TSTP Solution File: NUM473+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM473+2 : 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 : n008.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 1.20s 1.30s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:02:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.20/1.28 %-------------------------------------------
% 1.20/1.28 % File :CSE---1.6
% 1.20/1.28 % Problem :theBenchmark
% 1.20/1.28 % Transform :cnf
% 1.20/1.28 % Format :tptp:raw
% 1.20/1.28 % Command :java -jar mcs_scs.jar %d %s
% 1.20/1.28
% 1.20/1.28 % Result :Theorem 0.630000s
% 1.20/1.28 % Output :CNFRefutation 0.630000s
% 1.20/1.28 %-------------------------------------------
% 1.20/1.29 %------------------------------------------------------------------------------
% 1.20/1.29 % File : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% 1.20/1.29 % Domain : Number Theory
% 1.20/1.29 % Problem : Square root of a prime is irrational 10_03_02, 01 expansion
% 1.20/1.29 % Version : Especial.
% 1.20/1.29 % English :
% 1.20/1.29
% 1.20/1.29 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 1.20/1.29 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.20/1.29 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.20/1.29 % Source : [Pas08]
% 1.20/1.29 % Names : primes_10_03_02.01 [Pas08]
% 1.20/1.29
% 1.20/1.29 % Status : Theorem
% 1.20/1.29 % Rating : 0.44 v7.5.0, 0.50 v7.4.0, 0.30 v7.3.0, 0.48 v7.2.0, 0.45 v7.1.0, 0.43 v7.0.0, 0.40 v6.4.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.60 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.71 v5.3.0, 0.70 v5.2.0, 0.60 v5.1.0, 0.71 v4.1.0, 0.74 v4.0.1, 0.83 v4.0.0
% 1.20/1.29 % Syntax : Number of formulae : 40 ( 2 unt; 4 def)
% 1.20/1.29 % Number of atoms : 174 ( 56 equ)
% 1.20/1.29 % Maximal formula atoms : 10 ( 4 avg)
% 1.20/1.29 % Number of connectives : 149 ( 15 ~; 7 |; 74 &)
% 1.20/1.29 % ( 4 <=>; 49 =>; 0 <=; 0 <~>)
% 1.20/1.29 % Maximal formula depth : 11 ( 6 avg)
% 1.20/1.29 % Maximal term depth : 3 ( 1 avg)
% 1.20/1.29 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 1.20/1.29 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 1.20/1.29 % Number of variables : 74 ( 68 !; 6 ?)
% 1.20/1.29 % SPC : FOF_THM_RFO_SEQ
% 1.20/1.29
% 1.20/1.29 % Comments : Problem generated by the SAD system [VLP07]
% 1.20/1.29 %------------------------------------------------------------------------------
% 1.20/1.29 fof(mNatSort,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => $true ) ).
% 1.20/1.29
% 1.20/1.29 fof(mSortsC,axiom,
% 1.20/1.29 aNaturalNumber0(sz00) ).
% 1.20/1.29
% 1.20/1.29 fof(mSortsC_01,axiom,
% 1.20/1.29 ( aNaturalNumber0(sz10)
% 1.20/1.29 & sz10 != sz00 ) ).
% 1.20/1.29
% 1.20/1.29 fof(mSortsB,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mSortsB_02,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mAddComm,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mAddAsso,axiom,
% 1.20/1.29 ! [W0,W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 1.20/1.29
% 1.20/1.29 fof(m_AddZero,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => ( sdtpldt0(W0,sz00) = W0
% 1.20/1.29 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mMulComm,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mMulAsso,axiom,
% 1.20/1.29 ! [W0,W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 1.20/1.29
% 1.20/1.29 fof(m_MulUnit,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => ( sdtasdt0(W0,sz10) = W0
% 1.20/1.29 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(m_MulZero,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => ( sdtasdt0(W0,sz00) = sz00
% 1.20/1.29 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mAMDistr,axiom,
% 1.20/1.29 ! [W0,W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.20/1.29 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mAddCanc,axiom,
% 1.20/1.29 ! [W0,W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 1.20/1.29 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 1.20/1.29 => W1 = W2 ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mMulCanc,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => ( W0 != sz00
% 1.20/1.29 => ! [W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 1.20/1.29 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 1.20/1.29 => W1 = W2 ) ) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mZeroAdd,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( sdtpldt0(W0,W1) = sz00
% 1.20/1.29 => ( W0 = sz00
% 1.20/1.29 & W1 = sz00 ) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mZeroMul,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( sdtasdt0(W0,W1) = sz00
% 1.20/1.29 => ( W0 = sz00
% 1.20/1.29 | W1 = sz00 ) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mDefLE,definition,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( sdtlseqdt0(W0,W1)
% 1.20/1.29 <=> ? [W2] :
% 1.20/1.29 ( aNaturalNumber0(W2)
% 1.20/1.29 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mDefDiff,definition,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( sdtlseqdt0(W0,W1)
% 1.20/1.29 => ! [W2] :
% 1.20/1.29 ( W2 = sdtmndt0(W1,W0)
% 1.20/1.29 <=> ( aNaturalNumber0(W2)
% 1.20/1.29 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mLERefl,axiom,
% 1.20/1.29 ! [W0] :
% 1.20/1.29 ( aNaturalNumber0(W0)
% 1.20/1.29 => sdtlseqdt0(W0,W0) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mLEAsym,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( ( sdtlseqdt0(W0,W1)
% 1.20/1.29 & sdtlseqdt0(W1,W0) )
% 1.20/1.29 => W0 = W1 ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mLETran,axiom,
% 1.20/1.29 ! [W0,W1,W2] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1)
% 1.20/1.29 & aNaturalNumber0(W2) )
% 1.20/1.29 => ( ( sdtlseqdt0(W0,W1)
% 1.20/1.29 & sdtlseqdt0(W1,W2) )
% 1.20/1.29 => sdtlseqdt0(W0,W2) ) ) ).
% 1.20/1.29
% 1.20/1.29 fof(mLETotal,axiom,
% 1.20/1.29 ! [W0,W1] :
% 1.20/1.29 ( ( aNaturalNumber0(W0)
% 1.20/1.29 & aNaturalNumber0(W1) )
% 1.20/1.29 => ( sdtlseqdt0(W0,W1)
% 1.20/1.30 | ( W1 != W0
% 1.20/1.30 & sdtlseqdt0(W1,W0) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mMonAdd,axiom,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( ( W0 != W1
% 1.20/1.30 & sdtlseqdt0(W0,W1) )
% 1.20/1.30 => ! [W2] :
% 1.20/1.30 ( aNaturalNumber0(W2)
% 1.20/1.30 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 1.20/1.30 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 1.20/1.30 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 1.20/1.30 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mMonMul,axiom,
% 1.20/1.30 ! [W0,W1,W2] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1)
% 1.20/1.30 & aNaturalNumber0(W2) )
% 1.20/1.30 => ( ( W0 != sz00
% 1.20/1.30 & W1 != W2
% 1.20/1.30 & sdtlseqdt0(W1,W2) )
% 1.20/1.30 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 1.20/1.30 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.20/1.30 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 1.20/1.30 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mLENTr,axiom,
% 1.20/1.30 ! [W0] :
% 1.20/1.30 ( aNaturalNumber0(W0)
% 1.20/1.30 => ( W0 = sz00
% 1.20/1.30 | W0 = sz10
% 1.20/1.30 | ( sz10 != W0
% 1.20/1.30 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mMonMul2,axiom,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( W0 != sz00
% 1.20/1.30 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mIH,axiom,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( iLess0(W0,W1)
% 1.20/1.30 => $true ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mIH_03,axiom,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( ( W0 != W1
% 1.20/1.30 & sdtlseqdt0(W0,W1) )
% 1.20/1.30 => iLess0(W0,W1) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mDefDiv,definition,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( doDivides0(W0,W1)
% 1.20/1.30 <=> ? [W2] :
% 1.20/1.30 ( aNaturalNumber0(W2)
% 1.20/1.30 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mDefQuot,definition,
% 1.20/1.30 ! [W0,W1] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1) )
% 1.20/1.30 => ( ( W0 != sz00
% 1.20/1.30 & doDivides0(W0,W1) )
% 1.20/1.30 => ! [W2] :
% 1.20/1.30 ( W2 = sdtsldt0(W1,W0)
% 1.20/1.30 <=> ( aNaturalNumber0(W2)
% 1.20/1.30 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mDivTrans,axiom,
% 1.20/1.30 ! [W0,W1,W2] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1)
% 1.20/1.30 & aNaturalNumber0(W2) )
% 1.20/1.30 => ( ( doDivides0(W0,W1)
% 1.20/1.30 & doDivides0(W1,W2) )
% 1.20/1.30 => doDivides0(W0,W2) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(mDivSum,axiom,
% 1.20/1.30 ! [W0,W1,W2] :
% 1.20/1.30 ( ( aNaturalNumber0(W0)
% 1.20/1.30 & aNaturalNumber0(W1)
% 1.20/1.30 & aNaturalNumber0(W2) )
% 1.20/1.30 => ( ( doDivides0(W0,W1)
% 1.20/1.30 & doDivides0(W0,W2) )
% 1.20/1.30 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__1324,hypothesis,
% 1.20/1.30 ( aNaturalNumber0(xl)
% 1.20/1.30 & aNaturalNumber0(xm)
% 1.20/1.30 & aNaturalNumber0(xn) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__1324_04,hypothesis,
% 1.20/1.30 ( ? [W0] :
% 1.20/1.30 ( aNaturalNumber0(W0)
% 1.20/1.30 & xm = sdtasdt0(xl,W0) )
% 1.20/1.30 & doDivides0(xl,xm)
% 1.20/1.30 & ? [W0] :
% 1.20/1.30 ( aNaturalNumber0(W0)
% 1.20/1.30 & sdtpldt0(xm,xn) = sdtasdt0(xl,W0) )
% 1.20/1.30 & doDivides0(xl,sdtpldt0(xm,xn)) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__1347,hypothesis,
% 1.20/1.30 xl != sz00 ).
% 1.20/1.30
% 1.20/1.30 fof(m__1360,hypothesis,
% 1.20/1.30 ( aNaturalNumber0(xp)
% 1.20/1.30 & xm = sdtasdt0(xl,xp)
% 1.20/1.30 & xp = sdtsldt0(xm,xl) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__1379,hypothesis,
% 1.20/1.30 ( aNaturalNumber0(xq)
% 1.20/1.30 & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
% 1.20/1.30 & xq = sdtsldt0(sdtpldt0(xm,xn),xl) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__1409,hypothesis,
% 1.20/1.30 ( ? [W0] :
% 1.20/1.30 ( aNaturalNumber0(W0)
% 1.20/1.30 & sdtpldt0(xm,W0) = sdtpldt0(xm,xn) )
% 1.20/1.30 & sdtlseqdt0(xm,sdtpldt0(xm,xn)) ) ).
% 1.20/1.30
% 1.20/1.30 fof(m__,conjecture,
% 1.20/1.30 ( ? [W0] :
% 1.20/1.30 ( aNaturalNumber0(W0)
% 1.20/1.30 & sdtpldt0(xp,W0) = xq )
% 1.20/1.30 | sdtlseqdt0(xp,xq) ) ).
% 1.20/1.30
% 1.20/1.30 %------------------------------------------------------------------------------
% 1.20/1.30 %-------------------------------------------
% 1.20/1.30 % Proof found
% 1.20/1.30 % SZS status Theorem for theBenchmark
% 1.20/1.30 % SZS output start Proof
% 1.20/1.30 %ClaNum:97(EqnAxiom:22)
% 1.20/1.30 %VarNum:350(SingletonVarNum:110)
% 1.20/1.30 %MaxLitNum:7
% 1.20/1.30 %MaxfuncDepth:2
% 1.20/1.30 %SharedTerms:41
% 1.20/1.30 %goalClause: 45 54
% 1.20/1.30 %singleGoalClaCount:1
% 1.20/1.30 [23]P1(a1)
% 1.20/1.30 [24]P1(a11)
% 1.20/1.30 [25]P1(a12)
% 1.20/1.30 [26]P1(a13)
% 1.20/1.30 [27]P1(a14)
% 1.20/1.30 [28]P1(a15)
% 1.20/1.30 [29]P1(a16)
% 1.20/1.30 [30]P1(a2)
% 1.20/1.30 [31]P1(a5)
% 1.20/1.30 [32]P1(a6)
% 1.20/1.30 [36]P2(a12,a13)
% 1.20/1.30 [43]~E(a1,a11)
% 1.20/1.30 [44]~E(a1,a12)
% 1.20/1.30 [45]~P3(a15,a16)
% 1.20/1.30 [33]E(f7(a12,a15),a13)
% 1.20/1.30 [34]E(f7(a12,a2),a13)
% 1.20/1.30 [35]E(f8(a13,a12),a15)
% 1.20/1.30 [37]E(f9(a13,a6),f9(a13,a14))
% 1.20/1.30 [38]E(f9(a13,a14),f7(a12,a16))
% 1.20/1.30 [39]E(f9(a13,a14),f7(a12,a5))
% 1.20/1.30 [41]P3(a13,f9(a13,a14))
% 1.20/1.30 [42]P2(a12,f9(a13,a14))
% 1.20/1.30 [40]E(f8(f9(a13,a14),a12),a16)
% 1.20/1.30 [52]~P1(x521)+P3(x521,x521)
% 1.20/1.30 [46]~P1(x461)+E(f7(a1,x461),a1)
% 1.20/1.30 [47]~P1(x471)+E(f7(x471,a1),a1)
% 1.20/1.30 [48]~P1(x481)+E(f9(a1,x481),x481)
% 1.20/1.30 [49]~P1(x491)+E(f7(a11,x491),x491)
% 1.20/1.30 [50]~P1(x501)+E(f9(x501,a1),x501)
% 1.20/1.30 [51]~P1(x511)+E(f7(x511,a11),x511)
% 1.20/1.30 [54]~P1(x541)+~E(f9(a15,x541),a16)
% 1.20/1.30 [59]~P1(x592)+~P1(x591)+E(f9(x591,x592),f9(x592,x591))
% 1.20/1.30 [60]~P1(x602)+~P1(x601)+E(f7(x601,x602),f7(x602,x601))
% 1.20/1.30 [62]~P1(x622)+~P1(x621)+P1(f9(x621,x622))
% 1.20/1.30 [63]~P1(x632)+~P1(x631)+P1(f7(x631,x632))
% 1.20/1.30 [53]~P1(x531)+E(x531,a11)+P3(a11,x531)+E(x531,a1)
% 1.20/1.30 [55]~E(x552,x551)+~P1(x551)+~P1(x552)+P3(x551,x552)
% 1.20/1.30 [61]P3(x612,x611)+~P1(x611)+~P1(x612)+P3(x611,x612)
% 1.20/1.30 [56]~P1(x562)+~P1(x561)+E(x561,a1)+~E(f9(x562,x561),a1)
% 1.20/1.30 [57]~P1(x572)+~P1(x571)+E(x571,a1)+~E(f9(x571,x572),a1)
% 1.20/1.30 [65]~P1(x652)+~P1(x651)+P3(x652,f7(x652,x651))+E(x651,a1)
% 1.20/1.30 [71]~P1(x712)+~P1(x711)+~P3(x711,x712)+P1(f3(x711,x712))
% 1.20/1.30 [72]~P1(x722)+~P1(x721)+~P2(x721,x722)+P1(f4(x721,x722))
% 1.20/1.30 [79]~P1(x791)+~P1(x792)+~P2(x791,x792)+E(f7(x791,f4(x791,x792)),x792)
% 1.20/1.30 [80]~P1(x802)+~P1(x801)+~P3(x801,x802)+E(f9(x801,f3(x801,x802)),x802)
% 1.20/1.30 [89]~P1(x893)+~P1(x892)+~P1(x891)+E(f9(f9(x891,x892),x893),f9(x891,f9(x892,x893)))
% 1.20/1.30 [90]~P1(x903)+~P1(x902)+~P1(x901)+E(f7(f7(x901,x902),x903),f7(x901,f7(x902,x903)))
% 1.20/1.30 [96]~P1(x963)+~P1(x962)+~P1(x961)+E(f9(f7(x961,x962),f7(x961,x963)),f7(x961,f9(x962,x963)))
% 1.20/1.30 [97]~P1(x972)+~P1(x973)+~P1(x971)+E(f9(f7(x971,x972),f7(x973,x972)),f7(f9(x971,x973),x972))
% 1.20/1.30 [64]P4(x641,x642)+~P1(x642)+~P1(x641)+~P3(x641,x642)+E(x641,x642)
% 1.20/1.30 [68]~P1(x682)+~P1(x681)+~P3(x682,x681)+~P3(x681,x682)+E(x681,x682)
% 1.20/1.30 [58]~P1(x581)+~P1(x582)+E(x581,a1)+E(x582,a1)+~E(f7(x582,x581),a1)
% 1.20/1.30 [66]~P1(x661)+~P1(x662)+~P1(x663)+P2(x661,x662)+~E(x662,f7(x661,x663))
% 1.20/1.30 [67]~P1(x672)+~P1(x671)+~P1(x673)+P3(x671,x672)+~E(f9(x671,x673),x672)
% 1.20/1.30 [69]~P1(x693)+~P1(x692)+~P3(x693,x692)+P1(x691)+~E(x691,f10(x692,x693))
% 1.20/1.30 [73]~P1(x732)+~P1(x731)+~P1(x733)+E(x731,x732)+~E(f9(x733,x731),f9(x733,x732))
% 1.20/1.30 [74]~P1(x742)+~P1(x743)+~P1(x741)+E(x741,x742)+~E(f9(x741,x743),f9(x742,x743))
% 1.20/1.30 [77]~P1(x773)+~P1(x771)+~P3(x771,x773)+~E(x772,f10(x773,x771))+E(f9(x771,x772),x773)
% 1.20/1.30 [81]~P1(x812)+~P1(x811)+~P3(x813,x812)+~P3(x811,x813)+P3(x811,x812)+~P1(x813)
% 1.20/1.30 [82]~P1(x822)+~P1(x821)+~P2(x823,x822)+~P2(x821,x823)+P2(x821,x822)+~P1(x823)
% 1.20/1.30 [70]~P1(x701)+~P1(x703)+~P2(x701,x703)+P1(x702)+E(x701,a1)+~E(x702,f8(x703,x701))
% 1.20/1.30 [75]~P1(x752)+~P1(x751)+~P1(x753)+E(x751,x752)+~E(f7(x753,x751),f7(x753,x752))+E(x753,a1)
% 1.20/1.30 [76]~P1(x762)+~P1(x763)+~P1(x761)+E(x761,x762)+~E(f7(x761,x763),f7(x762,x763))+E(x763,a1)
% 1.20/1.30 [78]~P1(x781)+~P1(x782)+~P2(x781,x782)+~E(x783,f8(x782,x781))+E(x781,a1)+E(x782,f7(x781,x783))
% 1.20/1.30 [83]~P1(x832)+~P1(x833)+~P1(x831)+~P3(x833,x832)+~E(f9(x833,x831),x832)+E(x831,f10(x832,x833))
% 1.20/1.30 [91]~P1(x913)+~P1(x912)+~P1(x911)+~P2(x911,x913)+~P2(x911,x912)+P2(x911,f9(x912,x913))
% 1.20/1.30 [92]~P1(x922)+~P1(x921)+~P1(x923)+~P3(x921,x922)+E(x921,x922)+P3(f9(x923,x921),f9(x923,x922))
% 1.20/1.30 [93]~P1(x932)+~P1(x933)+~P1(x931)+~P3(x931,x932)+E(x931,x932)+P3(f9(x931,x933),f9(x932,x933))
% 1.20/1.30 [84]~P1(x841)+~P1(x843)+~P1(x842)+~P2(x841,x843)+~E(x843,f7(x841,x842))+E(x841,a1)+E(x842,f8(x843,x841))
% 1.20/1.30 [94]~P1(x942)+~P1(x941)+~P1(x943)+~P3(x941,x942)+E(x941,x942)+P3(f7(x943,x941),f7(x943,x942))+E(x943,a1)
% 1.20/1.30 [95]~P1(x952)+~P1(x953)+~P1(x951)+~P3(x951,x952)+E(x951,x952)+P3(f7(x951,x953),f7(x952,x953))+E(x953,a1)
% 1.20/1.30 %EqnAxiom
% 1.20/1.30 [1]E(x11,x11)
% 1.20/1.30 [2]E(x22,x21)+~E(x21,x22)
% 1.20/1.30 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.20/1.30 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 1.20/1.30 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 1.20/1.30 [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63))
% 1.20/1.30 [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72))
% 1.20/1.30 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 1.20/1.30 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 1.20/1.30 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 1.20/1.30 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 1.20/1.30 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 1.20/1.30 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 1.20/1.30 [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 1.20/1.30 [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 1.20/1.30 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 1.20/1.30 [17]P3(x172,x173)+~E(x171,x172)+~P3(x171,x173)
% 1.20/1.30 [18]P3(x183,x182)+~E(x181,x182)+~P3(x183,x181)
% 1.20/1.30 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 1.20/1.30 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 1.20/1.30 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 1.20/1.30 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 1.20/1.30
% 1.20/1.30 %-------------------------------------------
% 1.20/1.30 cnf(98,plain,
% 1.20/1.30 (E(a13,f7(a12,a15))),
% 1.20/1.30 inference(scs_inference,[],[33,2])).
% 1.20/1.30 cnf(99,plain,
% 1.20/1.30 (P2(a12,f7(a12,a15))),
% 1.20/1.30 inference(scs_inference,[],[36,33,2,22])).
% 1.20/1.30 cnf(100,plain,
% 1.20/1.30 (P3(a13,f7(a12,a5))),
% 1.20/1.30 inference(scs_inference,[],[36,41,33,39,2,22,18])).
% 1.20/1.30 cnf(101,plain,
% 1.20/1.30 (P3(f7(a12,a15),f9(a13,a14))),
% 1.20/1.30 inference(scs_inference,[],[36,41,33,39,2,22,18,17])).
% 1.20/1.30 cnf(102,plain,
% 1.20/1.30 (P1(f7(a12,a15))),
% 1.20/1.30 inference(scs_inference,[],[26,36,41,33,39,2,22,18,17,16])).
% 1.20/1.30 cnf(104,plain,
% 1.20/1.30 (P3(a1,a1)),
% 1.20/1.30 inference(scs_inference,[],[23,26,36,41,33,39,37,2,22,18,17,16,3,61])).
% 1.20/1.30 cnf(110,plain,
% 1.20/1.30 (~E(f9(a15,a1),a16)),
% 1.20/1.30 inference(scs_inference,[],[23,24,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54])).
% 1.20/1.30 cnf(114,plain,
% 1.20/1.30 (E(f9(a1,a1),a1)),
% 1.20/1.30 inference(scs_inference,[],[23,24,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50])).
% 1.20/1.30 cnf(118,plain,
% 1.20/1.30 (E(f9(a1,a11),a11)),
% 1.20/1.30 inference(scs_inference,[],[23,24,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48])).
% 1.20/1.30 cnf(128,plain,
% 1.20/1.30 (E(f10(x1281,f7(a12,a15)),f10(x1281,a13))),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11])).
% 1.20/1.30 cnf(129,plain,
% 1.20/1.30 (E(f10(f7(a12,a15),x1291),f10(a13,x1291))),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10])).
% 1.20/1.30 cnf(131,plain,
% 1.20/1.30 (E(f8(f7(a12,a15),x1311),f8(a13,x1311))),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10,9,8])).
% 1.20/1.30 cnf(132,plain,
% 1.20/1.30 (E(f9(x1321,f7(a12,a15)),f9(x1321,a13))),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10,9,8,7])).
% 1.20/1.30 cnf(140,plain,
% 1.20/1.30 (P3(a12,a12)),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10,9,8,7,6,5,4,63,62,55])).
% 1.20/1.30 cnf(144,plain,
% 1.20/1.30 (P1(f3(a1,a1))),
% 1.20/1.30 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10,9,8,7,6,5,4,63,62,55,72,71])).
% 1.20/1.30 cnf(150,plain,
% 1.20/1.31 (E(f9(a1,f3(a1,a1)),a1)),
% 1.20/1.31 inference(scs_inference,[],[23,24,25,26,27,32,36,41,33,39,37,2,22,18,17,16,3,61,73,52,54,51,50,49,48,47,46,15,14,13,12,11,10,9,8,7,6,5,4,63,62,55,72,71,90,89,80])).
% 1.20/1.31 cnf(179,plain,
% 1.20/1.31 (E(f3(a1,a1),a1)),
% 1.20/1.31 inference(scs_inference,[],[28,23,144,150,62,56])).
% 1.20/1.31 cnf(191,plain,
% 1.20/1.31 (~E(a12,a1)),
% 1.20/1.31 inference(scs_inference,[],[28,44,25,23,140,144,150,62,56,71,90,97,96,73,2])).
% 1.20/1.31 cnf(192,plain,
% 1.20/1.31 (~P3(a15,f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[45,28,44,40,25,23,140,144,150,62,56,71,90,97,96,73,2,18])).
% 1.20/1.31 cnf(196,plain,
% 1.20/1.31 (P3(a16,a15)),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,25,23,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61])).
% 1.20/1.31 cnf(198,plain,
% 1.20/1.31 (~E(a16,a15)),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,25,23,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61,55])).
% 1.20/1.31 cnf(204,plain,
% 1.20/1.31 (~E(f9(a15,a15),a16)),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,25,23,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67])).
% 1.20/1.31 cnf(209,plain,
% 1.20/1.31 (~E(f7(a12,a12),a1)),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,25,23,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67,3,53,58])).
% 1.20/1.31 cnf(211,plain,
% 1.20/1.31 (E(a1,f10(a1,a1))),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,25,23,104,114,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67,3,53,58,83])).
% 1.20/1.31 cnf(213,plain,
% 1.20/1.31 (E(a13,f7(a12,f8(f7(a12,a15),a12)))),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,36,25,26,23,104,131,114,140,144,150,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67,3,53,58,83,78])).
% 1.20/1.31 cnf(215,plain,
% 1.20/1.31 (E(a15,f8(a13,a12))),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,36,25,26,23,104,131,114,140,144,150,98,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67,3,53,58,83,78,84])).
% 1.20/1.31 cnf(217,plain,
% 1.20/1.31 (P3(a15,f7(a15,a12))),
% 1.20/1.31 inference(scs_inference,[],[45,28,29,44,35,40,36,25,26,23,104,131,114,140,144,150,98,62,56,71,90,97,96,73,2,18,17,63,61,55,89,80,67,3,53,58,83,78,84,65])).
% 1.20/1.31 cnf(243,plain,
% 1.20/1.31 (P4(a16,f8(a13,a12))),
% 1.20/1.31 inference(scs_inference,[],[23,29,25,28,215,191,196,198,92,57,64,93,20])).
% 1.20/1.31 cnf(244,plain,
% 1.20/1.31 (P1(f3(a16,a15))),
% 1.20/1.31 inference(scs_inference,[],[23,29,25,28,215,191,196,198,92,57,64,93,20,71])).
% 1.20/1.31 cnf(250,plain,
% 1.20/1.31 (E(f9(a16,f3(a16,a15)),a15)),
% 1.20/1.31 inference(scs_inference,[],[23,30,29,25,28,215,191,196,198,92,57,64,93,20,71,90,89,80])).
% 1.20/1.31 cnf(256,plain,
% 1.20/1.31 (P1(f10(a1,a1))),
% 1.20/1.31 inference(scs_inference,[],[23,30,29,25,28,215,211,191,196,198,92,57,64,93,20,71,90,89,80,97,96,16])).
% 1.20/1.31 cnf(257,plain,
% 1.20/1.31 (E(a13,f7(a12,a2))),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,29,25,28,215,211,191,196,198,92,57,64,93,20,71,90,89,80,97,96,16,2])).
% 1.20/1.31 cnf(258,plain,
% 1.20/1.31 (P3(f7(a12,a15),a13)),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,98,29,26,25,28,215,211,191,196,198,102,92,57,64,93,20,71,90,89,80,97,96,16,2,55])).
% 1.20/1.31 cnf(260,plain,
% 1.20/1.31 (P3(f7(a12,a15),f7(a12,a15))),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,98,29,26,25,28,215,211,191,196,198,102,92,57,64,93,20,71,90,89,80,97,96,16,2,55,18])).
% 1.20/1.31 cnf(261,plain,
% 1.20/1.31 (~P3(f8(a13,a12),f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,98,35,29,26,25,28,215,192,211,191,196,198,102,92,57,64,93,20,71,90,89,80,97,96,16,2,55,18,17])).
% 1.20/1.31 cnf(262,plain,
% 1.20/1.31 (E(f7(a12,a2),f7(a12,a15))),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,98,35,29,26,25,28,215,192,211,191,196,198,102,92,57,64,93,20,71,90,89,80,97,96,16,2,55,18,17,3])).
% 1.20/1.31 cnf(275,plain,
% 1.20/1.31 (~P1(f7(a12,a12))+P1(f10(f9(a13,a14),f7(a12,a15)))+P3(f7(a1,f7(a12,a12)),f7(a11,f7(a12,a12)))),
% 1.20/1.31 inference(scs_inference,[],[23,30,34,98,27,35,43,41,29,24,26,25,28,128,215,192,118,209,211,191,196,198,102,129,92,57,64,93,20,71,90,89,80,97,96,16,2,55,18,17,3,69,62,56,77,65,67,95])).
% 1.20/1.31 cnf(287,plain,
% 1.20/1.31 (E(f3(a16,a15),f10(a15,a16))),
% 1.20/1.31 inference(scs_inference,[],[29,28,244,250,196,83])).
% 1.20/1.31 cnf(289,plain,
% 1.20/1.31 (~E(f9(a12,a12),a1)),
% 1.20/1.31 inference(scs_inference,[],[29,25,28,244,250,191,196,83,57])).
% 1.20/1.31 cnf(291,plain,
% 1.20/1.31 (E(a2,a15)),
% 1.20/1.31 inference(scs_inference,[],[30,29,25,28,244,262,250,191,196,83,57,75])).
% 1.20/1.31 cnf(298,plain,
% 1.20/1.31 (P3(a13,f7(a12,a16))),
% 1.20/1.31 inference(scs_inference,[],[31,38,41,30,29,26,25,28,244,262,250,258,129,102,191,196,83,57,75,62,77,18])).
% 1.20/1.31 cnf(300,plain,
% 1.20/1.31 (~E(a11,a1)),
% 1.20/1.31 inference(scs_inference,[],[31,38,37,41,43,30,29,26,25,28,244,262,250,258,129,102,191,196,83,57,75,62,77,18,3,2])).
% 1.20/1.31 cnf(301,plain,
% 1.20/1.31 (P3(a13,f7(a12,a15))),
% 1.20/1.31 inference(scs_inference,[],[31,38,37,41,43,30,29,26,33,25,28,260,244,262,250,258,129,102,191,196,83,57,75,62,77,18,3,2,17])).
% 1.20/1.31 cnf(332,plain,
% 1.20/1.31 (P3(a13,a13)),
% 1.20/1.31 inference(scs_inference,[],[24,29,26,28,301,300,258,198,102,196,92,95,81])).
% 1.20/1.31 cnf(338,plain,
% 1.20/1.31 (E(a2,f8(a13,a12))),
% 1.20/1.31 inference(scs_inference,[],[24,99,36,30,29,26,25,28,257,301,300,258,198,102,196,191,92,95,81,72,93,84])).
% 1.20/1.31 cnf(344,plain,
% 1.20/1.31 (P1(f9(a11,a11))),
% 1.20/1.31 inference(scs_inference,[],[24,99,44,36,30,29,26,25,28,257,301,300,258,198,102,196,191,23,92,95,81,72,93,84,75,79,62])).
% 1.20/1.31 cnf(349,plain,
% 1.20/1.31 (~E(f9(a15,a11),a16)),
% 1.20/1.31 inference(scs_inference,[],[24,99,44,36,30,29,26,25,28,257,301,300,258,128,198,102,45,196,191,23,92,95,81,72,93,84,75,79,62,77,67])).
% 1.20/1.31 cnf(351,plain,
% 1.20/1.31 (E(a16,f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[24,99,40,44,36,30,29,26,25,28,257,301,300,258,128,198,102,45,196,191,23,92,95,81,72,93,84,75,79,62,77,67,2])).
% 1.20/1.31 cnf(355,plain,
% 1.20/1.31 (P3(f7(a12,a15),f7(a12,f8(f7(a12,a15),a12)))),
% 1.20/1.31 inference(scs_inference,[],[24,99,40,44,36,30,29,26,25,28,213,257,301,300,211,258,128,198,102,45,196,191,23,92,95,81,72,93,84,75,79,62,77,67,2,3,82,18])).
% 1.20/1.31 cnf(356,plain,
% 1.20/1.31 (P3(f7(a12,f8(f7(a12,a15),a12)),f9(a13,a14))),
% 1.20/1.31 inference(scs_inference,[],[24,99,40,44,41,36,30,29,26,25,28,213,257,301,300,211,258,128,198,102,45,196,191,23,92,95,81,72,93,84,75,79,62,77,67,2,3,82,18,17])).
% 1.20/1.31 cnf(376,plain,
% 1.20/1.31 (E(f10(f7(a12,a2),x3761),f10(a13,x3761))),
% 1.20/1.31 inference(scs_inference,[],[32,34,48,54,49,15,14,12,10])).
% 1.20/1.31 cnf(379,plain,
% 1.20/1.31 (~E(f7(a15,a12),f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[32,34,179,110,217,192,211,48,54,49,15,14,12,10,2,3,18])).
% 1.20/1.31 cnf(380,plain,
% 1.20/1.31 (~P3(a2,f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[32,34,179,110,338,261,217,192,211,48,54,49,15,14,12,10,2,3,18,17])).
% 1.20/1.31 cnf(381,plain,
% 1.20/1.31 (P3(a6,a6)),
% 1.20/1.31 inference(scs_inference,[],[32,34,179,110,338,261,217,192,211,48,54,49,15,14,12,10,2,3,18,17,52])).
% 1.20/1.31 cnf(388,plain,
% 1.20/1.31 (E(f10(x3881,f7(a12,a2)),f10(x3881,a13))),
% 1.20/1.31 inference(scs_inference,[],[32,34,25,179,110,338,261,217,289,192,211,191,48,54,49,15,14,12,10,2,3,18,17,52,58,46,13,11])).
% 1.20/1.31 cnf(390,plain,
% 1.20/1.31 (E(f8(f7(a12,a2),x3901),f8(a13,x3901))),
% 1.20/1.31 inference(scs_inference,[],[32,34,25,179,110,338,261,217,289,192,211,191,48,54,49,15,14,12,10,2,3,18,17,52,58,46,13,11,9,8])).
% 1.20/1.31 cnf(392,plain,
% 1.20/1.31 (P4(f8(f9(a13,a14),a12),f8(a13,a12))),
% 1.20/1.31 inference(scs_inference,[],[32,34,25,179,110,338,351,261,243,217,289,192,211,191,48,54,49,15,14,12,10,2,3,18,17,52,58,46,13,11,9,8,5,19])).
% 1.20/1.31 cnf(409,plain,
% 1.20/1.31 (P1(f7(a12,a12))),
% 1.20/1.31 inference(scs_inference,[],[25,63])).
% 1.20/1.31 cnf(411,plain,
% 1.20/1.31 (P3(f7(a12,a16),f7(a12,a15))),
% 1.20/1.31 inference(scs_inference,[],[25,29,28,198,191,196,63,94])).
% 1.20/1.31 cnf(419,plain,
% 1.20/1.31 (P1(f8(f7(a12,a2),a12))),
% 1.20/1.31 inference(scs_inference,[],[25,100,35,39,42,98,36,29,26,28,356,390,198,191,196,63,94,22,2,18,3,17,275,70])).
% 1.20/1.31 cnf(427,plain,
% 1.20/1.31 (~E(a13,f7(a12,a16))),
% 1.20/1.31 inference(scs_inference,[],[25,100,35,39,42,98,36,29,26,28,332,356,390,376,209,198,191,196,63,94,22,2,18,3,17,275,70,69,58,84])).
% 1.20/1.31 cnf(445,plain,
% 1.20/1.31 (~E(f9(f7(a12,a12),f7(a12,a12)),a1)),
% 1.20/1.31 inference(scs_inference,[],[31,35,409,392,209,63,20,56])).
% 1.20/1.31 cnf(453,plain,
% 1.20/1.31 (P3(f7(a12,a16),a13)),
% 1.20/1.31 inference(scs_inference,[],[25,31,35,43,33,409,349,392,411,355,287,244,209,211,191,63,20,56,16,58,2,3,17,18])).
% 1.20/1.31 cnf(462,plain,
% 1.20/1.31 (E(f9(f7(a12,a12),f7(a12,a12)),f7(a12,f9(a12,a12)))),
% 1.20/1.31 inference(scs_inference,[],[25,31,35,43,32,33,409,349,392,381,411,355,287,256,244,209,211,191,63,20,56,16,58,2,3,17,18,53,71,90,89,96])).
% 1.20/1.31 cnf(485,plain,
% 1.20/1.31 (~E(f9(a11,a11),a1)),
% 1.20/1.31 inference(scs_inference,[],[300,24,57])).
% 1.20/1.31 cnf(486,plain,
% 1.20/1.31 (~P1(x4861)+~P1(x4862)+~E(f9(x4862,x4861),a1)+E(x4862,a1)),
% 1.20/1.31 inference(rename_variables,[],[57])).
% 1.20/1.31 cnf(487,plain,
% 1.20/1.31 (P3(a15,a2)),
% 1.20/1.31 inference(scs_inference,[],[30,28,291,300,24,57,55])).
% 1.20/1.31 cnf(497,plain,
% 1.20/1.31 (P3(a14,a14)),
% 1.20/1.31 inference(scs_inference,[],[26,27,99,30,36,28,344,291,300,102,24,25,57,55,65,91,90,96,61])).
% 1.20/1.31 cnf(509,plain,
% 1.20/1.31 (~P3(f8(f7(a12,a2),a12),f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[26,37,27,99,30,36,28,344,462,445,291,390,261,332,300,102,24,25,57,55,65,91,90,96,61,71,89,97,80,2,3,17])).
% 1.20/1.31 cnf(510,plain,
% 1.20/1.31 (E(f8(f7(a12,a2),x5101),f8(a13,x5101))),
% 1.20/1.31 inference(rename_variables,[],[390])).
% 1.20/1.31 cnf(511,plain,
% 1.20/1.31 (~P3(a2,a16)),
% 1.20/1.31 inference(scs_inference,[],[26,37,27,99,30,36,28,344,462,445,291,390,380,261,351,332,300,102,24,25,57,55,65,91,90,96,61,71,89,97,80,2,3,17,18])).
% 1.20/1.31 cnf(525,plain,
% 1.20/1.31 (P1(f8(f9(a13,a14),a12))),
% 1.20/1.31 inference(scs_inference,[],[26,37,27,99,30,36,29,28,344,462,445,291,390,510,380,261,351,332,300,102,191,24,25,57,55,65,91,90,96,61,71,89,97,80,2,3,17,18,50,47,51,486,78,56,16])).
% 1.20/1.31 cnf(554,plain,
% 1.20/1.31 (P1(f3(a14,a14))),
% 1.20/1.31 inference(scs_inference,[],[40,31,27,30,29,485,497,525,511,344,409,209,57,65,55,96,61,90,97,71])).
% 1.20/1.31 cnf(558,plain,
% 1.20/1.31 (E(f9(a14,f3(a14,a14)),a14)),
% 1.20/1.31 inference(scs_inference,[],[40,31,27,30,29,485,497,525,511,344,409,209,57,65,55,96,61,90,97,71,89,80])).
% 1.20/1.31 cnf(581,plain,
% 1.20/1.31 (P1(f9(a13,a13))),
% 1.20/1.31 inference(scs_inference,[],[26,101,40,38,31,27,99,30,29,379,485,497,525,204,487,511,344,376,215,409,258,209,102,25,57,65,55,96,61,90,97,71,89,80,2,3,17,18,48,54,49,52,46,53,77,91,62])).
% 1.20/1.31 cnf(583,plain,
% 1.20/1.31 (~P1(f7(a12,a16))),
% 1.20/1.31 inference(scs_inference,[],[26,101,40,38,31,27,99,30,29,379,485,497,525,204,453,427,487,511,298,344,376,215,409,258,209,102,25,57,65,55,96,61,90,97,71,89,80,2,3,17,18,48,54,49,52,46,53,77,91,62,68])).
% 1.20/1.31 cnf(614,plain,
% 1.20/1.31 (~E(f8(f9(a13,a14),a12),f8(f7(a12,a2),a12))),
% 1.20/1.31 inference(scs_inference,[],[27,37,509,419,554,558,525,497,15,14,11,8,83,5,4,6,63,55])).
% 1.20/1.31 cnf(620,plain,
% 1.20/1.31 (P3(a13,f9(a13,a13))),
% 1.20/1.31 inference(scs_inference,[],[27,37,102,581,509,132,419,554,583,558,525,497,26,15,14,11,8,83,5,4,6,63,55,69,62,67])).
% 1.20/1.31 cnf(625,plain,
% 1.20/1.31 (~P1(f9(a13,a14))),
% 1.20/1.31 inference(scs_inference,[],[27,37,38,102,581,509,132,419,554,583,558,525,497,26,15,14,11,8,83,5,4,6,63,55,69,62,67,61,16])).
% 1.20/1.31 cnf(655,plain,
% 1.20/1.31 ($false),
% 1.20/1.31 inference(scs_inference,[],[27,32,625,614,388,620,581,497,26,8,77,63,69,62]),
% 1.20/1.31 ['proof']).
% 1.20/1.31 % SZS output end Proof
% 1.20/1.31 % Total time :0.630000s
%------------------------------------------------------------------------------