TSTP Solution File: NUM475+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 0.19s 0.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 15:11:37 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % File :CSE---1.6
% 0.19/0.67 % Problem :theBenchmark
% 0.19/0.67 % Transform :cnf
% 0.19/0.67 % Format :tptp:raw
% 0.19/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.67
% 0.19/0.67 % Result :Theorem 0.060000s
% 0.19/0.67 % Output :CNFRefutation 0.060000s
% 0.19/0.67 %-------------------------------------------
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 % File : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.68 % Domain : Number Theory
% 0.19/0.68 % Problem : Square root of a prime is irrational 10_06, 01 expansion
% 0.19/0.68 % Version : Especial.
% 0.19/0.68 % English :
% 0.19/0.68
% 0.19/0.68 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 0.19/0.68 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.19/0.68 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.19/0.68 % Source : [Pas08]
% 0.19/0.68 % Names : primes_10_06.01 [Pas08]
% 0.19/0.68
% 0.19/0.68 % Status : Theorem
% 0.19/0.68 % Rating : 0.25 v8.1.0, 0.31 v7.5.0, 0.28 v7.4.0, 0.23 v7.3.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.28 v6.1.0, 0.40 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.58 v4.1.0, 0.61 v4.0.1, 0.74 v4.0.0
% 0.19/0.68 % Syntax : Number of formulae : 42 ( 4 unt; 4 def)
% 0.19/0.68 % Number of atoms : 176 ( 59 equ)
% 0.19/0.68 % Maximal formula atoms : 10 ( 4 avg)
% 0.19/0.68 % Number of connectives : 149 ( 15 ~; 6 |; 75 &)
% 0.19/0.68 % ( 4 <=>; 49 =>; 0 <=; 0 <~>)
% 0.19/0.68 % Maximal formula depth : 11 ( 5 avg)
% 0.19/0.68 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.68 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 0.19/0.68 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 0.19/0.68 % Number of variables : 73 ( 68 !; 5 ?)
% 0.19/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.68
% 0.19/0.68 % Comments : Problem generated by the SAD system [VLP07]
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 fof(mNatSort,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => $true ) ).
% 0.19/0.68
% 0.19/0.68 fof(mSortsC,axiom,
% 0.19/0.68 aNaturalNumber0(sz00) ).
% 0.19/0.68
% 0.19/0.68 fof(mSortsC_01,axiom,
% 0.19/0.68 ( aNaturalNumber0(sz10)
% 0.19/0.68 & sz10 != sz00 ) ).
% 0.19/0.68
% 0.19/0.68 fof(mSortsB,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mSortsB_02,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mAddComm,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mAddAsso,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(m_AddZero,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => ( sdtpldt0(W0,sz00) = W0
% 0.19/0.68 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mMulComm,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mMulAsso,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(m_MulUnit,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => ( sdtasdt0(W0,sz10) = W0
% 0.19/0.68 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(m_MulZero,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => ( sdtasdt0(W0,sz00) = sz00
% 0.19/0.68 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mAMDistr,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.19/0.68 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mAddCanc,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 0.19/0.68 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 0.19/0.68 => W1 = W2 ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mMulCanc,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => ( W0 != sz00
% 0.19/0.68 => ! [W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 0.19/0.68 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 0.19/0.68 => W1 = W2 ) ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mZeroAdd,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( sdtpldt0(W0,W1) = sz00
% 0.19/0.68 => ( W0 = sz00
% 0.19/0.68 & W1 = sz00 ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mZeroMul,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( sdtasdt0(W0,W1) = sz00
% 0.19/0.68 => ( W0 = sz00
% 0.19/0.68 | W1 = sz00 ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mDefLE,definition,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( sdtlseqdt0(W0,W1)
% 0.19/0.68 <=> ? [W2] :
% 0.19/0.68 ( aNaturalNumber0(W2)
% 0.19/0.68 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mDefDiff,definition,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( sdtlseqdt0(W0,W1)
% 0.19/0.68 => ! [W2] :
% 0.19/0.68 ( W2 = sdtmndt0(W1,W0)
% 0.19/0.68 <=> ( aNaturalNumber0(W2)
% 0.19/0.68 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mLERefl,axiom,
% 0.19/0.68 ! [W0] :
% 0.19/0.68 ( aNaturalNumber0(W0)
% 0.19/0.68 => sdtlseqdt0(W0,W0) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mLEAsym,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( ( sdtlseqdt0(W0,W1)
% 0.19/0.68 & sdtlseqdt0(W1,W0) )
% 0.19/0.68 => W0 = W1 ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mLETran,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.68 & aNaturalNumber0(W2) )
% 0.19/0.68 => ( ( sdtlseqdt0(W0,W1)
% 0.19/0.68 & sdtlseqdt0(W1,W2) )
% 0.19/0.68 => sdtlseqdt0(W0,W2) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mLETotal,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( sdtlseqdt0(W0,W1)
% 0.19/0.68 | ( W1 != W0
% 0.19/0.68 & sdtlseqdt0(W1,W0) ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mMonAdd,axiom,
% 0.19/0.68 ! [W0,W1] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1) )
% 0.19/0.68 => ( ( W0 != W1
% 0.19/0.68 & sdtlseqdt0(W0,W1) )
% 0.19/0.68 => ! [W2] :
% 0.19/0.68 ( aNaturalNumber0(W2)
% 0.19/0.68 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 0.19/0.68 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 0.19/0.68 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 0.19/0.68 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(mMonMul,axiom,
% 0.19/0.68 ! [W0,W1,W2] :
% 0.19/0.68 ( ( aNaturalNumber0(W0)
% 0.19/0.68 & aNaturalNumber0(W1)
% 0.19/0.69 & aNaturalNumber0(W2) )
% 0.19/0.69 => ( ( W0 != sz00
% 0.19/0.69 & W1 != W2
% 0.19/0.69 & sdtlseqdt0(W1,W2) )
% 0.19/0.69 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 0.19/0.69 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.19/0.69 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 0.19/0.69 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mLENTr,axiom,
% 0.19/0.69 ! [W0] :
% 0.19/0.69 ( aNaturalNumber0(W0)
% 0.19/0.69 => ( W0 = sz00
% 0.19/0.69 | W0 = sz10
% 0.19/0.69 | ( sz10 != W0
% 0.19/0.69 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mMonMul2,axiom,
% 0.19/0.69 ! [W0,W1] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1) )
% 0.19/0.69 => ( W0 != sz00
% 0.19/0.69 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mIH,axiom,
% 0.19/0.69 ! [W0,W1] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1) )
% 0.19/0.69 => ( iLess0(W0,W1)
% 0.19/0.69 => $true ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mIH_03,axiom,
% 0.19/0.69 ! [W0,W1] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1) )
% 0.19/0.69 => ( ( W0 != W1
% 0.19/0.69 & sdtlseqdt0(W0,W1) )
% 0.19/0.69 => iLess0(W0,W1) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mDefDiv,definition,
% 0.19/0.69 ! [W0,W1] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1) )
% 0.19/0.69 => ( doDivides0(W0,W1)
% 0.19/0.69 <=> ? [W2] :
% 0.19/0.69 ( aNaturalNumber0(W2)
% 0.19/0.69 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mDefQuot,definition,
% 0.19/0.69 ! [W0,W1] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1) )
% 0.19/0.69 => ( ( W0 != sz00
% 0.19/0.69 & doDivides0(W0,W1) )
% 0.19/0.69 => ! [W2] :
% 0.19/0.69 ( W2 = sdtsldt0(W1,W0)
% 0.19/0.69 <=> ( aNaturalNumber0(W2)
% 0.19/0.69 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mDivTrans,axiom,
% 0.19/0.69 ! [W0,W1,W2] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1)
% 0.19/0.69 & aNaturalNumber0(W2) )
% 0.19/0.69 => ( ( doDivides0(W0,W1)
% 0.19/0.69 & doDivides0(W1,W2) )
% 0.19/0.69 => doDivides0(W0,W2) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(mDivSum,axiom,
% 0.19/0.69 ! [W0,W1,W2] :
% 0.19/0.69 ( ( aNaturalNumber0(W0)
% 0.19/0.69 & aNaturalNumber0(W1)
% 0.19/0.69 & aNaturalNumber0(W2) )
% 0.19/0.69 => ( ( doDivides0(W0,W1)
% 0.19/0.69 & doDivides0(W0,W2) )
% 0.19/0.69 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1324,hypothesis,
% 0.19/0.69 ( aNaturalNumber0(xl)
% 0.19/0.69 & aNaturalNumber0(xm)
% 0.19/0.69 & aNaturalNumber0(xn) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1324_04,hypothesis,
% 0.19/0.69 ( ? [W0] :
% 0.19/0.69 ( aNaturalNumber0(W0)
% 0.19/0.69 & xm = sdtasdt0(xl,W0) )
% 0.19/0.69 & doDivides0(xl,xm)
% 0.19/0.69 & ? [W0] :
% 0.19/0.69 ( aNaturalNumber0(W0)
% 0.19/0.69 & sdtpldt0(xm,xn) = sdtasdt0(xl,W0) )
% 0.19/0.69 & doDivides0(xl,sdtpldt0(xm,xn)) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1347,hypothesis,
% 0.19/0.69 xl != sz00 ).
% 0.19/0.69
% 0.19/0.69 fof(m__1360,hypothesis,
% 0.19/0.69 ( aNaturalNumber0(xp)
% 0.19/0.69 & xm = sdtasdt0(xl,xp)
% 0.19/0.69 & xp = sdtsldt0(xm,xl) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1379,hypothesis,
% 0.19/0.69 ( aNaturalNumber0(xq)
% 0.19/0.69 & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
% 0.19/0.69 & xq = sdtsldt0(sdtpldt0(xm,xn),xl) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1395,hypothesis,
% 0.19/0.69 ( ? [W0] :
% 0.19/0.69 ( aNaturalNumber0(W0)
% 0.19/0.69 & sdtpldt0(xp,W0) = xq )
% 0.19/0.69 & sdtlseqdt0(xp,xq) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1422,hypothesis,
% 0.19/0.69 ( aNaturalNumber0(xr)
% 0.19/0.69 & sdtpldt0(xp,xr) = xq
% 0.19/0.69 & xr = sdtmndt0(xq,xp) ) ).
% 0.19/0.69
% 0.19/0.69 fof(m__1459,hypothesis,
% 0.19/0.69 sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn) ).
% 0.19/0.69
% 0.19/0.69 fof(m__,conjecture,
% 0.19/0.69 xn = sdtasdt0(xl,xr) ).
% 0.19/0.69
% 0.19/0.69 %------------------------------------------------------------------------------
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % Proof found
% 0.19/0.69 % SZS status Theorem for theBenchmark
% 0.19/0.69 % SZS output start Proof
% 0.19/0.69 %ClaNum:100(EqnAxiom:22)
% 0.19/0.69 %VarNum:348(SingletonVarNum:109)
% 0.19/0.69 %MaxLitNum:7
% 0.19/0.69 %MaxfuncDepth:2
% 0.19/0.69 %SharedTerms:51
% 0.19/0.69 %goalClause: 49
% 0.19/0.69 %singleGoalClaCount:1
% 0.19/0.69 [23]P1(a1)
% 0.19/0.69 [24]P1(a11)
% 0.19/0.69 [25]P1(a12)
% 0.19/0.69 [26]P1(a13)
% 0.19/0.69 [27]P1(a14)
% 0.19/0.69 [28]P1(a15)
% 0.19/0.69 [29]P1(a16)
% 0.19/0.69 [30]P1(a17)
% 0.19/0.69 [31]P1(a2)
% 0.19/0.69 [32]P1(a5)
% 0.19/0.69 [33]P1(a6)
% 0.19/0.69 [40]P2(a15,a16)
% 0.19/0.69 [41]P3(a12,a13)
% 0.19/0.69 [47]~E(a1,a11)
% 0.19/0.69 [48]~E(a1,a12)
% 0.19/0.69 [34]E(f7(a12,a15),a13)
% 0.19/0.69 [35]E(f7(a12,a2),a13)
% 0.19/0.69 [36]E(f8(a13,a12),a15)
% 0.19/0.69 [37]E(f9(a16,a15),a17)
% 0.19/0.69 [38]E(f10(a15,a17),a16)
% 0.19/0.69 [39]E(f10(a15,a6),a16)
% 0.19/0.69 [42]E(f10(a13,a14),f7(a12,a16))
% 0.19/0.69 [43]E(f10(a13,a14),f7(a12,a5))
% 0.19/0.69 [45]P3(a12,f10(a13,a14))
% 0.19/0.69 [49]~E(f7(a12,a17),a14)
% 0.19/0.69 [44]E(f8(f10(a13,a14),a12),a16)
% 0.19/0.69 [46]E(f10(f7(a12,a15),f7(a12,a17)),f10(f7(a12,a15),a14))
% 0.19/0.69 [56]~P1(x561)+P2(x561,x561)
% 0.19/0.69 [50]~P1(x501)+E(f7(a1,x501),a1)
% 0.19/0.69 [51]~P1(x511)+E(f7(x511,a1),a1)
% 0.19/0.69 [52]~P1(x521)+E(f10(a1,x521),x521)
% 0.19/0.69 [53]~P1(x531)+E(f7(a11,x531),x531)
% 0.19/0.69 [54]~P1(x541)+E(f10(x541,a1),x541)
% 0.19/0.69 [55]~P1(x551)+E(f7(x551,a11),x551)
% 0.19/0.69 [62]~P1(x622)+~P1(x621)+E(f10(x621,x622),f10(x622,x621))
% 0.19/0.69 [63]~P1(x632)+~P1(x631)+E(f7(x631,x632),f7(x632,x631))
% 0.19/0.69 [65]~P1(x652)+~P1(x651)+P1(f10(x651,x652))
% 0.19/0.69 [66]~P1(x662)+~P1(x661)+P1(f7(x661,x662))
% 0.19/0.69 [57]~P1(x571)+E(x571,a11)+P2(a11,x571)+E(x571,a1)
% 0.19/0.69 [58]~E(x582,x581)+~P1(x581)+~P1(x582)+P2(x581,x582)
% 0.19/0.69 [64]P2(x642,x641)+~P1(x641)+~P1(x642)+P2(x641,x642)
% 0.19/0.69 [59]~P1(x592)+~P1(x591)+E(x591,a1)+~E(f10(x592,x591),a1)
% 0.19/0.69 [60]~P1(x602)+~P1(x601)+E(x601,a1)+~E(f10(x601,x602),a1)
% 0.19/0.69 [68]~P1(x682)+~P1(x681)+P2(x682,f7(x682,x681))+E(x681,a1)
% 0.19/0.69 [74]~P1(x742)+~P1(x741)+~P2(x741,x742)+P1(f3(x741,x742))
% 0.19/0.69 [75]~P1(x752)+~P1(x751)+~P3(x751,x752)+P1(f4(x751,x752))
% 0.19/0.69 [82]~P1(x821)+~P1(x822)+~P3(x821,x822)+E(f7(x821,f4(x821,x822)),x822)
% 0.19/0.69 [83]~P1(x832)+~P1(x831)+~P2(x831,x832)+E(f10(x831,f3(x831,x832)),x832)
% 0.19/0.69 [92]~P1(x923)+~P1(x922)+~P1(x921)+E(f10(f10(x921,x922),x923),f10(x921,f10(x922,x923)))
% 0.19/0.69 [93]~P1(x933)+~P1(x932)+~P1(x931)+E(f7(f7(x931,x932),x933),f7(x931,f7(x932,x933)))
% 0.19/0.69 [99]~P1(x993)+~P1(x992)+~P1(x991)+E(f10(f7(x991,x992),f7(x991,x993)),f7(x991,f10(x992,x993)))
% 0.19/0.69 [100]~P1(x1002)+~P1(x1003)+~P1(x1001)+E(f10(f7(x1001,x1002),f7(x1003,x1002)),f7(f10(x1001,x1003),x1002))
% 0.19/0.69 [67]P4(x671,x672)+~P1(x672)+~P1(x671)+~P2(x671,x672)+E(x671,x672)
% 0.19/0.69 [71]~P1(x712)+~P1(x711)+~P2(x712,x711)+~P2(x711,x712)+E(x711,x712)
% 0.19/0.69 [61]~P1(x611)+~P1(x612)+E(x611,a1)+E(x612,a1)+~E(f7(x612,x611),a1)
% 0.19/0.69 [69]~P1(x691)+~P1(x692)+~P1(x693)+P3(x691,x692)+~E(x692,f7(x691,x693))
% 0.19/0.69 [70]~P1(x702)+~P1(x701)+~P1(x703)+P2(x701,x702)+~E(f10(x701,x703),x702)
% 0.19/0.69 [72]~P1(x723)+~P1(x722)+~P2(x723,x722)+P1(x721)+~E(x721,f9(x722,x723))
% 0.19/0.69 [76]~P1(x762)+~P1(x761)+~P1(x763)+E(x761,x762)+~E(f10(x763,x761),f10(x763,x762))
% 0.19/0.69 [77]~P1(x772)+~P1(x773)+~P1(x771)+E(x771,x772)+~E(f10(x771,x773),f10(x772,x773))
% 0.19/0.69 [80]~P1(x803)+~P1(x801)+~P2(x801,x803)+~E(x802,f9(x803,x801))+E(f10(x801,x802),x803)
% 0.19/0.69 [84]~P1(x842)+~P1(x841)+~P2(x843,x842)+~P2(x841,x843)+P2(x841,x842)+~P1(x843)
% 0.19/0.69 [85]~P1(x852)+~P1(x851)+~P3(x853,x852)+~P3(x851,x853)+P3(x851,x852)+~P1(x853)
% 0.19/0.69 [73]~P1(x731)+~P1(x733)+~P3(x731,x733)+P1(x732)+E(x731,a1)+~E(x732,f8(x733,x731))
% 0.19/0.69 [78]~P1(x782)+~P1(x781)+~P1(x783)+E(x781,x782)+~E(f7(x783,x781),f7(x783,x782))+E(x783,a1)
% 0.19/0.69 [79]~P1(x792)+~P1(x793)+~P1(x791)+E(x791,x792)+~E(f7(x791,x793),f7(x792,x793))+E(x793,a1)
% 0.19/0.69 [81]~P1(x811)+~P1(x812)+~P3(x811,x812)+~E(x813,f8(x812,x811))+E(x811,a1)+E(x812,f7(x811,x813))
% 0.19/0.69 [86]~P1(x862)+~P1(x863)+~P1(x861)+~P2(x863,x862)+~E(f10(x863,x861),x862)+E(x861,f9(x862,x863))
% 0.19/0.69 [94]~P1(x943)+~P1(x942)+~P1(x941)+~P3(x941,x943)+~P3(x941,x942)+P3(x941,f10(x942,x943))
% 0.19/0.69 [95]~P1(x952)+~P1(x951)+~P1(x953)+~P2(x951,x952)+E(x951,x952)+P2(f10(x953,x951),f10(x953,x952))
% 0.19/0.69 [96]~P1(x962)+~P1(x963)+~P1(x961)+~P2(x961,x962)+E(x961,x962)+P2(f10(x961,x963),f10(x962,x963))
% 0.19/0.69 [87]~P1(x871)+~P1(x873)+~P1(x872)+~P3(x871,x873)+~E(x873,f7(x871,x872))+E(x871,a1)+E(x872,f8(x873,x871))
% 0.19/0.69 [97]~P1(x972)+~P1(x971)+~P1(x973)+~P2(x971,x972)+E(x971,x972)+P2(f7(x973,x971),f7(x973,x972))+E(x973,a1)
% 0.19/0.69 [98]~P1(x982)+~P1(x983)+~P1(x981)+~P2(x981,x982)+E(x981,x982)+P2(f7(x981,x983),f7(x982,x983))+E(x983,a1)
% 0.19/0.69 %EqnAxiom
% 0.19/0.69 [1]E(x11,x11)
% 0.19/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.69 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 0.19/0.69 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 0.19/0.69 [6]~E(x61,x62)+E(f10(x61,x63),f10(x62,x63))
% 0.19/0.69 [7]~E(x71,x72)+E(f10(x73,x71),f10(x73,x72))
% 0.19/0.69 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.19/0.69 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.19/0.69 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.19/0.69 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.19/0.69 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123))
% 0.19/0.69 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132))
% 0.19/0.69 [14]~E(x141,x142)+E(f3(x141,x143),f3(x142,x143))
% 0.19/0.69 [15]~E(x151,x152)+E(f3(x153,x151),f3(x153,x152))
% 0.19/0.69 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 0.19/0.69 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 0.19/0.69 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 0.19/0.69 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.19/0.69 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.19/0.69 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213)
% 0.19/0.69 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221)
% 0.19/0.69
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 cnf(106,plain,
% 0.19/0.69 (~P1(f7(a12,a17))),
% 0.19/0.69 inference(scs_inference,[],[49,23,26,27,41,34,46,2,22,16,64,76])).
% 0.19/0.69 cnf(238,plain,
% 0.19/0.69 ($false),
% 0.19/0.69 inference(scs_inference,[],[30,25,106,66]),
% 0.19/0.69 ['proof']).
% 0.19/0.69 % SZS output end Proof
% 0.19/0.69 % Total time :0.060000s
%------------------------------------------------------------------------------