TSTP Solution File: NUM500+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM500+3 : 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 : n001.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 10:22:39 EDT 2023
% Result : Theorem 1.06s 1.50s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM500+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri Aug 25 15:00:43 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.06/1.48 %-------------------------------------------
% 1.06/1.48 % File :CSE---1.6
% 1.06/1.48 % Problem :theBenchmark
% 1.06/1.48 % Transform :cnf
% 1.06/1.48 % Format :tptp:raw
% 1.06/1.48 % Command :java -jar mcs_scs.jar %d %s
% 1.06/1.48
% 1.06/1.48 % Result :Theorem 0.370000s
% 1.06/1.48 % Output :CNFRefutation 0.370000s
% 1.06/1.48 %-------------------------------------------
% 1.06/1.49 %------------------------------------------------------------------------------
% 1.06/1.49 % File : NUM500+3 : TPTP v8.1.2. Released v4.0.0.
% 1.06/1.49 % Domain : Number Theory
% 1.06/1.49 % Problem : Square root of a prime is irrational 14_03_03_01, 02 expansion
% 1.06/1.49 % Version : Especial.
% 1.06/1.49 % English :
% 1.06/1.49
% 1.06/1.49 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 1.06/1.49 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.06/1.49 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.06/1.49 % Source : [Pas08]
% 1.06/1.49 % Names : primes_14_03_03_01.02 [Pas08]
% 1.06/1.49
% 1.06/1.49 % Status : Theorem
% 1.06/1.49 % Rating : 0.28 v8.1.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.28 v6.1.0, 0.30 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.57 v4.0.1, 0.78 v4.0.0
% 1.06/1.49 % Syntax : Number of formulae : 48 ( 1 unt; 5 def)
% 1.06/1.49 % Number of atoms : 254 ( 88 equ)
% 1.06/1.49 % Maximal formula atoms : 22 ( 5 avg)
% 1.06/1.49 % Number of connectives : 239 ( 33 ~; 19 |; 117 &)
% 1.06/1.49 % ( 5 <=>; 65 =>; 0 <=; 0 <~>)
% 1.06/1.49 % Maximal formula depth : 16 ( 6 avg)
% 1.06/1.49 % Maximal term depth : 3 ( 1 avg)
% 1.06/1.49 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 1.06/1.49 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 1.06/1.49 % Number of variables : 101 ( 85 !; 16 ?)
% 1.06/1.49 % SPC : FOF_THM_RFO_SEQ
% 1.06/1.49
% 1.06/1.49 % Comments : Problem generated by the SAD system [VLP07]
% 1.06/1.49 %------------------------------------------------------------------------------
% 1.06/1.49 fof(mNatSort,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => $true ) ).
% 1.06/1.49
% 1.06/1.49 fof(mSortsC,axiom,
% 1.06/1.49 aNaturalNumber0(sz00) ).
% 1.06/1.49
% 1.06/1.49 fof(mSortsC_01,axiom,
% 1.06/1.49 ( aNaturalNumber0(sz10)
% 1.06/1.49 & sz10 != sz00 ) ).
% 1.06/1.49
% 1.06/1.49 fof(mSortsB,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mSortsB_02,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mAddComm,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mAddAsso,axiom,
% 1.06/1.49 ! [W0,W1,W2] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1)
% 1.06/1.49 & aNaturalNumber0(W2) )
% 1.06/1.49 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 1.06/1.49
% 1.06/1.49 fof(m_AddZero,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => ( sdtpldt0(W0,sz00) = W0
% 1.06/1.49 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mMulComm,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mMulAsso,axiom,
% 1.06/1.49 ! [W0,W1,W2] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1)
% 1.06/1.49 & aNaturalNumber0(W2) )
% 1.06/1.49 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 1.06/1.49
% 1.06/1.49 fof(m_MulUnit,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => ( sdtasdt0(W0,sz10) = W0
% 1.06/1.49 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(m_MulZero,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => ( sdtasdt0(W0,sz00) = sz00
% 1.06/1.49 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mAMDistr,axiom,
% 1.06/1.49 ! [W0,W1,W2] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1)
% 1.06/1.49 & aNaturalNumber0(W2) )
% 1.06/1.49 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.06/1.49 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mAddCanc,axiom,
% 1.06/1.49 ! [W0,W1,W2] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1)
% 1.06/1.49 & aNaturalNumber0(W2) )
% 1.06/1.49 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 1.06/1.49 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 1.06/1.49 => W1 = W2 ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mMulCanc,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => ( W0 != sz00
% 1.06/1.49 => ! [W1,W2] :
% 1.06/1.49 ( ( aNaturalNumber0(W1)
% 1.06/1.49 & aNaturalNumber0(W2) )
% 1.06/1.49 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 1.06/1.49 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 1.06/1.49 => W1 = W2 ) ) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mZeroAdd,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => ( sdtpldt0(W0,W1) = sz00
% 1.06/1.49 => ( W0 = sz00
% 1.06/1.49 & W1 = sz00 ) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mZeroMul,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => ( sdtasdt0(W0,W1) = sz00
% 1.06/1.49 => ( W0 = sz00
% 1.06/1.49 | W1 = sz00 ) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mDefLE,definition,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => ( sdtlseqdt0(W0,W1)
% 1.06/1.49 <=> ? [W2] :
% 1.06/1.49 ( aNaturalNumber0(W2)
% 1.06/1.49 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mDefDiff,definition,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.49 ( ( aNaturalNumber0(W0)
% 1.06/1.49 & aNaturalNumber0(W1) )
% 1.06/1.49 => ( sdtlseqdt0(W0,W1)
% 1.06/1.49 => ! [W2] :
% 1.06/1.49 ( W2 = sdtmndt0(W1,W0)
% 1.06/1.49 <=> ( aNaturalNumber0(W2)
% 1.06/1.49 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mLERefl,axiom,
% 1.06/1.49 ! [W0] :
% 1.06/1.49 ( aNaturalNumber0(W0)
% 1.06/1.49 => sdtlseqdt0(W0,W0) ) ).
% 1.06/1.49
% 1.06/1.49 fof(mLEAsym,axiom,
% 1.06/1.49 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( sdtlseqdt0(W0,W1)
% 1.06/1.50 & sdtlseqdt0(W1,W0) )
% 1.06/1.50 => W0 = W1 ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mLETran,axiom,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( sdtlseqdt0(W0,W1)
% 1.06/1.50 & sdtlseqdt0(W1,W2) )
% 1.06/1.50 => sdtlseqdt0(W0,W2) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mLETotal,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( sdtlseqdt0(W0,W1)
% 1.06/1.50 | ( W1 != W0
% 1.06/1.50 & sdtlseqdt0(W1,W0) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mMonAdd,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( W0 != W1
% 1.06/1.50 & sdtlseqdt0(W0,W1) )
% 1.06/1.50 => ! [W2] :
% 1.06/1.50 ( aNaturalNumber0(W2)
% 1.06/1.50 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 1.06/1.50 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 1.06/1.50 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 1.06/1.50 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mMonMul,axiom,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( W0 != sz00
% 1.06/1.50 & W1 != W2
% 1.06/1.50 & sdtlseqdt0(W1,W2) )
% 1.06/1.50 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 1.06/1.50 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.06/1.50 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 1.06/1.50 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mLENTr,axiom,
% 1.06/1.50 ! [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 => ( W0 = sz00
% 1.06/1.50 | W0 = sz10
% 1.06/1.50 | ( sz10 != W0
% 1.06/1.50 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mMonMul2,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( W0 != sz00
% 1.06/1.50 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mIH,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( iLess0(W0,W1)
% 1.06/1.50 => $true ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mIH_03,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( W0 != W1
% 1.06/1.50 & sdtlseqdt0(W0,W1) )
% 1.06/1.50 => iLess0(W0,W1) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDefDiv,definition,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( doDivides0(W0,W1)
% 1.06/1.50 <=> ? [W2] :
% 1.06/1.50 ( aNaturalNumber0(W2)
% 1.06/1.50 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDefQuot,definition,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( W0 != sz00
% 1.06/1.50 & doDivides0(W0,W1) )
% 1.06/1.50 => ! [W2] :
% 1.06/1.50 ( W2 = sdtsldt0(W1,W0)
% 1.06/1.50 <=> ( aNaturalNumber0(W2)
% 1.06/1.50 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDivTrans,axiom,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( doDivides0(W0,W1)
% 1.06/1.50 & doDivides0(W1,W2) )
% 1.06/1.50 => doDivides0(W0,W2) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDivSum,axiom,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( doDivides0(W0,W1)
% 1.06/1.50 & doDivides0(W0,W2) )
% 1.06/1.50 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDivMin,axiom,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( doDivides0(W0,W1)
% 1.06/1.50 & doDivides0(W0,sdtpldt0(W1,W2)) )
% 1.06/1.50 => doDivides0(W0,W2) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDivLE,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( doDivides0(W0,W1)
% 1.06/1.50 & W1 != sz00 )
% 1.06/1.50 => sdtlseqdt0(W0,W1) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDivAsso,axiom,
% 1.06/1.50 ! [W0,W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1) )
% 1.06/1.50 => ( ( W0 != sz00
% 1.06/1.50 & doDivides0(W0,W1) )
% 1.06/1.50 => ! [W2] :
% 1.06/1.50 ( aNaturalNumber0(W2)
% 1.06/1.50 => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mDefPrime,definition,
% 1.06/1.50 ! [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 => ( isPrime0(W0)
% 1.06/1.50 <=> ( W0 != sz00
% 1.06/1.50 & W0 != sz10
% 1.06/1.50 & ! [W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W1)
% 1.06/1.50 & doDivides0(W1,W0) )
% 1.06/1.50 => ( W1 = sz10
% 1.06/1.50 | W1 = W0 ) ) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(mPrimDiv,axiom,
% 1.06/1.50 ! [W0] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & W0 != sz00
% 1.06/1.50 & W0 != sz10 )
% 1.06/1.50 => ? [W1] :
% 1.06/1.50 ( aNaturalNumber0(W1)
% 1.06/1.50 & doDivides0(W1,W0)
% 1.06/1.50 & isPrime0(W1) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__1837,hypothesis,
% 1.06/1.50 ( aNaturalNumber0(xn)
% 1.06/1.50 & aNaturalNumber0(xm)
% 1.06/1.50 & aNaturalNumber0(xp) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__1799,hypothesis,
% 1.06/1.50 ! [W0,W1,W2] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & aNaturalNumber0(W1)
% 1.06/1.50 & aNaturalNumber0(W2) )
% 1.06/1.50 => ( ( ( ( W2 != sz00
% 1.06/1.50 & W2 != sz10
% 1.06/1.50 & ! [W3] :
% 1.06/1.50 ( ( aNaturalNumber0(W3)
% 1.06/1.50 & ? [W4] :
% 1.06/1.50 ( aNaturalNumber0(W4)
% 1.06/1.50 & W2 = sdtasdt0(W3,W4) )
% 1.06/1.50 & doDivides0(W3,W2) )
% 1.06/1.50 => ( W3 = sz10
% 1.06/1.50 | W3 = W2 ) ) )
% 1.06/1.50 | isPrime0(W2) )
% 1.06/1.50 & ( ? [W3] :
% 1.06/1.50 ( aNaturalNumber0(W3)
% 1.06/1.50 & sdtasdt0(W0,W1) = sdtasdt0(W2,W3) )
% 1.06/1.50 | doDivides0(W2,sdtasdt0(W0,W1)) ) )
% 1.06/1.50 => ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
% 1.06/1.50 => ( ( ? [W3] :
% 1.06/1.50 ( aNaturalNumber0(W3)
% 1.06/1.50 & W0 = sdtasdt0(W2,W3) )
% 1.06/1.50 & doDivides0(W2,W0) )
% 1.06/1.50 | ( ? [W3] :
% 1.06/1.50 ( aNaturalNumber0(W3)
% 1.06/1.50 & W1 = sdtasdt0(W2,W3) )
% 1.06/1.50 & doDivides0(W2,W1) ) ) ) ) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__1860,hypothesis,
% 1.06/1.50 ( xp != sz00
% 1.06/1.50 & xp != sz10
% 1.06/1.50 & ! [W0] :
% 1.06/1.50 ( ( aNaturalNumber0(W0)
% 1.06/1.50 & ( ? [W1] :
% 1.06/1.50 ( aNaturalNumber0(W1)
% 1.06/1.50 & xp = sdtasdt0(W0,W1) )
% 1.06/1.50 | doDivides0(W0,xp) ) )
% 1.06/1.50 => ( W0 = sz10
% 1.06/1.50 | W0 = xp ) )
% 1.06/1.50 & isPrime0(xp)
% 1.06/1.50 & ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
% 1.06/1.50 & doDivides0(xp,sdtasdt0(xn,xm)) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__1870,hypothesis,
% 1.06/1.50 ~ ( ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & sdtpldt0(xp,W0) = xn )
% 1.06/1.50 | sdtlseqdt0(xp,xn) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__2075,hypothesis,
% 1.06/1.50 ~ ( ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & sdtpldt0(xp,W0) = xm )
% 1.06/1.50 | sdtlseqdt0(xp,xm) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__2287,hypothesis,
% 1.06/1.50 ( xn != xp
% 1.06/1.50 & ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & sdtpldt0(xn,W0) = xp )
% 1.06/1.50 & sdtlseqdt0(xn,xp)
% 1.06/1.50 & xm != xp
% 1.06/1.50 & ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & sdtpldt0(xm,W0) = xp )
% 1.06/1.50 & sdtlseqdt0(xm,xp) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__2306,hypothesis,
% 1.06/1.50 ( aNaturalNumber0(xk)
% 1.06/1.50 & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
% 1.06/1.50 & xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__2315,hypothesis,
% 1.06/1.50 ~ ( xk = sz00
% 1.06/1.50 | xk = sz10 ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__2327,hypothesis,
% 1.06/1.50 ( xk != sz00
% 1.06/1.50 & xk != sz10 ) ).
% 1.06/1.50
% 1.06/1.50 fof(m__,conjecture,
% 1.06/1.50 ? [W0] :
% 1.06/1.50 ( aNaturalNumber0(W0)
% 1.06/1.50 & ( ? [W1] :
% 1.06/1.50 ( aNaturalNumber0(W1)
% 1.06/1.50 & xk = sdtasdt0(W0,W1) )
% 1.06/1.50 | doDivides0(W0,xk) )
% 1.06/1.50 & ( ( W0 != sz00
% 1.06/1.50 & W0 != sz10
% 1.06/1.50 & ! [W1] :
% 1.06/1.50 ( ( aNaturalNumber0(W1)
% 1.06/1.50 & ? [W2] :
% 1.06/1.50 ( aNaturalNumber0(W2)
% 1.06/1.50 & W0 = sdtasdt0(W1,W2) )
% 1.06/1.50 & doDivides0(W1,W0) )
% 1.06/1.50 => ( W1 = sz10
% 1.06/1.50 | W1 = W0 ) ) )
% 1.06/1.50 | isPrime0(W0) ) ) ).
% 1.06/1.50
% 1.06/1.50 %------------------------------------------------------------------------------
% 1.06/1.50 %-------------------------------------------
% 1.06/1.50 % Proof found
% 1.06/1.50 % SZS status Theorem for theBenchmark
% 1.06/1.50 % SZS output start Proof
% 1.06/1.50 %ClaNum:276(EqnAxiom:39)
% 1.06/1.50 %VarNum:3294(SingletonVarNum:595)
% 1.06/1.50 %MaxLitNum:11
% 1.06/1.50 %MaxfuncDepth:2
% 1.06/1.50 %SharedTerms:44
% 1.06/1.50 %goalClause: 89 91 94 97 98 102 105 107 108 109 110 114 117 123
% 1.06/1.50 [40]P1(a1)
% 1.06/1.50 [41]P1(a19)
% 1.06/1.50 [42]P1(a20)
% 1.06/1.50 [43]P1(a21)
% 1.06/1.50 [44]P1(a23)
% 1.06/1.50 [45]P1(a22)
% 1.06/1.50 [46]P1(a2)
% 1.06/1.50 [47]P1(a3)
% 1.06/1.50 [48]P1(a4)
% 1.06/1.50 [49]P2(a23)
% 1.06/1.50 [52]P5(a20,a23)
% 1.06/1.50 [53]P5(a21,a23)
% 1.06/1.50 [58]~E(a1,a19)
% 1.06/1.51 [59]~E(a1,a23)
% 1.06/1.51 [60]~E(a23,a19)
% 1.06/1.51 [61]~E(a23,a20)
% 1.06/1.51 [62]~E(a23,a21)
% 1.06/1.51 [64]~E(a1,a22)
% 1.06/1.51 [66]~E(a22,a19)
% 1.06/1.51 [67]~P5(a23,a20)
% 1.06/1.51 [68]~P5(a23,a21)
% 1.06/1.51 [50]E(f15(a20,a3),a23)
% 1.06/1.51 [51]E(f15(a21,a4),a23)
% 1.06/1.51 [54]E(f16(a23,a22),f16(a20,a21))
% 1.06/1.51 [55]E(f16(a23,a2),f16(a20,a21))
% 1.06/1.51 [57]P3(a23,f16(a20,a21))
% 1.06/1.51 [56]E(f18(f16(a20,a21),a23),a22)
% 1.06/1.51 [79]~P1(x791)+P5(x791,x791)
% 1.06/1.51 [71]~P1(x711)+E(f16(a1,x711),a1)
% 1.06/1.51 [72]~P1(x721)+E(f16(x721,a1),a1)
% 1.06/1.51 [73]~P1(x731)+E(f15(a1,x731),x731)
% 1.06/1.51 [74]~P1(x741)+E(f16(a19,x741),x741)
% 1.06/1.51 [75]~P1(x751)+E(f15(x751,a1),x751)
% 1.06/1.51 [76]~P1(x761)+E(f16(x761,a19),x761)
% 1.06/1.51 [84]~P1(x841)+~E(f15(a23,x841),a20)
% 1.06/1.51 [85]~P1(x851)+~E(f15(a23,x851),a21)
% 1.06/1.51 [69]~P1(x691)+~P2(x691)+~E(x691,a1)
% 1.06/1.51 [70]~P1(x701)+~P2(x701)+~E(x701,a19)
% 1.06/1.51 [89]~P2(x891)+~P1(x891)+~P3(x891,a22)
% 1.06/1.51 [99]~P1(x992)+~P1(x991)+E(f15(x991,x992),f15(x992,x991))
% 1.06/1.51 [100]~P1(x1002)+~P1(x1001)+E(f16(x1001,x1002),f16(x1002,x1001))
% 1.06/1.51 [103]~P1(x1032)+~P1(x1031)+P1(f15(x1031,x1032))
% 1.06/1.51 [104]~P1(x1042)+~P1(x1041)+P1(f16(x1041,x1042))
% 1.06/1.51 [81]~P1(x811)+E(x811,a19)+P5(a19,x811)+E(x811,a1)
% 1.06/1.51 [86]~P1(x861)+E(x861,a23)+~P3(x861,a23)+E(x861,a19)
% 1.06/1.51 [77]~P1(x771)+E(x771,a19)+E(x771,a1)+P1(f5(x771))
% 1.06/1.51 [78]~P1(x781)+E(x781,a19)+E(x781,a1)+P2(f5(x781))
% 1.06/1.51 [87]~P1(x871)+E(x871,a19)+P3(f5(x871),x871)+E(x871,a1)
% 1.06/1.51 [88]~E(x882,x881)+~P1(x881)+~P1(x882)+P5(x881,x882)
% 1.06/1.51 [101]P5(x1012,x1011)+~P1(x1011)+~P1(x1012)+P5(x1011,x1012)
% 1.06/1.51 [92]~P1(x922)+~P1(x921)+E(x921,a1)+~E(f15(x922,x921),a1)
% 1.06/1.51 [93]~P1(x932)+~P1(x931)+E(x931,a1)+~E(f15(x931,x932),a1)
% 1.06/1.51 [102]~P1(x1022)+~P1(x1021)+~P2(x1021)+~E(f16(x1021,x1022),a22)
% 1.06/1.51 [113]~P1(x1132)+~P1(x1131)+P5(x1132,f16(x1132,x1131))+E(x1131,a1)
% 1.06/1.51 [121]~P1(x1212)+~P1(x1211)+~P5(x1211,x1212)+P1(f9(x1211,x1212))
% 1.06/1.51 [122]~P1(x1222)+~P1(x1221)+~P3(x1221,x1222)+P1(f10(x1221,x1222))
% 1.06/1.51 [130]~P1(x1301)+~P1(x1302)+~P3(x1301,x1302)+E(f16(x1301,f10(x1301,x1302)),x1302)
% 1.06/1.51 [131]~P1(x1312)+~P1(x1311)+~P5(x1311,x1312)+E(f15(x1311,f9(x1311,x1312)),x1312)
% 1.06/1.51 [140]~P1(x1403)+~P1(x1402)+~P1(x1401)+E(f15(f15(x1401,x1402),x1403),f15(x1401,f15(x1402,x1403)))
% 1.06/1.51 [141]~P1(x1413)+~P1(x1412)+~P1(x1411)+E(f16(f16(x1411,x1412),x1413),f16(x1411,f16(x1412,x1413)))
% 1.06/1.51 [149]~P1(x1493)+~P1(x1492)+~P1(x1491)+E(f15(f16(x1491,x1492),f16(x1491,x1493)),f16(x1491,f15(x1492,x1493)))
% 1.06/1.51 [150]~P1(x1502)+~P1(x1503)+~P1(x1501)+E(f15(f16(x1501,x1502),f16(x1503,x1502)),f16(f15(x1501,x1503),x1502))
% 1.06/1.51 [80]P2(x801)+~P1(x801)+E(x801,a19)+E(x801,a1)+~E(f6(x801),a19)
% 1.06/1.51 [82]P2(x821)+~P1(x821)+E(x821,a19)+~E(f6(x821),x821)+E(x821,a1)
% 1.06/1.51 [83]P2(x831)+~P1(x831)+E(x831,a19)+E(x831,a1)+P1(f6(x831))
% 1.06/1.51 [90]P2(x901)+~P1(x901)+E(x901,a19)+P3(f6(x901),x901)+E(x901,a1)
% 1.06/1.51 [91]~P1(x911)+E(x911,a19)+~P3(x911,a22)+E(x911,a1)+~E(f7(x911),a19)
% 1.06/1.51 [94]~P1(x941)+E(x941,a19)+~E(f7(x941),x941)+~P3(x941,a22)+E(x941,a1)
% 1.06/1.51 [97]~P1(x971)+E(x971,a19)+~P3(x971,a22)+E(x971,a1)+P1(f7(x971))
% 1.06/1.51 [98]~P1(x981)+E(x981,a19)+~P3(x981,a22)+E(x981,a1)+P1(f8(x981))
% 1.06/1.51 [110]~P1(x1101)+E(x1101,a19)+P3(f7(x1101),x1101)+~P3(x1101,a22)+E(x1101,a1)
% 1.06/1.51 [114]~P1(x1141)+E(x1141,a19)+~P3(x1141,a22)+E(x1141,a1)+E(f16(f7(x1141),f8(x1141)),x1141)
% 1.06/1.51 [111]~P1(x1111)+~P1(x1112)+~P3(x1112,x1111)+P5(x1112,x1111)+E(x1111,a1)
% 1.06/1.51 [112]P4(x1121,x1122)+~P1(x1122)+~P1(x1121)+~P5(x1121,x1122)+E(x1121,x1122)
% 1.06/1.51 [118]~P1(x1182)+~P1(x1181)+~P5(x1182,x1181)+~P5(x1181,x1182)+E(x1181,x1182)
% 1.06/1.51 [95]~P1(x951)+~P1(x952)+E(x951,a23)+E(x951,a19)+~E(f16(x951,x952),a23)
% 1.06/1.51 [96]~P1(x961)+~P1(x962)+E(x961,a1)+E(x962,a1)+~E(f16(x962,x961),a1)
% 1.06/1.51 [115]~P1(x1151)+~P1(x1152)+~P1(x1153)+P3(x1151,x1152)+~E(x1152,f16(x1151,x1153))
% 1.06/1.51 [116]~P1(x1162)+~P1(x1161)+~P1(x1163)+P5(x1161,x1162)+~E(f15(x1161,x1163),x1162)
% 1.06/1.51 [119]~P1(x1193)+~P1(x1192)+~P5(x1193,x1192)+P1(x1191)+~E(x1191,f17(x1192,x1193))
% 1.06/1.51 [124]~P1(x1242)+~P1(x1241)+~P1(x1243)+E(x1241,x1242)+~E(f15(x1243,x1241),f15(x1243,x1242))
% 1.06/1.51 [125]~P1(x1252)+~P1(x1253)+~P1(x1251)+E(x1251,x1252)+~E(f15(x1251,x1253),f15(x1252,x1253))
% 1.06/1.51 [128]~P1(x1283)+~P1(x1281)+~P5(x1281,x1283)+~E(x1282,f17(x1283,x1281))+E(f15(x1281,x1282),x1283)
% 1.06/1.51 [106]~P1(x1062)+~P1(x1061)+~P2(x1062)+~P3(x1061,x1062)+E(x1061,x1062)+E(x1061,a19)
% 1.06/1.51 [105]~P1(x1052)+~P1(x1051)+E(x1051,a19)+E(x1051,a1)+~E(f7(x1051),a19)+~E(f16(x1051,x1052),a22)
% 1.06/1.51 [107]~P1(x1072)+~P1(x1071)+E(x1071,a19)+~E(f7(x1071),x1071)+E(x1071,a1)+~E(f16(x1071,x1072),a22)
% 1.06/1.51 [108]~P1(x1082)+~P1(x1081)+E(x1081,a19)+E(x1081,a1)+P1(f7(x1081))+~E(f16(x1081,x1082),a22)
% 1.06/1.51 [109]~P1(x1092)+~P1(x1091)+E(x1091,a19)+E(x1091,a1)+P1(f8(x1091))+~E(f16(x1091,x1092),a22)
% 1.06/1.51 [117]~P1(x1172)+~P1(x1171)+E(x1171,a19)+P3(f7(x1171),x1171)+E(x1171,a1)+~E(f16(x1171,x1172),a22)
% 1.06/1.51 [123]~P1(x1232)+~P1(x1231)+E(x1231,a19)+E(x1231,a1)+E(f16(f7(x1231),f8(x1231)),x1231)+~E(f16(x1231,x1232),a22)
% 1.06/1.51 [132]~P1(x1322)+~P1(x1321)+~P5(x1323,x1322)+~P5(x1321,x1323)+P5(x1321,x1322)+~P1(x1323)
% 1.06/1.51 [133]~P1(x1332)+~P1(x1331)+~P3(x1333,x1332)+~P3(x1331,x1333)+P3(x1331,x1332)+~P1(x1333)
% 1.06/1.51 [120]~P1(x1201)+~P1(x1203)+~P3(x1201,x1203)+P1(x1202)+E(x1201,a1)+~E(x1202,f18(x1203,x1201))
% 1.06/1.51 [126]~P1(x1262)+~P1(x1261)+~P1(x1263)+E(x1261,x1262)+~E(f16(x1263,x1261),f16(x1263,x1262))+E(x1263,a1)
% 1.06/1.51 [127]~P1(x1272)+~P1(x1273)+~P1(x1271)+E(x1271,x1272)+~E(f16(x1271,x1273),f16(x1272,x1273))+E(x1273,a1)
% 1.06/1.51 [129]~P1(x1291)+~P1(x1292)+~P3(x1291,x1292)+~E(x1293,f18(x1292,x1291))+E(x1291,a1)+E(x1292,f16(x1291,x1293))
% 1.06/1.51 [134]~P1(x1342)+~P1(x1343)+~P1(x1341)+~P5(x1343,x1342)+~E(f15(x1343,x1341),x1342)+E(x1341,f17(x1342,x1343))
% 1.06/1.51 [142]~P1(x1423)+~P1(x1422)+~P1(x1421)+~P3(x1421,x1423)+~P3(x1421,x1422)+P3(x1421,f15(x1422,x1423))
% 1.06/1.51 [143]~P1(x1432)+~P1(x1431)+~P1(x1433)+~P5(x1431,x1432)+E(x1431,x1432)+P5(f15(x1433,x1431),f15(x1433,x1432))
% 1.06/1.51 [144]~P1(x1442)+~P1(x1443)+~P1(x1441)+~P5(x1441,x1442)+E(x1441,x1442)+P5(f15(x1441,x1443),f15(x1442,x1443))
% 1.06/1.51 [147]~P1(x1472)+~P1(x1471)+~P3(x1471,x1473)+P3(x1471,x1472)+~P1(x1473)+~P3(x1471,f15(x1473,x1472))
% 1.06/1.51 [148]~P1(x1482)+~P1(x1483)+~P1(x1481)+~P3(x1481,x1483)+E(x1481,a1)+E(f18(f16(x1482,x1483),x1481),f16(x1482,f18(x1483,x1481)))
% 1.06/1.51 [135]~P1(x1351)+~P1(x1353)+~P1(x1352)+~P3(x1351,x1353)+~E(x1353,f16(x1351,x1352))+E(x1351,a1)+E(x1352,f18(x1353,x1351))
% 1.06/1.51 [145]~P1(x1452)+~P1(x1451)+~P1(x1453)+~P5(x1451,x1452)+E(x1451,x1452)+P5(f16(x1453,x1451),f16(x1453,x1452))+E(x1453,a1)
% 1.06/1.51 [146]~P1(x1462)+~P1(x1463)+~P1(x1461)+~P5(x1461,x1462)+E(x1461,x1462)+P5(f16(x1461,x1463),f16(x1462,x1463))+E(x1463,a1)
% 1.06/1.51 [152]~P1(x1522)+~P1(x1523)+~P1(x1521)+~P2(x1521)+P3(x1521,x1522)+P3(x1521,x1523)+~P3(x1521,f16(x1522,x1523))+~P4(f15(f15(x1522,x1523),x1521),f15(f15(a20,a21),a23))
% 1.06/1.51 [163]~P1(x1631)+~P1(x1633)+~P1(x1632)+~P2(x1631)+P3(x1631,x1632)+~P3(x1631,f16(x1632,x1633))+P1(f12(x1632,x1633,x1631))+~P4(f15(f15(x1632,x1633),x1631),f15(f15(a20,a21),a23))
% 1.06/1.51 [164]~P1(x1643)+~P1(x1642)+~P1(x1641)+~P2(x1641)+P3(x1641,x1642)+~P3(x1641,f16(x1643,x1642))+P1(f13(x1643,x1642,x1641))+~P4(f15(f15(x1643,x1642),x1641),f15(f15(a20,a21),a23))
% 1.06/1.51 [168]P3(x1681,x1683)+~P1(x1682)+~P1(x1683)+~P1(x1681)+~P2(x1681)+~P3(x1681,f16(x1682,x1683))+E(f16(x1681,f13(x1682,x1683,x1681)),x1682)+~P4(f15(f15(x1682,x1683),x1681),f15(f15(a20,a21),a23))
% 1.06/1.51 [169]P3(x1691,x1692)+~P1(x1692)+~P1(x1691)+~P1(x1693)+~P2(x1691)+~P3(x1691,f16(x1692,x1693))+E(f16(x1691,f12(x1692,x1693,x1691)),x1693)+~P4(f15(f15(x1692,x1693),x1691),f15(f15(a20,a21),a23))
% 1.06/1.51 [194]~P1(x1943)+~P1(x1942)+~P1(x1941)+~P2(x1943)+~P3(x1943,f16(x1941,x1942))+P1(f12(x1941,x1942,x1943))+~P4(f15(f15(x1941,x1942),x1943),f15(f15(a20,a21),a23))+P1(f13(x1941,x1942,x1943))
% 1.06/1.51 [206]~P1(x2061)+~P1(x2063)+~P1(x2062)+~P2(x2061)+~P3(x2061,f16(x2062,x2063))+P1(f12(x2062,x2063,x2061))+~P4(f15(f15(x2062,x2063),x2061),f15(f15(a20,a21),a23))+E(f16(x2061,f13(x2062,x2063,x2061)),x2062)
% 1.06/1.51 [207]~P1(x2072)+~P1(x2071)+~P1(x2073)+~P2(x2071)+~P3(x2071,f16(x2072,x2073))+P1(f13(x2072,x2073,x2071))+~P4(f15(f15(x2072,x2073),x2071),f15(f15(a20,a21),a23))+E(f16(x2071,f12(x2072,x2073,x2071)),x2073)
% 1.06/1.51 [217]~P1(x2172)+~P1(x2171)+~P1(x2173)+~P2(x2171)+~P3(x2171,f16(x2172,x2173))+E(f16(x2171,f12(x2172,x2173,x2171)),x2173)+~P4(f15(f15(x2172,x2173),x2171),f15(f15(a20,a21),a23))+E(f16(x2171,f13(x2172,x2173,x2171)),x2172)
% 1.06/1.51 [151]~P1(x1514)+~P1(x1512)+~P1(x1513)+~P1(x1511)+~P2(x1511)+P3(x1511,x1512)+P3(x1511,x1513)+~E(f16(x1511,x1514),f16(x1512,x1513))+~P4(f15(f15(x1512,x1513),x1511),f15(f15(a20,a21),a23))
% 1.06/1.51 [157]~P1(x1574)+~P1(x1571)+~P1(x1573)+~P1(x1572)+~P2(x1571)+P3(x1571,x1572)+~E(f16(x1572,x1573),f16(x1571,x1574))+P1(f12(x1572,x1573,x1571))+~P4(f15(f15(x1572,x1573),x1571),f15(f15(a20,a21),a23))
% 1.06/1.51 [158]~P1(x1584)+~P1(x1583)+~P1(x1582)+~P1(x1581)+~P2(x1581)+P3(x1581,x1582)+~E(f16(x1581,x1584),f16(x1583,x1582))+P1(f13(x1583,x1582,x1581))+~P4(f15(f15(x1583,x1582),x1581),f15(f15(a20,a21),a23))
% 1.06/1.51 [161]P3(x1611,x1613)+~P1(x1614)+~P1(x1612)+~P1(x1613)+~P1(x1611)+~P2(x1611)+~E(f16(x1611,x1614),f16(x1612,x1613))+E(f16(x1611,f13(x1612,x1613,x1611)),x1612)+~P4(f15(f15(x1612,x1613),x1611),f15(f15(a20,a21),a23))
% 1.06/1.51 [162]P3(x1621,x1622)+~P1(x1624)+~P1(x1622)+~P1(x1621)+~P1(x1623)+~P2(x1621)+~E(f16(x1621,x1624),f16(x1622,x1623))+E(f16(x1621,f12(x1622,x1623,x1621)),x1623)+~P4(f15(f15(x1622,x1623),x1621),f15(f15(a20,a21),a23))
% 1.06/1.51 [183]~P1(x1834)+~P1(x1833)+~P1(x1832)+~P1(x1831)+~P2(x1833)+~E(f16(x1831,x1832),f16(x1833,x1834))+P1(f12(x1831,x1832,x1833))+~P4(f15(f15(x1831,x1832),x1833),f15(f15(a20,a21),a23))+P1(f13(x1831,x1832,x1833))
% 1.06/1.51 [192]~P1(x1924)+~P1(x1921)+~P1(x1923)+~P1(x1922)+~P2(x1921)+~E(f16(x1922,x1923),f16(x1921,x1924))+P1(f12(x1922,x1923,x1921))+~P4(f15(f15(x1922,x1923),x1921),f15(f15(a20,a21),a23))+E(f16(x1921,f13(x1922,x1923,x1921)),x1922)
% 1.06/1.51 [193]~P1(x1934)+~P1(x1932)+~P1(x1931)+~P1(x1933)+~P2(x1931)+~E(f16(x1931,x1934),f16(x1932,x1933))+P1(f13(x1932,x1933,x1931))+~P4(f15(f15(x1932,x1933),x1931),f15(f15(a20,a21),a23))+E(f16(x1931,f12(x1932,x1933,x1931)),x1933)
% 1.06/1.51 [201]~P1(x2014)+~P1(x2012)+~P1(x2011)+~P1(x2013)+~P2(x2011)+~E(f16(x2011,x2014),f16(x2012,x2013))+E(f16(x2011,f12(x2012,x2013,x2011)),x2013)+~P4(f15(f15(x2012,x2013),x2011),f15(f15(a20,a21),a23))+E(f16(x2011,f13(x2012,x2013,x2011)),x2012)
% 1.06/1.51 [155]~P1(x1552)+~P1(x1553)+~P1(x1551)+P3(x1551,x1552)+P3(x1551,x1553)+E(x1551,a19)+~P3(x1551,f16(x1552,x1553))+E(x1551,a1)+~E(f11(x1552,x1553,x1551),a19)+~P4(f15(f15(x1552,x1553),x1551),f15(f15(a20,a21),a23))
% 1.06/1.51 [156]~P1(x1562)+~P1(x1563)+~P1(x1561)+P3(x1561,x1562)+P3(x1561,x1563)+E(x1561,a19)+~E(f11(x1562,x1563,x1561),x1561)+~P3(x1561,f16(x1562,x1563))+E(x1561,a1)+~P4(f15(f15(x1562,x1563),x1561),f15(f15(a20,a21),a23))
% 1.06/1.51 [166]~P1(x1662)+~P1(x1663)+~P1(x1661)+P3(x1661,x1662)+P3(x1661,x1663)+E(x1661,a19)+~P3(x1661,f16(x1662,x1663))+E(x1661,a1)+P1(f11(x1662,x1663,x1661))+~P4(f15(f15(x1662,x1663),x1661),f15(f15(a20,a21),a23))
% 1.06/1.51 [167]~P1(x1672)+~P1(x1673)+~P1(x1671)+P3(x1671,x1672)+P3(x1671,x1673)+E(x1671,a19)+~P3(x1671,f16(x1672,x1673))+E(x1671,a1)+P1(f14(x1672,x1673,x1671))+~P4(f15(f15(x1672,x1673),x1671),f15(f15(a20,a21),a23))
% 1.06/1.51 [170]~P1(x1702)+~P1(x1703)+~P1(x1701)+P3(x1701,x1702)+P3(x1701,x1703)+E(x1701,a19)+P3(f11(x1702,x1703,x1701),x1701)+~P3(x1701,f16(x1702,x1703))+E(x1701,a1)+~P4(f15(f15(x1702,x1703),x1701),f15(f15(a20,a21),a23))
% 1.06/1.51 [179]~P1(x1791)+~P1(x1793)+~P1(x1792)+P3(x1791,x1792)+E(x1791,a19)+~P3(x1791,f16(x1792,x1793))+E(x1791,a1)+~E(f11(x1792,x1793,x1791),a19)+~P4(f15(f15(x1792,x1793),x1791),f15(f15(a20,a21),a23))+P1(f12(x1792,x1793,x1791))
% 1.06/1.51 [180]~P1(x1803)+~P1(x1802)+~P1(x1801)+P3(x1801,x1802)+E(x1801,a19)+~P3(x1801,f16(x1803,x1802))+E(x1801,a1)+~E(f11(x1803,x1802,x1801),a19)+~P4(f15(f15(x1803,x1802),x1801),f15(f15(a20,a21),a23))+P1(f13(x1803,x1802,x1801))
% 1.06/1.51 [181]~P1(x1811)+~P1(x1813)+~P1(x1812)+P3(x1811,x1812)+E(x1811,a19)+~E(f11(x1812,x1813,x1811),x1811)+~P3(x1811,f16(x1812,x1813))+E(x1811,a1)+~P4(f15(f15(x1812,x1813),x1811),f15(f15(a20,a21),a23))+P1(f12(x1812,x1813,x1811))
% 1.06/1.51 [182]~P1(x1823)+~P1(x1822)+~P1(x1821)+P3(x1821,x1822)+E(x1821,a19)+~E(f11(x1823,x1822,x1821),x1821)+~P3(x1821,f16(x1823,x1822))+E(x1821,a1)+~P4(f15(f15(x1823,x1822),x1821),f15(f15(a20,a21),a23))+P1(f13(x1823,x1822,x1821))
% 1.06/1.51 [184]P3(x1841,x1842)+~P1(x1842)+~P1(x1841)+~P1(x1843)+E(x1841,a19)+~P3(x1841,f16(x1842,x1843))+E(x1841,a1)+~E(f11(x1842,x1843,x1841),a19)+~P4(f15(f15(x1842,x1843),x1841),f15(f15(a20,a21),a23))+E(f16(x1841,f12(x1842,x1843,x1841)),x1843)
% 1.06/1.51 [185]P3(x1851,x1853)+~P1(x1852)+~P1(x1853)+~P1(x1851)+E(x1851,a19)+~P3(x1851,f16(x1852,x1853))+E(x1851,a1)+~E(f11(x1852,x1853,x1851),a19)+~P4(f15(f15(x1852,x1853),x1851),f15(f15(a20,a21),a23))+E(f16(x1851,f13(x1852,x1853,x1851)),x1852)
% 1.06/1.51 [186]P3(x1861,x1862)+~P1(x1862)+~P1(x1861)+~P1(x1863)+E(x1861,a19)+~E(f11(x1862,x1863,x1861),x1861)+~P3(x1861,f16(x1862,x1863))+E(x1861,a1)+~P4(f15(f15(x1862,x1863),x1861),f15(f15(a20,a21),a23))+E(f16(x1861,f12(x1862,x1863,x1861)),x1863)
% 1.06/1.51 [187]P3(x1871,x1873)+~P1(x1872)+~P1(x1873)+~P1(x1871)+E(x1871,a19)+~E(f11(x1872,x1873,x1871),x1871)+~P3(x1871,f16(x1872,x1873))+E(x1871,a1)+~P4(f15(f15(x1872,x1873),x1871),f15(f15(a20,a21),a23))+E(f16(x1871,f13(x1872,x1873,x1871)),x1872)
% 1.06/1.51 [202]~P1(x2021)+~P1(x2023)+~P1(x2022)+P3(x2021,x2022)+E(x2021,a19)+~P3(x2021,f16(x2022,x2023))+E(x2021,a1)+P1(f12(x2022,x2023,x2021))+~P4(f15(f15(x2022,x2023),x2021),f15(f15(a20,a21),a23))+P1(f11(x2022,x2023,x2021))
% 1.06/1.51 [203]~P1(x2031)+~P1(x2033)+~P1(x2032)+P3(x2031,x2032)+E(x2031,a19)+~P3(x2031,f16(x2032,x2033))+E(x2031,a1)+P1(f12(x2032,x2033,x2031))+~P4(f15(f15(x2032,x2033),x2031),f15(f15(a20,a21),a23))+P1(f14(x2032,x2033,x2031))
% 1.06/1.51 [204]~P1(x2043)+~P1(x2042)+~P1(x2041)+P3(x2041,x2042)+E(x2041,a19)+~P3(x2041,f16(x2043,x2042))+E(x2041,a1)+P1(f13(x2043,x2042,x2041))+~P4(f15(f15(x2043,x2042),x2041),f15(f15(a20,a21),a23))+P1(f11(x2043,x2042,x2041))
% 1.06/1.51 [205]~P1(x2053)+~P1(x2052)+~P1(x2051)+P3(x2051,x2052)+E(x2051,a19)+~P3(x2051,f16(x2053,x2052))+E(x2051,a1)+P1(f13(x2053,x2052,x2051))+~P4(f15(f15(x2053,x2052),x2051),f15(f15(a20,a21),a23))+P1(f14(x2053,x2052,x2051))
% 1.06/1.51 [211]~P1(x2111)+~P1(x2113)+~P1(x2112)+P3(x2111,x2112)+E(x2111,a19)+P3(f11(x2112,x2113,x2111),x2111)+~P3(x2111,f16(x2112,x2113))+E(x2111,a1)+~P4(f15(f15(x2112,x2113),x2111),f15(f15(a20,a21),a23))+P1(f12(x2112,x2113,x2111))
% 1.06/1.51 [212]~P1(x2123)+~P1(x2122)+~P1(x2121)+P3(x2121,x2122)+E(x2121,a19)+P3(f11(x2123,x2122,x2121),x2121)+~P3(x2121,f16(x2123,x2122))+E(x2121,a1)+~P4(f15(f15(x2123,x2122),x2121),f15(f15(a20,a21),a23))+P1(f13(x2123,x2122,x2121))
% 1.06/1.51 [213]P3(x2131,x2132)+~P1(x2132)+~P1(x2131)+~P1(x2133)+E(x2131,a19)+~P3(x2131,f16(x2132,x2133))+E(x2131,a1)+P1(f11(x2132,x2133,x2131))+~P4(f15(f15(x2132,x2133),x2131),f15(f15(a20,a21),a23))+E(f16(x2131,f12(x2132,x2133,x2131)),x2133)
% 1.06/1.51 [214]P3(x2141,x2142)+~P1(x2142)+~P1(x2141)+~P1(x2143)+E(x2141,a19)+~P3(x2141,f16(x2142,x2143))+E(x2141,a1)+P1(f14(x2142,x2143,x2141))+~P4(f15(f15(x2142,x2143),x2141),f15(f15(a20,a21),a23))+E(f16(x2141,f12(x2142,x2143,x2141)),x2143)
% 1.06/1.51 [215]P3(x2151,x2153)+~P1(x2152)+~P1(x2153)+~P1(x2151)+E(x2151,a19)+~P3(x2151,f16(x2152,x2153))+E(x2151,a1)+P1(f11(x2152,x2153,x2151))+~P4(f15(f15(x2152,x2153),x2151),f15(f15(a20,a21),a23))+E(f16(x2151,f13(x2152,x2153,x2151)),x2152)
% 1.06/1.51 [216]P3(x2161,x2163)+~P1(x2162)+~P1(x2163)+~P1(x2161)+E(x2161,a19)+~P3(x2161,f16(x2162,x2163))+E(x2161,a1)+P1(f14(x2162,x2163,x2161))+~P4(f15(f15(x2162,x2163),x2161),f15(f15(a20,a21),a23))+E(f16(x2161,f13(x2162,x2163,x2161)),x2162)
% 1.06/1.51 [218]P3(x2181,x2182)+~P1(x2182)+~P1(x2181)+~P1(x2183)+E(x2181,a19)+P3(f11(x2182,x2183,x2181),x2181)+~P3(x2181,f16(x2182,x2183))+E(x2181,a1)+~P4(f15(f15(x2182,x2183),x2181),f15(f15(a20,a21),a23))+E(f16(x2181,f12(x2182,x2183,x2181)),x2183)
% 1.06/1.51 [219]P3(x2191,x2193)+~P1(x2192)+~P1(x2193)+~P1(x2191)+E(x2191,a19)+P3(f11(x2192,x2193,x2191),x2191)+~P3(x2191,f16(x2192,x2193))+E(x2191,a1)+~P4(f15(f15(x2192,x2193),x2191),f15(f15(a20,a21),a23))+E(f16(x2191,f13(x2192,x2193,x2191)),x2192)
% 1.06/1.51 [220]P3(x2201,x2202)+P3(x2201,x2203)+~P1(x2202)+~P1(x2203)+~P1(x2201)+E(x2201,a19)+~P3(x2201,f16(x2202,x2203))+E(x2201,a1)+~P4(f15(f15(x2202,x2203),x2201),f15(f15(a20,a21),a23))+E(f16(f11(x2202,x2203,x2201),f14(x2202,x2203,x2201)),x2201)
% 1.06/1.51 [227]~P1(x2271)+~P1(x2273)+~P1(x2272)+E(x2271,a19)+~P3(x2271,f16(x2272,x2273))+E(x2271,a1)+P1(f12(x2272,x2273,x2271))+~E(f11(x2272,x2273,x2271),a19)+~P4(f15(f15(x2272,x2273),x2271),f15(f15(a20,a21),a23))+P1(f13(x2272,x2273,x2271))
% 1.06/1.51 [228]~P1(x2281)+~P1(x2283)+~P1(x2282)+E(x2281,a19)+~E(f11(x2282,x2283,x2281),x2281)+~P3(x2281,f16(x2282,x2283))+E(x2281,a1)+P1(f12(x2282,x2283,x2281))+~P4(f15(f15(x2282,x2283),x2281),f15(f15(a20,a21),a23))+P1(f13(x2282,x2283,x2281))
% 1.06/1.51 [231]~P1(x2311)+~P1(x2313)+~P1(x2312)+E(x2311,a19)+~P3(x2311,f16(x2312,x2313))+E(x2311,a1)+P1(f12(x2312,x2313,x2311))+~E(f11(x2312,x2313,x2311),a19)+~P4(f15(f15(x2312,x2313),x2311),f15(f15(a20,a21),a23))+E(f16(x2311,f13(x2312,x2313,x2311)),x2312)
% 1.06/1.51 [232]~P1(x2322)+~P1(x2321)+~P1(x2323)+E(x2321,a19)+~P3(x2321,f16(x2322,x2323))+E(x2321,a1)+P1(f13(x2322,x2323,x2321))+~E(f11(x2322,x2323,x2321),a19)+~P4(f15(f15(x2322,x2323),x2321),f15(f15(a20,a21),a23))+E(f16(x2321,f12(x2322,x2323,x2321)),x2323)
% 1.06/1.51 [233]~P1(x2331)+~P1(x2333)+~P1(x2332)+E(x2331,a19)+~E(f11(x2332,x2333,x2331),x2331)+~P3(x2331,f16(x2332,x2333))+E(x2331,a1)+P1(f12(x2332,x2333,x2331))+~P4(f15(f15(x2332,x2333),x2331),f15(f15(a20,a21),a23))+E(f16(x2331,f13(x2332,x2333,x2331)),x2332)
% 1.06/1.51 [234]~P1(x2342)+~P1(x2341)+~P1(x2343)+E(x2341,a19)+~E(f11(x2342,x2343,x2341),x2341)+~P3(x2341,f16(x2342,x2343))+E(x2341,a1)+P1(f13(x2342,x2343,x2341))+~P4(f15(f15(x2342,x2343),x2341),f15(f15(a20,a21),a23))+E(f16(x2341,f12(x2342,x2343,x2341)),x2343)
% 1.06/1.51 [237]~P1(x2372)+~P1(x2371)+~P1(x2373)+E(x2371,a19)+~P3(x2371,f16(x2372,x2373))+E(x2371,a1)+E(f16(x2371,f12(x2372,x2373,x2371)),x2373)+~E(f11(x2372,x2373,x2371),a19)+~P4(f15(f15(x2372,x2373),x2371),f15(f15(a20,a21),a23))+E(f16(x2371,f13(x2372,x2373,x2371)),x2372)
% 1.06/1.51 [238]~P1(x2382)+~P1(x2381)+~P1(x2383)+E(x2381,a19)+~E(f11(x2382,x2383,x2381),x2381)+~P3(x2381,f16(x2382,x2383))+E(x2381,a1)+E(f16(x2381,f12(x2382,x2383,x2381)),x2383)+~P4(f15(f15(x2382,x2383),x2381),f15(f15(a20,a21),a23))+E(f16(x2381,f13(x2382,x2383,x2381)),x2382)
% 1.06/1.51 [244]~P1(x2441)+~P1(x2443)+~P1(x2442)+E(x2441,a19)+~P3(x2441,f16(x2442,x2443))+E(x2441,a1)+P1(f13(x2442,x2443,x2441))+P1(f12(x2442,x2443,x2441))+~P4(f15(f15(x2442,x2443),x2441),f15(f15(a20,a21),a23))+P1(f11(x2442,x2443,x2441))
% 1.06/1.51 [245]~P1(x2451)+~P1(x2453)+~P1(x2452)+E(x2451,a19)+~P3(x2451,f16(x2452,x2453))+E(x2451,a1)+P1(f13(x2452,x2453,x2451))+P1(f12(x2452,x2453,x2451))+~P4(f15(f15(x2452,x2453),x2451),f15(f15(a20,a21),a23))+P1(f14(x2452,x2453,x2451))
% 1.06/1.51 [252]~P1(x2521)+~P1(x2523)+~P1(x2522)+E(x2521,a19)+P3(f11(x2522,x2523,x2521),x2521)+~P3(x2521,f16(x2522,x2523))+E(x2521,a1)+P1(f12(x2522,x2523,x2521))+~P4(f15(f15(x2522,x2523),x2521),f15(f15(a20,a21),a23))+P1(f13(x2522,x2523,x2521))
% 1.06/1.51 [253]~P1(x2531)+~P1(x2533)+~P1(x2532)+E(x2531,a19)+~P3(x2531,f16(x2532,x2533))+E(x2531,a1)+P1(f11(x2532,x2533,x2531))+P1(f12(x2532,x2533,x2531))+~P4(f15(f15(x2532,x2533),x2531),f15(f15(a20,a21),a23))+E(f16(x2531,f13(x2532,x2533,x2531)),x2532)
% 1.06/1.51 [254]~P1(x2541)+~P1(x2543)+~P1(x2542)+E(x2541,a19)+~P3(x2541,f16(x2542,x2543))+E(x2541,a1)+P1(f14(x2542,x2543,x2541))+P1(f12(x2542,x2543,x2541))+~P4(f15(f15(x2542,x2543),x2541),f15(f15(a20,a21),a23))+E(f16(x2541,f13(x2542,x2543,x2541)),x2542)
% 1.06/1.51 [255]~P1(x2552)+~P1(x2551)+~P1(x2553)+E(x2551,a19)+~P3(x2551,f16(x2552,x2553))+E(x2551,a1)+P1(f11(x2552,x2553,x2551))+P1(f13(x2552,x2553,x2551))+~P4(f15(f15(x2552,x2553),x2551),f15(f15(a20,a21),a23))+E(f16(x2551,f12(x2552,x2553,x2551)),x2553)
% 1.06/1.51 [256]~P1(x2562)+~P1(x2561)+~P1(x2563)+E(x2561,a19)+~P3(x2561,f16(x2562,x2563))+E(x2561,a1)+P1(f14(x2562,x2563,x2561))+P1(f13(x2562,x2563,x2561))+~P4(f15(f15(x2562,x2563),x2561),f15(f15(a20,a21),a23))+E(f16(x2561,f12(x2562,x2563,x2561)),x2563)
% 1.06/1.51 [260]~P1(x2601)+~P1(x2603)+~P1(x2602)+E(x2601,a19)+P3(f11(x2602,x2603,x2601),x2601)+~P3(x2601,f16(x2602,x2603))+E(x2601,a1)+P1(f12(x2602,x2603,x2601))+~P4(f15(f15(x2602,x2603),x2601),f15(f15(a20,a21),a23))+E(f16(x2601,f13(x2602,x2603,x2601)),x2602)
% 1.06/1.51 [261]~P1(x2612)+~P1(x2611)+~P1(x2613)+E(x2611,a19)+P3(f11(x2612,x2613,x2611),x2611)+~P3(x2611,f16(x2612,x2613))+E(x2611,a1)+P1(f13(x2612,x2613,x2611))+~P4(f15(f15(x2612,x2613),x2611),f15(f15(a20,a21),a23))+E(f16(x2611,f12(x2612,x2613,x2611)),x2613)
% 1.06/1.51 [262]P3(x2621,x2622)+~P1(x2621)+~P1(x2623)+~P1(x2622)+E(x2621,a19)+~P3(x2621,f16(x2622,x2623))+E(x2621,a1)+P1(f12(x2622,x2623,x2621))+~P4(f15(f15(x2622,x2623),x2621),f15(f15(a20,a21),a23))+E(f16(f11(x2622,x2623,x2621),f14(x2622,x2623,x2621)),x2621)
% 1.06/1.51 [263]P3(x2631,x2633)+~P1(x2632)+~P1(x2633)+~P1(x2631)+E(x2631,a19)+~P3(x2631,f16(x2632,x2633))+E(x2631,a1)+P1(f13(x2632,x2633,x2631))+~P4(f15(f15(x2632,x2633),x2631),f15(f15(a20,a21),a23))+E(f16(f11(x2632,x2633,x2631),f14(x2632,x2633,x2631)),x2631)
% 1.06/1.51 [264]~P1(x2642)+~P1(x2641)+~P1(x2643)+E(x2641,a19)+~P3(x2641,f16(x2642,x2643))+E(x2641,a1)+E(f16(x2641,f12(x2642,x2643,x2641)),x2643)+P1(f11(x2642,x2643,x2641))+~P4(f15(f15(x2642,x2643),x2641),f15(f15(a20,a21),a23))+E(f16(x2641,f13(x2642,x2643,x2641)),x2642)
% 1.06/1.51 [265]~P1(x2652)+~P1(x2651)+~P1(x2653)+E(x2651,a19)+~P3(x2651,f16(x2652,x2653))+E(x2651,a1)+E(f16(x2651,f12(x2652,x2653,x2651)),x2653)+P1(f14(x2652,x2653,x2651))+~P4(f15(f15(x2652,x2653),x2651),f15(f15(a20,a21),a23))+E(f16(x2651,f13(x2652,x2653,x2651)),x2652)
% 1.06/1.51 [266]~P1(x2662)+~P1(x2661)+~P1(x2663)+E(x2661,a19)+P3(f11(x2662,x2663,x2661),x2661)+~P3(x2661,f16(x2662,x2663))+E(x2661,a1)+E(f16(x2661,f12(x2662,x2663,x2661)),x2663)+~P4(f15(f15(x2662,x2663),x2661),f15(f15(a20,a21),a23))+E(f16(x2661,f13(x2662,x2663,x2661)),x2662)
% 1.06/1.51 [267]P3(x2671,x2672)+~P1(x2672)+~P1(x2671)+~P1(x2673)+E(x2671,a19)+~P3(x2671,f16(x2672,x2673))+E(x2671,a1)+E(f16(f11(x2672,x2673,x2671),f14(x2672,x2673,x2671)),x2671)+~P4(f15(f15(x2672,x2673),x2671),f15(f15(a20,a21),a23))+E(f16(x2671,f12(x2672,x2673,x2671)),x2673)
% 1.06/1.51 [268]P3(x2681,x2683)+~P1(x2682)+~P1(x2683)+~P1(x2681)+E(x2681,a19)+~P3(x2681,f16(x2682,x2683))+E(x2681,a1)+E(f16(f11(x2682,x2683,x2681),f14(x2682,x2683,x2681)),x2681)+~P4(f15(f15(x2682,x2683),x2681),f15(f15(a20,a21),a23))+E(f16(x2681,f13(x2682,x2683,x2681)),x2682)
% 1.06/1.51 [272]~P1(x2721)+~P1(x2723)+~P1(x2722)+E(x2721,a19)+~P3(x2721,f16(x2722,x2723))+E(x2721,a1)+P1(f13(x2722,x2723,x2721))+P1(f12(x2722,x2723,x2721))+~P4(f15(f15(x2722,x2723),x2721),f15(f15(a20,a21),a23))+E(f16(f11(x2722,x2723,x2721),f14(x2722,x2723,x2721)),x2721)
% 1.06/1.51 [274]~P1(x2741)+~P1(x2743)+~P1(x2742)+E(x2741,a19)+~P3(x2741,f16(x2742,x2743))+E(x2741,a1)+E(f16(f11(x2742,x2743,x2741),f14(x2742,x2743,x2741)),x2741)+P1(f12(x2742,x2743,x2741))+~P4(f15(f15(x2742,x2743),x2741),f15(f15(a20,a21),a23))+E(f16(x2741,f13(x2742,x2743,x2741)),x2742)
% 1.06/1.51 [275]~P1(x2752)+~P1(x2751)+~P1(x2753)+E(x2751,a19)+~P3(x2751,f16(x2752,x2753))+E(x2751,a1)+E(f16(f11(x2752,x2753,x2751),f14(x2752,x2753,x2751)),x2751)+P1(f13(x2752,x2753,x2751))+~P4(f15(f15(x2752,x2753),x2751),f15(f15(a20,a21),a23))+E(f16(x2751,f12(x2752,x2753,x2751)),x2753)
% 1.06/1.51 [276]~P1(x2762)+~P1(x2761)+~P1(x2763)+E(x2761,a19)+~P3(x2761,f16(x2762,x2763))+E(x2761,a1)+E(f16(x2761,f12(x2762,x2763,x2761)),x2763)+E(f16(f11(x2762,x2763,x2761),f14(x2762,x2763,x2761)),x2761)+~P4(f15(f15(x2762,x2763),x2761),f15(f15(a20,a21),a23))+E(f16(x2761,f13(x2762,x2763,x2761)),x2762)
% 1.06/1.51 [153]~P1(x1534)+~P1(x1532)+~P1(x1533)+~P1(x1531)+P3(x1531,x1532)+P3(x1531,x1533)+E(x1531,a19)+E(x1531,a1)+~E(f16(x1531,x1534),f16(x1532,x1533))+~E(f11(x1532,x1533,x1531),a19)+~P4(f15(f15(x1532,x1533),x1531),f15(f15(a20,a21),a23))
% 1.06/1.51 [154]~P1(x1544)+~P1(x1542)+~P1(x1543)+~P1(x1541)+P3(x1541,x1542)+P3(x1541,x1543)+E(x1541,a19)+~E(f11(x1542,x1543,x1541),x1541)+E(x1541,a1)+~E(f16(x1541,x1544),f16(x1542,x1543))+~P4(f15(f15(x1542,x1543),x1541),f15(f15(a20,a21),a23))
% 1.06/1.51 [159]~P1(x1594)+~P1(x1592)+~P1(x1593)+~P1(x1591)+P3(x1591,x1592)+P3(x1591,x1593)+E(x1591,a19)+E(x1591,a1)+~E(f16(x1591,x1594),f16(x1592,x1593))+P1(f11(x1592,x1593,x1591))+~P4(f15(f15(x1592,x1593),x1591),f15(f15(a20,a21),a23))
% 1.06/1.51 [160]~P1(x1604)+~P1(x1602)+~P1(x1603)+~P1(x1601)+P3(x1601,x1602)+P3(x1601,x1603)+E(x1601,a19)+E(x1601,a1)+~E(f16(x1601,x1604),f16(x1602,x1603))+P1(f14(x1602,x1603,x1601))+~P4(f15(f15(x1602,x1603),x1601),f15(f15(a20,a21),a23))
% 1.06/1.51 [165]~P1(x1654)+~P1(x1652)+~P1(x1653)+~P1(x1651)+P3(x1651,x1652)+P3(x1651,x1653)+E(x1651,a19)+P3(f11(x1652,x1653,x1651),x1651)+E(x1651,a1)+~E(f16(x1651,x1654),f16(x1652,x1653))+~P4(f15(f15(x1652,x1653),x1651),f15(f15(a20,a21),a23))
% 1.06/1.51 [171]~P1(x1714)+~P1(x1711)+~P1(x1713)+~P1(x1712)+P3(x1711,x1712)+E(x1711,a19)+E(x1711,a1)+~E(f16(x1712,x1713),f16(x1711,x1714))+~E(f11(x1712,x1713,x1711),a19)+P1(f12(x1712,x1713,x1711))+~P4(f15(f15(x1712,x1713),x1711),f15(f15(a20,a21),a23))
% 1.06/1.51 [172]~P1(x1724)+~P1(x1723)+~P1(x1722)+~P1(x1721)+P3(x1721,x1722)+E(x1721,a19)+E(x1721,a1)+~E(f16(x1721,x1724),f16(x1723,x1722))+~E(f11(x1723,x1722,x1721),a19)+P1(f13(x1723,x1722,x1721))+~P4(f15(f15(x1723,x1722),x1721),f15(f15(a20,a21),a23))
% 1.06/1.51 [173]~P1(x1734)+~P1(x1731)+~P1(x1733)+~P1(x1732)+P3(x1731,x1732)+E(x1731,a19)+~E(f11(x1732,x1733,x1731),x1731)+E(x1731,a1)+~E(f16(x1732,x1733),f16(x1731,x1734))+~P4(f15(f15(x1732,x1733),x1731),f15(f15(a20,a21),a23))+P1(f12(x1732,x1733,x1731))
% 1.06/1.51 [174]~P1(x1744)+~P1(x1743)+~P1(x1742)+~P1(x1741)+P3(x1741,x1742)+E(x1741,a19)+~E(f11(x1743,x1742,x1741),x1741)+E(x1741,a1)+~E(f16(x1741,x1744),f16(x1743,x1742))+~P4(f15(f15(x1743,x1742),x1741),f15(f15(a20,a21),a23))+P1(f13(x1743,x1742,x1741))
% 1.06/1.51 [175]P3(x1751,x1752)+~P1(x1754)+~P1(x1752)+~P1(x1751)+~P1(x1753)+E(x1751,a19)+E(x1751,a1)+~E(f16(x1751,x1754),f16(x1752,x1753))+~E(f11(x1752,x1753,x1751),a19)+~P4(f15(f15(x1752,x1753),x1751),f15(f15(a20,a21),a23))+E(f16(x1751,f12(x1752,x1753,x1751)),x1753)
% 1.06/1.51 [176]P3(x1761,x1763)+~P1(x1764)+~P1(x1762)+~P1(x1763)+~P1(x1761)+E(x1761,a19)+E(x1761,a1)+~E(f16(x1761,x1764),f16(x1762,x1763))+~E(f11(x1762,x1763,x1761),a19)+~P4(f15(f15(x1762,x1763),x1761),f15(f15(a20,a21),a23))+E(f16(x1761,f13(x1762,x1763,x1761)),x1762)
% 1.06/1.51 [177]P3(x1771,x1772)+~P1(x1774)+~P1(x1772)+~P1(x1771)+~P1(x1773)+E(x1771,a19)+~E(f11(x1772,x1773,x1771),x1771)+E(x1771,a1)+~E(f16(x1771,x1774),f16(x1772,x1773))+~P4(f15(f15(x1772,x1773),x1771),f15(f15(a20,a21),a23))+E(f16(x1771,f12(x1772,x1773,x1771)),x1773)
% 1.06/1.51 [178]P3(x1781,x1783)+~P1(x1784)+~P1(x1782)+~P1(x1783)+~P1(x1781)+E(x1781,a19)+~E(f11(x1782,x1783,x1781),x1781)+E(x1781,a1)+~E(f16(x1781,x1784),f16(x1782,x1783))+~P4(f15(f15(x1782,x1783),x1781),f15(f15(a20,a21),a23))+E(f16(x1781,f13(x1782,x1783,x1781)),x1782)
% 1.06/1.51 [188]~P1(x1884)+~P1(x1881)+~P1(x1883)+~P1(x1882)+P3(x1881,x1882)+E(x1881,a19)+E(x1881,a1)+~E(f16(x1882,x1883),f16(x1881,x1884))+P1(f12(x1882,x1883,x1881))+~P4(f15(f15(x1882,x1883),x1881),f15(f15(a20,a21),a23))+P1(f11(x1882,x1883,x1881))
% 1.06/1.51 [189]~P1(x1894)+~P1(x1891)+~P1(x1893)+~P1(x1892)+P3(x1891,x1892)+E(x1891,a19)+E(x1891,a1)+~E(f16(x1892,x1893),f16(x1891,x1894))+P1(f12(x1892,x1893,x1891))+~P4(f15(f15(x1892,x1893),x1891),f15(f15(a20,a21),a23))+P1(f14(x1892,x1893,x1891))
% 1.06/1.51 [190]~P1(x1904)+~P1(x1903)+~P1(x1902)+~P1(x1901)+P3(x1901,x1902)+E(x1901,a19)+E(x1901,a1)+~E(f16(x1901,x1904),f16(x1903,x1902))+P1(f13(x1903,x1902,x1901))+~P4(f15(f15(x1903,x1902),x1901),f15(f15(a20,a21),a23))+P1(f11(x1903,x1902,x1901))
% 1.06/1.51 [191]~P1(x1914)+~P1(x1913)+~P1(x1912)+~P1(x1911)+P3(x1911,x1912)+E(x1911,a19)+E(x1911,a1)+~E(f16(x1911,x1914),f16(x1913,x1912))+P1(f13(x1913,x1912,x1911))+~P4(f15(f15(x1913,x1912),x1911),f15(f15(a20,a21),a23))+P1(f14(x1913,x1912,x1911))
% 1.06/1.51 [195]~P1(x1954)+~P1(x1951)+~P1(x1953)+~P1(x1952)+P3(x1951,x1952)+E(x1951,a19)+P3(f11(x1952,x1953,x1951),x1951)+E(x1951,a1)+~E(f16(x1952,x1953),f16(x1951,x1954))+~P4(f15(f15(x1952,x1953),x1951),f15(f15(a20,a21),a23))+P1(f12(x1952,x1953,x1951))
% 1.06/1.51 [196]~P1(x1964)+~P1(x1963)+~P1(x1962)+~P1(x1961)+P3(x1961,x1962)+E(x1961,a19)+P3(f11(x1963,x1962,x1961),x1961)+E(x1961,a1)+~E(f16(x1961,x1964),f16(x1963,x1962))+~P4(f15(f15(x1963,x1962),x1961),f15(f15(a20,a21),a23))+P1(f13(x1963,x1962,x1961))
% 1.06/1.51 [197]P3(x1971,x1972)+~P1(x1974)+~P1(x1972)+~P1(x1971)+~P1(x1973)+E(x1971,a19)+E(x1971,a1)+~E(f16(x1971,x1974),f16(x1972,x1973))+P1(f11(x1972,x1973,x1971))+~P4(f15(f15(x1972,x1973),x1971),f15(f15(a20,a21),a23))+E(f16(x1971,f12(x1972,x1973,x1971)),x1973)
% 1.06/1.51 [198]P3(x1981,x1982)+~P1(x1984)+~P1(x1982)+~P1(x1981)+~P1(x1983)+E(x1981,a19)+E(x1981,a1)+~E(f16(x1981,x1984),f16(x1982,x1983))+P1(f14(x1982,x1983,x1981))+~P4(f15(f15(x1982,x1983),x1981),f15(f15(a20,a21),a23))+E(f16(x1981,f12(x1982,x1983,x1981)),x1983)
% 1.06/1.51 [199]P3(x1991,x1993)+~P1(x1994)+~P1(x1992)+~P1(x1993)+~P1(x1991)+E(x1991,a19)+E(x1991,a1)+~E(f16(x1991,x1994),f16(x1992,x1993))+P1(f11(x1992,x1993,x1991))+~P4(f15(f15(x1992,x1993),x1991),f15(f15(a20,a21),a23))+E(f16(x1991,f13(x1992,x1993,x1991)),x1992)
% 1.06/1.51 [200]P3(x2001,x2003)+~P1(x2004)+~P1(x2002)+~P1(x2003)+~P1(x2001)+E(x2001,a19)+E(x2001,a1)+~E(f16(x2001,x2004),f16(x2002,x2003))+P1(f14(x2002,x2003,x2001))+~P4(f15(f15(x2002,x2003),x2001),f15(f15(a20,a21),a23))+E(f16(x2001,f13(x2002,x2003,x2001)),x2002)
% 1.06/1.51 [208]P3(x2081,x2082)+~P1(x2084)+~P1(x2082)+~P1(x2081)+~P1(x2083)+E(x2081,a19)+P3(f11(x2082,x2083,x2081),x2081)+E(x2081,a1)+~E(f16(x2081,x2084),f16(x2082,x2083))+~P4(f15(f15(x2082,x2083),x2081),f15(f15(a20,a21),a23))+E(f16(x2081,f12(x2082,x2083,x2081)),x2083)
% 1.06/1.51 [209]P3(x2091,x2093)+~P1(x2094)+~P1(x2092)+~P1(x2093)+~P1(x2091)+E(x2091,a19)+P3(f11(x2092,x2093,x2091),x2091)+E(x2091,a1)+~E(f16(x2091,x2094),f16(x2092,x2093))+~P4(f15(f15(x2092,x2093),x2091),f15(f15(a20,a21),a23))+E(f16(x2091,f13(x2092,x2093,x2091)),x2092)
% 1.06/1.51 [210]P3(x2101,x2102)+P3(x2101,x2103)+~P1(x2104)+~P1(x2102)+~P1(x2103)+~P1(x2101)+E(x2101,a19)+E(x2101,a1)+~E(f16(x2101,x2104),f16(x2102,x2103))+~P4(f15(f15(x2102,x2103),x2101),f15(f15(a20,a21),a23))+E(f16(f11(x2102,x2103,x2101),f14(x2102,x2103,x2101)),x2101)
% 1.06/1.51 [221]~P1(x2214)+~P1(x2211)+~P1(x2213)+~P1(x2212)+E(x2211,a19)+E(x2211,a1)+~E(f16(x2212,x2213),f16(x2211,x2214))+P1(f12(x2212,x2213,x2211))+~E(f11(x2212,x2213,x2211),a19)+~P4(f15(f15(x2212,x2213),x2211),f15(f15(a20,a21),a23))+P1(f13(x2212,x2213,x2211))
% 1.06/1.51 [222]~P1(x2224)+~P1(x2221)+~P1(x2223)+~P1(x2222)+E(x2221,a19)+~E(f11(x2222,x2223,x2221),x2221)+E(x2221,a1)+~E(f16(x2222,x2223),f16(x2221,x2224))+P1(f12(x2222,x2223,x2221))+~P4(f15(f15(x2222,x2223),x2221),f15(f15(a20,a21),a23))+P1(f13(x2222,x2223,x2221))
% 1.06/1.51 [223]~P1(x2234)+~P1(x2231)+~P1(x2233)+~P1(x2232)+E(x2231,a19)+E(x2231,a1)+~E(f16(x2232,x2233),f16(x2231,x2234))+P1(f12(x2232,x2233,x2231))+~E(f11(x2232,x2233,x2231),a19)+~P4(f15(f15(x2232,x2233),x2231),f15(f15(a20,a21),a23))+E(f16(x2231,f13(x2232,x2233,x2231)),x2232)
% 1.06/1.51 [224]~P1(x2244)+~P1(x2242)+~P1(x2241)+~P1(x2243)+E(x2241,a19)+E(x2241,a1)+~E(f16(x2241,x2244),f16(x2242,x2243))+P1(f13(x2242,x2243,x2241))+~E(f11(x2242,x2243,x2241),a19)+~P4(f15(f15(x2242,x2243),x2241),f15(f15(a20,a21),a23))+E(f16(x2241,f12(x2242,x2243,x2241)),x2243)
% 1.06/1.51 [225]~P1(x2254)+~P1(x2251)+~P1(x2253)+~P1(x2252)+E(x2251,a19)+~E(f11(x2252,x2253,x2251),x2251)+E(x2251,a1)+~E(f16(x2252,x2253),f16(x2251,x2254))+P1(f12(x2252,x2253,x2251))+~P4(f15(f15(x2252,x2253),x2251),f15(f15(a20,a21),a23))+E(f16(x2251,f13(x2252,x2253,x2251)),x2252)
% 1.06/1.51 [226]~P1(x2264)+~P1(x2262)+~P1(x2261)+~P1(x2263)+E(x2261,a19)+~E(f11(x2262,x2263,x2261),x2261)+E(x2261,a1)+~E(f16(x2261,x2264),f16(x2262,x2263))+P1(f13(x2262,x2263,x2261))+~P4(f15(f15(x2262,x2263),x2261),f15(f15(a20,a21),a23))+E(f16(x2261,f12(x2262,x2263,x2261)),x2263)
% 1.06/1.51 [229]~P1(x2294)+~P1(x2292)+~P1(x2291)+~P1(x2293)+E(x2291,a19)+E(x2291,a1)+~E(f16(x2291,x2294),f16(x2292,x2293))+E(f16(x2291,f12(x2292,x2293,x2291)),x2293)+~E(f11(x2292,x2293,x2291),a19)+~P4(f15(f15(x2292,x2293),x2291),f15(f15(a20,a21),a23))+E(f16(x2291,f13(x2292,x2293,x2291)),x2292)
% 1.06/1.51 [230]~P1(x2304)+~P1(x2302)+~P1(x2301)+~P1(x2303)+E(x2301,a19)+~E(f11(x2302,x2303,x2301),x2301)+E(x2301,a1)+~E(f16(x2301,x2304),f16(x2302,x2303))+E(f16(x2301,f12(x2302,x2303,x2301)),x2303)+~P4(f15(f15(x2302,x2303),x2301),f15(f15(a20,a21),a23))+E(f16(x2301,f13(x2302,x2303,x2301)),x2302)
% 1.06/1.51 [235]~P1(x2354)+~P1(x2351)+~P1(x2353)+~P1(x2352)+E(x2351,a19)+E(x2351,a1)+~E(f16(x2352,x2353),f16(x2351,x2354))+P1(f13(x2352,x2353,x2351))+P1(f12(x2352,x2353,x2351))+~P4(f15(f15(x2352,x2353),x2351),f15(f15(a20,a21),a23))+P1(f11(x2352,x2353,x2351))
% 1.06/1.51 [236]~P1(x2364)+~P1(x2361)+~P1(x2363)+~P1(x2362)+E(x2361,a19)+E(x2361,a1)+~E(f16(x2362,x2363),f16(x2361,x2364))+P1(f13(x2362,x2363,x2361))+P1(f12(x2362,x2363,x2361))+~P4(f15(f15(x2362,x2363),x2361),f15(f15(a20,a21),a23))+P1(f14(x2362,x2363,x2361))
% 1.06/1.51 [239]~P1(x2394)+~P1(x2391)+~P1(x2393)+~P1(x2392)+E(x2391,a19)+P3(f11(x2392,x2393,x2391),x2391)+E(x2391,a1)+~E(f16(x2392,x2393),f16(x2391,x2394))+P1(f12(x2392,x2393,x2391))+~P4(f15(f15(x2392,x2393),x2391),f15(f15(a20,a21),a23))+P1(f13(x2392,x2393,x2391))
% 1.06/1.51 [240]~P1(x2404)+~P1(x2401)+~P1(x2403)+~P1(x2402)+E(x2401,a19)+E(x2401,a1)+~E(f16(x2402,x2403),f16(x2401,x2404))+P1(f11(x2402,x2403,x2401))+P1(f12(x2402,x2403,x2401))+~P4(f15(f15(x2402,x2403),x2401),f15(f15(a20,a21),a23))+E(f16(x2401,f13(x2402,x2403,x2401)),x2402)
% 1.06/1.51 [241]~P1(x2414)+~P1(x2411)+~P1(x2413)+~P1(x2412)+E(x2411,a19)+E(x2411,a1)+~E(f16(x2412,x2413),f16(x2411,x2414))+P1(f14(x2412,x2413,x2411))+P1(f12(x2412,x2413,x2411))+~P4(f15(f15(x2412,x2413),x2411),f15(f15(a20,a21),a23))+E(f16(x2411,f13(x2412,x2413,x2411)),x2412)
% 1.06/1.51 [242]~P1(x2424)+~P1(x2422)+~P1(x2421)+~P1(x2423)+E(x2421,a19)+E(x2421,a1)+~E(f16(x2421,x2424),f16(x2422,x2423))+P1(f11(x2422,x2423,x2421))+P1(f13(x2422,x2423,x2421))+~P4(f15(f15(x2422,x2423),x2421),f15(f15(a20,a21),a23))+E(f16(x2421,f12(x2422,x2423,x2421)),x2423)
% 1.06/1.51 [243]~P1(x2434)+~P1(x2432)+~P1(x2431)+~P1(x2433)+E(x2431,a19)+E(x2431,a1)+~E(f16(x2431,x2434),f16(x2432,x2433))+P1(f14(x2432,x2433,x2431))+P1(f13(x2432,x2433,x2431))+~P4(f15(f15(x2432,x2433),x2431),f15(f15(a20,a21),a23))+E(f16(x2431,f12(x2432,x2433,x2431)),x2433)
% 1.06/1.51 [246]~P1(x2464)+~P1(x2461)+~P1(x2463)+~P1(x2462)+E(x2461,a19)+P3(f11(x2462,x2463,x2461),x2461)+E(x2461,a1)+~E(f16(x2462,x2463),f16(x2461,x2464))+P1(f12(x2462,x2463,x2461))+~P4(f15(f15(x2462,x2463),x2461),f15(f15(a20,a21),a23))+E(f16(x2461,f13(x2462,x2463,x2461)),x2462)
% 1.06/1.51 [247]~P1(x2474)+~P1(x2472)+~P1(x2471)+~P1(x2473)+E(x2471,a19)+P3(f11(x2472,x2473,x2471),x2471)+E(x2471,a1)+~E(f16(x2471,x2474),f16(x2472,x2473))+P1(f13(x2472,x2473,x2471))+~P4(f15(f15(x2472,x2473),x2471),f15(f15(a20,a21),a23))+E(f16(x2471,f12(x2472,x2473,x2471)),x2473)
% 1.06/1.51 [248]P3(x2481,x2482)+~P1(x2484)+~P1(x2481)+~P1(x2483)+~P1(x2482)+E(x2481,a19)+E(x2481,a1)+~E(f16(x2482,x2483),f16(x2481,x2484))+P1(f12(x2482,x2483,x2481))+~P4(f15(f15(x2482,x2483),x2481),f15(f15(a20,a21),a23))+E(f16(f11(x2482,x2483,x2481),f14(x2482,x2483,x2481)),x2481)
% 1.06/1.51 [249]P3(x2491,x2493)+~P1(x2494)+~P1(x2492)+~P1(x2493)+~P1(x2491)+E(x2491,a19)+E(x2491,a1)+~E(f16(x2491,x2494),f16(x2492,x2493))+P1(f13(x2492,x2493,x2491))+~P4(f15(f15(x2492,x2493),x2491),f15(f15(a20,a21),a23))+E(f16(f11(x2492,x2493,x2491),f14(x2492,x2493,x2491)),x2491)
% 1.06/1.51 [250]~P1(x2504)+~P1(x2502)+~P1(x2501)+~P1(x2503)+E(x2501,a19)+E(x2501,a1)+~E(f16(x2501,x2504),f16(x2502,x2503))+E(f16(x2501,f12(x2502,x2503,x2501)),x2503)+P1(f11(x2502,x2503,x2501))+~P4(f15(f15(x2502,x2503),x2501),f15(f15(a20,a21),a23))+E(f16(x2501,f13(x2502,x2503,x2501)),x2502)
% 1.06/1.51 [251]~P1(x2514)+~P1(x2512)+~P1(x2511)+~P1(x2513)+E(x2511,a19)+E(x2511,a1)+~E(f16(x2511,x2514),f16(x2512,x2513))+E(f16(x2511,f12(x2512,x2513,x2511)),x2513)+P1(f14(x2512,x2513,x2511))+~P4(f15(f15(x2512,x2513),x2511),f15(f15(a20,a21),a23))+E(f16(x2511,f13(x2512,x2513,x2511)),x2512)
% 1.06/1.51 [257]~P1(x2574)+~P1(x2572)+~P1(x2571)+~P1(x2573)+E(x2571,a19)+P3(f11(x2572,x2573,x2571),x2571)+E(x2571,a1)+~E(f16(x2571,x2574),f16(x2572,x2573))+E(f16(x2571,f12(x2572,x2573,x2571)),x2573)+~P4(f15(f15(x2572,x2573),x2571),f15(f15(a20,a21),a23))+E(f16(x2571,f13(x2572,x2573,x2571)),x2572)
% 1.06/1.51 [258]P3(x2581,x2582)+~P1(x2584)+~P1(x2582)+~P1(x2581)+~P1(x2583)+E(x2581,a19)+E(x2581,a1)+~E(f16(x2581,x2584),f16(x2582,x2583))+E(f16(f11(x2582,x2583,x2581),f14(x2582,x2583,x2581)),x2581)+~P4(f15(f15(x2582,x2583),x2581),f15(f15(a20,a21),a23))+E(f16(x2581,f12(x2582,x2583,x2581)),x2583)
% 1.06/1.51 [259]P3(x2591,x2593)+~P1(x2594)+~P1(x2592)+~P1(x2593)+~P1(x2591)+E(x2591,a19)+E(x2591,a1)+~E(f16(x2591,x2594),f16(x2592,x2593))+E(f16(f11(x2592,x2593,x2591),f14(x2592,x2593,x2591)),x2591)+~P4(f15(f15(x2592,x2593),x2591),f15(f15(a20,a21),a23))+E(f16(x2591,f13(x2592,x2593,x2591)),x2592)
% 1.06/1.51 [269]~P1(x2694)+~P1(x2691)+~P1(x2693)+~P1(x2692)+E(x2691,a19)+E(x2691,a1)+~E(f16(x2692,x2693),f16(x2691,x2694))+P1(f13(x2692,x2693,x2691))+P1(f12(x2692,x2693,x2691))+~P4(f15(f15(x2692,x2693),x2691),f15(f15(a20,a21),a23))+E(f16(f11(x2692,x2693,x2691),f14(x2692,x2693,x2691)),x2691)
% 1.06/1.51 [270]~P1(x2704)+~P1(x2701)+~P1(x2703)+~P1(x2702)+E(x2701,a19)+E(x2701,a1)+~E(f16(x2702,x2703),f16(x2701,x2704))+E(f16(f11(x2702,x2703,x2701),f14(x2702,x2703,x2701)),x2701)+P1(f12(x2702,x2703,x2701))+~P4(f15(f15(x2702,x2703),x2701),f15(f15(a20,a21),a23))+E(f16(x2701,f13(x2702,x2703,x2701)),x2702)
% 1.06/1.51 [271]~P1(x2714)+~P1(x2712)+~P1(x2711)+~P1(x2713)+E(x2711,a19)+E(x2711,a1)+~E(f16(x2711,x2714),f16(x2712,x2713))+E(f16(f11(x2712,x2713,x2711),f14(x2712,x2713,x2711)),x2711)+P1(f13(x2712,x2713,x2711))+~P4(f15(f15(x2712,x2713),x2711),f15(f15(a20,a21),a23))+E(f16(x2711,f12(x2712,x2713,x2711)),x2713)
% 1.06/1.51 [273]~P1(x2734)+~P1(x2732)+~P1(x2731)+~P1(x2733)+E(x2731,a19)+E(x2731,a1)+~E(f16(x2731,x2734),f16(x2732,x2733))+E(f16(x2731,f12(x2732,x2733,x2731)),x2733)+E(f16(f11(x2732,x2733,x2731),f14(x2732,x2733,x2731)),x2731)+~P4(f15(f15(x2732,x2733),x2731),f15(f15(a20,a21),a23))+E(f16(x2731,f13(x2732,x2733,x2731)),x2732)
% 1.06/1.51 %EqnAxiom
% 1.06/1.51 [1]E(x11,x11)
% 1.06/1.51 [2]E(x22,x21)+~E(x21,x22)
% 1.06/1.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.06/1.51 [4]~E(x41,x42)+E(f15(x41,x43),f15(x42,x43))
% 1.06/1.51 [5]~E(x51,x52)+E(f15(x53,x51),f15(x53,x52))
% 1.06/1.51 [6]~E(x61,x62)+E(f16(x61,x63),f16(x62,x63))
% 1.06/1.51 [7]~E(x71,x72)+E(f16(x73,x71),f16(x73,x72))
% 1.06/1.51 [8]~E(x81,x82)+E(f11(x81,x83,x84),f11(x82,x83,x84))
% 1.06/1.51 [9]~E(x91,x92)+E(f11(x93,x91,x94),f11(x93,x92,x94))
% 1.06/1.51 [10]~E(x101,x102)+E(f11(x103,x104,x101),f11(x103,x104,x102))
% 1.06/1.51 [11]~E(x111,x112)+E(f12(x111,x113,x114),f12(x112,x113,x114))
% 1.06/1.51 [12]~E(x121,x122)+E(f12(x123,x121,x124),f12(x123,x122,x124))
% 1.06/1.51 [13]~E(x131,x132)+E(f12(x133,x134,x131),f12(x133,x134,x132))
% 1.06/1.51 [14]~E(x141,x142)+E(f13(x141,x143,x144),f13(x142,x143,x144))
% 1.06/1.51 [15]~E(x151,x152)+E(f13(x153,x151,x154),f13(x153,x152,x154))
% 1.06/1.51 [16]~E(x161,x162)+E(f13(x163,x164,x161),f13(x163,x164,x162))
% 1.06/1.51 [17]~E(x171,x172)+E(f14(x171,x173,x174),f14(x172,x173,x174))
% 1.06/1.51 [18]~E(x181,x182)+E(f14(x183,x181,x184),f14(x183,x182,x184))
% 1.06/1.51 [19]~E(x191,x192)+E(f14(x193,x194,x191),f14(x193,x194,x192))
% 1.06/1.51 [20]~E(x201,x202)+E(f18(x201,x203),f18(x202,x203))
% 1.06/1.51 [21]~E(x211,x212)+E(f18(x213,x211),f18(x213,x212))
% 1.06/1.51 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 1.06/1.51 [23]~E(x231,x232)+E(f17(x231,x233),f17(x232,x233))
% 1.06/1.51 [24]~E(x241,x242)+E(f17(x243,x241),f17(x243,x242))
% 1.06/1.51 [25]~E(x251,x252)+E(f10(x251,x253),f10(x252,x253))
% 1.06/1.51 [26]~E(x261,x262)+E(f10(x263,x261),f10(x263,x262))
% 1.06/1.51 [27]~E(x271,x272)+E(f9(x271,x273),f9(x272,x273))
% 1.06/1.51 [28]~E(x281,x282)+E(f9(x283,x281),f9(x283,x282))
% 1.06/1.51 [29]~E(x291,x292)+E(f8(x291),f8(x292))
% 1.06/1.51 [30]~E(x301,x302)+E(f5(x301),f5(x302))
% 1.06/1.51 [31]~E(x311,x312)+E(f6(x311),f6(x312))
% 1.06/1.51 [32]~P1(x321)+P1(x322)+~E(x321,x322)
% 1.06/1.51 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 1.06/1.51 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 1.06/1.51 [35]P3(x352,x353)+~E(x351,x352)+~P3(x351,x353)
% 1.06/1.51 [36]P3(x363,x362)+~E(x361,x362)+~P3(x363,x361)
% 1.06/1.51 [37]~P2(x371)+P2(x372)+~E(x371,x372)
% 1.06/1.51 [38]P5(x382,x383)+~E(x381,x382)+~P5(x381,x383)
% 1.06/1.51 [39]P5(x393,x392)+~E(x391,x392)+~P5(x393,x391)
% 1.06/1.51
% 1.06/1.51 %-------------------------------------------
% 1.06/1.52 cnf(277,plain,
% 1.06/1.52 (E(a23,f15(a20,a3))),
% 1.06/1.52 inference(scs_inference,[],[50,2])).
% 1.06/1.52 cnf(279,plain,
% 1.06/1.52 (P2(f15(a20,a3))),
% 1.06/1.52 inference(scs_inference,[],[49,52,50,2,39,37])).
% 1.06/1.52 cnf(281,plain,
% 1.06/1.52 (P1(f15(a20,a3))),
% 1.06/1.52 inference(scs_inference,[],[44,49,52,57,50,2,39,37,35,32])).
% 1.06/1.52 cnf(283,plain,
% 1.06/1.52 (P5(a1,a1)),
% 1.06/1.52 inference(scs_inference,[],[40,44,49,52,59,57,50,2,39,37,35,32,3,101])).
% 1.06/1.52 cnf(285,plain,
% 1.06/1.52 (~P3(a1,a23)),
% 1.06/1.52 inference(scs_inference,[],[40,44,49,52,58,59,57,50,2,39,37,35,32,3,101,86])).
% 1.06/1.52 cnf(287,plain,
% 1.06/1.52 (E(a3,f17(a23,a20))),
% 1.06/1.52 inference(scs_inference,[],[40,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134])).
% 1.06/1.52 cnf(289,plain,
% 1.06/1.52 (P5(a19,a19)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134,79])).
% 1.06/1.52 cnf(297,plain,
% 1.06/1.52 (E(f15(a1,a1),a1)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75])).
% 1.06/1.52 cnf(301,plain,
% 1.06/1.52 (E(f15(a1,a19),a19)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73])).
% 1.06/1.52 cnf(303,plain,
% 1.06/1.52 (E(f16(a1,a1),a1)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72])).
% 1.06/1.52 cnf(315,plain,
% 1.06/1.52 (E(f17(f15(a20,a3),x3151),f17(a23,x3151))),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23])).
% 1.06/1.52 cnf(341,plain,
% 1.06/1.52 (~E(a23,a1)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69])).
% 1.06/1.52 cnf(343,plain,
% 1.06/1.52 (P1(f16(a1,a1))),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104])).
% 1.06/1.52 cnf(345,plain,
% 1.06/1.52 (P1(f15(a1,a1))),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103])).
% 1.06/1.52 cnf(355,plain,
% 1.06/1.52 (~E(f15(a1,a23),a1)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103,88,113,102,93,92])).
% 1.06/1.52 cnf(359,plain,
% 1.06/1.52 (P2(f5(a23))),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,60,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103,88,113,102,93,92,121,78])).
% 1.06/1.52 cnf(361,plain,
% 1.06/1.52 (P1(f5(a23))),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,60,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103,88,113,102,93,92,121,78,77])).
% 1.06/1.52 cnf(373,plain,
% 1.06/1.52 (P4(a20,a23)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,44,47,49,52,58,59,60,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103,88,113,102,93,92,121,78,77,141,140,131,150,149,112])).
% 1.06/1.52 cnf(419,plain,
% 1.06/1.52 (E(f5(a23),a23)+~P4(f15(a20,a3),f15(a20,a3))+E(f5(a23),a19)),
% 1.06/1.52 inference(scs_inference,[],[40,41,42,43,44,47,49,52,53,58,59,60,67,57,50,2,39,37,35,32,3,101,86,134,79,85,84,76,75,74,73,72,71,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,38,36,89,70,69,104,103,88,113,102,93,92,121,78,77,141,140,131,150,149,112,116,115,119,96,95,125,124,128,127,126,144,143,146,145,34,33,81,122,87,130,118,111,90,106])).
% 1.06/1.52 cnf(421,plain,
% 1.06/1.52 (~P3(a23,a22)),
% 1.06/1.52 inference(scs_inference,[],[49,44,89])).
% 1.06/1.52 cnf(427,plain,
% 1.06/1.52 (P5(a19,a23)),
% 1.06/1.52 inference(scs_inference,[],[45,68,43,60,49,44,341,89,104,88,81])).
% 1.06/1.52 cnf(433,plain,
% 1.06/1.52 (P1(f9(a1,a1))),
% 1.06/1.52 inference(scs_inference,[],[40,45,68,43,60,49,44,283,341,89,104,88,81,102,93,121])).
% 1.06/1.52 cnf(435,plain,
% 1.06/1.52 (P3(f5(a23),a23)),
% 1.06/1.52 inference(scs_inference,[],[40,45,68,43,60,49,44,283,341,89,104,88,81,102,93,121,87])).
% 1.06/1.52 cnf(441,plain,
% 1.06/1.52 (E(f15(a1,f9(a1,a1)),a1)),
% 1.06/1.52 inference(scs_inference,[],[40,45,68,43,60,49,44,283,341,89,104,88,81,102,93,121,87,141,140,131])).
% 1.06/1.52 cnf(460,plain,
% 1.06/1.52 (P1(f15(a22,a22))),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,359,361,277,287,341,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103])).
% 1.06/1.52 cnf(462,plain,
% 1.06/1.52 (P5(a23,f16(a23,a23))),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,359,361,277,287,341,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103,113])).
% 1.06/1.52 cnf(472,plain,
% 1.06/1.52 (~E(a22,a1)),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,64,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,359,361,277,287,341,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103,113,122,150,144,143,2])).
% 1.06/1.52 cnf(481,plain,
% 1.06/1.52 (~E(f15(a22,a22),a1)),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,64,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,279,359,361,277,287,341,373,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103,113,122,150,144,143,2,38,34,37,419,133,86,92])).
% 1.06/1.52 cnf(483,plain,
% 1.06/1.52 (P2(f5(a22))),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,64,66,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,279,359,361,277,287,341,373,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103,113,122,150,144,143,2,38,34,37,419,133,86,92,78])).
% 1.06/1.52 cnf(486,plain,
% 1.06/1.52 (P1(f5(a22))),
% 1.06/1.52 inference(scs_inference,[],[40,45,61,64,66,51,68,47,53,43,60,49,52,42,44,283,343,297,303,315,285,279,359,361,277,287,341,373,89,104,88,81,102,93,121,87,141,140,131,130,149,112,128,69,36,35,32,3,70,103,113,122,150,144,143,2,38,34,37,419,133,86,92,78,39,77])).
% 1.06/1.52 cnf(541,plain,
% 1.06/1.52 (P5(a1,a19)),
% 1.06/1.52 inference(scs_inference,[],[41,55,57,66,51,68,277,49,45,44,345,460,289,435,433,483,486,462,481,441,301,355,421,472,281,297,283,341,361,40,111,127,126,102,93,121,92,149,128,88,131,141,140,69,36,35,3,113,150,39,38,2,37,83,142,116])).
% 1.06/1.52 cnf(545,plain,
% 1.06/1.52 (P3(f5(a22),a22)),
% 1.06/1.52 inference(scs_inference,[],[41,55,57,66,51,68,277,49,45,44,345,460,289,435,433,483,486,462,481,441,301,355,421,472,281,297,283,341,361,40,111,127,126,102,93,121,92,149,128,88,131,141,140,69,36,35,3,113,150,39,38,2,37,83,142,116,81,87])).
% 1.06/1.52 cnf(552,plain,
% 1.06/1.52 (E(f16(f5(a22),f10(f5(a22),a22)),a22)),
% 1.06/1.52 inference(scs_inference,[],[41,55,57,66,51,68,277,60,49,45,44,345,460,289,435,427,433,483,486,462,481,441,301,355,421,472,281,315,297,283,341,361,40,111,127,126,102,93,121,92,149,128,88,131,141,140,69,36,35,3,113,150,39,38,2,37,83,142,116,81,87,119,118,89,130])).
% 1.06/1.52 cnf(554,plain,
% 1.06/1.52 (P1(f10(f5(a22),a22))),
% 1.06/1.52 inference(scs_inference,[],[41,55,57,66,51,68,277,60,49,45,44,345,460,289,435,427,433,483,486,462,481,441,301,355,421,472,281,315,297,283,341,361,40,111,127,126,102,93,121,92,149,128,88,131,141,140,69,36,35,3,113,150,39,38,2,37,83,142,116,81,87,119,118,89,130,122])).
% 1.06/1.52 cnf(578,plain,
% 1.06/1.52 ($false),
% 1.06/1.52 inference(scs_inference,[],[41,59,58,45,554,552,545,541,483,486,472,40,95,112,111,102]),
% 1.06/1.52 ['proof']).
% 1.06/1.52 % SZS output end Proof
% 1.06/1.52 % Total time :0.370000s
%------------------------------------------------------------------------------