8(x15041,f3(a11,x15042)))),
% 8.41/8.54 inference(scs_inference,[],[117,106,1453,1416,1448,1421,1152,1450,437,1158,965,1008,1009,411,85,86,16,20,19,3,2,70,48,11])).
% 8.41/8.54 cnf(1507,plain,
% 8.41/8.54 (P3(f8(a2,a2),f3(a2,a2))),
% 8.41/8.54 inference(scs_inference,[],[117,106,1453,1416,1448,1421,1152,1450,437,1287,1158,965,1008,1009,957,411,85,86,16,20,19,3,2,70,48,11,15,7,50])).
% 8.41/8.54 cnf(1509,plain,
% 8.41/8.54 (E(f3(f7(a1,f6(a11,a10)),f6(a11,a10)),f8(f6(a11,a10),f7(a1,f6(a11,a10))))),
% 8.41/8.54 inference(scs_inference,[],[117,106,1453,1416,1291,1448,1421,1152,1450,437,1287,1158,965,1008,1009,1090,1289,957,1244,411,32,85,86,16,20,19,3,2,70,48,11,15,7,50,79])).
% 8.41/8.54 cnf(1532,plain,
% 8.41/8.54 (P3(f8(a11,a11),f8(a11,f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[118,1438,1507,199,386,1450,460,957,67,85,76,86,50])).
% 8.41/8.54 cnf(1533,plain,
% 8.41/8.54 (E(f8(x15331,f5(a10,a2)),f8(x15331,a11))),
% 8.41/8.54 inference(rename_variables,[],[118])).
% 8.41/8.54 cnf(1537,plain,
% 8.41/8.54 (E(f8(x15371,f5(a10,a2)),f8(x15371,a11))),
% 8.41/8.54 inference(rename_variables,[],[118])).
% 8.41/8.54 cnf(1538,plain,
% 8.41/8.54 (~P3(f5(a9,a10),f5(a1,a10))),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1438,1498,1507,914,199,657,386,760,1450,460,957,708,67,85,76,86,50,18,20,19])).
% 8.41/8.54 cnf(1547,plain,
% 8.41/8.54 (~E(f7(a1,f5(a10,a2)),f7(f7(a9,a9),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1444,1498,1507,914,127,199,657,386,760,1450,460,957,708,405,23,67,85,76,86,50,18,20,19,3,2,42,47,70])).
% 8.41/8.54 cnf(1555,plain,
% 8.41/8.54 (~P3(a9,a1)),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1444,1498,1507,914,127,199,225,657,386,760,1450,460,957,708,210,420,689,405,180,24,25,23,67,85,76,86,50,18,20,19,3,2,42,47,70,72,45,44,91])).
% 8.41/8.54 cnf(1559,plain,
% 8.41/8.54 (P2(f5(a10,a2),f5(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1444,1054,1498,1507,914,377,127,199,225,657,1196,386,760,1450,460,957,708,210,420,689,405,180,35,24,25,23,67,85,76,86,50,18,20,19,3,2,42,47,70,72,45,44,91,63,62])).
% 8.41/8.54 cnf(1562,plain,
% 8.41/8.54 (P3(a1,a9)),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1444,1054,1498,1507,914,377,127,199,225,657,1196,386,760,1450,460,957,708,210,420,689,405,180,35,24,25,23,67,85,76,86,50,18,20,19,3,2,42,47,70,72,45,44,91,63,62,56])).
% 8.41/8.54 cnf(1565,plain,
% 8.41/8.54 (E(a1,f8(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1444,1093,1054,1498,1507,914,377,127,199,225,680,657,1196,386,760,1450,460,957,205,708,1212,210,420,689,405,180,35,24,25,23,67,85,76,86,50,18,20,19,3,2,42,47,70,72,45,44,91,63,62,56,22,79])).
% 8.41/8.54 cnf(1573,plain,
% 8.41/8.54 (~E(f8(f5(a10,a2),f5(a10,a2)),a9)),
% 8.41/8.54 inference(scs_inference,[],[118,1533,1537,97,1446,1438,1492,1343,1504,1444,1093,1054,1498,1507,914,1455,377,127,199,225,680,657,415,1196,386,760,1450,460,957,205,708,1212,189,210,420,689,405,180,35,24,25,23,67,85,76,86,50,18,20,19,3,2,42,47,70,72,45,44,91,63,62,56,22,79,65,568,1434,833,126])).
% 8.41/8.54 cnf(1589,plain,
% 8.41/8.54 (P3(f7(f5(a10,a2),a1),f7(f5(a10,a2),a9))),
% 8.41/8.54 inference(scs_inference,[],[1562,1356])).
% 8.41/8.54 cnf(1590,plain,
% 8.41/8.54 (P1(f7(f8(f5(a10,a2),a11),f8(f5(a10,a2),a11)))),
% 8.41/8.54 inference(scs_inference,[],[206,57])).
% 8.41/8.54 cnf(1595,plain,
% 8.41/8.54 (P3(f8(f5(a10,a2),a11),f8(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[118,97,1555,206,24,23,57,63,5,56])).
% 8.41/8.54 cnf(1603,plain,
% 8.41/8.54 (P3(f8(f6(a11,a10),f7(a1,f6(a11,a10))),f3(f7(a1,f6(a11,a10)),f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[118,100,97,1509,1555,1565,206,1341,757,1231,24,25,23,57,63,5,56,21,67,76,20,19])).
% 8.41/8.54 cnf(1606,plain,
% 8.41/8.54 (E(f7(f8(f5(a10,a2),a11),a1),f8(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[39,118,100,97,1509,1547,1555,1565,206,1341,757,1231,24,25,23,57,63,5,56,21,67,76,20,19,3,2,46])).
% 8.41/8.54 cnf(1656,plain,
% 8.41/8.54 (P3(f8(a11,a11),f8(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[119,97,1595,1496,1538,710,1143,135,1158,351,131,285,613,210,689,411,26,32,23,72,73,57,51,58,76,67,20,19])).
% 8.41/8.54 cnf(1674,plain,
% 8.41/8.54 (P3(a1,f5(a9,a9))),
% 8.41/8.54 inference(scs_inference,[],[1562,449,411,24,23,77])).
% 8.41/8.54 cnf(1676,plain,
% 8.41/8.54 (E(f7(x16761,f8(f5(a10,a2),x16762)),f7(x16761,f8(a11,x16762)))),
% 8.41/8.54 inference(scs_inference,[],[119,1562,449,411,24,23,77,9])).
% 8.41/8.54 cnf(1682,plain,
% 8.41/8.54 (P3(f8(a11,a11),f8(a11,a11))),
% 8.41/8.54 inference(scs_inference,[],[119,97,1656,1606,1562,799,212,449,411,26,24,23,77,9,8,58,65,20])).
% 8.41/8.54 cnf(1683,plain,
% 8.41/8.54 (E(f8(f5(a10,a2),x16831),f8(a11,x16831))),
% 8.41/8.54 inference(rename_variables,[],[119])).
% 8.41/8.54 cnf(1689,plain,
% 8.41/8.54 (E(f8(x16891,f8(f5(a10,a2),x16892)),f8(x16891,f8(a11,x16892)))),
% 8.41/8.54 inference(scs_inference,[],[95,119,1683,97,1656,1262,202,1606,1242,1555,1562,799,212,449,411,26,24,23,77,9,8,58,65,20,19,3,2,48,11])).
% 8.41/8.54 cnf(1692,plain,
% 8.41/8.54 (E(f8(f8(f5(a10,a2),x16921),x16922),f8(f8(a11,x16921),x16922))),
% 8.41/8.54 inference(scs_inference,[],[95,119,1683,97,1656,1262,202,1606,1573,1242,1555,1562,799,212,149,449,411,26,24,23,77,9,8,58,65,20,19,3,2,48,11,49,10])).
% 8.41/8.54 cnf(1694,plain,
% 8.41/8.54 (P4(a1,f5(a9,a9))),
% 8.41/8.54 inference(scs_inference,[],[95,119,1683,97,1656,1262,202,1606,1573,1242,1555,1562,799,336,212,149,449,411,26,24,23,77,9,8,58,65,20,19,3,2,48,11,49,10,6,60])).
% 8.41/8.54 cnf(1696,plain,
% 8.41/8.54 (P3(f7(f5(a10,a2),a1),f7(f5(a10,a2),f5(a9,a9)))),
% 8.41/8.54 inference(scs_inference,[],[95,119,1683,97,1656,1262,202,1606,1573,1242,1555,1562,799,336,212,149,449,411,26,24,23,77,9,8,58,65,20,19,3,2,48,11,49,10,6,60,88])).
% 8.41/8.54 cnf(1720,plain,
% 8.41/8.54 (~P3(f5(a9,a9),a1)),
% 8.41/8.54 inference(scs_inference,[],[120,1603,1166,1674,1453,135,1289,336,411,23,15,7,4,13,77,64])).
% 8.41/8.54 cnf(1755,plain,
% 8.41/8.54 (P1(f7(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[120,1682,1689,1322,386,384,129,285,68,65,16])).
% 8.41/8.54 cnf(1756,plain,
% 8.41/8.54 (E(f7(x17561,f5(a10,a2)),f7(x17561,a11))),
% 8.41/8.54 inference(rename_variables,[],[120])).
% 8.41/8.54 cnf(1758,plain,
% 8.41/8.54 (~P3(f5(a9,a9),f5(a1,f6(a11,a10)))),
% 8.41/8.54 inference(scs_inference,[],[120,112,1682,1689,1720,1386,994,1322,386,384,129,285,68,65,16,18,20])).
% 8.41/8.54 cnf(1759,plain,
% 8.41/8.54 (P3(f8(f5(a10,a2),a11),f8(a11,a11))),
% 8.41/8.54 inference(scs_inference,[],[120,112,1682,1689,1720,1386,994,1322,372,386,384,129,285,68,65,16,18,20,19])).
% 8.41/8.54 cnf(1762,plain,
% 8.41/8.54 (E(f7(x17621,f5(a10,a2)),f7(x17621,a11))),
% 8.41/8.54 inference(rename_variables,[],[120])).
% 8.41/8.54 cnf(1763,plain,
% 8.41/8.54 (~E(f5(f5(a10,a12),f6(a11,a10)),f5(a10,f5(a12,f6(a11,a10))))),
% 8.41/8.54 inference(scs_inference,[],[120,1756,112,1682,1689,1720,357,818,1386,994,1322,372,386,384,129,285,68,65,16,18,20,19,3,2])).
% 8.41/8.54 cnf(1771,plain,
% 8.41/8.54 (P2(a1,a1)),
% 8.41/8.54 inference(scs_inference,[],[119,120,1756,112,1682,1689,1720,357,818,1386,994,1322,553,372,1111,1114,386,384,129,285,646,32,23,68,65,16,18,20,19,3,2,69,46,43,14,62])).
% 8.41/8.54 cnf(1773,plain,
% 8.41/8.54 (P3(f5(a10,a2),f7(f5(a10,a2),a11))),
% 8.41/8.54 inference(scs_inference,[],[119,120,1756,1762,112,97,1682,1689,1720,357,818,1386,994,1322,553,372,1111,1114,386,384,129,285,646,32,23,68,65,16,18,20,19,3,2,69,46,43,14,62,63])).
% 8.41/8.54 cnf(1776,plain,
% 8.41/8.54 (P4(a1,a9)),
% 8.41/8.54 inference(scs_inference,[],[119,120,1756,1762,112,97,1682,1689,1720,357,1694,818,1386,994,1322,553,324,372,1111,1114,386,384,129,285,646,27,32,25,23,68,65,16,18,20,19,3,2,69,46,43,14,62,63,86,22])).
% 8.41/8.54 cnf(1798,plain,
% 8.41/8.54 (P2(a11,f5(f5(a10,a2),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[97,1692,1771,1532,125,199,240,1143,386,26,23,85,73,75,62])).
% 8.41/8.54 cnf(1801,plain,
% 8.41/8.54 (P3(f5(a10,a2),f7(a11,a11))),
% 8.41/8.54 inference(scs_inference,[],[97,121,1692,1771,1532,125,199,240,1143,787,386,26,23,85,73,75,62,63])).
% 8.41/8.54 cnf(1802,plain,
% 8.41/8.54 (E(f7(f5(a10,a2),x18021),f7(a11,x18021))),
% 8.41/8.54 inference(rename_variables,[],[121])).
% 8.41/8.54 cnf(1808,plain,
% 8.41/8.54 (E(f5(a10,a2),f8(f7(f5(a10,a2),a11),f5(a10,a2)))),
% 8.41/8.54 inference(scs_inference,[],[97,121,120,1773,1755,1692,1771,1532,125,199,240,1143,787,1559,386,1196,26,23,85,73,75,62,63,87,86,79])).
% 8.41/8.54 cnf(1809,plain,
% 8.41/8.54 (E(f7(x18091,f5(a10,a2)),f7(x18091,a11))),
% 8.41/8.54 inference(rename_variables,[],[120])).
% 8.41/8.54 cnf(1811,plain,
% 8.41/8.54 (P1(f7(f8(f5(a10,a2),a11),f8(a11,a11)))),
% 8.41/8.54 inference(scs_inference,[],[97,121,120,1590,1773,1755,1692,1771,1532,1676,125,199,240,1143,787,1559,386,1196,26,23,85,73,75,62,63,87,86,79,16])).
% 8.41/8.54 cnf(1814,plain,
% 8.41/8.54 (E(f7(f5(a10,a2),x18141),f7(a11,x18141))),
% 8.41/8.54 inference(rename_variables,[],[121])).
% 8.41/8.54 cnf(1816,plain,
% 8.41/8.54 (E(f7(f5(a10,a2),f5(a10,a2)),f7(a11,a11))),
% 8.41/8.54 inference(scs_inference,[],[97,121,1802,1814,120,1809,1590,1696,1773,1755,1692,1771,1758,1532,1676,125,551,199,240,1143,787,1559,386,1196,26,23,85,73,75,62,63,87,86,79,16,20,19,3])).
% 8.41/8.54 cnf(1838,plain,
% 8.41/8.54 (~P3(f5(a10,a10),a1)),
% 8.41/8.54 inference(scs_inference,[],[185,676,689,25,23,77])).
% 8.41/8.54 cnf(1840,plain,
% 8.41/8.54 (E(f7(f7(f5(a2,a2),f5(a2,a2)),f5(a2,a2)),f7(f5(a2,a2),f7(f5(a2,a2),f5(a2,a2))))),
% 8.41/8.54 inference(scs_inference,[],[185,996,676,689,25,23,77,85])).
% 8.41/8.54 cnf(1847,plain,
% 8.41/8.54 (P3(a1,f5(a10,a2))),
% 8.41/8.54 inference(scs_inference,[],[97,121,1206,1099,185,996,676,689,25,23,77,85,56,5,88,63])).
% 8.41/8.54 cnf(1853,plain,
% 8.41/8.54 (E(f8(x18531,a11),f8(x18531,f5(a10,a2)))),
% 8.41/8.54 inference(rename_variables,[],[351])).
% 8.41/8.54 cnf(1855,plain,
% 8.41/8.54 (E(f7(f5(a10,a2),x18551),f7(a11,x18551))),
% 8.41/8.54 inference(rename_variables,[],[121])).
% 8.41/8.54 cnf(1877,plain,
% 8.41/8.54 (E(f6(f7(f5(a10,a2),x18771),x18772),f6(f7(a11,x18771),x18772))),
% 8.41/8.54 inference(scs_inference,[],[97,121,1855,1816,1811,1759,1801,1808,1206,1776,1589,601,1050,761,1798,1348,375,1099,352,1266,185,1565,351,1853,1143,787,996,676,689,26,25,23,77,85,56,5,88,63,86,18,20,19,3,2,48,66,73,50,87,79,21,17,11,10,6])).
% 8.41/8.54 cnf(1908,plain,
% 8.41/8.54 (E(f6(x19081,f5(a10,a2)),f6(x19081,a11))),
% 8.41/8.54 inference(rename_variables,[],[122])).
% 8.41/8.54 cnf(1922,plain,
% 8.41/8.54 (P1(f4(a1,a1))),
% 8.41/8.54 inference(scs_inference,[],[98,122,1908,121,110,1840,1847,1877,1838,1811,1771,328,1562,1755,279,957,787,423,405,24,97,23,57,85,67,50,76,86,79,20,19,3,2,42,47,45,90,44,15,68])).
% 8.41/8.54 cnf(1947,plain,
% 8.41/8.54 ($false),
% 8.41/8.54 inference(scs_inference,[],[122,1502,1922,1763,1682,1448,386,27,32,25,7,9,57,8,58,67,76,86]),
% 8.41/8.54 ['proof']).
% 8.41/8.54 % SZS output end Proof
% 8.41/8.54 % Total time :7.890000s
%------------------------------------------------------------------------------