TSTP Solution File: NUM475+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM475+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 : n013.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 10:22:20 EDT 2023
% Result : Theorem 1.93s 2.03s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Fri Aug 25 09:30:17 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.93/2.01 %-------------------------------------------
% 1.93/2.01 % File :CSE---1.6
% 1.93/2.01 % Problem :theBenchmark
% 1.93/2.01 % Transform :cnf
% 1.93/2.01 % Format :tptp:raw
% 1.93/2.01 % Command :java -jar mcs_scs.jar %d %s
% 1.93/2.01
% 1.93/2.01 % Result :Theorem 1.380000s
% 1.93/2.01 % Output :CNFRefutation 1.380000s
% 1.93/2.01 %-------------------------------------------
% 1.93/2.02 %------------------------------------------------------------------------------
% 1.93/2.02 % File : NUM475+1 : TPTP v8.1.2. Released v4.0.0.
% 1.93/2.02 % Domain : Number Theory
% 1.93/2.02 % Problem : Square root of a prime is irrational 10_06, 00 expansion
% 1.93/2.02 % Version : Especial.
% 1.93/2.02 % English :
% 1.93/2.02
% 1.93/2.02 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 1.93/2.02 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.93/2.02 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.93/2.02 % Source : [Pas08]
% 1.93/2.02 % Names : primes_10_06.00 [Pas08]
% 1.93/2.02
% 1.93/2.02 % Status : Theorem
% 1.93/2.02 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.34 v7.4.0, 0.27 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.30 v7.0.0, 0.33 v6.4.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.50 v6.0.0, 0.48 v5.5.0, 0.56 v5.4.0, 0.61 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.62 v4.1.0, 0.65 v4.0.1, 0.78 v4.0.0
% 1.93/2.02 % Syntax : Number of formulae : 42 ( 8 unt; 4 def)
% 1.93/2.02 % Number of atoms : 164 ( 53 equ)
% 1.93/2.02 % Maximal formula atoms : 10 ( 3 avg)
% 1.93/2.02 % Number of connectives : 137 ( 15 ~; 6 |; 63 &)
% 1.93/2.02 % ( 4 <=>; 49 =>; 0 <=; 0 <~>)
% 1.93/2.02 % Maximal formula depth : 11 ( 5 avg)
% 1.93/2.02 % Maximal term depth : 3 ( 1 avg)
% 1.93/2.02 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 1.93/2.02 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 1.93/2.02 % Number of variables : 70 ( 68 !; 2 ?)
% 1.93/2.02 % SPC : FOF_THM_RFO_SEQ
% 1.93/2.02
% 1.93/2.02 % Comments : Problem generated by the SAD system [VLP07]
% 1.93/2.02 %------------------------------------------------------------------------------
% 1.93/2.02 fof(mNatSort,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => $true ) ).
% 1.93/2.02
% 1.93/2.02 fof(mSortsC,axiom,
% 1.93/2.02 aNaturalNumber0(sz00) ).
% 1.93/2.02
% 1.93/2.02 fof(mSortsC_01,axiom,
% 1.93/2.02 ( aNaturalNumber0(sz10)
% 1.93/2.02 & sz10 != sz00 ) ).
% 1.93/2.02
% 1.93/2.02 fof(mSortsB,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mSortsB_02,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mAddComm,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mAddAsso,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 1.93/2.02
% 1.93/2.02 fof(m_AddZero,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => ( sdtpldt0(W0,sz00) = W0
% 1.93/2.02 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mMulComm,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mMulAsso,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 1.93/2.02
% 1.93/2.02 fof(m_MulUnit,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => ( sdtasdt0(W0,sz10) = W0
% 1.93/2.02 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(m_MulZero,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => ( sdtasdt0(W0,sz00) = sz00
% 1.93/2.02 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mAMDistr,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.93/2.02 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mAddCanc,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 1.93/2.02 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 1.93/2.02 => W1 = W2 ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mMulCanc,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => ( W0 != sz00
% 1.93/2.02 => ! [W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 1.93/2.02 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 1.93/2.02 => W1 = W2 ) ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mZeroAdd,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( sdtpldt0(W0,W1) = sz00
% 1.93/2.02 => ( W0 = sz00
% 1.93/2.02 & W1 = sz00 ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mZeroMul,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( sdtasdt0(W0,W1) = sz00
% 1.93/2.02 => ( W0 = sz00
% 1.93/2.02 | W1 = sz00 ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mDefLE,definition,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( sdtlseqdt0(W0,W1)
% 1.93/2.02 <=> ? [W2] :
% 1.93/2.02 ( aNaturalNumber0(W2)
% 1.93/2.02 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mDefDiff,definition,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( sdtlseqdt0(W0,W1)
% 1.93/2.02 => ! [W2] :
% 1.93/2.02 ( W2 = sdtmndt0(W1,W0)
% 1.93/2.02 <=> ( aNaturalNumber0(W2)
% 1.93/2.02 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mLERefl,axiom,
% 1.93/2.02 ! [W0] :
% 1.93/2.02 ( aNaturalNumber0(W0)
% 1.93/2.02 => sdtlseqdt0(W0,W0) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mLEAsym,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( ( sdtlseqdt0(W0,W1)
% 1.93/2.02 & sdtlseqdt0(W1,W0) )
% 1.93/2.02 => W0 = W1 ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mLETran,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => ( ( sdtlseqdt0(W0,W1)
% 1.93/2.02 & sdtlseqdt0(W1,W2) )
% 1.93/2.02 => sdtlseqdt0(W0,W2) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mLETotal,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( sdtlseqdt0(W0,W1)
% 1.93/2.02 | ( W1 != W0
% 1.93/2.02 & sdtlseqdt0(W1,W0) ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mMonAdd,axiom,
% 1.93/2.02 ! [W0,W1] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1) )
% 1.93/2.02 => ( ( W0 != W1
% 1.93/2.02 & sdtlseqdt0(W0,W1) )
% 1.93/2.02 => ! [W2] :
% 1.93/2.02 ( aNaturalNumber0(W2)
% 1.93/2.02 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 1.93/2.02 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 1.93/2.02 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 1.93/2.02 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 1.93/2.02
% 1.93/2.02 fof(mMonMul,axiom,
% 1.93/2.02 ! [W0,W1,W2] :
% 1.93/2.02 ( ( aNaturalNumber0(W0)
% 1.93/2.02 & aNaturalNumber0(W1)
% 1.93/2.02 & aNaturalNumber0(W2) )
% 1.93/2.02 => ( ( W0 != sz00
% 1.93/2.02 & W1 != W2
% 1.93/2.02 & sdtlseqdt0(W1,W2) )
% 1.93/2.03 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 1.93/2.03 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.93/2.03 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 1.93/2.03 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mLENTr,axiom,
% 1.93/2.03 ! [W0] :
% 1.93/2.03 ( aNaturalNumber0(W0)
% 1.93/2.03 => ( W0 = sz00
% 1.93/2.03 | W0 = sz10
% 1.93/2.03 | ( sz10 != W0
% 1.93/2.03 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mMonMul2,axiom,
% 1.93/2.03 ! [W0,W1] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1) )
% 1.93/2.03 => ( W0 != sz00
% 1.93/2.03 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mIH,axiom,
% 1.93/2.03 ! [W0,W1] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1) )
% 1.93/2.03 => ( iLess0(W0,W1)
% 1.93/2.03 => $true ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mIH_03,axiom,
% 1.93/2.03 ! [W0,W1] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1) )
% 1.93/2.03 => ( ( W0 != W1
% 1.93/2.03 & sdtlseqdt0(W0,W1) )
% 1.93/2.03 => iLess0(W0,W1) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mDefDiv,definition,
% 1.93/2.03 ! [W0,W1] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1) )
% 1.93/2.03 => ( doDivides0(W0,W1)
% 1.93/2.03 <=> ? [W2] :
% 1.93/2.03 ( aNaturalNumber0(W2)
% 1.93/2.03 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mDefQuot,definition,
% 1.93/2.03 ! [W0,W1] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1) )
% 1.93/2.03 => ( ( W0 != sz00
% 1.93/2.03 & doDivides0(W0,W1) )
% 1.93/2.03 => ! [W2] :
% 1.93/2.03 ( W2 = sdtsldt0(W1,W0)
% 1.93/2.03 <=> ( aNaturalNumber0(W2)
% 1.93/2.03 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mDivTrans,axiom,
% 1.93/2.03 ! [W0,W1,W2] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1)
% 1.93/2.03 & aNaturalNumber0(W2) )
% 1.93/2.03 => ( ( doDivides0(W0,W1)
% 1.93/2.03 & doDivides0(W1,W2) )
% 1.93/2.03 => doDivides0(W0,W2) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(mDivSum,axiom,
% 1.93/2.03 ! [W0,W1,W2] :
% 1.93/2.03 ( ( aNaturalNumber0(W0)
% 1.93/2.03 & aNaturalNumber0(W1)
% 1.93/2.03 & aNaturalNumber0(W2) )
% 1.93/2.03 => ( ( doDivides0(W0,W1)
% 1.93/2.03 & doDivides0(W0,W2) )
% 1.93/2.03 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1324,hypothesis,
% 1.93/2.03 ( aNaturalNumber0(xl)
% 1.93/2.03 & aNaturalNumber0(xm)
% 1.93/2.03 & aNaturalNumber0(xn) ) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1324_04,hypothesis,
% 1.93/2.03 ( doDivides0(xl,xm)
% 1.93/2.03 & doDivides0(xl,sdtpldt0(xm,xn)) ) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1347,hypothesis,
% 1.93/2.03 xl != sz00 ).
% 1.93/2.03
% 1.93/2.03 fof(m__1360,hypothesis,
% 1.93/2.03 xp = sdtsldt0(xm,xl) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1379,hypothesis,
% 1.93/2.03 xq = sdtsldt0(sdtpldt0(xm,xn),xl) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1395,hypothesis,
% 1.93/2.03 sdtlseqdt0(xp,xq) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1422,hypothesis,
% 1.93/2.03 xr = sdtmndt0(xq,xp) ).
% 1.93/2.03
% 1.93/2.03 fof(m__1459,hypothesis,
% 1.93/2.03 sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn) ).
% 1.93/2.03
% 1.93/2.03 fof(m__,conjecture,
% 1.93/2.03 xn = sdtasdt0(xl,xr) ).
% 1.93/2.03
% 1.93/2.03 %------------------------------------------------------------------------------
% 1.93/2.03 %-------------------------------------------
% 1.93/2.03 % Proof found
% 1.93/2.03 % SZS status Theorem for theBenchmark
% 1.93/2.03 % SZS output start Proof
% 1.93/2.03 %ClaNum:88(EqnAxiom:22)
% 1.93/2.03 %VarNum:348(SingletonVarNum:109)
% 1.93/2.03 %MaxLitNum:7
% 1.93/2.03 %MaxfuncDepth:2
% 1.93/2.03 %SharedTerms:31
% 1.93/2.03 %goalClause: 37
% 1.93/2.03 %singleGoalClaCount:1
% 1.93/2.03 [23]P1(a1)
% 1.93/2.03 [24]P1(a8)
% 1.93/2.03 [25]P1(a9)
% 1.93/2.03 [26]P1(a10)
% 1.93/2.03 [27]P1(a11)
% 1.93/2.03 [30]P2(a12,a13)
% 1.93/2.03 [31]P3(a9,a10)
% 1.93/2.03 [35]~E(a1,a8)
% 1.93/2.03 [36]~E(a1,a9)
% 1.93/2.03 [28]E(f2(a10,a9),a12)
% 1.93/2.03 [29]E(f3(a13,a12),a14)
% 1.93/2.03 [33]P3(a9,f7(a10,a11))
% 1.93/2.03 [37]~E(f4(a9,a14),a11)
% 1.93/2.03 [32]E(f2(f7(a10,a11),a9),a13)
% 1.93/2.03 [34]E(f7(f4(a9,a12),f4(a9,a14)),f7(f4(a9,a12),a11))
% 1.93/2.03 [44]~P1(x441)+P2(x441,x441)
% 1.93/2.03 [38]~P1(x381)+E(f4(a1,x381),a1)
% 1.93/2.03 [39]~P1(x391)+E(f4(x391,a1),a1)
% 1.93/2.03 [40]~P1(x401)+E(f7(a1,x401),x401)
% 1.93/2.03 [41]~P1(x411)+E(f4(a8,x411),x411)
% 1.93/2.03 [42]~P1(x421)+E(f7(x421,a1),x421)
% 1.93/2.03 [43]~P1(x431)+E(f4(x431,a8),x431)
% 1.93/2.03 [50]~P1(x502)+~P1(x501)+E(f7(x501,x502),f7(x502,x501))
% 1.93/2.03 [51]~P1(x512)+~P1(x511)+E(f4(x511,x512),f4(x512,x511))
% 1.93/2.03 [53]~P1(x532)+~P1(x531)+P1(f7(x531,x532))
% 1.93/2.03 [54]~P1(x542)+~P1(x541)+P1(f4(x541,x542))
% 1.93/2.03 [45]~P1(x451)+E(x451,a8)+P2(a8,x451)+E(x451,a1)
% 1.93/2.03 [46]~E(x462,x461)+~P1(x461)+~P1(x462)+P2(x461,x462)
% 1.93/2.03 [52]P2(x522,x521)+~P1(x521)+~P1(x522)+P2(x521,x522)
% 1.93/2.03 [47]~P1(x472)+~P1(x471)+E(x471,a1)+~E(f7(x472,x471),a1)
% 1.93/2.03 [48]~P1(x482)+~P1(x481)+E(x481,a1)+~E(f7(x481,x482),a1)
% 1.93/2.03 [56]~P1(x562)+~P1(x561)+P2(x562,f4(x562,x561))+E(x561,a1)
% 1.93/2.03 [62]~P1(x622)+~P1(x621)+~P2(x621,x622)+P1(f5(x621,x622))
% 1.93/2.03 [63]~P1(x632)+~P1(x631)+~P3(x631,x632)+P1(f6(x631,x632))
% 1.93/2.03 [70]~P1(x701)+~P1(x702)+~P3(x701,x702)+E(f4(x701,f6(x701,x702)),x702)
% 1.93/2.03 [71]~P1(x712)+~P1(x711)+~P2(x711,x712)+E(f7(x711,f5(x711,x712)),x712)
% 1.93/2.03 [80]~P1(x803)+~P1(x802)+~P1(x801)+E(f7(f7(x801,x802),x803),f7(x801,f7(x802,x803)))
% 1.93/2.03 [81]~P1(x813)+~P1(x812)+~P1(x811)+E(f4(f4(x811,x812),x813),f4(x811,f4(x812,x813)))
% 1.93/2.03 [87]~P1(x873)+~P1(x872)+~P1(x871)+E(f7(f4(x871,x872),f4(x871,x873)),f4(x871,f7(x872,x873)))
% 1.93/2.03 [88]~P1(x882)+~P1(x883)+~P1(x881)+E(f7(f4(x881,x882),f4(x883,x882)),f4(f7(x881,x883),x882))
% 1.93/2.03 [55]P4(x551,x552)+~P1(x552)+~P1(x551)+~P2(x551,x552)+E(x551,x552)
% 1.93/2.03 [59]~P1(x592)+~P1(x591)+~P2(x592,x591)+~P2(x591,x592)+E(x591,x592)
% 1.93/2.03 [49]~P1(x491)+~P1(x492)+E(x491,a1)+E(x492,a1)+~E(f4(x492,x491),a1)
% 1.93/2.03 [57]~P1(x571)+~P1(x572)+~P1(x573)+P3(x571,x572)+~E(x572,f4(x571,x573))
% 1.93/2.03 [58]~P1(x582)+~P1(x581)+~P1(x583)+P2(x581,x582)+~E(f7(x581,x583),x582)
% 1.93/2.03 [60]~P1(x603)+~P1(x602)+~P2(x603,x602)+P1(x601)+~E(x601,f3(x602,x603))
% 1.93/2.03 [64]~P1(x642)+~P1(x641)+~P1(x643)+E(x641,x642)+~E(f7(x643,x641),f7(x643,x642))
% 1.93/2.03 [65]~P1(x652)+~P1(x653)+~P1(x651)+E(x651,x652)+~E(f7(x651,x653),f7(x652,x653))
% 1.93/2.03 [68]~P1(x683)+~P1(x681)+~P2(x681,x683)+~E(x682,f3(x683,x681))+E(f7(x681,x682),x683)
% 1.93/2.03 [72]~P1(x722)+~P1(x721)+~P2(x723,x722)+~P2(x721,x723)+P2(x721,x722)+~P1(x723)
% 1.93/2.03 [73]~P1(x732)+~P1(x731)+~P3(x733,x732)+~P3(x731,x733)+P3(x731,x732)+~P1(x733)
% 1.93/2.03 [61]~P1(x611)+~P1(x613)+~P3(x611,x613)+P1(x612)+E(x611,a1)+~E(x612,f2(x613,x611))
% 1.93/2.03 [66]~P1(x662)+~P1(x661)+~P1(x663)+E(x661,x662)+~E(f4(x663,x661),f4(x663,x662))+E(x663,a1)
% 1.93/2.03 [67]~P1(x672)+~P1(x673)+~P1(x671)+E(x671,x672)+~E(f4(x671,x673),f4(x672,x673))+E(x673,a1)
% 1.93/2.03 [69]~P1(x691)+~P1(x692)+~P3(x691,x692)+~E(x693,f2(x692,x691))+E(x691,a1)+E(x692,f4(x691,x693))
% 1.93/2.03 [74]~P1(x742)+~P1(x743)+~P1(x741)+~P2(x743,x742)+~E(f7(x743,x741),x742)+E(x741,f3(x742,x743))
% 1.93/2.03 [82]~P1(x823)+~P1(x822)+~P1(x821)+~P3(x821,x823)+~P3(x821,x822)+P3(x821,f7(x822,x823))
% 1.93/2.03 [83]~P1(x832)+~P1(x831)+~P1(x833)+~P2(x831,x832)+E(x831,x832)+P2(f7(x833,x831),f7(x833,x832))
% 1.93/2.03 [84]~P1(x842)+~P1(x843)+~P1(x841)+~P2(x841,x842)+E(x841,x842)+P2(f7(x841,x843),f7(x842,x843))
% 1.93/2.03 [75]~P1(x751)+~P1(x753)+~P1(x752)+~P3(x751,x753)+~E(x753,f4(x751,x752))+E(x751,a1)+E(x752,f2(x753,x751))
% 1.93/2.03 [85]~P1(x852)+~P1(x851)+~P1(x853)+~P2(x851,x852)+E(x851,x852)+P2(f4(x853,x851),f4(x853,x852))+E(x853,a1)
% 1.93/2.03 [86]~P1(x862)+~P1(x863)+~P1(x861)+~P2(x861,x862)+E(x861,x862)+P2(f4(x861,x863),f4(x862,x863))+E(x863,a1)
% 1.93/2.03 %EqnAxiom
% 1.93/2.03 [1]E(x11,x11)
% 1.93/2.03 [2]E(x22,x21)+~E(x21,x22)
% 1.93/2.03 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.93/2.03 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 1.93/2.03 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 1.93/2.03 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 1.93/2.03 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 1.93/2.03 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83))
% 1.93/2.03 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92))
% 1.93/2.03 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 1.93/2.03 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 1.93/2.03 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 1.93/2.03 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 1.93/2.03 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 1.93/2.03 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 1.93/2.03 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 1.93/2.03 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 1.93/2.03 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 1.93/2.03 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 1.93/2.03 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 1.93/2.03 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 1.93/2.03 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 1.93/2.03
% 1.93/2.03 %-------------------------------------------
% 1.93/2.03 cnf(89,plain,
% 1.93/2.03 (E(a12,f2(a10,a9))),
% 1.93/2.03 inference(scs_inference,[],[28,2])).
% 1.93/2.03 cnf(90,plain,
% 1.93/2.03 (P2(f2(a10,a9),a13)),
% 1.93/2.03 inference(scs_inference,[],[30,28,2,17])).
% 1.93/2.03 cnf(91,plain,
% 1.93/2.03 (P2(a1,a1)),
% 1.93/2.03 inference(scs_inference,[],[23,30,28,2,17,52])).
% 1.93/2.03 cnf(92,plain,
% 1.93/2.03 (P2(a8,a8)),
% 1.93/2.03 inference(scs_inference,[],[23,24,30,28,2,17,52,44])).
% 1.93/2.03 cnf(94,plain,
% 1.93/2.03 (E(f4(a1,a8),a1)),
% 1.93/2.03 inference(scs_inference,[],[23,24,30,28,2,17,52,44,43])).
% 1.93/2.03 cnf(96,plain,
% 1.93/2.03 (E(f7(a1,a1),a1)),
% 1.93/2.03 inference(scs_inference,[],[23,24,30,28,2,17,52,44,43,42])).
% 1.93/2.03 cnf(98,plain,
% 1.93/2.03 (E(f4(a8,a1),a1)),
% 1.93/2.03 inference(scs_inference,[],[23,24,30,28,2,17,52,44,43,42,41])).
% 1.93/2.03 cnf(100,plain,
% 1.93/2.03 (E(f7(a1,a8),a8)),
% 1.93/2.03 inference(scs_inference,[],[23,24,30,28,2,17,52,44,43,42,41,40])).
% 1.93/2.03 cnf(106,plain,
% 1.93/2.03 (E(f5(x1061,f2(a10,a9)),f5(x1061,a12))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15])).
% 1.93/2.03 cnf(107,plain,
% 1.93/2.03 (E(f5(f2(a10,a9),x1071),f5(a12,x1071))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14])).
% 1.93/2.03 cnf(108,plain,
% 1.93/2.03 (E(f6(x1081,f2(a10,a9)),f6(x1081,a12))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13])).
% 1.93/2.03 cnf(109,plain,
% 1.93/2.03 (E(f6(f2(a10,a9),x1091),f6(a12,x1091))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12])).
% 1.93/2.03 cnf(110,plain,
% 1.93/2.03 (E(f4(x1101,f2(a10,a9)),f4(x1101,a12))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11])).
% 1.93/2.03 cnf(111,plain,
% 1.93/2.03 (E(f4(f2(a10,a9),x1111),f4(a12,x1111))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10])).
% 1.93/2.03 cnf(114,plain,
% 1.93/2.03 (E(f3(x1141,f2(a10,a9)),f3(x1141,a12))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7])).
% 1.93/2.03 cnf(118,plain,
% 1.93/2.03 (~E(a1,x1181)+P1(x1181)),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16])).
% 1.93/2.03 cnf(120,plain,
% 1.93/2.03 (P1(f4(a1,a1))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54])).
% 1.93/2.03 cnf(122,plain,
% 1.93/2.03 (P1(f7(a1,a1))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53])).
% 1.93/2.03 cnf(124,plain,
% 1.93/2.03 (~E(a1,x1241)+E(f4(a1,x1241),f4(x1241,a1))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51])).
% 1.93/2.03 cnf(126,plain,
% 1.93/2.03 (~E(a1,x1261)+E(f7(a1,x1261),f7(x1261,a1))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51,50])).
% 1.93/2.03 cnf(128,plain,
% 1.93/2.03 (P2(a1,f4(a1,a1))+~E(a1,x1281)),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,30,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51,50,46])).
% 1.93/2.03 cnf(130,plain,
% 1.93/2.03 (~E(a1,x1301)+P1(f6(a9,a10))),
% 1.93/2.03 inference(scs_inference,[],[23,24,25,26,30,31,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51,50,46,63])).
% 1.93/2.03 cnf(132,plain,
% 1.93/2.04 (~E(a1,x1321)+P1(f5(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,24,25,26,30,31,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51,50,46,63,62])).
% 1.93/2.04 cnf(138,plain,
% 1.93/2.04 (~E(a1,x1381)+E(f7(a1,f5(a1,a1)),a1)),
% 1.93/2.04 inference(scs_inference,[],[23,24,25,26,30,31,35,28,2,17,52,44,43,42,41,40,39,38,15,14,13,12,11,10,9,8,7,6,5,4,16,3,54,53,51,50,46,63,62,81,80,71])).
% 1.93/2.04 cnf(172,plain,
% 1.93/2.04 (P2(a1,f4(a1,a1))),
% 1.93/2.04 inference(equality_inference,[],[128])).
% 1.93/2.04 cnf(173,plain,
% 1.93/2.04 (P1(f6(a9,a10))),
% 1.93/2.04 inference(equality_inference,[],[130])).
% 1.93/2.04 cnf(174,plain,
% 1.93/2.04 (P1(f5(a1,a1))),
% 1.93/2.04 inference(equality_inference,[],[132])).
% 1.93/2.04 cnf(177,plain,
% 1.93/2.04 (E(f7(a1,f5(a1,a1)),a1)),
% 1.93/2.04 inference(equality_inference,[],[138])).
% 1.93/2.04 cnf(181,plain,
% 1.93/2.04 (P1(f4(a10,a10))),
% 1.93/2.04 inference(scs_inference,[],[26,54])).
% 1.93/2.04 cnf(183,plain,
% 1.93/2.04 (P1(f7(a10,a10))),
% 1.93/2.04 inference(scs_inference,[],[26,54,53])).
% 1.93/2.04 cnf(191,plain,
% 1.93/2.04 (E(f7(a8,f5(a8,a8)),a8)),
% 1.93/2.04 inference(scs_inference,[],[26,24,92,54,53,62,81,80,71])).
% 1.93/2.04 cnf(193,plain,
% 1.93/2.04 (E(f5(a1,a1),a1)),
% 1.93/2.04 inference(scs_inference,[],[26,24,23,92,174,177,54,53,62,81,80,71,47])).
% 1.93/2.04 cnf(197,plain,
% 1.93/2.04 (E(f7(f4(a10,a10),f4(a10,a10)),f4(a10,f7(a10,a10)))),
% 1.93/2.04 inference(scs_inference,[],[26,24,23,92,174,177,54,53,62,81,80,71,47,88,87])).
% 1.93/2.04 cnf(199,plain,
% 1.93/2.04 (P3(a9,f7(a10,a10))),
% 1.93/2.04 inference(scs_inference,[],[26,31,24,25,23,92,174,177,54,53,62,81,80,71,47,88,87,82])).
% 1.93/2.04 cnf(201,plain,
% 1.93/2.04 (~E(a11,f4(a9,a14))),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,92,174,177,54,53,62,81,80,71,47,88,87,82,2])).
% 1.93/2.04 cnf(207,plain,
% 1.93/2.04 (E(a1,f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,91,106,107,96,92,174,177,54,53,62,81,80,71,47,88,87,82,2,3,57,74])).
% 1.93/2.04 cnf(209,plain,
% 1.93/2.04 (P2(a1,f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,91,122,106,107,96,92,174,177,54,53,62,81,80,71,47,88,87,82,2,3,57,74,46])).
% 1.93/2.04 cnf(211,plain,
% 1.93/2.04 (P2(f3(a1,a1),a1)),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,91,122,106,107,96,92,174,177,54,53,62,81,80,71,47,88,87,82,2,3,57,74,46,17])).
% 1.93/2.04 cnf(212,plain,
% 1.93/2.04 (P1(f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,91,122,106,107,96,92,174,177,54,53,62,81,80,71,47,88,87,82,2,3,57,74,46,17,16])).
% 1.93/2.04 cnf(215,plain,
% 1.93/2.04 (E(f4(a1,f3(a1,a1)),f4(f3(a1,a1),a1))),
% 1.93/2.04 inference(scs_inference,[],[37,26,31,24,25,23,91,122,106,107,96,92,174,177,54,53,62,81,80,71,47,88,87,82,2,3,57,74,46,17,16,126,124])).
% 1.93/2.04 cnf(227,plain,
% 1.93/2.04 (P1(f5(a1,f7(a1,a1)))),
% 1.93/2.04 inference(scs_inference,[],[23,209,122,62])).
% 1.93/2.04 cnf(229,plain,
% 1.93/2.04 (P2(f3(a1,a1),f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,209,211,207,122,62,18])).
% 1.93/2.04 cnf(230,plain,
% 1.93/2.04 (P2(a1,a8)),
% 1.93/2.04 inference(scs_inference,[],[23,24,209,211,100,207,122,62,18,58])).
% 1.93/2.04 cnf(236,plain,
% 1.93/2.04 (E(f7(a1,f5(a1,f7(a1,a1))),f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,27,24,209,211,100,207,122,62,18,58,81,80,71])).
% 1.93/2.04 cnf(244,plain,
% 1.93/2.04 (E(a14,f3(a13,a12))),
% 1.93/2.04 inference(scs_inference,[],[23,29,27,24,114,209,211,100,207,122,62,18,58,81,80,71,88,87,3,2])).
% 1.93/2.04 cnf(245,plain,
% 1.93/2.04 (P1(x2451)+~E(x2451,f3(f7(a1,a1),a1))),
% 1.93/2.04 inference(scs_inference,[],[23,29,27,24,114,209,211,100,207,122,62,18,58,81,80,71,88,87,3,2,60])).
% 1.93/2.04 cnf(259,plain,
% 1.93/2.04 (P1(f3(f7(a1,a1),a1))),
% 1.93/2.04 inference(equality_inference,[],[245])).
% 1.93/2.04 cnf(260,plain,
% 1.93/2.04 (P2(f7(a1,a1),f7(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,230,84])).
% 1.93/2.04 cnf(262,plain,
% 1.93/2.04 (P2(f7(a1,a1),f7(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,230,84,83])).
% 1.93/2.04 cnf(264,plain,
% 1.93/2.04 (~E(a8,a1)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,230,84,83,2])).
% 1.93/2.04 cnf(265,plain,
% 1.93/2.04 (~E(f3(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,230,207,84,83,2,3])).
% 1.93/2.04 cnf(268,plain,
% 1.93/2.04 (E(f5(a1,f7(a1,a1)),f3(f7(a1,a1),a1))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,230,207,209,122,84,83,2,3,49,74])).
% 1.93/2.04 cnf(270,plain,
% 1.93/2.04 (P2(a1,f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,230,207,209,122,84,83,2,3,49,74,56])).
% 1.93/2.04 cnf(274,plain,
% 1.93/2.04 (~P2(a8,a1)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,230,207,209,122,84,83,2,3,49,74,56,48,59])).
% 1.93/2.04 cnf(276,plain,
% 1.93/2.04 (~E(f7(a1,a8),a1)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,230,207,209,122,84,83,2,3,49,74,56,48,59,47])).
% 1.93/2.04 cnf(278,plain,
% 1.93/2.04 (~E(f7(a8,a8),a1)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,230,207,209,122,84,83,2,3,49,74,56,48,59,47,58])).
% 1.93/2.04 cnf(280,plain,
% 1.93/2.04 (~P2(a8,f5(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,27,236,227,193,230,207,209,122,84,83,2,3,49,74,56,48,59,47,58,18])).
% 1.93/2.04 cnf(285,plain,
% 1.93/2.04 (P2(a9,a9)),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,25,27,26,197,236,183,227,193,230,207,209,122,84,83,2,3,49,74,56,48,59,47,58,18,45,75,52])).
% 1.93/2.04 cnf(287,plain,
% 1.93/2.04 (~P3(a1,a1)+P1(f6(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[23,35,24,25,27,26,197,236,183,227,193,230,207,209,122,84,83,2,3,49,74,56,48,59,47,58,18,45,75,52,63])).
% 1.93/2.04 cnf(302,plain,
% 1.93/2.04 (P2(f7(a1,a8),f7(a8,a8))),
% 1.93/2.04 inference(scs_inference,[],[24,35,264,230,23,67,66,83,84])).
% 1.93/2.04 cnf(304,plain,
% 1.93/2.04 (P2(f4(a1,a8),f4(a8,a8))),
% 1.93/2.04 inference(scs_inference,[],[24,35,264,230,23,67,66,83,84,86])).
% 1.93/2.04 cnf(308,plain,
% 1.93/2.04 (P2(f5(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,35,276,280,264,174,91,230,23,67,66,83,84,86,68,52])).
% 1.93/2.04 cnf(310,plain,
% 1.93/2.04 (~E(f5(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,35,276,280,264,174,91,230,23,67,66,83,84,86,68,52,46])).
% 1.93/2.04 cnf(314,plain,
% 1.93/2.04 (E(a8,f3(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[24,35,276,280,264,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74])).
% 1.93/2.04 cnf(316,plain,
% 1.93/2.04 (~P2(f7(a8,f5(a8,a8)),f5(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[24,35,276,280,191,264,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17])).
% 1.93/2.04 cnf(321,plain,
% 1.93/2.04 (~P2(a8,f4(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[24,35,27,25,199,274,276,280,191,98,264,183,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17,70,58,18])).
% 1.93/2.04 cnf(322,plain,
% 1.93/2.04 (E(a13,f2(f7(a10,a11),a9))),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,25,199,274,276,280,191,98,264,183,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17,70,58,18,2])).
% 1.93/2.04 cnf(326,plain,
% 1.93/2.04 (~P2(f3(a1,a1),a8)+P4(f3(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,25,108,109,265,199,274,276,280,191,98,264,212,183,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17,70,58,18,2,3,55])).
% 1.93/2.04 cnf(328,plain,
% 1.93/2.04 (~P2(a8,f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,25,108,109,265,199,274,276,280,191,98,264,212,211,183,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17,70,58,18,2,3,55,72])).
% 1.93/2.04 cnf(334,plain,
% 1.93/2.04 (E(f3(a1,a1),a1)),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,25,108,109,278,265,199,274,276,280,191,98,264,212,211,183,174,100,91,230,23,67,66,83,84,86,68,52,46,56,74,17,70,58,18,2,3,55,72,49,75,45])).
% 1.93/2.04 cnf(343,plain,
% 1.93/2.04 (E(f4(a8,a8),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,41])).
% 1.93/2.04 cnf(349,plain,
% 1.93/2.04 (E(f7(a8,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,27,41,38,43,42])).
% 1.93/2.04 cnf(351,plain,
% 1.93/2.04 (E(f4(a11,a1),a1)),
% 1.93/2.04 inference(scs_inference,[],[24,27,41,38,43,42,39])).
% 1.93/2.04 cnf(353,plain,
% 1.93/2.04 (E(f5(f2(f7(a10,a11),a9),x3531),f5(a13,x3531))),
% 1.93/2.04 inference(scs_inference,[],[24,32,27,41,38,43,42,39,14])).
% 1.93/2.04 cnf(356,plain,
% 1.93/2.04 (E(f3(f2(f7(a10,a11),a9),x3561),f3(a13,x3561))),
% 1.93/2.04 inference(scs_inference,[],[24,32,27,41,38,43,42,39,14,12,8,6])).
% 1.93/2.04 cnf(358,plain,
% 1.93/2.04 (P4(a1,a8)),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,230,23,41,38,43,42,39,14,12,8,6,10,55])).
% 1.93/2.04 cnf(362,plain,
% 1.93/2.04 (P2(f3(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,328,308,310,174,212,264,230,23,41,38,43,42,39,14,12,8,6,10,55,86,52])).
% 1.93/2.04 cnf(365,plain,
% 1.93/2.04 (~E(f7(a8,a8),f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[24,32,35,27,302,328,308,310,100,174,212,264,230,23,41,38,43,42,39,14,12,8,6,10,55,86,52,17,58])).
% 1.93/2.04 cnf(368,plain,
% 1.93/2.04 (~E(a9,a1)),
% 1.93/2.04 inference(scs_inference,[],[24,90,36,32,35,27,302,328,308,310,322,100,174,212,264,230,23,41,38,43,42,39,14,12,8,6,10,55,86,52,17,58,18,2])).
% 1.93/2.04 cnf(374,plain,
% 1.93/2.04 (E(a10,f4(a9,a12))),
% 1.93/2.04 inference(scs_inference,[],[24,90,36,32,89,31,35,27,25,26,302,110,111,328,308,310,322,100,174,212,264,230,23,41,38,43,42,39,14,12,8,6,10,55,86,52,17,58,18,2,3,57,69])).
% 1.93/2.04 cnf(376,plain,
% 1.93/2.04 (P1(a12)),
% 1.93/2.04 inference(scs_inference,[],[24,90,36,32,89,31,35,27,25,26,302,110,111,328,308,310,322,100,174,212,264,230,23,41,38,43,42,39,14,12,8,6,10,55,86,52,17,58,18,2,3,57,69,61])).
% 1.93/2.04 cnf(409,plain,
% 1.93/2.04 (P4(f3(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[362,326])).
% 1.93/2.04 cnf(411,plain,
% 1.93/2.04 (P1(f7(a9,a9))),
% 1.93/2.04 inference(scs_inference,[],[25,53])).
% 1.93/2.04 cnf(420,plain,
% 1.93/2.04 (~E(f7(a9,a9),a1)),
% 1.93/2.04 inference(scs_inference,[],[25,36,29,362,368,265,212,24,23,53,85,67,66,11,48])).
% 1.93/2.04 cnf(422,plain,
% 1.93/2.04 (~E(f4(a9,a9),a1)),
% 1.93/2.04 inference(scs_inference,[],[25,36,29,362,368,265,212,24,23,53,85,67,66,11,48,49])).
% 1.93/2.04 cnf(425,plain,
% 1.93/2.04 (~P2(a8,f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[25,36,29,343,94,362,321,368,265,274,212,24,23,53,85,67,66,11,48,49,17,18])).
% 1.93/2.04 cnf(427,plain,
% 1.93/2.04 (E(f7(f4(a9,a12),a11),f7(f4(a9,a12),f4(a9,a14)))),
% 1.93/2.04 inference(scs_inference,[],[25,34,36,29,343,94,362,321,368,265,274,207,212,24,23,53,85,67,66,11,48,49,17,18,3,2])).
% 1.93/2.04 cnf(428,plain,
% 1.93/2.04 (P1(f4(a9,a9))),
% 1.93/2.04 inference(scs_inference,[],[25,34,36,29,343,94,362,321,368,265,274,207,212,24,23,53,85,67,66,11,48,49,17,18,3,2,54])).
% 1.93/2.04 cnf(432,plain,
% 1.93/2.04 (P1(f4(a9,a12))),
% 1.93/2.04 inference(scs_inference,[],[25,34,36,29,26,343,94,362,374,321,368,265,274,207,212,24,23,53,85,67,66,11,48,49,17,18,3,2,54,82,16])).
% 1.93/2.04 cnf(445,plain,
% 1.93/2.04 (P1(f4(a11,a11))),
% 1.93/2.04 inference(scs_inference,[],[27,54])).
% 1.93/2.04 cnf(447,plain,
% 1.93/2.04 (~P2(f7(a8,a1),f4(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,349,321,54,17])).
% 1.93/2.04 cnf(448,plain,
% 1.93/2.04 (~P2(a8,f4(a11,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,351,349,321,274,54,17,18])).
% 1.93/2.04 cnf(452,plain,
% 1.93/2.04 (~E(f3(a1,a1),f7(a8,a8))),
% 1.93/2.04 inference(scs_inference,[],[27,365,353,351,349,106,321,274,54,17,18,3,2])).
% 1.93/2.04 cnf(481,plain,
% 1.93/2.04 (~E(f7(f4(a9,a9),f4(a9,a9)),a1)),
% 1.93/2.04 inference(scs_inference,[],[428,120,172,422,376,23,71,81,80,88,47])).
% 1.93/2.04 cnf(483,plain,
% 1.93/2.04 (P1(f5(f3(a1,a1),f3(a1,a1)))),
% 1.93/2.04 inference(scs_inference,[],[428,120,172,422,229,376,212,23,71,81,80,88,47,62])).
% 1.93/2.04 cnf(490,plain,
% 1.93/2.04 (E(f3(f2(f7(a10,a11),a9),x4901),f3(a13,x4901))),
% 1.93/2.04 inference(rename_variables,[],[356])).
% 1.93/2.04 cnf(495,plain,
% 1.93/2.04 (P3(a9,f4(a9,a12))),
% 1.93/2.04 inference(scs_inference,[],[30,29,31,215,428,334,120,356,490,172,422,229,374,322,376,212,23,71,81,80,88,47,62,87,17,18,3,2,60,20])).
% 1.93/2.04 cnf(519,plain,
% 1.93/2.04 (E(f7(f3(a1,a1),f5(f3(a1,a1),f3(a1,a1))),f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[259,268,227,229,212,25,46,81,80,71])).
% 1.93/2.04 cnf(527,plain,
% 1.93/2.04 (~E(f7(a8,a10),f3(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[26,259,268,227,308,229,328,174,212,25,24,46,81,80,71,88,87,62,58])).
% 1.93/2.04 cnf(548,plain,
% 1.93/2.04 (P1(f7(f3(a1,a1),f5(f3(a1,a1),f3(a1,a1))))),
% 1.93/2.04 inference(scs_inference,[],[26,92,91,29,452,481,259,425,268,365,334,227,308,314,229,328,174,212,25,24,23,46,81,80,71,88,87,62,58,17,18,3,2,38,41,44,43,40,42,12,74,60])).
% 1.93/2.04 cnf(570,plain,
% 1.93/2.04 (E(f5(x5701,f4(a1,a8)),f5(x5701,a1))),
% 1.93/2.04 inference(scs_inference,[],[94,15])).
% 1.93/2.04 cnf(573,plain,
% 1.93/2.04 (E(f7(f4(a1,a8),x5731),f7(a1,x5731))),
% 1.93/2.04 inference(scs_inference,[],[94,15,14,13,8])).
% 1.93/2.04 cnf(574,plain,
% 1.93/2.04 (E(f3(f4(a1,a8),x5741),f3(a1,x5741))),
% 1.93/2.04 inference(scs_inference,[],[94,15,14,13,8,6])).
% 1.93/2.04 cnf(575,plain,
% 1.93/2.04 (E(f2(f4(a1,a8),x5751),f2(a1,x5751))),
% 1.93/2.04 inference(scs_inference,[],[94,15,14,13,8,6,4])).
% 1.93/2.04 cnf(576,plain,
% 1.93/2.04 (P1(f7(a11,a11))),
% 1.93/2.04 inference(scs_inference,[],[27,94,15,14,13,8,6,4,53])).
% 1.93/2.04 cnf(578,plain,
% 1.93/2.04 (~E(f4(f7(a9,a9),f7(a9,a9)),a1)),
% 1.93/2.04 inference(scs_inference,[],[27,94,420,411,15,14,13,8,6,4,53,49])).
% 1.93/2.04 cnf(580,plain,
% 1.93/2.04 (E(f7(f3(a1,a1),f3(f4(a1,a8),f3(a1,a1))),a1)),
% 1.93/2.04 inference(scs_inference,[],[27,94,420,411,211,212,23,15,14,13,8,6,4,53,49,68])).
% 1.93/2.04 cnf(590,plain,
% 1.93/2.04 (P1(f3(f4(a1,a8),f3(a1,a1)))),
% 1.93/2.04 inference(scs_inference,[],[27,94,420,411,211,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60])).
% 1.93/2.04 cnf(598,plain,
% 1.93/2.04 (P1(f2(a10,a9))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,420,411,211,308,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16])).
% 1.93/2.04 cnf(599,plain,
% 1.93/2.04 (~P2(a8,f7(f3(a1,a1),f5(f3(a1,a1),f3(a1,a1))))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,519,420,411,211,308,328,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18])).
% 1.93/2.04 cnf(602,plain,
% 1.93/2.04 (E(a1,f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,519,448,343,420,411,211,308,328,207,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18,17,3,2])).
% 1.93/2.04 cnf(603,plain,
% 1.93/2.04 (P1(f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,519,448,343,420,411,211,308,328,207,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18,17,3,2,118])).
% 1.93/2.04 cnf(610,plain,
% 1.93/2.04 (E(f7(x6101,f4(a1,a8)),f7(x6101,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,548,519,448,343,420,411,211,308,328,207,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18,17,3,2,118,126,124,45,9])).
% 1.93/2.04 cnf(611,plain,
% 1.93/2.04 (E(f3(x6111,f4(a1,a8)),f3(x6111,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,548,519,448,343,420,411,211,308,328,207,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18,17,3,2,118,126,124,45,9,7])).
% 1.93/2.04 cnf(613,plain,
% 1.93/2.04 (P2(f4(a1,a8),a8)),
% 1.93/2.04 inference(scs_inference,[],[27,94,89,548,519,448,343,420,411,425,211,308,328,207,174,376,212,24,23,15,14,13,8,6,4,53,49,68,56,81,80,47,60,71,88,87,16,18,17,3,2,118,126,124,45,9,7,5,52])).
% 1.93/2.04 cnf(633,plain,
% 1.93/2.04 (P1(f3(f7(a1,a1),f4(a1,a8)))),
% 1.93/2.04 inference(scs_inference,[],[611,245])).
% 1.93/2.04 cnf(637,plain,
% 1.93/2.04 (P3(a1,a1)),
% 1.93/2.04 inference(scs_inference,[],[611,602,358,24,23,245,21,57])).
% 1.93/2.04 cnf(638,plain,
% 1.93/2.04 (~P1(x6381)+~E(x6381,f4(x6382,x6383))+P3(x6382,x6381)+~P1(x6383)+~P1(x6382)),
% 1.93/2.04 inference(rename_variables,[],[57])).
% 1.93/2.04 cnf(639,plain,
% 1.93/2.04 (E(f4(x6391,a12),f4(x6391,f2(a10,a9)))),
% 1.93/2.04 inference(scs_inference,[],[89,611,602,358,24,23,245,21,57,11])).
% 1.93/2.04 cnf(647,plain,
% 1.93/2.04 (~E(f7(f3(a1,a1),f5(f3(a1,a1),f3(a1,a1))),a8)),
% 1.93/2.04 inference(scs_inference,[],[27,89,576,611,599,602,409,358,548,422,428,314,24,23,245,21,57,11,22,53,48,56,46])).
% 1.93/2.04 cnf(659,plain,
% 1.93/2.04 (~E(f4(f7(a9,a9),f7(a9,a9)),f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[27,92,89,94,576,590,304,574,611,578,599,580,602,409,358,483,548,519,422,428,229,314,212,24,23,245,21,57,11,22,53,48,56,46,52,74,47,16,17,18,3])).
% 1.93/2.04 cnf(661,plain,
% 1.93/2.04 (P3(a1,f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,92,89,94,576,590,304,574,611,527,578,599,580,602,409,358,483,548,519,422,428,229,314,212,24,23,245,21,57,11,22,53,48,56,46,52,74,47,16,17,18,3,2,82])).
% 1.93/2.04 cnf(665,plain,
% 1.93/2.04 (E(f7(f3(a1,a1),f5(f3(a1,a1),f3(a1,a1))),a1)),
% 1.93/2.04 inference(scs_inference,[],[27,92,89,94,576,590,304,574,611,527,578,599,580,602,409,358,483,548,519,422,428,229,314,212,24,23,245,21,57,11,22,53,48,56,46,52,74,47,16,17,18,3,2,82,638,45])).
% 1.93/2.04 cnf(670,plain,
% 1.93/2.04 (P2(f4(a1,a8),f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,92,89,94,576,590,603,304,573,574,611,527,578,599,580,602,495,409,358,483,548,519,422,428,229,314,122,212,24,23,245,21,57,11,22,53,48,56,46,52,74,47,16,17,18,3,2,82,638,45,70,20,58])).
% 1.93/2.04 cnf(673,plain,
% 1.93/2.04 (P1(f6(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[27,92,89,94,576,590,603,304,573,574,611,527,578,599,580,602,495,409,358,483,548,519,422,428,229,314,122,212,24,23,245,21,57,11,22,53,48,56,46,52,74,47,16,17,18,3,2,82,638,45,70,20,58,287])).
% 1.93/2.04 cnf(688,plain,
% 1.93/2.04 (P1(f4(f6(a1,a1),f6(a1,a1)))),
% 1.93/2.04 inference(scs_inference,[],[673,54])).
% 1.93/2.04 cnf(690,plain,
% 1.93/2.04 (P3(f4(a1,a8),f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[661,673,602,54,19])).
% 1.93/2.04 cnf(695,plain,
% 1.93/2.04 (~E(f7(f7(a9,a9),f7(a9,a9)),a1)),
% 1.93/2.04 inference(scs_inference,[],[661,673,495,603,432,602,425,420,411,25,24,54,19,70,46,47])).
% 1.93/2.04 cnf(703,plain,
% 1.93/2.04 (E(a1,f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[96,36,262,665,570,316,661,673,495,603,483,432,602,425,420,411,211,212,25,24,23,54,19,70,46,47,74,17,18,3,2])).
% 1.93/2.04 cnf(725,plain,
% 1.93/2.04 (P4(f7(a1,a1),a8)),
% 1.93/2.04 inference(scs_inference,[],[36,703,445,358,25,23,64,21])).
% 1.93/2.04 cnf(731,plain,
% 1.93/2.04 (~P2(f7(a8,f4(a1,a8)),f4(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[36,610,703,633,445,447,611,665,358,259,483,212,25,23,64,21,46,47,17])).
% 1.93/2.04 cnf(733,plain,
% 1.93/2.04 (P2(f4(a1,a8),a1)),
% 1.93/2.04 inference(scs_inference,[],[96,36,670,610,703,633,445,447,611,665,358,259,483,212,25,23,64,21,46,47,17,18])).
% 1.93/2.04 cnf(734,plain,
% 1.93/2.04 (E(f4(a1,a8),f7(a1,a1))),
% 1.93/2.04 inference(scs_inference,[],[96,36,94,670,610,703,633,445,447,611,665,358,259,483,212,25,23,64,21,46,47,17,18,3])).
% 1.93/2.04 cnf(753,plain,
% 1.93/2.04 (P1(f7(f4(a11,a11),f4(a11,a11)))),
% 1.93/2.04 inference(scs_inference,[],[96,36,94,659,670,688,610,703,633,445,447,611,665,358,259,483,422,428,212,25,23,64,21,46,47,17,18,3,2,41,43,38,42,44,40,39,10,45,53])).
% 1.93/2.04 cnf(774,plain,
% 1.93/2.04 (P3(f4(a1,a8),f7(f7(a1,a1),f7(a1,a1)))),
% 1.93/2.04 inference(scs_inference,[],[690,603,420,411,122,23,65,82])).
% 1.93/2.04 cnf(776,plain,
% 1.93/2.04 (~P1(f4(a9,a14))),
% 1.93/2.04 inference(scs_inference,[],[690,427,201,432,603,420,411,122,27,23,65,82,64])).
% 1.93/2.04 cnf(778,plain,
% 1.93/2.04 (E(f2(a10,a9),f2(f4(a9,a12),a9))),
% 1.93/2.04 inference(scs_inference,[],[690,427,639,495,201,432,598,603,420,411,122,368,27,25,23,65,82,64,75])).
% 1.93/2.04 cnf(781,plain,
% 1.93/2.04 (~P1(a14)),
% 1.93/2.04 inference(scs_inference,[],[690,427,639,495,201,432,598,603,420,411,122,368,27,25,23,65,82,64,75,54])).
% 1.93/2.04 cnf(785,plain,
% 1.93/2.04 (P4(f7(a1,a1),f3(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[690,427,725,647,639,362,495,201,432,598,314,603,420,411,122,368,212,27,25,24,23,65,82,64,75,54,68,22])).
% 1.93/2.04 cnf(786,plain,
% 1.93/2.04 (P1(f7(f6(a9,a10),f6(a9,a10)))),
% 1.93/2.04 inference(scs_inference,[],[690,427,725,647,173,639,362,495,201,432,598,314,603,420,411,122,368,212,27,25,24,23,65,82,64,75,54,68,22,53])).
% 1.93/2.04 cnf(788,plain,
% 1.93/2.04 (P2(f2(a10,a9),a12)),
% 1.93/2.04 inference(scs_inference,[],[89,690,427,725,647,173,639,362,495,201,432,598,314,603,420,411,122,368,376,212,27,25,24,23,65,82,64,75,54,68,22,53,46])).
% 1.93/2.04 cnf(796,plain,
% 1.93/2.04 (E(a1,f4(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[98,92,89,96,753,690,427,260,695,725,647,173,639,448,362,495,201,432,598,314,603,420,411,122,368,376,212,27,25,24,23,65,82,64,75,54,68,22,53,46,47,16,17,18,3,2])).
% 1.93/2.04 cnf(803,plain,
% 1.93/2.04 (P1(f4(a8,a1))),
% 1.93/2.04 inference(scs_inference,[],[98,92,89,96,753,690,427,260,695,725,647,173,639,448,362,703,495,201,432,598,314,603,420,411,122,368,376,212,27,25,24,23,65,82,64,75,54,68,22,53,46,47,16,17,18,3,2,245,126,124,118])).
% 1.93/2.04 cnf(809,plain,
% 1.93/2.04 (P2(f4(a1,a8),f4(a1,a8))),
% 1.93/2.04 inference(scs_inference,[],[29,98,92,89,96,753,690,427,575,260,695,725,733,270,647,173,639,448,362,703,495,201,432,598,314,603,420,411,122,368,376,212,27,25,24,23,65,82,64,75,54,68,22,53,46,47,16,17,18,3,2,245,126,124,118,14,13,69,72])).
% 1.93/2.04 cnf(851,plain,
% 1.93/2.04 (~P1(a13)),
% 1.93/2.04 inference(scs_inference,[],[30,786,774,734,809,803,776,781,244,310,174,603,376,24,65,118,52,54,62,19,60])).
% 1.93/2.04 cnf(857,plain,
% 1.93/2.04 (~P2(f7(a8,f4(a1,a8)),a1)),
% 1.93/2.04 inference(scs_inference,[],[30,90,786,774,734,809,803,731,776,778,796,781,244,310,321,174,603,376,24,65,118,52,54,62,19,60,46,16,17,18])).
% 1.93/2.04 cnf(900,plain,
% 1.93/2.04 (~P1(f7(a10,a11))),
% 1.93/2.04 inference(scs_inference,[],[98,100,91,89,96,32,33,785,637,857,788,851,613,181,574,285,796,322,314,420,411,603,368,25,24,23,11,54,62,71,60,19,16,17,18,3,2,67,118,45,21,61])).
% 1.93/2.04 cnf(1035,plain,
% 1.93/2.04 ($false),
% 1.93/2.04 inference(scs_inference,[],[781,900,310,174,27,26,24,245,64,53]),
% 1.93/2.04 ['proof']).
% 1.93/2.04 % SZS output end Proof
% 1.93/2.04 % Total time :1.380000s
%------------------------------------------------------------------------------