TSTP Solution File: NUM505+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM505+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 : n007.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 10:22:43 EDT 2023
% Result : Theorem 0.87s 0.93s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 08:59:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.76/0.91 %-------------------------------------------
% 0.76/0.91 % File :CSE---1.6
% 0.76/0.91 % Problem :theBenchmark
% 0.76/0.91 % Transform :cnf
% 0.76/0.91 % Format :tptp:raw
% 0.76/0.91 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.92
% 0.76/0.92 % Result :Theorem 0.270000s
% 0.76/0.92 % Output :CNFRefutation 0.270000s
% 0.76/0.92 %-------------------------------------------
% 0.76/0.92 %------------------------------------------------------------------------------
% 0.76/0.92 % File : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% 0.76/0.92 % Domain : Number Theory
% 0.76/0.92 % Problem : Square root of a prime is irrational 14_03_03_03_03, 00 expansion
% 0.76/0.92 % Version : Especial.
% 0.76/0.92 % English :
% 0.76/0.92
% 0.76/0.92 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 0.76/0.92 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.76/0.92 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.76/0.92 % Source : [Pas08]
% 0.76/0.92 % Names : primes_14_03_03_03_03.00 [Pas08]
% 0.76/0.92
% 0.76/0.92 % Status : Theorem
% 0.76/0.92 % Rating : 0.33 v8.1.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.30 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.43 v7.0.0, 0.37 v6.4.0, 0.42 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.50 v6.0.0, 0.52 v5.5.0, 0.59 v5.4.0, 0.61 v5.3.0, 0.59 v5.2.0, 0.45 v5.1.0, 0.52 v5.0.0, 0.58 v4.1.0, 0.61 v4.0.1, 0.83 v4.0.0
% 0.76/0.92 % Syntax : Number of formulae : 50 ( 4 unt; 5 def)
% 0.76/0.92 % Number of atoms : 215 ( 64 equ)
% 0.76/0.92 % Maximal formula atoms : 10 ( 4 avg)
% 0.76/0.92 % Number of connectives : 194 ( 29 ~; 9 |; 88 &)
% 0.76/0.92 % ( 5 <=>; 63 =>; 0 <=; 0 <~>)
% 0.76/0.92 % Maximal formula depth : 11 ( 6 avg)
% 0.76/0.92 % Maximal term depth : 3 ( 1 avg)
% 0.76/0.92 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.76/0.92 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 0.76/0.92 % Number of variables : 85 ( 82 !; 3 ?)
% 0.76/0.92 % SPC : FOF_THM_RFO_SEQ
% 0.87/0.92
% 0.87/0.92 % Comments : Problem generated by the SAD system [VLP07]
% 0.87/0.92 %------------------------------------------------------------------------------
% 0.87/0.92 fof(mNatSort,axiom,
% 0.87/0.92 ! [W0] :
% 0.87/0.92 ( aNaturalNumber0(W0)
% 0.87/0.92 => $true ) ).
% 0.87/0.92
% 0.87/0.92 fof(mSortsC,axiom,
% 0.87/0.92 aNaturalNumber0(sz00) ).
% 0.87/0.92
% 0.87/0.92 fof(mSortsC_01,axiom,
% 0.87/0.92 ( aNaturalNumber0(sz10)
% 0.87/0.92 & sz10 != sz00 ) ).
% 0.87/0.92
% 0.87/0.92 fof(mSortsB,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mSortsB_02,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mAddComm,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mAddAsso,axiom,
% 0.87/0.92 ! [W0,W1,W2] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1)
% 0.87/0.92 & aNaturalNumber0(W2) )
% 0.87/0.92 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.87/0.92
% 0.87/0.92 fof(m_AddZero,axiom,
% 0.87/0.92 ! [W0] :
% 0.87/0.92 ( aNaturalNumber0(W0)
% 0.87/0.92 => ( sdtpldt0(W0,sz00) = W0
% 0.87/0.92 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mMulComm,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mMulAsso,axiom,
% 0.87/0.92 ! [W0,W1,W2] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1)
% 0.87/0.92 & aNaturalNumber0(W2) )
% 0.87/0.92 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.87/0.92
% 0.87/0.92 fof(m_MulUnit,axiom,
% 0.87/0.92 ! [W0] :
% 0.87/0.92 ( aNaturalNumber0(W0)
% 0.87/0.92 => ( sdtasdt0(W0,sz10) = W0
% 0.87/0.92 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(m_MulZero,axiom,
% 0.87/0.92 ! [W0] :
% 0.87/0.92 ( aNaturalNumber0(W0)
% 0.87/0.92 => ( sdtasdt0(W0,sz00) = sz00
% 0.87/0.92 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mAMDistr,axiom,
% 0.87/0.92 ! [W0,W1,W2] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1)
% 0.87/0.92 & aNaturalNumber0(W2) )
% 0.87/0.92 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.87/0.92 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mAddCanc,axiom,
% 0.87/0.92 ! [W0,W1,W2] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1)
% 0.87/0.92 & aNaturalNumber0(W2) )
% 0.87/0.92 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 0.87/0.92 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 0.87/0.92 => W1 = W2 ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mMulCanc,axiom,
% 0.87/0.92 ! [W0] :
% 0.87/0.92 ( aNaturalNumber0(W0)
% 0.87/0.92 => ( W0 != sz00
% 0.87/0.92 => ! [W1,W2] :
% 0.87/0.92 ( ( aNaturalNumber0(W1)
% 0.87/0.92 & aNaturalNumber0(W2) )
% 0.87/0.92 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 0.87/0.92 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 0.87/0.92 => W1 = W2 ) ) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mZeroAdd,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => ( sdtpldt0(W0,W1) = sz00
% 0.87/0.92 => ( W0 = sz00
% 0.87/0.92 & W1 = sz00 ) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mZeroMul,axiom,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.92 => ( sdtasdt0(W0,W1) = sz00
% 0.87/0.92 => ( W0 = sz00
% 0.87/0.92 | W1 = sz00 ) ) ) ).
% 0.87/0.92
% 0.87/0.92 fof(mDefLE,definition,
% 0.87/0.92 ! [W0,W1] :
% 0.87/0.92 ( ( aNaturalNumber0(W0)
% 0.87/0.92 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( sdtlseqdt0(W0,W1)
% 0.87/0.93 <=> ? [W2] :
% 0.87/0.93 ( aNaturalNumber0(W2)
% 0.87/0.93 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDefDiff,definition,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( sdtlseqdt0(W0,W1)
% 0.87/0.93 => ! [W2] :
% 0.87/0.93 ( W2 = sdtmndt0(W1,W0)
% 0.87/0.93 <=> ( aNaturalNumber0(W2)
% 0.87/0.93 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mLERefl,axiom,
% 0.87/0.93 ! [W0] :
% 0.87/0.93 ( aNaturalNumber0(W0)
% 0.87/0.93 => sdtlseqdt0(W0,W0) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mLEAsym,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( sdtlseqdt0(W0,W1)
% 0.87/0.93 & sdtlseqdt0(W1,W0) )
% 0.87/0.93 => W0 = W1 ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mLETran,axiom,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( sdtlseqdt0(W0,W1)
% 0.87/0.93 & sdtlseqdt0(W1,W2) )
% 0.87/0.93 => sdtlseqdt0(W0,W2) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mLETotal,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( sdtlseqdt0(W0,W1)
% 0.87/0.93 | ( W1 != W0
% 0.87/0.93 & sdtlseqdt0(W1,W0) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mMonAdd,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( W0 != W1
% 0.87/0.93 & sdtlseqdt0(W0,W1) )
% 0.87/0.93 => ! [W2] :
% 0.87/0.93 ( aNaturalNumber0(W2)
% 0.87/0.93 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 0.87/0.93 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 0.87/0.93 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 0.87/0.93 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mMonMul,axiom,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( W0 != sz00
% 0.87/0.93 & W1 != W2
% 0.87/0.93 & sdtlseqdt0(W1,W2) )
% 0.87/0.93 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 0.87/0.93 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.87/0.93 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 0.87/0.93 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mLENTr,axiom,
% 0.87/0.93 ! [W0] :
% 0.87/0.93 ( aNaturalNumber0(W0)
% 0.87/0.93 => ( W0 = sz00
% 0.87/0.93 | W0 = sz10
% 0.87/0.93 | ( sz10 != W0
% 0.87/0.93 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mMonMul2,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( W0 != sz00
% 0.87/0.93 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mIH,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( iLess0(W0,W1)
% 0.87/0.93 => $true ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mIH_03,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( W0 != W1
% 0.87/0.93 & sdtlseqdt0(W0,W1) )
% 0.87/0.93 => iLess0(W0,W1) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDefDiv,definition,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( doDivides0(W0,W1)
% 0.87/0.93 <=> ? [W2] :
% 0.87/0.93 ( aNaturalNumber0(W2)
% 0.87/0.93 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDefQuot,definition,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( W0 != sz00
% 0.87/0.93 & doDivides0(W0,W1) )
% 0.87/0.93 => ! [W2] :
% 0.87/0.93 ( W2 = sdtsldt0(W1,W0)
% 0.87/0.93 <=> ( aNaturalNumber0(W2)
% 0.87/0.93 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDivTrans,axiom,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( doDivides0(W0,W1)
% 0.87/0.93 & doDivides0(W1,W2) )
% 0.87/0.93 => doDivides0(W0,W2) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDivSum,axiom,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( doDivides0(W0,W1)
% 0.87/0.93 & doDivides0(W0,W2) )
% 0.87/0.93 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDivMin,axiom,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( doDivides0(W0,W1)
% 0.87/0.93 & doDivides0(W0,sdtpldt0(W1,W2)) )
% 0.87/0.93 => doDivides0(W0,W2) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDivLE,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( doDivides0(W0,W1)
% 0.87/0.93 & W1 != sz00 )
% 0.87/0.93 => sdtlseqdt0(W0,W1) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDivAsso,axiom,
% 0.87/0.93 ! [W0,W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1) )
% 0.87/0.93 => ( ( W0 != sz00
% 0.87/0.93 & doDivides0(W0,W1) )
% 0.87/0.93 => ! [W2] :
% 0.87/0.93 ( aNaturalNumber0(W2)
% 0.87/0.93 => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mDefPrime,definition,
% 0.87/0.93 ! [W0] :
% 0.87/0.93 ( aNaturalNumber0(W0)
% 0.87/0.93 => ( isPrime0(W0)
% 0.87/0.93 <=> ( W0 != sz00
% 0.87/0.93 & W0 != sz10
% 0.87/0.93 & ! [W1] :
% 0.87/0.93 ( ( aNaturalNumber0(W1)
% 0.87/0.93 & doDivides0(W1,W0) )
% 0.87/0.93 => ( W1 = sz10
% 0.87/0.93 | W1 = W0 ) ) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(mPrimDiv,axiom,
% 0.87/0.93 ! [W0] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & W0 != sz00
% 0.87/0.93 & W0 != sz10 )
% 0.87/0.93 => ? [W1] :
% 0.87/0.93 ( aNaturalNumber0(W1)
% 0.87/0.93 & doDivides0(W1,W0)
% 0.87/0.93 & isPrime0(W1) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__1837,hypothesis,
% 0.87/0.93 ( aNaturalNumber0(xn)
% 0.87/0.93 & aNaturalNumber0(xm)
% 0.87/0.93 & aNaturalNumber0(xp) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__1799,hypothesis,
% 0.87/0.93 ! [W0,W1,W2] :
% 0.87/0.93 ( ( aNaturalNumber0(W0)
% 0.87/0.93 & aNaturalNumber0(W1)
% 0.87/0.93 & aNaturalNumber0(W2) )
% 0.87/0.93 => ( ( isPrime0(W2)
% 0.87/0.93 & doDivides0(W2,sdtasdt0(W0,W1)) )
% 0.87/0.93 => ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
% 0.87/0.93 => ( doDivides0(W2,W0)
% 0.87/0.93 | doDivides0(W2,W1) ) ) ) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__1860,hypothesis,
% 0.87/0.93 ( isPrime0(xp)
% 0.87/0.93 & doDivides0(xp,sdtasdt0(xn,xm)) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__1870,hypothesis,
% 0.87/0.93 ~ sdtlseqdt0(xp,xn) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2075,hypothesis,
% 0.87/0.93 ~ sdtlseqdt0(xp,xm) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2287,hypothesis,
% 0.87/0.93 ( xn != xp
% 0.87/0.93 & sdtlseqdt0(xn,xp)
% 0.87/0.93 & xm != xp
% 0.87/0.93 & sdtlseqdt0(xm,xp) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2306,hypothesis,
% 0.87/0.93 xk = sdtsldt0(sdtasdt0(xn,xm),xp) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2315,hypothesis,
% 0.87/0.93 ~ ( xk = sz00
% 0.87/0.93 | xk = sz10 ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2327,hypothesis,
% 0.87/0.93 ( xk != sz00
% 0.87/0.93 & xk != sz10 ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2342,hypothesis,
% 0.87/0.93 ( aNaturalNumber0(xr)
% 0.87/0.93 & doDivides0(xr,xk)
% 0.87/0.93 & isPrime0(xr) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__2362,hypothesis,
% 0.87/0.93 ( sdtlseqdt0(xr,xk)
% 0.87/0.93 & doDivides0(xr,sdtasdt0(xn,xm)) ) ).
% 0.87/0.93
% 0.87/0.93 fof(m__,conjecture,
% 0.87/0.93 ( ~ sdtlseqdt0(xp,xk)
% 0.87/0.93 => ( xk != xp
% 0.87/0.93 & sdtlseqdt0(xk,xp) ) ) ).
% 0.87/0.93
% 0.87/0.93 %------------------------------------------------------------------------------
% 0.87/0.93 %-------------------------------------------
% 0.87/0.93 % Proof found
% 0.87/0.93 % SZS status Theorem for theBenchmark
% 0.87/0.93 % SZS output start Proof
% 0.87/0.93 %ClaNum:116(EqnAxiom:25)
% 0.87/0.93 %VarNum:440(SingletonVarNum:131)
% 0.87/0.93 %MaxLitNum:8
% 0.87/0.93 %MaxfuncDepth:2
% 0.87/0.93 %SharedTerms:36
% 0.87/0.93 %goalClause: 50 53
% 0.87/0.93 %singleGoalClaCount:1
% 0.87/0.93 [26]P1(a1)
% 0.87/0.93 [27]P1(a10)
% 0.87/0.93 [28]P1(a11)
% 0.87/0.93 [29]P1(a12)
% 0.87/0.93 [30]P1(a14)
% 0.87/0.93 [31]P1(a15)
% 0.87/0.93 [32]P2(a14)
% 0.87/0.93 [33]P2(a15)
% 0.87/0.93 [34]P5(a11,a14)
% 0.87/0.93 [35]P5(a12,a14)
% 0.87/0.93 [36]P5(a15,a13)
% 0.87/0.93 [37]P3(a15,a13)
% 0.87/0.93 [41]~E(a1,a10)
% 0.87/0.93 [42]~E(a14,a11)
% 0.87/0.93 [43]~E(a14,a12)
% 0.87/0.93 [45]~E(a1,a13)
% 0.87/0.93 [47]~E(a13,a10)
% 0.87/0.93 [48]~P5(a14,a11)
% 0.87/0.93 [49]~P5(a14,a12)
% 0.87/0.93 [50]~P5(a14,a13)
% 0.87/0.93 [39]P3(a14,f2(a11,a12))
% 0.87/0.93 [40]P3(a15,f2(a11,a12))
% 0.87/0.93 [38]E(f7(f2(a11,a12),a14),a13)
% 0.87/0.93 [53]E(a13,a14)+~P5(a13,a14)
% 0.87/0.93 [62]~P1(x621)+P5(x621,x621)
% 0.87/0.93 [54]~P1(x541)+E(f2(a1,x541),a1)
% 0.87/0.93 [55]~P1(x551)+E(f2(x551,a1),a1)
% 0.87/0.93 [56]~P1(x561)+E(f8(a1,x561),x561)
% 0.87/0.93 [57]~P1(x571)+E(f2(a10,x571),x571)
% 0.87/0.93 [58]~P1(x581)+E(f8(x581,a1),x581)
% 0.87/0.93 [59]~P1(x591)+E(f2(x591,a10),x591)
% 0.87/0.93 [51]~P1(x511)+~P2(x511)+~E(x511,a1)
% 0.87/0.93 [52]~P1(x521)+~P2(x521)+~E(x521,a10)
% 0.87/0.93 [73]~P1(x732)+~P1(x731)+E(f8(x731,x732),f8(x732,x731))
% 0.87/0.93 [74]~P1(x742)+~P1(x741)+E(f2(x741,x742),f2(x742,x741))
% 0.87/0.93 [76]~P1(x762)+~P1(x761)+P1(f8(x761,x762))
% 0.87/0.93 [77]~P1(x772)+~P1(x771)+P1(f2(x771,x772))
% 0.87/0.93 [64]~P1(x641)+E(x641,a10)+P5(a10,x641)+E(x641,a1)
% 0.87/0.93 [60]~P1(x601)+E(x601,a10)+E(x601,a1)+P1(f3(x601))
% 0.87/0.93 [61]~P1(x611)+E(x611,a10)+E(x611,a1)+P2(f3(x611))
% 0.87/0.93 [67]~P1(x671)+E(x671,a10)+P3(f3(x671),x671)+E(x671,a1)
% 0.87/0.93 [68]~E(x682,x681)+~P1(x681)+~P1(x682)+P5(x681,x682)
% 0.87/0.93 [75]P5(x752,x751)+~P1(x751)+~P1(x752)+P5(x751,x752)
% 0.87/0.93 [70]~P1(x702)+~P1(x701)+E(x701,a1)+~E(f8(x702,x701),a1)
% 0.87/0.94 [71]~P1(x712)+~P1(x711)+E(x711,a1)+~E(f8(x711,x712),a1)
% 0.87/0.94 [81]~P1(x812)+~P1(x811)+P5(x812,f2(x812,x811))+E(x811,a1)
% 0.87/0.94 [87]~P1(x872)+~P1(x871)+~P5(x871,x872)+P1(f5(x871,x872))
% 0.87/0.94 [88]~P1(x882)+~P1(x881)+~P3(x881,x882)+P1(f6(x881,x882))
% 0.87/0.94 [95]~P1(x951)+~P1(x952)+~P3(x951,x952)+E(f2(x951,f6(x951,x952)),x952)
% 0.87/0.94 [96]~P1(x962)+~P1(x961)+~P5(x961,x962)+E(f8(x961,f5(x961,x962)),x962)
% 0.87/0.94 [105]~P1(x1053)+~P1(x1052)+~P1(x1051)+E(f8(f8(x1051,x1052),x1053),f8(x1051,f8(x1052,x1053)))
% 0.87/0.94 [106]~P1(x1063)+~P1(x1062)+~P1(x1061)+E(f2(f2(x1061,x1062),x1063),f2(x1061,f2(x1062,x1063)))
% 0.87/0.94 [114]~P1(x1143)+~P1(x1142)+~P1(x1141)+E(f8(f2(x1141,x1142),f2(x1141,x1143)),f2(x1141,f8(x1142,x1143)))
% 0.87/0.94 [115]~P1(x1152)+~P1(x1153)+~P1(x1151)+E(f8(f2(x1151,x1152),f2(x1153,x1152)),f2(f8(x1151,x1153),x1152))
% 0.87/0.94 [63]P2(x631)+~P1(x631)+E(x631,a10)+E(x631,a1)+~E(f4(x631),a10)
% 0.87/0.94 [65]P2(x651)+~P1(x651)+E(x651,a10)+~E(f4(x651),x651)+E(x651,a1)
% 0.87/0.94 [66]P2(x661)+~P1(x661)+E(x661,a10)+E(x661,a1)+P1(f4(x661))
% 0.87/0.94 [69]P2(x691)+~P1(x691)+E(x691,a10)+P3(f4(x691),x691)+E(x691,a1)
% 0.87/0.94 [79]~P1(x791)+~P1(x792)+~P3(x792,x791)+P5(x792,x791)+E(x791,a1)
% 0.87/0.94 [80]P4(x801,x802)+~P1(x802)+~P1(x801)+~P5(x801,x802)+E(x801,x802)
% 0.87/0.94 [84]~P1(x842)+~P1(x841)+~P5(x842,x841)+~P5(x841,x842)+E(x841,x842)
% 0.87/0.94 [72]~P1(x721)+~P1(x722)+E(x721,a1)+E(x722,a1)+~E(f2(x722,x721),a1)
% 0.87/0.94 [82]~P1(x821)+~P1(x822)+~P1(x823)+P3(x821,x822)+~E(x822,f2(x821,x823))
% 0.87/0.94 [83]~P1(x832)+~P1(x831)+~P1(x833)+P5(x831,x832)+~E(f8(x831,x833),x832)
% 0.87/0.94 [85]~P1(x853)+~P1(x852)+~P5(x853,x852)+P1(x851)+~E(x851,f9(x852,x853))
% 0.87/0.94 [89]~P1(x892)+~P1(x891)+~P1(x893)+E(x891,x892)+~E(f8(x893,x891),f8(x893,x892))
% 0.87/0.94 [90]~P1(x902)+~P1(x903)+~P1(x901)+E(x901,x902)+~E(f8(x901,x903),f8(x902,x903))
% 0.87/0.94 [93]~P1(x933)+~P1(x931)+~P5(x931,x933)+~E(x932,f9(x933,x931))+E(f8(x931,x932),x933)
% 0.87/0.94 [78]~P1(x782)+~P1(x781)+~P2(x782)+~P3(x781,x782)+E(x781,x782)+E(x781,a10)
% 0.87/0.94 [97]~P1(x972)+~P1(x971)+~P5(x973,x972)+~P5(x971,x973)+P5(x971,x972)+~P1(x973)
% 0.87/0.94 [98]~P1(x982)+~P1(x981)+~P3(x983,x982)+~P3(x981,x983)+P3(x981,x982)+~P1(x983)
% 0.87/0.94 [86]~P1(x861)+~P1(x863)+~P3(x861,x863)+P1(x862)+E(x861,a1)+~E(x862,f7(x863,x861))
% 0.87/0.94 [91]~P1(x912)+~P1(x911)+~P1(x913)+E(x911,x912)+~E(f2(x913,x911),f2(x913,x912))+E(x913,a1)
% 0.87/0.94 [92]~P1(x922)+~P1(x923)+~P1(x921)+E(x921,x922)+~E(f2(x921,x923),f2(x922,x923))+E(x923,a1)
% 0.87/0.94 [94]~P1(x941)+~P1(x942)+~P3(x941,x942)+~E(x943,f7(x942,x941))+E(x941,a1)+E(x942,f2(x941,x943))
% 0.87/0.94 [99]~P1(x992)+~P1(x993)+~P1(x991)+~P5(x993,x992)+~E(f8(x993,x991),x992)+E(x991,f9(x992,x993))
% 0.87/0.94 [107]~P1(x1073)+~P1(x1072)+~P1(x1071)+~P3(x1071,x1073)+~P3(x1071,x1072)+P3(x1071,f8(x1072,x1073))
% 0.87/0.94 [108]~P1(x1082)+~P1(x1081)+~P1(x1083)+~P5(x1081,x1082)+E(x1081,x1082)+P5(f8(x1083,x1081),f8(x1083,x1082))
% 0.87/0.94 [109]~P1(x1092)+~P1(x1093)+~P1(x1091)+~P5(x1091,x1092)+E(x1091,x1092)+P5(f8(x1091,x1093),f8(x1092,x1093))
% 0.87/0.94 [112]~P1(x1122)+~P1(x1121)+~P3(x1121,x1123)+P3(x1121,x1122)+~P1(x1123)+~P3(x1121,f8(x1123,x1122))
% 0.87/0.94 [113]~P1(x1132)+~P1(x1133)+~P1(x1131)+~P3(x1131,x1133)+E(x1131,a1)+E(f7(f2(x1132,x1133),x1131),f2(x1132,f7(x1133,x1131)))
% 0.87/0.94 [100]~P1(x1001)+~P1(x1003)+~P1(x1002)+~P3(x1001,x1003)+~E(x1003,f2(x1001,x1002))+E(x1001,a1)+E(x1002,f7(x1003,x1001))
% 0.87/0.94 [110]~P1(x1102)+~P1(x1101)+~P1(x1103)+~P5(x1101,x1102)+E(x1101,x1102)+P5(f2(x1103,x1101),f2(x1103,x1102))+E(x1103,a1)
% 0.87/0.94 [111]~P1(x1112)+~P1(x1113)+~P1(x1111)+~P5(x1111,x1112)+E(x1111,x1112)+P5(f2(x1111,x1113),f2(x1112,x1113))+E(x1113,a1)
% 0.87/0.94 [116]~P1(x1161)+~P1(x1162)+~P1(x1163)+~P2(x1161)+P3(x1161,x1162)+P3(x1161,x1163)+~P3(x1161,f2(x1163,x1162))+~P4(f8(f8(x1163,x1162),x1161),f8(f8(a11,a12),a14))
% 0.87/0.94 %EqnAxiom
% 0.87/0.94 [1]E(x11,x11)
% 0.87/0.94 [2]E(x22,x21)+~E(x21,x22)
% 0.87/0.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.87/0.94 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.87/0.94 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.87/0.94 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.87/0.94 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.87/0.94 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.87/0.94 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.87/0.94 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.87/0.94 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.87/0.94 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 0.87/0.94 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 0.87/0.94 [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143))
% 0.87/0.94 [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152))
% 0.87/0.94 [16]~E(x161,x162)+E(f4(x161),f4(x162))
% 0.87/0.94 [17]~E(x171,x172)+E(f3(x171),f3(x172))
% 0.87/0.94 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.87/0.94 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.87/0.94 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.87/0.94 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213)
% 0.87/0.94 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221)
% 0.87/0.94 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.87/0.94 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.87/0.94 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.87/0.94
% 0.87/0.94 %-------------------------------------------
% 0.87/0.94 cnf(117,plain,
% 0.87/0.94 (E(a13,f7(f2(a11,a12),a14))),
% 0.87/0.94 inference(scs_inference,[],[38,2])).
% 0.87/0.94 cnf(119,plain,
% 0.87/0.94 (~E(a15,a14)),
% 0.87/0.94 inference(scs_inference,[],[50,36,38,2,25,24])).
% 0.87/0.94 cnf(122,plain,
% 0.87/0.94 (P5(a1,a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,36,37,45,38,2,25,24,22,3,75])).
% 0.87/0.94 cnf(124,plain,
% 0.87/0.94 (P5(a10,a10)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,36,37,45,38,2,25,24,22,3,75,62])).
% 0.87/0.94 cnf(126,plain,
% 0.87/0.94 (E(f2(a1,a10),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,36,37,45,38,2,25,24,22,3,75,62,59])).
% 0.87/0.94 cnf(128,plain,
% 0.87/0.94 (E(f8(a1,a1),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,36,37,45,38,2,25,24,22,3,75,62,59,58])).
% 0.87/0.94 cnf(132,plain,
% 0.87/0.94 (E(f8(a1,a10),a10)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56])).
% 0.87/0.94 cnf(134,plain,
% 0.87/0.94 (E(f2(a1,a1),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56,55])).
% 0.87/0.94 cnf(152,plain,
% 0.87/0.94 (~E(a14,x1521)+P2(x1521)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,32,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23])).
% 0.87/0.94 cnf(153,plain,
% 0.87/0.94 (~E(a14,a10)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52])).
% 0.87/0.94 cnf(155,plain,
% 0.87/0.94 (~E(a14,a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51])).
% 0.87/0.94 cnf(157,plain,
% 0.87/0.94 (P1(f2(a1,a1))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77])).
% 0.87/0.94 cnf(161,plain,
% 0.87/0.94 (~E(a11,a14)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68])).
% 0.87/0.94 cnf(165,plain,
% 0.87/0.94 (~E(f8(a14,a1),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71])).
% 0.87/0.94 cnf(167,plain,
% 0.87/0.94 (~E(f8(a1,a14),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70])).
% 0.87/0.94 cnf(171,plain,
% 0.87/0.94 (P2(f3(a14))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61])).
% 0.87/0.94 cnf(173,plain,
% 0.87/0.94 (P1(f3(a14))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60])).
% 0.87/0.94 cnf(179,plain,
% 0.87/0.94 (E(f8(a11,f5(a11,a14)),a14)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60,106,105,96])).
% 0.87/0.94 cnf(181,plain,
% 0.87/0.94 (E(f8(f2(a1,a1),f2(a1,a1)),f2(f8(a1,a1),a1))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60,106,105,96,115])).
% 0.87/0.94 cnf(183,plain,
% 0.87/0.94 (E(f8(f2(a1,a1),f2(a1,a1)),f2(a1,f8(a1,a1)))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60,106,105,96,115,114])).
% 0.87/0.94 cnf(189,plain,
% 0.87/0.94 (~E(f2(a14,a14),a1)),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60,106,105,96,115,114,80,83,72])).
% 0.87/0.94 cnf(197,plain,
% 0.87/0.94 (~E(f2(a14,a14),f2(a14,a1))),
% 0.87/0.94 inference(scs_inference,[],[50,26,27,28,30,32,34,36,37,41,45,48,38,2,25,24,22,3,75,62,59,58,57,56,55,54,17,16,15,14,13,12,11,10,9,8,7,6,5,4,23,52,51,77,76,68,81,71,70,87,61,60,106,105,96,115,114,80,83,72,90,89,92,91])).
% 0.87/0.94 cnf(230,plain,
% 0.87/0.94 (~E(a15,a10)),
% 0.87/0.94 inference(scs_inference,[],[31,33,52])).
% 0.87/0.94 cnf(238,plain,
% 0.87/0.94 (P5(a10,a14)),
% 0.87/0.94 inference(scs_inference,[],[49,29,31,33,30,153,155,52,77,76,68,64])).
% 0.87/0.94 cnf(242,plain,
% 0.87/0.94 (P3(f3(a14),a14)),
% 0.87/0.94 inference(scs_inference,[],[49,29,31,33,30,153,155,52,77,76,68,64,70,67])).
% 0.87/0.94 cnf(246,plain,
% 0.87/0.94 (E(f2(f3(a14),f6(f3(a14),a14)),a14)),
% 0.87/0.94 inference(scs_inference,[],[49,29,31,33,30,173,153,155,52,77,76,68,64,70,67,106,95])).
% 0.87/0.94 cnf(253,plain,
% 0.87/0.94 (~P5(f8(a11,f5(a11,a14)),a13)),
% 0.87/0.94 inference(scs_inference,[],[50,49,29,31,33,35,47,30,173,179,153,155,52,77,76,68,64,70,67,106,95,114,80,2,24])).
% 0.87/0.94 cnf(255,plain,
% 0.87/0.94 (P5(a14,f2(a14,a14))),
% 0.87/0.94 inference(scs_inference,[],[50,49,29,31,33,35,47,30,173,117,179,153,155,52,77,76,68,64,70,67,106,95,114,80,2,24,3,81])).
% 0.87/0.94 cnf(273,plain,
% 0.87/0.94 (~E(a15,a1)),
% 0.87/0.94 inference(scs_inference,[],[50,49,29,31,33,35,47,27,34,28,30,26,122,173,117,179,167,124,153,155,161,52,77,76,68,64,70,67,106,95,114,80,2,24,3,81,88,87,105,96,115,93,109,108,51])).
% 0.87/0.94 cnf(281,plain,
% 0.87/0.94 (~P3(a15,a14)+~E(a12,x2811)),
% 0.87/0.94 inference(scs_inference,[],[50,49,29,31,33,35,47,32,27,34,28,38,30,26,122,173,117,179,167,119,124,153,155,161,52,77,76,68,64,70,67,106,95,114,80,2,24,3,81,88,87,105,96,115,93,109,108,51,25,18,74,73,78])).
% 0.87/0.94 cnf(307,plain,
% 0.87/0.94 (~E(a12,f2(a11,a12))+~P3(a15,a15)+~P3(a12,a15)+E(f7(f2(a15,a15),a15),f2(a15,f7(a15,a15)))),
% 0.87/0.94 inference(scs_inference,[],[50,49,29,31,33,35,47,40,39,32,27,34,28,38,30,26,122,128,173,117,179,165,167,119,124,153,155,161,52,77,76,68,64,70,67,106,95,114,80,2,24,3,81,88,87,105,96,115,93,109,108,51,25,18,74,73,78,112,99,94,61,60,71,72,22,21,69,65,98,107,113])).
% 0.87/0.94 cnf(312,plain,
% 0.87/0.94 (~P3(a15,a14)),
% 0.87/0.94 inference(equality_inference,[],[281])).
% 0.87/0.94 cnf(313,plain,
% 0.87/0.94 (E(a1,f9(a1,a1))),
% 0.87/0.94 inference(scs_inference,[],[26,128,122,99])).
% 0.87/0.94 cnf(333,plain,
% 0.87/0.94 (E(f8(a10,f5(a10,a14)),a14)),
% 0.87/0.94 inference(scs_inference,[],[26,27,31,30,157,134,242,238,230,273,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96])).
% 0.87/0.94 cnf(340,plain,
% 0.87/0.94 (P1(f5(a10,a14))),
% 0.87/0.94 inference(scs_inference,[],[26,49,27,31,30,157,134,242,238,246,230,273,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87])).
% 0.87/0.94 cnf(342,plain,
% 0.87/0.94 (~P2(f2(a1,a1))),
% 0.87/0.94 inference(scs_inference,[],[26,49,27,31,30,157,134,242,238,246,230,273,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51])).
% 0.87/0.94 cnf(345,plain,
% 0.87/0.94 (~E(f3(a14),a15)),
% 0.87/0.94 inference(scs_inference,[],[26,49,27,31,30,157,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21])).
% 0.87/0.94 cnf(346,plain,
% 0.87/0.94 (E(f2(a1,a10),f9(a1,a1))),
% 0.87/0.94 inference(scs_inference,[],[26,49,27,31,30,157,126,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3])).
% 0.87/0.94 cnf(347,plain,
% 0.87/0.94 (E(f2(a1,f8(a1,a1)),f8(f2(a1,a1),f2(a1,a1)))),
% 0.87/0.94 inference(scs_inference,[],[26,49,27,31,30,157,183,126,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2])).
% 0.87/0.94 cnf(349,plain,
% 0.87/0.94 (~P5(a13,a14)),
% 0.87/0.94 inference(scs_inference,[],[26,37,49,27,31,30,157,183,126,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53])).
% 0.87/0.94 cnf(350,plain,
% 0.87/0.94 (~P1(f2(a11,a12))+P1(a13)),
% 0.87/0.94 inference(scs_inference,[],[26,37,39,49,117,27,31,30,157,183,126,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86])).
% 0.87/0.94 cnf(352,plain,
% 0.87/0.94 (P1(a13)+~E(f2(a11,a12),f9(a14,a12))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,30,157,183,126,134,242,238,246,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85])).
% 0.87/0.94 cnf(354,plain,
% 0.87/0.94 (P5(a1,a10)+P1(a13)),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83])).
% 0.87/0.94 cnf(360,plain,
% 0.87/0.94 (P1(a13)+~E(a14,f2(a15,a1))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82])).
% 0.87/0.94 cnf(362,plain,
% 0.87/0.94 (~P3(a15,f3(a14))+P1(a13)),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98])).
% 0.87/0.94 cnf(364,plain,
% 0.87/0.94 (P1(a13)+P2(f3(a15))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61])).
% 0.87/0.94 cnf(366,plain,
% 0.87/0.94 (~P1(f7(f2(a11,a12),a14))+P1(a13)),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18])).
% 0.87/0.94 cnf(367,plain,
% 0.87/0.94 (~P5(a14,a10)+P1(a13)),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,153,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18,84])).
% 0.87/0.94 cnf(369,plain,
% 0.87/0.94 (P1(a13)+P3(f3(a15),a15)),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,28,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,153,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18,84,77,67])).
% 0.87/0.94 cnf(371,plain,
% 0.87/0.94 (P1(a13)+P1(f3(a15))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,28,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,153,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18,84,77,67,60])).
% 0.87/0.94 cnf(373,plain,
% 0.87/0.94 (P1(a13)+P1(f6(f3(a15),a15))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,28,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,153,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18,84,77,67,60,88])).
% 0.87/0.94 cnf(375,plain,
% 0.87/0.94 (P1(a13)+~E(a14,f2(a1,a1))),
% 0.87/0.94 inference(scs_inference,[],[26,35,37,39,49,117,27,31,28,29,38,30,157,183,126,134,242,238,246,132,230,273,312,128,122,173,153,50,155,99,70,106,79,107,92,91,68,81,105,96,115,114,24,87,51,25,21,3,2,22,53,86,85,83,75,64,82,98,61,18,84,77,67,60,88,152])).
% 0.87/0.94 cnf(383,plain,
% 0.87/0.94 (P1(f2(a1,a10))),
% 0.87/0.94 inference(scs_inference,[],[26,33,342,346,122,23,85])).
% 0.87/0.94 cnf(384,plain,
% 0.87/0.94 (~P1(x3841)+P1(x3842)+~E(x3842,f9(x3841,x3843))+~P1(x3843)+~P5(x3843,x3841)),
% 0.87/0.94 inference(rename_variables,[],[85])).
% 0.87/0.94 cnf(391,plain,
% 0.87/0.94 (~E(f3(a14),a1)),
% 0.87/0.94 inference(scs_inference,[],[26,33,28,31,342,346,171,122,173,273,23,85,72,77,93,51])).
% 0.87/0.94 cnf(394,plain,
% 0.87/0.94 (E(f2(a1,f8(a1,a1)),f2(f8(a1,a1),a1))),
% 0.87/0.94 inference(scs_inference,[],[26,36,33,28,31,342,181,347,346,171,253,122,173,273,23,85,72,77,93,51,24,3])).
% 0.87/0.94 cnf(406,plain,
% 0.87/0.94 (P1(f3(a15))),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371])).
% 0.87/0.94 cnf(407,plain,
% 0.87/0.94 (P3(f3(a15),a15)),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371,369])).
% 0.87/0.94 cnf(408,plain,
% 0.87/0.94 (~P5(a14,a10)),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371,369,367])).
% 0.87/0.94 cnf(410,plain,
% 0.87/0.94 (P2(f3(a15))),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371,369,367,366,364])).
% 0.87/0.94 cnf(413,plain,
% 0.87/0.94 (P5(a1,a10)),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371,369,367,366,364,362,360,354])).
% 0.87/0.94 cnf(415,plain,
% 0.87/0.94 (~P1(f2(a11,a12))),
% 0.87/0.94 inference(scs_inference,[],[26,45,36,33,40,48,28,31,30,342,181,347,346,171,255,253,349,122,312,50,173,273,23,85,72,77,93,51,24,3,2,25,22,116,75,384,375,373,371,369,367,366,364,362,360,354,352,350])).
% 0.87/0.94 cnf(453,plain,
% 0.87/0.94 (P1(f2(a10,a10))),
% 0.87/0.94 inference(scs_inference,[],[27,41,28,31,30,415,406,410,333,391,407,413,340,124,238,173,273,26,99,52,107,92,84,75,79,18,85,77])).
% 0.87/0.94 cnf(470,plain,
% 0.87/0.94 (P3(a15,a15)),
% 0.87/0.94 inference(scs_inference,[],[27,45,49,41,33,28,31,30,394,415,313,345,383,406,410,333,391,407,413,340,126,255,124,238,173,312,273,26,99,52,107,92,84,75,79,18,85,77,51,3,24,2,22,25,97,95,78,91,21])).
% 0.87/0.94 cnf(480,plain,
% 0.87/0.94 (P4(a1,a10)),
% 0.87/0.94 inference(scs_inference,[],[27,45,49,41,33,34,28,29,31,30,394,415,313,345,383,189,406,410,333,391,407,413,340,197,126,255,124,161,238,173,155,312,273,26,99,52,107,92,84,75,79,18,85,77,51,3,24,2,22,25,97,95,78,91,21,307,94,110,86,83,80])).
% 0.87/0.94 cnf(512,plain,
% 0.87/0.94 ($false),
% 0.87/0.94 inference(scs_inference,[],[27,117,28,29,31,30,453,408,470,480,313,132,413,415,273,26,59,56,54,58,57,55,16,13,12,11,6,19,99,83,52,79,18,77]),
% 0.87/0.94 ['proof']).
% 0.87/0.94 % SZS output end Proof
% 0.87/0.94 % Total time :0.270000s
%------------------------------------------------------------------------------