TSTP Solution File: NUM521+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM521+1 : 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 : n015.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 10:22:49 EDT 2023
% Result : Theorem 1.53s 1.59s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 25 16:44:52 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 1.49/1.57 %-------------------------------------------
% 1.49/1.57 % File :CSE---1.6
% 1.49/1.57 % Problem :theBenchmark
% 1.49/1.57 % Transform :cnf
% 1.49/1.57 % Format :tptp:raw
% 1.49/1.57 % Command :java -jar mcs_scs.jar %d %s
% 1.49/1.57
% 1.49/1.57 % Result :Theorem 0.920000s
% 1.49/1.57 % Output :CNFRefutation 0.920000s
% 1.49/1.57 %-------------------------------------------
% 1.53/1.58 %------------------------------------------------------------------------------
% 1.53/1.58 % File : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% 1.53/1.58 % Domain : Number Theory
% 1.53/1.58 % Problem : Square root of a prime is irrational 14_04, 00 expansion
% 1.53/1.58 % Version : Especial.
% 1.53/1.58 % English :
% 1.53/1.58
% 1.53/1.58 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 1.53/1.58 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.53/1.58 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.53/1.58 % Source : [Pas08]
% 1.53/1.58 % Names : primes_14_04.00 [Pas08]
% 1.53/1.58
% 1.53/1.58 % Status : ContradictoryAxioms
% 1.53/1.58 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.43 v7.3.0, 0.00 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.33 v4.1.0, 0.39 v4.0.1, 0.74 v4.0.0
% 1.53/1.58 % Syntax : Number of formulae : 45 ( 3 unt; 5 def)
% 1.53/1.58 % Number of atoms : 204 ( 58 equ)
% 1.53/1.58 % Maximal formula atoms : 10 ( 4 avg)
% 1.53/1.58 % Number of connectives : 184 ( 25 ~; 9 |; 83 &)
% 1.53/1.58 % ( 5 <=>; 62 =>; 0 <=; 0 <~>)
% 1.53/1.58 % Maximal formula depth : 11 ( 6 avg)
% 1.53/1.58 % Maximal term depth : 3 ( 1 avg)
% 1.53/1.58 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 1.53/1.58 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 1.53/1.58 % Number of variables : 85 ( 82 !; 3 ?)
% 1.53/1.58 % SPC : FOF_CAX_RFO_SEQ
% 1.53/1.58
% 1.53/1.58 % Comments : Problem generated by the SAD system [VLP07]
% 1.53/1.58 %------------------------------------------------------------------------------
% 1.53/1.58 fof(mNatSort,axiom,
% 1.53/1.58 ! [W0] :
% 1.53/1.58 ( aNaturalNumber0(W0)
% 1.53/1.58 => $true ) ).
% 1.53/1.58
% 1.53/1.58 fof(mSortsC,axiom,
% 1.53/1.58 aNaturalNumber0(sz00) ).
% 1.53/1.58
% 1.53/1.58 fof(mSortsC_01,axiom,
% 1.53/1.58 ( aNaturalNumber0(sz10)
% 1.53/1.58 & sz10 != sz00 ) ).
% 1.53/1.58
% 1.53/1.58 fof(mSortsB,axiom,
% 1.53/1.58 ! [W0,W1] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1) )
% 1.53/1.58 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mSortsB_02,axiom,
% 1.53/1.58 ! [W0,W1] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1) )
% 1.53/1.58 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mAddComm,axiom,
% 1.53/1.58 ! [W0,W1] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1) )
% 1.53/1.58 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mAddAsso,axiom,
% 1.53/1.58 ! [W0,W1,W2] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1)
% 1.53/1.58 & aNaturalNumber0(W2) )
% 1.53/1.58 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 1.53/1.58
% 1.53/1.58 fof(m_AddZero,axiom,
% 1.53/1.58 ! [W0] :
% 1.53/1.58 ( aNaturalNumber0(W0)
% 1.53/1.58 => ( sdtpldt0(W0,sz00) = W0
% 1.53/1.58 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mMulComm,axiom,
% 1.53/1.58 ! [W0,W1] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1) )
% 1.53/1.58 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mMulAsso,axiom,
% 1.53/1.58 ! [W0,W1,W2] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1)
% 1.53/1.58 & aNaturalNumber0(W2) )
% 1.53/1.58 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 1.53/1.58
% 1.53/1.58 fof(m_MulUnit,axiom,
% 1.53/1.58 ! [W0] :
% 1.53/1.58 ( aNaturalNumber0(W0)
% 1.53/1.58 => ( sdtasdt0(W0,sz10) = W0
% 1.53/1.58 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 1.53/1.58
% 1.53/1.58 fof(m_MulZero,axiom,
% 1.53/1.58 ! [W0] :
% 1.53/1.58 ( aNaturalNumber0(W0)
% 1.53/1.58 => ( sdtasdt0(W0,sz00) = sz00
% 1.53/1.58 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mAMDistr,axiom,
% 1.53/1.58 ! [W0,W1,W2] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1)
% 1.53/1.58 & aNaturalNumber0(W2) )
% 1.53/1.58 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.53/1.58 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 1.53/1.58
% 1.53/1.58 fof(mAddCanc,axiom,
% 1.53/1.58 ! [W0,W1,W2] :
% 1.53/1.58 ( ( aNaturalNumber0(W0)
% 1.53/1.58 & aNaturalNumber0(W1)
% 1.53/1.58 & aNaturalNumber0(W2) )
% 1.53/1.58 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 1.53/1.58 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 1.53/1.58 => W1 = W2 ) ) ).
% 1.53/1.58
% 1.53/1.59 fof(mMulCanc,axiom,
% 1.53/1.59 ! [W0] :
% 1.53/1.59 ( aNaturalNumber0(W0)
% 1.53/1.59 => ( W0 != sz00
% 1.53/1.59 => ! [W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 1.53/1.59 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 1.53/1.59 => W1 = W2 ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mZeroAdd,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( sdtpldt0(W0,W1) = sz00
% 1.53/1.59 => ( W0 = sz00
% 1.53/1.59 & W1 = sz00 ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mZeroMul,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( sdtasdt0(W0,W1) = sz00
% 1.53/1.59 => ( W0 = sz00
% 1.53/1.59 | W1 = sz00 ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDefLE,definition,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( sdtlseqdt0(W0,W1)
% 1.53/1.59 <=> ? [W2] :
% 1.53/1.59 ( aNaturalNumber0(W2)
% 1.53/1.59 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDefDiff,definition,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( sdtlseqdt0(W0,W1)
% 1.53/1.59 => ! [W2] :
% 1.53/1.59 ( W2 = sdtmndt0(W1,W0)
% 1.53/1.59 <=> ( aNaturalNumber0(W2)
% 1.53/1.59 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mLERefl,axiom,
% 1.53/1.59 ! [W0] :
% 1.53/1.59 ( aNaturalNumber0(W0)
% 1.53/1.59 => sdtlseqdt0(W0,W0) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mLEAsym,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( sdtlseqdt0(W0,W1)
% 1.53/1.59 & sdtlseqdt0(W1,W0) )
% 1.53/1.59 => W0 = W1 ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mLETran,axiom,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( sdtlseqdt0(W0,W1)
% 1.53/1.59 & sdtlseqdt0(W1,W2) )
% 1.53/1.59 => sdtlseqdt0(W0,W2) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mLETotal,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( sdtlseqdt0(W0,W1)
% 1.53/1.59 | ( W1 != W0
% 1.53/1.59 & sdtlseqdt0(W1,W0) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mMonAdd,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( W0 != W1
% 1.53/1.59 & sdtlseqdt0(W0,W1) )
% 1.53/1.59 => ! [W2] :
% 1.53/1.59 ( aNaturalNumber0(W2)
% 1.53/1.59 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 1.53/1.59 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 1.53/1.59 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 1.53/1.59 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mMonMul,axiom,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( W0 != sz00
% 1.53/1.59 & W1 != W2
% 1.53/1.59 & sdtlseqdt0(W1,W2) )
% 1.53/1.59 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 1.53/1.59 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.53/1.59 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 1.53/1.59 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mLENTr,axiom,
% 1.53/1.59 ! [W0] :
% 1.53/1.59 ( aNaturalNumber0(W0)
% 1.53/1.59 => ( W0 = sz00
% 1.53/1.59 | W0 = sz10
% 1.53/1.59 | ( sz10 != W0
% 1.53/1.59 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mMonMul2,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( W0 != sz00
% 1.53/1.59 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mIH,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( iLess0(W0,W1)
% 1.53/1.59 => $true ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mIH_03,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( W0 != W1
% 1.53/1.59 & sdtlseqdt0(W0,W1) )
% 1.53/1.59 => iLess0(W0,W1) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDefDiv,definition,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( doDivides0(W0,W1)
% 1.53/1.59 <=> ? [W2] :
% 1.53/1.59 ( aNaturalNumber0(W2)
% 1.53/1.59 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDefQuot,definition,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( W0 != sz00
% 1.53/1.59 & doDivides0(W0,W1) )
% 1.53/1.59 => ! [W2] :
% 1.53/1.59 ( W2 = sdtsldt0(W1,W0)
% 1.53/1.59 <=> ( aNaturalNumber0(W2)
% 1.53/1.59 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDivTrans,axiom,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( doDivides0(W0,W1)
% 1.53/1.59 & doDivides0(W1,W2) )
% 1.53/1.59 => doDivides0(W0,W2) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDivSum,axiom,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( doDivides0(W0,W1)
% 1.53/1.59 & doDivides0(W0,W2) )
% 1.53/1.59 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDivMin,axiom,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( doDivides0(W0,W1)
% 1.53/1.59 & doDivides0(W0,sdtpldt0(W1,W2)) )
% 1.53/1.59 => doDivides0(W0,W2) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDivLE,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( doDivides0(W0,W1)
% 1.53/1.59 & W1 != sz00 )
% 1.53/1.59 => sdtlseqdt0(W0,W1) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDivAsso,axiom,
% 1.53/1.59 ! [W0,W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1) )
% 1.53/1.59 => ( ( W0 != sz00
% 1.53/1.59 & doDivides0(W0,W1) )
% 1.53/1.59 => ! [W2] :
% 1.53/1.59 ( aNaturalNumber0(W2)
% 1.53/1.59 => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mDefPrime,definition,
% 1.53/1.59 ! [W0] :
% 1.53/1.59 ( aNaturalNumber0(W0)
% 1.53/1.59 => ( isPrime0(W0)
% 1.53/1.59 <=> ( W0 != sz00
% 1.53/1.59 & W0 != sz10
% 1.53/1.59 & ! [W1] :
% 1.53/1.59 ( ( aNaturalNumber0(W1)
% 1.53/1.59 & doDivides0(W1,W0) )
% 1.53/1.59 => ( W1 = sz10
% 1.53/1.59 | W1 = W0 ) ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(mPrimDiv,axiom,
% 1.53/1.59 ! [W0] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & W0 != sz00
% 1.53/1.59 & W0 != sz10 )
% 1.53/1.59 => ? [W1] :
% 1.53/1.59 ( aNaturalNumber0(W1)
% 1.53/1.59 & doDivides0(W1,W0)
% 1.53/1.59 & isPrime0(W1) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(m__1837,hypothesis,
% 1.53/1.59 ( aNaturalNumber0(xn)
% 1.53/1.59 & aNaturalNumber0(xm)
% 1.53/1.59 & aNaturalNumber0(xp) ) ).
% 1.53/1.59
% 1.53/1.59 fof(m__1799,hypothesis,
% 1.53/1.59 ! [W0,W1,W2] :
% 1.53/1.59 ( ( aNaturalNumber0(W0)
% 1.53/1.59 & aNaturalNumber0(W1)
% 1.53/1.59 & aNaturalNumber0(W2) )
% 1.53/1.59 => ( ( isPrime0(W2)
% 1.53/1.59 & doDivides0(W2,sdtasdt0(W0,W1)) )
% 1.53/1.59 => ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
% 1.53/1.59 => ( doDivides0(W2,W0)
% 1.53/1.59 | doDivides0(W2,W1) ) ) ) ) ).
% 1.53/1.59
% 1.53/1.59 fof(m__1860,hypothesis,
% 1.53/1.59 ( isPrime0(xp)
% 1.53/1.59 & doDivides0(xp,sdtasdt0(xn,xm)) ) ).
% 1.53/1.59
% 1.53/1.59 fof(m__1870,hypothesis,
% 1.53/1.59 ~ sdtlseqdt0(xp,xn) ).
% 1.53/1.59
% 1.53/1.59 fof(m__2075,hypothesis,
% 1.53/1.59 ~ sdtlseqdt0(xp,xm) ).
% 1.53/1.59
% 1.53/1.59 fof(m__2287,hypothesis,
% 1.53/1.59 ~ ( xn != xp
% 1.53/1.59 & sdtlseqdt0(xn,xp)
% 1.53/1.59 & xm != xp
% 1.53/1.59 & sdtlseqdt0(xm,xp) ) ).
% 1.53/1.59
% 1.53/1.59 fof(m__,conjecture,
% 1.53/1.59 ( doDivides0(xp,xn)
% 1.53/1.59 | doDivides0(xp,xm) ) ).
% 1.53/1.59
% 1.53/1.59 %------------------------------------------------------------------------------
% 1.53/1.59 %-------------------------------------------
% 1.53/1.59 % Proof found
% 1.53/1.59 % SZS status Theorem for theBenchmark
% 1.53/1.59 % SZS output start Proof
% 1.53/1.59 %ClaNum:103(EqnAxiom:25)
% 1.53/1.59 %VarNum:440(SingletonVarNum:131)
% 1.53/1.59 %MaxLitNum:8
% 1.53/1.59 %MaxfuncDepth:2
% 1.53/1.59 %SharedTerms:24
% 1.53/1.59 %goalClause: 36 37
% 1.53/1.59 %singleGoalClaCount:2
% 1.53/1.59 [26]P1(a1)
% 1.53/1.60 [27]P1(a10)
% 1.53/1.60 [28]P1(a11)
% 1.53/1.60 [29]P1(a12)
% 1.53/1.60 [30]P1(a13)
% 1.53/1.60 [31]P2(a13)
% 1.53/1.60 [33]~E(a1,a10)
% 1.53/1.60 [34]~P5(a13,a11)
% 1.53/1.60 [35]~P5(a13,a12)
% 1.53/1.60 [36]~P3(a13,a11)
% 1.53/1.60 [37]~P3(a13,a12)
% 1.53/1.60 [32]P3(a13,f2(a11,a12))
% 1.53/1.60 [48]~P1(x481)+P5(x481,x481)
% 1.53/1.60 [40]~P1(x401)+E(f2(a1,x401),a1)
% 1.53/1.60 [41]~P1(x411)+E(f2(x411,a1),a1)
% 1.53/1.60 [42]~P1(x421)+E(f7(a1,x421),x421)
% 1.53/1.60 [43]~P1(x431)+E(f2(a10,x431),x431)
% 1.53/1.60 [44]~P1(x441)+E(f7(x441,a1),x441)
% 1.53/1.60 [45]~P1(x451)+E(f2(x451,a10),x451)
% 1.53/1.60 [38]~P1(x381)+~P2(x381)+~E(x381,a1)
% 1.53/1.60 [39]~P1(x391)+~P2(x391)+~E(x391,a10)
% 1.53/1.60 [60]~P1(x602)+~P1(x601)+E(f7(x601,x602),f7(x602,x601))
% 1.53/1.60 [61]~P1(x612)+~P1(x611)+E(f2(x611,x612),f2(x612,x611))
% 1.53/1.60 [63]~P1(x632)+~P1(x631)+P1(f7(x631,x632))
% 1.53/1.60 [64]~P1(x642)+~P1(x641)+P1(f2(x641,x642))
% 1.53/1.60 [56]E(a13,a11)+E(a13,a12)+~P5(a11,a13)+~P5(a12,a13)
% 1.53/1.60 [50]~P1(x501)+E(x501,a10)+P5(a10,x501)+E(x501,a1)
% 1.53/1.60 [46]~P1(x461)+E(x461,a10)+E(x461,a1)+P1(f3(x461))
% 1.53/1.60 [47]~P1(x471)+E(x471,a10)+E(x471,a1)+P2(f3(x471))
% 1.53/1.60 [53]~P1(x531)+E(x531,a10)+P3(f3(x531),x531)+E(x531,a1)
% 1.53/1.60 [54]~E(x542,x541)+~P1(x541)+~P1(x542)+P5(x541,x542)
% 1.53/1.60 [62]P5(x622,x621)+~P1(x621)+~P1(x622)+P5(x621,x622)
% 1.53/1.60 [57]~P1(x572)+~P1(x571)+E(x571,a1)+~E(f7(x572,x571),a1)
% 1.53/1.60 [58]~P1(x582)+~P1(x581)+E(x581,a1)+~E(f7(x581,x582),a1)
% 1.53/1.60 [68]~P1(x682)+~P1(x681)+P5(x682,f2(x682,x681))+E(x681,a1)
% 1.53/1.60 [74]~P1(x742)+~P1(x741)+~P5(x741,x742)+P1(f5(x741,x742))
% 1.53/1.60 [75]~P1(x752)+~P1(x751)+~P3(x751,x752)+P1(f6(x751,x752))
% 1.53/1.60 [82]~P1(x821)+~P1(x822)+~P3(x821,x822)+E(f2(x821,f6(x821,x822)),x822)
% 1.53/1.60 [83]~P1(x832)+~P1(x831)+~P5(x831,x832)+E(f7(x831,f5(x831,x832)),x832)
% 1.53/1.60 [92]~P1(x923)+~P1(x922)+~P1(x921)+E(f7(f7(x921,x922),x923),f7(x921,f7(x922,x923)))
% 1.53/1.60 [93]~P1(x933)+~P1(x932)+~P1(x931)+E(f2(f2(x931,x932),x933),f2(x931,f2(x932,x933)))
% 1.53/1.60 [101]~P1(x1013)+~P1(x1012)+~P1(x1011)+E(f7(f2(x1011,x1012),f2(x1011,x1013)),f2(x1011,f7(x1012,x1013)))
% 1.53/1.60 [102]~P1(x1022)+~P1(x1023)+~P1(x1021)+E(f7(f2(x1021,x1022),f2(x1023,x1022)),f2(f7(x1021,x1023),x1022))
% 1.53/1.60 [49]P2(x491)+~P1(x491)+E(x491,a10)+E(x491,a1)+~E(f4(x491),a10)
% 1.53/1.60 [51]P2(x511)+~P1(x511)+E(x511,a10)+~E(f4(x511),x511)+E(x511,a1)
% 1.53/1.60 [52]P2(x521)+~P1(x521)+E(x521,a10)+E(x521,a1)+P1(f4(x521))
% 1.53/1.60 [55]P2(x551)+~P1(x551)+E(x551,a10)+P3(f4(x551),x551)+E(x551,a1)
% 1.53/1.60 [66]~P1(x661)+~P1(x662)+~P3(x662,x661)+P5(x662,x661)+E(x661,a1)
% 1.53/1.60 [67]P4(x671,x672)+~P1(x672)+~P1(x671)+~P5(x671,x672)+E(x671,x672)
% 1.53/1.60 [71]~P1(x712)+~P1(x711)+~P5(x712,x711)+~P5(x711,x712)+E(x711,x712)
% 1.53/1.60 [59]~P1(x591)+~P1(x592)+E(x591,a1)+E(x592,a1)+~E(f2(x592,x591),a1)
% 1.53/1.60 [69]~P1(x691)+~P1(x692)+~P1(x693)+P3(x691,x692)+~E(x692,f2(x691,x693))
% 1.53/1.60 [70]~P1(x702)+~P1(x701)+~P1(x703)+P5(x701,x702)+~E(f7(x701,x703),x702)
% 1.53/1.60 [72]~P1(x723)+~P1(x722)+~P5(x723,x722)+P1(x721)+~E(x721,f8(x722,x723))
% 1.53/1.60 [76]~P1(x762)+~P1(x761)+~P1(x763)+E(x761,x762)+~E(f7(x763,x761),f7(x763,x762))
% 1.53/1.60 [77]~P1(x772)+~P1(x773)+~P1(x771)+E(x771,x772)+~E(f7(x771,x773),f7(x772,x773))
% 1.53/1.60 [80]~P1(x803)+~P1(x801)+~P5(x801,x803)+~E(x802,f8(x803,x801))+E(f7(x801,x802),x803)
% 1.53/1.60 [65]~P1(x652)+~P1(x651)+~P2(x652)+~P3(x651,x652)+E(x651,x652)+E(x651,a10)
% 1.53/1.60 [84]~P1(x842)+~P1(x841)+~P5(x843,x842)+~P5(x841,x843)+P5(x841,x842)+~P1(x843)
% 1.53/1.60 [85]~P1(x852)+~P1(x851)+~P3(x853,x852)+~P3(x851,x853)+P3(x851,x852)+~P1(x853)
% 1.53/1.60 [73]~P1(x731)+~P1(x733)+~P3(x731,x733)+P1(x732)+E(x731,a1)+~E(x732,f9(x733,x731))
% 1.53/1.60 [78]~P1(x782)+~P1(x781)+~P1(x783)+E(x781,x782)+~E(f2(x783,x781),f2(x783,x782))+E(x783,a1)
% 1.53/1.60 [79]~P1(x792)+~P1(x793)+~P1(x791)+E(x791,x792)+~E(f2(x791,x793),f2(x792,x793))+E(x793,a1)
% 1.53/1.60 [81]~P1(x811)+~P1(x812)+~P3(x811,x812)+~E(x813,f9(x812,x811))+E(x811,a1)+E(x812,f2(x811,x813))
% 1.53/1.60 [86]~P1(x862)+~P1(x863)+~P1(x861)+~P5(x863,x862)+~E(f7(x863,x861),x862)+E(x861,f8(x862,x863))
% 1.53/1.60 [94]~P1(x943)+~P1(x942)+~P1(x941)+~P3(x941,x943)+~P3(x941,x942)+P3(x941,f7(x942,x943))
% 1.53/1.60 [95]~P1(x952)+~P1(x951)+~P1(x953)+~P5(x951,x952)+E(x951,x952)+P5(f7(x953,x951),f7(x953,x952))
% 1.53/1.60 [96]~P1(x962)+~P1(x963)+~P1(x961)+~P5(x961,x962)+E(x961,x962)+P5(f7(x961,x963),f7(x962,x963))
% 1.53/1.60 [99]~P1(x992)+~P1(x991)+~P3(x991,x993)+P3(x991,x992)+~P1(x993)+~P3(x991,f7(x993,x992))
% 1.53/1.60 [100]~P1(x1002)+~P1(x1003)+~P1(x1001)+~P3(x1001,x1003)+E(x1001,a1)+E(f9(f2(x1002,x1003),x1001),f2(x1002,f9(x1003,x1001)))
% 1.53/1.60 [87]~P1(x871)+~P1(x873)+~P1(x872)+~P3(x871,x873)+~E(x873,f2(x871,x872))+E(x871,a1)+E(x872,f9(x873,x871))
% 1.53/1.60 [97]~P1(x972)+~P1(x971)+~P1(x973)+~P5(x971,x972)+E(x971,x972)+P5(f2(x973,x971),f2(x973,x972))+E(x973,a1)
% 1.53/1.60 [98]~P1(x982)+~P1(x983)+~P1(x981)+~P5(x981,x982)+E(x981,x982)+P5(f2(x981,x983),f2(x982,x983))+E(x983,a1)
% 1.53/1.60 [103]~P1(x1031)+~P1(x1032)+~P1(x1033)+~P2(x1031)+P3(x1031,x1032)+P3(x1031,x1033)+~P3(x1031,f2(x1033,x1032))+~P4(f7(f7(x1033,x1032),x1031),f7(f7(a11,a12),a13))
% 1.53/1.60 %EqnAxiom
% 1.53/1.60 [1]E(x11,x11)
% 1.53/1.60 [2]E(x22,x21)+~E(x21,x22)
% 1.53/1.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.53/1.60 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 1.53/1.60 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 1.53/1.60 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 1.53/1.60 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 1.53/1.60 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 1.53/1.60 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 1.53/1.60 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103))
% 1.53/1.60 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112))
% 1.53/1.60 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 1.53/1.60 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 1.53/1.60 [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143))
% 1.53/1.60 [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152))
% 1.53/1.60 [16]~E(x161,x162)+E(f4(x161),f4(x162))
% 1.53/1.60 [17]~E(x171,x172)+E(f3(x171),f3(x172))
% 1.53/1.60 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 1.53/1.60 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 1.53/1.60 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 1.53/1.60 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213)
% 1.53/1.60 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221)
% 1.53/1.60 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 1.53/1.60 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 1.53/1.60 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 1.53/1.60
% 1.53/1.60 %-------------------------------------------
% 1.53/1.60 cnf(104,plain,
% 1.53/1.60 (~E(f2(a11,a12),a11)),
% 1.53/1.60 inference(scs_inference,[],[36,32,22])).
% 1.53/1.60 cnf(105,plain,
% 1.53/1.60 (P5(a1,a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,32,22,62])).
% 1.53/1.60 cnf(106,plain,
% 1.53/1.60 (~E(a10,a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,33,32,22,62,2])).
% 1.53/1.60 cnf(107,plain,
% 1.53/1.60 (P5(a10,a10)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,33,32,22,62,2,48])).
% 1.53/1.60 cnf(109,plain,
% 1.53/1.60 (E(f2(a1,a10),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,33,32,22,62,2,48,45])).
% 1.53/1.60 cnf(111,plain,
% 1.53/1.60 (E(f7(a1,a1),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,33,32,22,62,2,48,45,44])).
% 1.53/1.60 cnf(115,plain,
% 1.53/1.60 (E(f7(a1,a10),a10)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,33,32,22,62,2,48,45,44,43,42])).
% 1.53/1.60 cnf(117,plain,
% 1.53/1.60 (E(f2(a1,a1),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,33,32,22,62,2,48,45,44,43,42,41])).
% 1.53/1.60 cnf(127,plain,
% 1.53/1.60 (E(f8(x1271,f2(a1,a10)),f8(x1271,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11])).
% 1.53/1.60 cnf(128,plain,
% 1.53/1.60 (E(f8(f2(a1,a10),x1281),f8(a1,x1281))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10])).
% 1.53/1.60 cnf(130,plain,
% 1.53/1.60 (E(f9(f2(a1,a10),x1301),f9(a1,x1301))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8])).
% 1.53/1.60 cnf(131,plain,
% 1.53/1.60 (E(f7(x1311,f2(a1,a10)),f7(x1311,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7])).
% 1.53/1.60 cnf(132,plain,
% 1.53/1.60 (E(f7(f2(a1,a10),x1321),f7(a1,x1321))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.53/1.60 cnf(133,plain,
% 1.53/1.60 (E(f2(x1331,f2(a1,a10)),f2(x1331,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.53/1.60 cnf(134,plain,
% 1.53/1.60 (E(f2(f2(a1,a10),x1341),f2(a1,x1341))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.53/1.60 cnf(135,plain,
% 1.53/1.60 (~P5(a13,x1351)+~E(x1351,a11)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25])).
% 1.53/1.60 cnf(137,plain,
% 1.53/1.60 (~E(a13,a10)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39])).
% 1.53/1.60 cnf(139,plain,
% 1.53/1.60 (~E(a13,a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38])).
% 1.53/1.60 cnf(141,plain,
% 1.53/1.60 (P1(f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64])).
% 1.53/1.60 cnf(143,plain,
% 1.53/1.60 (P1(f7(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63])).
% 1.53/1.60 cnf(145,plain,
% 1.53/1.60 (~E(a11,a13)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54])).
% 1.53/1.60 cnf(147,plain,
% 1.53/1.60 (P5(a1,f2(a1,a10))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68])).
% 1.53/1.60 cnf(151,plain,
% 1.53/1.60 (~E(f7(a1,a10),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57])).
% 1.53/1.60 cnf(153,plain,
% 1.53/1.60 (P1(f5(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74])).
% 1.53/1.60 cnf(155,plain,
% 1.53/1.60 (P2(f3(a13))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47])).
% 1.53/1.60 cnf(157,plain,
% 1.53/1.60 (P1(f3(a13))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46])).
% 1.53/1.60 cnf(163,plain,
% 1.53/1.60 (E(f7(a1,f5(a1,a1)),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83])).
% 1.53/1.60 cnf(167,plain,
% 1.53/1.60 (E(f7(f2(a1,a1),f2(a1,a1)),f2(a1,f7(a1,a1)))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101])).
% 1.53/1.60 cnf(173,plain,
% 1.53/1.60 (P1(f8(a1,f2(a1,a10)))),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72])).
% 1.53/1.60 cnf(175,plain,
% 1.53/1.60 (~E(f2(a10,a10),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59])).
% 1.53/1.60 cnf(181,plain,
% 1.53/1.60 (E(f7(a1,f8(a1,f2(a1,a10))),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,26,27,28,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59,77,76,80])).
% 1.53/1.60 cnf(189,plain,
% 1.53/1.60 (~P5(f2(a1,a10),x1891)+P5(a1,x1891)),
% 1.53/1.60 inference(scs_inference,[],[36,37,26,27,28,29,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59,77,76,80,79,78,103,24])).
% 1.53/1.60 cnf(190,plain,
% 1.53/1.60 (~P3(f2(a1,a10),x1901)+P3(a1,x1901)),
% 1.53/1.60 inference(scs_inference,[],[36,37,26,27,28,29,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59,77,76,80,79,78,103,24,21])).
% 1.53/1.60 cnf(199,plain,
% 1.53/1.60 (~P3(a1,a1)+P4(a1,a1)+E(f2(a1,f6(a1,a1)),a1)),
% 1.53/1.60 inference(scs_inference,[],[36,37,26,27,28,29,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59,77,76,80,79,78,103,24,21,20,19,50,75,53,82])).
% 1.53/1.60 cnf(203,plain,
% 1.53/1.60 (E(a1,f2(a1,a10))+~P1(f2(a1,a10))+~P5(f2(a1,a10),a10)+P4(a1,a1)),
% 1.53/1.60 inference(scs_inference,[],[36,37,26,27,28,29,30,31,33,34,32,22,62,2,48,45,44,43,42,41,40,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,3,39,38,64,63,54,68,58,57,74,47,46,93,92,83,102,101,70,69,72,59,77,76,80,79,78,103,24,21,20,19,50,75,53,82,71,67])).
% 1.53/1.60 cnf(208,plain,
% 1.53/1.60 (P1(f8(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[127,173,18])).
% 1.53/1.60 cnf(212,plain,
% 1.53/1.60 (P1(f7(a12,a12))),
% 1.53/1.60 inference(scs_inference,[],[29,127,173,18,64,63])).
% 1.53/1.60 cnf(214,plain,
% 1.53/1.60 (P5(a12,a13)),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,127,173,18,64,63,62])).
% 1.53/1.60 cnf(216,plain,
% 1.53/1.60 (P5(a10,a13)),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,127,173,137,139,18,64,63,62,50])).
% 1.53/1.60 cnf(218,plain,
% 1.53/1.60 (P5(a13,f2(a13,a13))),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,127,173,137,139,18,64,63,62,50,68])).
% 1.53/1.60 cnf(222,plain,
% 1.53/1.60 (~E(f7(a10,a10),a1)),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,27,127,173,106,137,139,18,64,63,62,50,68,58,57])).
% 1.53/1.60 cnf(224,plain,
% 1.53/1.60 (P3(f3(a13),a13)),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,27,127,173,106,137,139,18,64,63,62,50,68,58,57,53])).
% 1.53/1.60 cnf(228,plain,
% 1.53/1.60 (E(f2(f3(a13),f6(f3(a13),a13)),a13)),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,27,127,173,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82])).
% 1.53/1.60 cnf(232,plain,
% 1.53/1.60 (P1(f8(f2(a1,a10),a1))),
% 1.53/1.60 inference(scs_inference,[],[35,29,30,27,26,128,127,105,173,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72])).
% 1.53/1.60 cnf(235,plain,
% 1.53/1.60 (~E(f2(a11,a12),a12)),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,128,127,105,173,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22])).
% 1.53/1.60 cnf(236,plain,
% 1.53/1.60 (E(f2(f2(a1,a10),f2(a1,a10)),f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3])).
% 1.53/1.60 cnf(237,plain,
% 1.53/1.60 (E(f2(f2(a1,a10),x2371),f2(a1,x2371))),
% 1.53/1.60 inference(rename_variables,[],[134])).
% 1.53/1.60 cnf(239,plain,
% 1.53/1.60 (~E(f3(a13),a10)),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,155,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39])).
% 1.53/1.60 cnf(241,plain,
% 1.53/1.60 (~E(a12,a13)),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,155,157,106,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54])).
% 1.53/1.60 cnf(249,plain,
% 1.53/1.60 (E(f7(f2(a12,a12),f2(a12,a12)),f2(f7(a12,a12),a12))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,155,157,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102])).
% 1.53/1.60 cnf(251,plain,
% 1.53/1.60 (P4(a12,a13)),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,155,157,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67])).
% 1.53/1.60 cnf(253,plain,
% 1.53/1.60 (~E(a10,f8(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,134,133,128,127,105,173,155,157,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80])).
% 1.53/1.60 cnf(255,plain,
% 1.53/1.60 (~P2(f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,141,134,133,128,127,105,173,117,155,157,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80,38])).
% 1.53/1.60 cnf(257,plain,
% 1.53/1.60 (E(f2(a1,x2571),f2(f2(a1,a10),x2571))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,141,134,237,133,128,127,105,173,117,155,157,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80,38,2])).
% 1.53/1.60 cnf(258,plain,
% 1.53/1.60 (P5(a1,f2(f2(a1,a10),a10))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,141,134,237,133,128,127,105,173,117,155,157,147,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80,38,2,25])).
% 1.53/1.60 cnf(259,plain,
% 1.53/1.60 (~E(f2(a13,a13),a11)),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,30,27,26,141,134,237,133,128,127,105,173,117,155,157,147,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80,38,2,25,135])).
% 1.53/1.60 cnf(260,plain,
% 1.53/1.60 (~E(a13,f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[35,37,29,32,31,30,27,26,141,134,237,133,128,127,105,173,117,155,157,147,151,106,107,137,139,18,64,63,62,50,68,58,57,53,93,82,101,72,22,3,39,54,74,92,83,102,67,80,38,2,25,135,23])).
% 1.53/1.60 cnf(289,plain,
% 1.53/1.60 (~P5(a11,a13)+E(a13,a12)+E(a13,a11)),
% 1.53/1.60 inference(scs_inference,[],[214,56])).
% 1.53/1.60 cnf(294,plain,
% 1.53/1.60 (E(a1,f8(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[27,30,26,224,208,253,106,111,105,157,75,79,86])).
% 1.53/1.60 cnf(296,plain,
% 1.53/1.60 (P1(f2(f2(a1,a10),a1))),
% 1.53/1.60 inference(scs_inference,[],[27,30,26,257,224,208,253,106,141,111,105,157,75,79,86,18])).
% 1.53/1.60 cnf(297,plain,
% 1.53/1.60 (E(f2(a1,x2971),f2(f2(a1,a10),x2971))),
% 1.53/1.60 inference(rename_variables,[],[257])).
% 1.53/1.60 cnf(298,plain,
% 1.53/1.60 (P5(a11,a13)),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,30,26,257,224,208,253,106,141,111,105,157,75,79,86,18,62])).
% 1.53/1.60 cnf(304,plain,
% 1.53/1.60 (~P2(f2(f2(a1,a10),f2(a1,a10)))),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,257,224,208,253,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23])).
% 1.53/1.60 cnf(314,plain,
% 1.53/1.60 (E(f7(a11,f5(a11,a13)),a13)),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,257,297,224,208,253,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83])).
% 1.53/1.60 cnf(320,plain,
% 1.53/1.60 (E(f5(a1,a1),a1)),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,257,297,224,153,208,253,163,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57])).
% 1.53/1.60 cnf(322,plain,
% 1.53/1.60 (~P2(f7(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,143,257,297,224,153,208,253,163,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38])).
% 1.53/1.60 cnf(325,plain,
% 1.53/1.60 (P1(f5(a11,a13))),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,143,257,297,224,153,208,253,258,163,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74])).
% 1.53/1.60 cnf(328,plain,
% 1.53/1.60 (P5(a1,f8(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[34,28,27,29,30,26,236,255,143,257,297,224,153,208,260,253,258,163,214,241,106,141,111,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74,3,25])).
% 1.53/1.60 cnf(332,plain,
% 1.53/1.60 (~P5(a13,a10)),
% 1.53/1.60 inference(scs_inference,[],[104,34,33,28,27,29,30,26,236,255,143,257,297,224,153,208,216,260,253,258,163,214,241,106,141,111,137,105,157,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74,3,25,2,65,71])).
% 1.53/1.60 cnf(334,plain,
% 1.53/1.60 (P5(f3(a13),a13)),
% 1.53/1.60 inference(scs_inference,[],[104,34,33,28,27,29,30,26,236,255,143,257,297,224,153,208,216,260,253,258,163,214,241,106,141,111,137,105,157,139,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74,3,25,2,65,71,66])).
% 1.53/1.60 cnf(336,plain,
% 1.53/1.60 (P3(a1,f2(f2(a1,a10),a1))),
% 1.53/1.60 inference(scs_inference,[],[104,34,33,28,27,29,30,26,236,255,143,257,297,224,153,208,216,260,253,258,163,214,241,106,141,134,111,137,105,157,139,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74,3,25,2,65,71,66,69])).
% 1.53/1.60 cnf(341,plain,
% 1.53/1.60 (P5(a1,a10)),
% 1.53/1.60 inference(scs_inference,[],[104,34,33,28,27,29,30,26,236,255,143,257,297,224,153,208,216,260,253,258,163,115,214,241,106,141,134,111,137,105,157,139,75,79,86,18,62,78,96,23,54,68,93,92,83,102,101,57,38,24,74,3,25,2,65,71,66,69,94,70])).
% 1.53/1.60 cnf(359,plain,
% 1.53/1.60 (~E(f2(a13,a13),a1)),
% 1.53/1.60 inference(scs_inference,[],[30,139,59])).
% 1.53/1.60 cnf(363,plain,
% 1.53/1.60 (~E(f3(a13),a1)),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,341,155,157,139,59,95,38])).
% 1.53/1.60 cnf(365,plain,
% 1.53/1.60 (E(f8(a1,f2(a1,a10)),a1)),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,341,181,173,155,157,139,59,95,38,57])).
% 1.53/1.60 cnf(367,plain,
% 1.53/1.60 (~P2(f7(f2(a1,a10),a1))),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,322,132,341,181,173,155,157,139,59,95,38,57,23])).
% 1.53/1.60 cnf(368,plain,
% 1.53/1.60 (E(f7(f2(a1,a10),x3681),f7(a1,x3681))),
% 1.53/1.60 inference(rename_variables,[],[132])).
% 1.53/1.60 cnf(369,plain,
% 1.53/1.60 (P3(a1,f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,322,132,336,341,181,173,155,134,157,139,59,95,38,57,23,22])).
% 1.53/1.60 cnf(371,plain,
% 1.53/1.60 (P5(f8(a1,a1),f8(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,322,132,294,328,336,341,181,173,155,134,157,139,59,95,38,57,23,22,24])).
% 1.53/1.60 cnf(372,plain,
% 1.53/1.60 (P3(f8(a1,a1),f2(f2(a1,a10),a1))),
% 1.53/1.60 inference(scs_inference,[],[33,28,27,30,26,322,132,294,328,336,341,181,173,155,134,157,139,59,95,38,57,23,22,24,21])).
% 1.53/1.60 cnf(375,plain,
% 1.53/1.60 (E(f7(a1,x3751),f7(f2(a1,a10),x3751))),
% 1.53/1.60 inference(scs_inference,[],[35,33,28,27,30,26,322,132,368,294,328,336,218,341,181,173,155,134,157,139,59,95,38,57,23,22,24,21,3,25,2])).
% 1.53/1.60 cnf(378,plain,
% 1.53/1.60 (E(f2(a1,f6(a1,f2(a1,a1))),f2(a1,a1))),
% 1.53/1.60 inference(scs_inference,[],[35,33,28,27,30,26,322,132,368,294,328,336,218,341,181,173,155,134,141,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82])).
% 1.53/1.60 cnf(380,plain,
% 1.53/1.60 (E(f3(a13),a13)),
% 1.53/1.60 inference(scs_inference,[],[35,31,33,28,27,30,26,322,132,368,294,328,336,218,341,181,239,173,155,134,141,224,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82,65])).
% 1.53/1.60 cnf(385,plain,
% 1.53/1.60 (P3(a1,f7(f2(a1,a1),f2(a1,a1)))),
% 1.53/1.60 inference(scs_inference,[],[35,31,33,28,27,30,26,322,132,368,294,328,336,218,341,181,239,127,173,155,134,141,224,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82,65,72,94])).
% 1.53/1.60 cnf(389,plain,
% 1.53/1.60 (E(a13,a12)+E(a13,a11)),
% 1.53/1.60 inference(scs_inference,[],[35,31,33,28,27,30,26,322,132,368,294,328,336,218,298,341,181,239,127,173,155,134,141,224,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82,65,72,94,96,289])).
% 1.53/1.60 cnf(394,plain,
% 1.53/1.60 (~P1(f7(a10,a10))+E(f7(a10,a10),a10)+P2(f3(f7(a10,a10)))),
% 1.53/1.60 inference(scs_inference,[],[35,31,33,28,29,27,30,26,322,132,368,249,222,294,212,328,336,218,298,341,181,239,127,173,155,134,208,141,224,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82,65,72,94,96,289,51,87,47])).
% 1.53/1.60 cnf(396,plain,
% 1.53/1.60 (P1(f3(f3(a13)))),
% 1.53/1.60 inference(scs_inference,[],[35,31,33,28,29,27,30,26,322,132,368,249,222,294,212,328,336,218,298,341,181,239,127,173,155,134,208,141,224,157,139,59,95,38,57,23,22,24,21,3,25,2,97,82,65,72,94,96,289,51,87,47,46])).
% 1.53/1.60 cnf(400,plain,
% 1.53/1.60 (~P5(a10,a1)),
% 1.53/1.60 inference(scs_inference,[],[26,33,27,341,71])).
% 1.53/1.60 cnf(404,plain,
% 1.53/1.60 (P2(f3(f3(a13)))),
% 1.53/1.60 inference(scs_inference,[],[26,33,27,363,239,341,157,71,79,47])).
% 1.53/1.60 cnf(406,plain,
% 1.53/1.60 (~P3(a13,a10)),
% 1.53/1.60 inference(scs_inference,[],[26,33,27,30,363,332,239,106,341,157,71,79,47,66])).
% 1.53/1.60 cnf(410,plain,
% 1.53/1.60 (E(f5(a11,a13),f8(a13,a11))),
% 1.53/1.60 inference(scs_inference,[],[26,33,28,29,27,30,314,363,325,332,214,241,298,239,106,341,157,71,79,47,66,95,86])).
% 1.53/1.60 cnf(420,plain,
% 1.53/1.60 (~E(f3(f3(a13)),a1)),
% 1.53/1.61 inference(scs_inference,[],[26,33,28,29,27,30,396,314,363,325,332,216,214,241,298,239,106,341,157,71,79,47,66,95,86,84,58,96,57,38])).
% 1.53/1.61 cnf(423,plain,
% 1.53/1.61 (~P3(a13,f7(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,33,28,29,27,30,304,396,314,363,325,332,216,214,241,298,115,155,239,106,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22])).
% 1.53/1.61 cnf(426,plain,
% 1.53/1.61 (~P3(f2(f3(a13),f6(f3(a13),a13)),a12)),
% 1.53/1.61 inference(scs_inference,[],[26,35,33,28,29,27,30,304,228,396,359,314,363,325,332,216,214,241,298,115,155,239,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21])).
% 1.53/1.61 cnf(427,plain,
% 1.53/1.61 (E(f2(a1,a10),f8(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[26,35,33,28,29,27,30,304,109,228,396,359,314,363,325,332,216,214,241,298,115,155,239,294,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21,3])).
% 1.53/1.61 cnf(432,plain,
% 1.53/1.61 (P5(a10,f3(a13))),
% 1.53/1.61 inference(scs_inference,[],[26,35,33,28,29,27,30,304,109,375,228,396,359,314,363,325,332,216,214,241,298,115,155,239,294,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21,3,25,69,50])).
% 1.53/1.61 cnf(438,plain,
% 1.53/1.61 (~E(f3(a13),f8(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[26,35,105,33,28,29,27,30,304,109,375,228,396,359,314,363,325,332,216,214,241,298,115,155,239,294,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21,3,25,69,50,53,78,80])).
% 1.53/1.61 cnf(440,plain,
% 1.53/1.61 (P1(f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,35,105,33,28,29,27,30,304,109,375,228,396,359,314,363,325,332,216,214,241,298,115,155,239,294,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21,3,25,69,50,53,78,80,72])).
% 1.53/1.61 cnf(447,plain,
% 1.53/1.61 (E(f2(a11,a10),a11)),
% 1.53/1.61 inference(scs_inference,[],[26,35,105,33,28,29,27,30,304,109,375,228,396,359,314,363,325,332,216,214,241,298,115,155,239,294,106,37,341,157,71,79,47,66,95,86,84,58,96,57,38,23,22,2,24,21,3,25,69,50,53,78,80,72,203,52,49,45])).
% 1.53/1.61 cnf(453,plain,
% 1.53/1.61 (P5(a12,a12)),
% 1.53/1.61 inference(scs_inference,[],[29,48])).
% 1.53/1.61 cnf(455,plain,
% 1.53/1.61 (E(a1,f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,29,440,375,48,77])).
% 1.53/1.61 cnf(463,plain,
% 1.53/1.61 (~P2(f8(a1,f2(a1,a10)))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,365,447,375,173,36,48,77,135,69,80,38])).
% 1.53/1.61 cnf(465,plain,
% 1.53/1.61 (~P2(f7(f2(a1,a10),f2(a1,a10)))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,367,365,447,131,375,173,36,48,77,135,69,80,38,23])).
% 1.53/1.61 cnf(467,plain,
% 1.53/1.61 (P3(a1,f2(a1,f7(a1,a1)))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,167,367,365,447,131,385,375,173,36,48,77,135,69,80,38,23,22])).
% 1.53/1.61 cnf(468,plain,
% 1.53/1.61 (~E(f3(a13),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,167,367,438,365,447,131,385,375,173,36,48,77,135,69,80,38,23,22,3])).
% 1.53/1.61 cnf(469,plain,
% 1.53/1.61 (E(f8(a1,a1),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,167,367,438,365,447,131,385,375,173,36,48,77,135,69,80,38,23,22,3,2])).
% 1.53/1.61 cnf(470,plain,
% 1.53/1.61 (P5(f8(a1,a1),a1)),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24])).
% 1.53/1.61 cnf(472,plain,
% 1.53/1.61 (P5(f8(a1,a1),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,371,372,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24,21,25])).
% 1.53/1.61 cnf(473,plain,
% 1.53/1.61 (E(f7(a12,a1),a12)),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,371,372,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24,21,25,44])).
% 1.53/1.61 cnf(475,plain,
% 1.53/1.61 (E(f2(a10,a12),a12)),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,371,372,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24,21,25,44,43])).
% 1.53/1.61 cnf(481,plain,
% 1.53/1.61 (E(f6(f2(a1,a10),x4811),f6(f8(a1,a1),x4811))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,371,372,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24,21,25,44,43,41,17,15,14])).
% 1.53/1.61 cnf(482,plain,
% 1.53/1.61 (E(f8(x4821,f2(a1,a10)),f8(x4821,f8(a1,a1)))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,30,440,427,371,372,167,367,438,365,447,131,385,375,173,294,36,48,77,135,69,80,38,23,22,3,2,24,21,25,44,43,41,17,15,14,11])).
% 1.53/1.61 cnf(488,plain,
% 1.53/1.61 (E(f5(a1,a1),f8(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,27,30,440,427,371,372,167,367,438,365,447,131,385,375,163,153,130,173,294,36,106,48,77,135,69,80,38,23,22,3,2,24,21,25,44,43,41,17,15,14,11,9,8,73,86])).
% 1.53/1.61 cnf(490,plain,
% 1.53/1.61 (~P5(f3(a13),a1)),
% 1.53/1.61 inference(scs_inference,[],[26,105,29,28,27,30,440,427,371,372,167,367,400,438,365,447,432,131,385,375,163,153,130,173,294,36,106,157,48,77,135,69,80,38,23,22,3,2,24,21,25,44,43,41,17,15,14,11,9,8,73,86,84])).
% 1.53/1.61 cnf(500,plain,
% 1.53/1.61 (P1(f2(a10,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,64])).
% 1.53/1.61 cnf(502,plain,
% 1.53/1.61 (E(f7(a1,a11),a11)),
% 1.53/1.61 inference(scs_inference,[],[27,28,64,42])).
% 1.53/1.61 cnf(506,plain,
% 1.53/1.61 (E(f7(x5061,f8(a1,a1)),f7(x5061,f2(a1,a10)))),
% 1.53/1.61 inference(scs_inference,[],[27,28,29,469,64,42,40,7])).
% 1.53/1.61 cnf(507,plain,
% 1.53/1.61 (E(f7(f8(a1,a1),x5071),f7(f2(a1,a10),x5071))),
% 1.53/1.61 inference(scs_inference,[],[27,28,29,469,64,42,40,7,6])).
% 1.53/1.61 cnf(512,plain,
% 1.53/1.61 (E(f8(f8(a1,a1),x5121),f8(f2(a1,a10),x5121))),
% 1.53/1.61 inference(scs_inference,[],[27,28,29,469,64,42,40,7,6,4,16,13,12,10])).
% 1.53/1.61 cnf(520,plain,
% 1.53/1.61 (~E(a1,f3(a13))),
% 1.53/1.61 inference(scs_inference,[],[27,106,28,29,30,469,406,490,139,157,26,64,42,40,7,6,4,16,13,12,10,59,5,62,69,54])).
% 1.53/1.61 cnf(524,plain,
% 1.53/1.61 (E(f7(f8(a1,a1),f8(f2(a1,a10),f2(a1,a10))),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,106,28,29,30,482,469,472,145,406,490,440,208,139,157,26,64,42,40,7,6,4,16,13,12,10,59,5,62,69,54,78,80])).
% 1.53/1.61 cnf(529,plain,
% 1.53/1.61 (P5(f2(a1,a10),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,32,106,28,29,30,482,469,472,378,145,406,490,255,440,208,139,157,26,64,42,40,7,6,4,16,13,12,10,59,5,62,69,54,78,80,23,22,24])).
% 1.53/1.61 cnf(530,plain,
% 1.53/1.61 (~E(f2(a11,a12),f2(a11,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,104,32,106,28,29,30,482,469,472,378,145,406,490,255,447,440,208,139,157,26,64,42,40,7,6,4,16,13,12,10,59,5,62,69,54,78,80,23,22,24,3])).
% 1.53/1.61 cnf(533,plain,
% 1.53/1.61 (P3(f2(a1,a10),f2(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[27,104,32,35,106,28,29,30,482,469,472,455,369,378,235,145,406,473,490,255,447,440,208,139,157,26,64,42,40,7,6,4,16,13,12,10,59,5,62,69,54,78,80,23,22,24,3,2,25,21])).
% 1.53/1.61 cnf(563,plain,
% 1.53/1.61 (P5(f2(a1,a10),f2(a10,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,33,106,28,341,26,64,98])).
% 1.53/1.61 cnf(565,plain,
% 1.53/1.61 (~E(f3(f3(a13)),a10)),
% 1.53/1.61 inference(scs_inference,[],[27,33,106,28,404,396,341,26,64,98,39])).
% 1.53/1.61 cnf(567,plain,
% 1.53/1.61 (P1(f7(a10,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,33,106,28,404,396,341,26,64,98,39,63])).
% 1.53/1.61 cnf(569,plain,
% 1.53/1.61 (~E(a12,a10)),
% 1.53/1.61 inference(scs_inference,[],[27,33,106,28,404,530,396,341,26,64,98,39,63,5])).
% 1.53/1.61 cnf(574,plain,
% 1.53/1.61 (E(f7(f2(a1,a10),f8(f8(a1,a1),f2(a1,a10))),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,33,106,28,30,529,512,404,530,332,396,440,341,36,26,64,98,39,63,5,69,54,80])).
% 1.53/1.61 cnf(583,plain,
% 1.53/1.61 (E(f7(x5831,f8(a1,a1)),f7(x5831,f2(a1,a10)))),
% 1.53/1.61 inference(rename_variables,[],[506])).
% 1.53/1.61 cnf(586,plain,
% 1.53/1.61 (~P5(a10,f5(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[27,31,33,106,28,30,529,465,506,507,512,500,320,404,530,426,475,175,400,332,153,396,440,341,36,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25])).
% 1.53/1.61 cnf(587,plain,
% 1.53/1.61 (~P5(f3(a13),a11)),
% 1.53/1.61 inference(scs_inference,[],[27,34,31,33,106,28,30,529,465,506,507,512,500,320,404,380,530,426,475,175,400,332,153,396,440,341,36,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25,24])).
% 1.53/1.61 cnf(592,plain,
% 1.53/1.61 (~P3(a1,f3(a13))),
% 1.53/1.61 inference(scs_inference,[],[27,34,31,33,106,28,30,529,465,506,583,507,512,500,320,404,380,530,426,423,475,520,175,400,332,153,155,396,440,341,36,157,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25,24,21,2,189,394,65])).
% 1.53/1.61 cnf(594,plain,
% 1.53/1.61 (P5(a11,a11)),
% 1.53/1.61 inference(scs_inference,[],[27,34,31,33,106,28,30,529,465,506,583,507,512,500,320,404,380,530,426,423,475,520,175,400,332,153,155,396,440,341,36,157,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25,24,21,2,189,394,65,62])).
% 1.53/1.61 cnf(596,plain,
% 1.53/1.61 (~P3(f2(a1,a10),f3(a13))),
% 1.53/1.61 inference(scs_inference,[],[27,34,31,33,106,28,30,529,465,506,583,507,512,500,320,404,380,530,426,423,475,520,175,400,332,153,155,396,440,341,36,157,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25,24,21,2,189,394,65,62,190])).
% 1.53/1.61 cnf(607,plain,
% 1.53/1.61 (E(f7(f2(a1,a10),f5(f2(a1,a10),f2(a1,a10))),f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[27,34,31,33,106,28,30,529,465,506,583,507,512,500,320,404,380,530,426,423,475,520,175,400,332,153,155,396,440,341,36,157,26,64,98,39,63,5,69,54,80,57,38,23,3,22,25,24,21,2,189,394,65,62,190,75,82,99,70,93,83])).
% 1.53/1.61 cnf(620,plain,
% 1.53/1.61 (P1(f5(f2(a1,a10),f2(a10,a10)))),
% 1.53/1.61 inference(scs_inference,[],[28,106,563,410,565,500,325,420,396,440,27,50,18,68,74])).
% 1.53/1.61 cnf(634,plain,
% 1.53/1.61 (E(f7(a11,f5(a11,a11)),a11)),
% 1.53/1.61 inference(scs_inference,[],[28,34,106,30,563,594,410,565,586,500,325,420,153,396,440,27,50,18,68,74,93,92,102,101,70,62,83])).
% 1.53/1.61 cnf(637,plain,
% 1.53/1.61 (P3(a1,a1)),
% 1.53/1.61 inference(scs_inference,[],[28,34,106,30,563,594,488,410,565,586,455,500,325,420,153,396,440,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69])).
% 1.53/1.61 cnf(642,plain,
% 1.53/1.61 (P5(f8(a1,a1),f8(f2(a1,a10),a1))),
% 1.53/1.61 inference(scs_inference,[],[28,34,106,30,563,594,488,470,410,565,586,232,482,455,500,128,325,420,153,396,208,440,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54])).
% 1.53/1.61 cnf(643,plain,
% 1.53/1.61 (E(f8(f2(a1,a10),x6431),f8(a1,x6431))),
% 1.53/1.61 inference(rename_variables,[],[128])).
% 1.53/1.61 cnf(648,plain,
% 1.53/1.61 (~P3(a13,f7(a1,a11))),
% 1.53/1.61 inference(scs_inference,[],[28,34,106,30,607,563,594,463,488,468,470,410,502,565,586,232,482,455,500,128,643,325,420,153,396,208,440,36,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22])).
% 1.53/1.61 cnf(652,plain,
% 1.53/1.61 (P5(f2(a1,a10),a1)),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,30,607,563,259,594,463,488,468,470,410,502,565,586,467,232,482,455,500,128,643,325,420,153,396,208,440,36,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24])).
% 1.53/1.61 cnf(654,plain,
% 1.53/1.61 (P1(f6(f2(a1,a10),f2(a1,a1)))),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,30,607,563,259,594,463,488,468,470,410,502,565,586,467,533,232,482,455,500,128,643,325,420,153,396,141,208,440,36,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24,199,75])).
% 1.53/1.61 cnf(656,plain,
% 1.53/1.61 (E(f2(f2(a1,a10),f6(f2(a1,a10),f2(a1,a1))),f2(a1,a1))),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,30,607,563,259,594,463,488,468,470,410,502,565,586,467,533,232,482,455,500,128,643,325,420,153,396,141,208,440,36,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24,199,75,82])).
% 1.53/1.61 cnf(660,plain,
% 1.53/1.61 (E(f8(a1,a1),a1)),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,30,607,563,259,594,463,488,468,596,470,410,502,565,586,467,533,232,482,455,500,128,643,325,420,173,153,396,141,208,440,36,157,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24,199,75,82,99,58])).
% 1.53/1.61 cnf(664,plain,
% 1.53/1.61 (E(f2(a12,a10),a12)),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,29,30,607,563,259,594,463,488,468,596,470,410,502,565,586,467,533,232,482,455,500,128,643,325,420,173,153,396,141,208,440,36,157,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24,199,75,82,99,58,51,45])).
% 1.53/1.61 cnf(668,plain,
% 1.53/1.61 (P1(f3(f3(f3(a13))))),
% 1.53/1.61 inference(scs_inference,[],[28,107,34,105,106,29,30,607,563,259,594,463,488,468,596,470,410,502,565,586,467,533,232,482,455,500,128,643,325,420,173,153,396,141,208,440,36,157,27,26,50,18,68,74,93,92,102,101,70,62,83,5,69,80,54,3,23,22,21,2,25,24,199,75,82,99,58,51,45,87,46])).
% 1.53/1.61 cnf(686,plain,
% 1.53/1.61 (~E(f3(f3(f3(a13))),a10)),
% 1.53/1.61 inference(scs_inference,[],[31,29,30,642,668,569,232,482,565,241,420,396,208,47,65,72,39])).
% 1.53/1.61 cnf(693,plain,
% 1.53/1.61 (E(f6(f2(a1,a10),x6931),f6(f8(a1,a1),x6931))),
% 1.53/1.61 inference(rename_variables,[],[481])).
% 1.53/1.61 cnf(709,plain,
% 1.53/1.61 (~E(f3(f3(f3(a13))),a1)),
% 1.53/1.61 inference(scs_inference,[],[28,35,31,106,29,30,654,481,693,642,668,587,567,222,453,594,569,232,482,565,241,420,396,208,157,27,47,65,72,39,68,101,18,58,70,62,92,74,83,54,38])).
% 1.53/1.61 cnf(718,plain,
% 1.53/1.61 (P5(a13,a13)),
% 1.53/1.61 inference(scs_inference,[],[28,104,35,32,31,106,29,30,654,656,481,693,642,668,660,634,648,587,592,664,567,222,453,594,569,232,482,565,255,241,420,396,208,157,27,47,65,72,39,68,101,18,58,70,62,92,74,83,54,38,3,23,22,25,21,2,24,48])).
% 1.53/1.61 cnf(756,plain,
% 1.53/1.61 (P1(f8(f8(a1,a1),f2(a1,a10)))),
% 1.53/1.61 inference(scs_inference,[],[30,686,709,512,637,567,529,222,668,440,26,43,41,59,75,50,72])).
% 1.53/1.61 cnf(757,plain,
% 1.53/1.61 (E(f8(f8(a1,a1),x7571),f8(f2(a1,a10),x7571))),
% 1.53/1.61 inference(rename_variables,[],[512])).
% 1.53/1.61 cnf(767,plain,
% 1.53/1.61 (~E(a13,a11)),
% 1.53/1.61 inference(scs_inference,[],[29,34,30,718,686,709,512,637,567,529,222,453,668,175,500,440,28,26,43,41,59,75,50,72,68,58,70,74,135])).
% 1.53/1.61 cnf(771,plain,
% 1.53/1.61 (~P2(f2(a1,a10))),
% 1.53/1.61 inference(scs_inference,[],[29,109,34,30,718,686,709,512,757,637,567,529,472,222,453,668,175,500,440,208,28,26,43,41,59,75,50,72,68,58,70,74,135,80,38])).
% 1.53/1.61 cnf(773,plain,
% 1.53/1.61 (E(f7(f2(a1,a10),f8(f8(a1,a1),f2(a1,a10))),a1)),
% 1.53/1.61 inference(scs_inference,[],[29,109,34,30,574,718,686,709,512,757,637,567,529,472,222,453,668,175,500,440,208,28,26,43,41,59,75,50,72,68,58,70,74,135,80,38,3])).
% 1.53/1.61 cnf(803,plain,
% 1.53/1.61 (E(a13,a12)),
% 1.53/1.61 inference(scs_inference,[],[767,389])).
% 1.53/1.61 cnf(864,plain,
% 1.53/1.61 ($false),
% 1.53/1.61 inference(scs_inference,[],[30,35,32,33,620,524,652,773,803,296,756,718,423,334,771,490,251,455,134,141,440,157,26,84,62,20,86,54,22,3,23,25]),
% 1.53/1.61 ['proof']).
% 1.53/1.61 % SZS output end Proof
% 1.53/1.61 % Total time :0.920000s
%------------------------------------------------------------------------------