TSTP Solution File: NUM519+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM519+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:22:49 EDT 2023
% Result : Theorem 1.06s 1.12s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM519+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 11:47:50 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.60 start to proof:theBenchmark
% 0.97/1.10 %-------------------------------------------
% 0.97/1.10 % File :CSE---1.6
% 0.97/1.10 % Problem :theBenchmark
% 0.97/1.10 % Transform :cnf
% 0.97/1.10 % Format :tptp:raw
% 0.97/1.10 % Command :java -jar mcs_scs.jar %d %s
% 0.97/1.10
% 0.97/1.10 % Result :Theorem 0.020000s
% 0.97/1.10 % Output :CNFRefutation 0.020000s
% 0.97/1.10 %-------------------------------------------
% 0.97/1.10 %------------------------------------------------------------------------------
% 0.97/1.10 % File : NUM519+3 : TPTP v8.1.2. Released v4.0.0.
% 0.97/1.10 % Domain : Number Theory
% 0.97/1.10 % Problem : Square root of a prime is irrational 14_03_03_07, 02 expansion
% 0.97/1.10 % Version : Especial.
% 0.97/1.10 % English :
% 0.97/1.10
% 0.97/1.10 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 0.97/1.10 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.97/1.10 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.97/1.10 % Source : [Pas08]
% 0.97/1.10 % Names : primes_14_03_03_07.02 [Pas08]
% 0.97/1.10
% 0.97/1.10 % Status : ContradictoryAxioms
% 0.97/1.10 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.09 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.11 v5.3.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.52 v4.0.0
% 0.97/1.10 % Syntax : Number of formulae : 54 ( 1 unt; 5 def)
% 0.97/1.10 % Number of atoms : 281 ( 98 equ)
% 0.97/1.10 % Maximal formula atoms : 22 ( 5 avg)
% 0.97/1.10 % Number of connectives : 263 ( 36 ~; 24 |; 133 &)
% 0.97/1.10 % ( 5 <=>; 65 =>; 0 <=; 0 <~>)
% 0.97/1.10 % Maximal formula depth : 16 ( 6 avg)
% 0.97/1.10 % Maximal term depth : 3 ( 1 avg)
% 0.97/1.10 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.97/1.10 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 0.97/1.10 % Number of variables : 109 ( 85 !; 24 ?)
% 0.97/1.10 % SPC : FOF_CAX_RFO_SEQ
% 0.97/1.10
% 0.97/1.10 % Comments : Problem generated by the SAD system [VLP07]
% 0.97/1.10 %------------------------------------------------------------------------------
% 0.97/1.10 fof(mNatSort,axiom,
% 0.97/1.10 ! [W0] :
% 0.97/1.10 ( aNaturalNumber0(W0)
% 0.97/1.10 => $true ) ).
% 0.97/1.10
% 0.97/1.10 fof(mSortsC,axiom,
% 0.97/1.10 aNaturalNumber0(sz00) ).
% 0.97/1.10
% 0.97/1.10 fof(mSortsC_01,axiom,
% 0.97/1.10 ( aNaturalNumber0(sz10)
% 0.97/1.10 & sz10 != sz00 ) ).
% 0.97/1.10
% 0.97/1.10 fof(mSortsB,axiom,
% 0.97/1.10 ! [W0,W1] :
% 0.97/1.10 ( ( aNaturalNumber0(W0)
% 0.97/1.10 & aNaturalNumber0(W1) )
% 0.97/1.10 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 0.97/1.10
% 0.97/1.10 fof(mSortsB_02,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mAddComm,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mAddAsso,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.97/1.11
% 0.97/1.11 fof(m_AddZero,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => ( sdtpldt0(W0,sz00) = W0
% 0.97/1.11 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMulComm,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMulAsso,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.97/1.11
% 0.97/1.11 fof(m_MulUnit,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => ( sdtasdt0(W0,sz10) = W0
% 0.97/1.11 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(m_MulZero,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => ( sdtasdt0(W0,sz00) = sz00
% 0.97/1.11 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mAMDistr,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.97/1.11 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mAddCanc,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 0.97/1.11 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 0.97/1.11 => W1 = W2 ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMulCanc,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => ( W0 != sz00
% 0.97/1.11 => ! [W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 0.97/1.11 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 0.97/1.11 => W1 = W2 ) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mZeroAdd,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( sdtpldt0(W0,W1) = sz00
% 0.97/1.11 => ( W0 = sz00
% 0.97/1.11 & W1 = sz00 ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mZeroMul,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( sdtasdt0(W0,W1) = sz00
% 0.97/1.11 => ( W0 = sz00
% 0.97/1.11 | W1 = sz00 ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mDefLE,definition,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( sdtlseqdt0(W0,W1)
% 0.97/1.11 <=> ? [W2] :
% 0.97/1.11 ( aNaturalNumber0(W2)
% 0.97/1.11 & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mDefDiff,definition,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( sdtlseqdt0(W0,W1)
% 0.97/1.11 => ! [W2] :
% 0.97/1.11 ( W2 = sdtmndt0(W1,W0)
% 0.97/1.11 <=> ( aNaturalNumber0(W2)
% 0.97/1.11 & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mLERefl,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => sdtlseqdt0(W0,W0) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mLEAsym,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( ( sdtlseqdt0(W0,W1)
% 0.97/1.11 & sdtlseqdt0(W1,W0) )
% 0.97/1.11 => W0 = W1 ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mLETran,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => ( ( sdtlseqdt0(W0,W1)
% 0.97/1.11 & sdtlseqdt0(W1,W2) )
% 0.97/1.11 => sdtlseqdt0(W0,W2) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mLETotal,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( sdtlseqdt0(W0,W1)
% 0.97/1.11 | ( W1 != W0
% 0.97/1.11 & sdtlseqdt0(W1,W0) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMonAdd,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( ( W0 != W1
% 0.97/1.11 & sdtlseqdt0(W0,W1) )
% 0.97/1.11 => ! [W2] :
% 0.97/1.11 ( aNaturalNumber0(W2)
% 0.97/1.11 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
% 0.97/1.11 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
% 0.97/1.11 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
% 0.97/1.11 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMonMul,axiom,
% 0.97/1.11 ! [W0,W1,W2] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1)
% 0.97/1.11 & aNaturalNumber0(W2) )
% 0.97/1.11 => ( ( W0 != sz00
% 0.97/1.11 & W1 != W2
% 0.97/1.11 & sdtlseqdt0(W1,W2) )
% 0.97/1.11 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)
% 0.97/1.11 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.97/1.11 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0)
% 0.97/1.11 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mLENTr,axiom,
% 0.97/1.11 ! [W0] :
% 0.97/1.11 ( aNaturalNumber0(W0)
% 0.97/1.11 => ( W0 = sz00
% 0.97/1.11 | W0 = sz10
% 0.97/1.11 | ( sz10 != W0
% 0.97/1.11 & sdtlseqdt0(sz10,W0) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mMonMul2,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( W0 != sz00
% 0.97/1.11 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mIH,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( iLess0(W0,W1)
% 0.97/1.11 => $true ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mIH_03,axiom,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( ( W0 != W1
% 0.97/1.11 & sdtlseqdt0(W0,W1) )
% 0.97/1.11 => iLess0(W0,W1) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mDefDiv,definition,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( doDivides0(W0,W1)
% 0.97/1.11 <=> ? [W2] :
% 0.97/1.11 ( aNaturalNumber0(W2)
% 0.97/1.11 & W1 = sdtasdt0(W0,W2) ) ) ) ).
% 0.97/1.11
% 0.97/1.11 fof(mDefQuot,definition,
% 0.97/1.11 ! [W0,W1] :
% 0.97/1.11 ( ( aNaturalNumber0(W0)
% 0.97/1.11 & aNaturalNumber0(W1) )
% 0.97/1.11 => ( ( W0 != sz00
% 0.97/1.11 & doDivides0(W0,W1) )
% 0.97/1.11 => ! [W2] :
% 0.97/1.11 ( W2 = sdtsldt0(W1,W0)
% 0.97/1.12 <=> ( aNaturalNumber0(W2)
% 0.97/1.12 & W1 = sdtasdt0(W0,W2) ) ) ) ) ).
% 0.97/1.12
% 0.97/1.12 fof(mDivTrans,axiom,
% 0.97/1.12 ! [W0,W1,W2] :
% 0.97/1.12 ( ( aNaturalNumber0(W0)
% 0.97/1.12 & aNaturalNumber0(W1)
% 0.97/1.12 & aNaturalNumber0(W2) )
% 0.97/1.12 => ( ( doDivides0(W0,W1)
% 0.97/1.12 & doDivides0(W1,W2) )
% 0.97/1.12 => doDivides0(W0,W2) ) ) ).
% 0.97/1.12
% 0.97/1.12 fof(mDivSum,axiom,
% 0.97/1.12 ! [W0,W1,W2] :
% 0.97/1.12 ( ( aNaturalNumber0(W0)
% 0.97/1.12 & aNaturalNumber0(W1)
% 0.97/1.12 & aNaturalNumber0(W2) )
% 0.97/1.12 => ( ( doDivides0(W0,W1)
% 0.97/1.12 & doDivides0(W0,W2) )
% 0.97/1.12 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ).
% 0.97/1.12
% 0.97/1.12 fof(mDivMin,axiom,
% 0.97/1.12 ! [W0,W1,W2] :
% 0.97/1.12 ( ( aNaturalNumber0(W0)
% 0.97/1.12 & aNaturalNumber0(W1)
% 0.97/1.12 & aNaturalNumber0(W2) )
% 0.97/1.12 => ( ( doDivides0(W0,W1)
% 0.97/1.12 & doDivides0(W0,sdtpldt0(W1,W2)) )
% 0.97/1.12 => doDivides0(W0,W2) ) ) ).
% 0.97/1.12
% 0.97/1.12 fof(mDivLE,axiom,
% 0.97/1.12 ! [W0,W1] :
% 0.97/1.12 ( ( aNaturalNumber0(W0)
% 0.97/1.12 & aNaturalNumber0(W1) )
% 0.97/1.12 => ( ( doDivides0(W0,W1)
% 0.97/1.12 & W1 != sz00 )
% 0.97/1.12 => sdtlseqdt0(W0,W1) ) ) ).
% 0.97/1.12
% 0.97/1.12 fof(mDivAsso,axiom,
% 0.97/1.12 ! [W0,W1] :
% 0.97/1.12 ( ( aNaturalNumber0(W0)
% 0.97/1.12 & aNaturalNumber0(W1) )
% 0.97/1.12 => ( ( W0 != sz00
% 0.97/1.12 & doDivides0(W0,W1) )
% 1.06/1.12 => ! [W2] :
% 1.06/1.12 ( aNaturalNumber0(W2)
% 1.06/1.12 => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ) ).
% 1.06/1.12
% 1.06/1.12 fof(mDefPrime,definition,
% 1.06/1.12 ! [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 => ( isPrime0(W0)
% 1.06/1.12 <=> ( W0 != sz00
% 1.06/1.12 & W0 != sz10
% 1.06/1.12 & ! [W1] :
% 1.06/1.12 ( ( aNaturalNumber0(W1)
% 1.06/1.12 & doDivides0(W1,W0) )
% 1.06/1.12 => ( W1 = sz10
% 1.06/1.12 | W1 = W0 ) ) ) ) ) ).
% 1.06/1.12
% 1.06/1.12 fof(mPrimDiv,axiom,
% 1.06/1.12 ! [W0] :
% 1.06/1.12 ( ( aNaturalNumber0(W0)
% 1.06/1.12 & W0 != sz00
% 1.06/1.12 & W0 != sz10 )
% 1.06/1.12 => ? [W1] :
% 1.06/1.12 ( aNaturalNumber0(W1)
% 1.06/1.12 & doDivides0(W1,W0)
% 1.06/1.12 & isPrime0(W1) ) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__1837,hypothesis,
% 1.06/1.12 ( aNaturalNumber0(xn)
% 1.06/1.12 & aNaturalNumber0(xm)
% 1.06/1.12 & aNaturalNumber0(xp) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__1799,hypothesis,
% 1.06/1.12 ! [W0,W1,W2] :
% 1.06/1.12 ( ( aNaturalNumber0(W0)
% 1.06/1.12 & aNaturalNumber0(W1)
% 1.06/1.12 & aNaturalNumber0(W2) )
% 1.06/1.12 => ( ( ( ( W2 != sz00
% 1.06/1.12 & W2 != sz10
% 1.06/1.12 & ! [W3] :
% 1.06/1.12 ( ( aNaturalNumber0(W3)
% 1.06/1.12 & ? [W4] :
% 1.06/1.12 ( aNaturalNumber0(W4)
% 1.06/1.12 & W2 = sdtasdt0(W3,W4) )
% 1.06/1.12 & doDivides0(W3,W2) )
% 1.06/1.12 => ( W3 = sz10
% 1.06/1.12 | W3 = W2 ) ) )
% 1.06/1.12 | isPrime0(W2) )
% 1.06/1.12 & ( ? [W3] :
% 1.06/1.12 ( aNaturalNumber0(W3)
% 1.06/1.12 & sdtasdt0(W0,W1) = sdtasdt0(W2,W3) )
% 1.06/1.12 | doDivides0(W2,sdtasdt0(W0,W1)) ) )
% 1.06/1.12 => ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
% 1.06/1.12 => ( ( ? [W3] :
% 1.06/1.12 ( aNaturalNumber0(W3)
% 1.06/1.12 & W0 = sdtasdt0(W2,W3) )
% 1.06/1.12 & doDivides0(W2,W0) )
% 1.06/1.12 | ( ? [W3] :
% 1.06/1.12 ( aNaturalNumber0(W3)
% 1.06/1.12 & W1 = sdtasdt0(W2,W3) )
% 1.06/1.12 & doDivides0(W2,W1) ) ) ) ) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__1860,hypothesis,
% 1.06/1.12 ( xp != sz00
% 1.06/1.12 & xp != sz10
% 1.06/1.12 & ! [W0] :
% 1.06/1.12 ( ( aNaturalNumber0(W0)
% 1.06/1.12 & ( ? [W1] :
% 1.06/1.12 ( aNaturalNumber0(W1)
% 1.06/1.12 & xp = sdtasdt0(W0,W1) )
% 1.06/1.12 | doDivides0(W0,xp) ) )
% 1.06/1.12 => ( W0 = sz10
% 1.06/1.12 | W0 = xp ) )
% 1.06/1.12 & isPrime0(xp)
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
% 1.06/1.12 & doDivides0(xp,sdtasdt0(xn,xm)) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__1870,hypothesis,
% 1.06/1.12 ~ ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xp,W0) = xn )
% 1.06/1.12 | sdtlseqdt0(xp,xn) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2075,hypothesis,
% 1.06/1.12 ~ ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xp,W0) = xm )
% 1.06/1.12 | sdtlseqdt0(xp,xm) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2287,hypothesis,
% 1.06/1.12 ( xn != xp
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xn,W0) = xp )
% 1.06/1.12 & sdtlseqdt0(xn,xp)
% 1.06/1.12 & xm != xp
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xm,W0) = xp )
% 1.06/1.12 & sdtlseqdt0(xm,xp) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2306,hypothesis,
% 1.06/1.12 ( aNaturalNumber0(xk)
% 1.06/1.12 & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
% 1.06/1.12 & xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2315,hypothesis,
% 1.06/1.12 ~ ( xk = sz00
% 1.06/1.12 | xk = sz10 ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2327,hypothesis,
% 1.06/1.12 ( xk != sz00
% 1.06/1.12 & xk != sz10 ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2342,hypothesis,
% 1.06/1.12 ( aNaturalNumber0(xr)
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xk = sdtasdt0(xr,W0) )
% 1.06/1.12 & doDivides0(xr,xk)
% 1.06/1.12 & xr != sz00
% 1.06/1.12 & xr != sz10
% 1.06/1.12 & ! [W0] :
% 1.06/1.12 ( ( aNaturalNumber0(W0)
% 1.06/1.12 & ( ? [W1] :
% 1.06/1.12 ( aNaturalNumber0(W1)
% 1.06/1.12 & xr = sdtasdt0(W0,W1) )
% 1.06/1.12 | doDivides0(W0,xr) ) )
% 1.06/1.12 => ( W0 = sz10
% 1.06/1.12 | W0 = xr ) )
% 1.06/1.12 & isPrime0(xr) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2362,hypothesis,
% 1.06/1.12 ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xr,W0) = xk )
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtasdt0(xn,xm) = sdtasdt0(xr,W0) )
% 1.06/1.12 & doDivides0(xr,sdtasdt0(xn,xm)) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2377,hypothesis,
% 1.06/1.12 ( xk != xp
% 1.06/1.12 & ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & sdtpldt0(xk,W0) = xp )
% 1.06/1.12 & sdtlseqdt0(xk,xp) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2449,hypothesis,
% 1.06/1.12 ( ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xn = sdtasdt0(xr,W0) )
% 1.06/1.12 & doDivides0(xr,xn) )
% 1.06/1.12 | ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xm = sdtasdt0(xr,W0) )
% 1.06/1.12 & doDivides0(xr,xm) ) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2487,hypothesis,
% 1.06/1.12 ~ ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xn = sdtasdt0(xr,W0) )
% 1.06/1.12 | doDivides0(xr,xn) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__2698,hypothesis,
% 1.06/1.12 ~ ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xm = sdtasdt0(xr,W0) )
% 1.06/1.12 | doDivides0(xr,xm) ) ).
% 1.06/1.12
% 1.06/1.12 fof(m__,conjecture,
% 1.06/1.12 ( ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xn = sdtasdt0(xp,W0) )
% 1.06/1.12 | doDivides0(xp,xn)
% 1.06/1.12 | ? [W0] :
% 1.06/1.12 ( aNaturalNumber0(W0)
% 1.06/1.12 & xm = sdtasdt0(xp,W0) )
% 1.06/1.12 | doDivides0(xp,xm) ) ).
% 1.06/1.12
% 1.06/1.12 %------------------------------------------------------------------------------
% 1.06/1.12 %-------------------------------------------
% 1.06/1.12 % Proof found
% 1.06/1.12 % SZS status Theorem for theBenchmark
% 1.06/1.12 % SZS output start Proof
% 1.06/1.12 %ClaNum:295(EqnAxiom:37)
% 1.06/1.12 %VarNum:3224(SingletonVarNum:581)
% 1.06/1.12 %MaxLitNum:11
% 1.06/1.12 %MaxfuncDepth:2
% 1.06/1.12 %SharedTerms:83
% 1.06/1.12 %goalClause: 83 84 111 113
% 1.06/1.12 %singleGoalClaCount:2
% 1.06/1.12 [38]P1(a1)
% 1.06/1.12 [39]P1(a23)
% 1.06/1.12 [40]P1(a24)
% 1.06/1.12 [41]P1(a25)
% 1.06/1.12 [42]P1(a27)
% 1.06/1.12 [43]P1(a26)
% 1.06/1.12 [44]P1(a28)
% 1.06/1.12 [45]P1(a2)
% 1.06/1.12 [46]P1(a3)
% 1.06/1.12 [47]P1(a4)
% 1.06/1.12 [48]P1(a5)
% 1.06/1.12 [49]P1(a6)
% 1.06/1.12 [50]P1(a7)
% 1.06/1.12 [51]P1(a8)
% 1.06/1.12 [52]P2(a27)
% 1.06/1.12 [53]P2(a28)
% 1.06/1.12 [59]P5(a24,a27)
% 1.06/1.12 [60]P5(a25,a27)
% 1.06/1.12 [61]P5(a26,a27)
% 1.06/1.12 [62]P3(a28,a26)
% 1.06/1.12 [69]~E(a1,a23)
% 1.06/1.12 [70]~E(a1,a27)
% 1.06/1.12 [71]~E(a27,a23)
% 1.06/1.12 [72]~E(a27,a24)
% 1.06/1.12 [73]~E(a27,a25)
% 1.06/1.12 [75]~E(a1,a26)
% 1.06/1.12 [77]~E(a26,a23)
% 1.06/1.12 [78]~E(a26,a27)
% 1.06/1.12 [79]~E(a1,a28)
% 1.06/1.12 [80]~E(a28,a23)
% 1.06/1.12 [81]~P5(a27,a24)
% 1.06/1.12 [82]~P5(a27,a25)
% 1.06/1.12 [83]~P3(a27,a24)
% 1.06/1.12 [84]~P3(a27,a25)
% 1.06/1.12 [85]~P3(a28,a24)
% 1.06/1.12 [86]~P3(a28,a25)
% 1.06/1.12 [54]E(f19(a28,a5),a26)
% 1.06/1.12 [55]E(f20(a24,a3),a27)
% 1.06/1.12 [56]E(f20(a25,a4),a27)
% 1.06/1.12 [57]E(f20(a26,a8),a27)
% 1.06/1.12 [58]E(f20(a28,a6),a26)
% 1.06/1.12 [63]E(f19(a27,a26),f19(a24,a25))
% 1.06/1.12 [64]E(f19(a27,a2),f19(a24,a25))
% 1.06/1.12 [65]E(f19(a28,a7),f19(a24,a25))
% 1.06/1.12 [67]P3(a27,f19(a24,a25))
% 1.06/1.12 [68]P3(a28,f19(a24,a25))
% 1.06/1.12 [66]E(f22(f19(a24,a25),a27),a26)
% 1.06/1.12 [87]P1(a9)+P1(a10)
% 1.06/1.12 [90]P1(a9)+P3(a28,a25)
% 1.06/1.12 [91]P1(a10)+P3(a28,a24)
% 1.06/1.12 [107]P3(a28,a24)+P3(a28,a25)
% 1.06/1.12 [88]P1(a10)+E(f19(a28,a9),a24)
% 1.06/1.12 [89]P1(a9)+E(f19(a28,a10),a25)
% 1.06/1.12 [104]E(f19(a28,a9),a24)+E(f19(a28,a10),a25)
% 1.06/1.12 [105]P3(a28,a25)+E(f19(a28,a9),a24)
% 1.06/1.12 [106]P3(a28,a24)+E(f19(a28,a10),a25)
% 1.06/1.12 [102]~P1(x1021)+P5(x1021,x1021)
% 1.06/1.12 [94]~P1(x941)+E(f19(a1,x941),a1)
% 1.06/1.12 [95]~P1(x951)+E(f19(x951,a1),a1)
% 1.06/1.12 [96]~P1(x961)+E(f20(a1,x961),x961)
% 1.06/1.12 [97]~P1(x971)+E(f19(a23,x971),x971)
% 1.06/1.12 [98]~P1(x981)+E(f20(x981,a1),x981)
% 1.06/1.12 [99]~P1(x991)+E(f19(x991,a23),x991)
% 1.06/1.12 [111]~P1(x1111)+~E(f19(a27,x1111),a24)
% 1.06/1.12 [112]~P1(x1121)+~E(f19(a28,x1121),a24)
% 1.06/1.12 [113]~P1(x1131)+~E(f19(a27,x1131),a25)
% 1.06/1.12 [114]~P1(x1141)+~E(f19(a28,x1141),a25)
% 1.06/1.12 [115]~P1(x1151)+~E(f20(a27,x1151),a24)
% 1.06/1.12 [116]~P1(x1161)+~E(f20(a27,x1161),a25)
% 1.06/1.12 [92]~P1(x921)+~P2(x921)+~E(x921,a1)
% 1.06/1.12 [93]~P1(x931)+~P2(x931)+~E(x931,a23)
% 1.06/1.12 [127]~P1(x1272)+~P1(x1271)+E(f20(x1271,x1272),f20(x1272,x1271))
% 1.06/1.12 [128]~P1(x1282)+~P1(x1281)+E(f19(x1281,x1282),f19(x1282,x1281))
% 1.06/1.12 [130]~P1(x1302)+~P1(x1301)+P1(f20(x1301,x1302))
% 1.06/1.12 [131]~P1(x1312)+~P1(x1311)+P1(f19(x1311,x1312))
% 1.06/1.12 [108]~P1(x1081)+E(x1081,a23)+P5(a23,x1081)+E(x1081,a1)
% 1.06/1.12 [117]~P1(x1171)+E(x1171,a27)+~P3(x1171,a27)+E(x1171,a23)
% 1.06/1.12 [118]~P1(x1181)+E(x1181,a28)+~P3(x1181,a28)+E(x1181,a23)
% 1.06/1.12 [100]~P1(x1001)+E(x1001,a23)+E(x1001,a1)+P1(f11(x1001))
% 1.06/1.12 [101]~P1(x1011)+E(x1011,a23)+E(x1011,a1)+P2(f11(x1011))
% 1.06/1.12 [119]~P1(x1191)+E(x1191,a23)+P3(f11(x1191),x1191)+E(x1191,a1)
% 1.06/1.12 [120]~E(x1202,x1201)+~P1(x1201)+~P1(x1202)+P5(x1201,x1202)
% 1.06/1.12 [129]P5(x1292,x1291)+~P1(x1291)+~P1(x1292)+P5(x1291,x1292)
% 1.06/1.12 [122]~P1(x1222)+~P1(x1221)+E(x1221,a1)+~E(f20(x1222,x1221),a1)
% 1.06/1.12 [123]~P1(x1232)+~P1(x1231)+E(x1231,a1)+~E(f20(x1231,x1232),a1)
% 1.06/1.12 [135]~P1(x1352)+~P1(x1351)+P5(x1352,f19(x1352,x1351))+E(x1351,a1)
% 1.06/1.12 [141]~P1(x1412)+~P1(x1411)+~P5(x1411,x1412)+P1(f13(x1411,x1412))
% 1.06/1.12 [142]~P1(x1422)+~P1(x1421)+~P3(x1421,x1422)+P1(f14(x1421,x1422))
% 1.06/1.12 [149]~P1(x1491)+~P1(x1492)+~P3(x1491,x1492)+E(f19(x1491,f14(x1491,x1492)),x1492)
% 1.06/1.12 [150]~P1(x1502)+~P1(x1501)+~P5(x1501,x1502)+E(f20(x1501,f13(x1501,x1502)),x1502)
% 1.06/1.12 [159]~P1(x1593)+~P1(x1592)+~P1(x1591)+E(f20(f20(x1591,x1592),x1593),f20(x1591,f20(x1592,x1593)))
% 1.06/1.13 [160]~P1(x1603)+~P1(x1602)+~P1(x1601)+E(f19(f19(x1601,x1602),x1603),f19(x1601,f19(x1602,x1603)))
% 1.06/1.13 [168]~P1(x1683)+~P1(x1682)+~P1(x1681)+E(f20(f19(x1681,x1682),f19(x1681,x1683)),f19(x1681,f20(x1682,x1683)))
% 1.06/1.13 [169]~P1(x1692)+~P1(x1693)+~P1(x1691)+E(f20(f19(x1691,x1692),f19(x1693,x1692)),f19(f20(x1691,x1693),x1692))
% 1.06/1.13 [103]P2(x1031)+~P1(x1031)+E(x1031,a23)+E(x1031,a1)+~E(f12(x1031),a23)
% 1.06/1.13 [109]P2(x1091)+~P1(x1091)+E(x1091,a23)+~E(f12(x1091),x1091)+E(x1091,a1)
% 1.06/1.13 [110]P2(x1101)+~P1(x1101)+E(x1101,a23)+E(x1101,a1)+P1(f12(x1101))
% 1.06/1.13 [121]P2(x1211)+~P1(x1211)+E(x1211,a23)+P3(f12(x1211),x1211)+E(x1211,a1)
% 1.06/1.13 [133]~P1(x1331)+~P1(x1332)+~P3(x1332,x1331)+P5(x1332,x1331)+E(x1331,a1)
% 1.06/1.13 [134]P4(x1341,x1342)+~P1(x1342)+~P1(x1341)+~P5(x1341,x1342)+E(x1341,x1342)
% 1.06/1.13 [138]~P1(x1382)+~P1(x1381)+~P5(x1382,x1381)+~P5(x1381,x1382)+E(x1381,x1382)
% 1.06/1.13 [124]~P1(x1241)+~P1(x1242)+E(x1241,a27)+E(x1241,a23)+~E(f19(x1241,x1242),a27)
% 1.06/1.13 [125]~P1(x1251)+~P1(x1252)+E(x1251,a28)+E(x1251,a23)+~E(f19(x1251,x1252),a28)
% 1.06/1.13 [126]~P1(x1261)+~P1(x1262)+E(x1261,a1)+E(x1262,a1)+~E(f19(x1262,x1261),a1)
% 1.06/1.13 [136]~P1(x1361)+~P1(x1362)+~P1(x1363)+P3(x1361,x1362)+~E(x1362,f19(x1361,x1363))
% 1.06/1.13 [137]~P1(x1372)+~P1(x1371)+~P1(x1373)+P5(x1371,x1372)+~E(f20(x1371,x1373),x1372)
% 1.06/1.13 [139]~P1(x1393)+~P1(x1392)+~P5(x1393,x1392)+P1(x1391)+~E(x1391,f21(x1392,x1393))
% 1.06/1.13 [143]~P1(x1432)+~P1(x1431)+~P1(x1433)+E(x1431,x1432)+~E(f20(x1433,x1431),f20(x1433,x1432))
% 1.06/1.13 [144]~P1(x1442)+~P1(x1443)+~P1(x1441)+E(x1441,x1442)+~E(f20(x1441,x1443),f20(x1442,x1443))
% 1.06/1.13 [147]~P1(x1473)+~P1(x1471)+~P5(x1471,x1473)+~E(x1472,f21(x1473,x1471))+E(f20(x1471,x1472),x1473)
% 1.06/1.13 [132]~P1(x1322)+~P1(x1321)+~P2(x1322)+~P3(x1321,x1322)+E(x1321,x1322)+E(x1321,a23)
% 1.06/1.13 [151]~P1(x1512)+~P1(x1511)+~P5(x1513,x1512)+~P5(x1511,x1513)+P5(x1511,x1512)+~P1(x1513)
% 1.06/1.13 [152]~P1(x1522)+~P1(x1521)+~P3(x1523,x1522)+~P3(x1521,x1523)+P3(x1521,x1522)+~P1(x1523)
% 1.06/1.13 [140]~P1(x1401)+~P1(x1403)+~P3(x1401,x1403)+P1(x1402)+E(x1401,a1)+~E(x1402,f22(x1403,x1401))
% 1.06/1.13 [145]~P1(x1452)+~P1(x1451)+~P1(x1453)+E(x1451,x1452)+~E(f19(x1453,x1451),f19(x1453,x1452))+E(x1453,a1)
% 1.06/1.13 [146]~P1(x1462)+~P1(x1463)+~P1(x1461)+E(x1461,x1462)+~E(f19(x1461,x1463),f19(x1462,x1463))+E(x1463,a1)
% 1.06/1.13 [148]~P1(x1481)+~P1(x1482)+~P3(x1481,x1482)+~E(x1483,f22(x1482,x1481))+E(x1481,a1)+E(x1482,f19(x1481,x1483))
% 1.06/1.13 [153]~P1(x1532)+~P1(x1533)+~P1(x1531)+~P5(x1533,x1532)+~E(f20(x1533,x1531),x1532)+E(x1531,f21(x1532,x1533))
% 1.06/1.13 [161]~P1(x1613)+~P1(x1612)+~P1(x1611)+~P3(x1611,x1613)+~P3(x1611,x1612)+P3(x1611,f20(x1612,x1613))
% 1.06/1.13 [162]~P1(x1622)+~P1(x1621)+~P1(x1623)+~P5(x1621,x1622)+E(x1621,x1622)+P5(f20(x1623,x1621),f20(x1623,x1622))
% 1.06/1.13 [163]~P1(x1632)+~P1(x1633)+~P1(x1631)+~P5(x1631,x1632)+E(x1631,x1632)+P5(f20(x1631,x1633),f20(x1632,x1633))
% 1.06/1.13 [166]~P1(x1662)+~P1(x1661)+~P3(x1661,x1663)+P3(x1661,x1662)+~P1(x1663)+~P3(x1661,f20(x1663,x1662))
% 1.06/1.13 [167]~P1(x1672)+~P1(x1673)+~P1(x1671)+~P3(x1671,x1673)+E(x1671,a1)+E(f22(f19(x1672,x1673),x1671),f19(x1672,f22(x1673,x1671)))
% 1.06/1.13 [154]~P1(x1541)+~P1(x1543)+~P1(x1542)+~P3(x1541,x1543)+~E(x1543,f19(x1541,x1542))+E(x1541,a1)+E(x1542,f22(x1543,x1541))
% 1.06/1.13 [164]~P1(x1642)+~P1(x1641)+~P1(x1643)+~P5(x1641,x1642)+E(x1641,x1642)+P5(f19(x1643,x1641),f19(x1643,x1642))+E(x1643,a1)
% 1.06/1.13 [165]~P1(x1652)+~P1(x1653)+~P1(x1651)+~P5(x1651,x1652)+E(x1651,x1652)+P5(f19(x1651,x1653),f19(x1652,x1653))+E(x1653,a1)
% 1.06/1.13 [171]~P1(x1712)+~P1(x1713)+~P1(x1711)+~P2(x1711)+P3(x1711,x1712)+P3(x1711,x1713)+~P3(x1711,f19(x1712,x1713))+~P4(f20(f20(x1712,x1713),x1711),f20(f20(a24,a25),a27))
% 1.06/1.13 [182]~P1(x1821)+~P1(x1823)+~P1(x1822)+~P2(x1821)+P3(x1821,x1822)+~P3(x1821,f19(x1822,x1823))+P1(f16(x1822,x1823,x1821))+~P4(f20(f20(x1822,x1823),x1821),f20(f20(a24,a25),a27))
% 1.06/1.13 [183]~P1(x1833)+~P1(x1832)+~P1(x1831)+~P2(x1831)+P3(x1831,x1832)+~P3(x1831,f19(x1833,x1832))+P1(f17(x1833,x1832,x1831))+~P4(f20(f20(x1833,x1832),x1831),f20(f20(a24,a25),a27))
% 1.06/1.13 [187]P3(x1871,x1873)+~P1(x1872)+~P1(x1873)+~P1(x1871)+~P2(x1871)+~P3(x1871,f19(x1872,x1873))+E(f19(x1871,f17(x1872,x1873,x1871)),x1872)+~P4(f20(f20(x1872,x1873),x1871),f20(f20(a24,a25),a27))
% 1.06/1.13 [188]P3(x1881,x1882)+~P1(x1882)+~P1(x1881)+~P1(x1883)+~P2(x1881)+~P3(x1881,f19(x1882,x1883))+E(f19(x1881,f16(x1882,x1883,x1881)),x1883)+~P4(f20(f20(x1882,x1883),x1881),f20(f20(a24,a25),a27))
% 1.06/1.13 [213]~P1(x2133)+~P1(x2132)+~P1(x2131)+~P2(x2133)+~P3(x2133,f19(x2131,x2132))+P1(f16(x2131,x2132,x2133))+~P4(f20(f20(x2131,x2132),x2133),f20(f20(a24,a25),a27))+P1(f17(x2131,x2132,x2133))
% 1.06/1.13 [225]~P1(x2251)+~P1(x2253)+~P1(x2252)+~P2(x2251)+~P3(x2251,f19(x2252,x2253))+P1(f16(x2252,x2253,x2251))+~P4(f20(f20(x2252,x2253),x2251),f20(f20(a24,a25),a27))+E(f19(x2251,f17(x2252,x2253,x2251)),x2252)
% 1.06/1.13 [226]~P1(x2262)+~P1(x2261)+~P1(x2263)+~P2(x2261)+~P3(x2261,f19(x2262,x2263))+P1(f17(x2262,x2263,x2261))+~P4(f20(f20(x2262,x2263),x2261),f20(f20(a24,a25),a27))+E(f19(x2261,f16(x2262,x2263,x2261)),x2263)
% 1.06/1.13 [236]~P1(x2362)+~P1(x2361)+~P1(x2363)+~P2(x2361)+~P3(x2361,f19(x2362,x2363))+E(f19(x2361,f16(x2362,x2363,x2361)),x2363)+~P4(f20(f20(x2362,x2363),x2361),f20(f20(a24,a25),a27))+E(f19(x2361,f17(x2362,x2363,x2361)),x2362)
% 1.06/1.13 [170]~P1(x1704)+~P1(x1702)+~P1(x1703)+~P1(x1701)+~P2(x1701)+P3(x1701,x1702)+P3(x1701,x1703)+~E(f19(x1701,x1704),f19(x1702,x1703))+~P4(f20(f20(x1702,x1703),x1701),f20(f20(a24,a25),a27))
% 1.06/1.13 [176]~P1(x1764)+~P1(x1761)+~P1(x1763)+~P1(x1762)+~P2(x1761)+P3(x1761,x1762)+~E(f19(x1762,x1763),f19(x1761,x1764))+P1(f16(x1762,x1763,x1761))+~P4(f20(f20(x1762,x1763),x1761),f20(f20(a24,a25),a27))
% 1.06/1.13 [177]~P1(x1774)+~P1(x1773)+~P1(x1772)+~P1(x1771)+~P2(x1771)+P3(x1771,x1772)+~E(f19(x1771,x1774),f19(x1773,x1772))+P1(f17(x1773,x1772,x1771))+~P4(f20(f20(x1773,x1772),x1771),f20(f20(a24,a25),a27))
% 1.06/1.13 [180]P3(x1801,x1803)+~P1(x1804)+~P1(x1802)+~P1(x1803)+~P1(x1801)+~P2(x1801)+~E(f19(x1801,x1804),f19(x1802,x1803))+E(f19(x1801,f17(x1802,x1803,x1801)),x1802)+~P4(f20(f20(x1802,x1803),x1801),f20(f20(a24,a25),a27))
% 1.06/1.13 [181]P3(x1811,x1812)+~P1(x1814)+~P1(x1812)+~P1(x1811)+~P1(x1813)+~P2(x1811)+~E(f19(x1811,x1814),f19(x1812,x1813))+E(f19(x1811,f16(x1812,x1813,x1811)),x1813)+~P4(f20(f20(x1812,x1813),x1811),f20(f20(a24,a25),a27))
% 1.06/1.13 [202]~P1(x2024)+~P1(x2023)+~P1(x2022)+~P1(x2021)+~P2(x2023)+~E(f19(x2021,x2022),f19(x2023,x2024))+P1(f16(x2021,x2022,x2023))+~P4(f20(f20(x2021,x2022),x2023),f20(f20(a24,a25),a27))+P1(f17(x2021,x2022,x2023))
% 1.06/1.13 [211]~P1(x2114)+~P1(x2111)+~P1(x2113)+~P1(x2112)+~P2(x2111)+~E(f19(x2112,x2113),f19(x2111,x2114))+P1(f16(x2112,x2113,x2111))+~P4(f20(f20(x2112,x2113),x2111),f20(f20(a24,a25),a27))+E(f19(x2111,f17(x2112,x2113,x2111)),x2112)
% 1.06/1.13 [212]~P1(x2124)+~P1(x2122)+~P1(x2121)+~P1(x2123)+~P2(x2121)+~E(f19(x2121,x2124),f19(x2122,x2123))+P1(f17(x2122,x2123,x2121))+~P4(f20(f20(x2122,x2123),x2121),f20(f20(a24,a25),a27))+E(f19(x2121,f16(x2122,x2123,x2121)),x2123)
% 1.06/1.13 [220]~P1(x2204)+~P1(x2202)+~P1(x2201)+~P1(x2203)+~P2(x2201)+~E(f19(x2201,x2204),f19(x2202,x2203))+E(f19(x2201,f16(x2202,x2203,x2201)),x2203)+~P4(f20(f20(x2202,x2203),x2201),f20(f20(a24,a25),a27))+E(f19(x2201,f17(x2202,x2203,x2201)),x2202)
% 1.06/1.13 [174]~P1(x1742)+~P1(x1743)+~P1(x1741)+P3(x1741,x1742)+P3(x1741,x1743)+E(x1741,a23)+~P3(x1741,f19(x1742,x1743))+E(x1741,a1)+~E(f15(x1742,x1743,x1741),a23)+~P4(f20(f20(x1742,x1743),x1741),f20(f20(a24,a25),a27))
% 1.06/1.13 [175]~P1(x1752)+~P1(x1753)+~P1(x1751)+P3(x1751,x1752)+P3(x1751,x1753)+E(x1751,a23)+~E(f15(x1752,x1753,x1751),x1751)+~P3(x1751,f19(x1752,x1753))+E(x1751,a1)+~P4(f20(f20(x1752,x1753),x1751),f20(f20(a24,a25),a27))
% 1.06/1.13 [185]~P1(x1852)+~P1(x1853)+~P1(x1851)+P3(x1851,x1852)+P3(x1851,x1853)+E(x1851,a23)+~P3(x1851,f19(x1852,x1853))+E(x1851,a1)+P1(f15(x1852,x1853,x1851))+~P4(f20(f20(x1852,x1853),x1851),f20(f20(a24,a25),a27))
% 1.06/1.13 [186]~P1(x1862)+~P1(x1863)+~P1(x1861)+P3(x1861,x1862)+P3(x1861,x1863)+E(x1861,a23)+~P3(x1861,f19(x1862,x1863))+E(x1861,a1)+P1(f18(x1862,x1863,x1861))+~P4(f20(f20(x1862,x1863),x1861),f20(f20(a24,a25),a27))
% 1.06/1.13 [189]~P1(x1892)+~P1(x1893)+~P1(x1891)+P3(x1891,x1892)+P3(x1891,x1893)+E(x1891,a23)+P3(f15(x1892,x1893,x1891),x1891)+~P3(x1891,f19(x1892,x1893))+E(x1891,a1)+~P4(f20(f20(x1892,x1893),x1891),f20(f20(a24,a25),a27))
% 1.06/1.13 [198]~P1(x1981)+~P1(x1983)+~P1(x1982)+P3(x1981,x1982)+E(x1981,a23)+~P3(x1981,f19(x1982,x1983))+E(x1981,a1)+~E(f15(x1982,x1983,x1981),a23)+~P4(f20(f20(x1982,x1983),x1981),f20(f20(a24,a25),a27))+P1(f16(x1982,x1983,x1981))
% 1.06/1.13 [199]~P1(x1993)+~P1(x1992)+~P1(x1991)+P3(x1991,x1992)+E(x1991,a23)+~P3(x1991,f19(x1993,x1992))+E(x1991,a1)+~E(f15(x1993,x1992,x1991),a23)+~P4(f20(f20(x1993,x1992),x1991),f20(f20(a24,a25),a27))+P1(f17(x1993,x1992,x1991))
% 1.06/1.13 [200]~P1(x2001)+~P1(x2003)+~P1(x2002)+P3(x2001,x2002)+E(x2001,a23)+~E(f15(x2002,x2003,x2001),x2001)+~P3(x2001,f19(x2002,x2003))+E(x2001,a1)+~P4(f20(f20(x2002,x2003),x2001),f20(f20(a24,a25),a27))+P1(f16(x2002,x2003,x2001))
% 1.06/1.13 [201]~P1(x2013)+~P1(x2012)+~P1(x2011)+P3(x2011,x2012)+E(x2011,a23)+~E(f15(x2013,x2012,x2011),x2011)+~P3(x2011,f19(x2013,x2012))+E(x2011,a1)+~P4(f20(f20(x2013,x2012),x2011),f20(f20(a24,a25),a27))+P1(f17(x2013,x2012,x2011))
% 1.06/1.13 [203]P3(x2031,x2032)+~P1(x2032)+~P1(x2031)+~P1(x2033)+E(x2031,a23)+~P3(x2031,f19(x2032,x2033))+E(x2031,a1)+~E(f15(x2032,x2033,x2031),a23)+~P4(f20(f20(x2032,x2033),x2031),f20(f20(a24,a25),a27))+E(f19(x2031,f16(x2032,x2033,x2031)),x2033)
% 1.06/1.13 [204]P3(x2041,x2043)+~P1(x2042)+~P1(x2043)+~P1(x2041)+E(x2041,a23)+~P3(x2041,f19(x2042,x2043))+E(x2041,a1)+~E(f15(x2042,x2043,x2041),a23)+~P4(f20(f20(x2042,x2043),x2041),f20(f20(a24,a25),a27))+E(f19(x2041,f17(x2042,x2043,x2041)),x2042)
% 1.06/1.13 [205]P3(x2051,x2052)+~P1(x2052)+~P1(x2051)+~P1(x2053)+E(x2051,a23)+~E(f15(x2052,x2053,x2051),x2051)+~P3(x2051,f19(x2052,x2053))+E(x2051,a1)+~P4(f20(f20(x2052,x2053),x2051),f20(f20(a24,a25),a27))+E(f19(x2051,f16(x2052,x2053,x2051)),x2053)
% 1.06/1.13 [206]P3(x2061,x2063)+~P1(x2062)+~P1(x2063)+~P1(x2061)+E(x2061,a23)+~E(f15(x2062,x2063,x2061),x2061)+~P3(x2061,f19(x2062,x2063))+E(x2061,a1)+~P4(f20(f20(x2062,x2063),x2061),f20(f20(a24,a25),a27))+E(f19(x2061,f17(x2062,x2063,x2061)),x2062)
% 1.06/1.13 [221]~P1(x2211)+~P1(x2213)+~P1(x2212)+P3(x2211,x2212)+E(x2211,a23)+~P3(x2211,f19(x2212,x2213))+E(x2211,a1)+P1(f16(x2212,x2213,x2211))+~P4(f20(f20(x2212,x2213),x2211),f20(f20(a24,a25),a27))+P1(f15(x2212,x2213,x2211))
% 1.06/1.13 [222]~P1(x2221)+~P1(x2223)+~P1(x2222)+P3(x2221,x2222)+E(x2221,a23)+~P3(x2221,f19(x2222,x2223))+E(x2221,a1)+P1(f16(x2222,x2223,x2221))+~P4(f20(f20(x2222,x2223),x2221),f20(f20(a24,a25),a27))+P1(f18(x2222,x2223,x2221))
% 1.06/1.13 [223]~P1(x2233)+~P1(x2232)+~P1(x2231)+P3(x2231,x2232)+E(x2231,a23)+~P3(x2231,f19(x2233,x2232))+E(x2231,a1)+P1(f17(x2233,x2232,x2231))+~P4(f20(f20(x2233,x2232),x2231),f20(f20(a24,a25),a27))+P1(f15(x2233,x2232,x2231))
% 1.06/1.13 [224]~P1(x2243)+~P1(x2242)+~P1(x2241)+P3(x2241,x2242)+E(x2241,a23)+~P3(x2241,f19(x2243,x2242))+E(x2241,a1)+P1(f17(x2243,x2242,x2241))+~P4(f20(f20(x2243,x2242),x2241),f20(f20(a24,a25),a27))+P1(f18(x2243,x2242,x2241))
% 1.06/1.13 [230]~P1(x2301)+~P1(x2303)+~P1(x2302)+P3(x2301,x2302)+E(x2301,a23)+P3(f15(x2302,x2303,x2301),x2301)+~P3(x2301,f19(x2302,x2303))+E(x2301,a1)+~P4(f20(f20(x2302,x2303),x2301),f20(f20(a24,a25),a27))+P1(f16(x2302,x2303,x2301))
% 1.06/1.13 [231]~P1(x2313)+~P1(x2312)+~P1(x2311)+P3(x2311,x2312)+E(x2311,a23)+P3(f15(x2313,x2312,x2311),x2311)+~P3(x2311,f19(x2313,x2312))+E(x2311,a1)+~P4(f20(f20(x2313,x2312),x2311),f20(f20(a24,a25),a27))+P1(f17(x2313,x2312,x2311))
% 1.06/1.13 [232]P3(x2321,x2322)+~P1(x2322)+~P1(x2321)+~P1(x2323)+E(x2321,a23)+~P3(x2321,f19(x2322,x2323))+E(x2321,a1)+P1(f15(x2322,x2323,x2321))+~P4(f20(f20(x2322,x2323),x2321),f20(f20(a24,a25),a27))+E(f19(x2321,f16(x2322,x2323,x2321)),x2323)
% 1.06/1.13 [233]P3(x2331,x2332)+~P1(x2332)+~P1(x2331)+~P1(x2333)+E(x2331,a23)+~P3(x2331,f19(x2332,x2333))+E(x2331,a1)+P1(f18(x2332,x2333,x2331))+~P4(f20(f20(x2332,x2333),x2331),f20(f20(a24,a25),a27))+E(f19(x2331,f16(x2332,x2333,x2331)),x2333)
% 1.06/1.13 [234]P3(x2341,x2343)+~P1(x2342)+~P1(x2343)+~P1(x2341)+E(x2341,a23)+~P3(x2341,f19(x2342,x2343))+E(x2341,a1)+P1(f15(x2342,x2343,x2341))+~P4(f20(f20(x2342,x2343),x2341),f20(f20(a24,a25),a27))+E(f19(x2341,f17(x2342,x2343,x2341)),x2342)
% 1.06/1.13 [235]P3(x2351,x2353)+~P1(x2352)+~P1(x2353)+~P1(x2351)+E(x2351,a23)+~P3(x2351,f19(x2352,x2353))+E(x2351,a1)+P1(f18(x2352,x2353,x2351))+~P4(f20(f20(x2352,x2353),x2351),f20(f20(a24,a25),a27))+E(f19(x2351,f17(x2352,x2353,x2351)),x2352)
% 1.06/1.13 [237]P3(x2371,x2372)+~P1(x2372)+~P1(x2371)+~P1(x2373)+E(x2371,a23)+P3(f15(x2372,x2373,x2371),x2371)+~P3(x2371,f19(x2372,x2373))+E(x2371,a1)+~P4(f20(f20(x2372,x2373),x2371),f20(f20(a24,a25),a27))+E(f19(x2371,f16(x2372,x2373,x2371)),x2373)
% 1.06/1.13 [238]P3(x2381,x2383)+~P1(x2382)+~P1(x2383)+~P1(x2381)+E(x2381,a23)+P3(f15(x2382,x2383,x2381),x2381)+~P3(x2381,f19(x2382,x2383))+E(x2381,a1)+~P4(f20(f20(x2382,x2383),x2381),f20(f20(a24,a25),a27))+E(f19(x2381,f17(x2382,x2383,x2381)),x2382)
% 1.06/1.13 [239]P3(x2391,x2392)+P3(x2391,x2393)+~P1(x2392)+~P1(x2393)+~P1(x2391)+E(x2391,a23)+~P3(x2391,f19(x2392,x2393))+E(x2391,a1)+~P4(f20(f20(x2392,x2393),x2391),f20(f20(a24,a25),a27))+E(f19(f15(x2392,x2393,x2391),f18(x2392,x2393,x2391)),x2391)
% 1.06/1.13 [246]~P1(x2461)+~P1(x2463)+~P1(x2462)+E(x2461,a23)+~P3(x2461,f19(x2462,x2463))+E(x2461,a1)+P1(f16(x2462,x2463,x2461))+~E(f15(x2462,x2463,x2461),a23)+~P4(f20(f20(x2462,x2463),x2461),f20(f20(a24,a25),a27))+P1(f17(x2462,x2463,x2461))
% 1.06/1.13 [247]~P1(x2471)+~P1(x2473)+~P1(x2472)+E(x2471,a23)+~E(f15(x2472,x2473,x2471),x2471)+~P3(x2471,f19(x2472,x2473))+E(x2471,a1)+P1(f16(x2472,x2473,x2471))+~P4(f20(f20(x2472,x2473),x2471),f20(f20(a24,a25),a27))+P1(f17(x2472,x2473,x2471))
% 1.06/1.13 [250]~P1(x2501)+~P1(x2503)+~P1(x2502)+E(x2501,a23)+~P3(x2501,f19(x2502,x2503))+E(x2501,a1)+P1(f16(x2502,x2503,x2501))+~E(f15(x2502,x2503,x2501),a23)+~P4(f20(f20(x2502,x2503),x2501),f20(f20(a24,a25),a27))+E(f19(x2501,f17(x2502,x2503,x2501)),x2502)
% 1.06/1.13 [251]~P1(x2512)+~P1(x2511)+~P1(x2513)+E(x2511,a23)+~P3(x2511,f19(x2512,x2513))+E(x2511,a1)+P1(f17(x2512,x2513,x2511))+~E(f15(x2512,x2513,x2511),a23)+~P4(f20(f20(x2512,x2513),x2511),f20(f20(a24,a25),a27))+E(f19(x2511,f16(x2512,x2513,x2511)),x2513)
% 1.06/1.13 [252]~P1(x2521)+~P1(x2523)+~P1(x2522)+E(x2521,a23)+~E(f15(x2522,x2523,x2521),x2521)+~P3(x2521,f19(x2522,x2523))+E(x2521,a1)+P1(f16(x2522,x2523,x2521))+~P4(f20(f20(x2522,x2523),x2521),f20(f20(a24,a25),a27))+E(f19(x2521,f17(x2522,x2523,x2521)),x2522)
% 1.06/1.13 [253]~P1(x2532)+~P1(x2531)+~P1(x2533)+E(x2531,a23)+~E(f15(x2532,x2533,x2531),x2531)+~P3(x2531,f19(x2532,x2533))+E(x2531,a1)+P1(f17(x2532,x2533,x2531))+~P4(f20(f20(x2532,x2533),x2531),f20(f20(a24,a25),a27))+E(f19(x2531,f16(x2532,x2533,x2531)),x2533)
% 1.06/1.13 [256]~P1(x2562)+~P1(x2561)+~P1(x2563)+E(x2561,a23)+~P3(x2561,f19(x2562,x2563))+E(x2561,a1)+E(f19(x2561,f16(x2562,x2563,x2561)),x2563)+~E(f15(x2562,x2563,x2561),a23)+~P4(f20(f20(x2562,x2563),x2561),f20(f20(a24,a25),a27))+E(f19(x2561,f17(x2562,x2563,x2561)),x2562)
% 1.06/1.13 [257]~P1(x2572)+~P1(x2571)+~P1(x2573)+E(x2571,a23)+~E(f15(x2572,x2573,x2571),x2571)+~P3(x2571,f19(x2572,x2573))+E(x2571,a1)+E(f19(x2571,f16(x2572,x2573,x2571)),x2573)+~P4(f20(f20(x2572,x2573),x2571),f20(f20(a24,a25),a27))+E(f19(x2571,f17(x2572,x2573,x2571)),x2572)
% 1.06/1.13 [263]~P1(x2631)+~P1(x2633)+~P1(x2632)+E(x2631,a23)+~P3(x2631,f19(x2632,x2633))+E(x2631,a1)+P1(f17(x2632,x2633,x2631))+P1(f16(x2632,x2633,x2631))+~P4(f20(f20(x2632,x2633),x2631),f20(f20(a24,a25),a27))+P1(f15(x2632,x2633,x2631))
% 1.06/1.13 [264]~P1(x2641)+~P1(x2643)+~P1(x2642)+E(x2641,a23)+~P3(x2641,f19(x2642,x2643))+E(x2641,a1)+P1(f17(x2642,x2643,x2641))+P1(f16(x2642,x2643,x2641))+~P4(f20(f20(x2642,x2643),x2641),f20(f20(a24,a25),a27))+P1(f18(x2642,x2643,x2641))
% 1.06/1.13 [271]~P1(x2711)+~P1(x2713)+~P1(x2712)+E(x2711,a23)+P3(f15(x2712,x2713,x2711),x2711)+~P3(x2711,f19(x2712,x2713))+E(x2711,a1)+P1(f16(x2712,x2713,x2711))+~P4(f20(f20(x2712,x2713),x2711),f20(f20(a24,a25),a27))+P1(f17(x2712,x2713,x2711))
% 1.06/1.13 [272]~P1(x2721)+~P1(x2723)+~P1(x2722)+E(x2721,a23)+~P3(x2721,f19(x2722,x2723))+E(x2721,a1)+P1(f15(x2722,x2723,x2721))+P1(f16(x2722,x2723,x2721))+~P4(f20(f20(x2722,x2723),x2721),f20(f20(a24,a25),a27))+E(f19(x2721,f17(x2722,x2723,x2721)),x2722)
% 1.06/1.13 [273]~P1(x2731)+~P1(x2733)+~P1(x2732)+E(x2731,a23)+~P3(x2731,f19(x2732,x2733))+E(x2731,a1)+P1(f18(x2732,x2733,x2731))+P1(f16(x2732,x2733,x2731))+~P4(f20(f20(x2732,x2733),x2731),f20(f20(a24,a25),a27))+E(f19(x2731,f17(x2732,x2733,x2731)),x2732)
% 1.06/1.13 [274]~P1(x2742)+~P1(x2741)+~P1(x2743)+E(x2741,a23)+~P3(x2741,f19(x2742,x2743))+E(x2741,a1)+P1(f15(x2742,x2743,x2741))+P1(f17(x2742,x2743,x2741))+~P4(f20(f20(x2742,x2743),x2741),f20(f20(a24,a25),a27))+E(f19(x2741,f16(x2742,x2743,x2741)),x2743)
% 1.06/1.13 [275]~P1(x2752)+~P1(x2751)+~P1(x2753)+E(x2751,a23)+~P3(x2751,f19(x2752,x2753))+E(x2751,a1)+P1(f18(x2752,x2753,x2751))+P1(f17(x2752,x2753,x2751))+~P4(f20(f20(x2752,x2753),x2751),f20(f20(a24,a25),a27))+E(f19(x2751,f16(x2752,x2753,x2751)),x2753)
% 1.06/1.13 [279]~P1(x2791)+~P1(x2793)+~P1(x2792)+E(x2791,a23)+P3(f15(x2792,x2793,x2791),x2791)+~P3(x2791,f19(x2792,x2793))+E(x2791,a1)+P1(f16(x2792,x2793,x2791))+~P4(f20(f20(x2792,x2793),x2791),f20(f20(a24,a25),a27))+E(f19(x2791,f17(x2792,x2793,x2791)),x2792)
% 1.06/1.13 [280]~P1(x2802)+~P1(x2801)+~P1(x2803)+E(x2801,a23)+P3(f15(x2802,x2803,x2801),x2801)+~P3(x2801,f19(x2802,x2803))+E(x2801,a1)+P1(f17(x2802,x2803,x2801))+~P4(f20(f20(x2802,x2803),x2801),f20(f20(a24,a25),a27))+E(f19(x2801,f16(x2802,x2803,x2801)),x2803)
% 1.06/1.13 [281]P3(x2811,x2812)+~P1(x2811)+~P1(x2813)+~P1(x2812)+E(x2811,a23)+~P3(x2811,f19(x2812,x2813))+E(x2811,a1)+P1(f16(x2812,x2813,x2811))+~P4(f20(f20(x2812,x2813),x2811),f20(f20(a24,a25),a27))+E(f19(f15(x2812,x2813,x2811),f18(x2812,x2813,x2811)),x2811)
% 1.06/1.13 [282]P3(x2821,x2823)+~P1(x2822)+~P1(x2823)+~P1(x2821)+E(x2821,a23)+~P3(x2821,f19(x2822,x2823))+E(x2821,a1)+P1(f17(x2822,x2823,x2821))+~P4(f20(f20(x2822,x2823),x2821),f20(f20(a24,a25),a27))+E(f19(f15(x2822,x2823,x2821),f18(x2822,x2823,x2821)),x2821)
% 1.06/1.13 [283]~P1(x2832)+~P1(x2831)+~P1(x2833)+E(x2831,a23)+~P3(x2831,f19(x2832,x2833))+E(x2831,a1)+E(f19(x2831,f16(x2832,x2833,x2831)),x2833)+P1(f15(x2832,x2833,x2831))+~P4(f20(f20(x2832,x2833),x2831),f20(f20(a24,a25),a27))+E(f19(x2831,f17(x2832,x2833,x2831)),x2832)
% 1.06/1.13 [284]~P1(x2842)+~P1(x2841)+~P1(x2843)+E(x2841,a23)+~P3(x2841,f19(x2842,x2843))+E(x2841,a1)+E(f19(x2841,f16(x2842,x2843,x2841)),x2843)+P1(f18(x2842,x2843,x2841))+~P4(f20(f20(x2842,x2843),x2841),f20(f20(a24,a25),a27))+E(f19(x2841,f17(x2842,x2843,x2841)),x2842)
% 1.06/1.13 [285]~P1(x2852)+~P1(x2851)+~P1(x2853)+E(x2851,a23)+P3(f15(x2852,x2853,x2851),x2851)+~P3(x2851,f19(x2852,x2853))+E(x2851,a1)+E(f19(x2851,f16(x2852,x2853,x2851)),x2853)+~P4(f20(f20(x2852,x2853),x2851),f20(f20(a24,a25),a27))+E(f19(x2851,f17(x2852,x2853,x2851)),x2852)
% 1.06/1.13 [286]P3(x2861,x2862)+~P1(x2862)+~P1(x2861)+~P1(x2863)+E(x2861,a23)+~P3(x2861,f19(x2862,x2863))+E(x2861,a1)+E(f19(f15(x2862,x2863,x2861),f18(x2862,x2863,x2861)),x2861)+~P4(f20(f20(x2862,x2863),x2861),f20(f20(a24,a25),a27))+E(f19(x2861,f16(x2862,x2863,x2861)),x2863)
% 1.06/1.13 [287]P3(x2871,x2873)+~P1(x2872)+~P1(x2873)+~P1(x2871)+E(x2871,a23)+~P3(x2871,f19(x2872,x2873))+E(x2871,a1)+E(f19(f15(x2872,x2873,x2871),f18(x2872,x2873,x2871)),x2871)+~P4(f20(f20(x2872,x2873),x2871),f20(f20(a24,a25),a27))+E(f19(x2871,f17(x2872,x2873,x2871)),x2872)
% 1.06/1.13 [291]~P1(x2911)+~P1(x2913)+~P1(x2912)+E(x2911,a23)+~P3(x2911,f19(x2912,x2913))+E(x2911,a1)+P1(f17(x2912,x2913,x2911))+P1(f16(x2912,x2913,x2911))+~P4(f20(f20(x2912,x2913),x2911),f20(f20(a24,a25),a27))+E(f19(f15(x2912,x2913,x2911),f18(x2912,x2913,x2911)),x2911)
% 1.06/1.13 [293]~P1(x2931)+~P1(x2933)+~P1(x2932)+E(x2931,a23)+~P3(x2931,f19(x2932,x2933))+E(x2931,a1)+E(f19(f15(x2932,x2933,x2931),f18(x2932,x2933,x2931)),x2931)+P1(f16(x2932,x2933,x2931))+~P4(f20(f20(x2932,x2933),x2931),f20(f20(a24,a25),a27))+E(f19(x2931,f17(x2932,x2933,x2931)),x2932)
% 1.06/1.13 [294]~P1(x2942)+~P1(x2941)+~P1(x2943)+E(x2941,a23)+~P3(x2941,f19(x2942,x2943))+E(x2941,a1)+E(f19(f15(x2942,x2943,x2941),f18(x2942,x2943,x2941)),x2941)+P1(f17(x2942,x2943,x2941))+~P4(f20(f20(x2942,x2943),x2941),f20(f20(a24,a25),a27))+E(f19(x2941,f16(x2942,x2943,x2941)),x2943)
% 1.06/1.13 [295]~P1(x2952)+~P1(x2951)+~P1(x2953)+E(x2951,a23)+~P3(x2951,f19(x2952,x2953))+E(x2951,a1)+E(f19(x2951,f16(x2952,x2953,x2951)),x2953)+E(f19(f15(x2952,x2953,x2951),f18(x2952,x2953,x2951)),x2951)+~P4(f20(f20(x2952,x2953),x2951),f20(f20(a24,a25),a27))+E(f19(x2951,f17(x2952,x2953,x2951)),x2952)
% 1.06/1.13 [172]~P1(x1724)+~P1(x1722)+~P1(x1723)+~P1(x1721)+P3(x1721,x1722)+P3(x1721,x1723)+E(x1721,a23)+E(x1721,a1)+~E(f19(x1721,x1724),f19(x1722,x1723))+~E(f15(x1722,x1723,x1721),a23)+~P4(f20(f20(x1722,x1723),x1721),f20(f20(a24,a25),a27))
% 1.06/1.13 [173]~P1(x1734)+~P1(x1732)+~P1(x1733)+~P1(x1731)+P3(x1731,x1732)+P3(x1731,x1733)+E(x1731,a23)+~E(f15(x1732,x1733,x1731),x1731)+E(x1731,a1)+~E(f19(x1731,x1734),f19(x1732,x1733))+~P4(f20(f20(x1732,x1733),x1731),f20(f20(a24,a25),a27))
% 1.06/1.13 [178]~P1(x1784)+~P1(x1782)+~P1(x1783)+~P1(x1781)+P3(x1781,x1782)+P3(x1781,x1783)+E(x1781,a23)+E(x1781,a1)+~E(f19(x1781,x1784),f19(x1782,x1783))+P1(f15(x1782,x1783,x1781))+~P4(f20(f20(x1782,x1783),x1781),f20(f20(a24,a25),a27))
% 1.06/1.13 [179]~P1(x1794)+~P1(x1792)+~P1(x1793)+~P1(x1791)+P3(x1791,x1792)+P3(x1791,x1793)+E(x1791,a23)+E(x1791,a1)+~E(f19(x1791,x1794),f19(x1792,x1793))+P1(f18(x1792,x1793,x1791))+~P4(f20(f20(x1792,x1793),x1791),f20(f20(a24,a25),a27))
% 1.06/1.13 [184]~P1(x1844)+~P1(x1842)+~P1(x1843)+~P1(x1841)+P3(x1841,x1842)+P3(x1841,x1843)+E(x1841,a23)+P3(f15(x1842,x1843,x1841),x1841)+E(x1841,a1)+~E(f19(x1841,x1844),f19(x1842,x1843))+~P4(f20(f20(x1842,x1843),x1841),f20(f20(a24,a25),a27))
% 1.06/1.13 [190]~P1(x1904)+~P1(x1901)+~P1(x1903)+~P1(x1902)+P3(x1901,x1902)+E(x1901,a23)+E(x1901,a1)+~E(f19(x1902,x1903),f19(x1901,x1904))+~E(f15(x1902,x1903,x1901),a23)+P1(f16(x1902,x1903,x1901))+~P4(f20(f20(x1902,x1903),x1901),f20(f20(a24,a25),a27))
% 1.06/1.13 [191]~P1(x1914)+~P1(x1913)+~P1(x1912)+~P1(x1911)+P3(x1911,x1912)+E(x1911,a23)+E(x1911,a1)+~E(f19(x1911,x1914),f19(x1913,x1912))+~E(f15(x1913,x1912,x1911),a23)+P1(f17(x1913,x1912,x1911))+~P4(f20(f20(x1913,x1912),x1911),f20(f20(a24,a25),a27))
% 1.06/1.13 [192]~P1(x1924)+~P1(x1921)+~P1(x1923)+~P1(x1922)+P3(x1921,x1922)+E(x1921,a23)+~E(f15(x1922,x1923,x1921),x1921)+E(x1921,a1)+~E(f19(x1922,x1923),f19(x1921,x1924))+~P4(f20(f20(x1922,x1923),x1921),f20(f20(a24,a25),a27))+P1(f16(x1922,x1923,x1921))
% 1.06/1.13 [193]~P1(x1934)+~P1(x1933)+~P1(x1932)+~P1(x1931)+P3(x1931,x1932)+E(x1931,a23)+~E(f15(x1933,x1932,x1931),x1931)+E(x1931,a1)+~E(f19(x1931,x1934),f19(x1933,x1932))+~P4(f20(f20(x1933,x1932),x1931),f20(f20(a24,a25),a27))+P1(f17(x1933,x1932,x1931))
% 1.06/1.13 [194]P3(x1941,x1942)+~P1(x1944)+~P1(x1942)+~P1(x1941)+~P1(x1943)+E(x1941,a23)+E(x1941,a1)+~E(f19(x1941,x1944),f19(x1942,x1943))+~E(f15(x1942,x1943,x1941),a23)+~P4(f20(f20(x1942,x1943),x1941),f20(f20(a24,a25),a27))+E(f19(x1941,f16(x1942,x1943,x1941)),x1943)
% 1.06/1.13 [195]P3(x1951,x1953)+~P1(x1954)+~P1(x1952)+~P1(x1953)+~P1(x1951)+E(x1951,a23)+E(x1951,a1)+~E(f19(x1951,x1954),f19(x1952,x1953))+~E(f15(x1952,x1953,x1951),a23)+~P4(f20(f20(x1952,x1953),x1951),f20(f20(a24,a25),a27))+E(f19(x1951,f17(x1952,x1953,x1951)),x1952)
% 1.06/1.13 [196]P3(x1961,x1962)+~P1(x1964)+~P1(x1962)+~P1(x1961)+~P1(x1963)+E(x1961,a23)+~E(f15(x1962,x1963,x1961),x1961)+E(x1961,a1)+~E(f19(x1961,x1964),f19(x1962,x1963))+~P4(f20(f20(x1962,x1963),x1961),f20(f20(a24,a25),a27))+E(f19(x1961,f16(x1962,x1963,x1961)),x1963)
% 1.06/1.13 [197]P3(x1971,x1973)+~P1(x1974)+~P1(x1972)+~P1(x1973)+~P1(x1971)+E(x1971,a23)+~E(f15(x1972,x1973,x1971),x1971)+E(x1971,a1)+~E(f19(x1971,x1974),f19(x1972,x1973))+~P4(f20(f20(x1972,x1973),x1971),f20(f20(a24,a25),a27))+E(f19(x1971,f17(x1972,x1973,x1971)),x1972)
% 1.06/1.13 [207]~P1(x2074)+~P1(x2071)+~P1(x2073)+~P1(x2072)+P3(x2071,x2072)+E(x2071,a23)+E(x2071,a1)+~E(f19(x2072,x2073),f19(x2071,x2074))+P1(f16(x2072,x2073,x2071))+~P4(f20(f20(x2072,x2073),x2071),f20(f20(a24,a25),a27))+P1(f15(x2072,x2073,x2071))
% 1.06/1.13 [208]~P1(x2084)+~P1(x2081)+~P1(x2083)+~P1(x2082)+P3(x2081,x2082)+E(x2081,a23)+E(x2081,a1)+~E(f19(x2082,x2083),f19(x2081,x2084))+P1(f16(x2082,x2083,x2081))+~P4(f20(f20(x2082,x2083),x2081),f20(f20(a24,a25),a27))+P1(f18(x2082,x2083,x2081))
% 1.06/1.13 [209]~P1(x2094)+~P1(x2093)+~P1(x2092)+~P1(x2091)+P3(x2091,x2092)+E(x2091,a23)+E(x2091,a1)+~E(f19(x2091,x2094),f19(x2093,x2092))+P1(f17(x2093,x2092,x2091))+~P4(f20(f20(x2093,x2092),x2091),f20(f20(a24,a25),a27))+P1(f15(x2093,x2092,x2091))
% 1.06/1.13 [210]~P1(x2104)+~P1(x2103)+~P1(x2102)+~P1(x2101)+P3(x2101,x2102)+E(x2101,a23)+E(x2101,a1)+~E(f19(x2101,x2104),f19(x2103,x2102))+P1(f17(x2103,x2102,x2101))+~P4(f20(f20(x2103,x2102),x2101),f20(f20(a24,a25),a27))+P1(f18(x2103,x2102,x2101))
% 1.06/1.13 [214]~P1(x2144)+~P1(x2141)+~P1(x2143)+~P1(x2142)+P3(x2141,x2142)+E(x2141,a23)+P3(f15(x2142,x2143,x2141),x2141)+E(x2141,a1)+~E(f19(x2142,x2143),f19(x2141,x2144))+~P4(f20(f20(x2142,x2143),x2141),f20(f20(a24,a25),a27))+P1(f16(x2142,x2143,x2141))
% 1.06/1.13 [215]~P1(x2154)+~P1(x2153)+~P1(x2152)+~P1(x2151)+P3(x2151,x2152)+E(x2151,a23)+P3(f15(x2153,x2152,x2151),x2151)+E(x2151,a1)+~E(f19(x2151,x2154),f19(x2153,x2152))+~P4(f20(f20(x2153,x2152),x2151),f20(f20(a24,a25),a27))+P1(f17(x2153,x2152,x2151))
% 1.06/1.13 [216]P3(x2161,x2162)+~P1(x2164)+~P1(x2162)+~P1(x2161)+~P1(x2163)+E(x2161,a23)+E(x2161,a1)+~E(f19(x2161,x2164),f19(x2162,x2163))+P1(f15(x2162,x2163,x2161))+~P4(f20(f20(x2162,x2163),x2161),f20(f20(a24,a25),a27))+E(f19(x2161,f16(x2162,x2163,x2161)),x2163)
% 1.06/1.13 [217]P3(x2171,x2172)+~P1(x2174)+~P1(x2172)+~P1(x2171)+~P1(x2173)+E(x2171,a23)+E(x2171,a1)+~E(f19(x2171,x2174),f19(x2172,x2173))+P1(f18(x2172,x2173,x2171))+~P4(f20(f20(x2172,x2173),x2171),f20(f20(a24,a25),a27))+E(f19(x2171,f16(x2172,x2173,x2171)),x2173)
% 1.06/1.13 [218]P3(x2181,x2183)+~P1(x2184)+~P1(x2182)+~P1(x2183)+~P1(x2181)+E(x2181,a23)+E(x2181,a1)+~E(f19(x2181,x2184),f19(x2182,x2183))+P1(f15(x2182,x2183,x2181))+~P4(f20(f20(x2182,x2183),x2181),f20(f20(a24,a25),a27))+E(f19(x2181,f17(x2182,x2183,x2181)),x2182)
% 1.06/1.13 [219]P3(x2191,x2193)+~P1(x2194)+~P1(x2192)+~P1(x2193)+~P1(x2191)+E(x2191,a23)+E(x2191,a1)+~E(f19(x2191,x2194),f19(x2192,x2193))+P1(f18(x2192,x2193,x2191))+~P4(f20(f20(x2192,x2193),x2191),f20(f20(a24,a25),a27))+E(f19(x2191,f17(x2192,x2193,x2191)),x2192)
% 1.06/1.13 [227]P3(x2271,x2272)+~P1(x2274)+~P1(x2272)+~P1(x2271)+~P1(x2273)+E(x2271,a23)+P3(f15(x2272,x2273,x2271),x2271)+E(x2271,a1)+~E(f19(x2271,x2274),f19(x2272,x2273))+~P4(f20(f20(x2272,x2273),x2271),f20(f20(a24,a25),a27))+E(f19(x2271,f16(x2272,x2273,x2271)),x2273)
% 1.06/1.13 [228]P3(x2281,x2283)+~P1(x2284)+~P1(x2282)+~P1(x2283)+~P1(x2281)+E(x2281,a23)+P3(f15(x2282,x2283,x2281),x2281)+E(x2281,a1)+~E(f19(x2281,x2284),f19(x2282,x2283))+~P4(f20(f20(x2282,x2283),x2281),f20(f20(a24,a25),a27))+E(f19(x2281,f17(x2282,x2283,x2281)),x2282)
% 1.06/1.13 [229]P3(x2291,x2292)+P3(x2291,x2293)+~P1(x2294)+~P1(x2292)+~P1(x2293)+~P1(x2291)+E(x2291,a23)+E(x2291,a1)+~E(f19(x2291,x2294),f19(x2292,x2293))+~P4(f20(f20(x2292,x2293),x2291),f20(f20(a24,a25),a27))+E(f19(f15(x2292,x2293,x2291),f18(x2292,x2293,x2291)),x2291)
% 1.06/1.13 [240]~P1(x2404)+~P1(x2401)+~P1(x2403)+~P1(x2402)+E(x2401,a23)+E(x2401,a1)+~E(f19(x2402,x2403),f19(x2401,x2404))+P1(f16(x2402,x2403,x2401))+~E(f15(x2402,x2403,x2401),a23)+~P4(f20(f20(x2402,x2403),x2401),f20(f20(a24,a25),a27))+P1(f17(x2402,x2403,x2401))
% 1.06/1.13 [241]~P1(x2414)+~P1(x2411)+~P1(x2413)+~P1(x2412)+E(x2411,a23)+~E(f15(x2412,x2413,x2411),x2411)+E(x2411,a1)+~E(f19(x2412,x2413),f19(x2411,x2414))+P1(f16(x2412,x2413,x2411))+~P4(f20(f20(x2412,x2413),x2411),f20(f20(a24,a25),a27))+P1(f17(x2412,x2413,x2411))
% 1.06/1.13 [242]~P1(x2424)+~P1(x2421)+~P1(x2423)+~P1(x2422)+E(x2421,a23)+E(x2421,a1)+~E(f19(x2422,x2423),f19(x2421,x2424))+P1(f16(x2422,x2423,x2421))+~E(f15(x2422,x2423,x2421),a23)+~P4(f20(f20(x2422,x2423),x2421),f20(f20(a24,a25),a27))+E(f19(x2421,f17(x2422,x2423,x2421)),x2422)
% 1.06/1.13 [243]~P1(x2434)+~P1(x2432)+~P1(x2431)+~P1(x2433)+E(x2431,a23)+E(x2431,a1)+~E(f19(x2431,x2434),f19(x2432,x2433))+P1(f17(x2432,x2433,x2431))+~E(f15(x2432,x2433,x2431),a23)+~P4(f20(f20(x2432,x2433),x2431),f20(f20(a24,a25),a27))+E(f19(x2431,f16(x2432,x2433,x2431)),x2433)
% 1.06/1.13 [244]~P1(x2444)+~P1(x2441)+~P1(x2443)+~P1(x2442)+E(x2441,a23)+~E(f15(x2442,x2443,x2441),x2441)+E(x2441,a1)+~E(f19(x2442,x2443),f19(x2441,x2444))+P1(f16(x2442,x2443,x2441))+~P4(f20(f20(x2442,x2443),x2441),f20(f20(a24,a25),a27))+E(f19(x2441,f17(x2442,x2443,x2441)),x2442)
% 1.06/1.13 [245]~P1(x2454)+~P1(x2452)+~P1(x2451)+~P1(x2453)+E(x2451,a23)+~E(f15(x2452,x2453,x2451),x2451)+E(x2451,a1)+~E(f19(x2451,x2454),f19(x2452,x2453))+P1(f17(x2452,x2453,x2451))+~P4(f20(f20(x2452,x2453),x2451),f20(f20(a24,a25),a27))+E(f19(x2451,f16(x2452,x2453,x2451)),x2453)
% 1.06/1.13 [248]~P1(x2484)+~P1(x2482)+~P1(x2481)+~P1(x2483)+E(x2481,a23)+E(x2481,a1)+~E(f19(x2481,x2484),f19(x2482,x2483))+E(f19(x2481,f16(x2482,x2483,x2481)),x2483)+~E(f15(x2482,x2483,x2481),a23)+~P4(f20(f20(x2482,x2483),x2481),f20(f20(a24,a25),a27))+E(f19(x2481,f17(x2482,x2483,x2481)),x2482)
% 1.06/1.13 [249]~P1(x2494)+~P1(x2492)+~P1(x2491)+~P1(x2493)+E(x2491,a23)+~E(f15(x2492,x2493,x2491),x2491)+E(x2491,a1)+~E(f19(x2491,x2494),f19(x2492,x2493))+E(f19(x2491,f16(x2492,x2493,x2491)),x2493)+~P4(f20(f20(x2492,x2493),x2491),f20(f20(a24,a25),a27))+E(f19(x2491,f17(x2492,x2493,x2491)),x2492)
% 1.06/1.13 [254]~P1(x2544)+~P1(x2541)+~P1(x2543)+~P1(x2542)+E(x2541,a23)+E(x2541,a1)+~E(f19(x2542,x2543),f19(x2541,x2544))+P1(f17(x2542,x2543,x2541))+P1(f16(x2542,x2543,x2541))+~P4(f20(f20(x2542,x2543),x2541),f20(f20(a24,a25),a27))+P1(f15(x2542,x2543,x2541))
% 1.06/1.13 [255]~P1(x2554)+~P1(x2551)+~P1(x2553)+~P1(x2552)+E(x2551,a23)+E(x2551,a1)+~E(f19(x2552,x2553),f19(x2551,x2554))+P1(f17(x2552,x2553,x2551))+P1(f16(x2552,x2553,x2551))+~P4(f20(f20(x2552,x2553),x2551),f20(f20(a24,a25),a27))+P1(f18(x2552,x2553,x2551))
% 1.06/1.13 [258]~P1(x2584)+~P1(x2581)+~P1(x2583)+~P1(x2582)+E(x2581,a23)+P3(f15(x2582,x2583,x2581),x2581)+E(x2581,a1)+~E(f19(x2582,x2583),f19(x2581,x2584))+P1(f16(x2582,x2583,x2581))+~P4(f20(f20(x2582,x2583),x2581),f20(f20(a24,a25),a27))+P1(f17(x2582,x2583,x2581))
% 1.06/1.13 [259]~P1(x2594)+~P1(x2591)+~P1(x2593)+~P1(x2592)+E(x2591,a23)+E(x2591,a1)+~E(f19(x2592,x2593),f19(x2591,x2594))+P1(f15(x2592,x2593,x2591))+P1(f16(x2592,x2593,x2591))+~P4(f20(f20(x2592,x2593),x2591),f20(f20(a24,a25),a27))+E(f19(x2591,f17(x2592,x2593,x2591)),x2592)
% 1.06/1.13 [260]~P1(x2604)+~P1(x2601)+~P1(x2603)+~P1(x2602)+E(x2601,a23)+E(x2601,a1)+~E(f19(x2602,x2603),f19(x2601,x2604))+P1(f18(x2602,x2603,x2601))+P1(f16(x2602,x2603,x2601))+~P4(f20(f20(x2602,x2603),x2601),f20(f20(a24,a25),a27))+E(f19(x2601,f17(x2602,x2603,x2601)),x2602)
% 1.06/1.13 [261]~P1(x2614)+~P1(x2612)+~P1(x2611)+~P1(x2613)+E(x2611,a23)+E(x2611,a1)+~E(f19(x2611,x2614),f19(x2612,x2613))+P1(f15(x2612,x2613,x2611))+P1(f17(x2612,x2613,x2611))+~P4(f20(f20(x2612,x2613),x2611),f20(f20(a24,a25),a27))+E(f19(x2611,f16(x2612,x2613,x2611)),x2613)
% 1.06/1.13 [262]~P1(x2624)+~P1(x2622)+~P1(x2621)+~P1(x2623)+E(x2621,a23)+E(x2621,a1)+~E(f19(x2621,x2624),f19(x2622,x2623))+P1(f18(x2622,x2623,x2621))+P1(f17(x2622,x2623,x2621))+~P4(f20(f20(x2622,x2623),x2621),f20(f20(a24,a25),a27))+E(f19(x2621,f16(x2622,x2623,x2621)),x2623)
% 1.06/1.13 [265]~P1(x2654)+~P1(x2651)+~P1(x2653)+~P1(x2652)+E(x2651,a23)+P3(f15(x2652,x2653,x2651),x2651)+E(x2651,a1)+~E(f19(x2652,x2653),f19(x2651,x2654))+P1(f16(x2652,x2653,x2651))+~P4(f20(f20(x2652,x2653),x2651),f20(f20(a24,a25),a27))+E(f19(x2651,f17(x2652,x2653,x2651)),x2652)
% 1.06/1.13 [266]~P1(x2664)+~P1(x2662)+~P1(x2661)+~P1(x2663)+E(x2661,a23)+P3(f15(x2662,x2663,x2661),x2661)+E(x2661,a1)+~E(f19(x2661,x2664),f19(x2662,x2663))+P1(f17(x2662,x2663,x2661))+~P4(f20(f20(x2662,x2663),x2661),f20(f20(a24,a25),a27))+E(f19(x2661,f16(x2662,x2663,x2661)),x2663)
% 1.06/1.13 [267]P3(x2671,x2672)+~P1(x2674)+~P1(x2671)+~P1(x2673)+~P1(x2672)+E(x2671,a23)+E(x2671,a1)+~E(f19(x2672,x2673),f19(x2671,x2674))+P1(f16(x2672,x2673,x2671))+~P4(f20(f20(x2672,x2673),x2671),f20(f20(a24,a25),a27))+E(f19(f15(x2672,x2673,x2671),f18(x2672,x2673,x2671)),x2671)
% 1.06/1.13 [268]P3(x2681,x2683)+~P1(x2684)+~P1(x2682)+~P1(x2683)+~P1(x2681)+E(x2681,a23)+E(x2681,a1)+~E(f19(x2681,x2684),f19(x2682,x2683))+P1(f17(x2682,x2683,x2681))+~P4(f20(f20(x2682,x2683),x2681),f20(f20(a24,a25),a27))+E(f19(f15(x2682,x2683,x2681),f18(x2682,x2683,x2681)),x2681)
% 1.06/1.13 [269]~P1(x2694)+~P1(x2692)+~P1(x2691)+~P1(x2693)+E(x2691,a23)+E(x2691,a1)+~E(f19(x2691,x2694),f19(x2692,x2693))+E(f19(x2691,f16(x2692,x2693,x2691)),x2693)+P1(f15(x2692,x2693,x2691))+~P4(f20(f20(x2692,x2693),x2691),f20(f20(a24,a25),a27))+E(f19(x2691,f17(x2692,x2693,x2691)),x2692)
% 1.06/1.13 [270]~P1(x2704)+~P1(x2702)+~P1(x2701)+~P1(x2703)+E(x2701,a23)+E(x2701,a1)+~E(f19(x2701,x2704),f19(x2702,x2703))+E(f19(x2701,f16(x2702,x2703,x2701)),x2703)+P1(f18(x2702,x2703,x2701))+~P4(f20(f20(x2702,x2703),x2701),f20(f20(a24,a25),a27))+E(f19(x2701,f17(x2702,x2703,x2701)),x2702)
% 1.06/1.13 [276]~P1(x2764)+~P1(x2762)+~P1(x2761)+~P1(x2763)+E(x2761,a23)+P3(f15(x2762,x2763,x2761),x2761)+E(x2761,a1)+~E(f19(x2761,x2764),f19(x2762,x2763))+E(f19(x2761,f16(x2762,x2763,x2761)),x2763)+~P4(f20(f20(x2762,x2763),x2761),f20(f20(a24,a25),a27))+E(f19(x2761,f17(x2762,x2763,x2761)),x2762)
% 1.06/1.13 [277]P3(x2771,x2772)+~P1(x2774)+~P1(x2772)+~P1(x2771)+~P1(x2773)+E(x2771,a23)+E(x2771,a1)+~E(f19(x2771,x2774),f19(x2772,x2773))+E(f19(f15(x2772,x2773,x2771),f18(x2772,x2773,x2771)),x2771)+~P4(f20(f20(x2772,x2773),x2771),f20(f20(a24,a25),a27))+E(f19(x2771,f16(x2772,x2773,x2771)),x2773)
% 1.06/1.13 [278]P3(x2781,x2783)+~P1(x2784)+~P1(x2782)+~P1(x2783)+~P1(x2781)+E(x2781,a23)+E(x2781,a1)+~E(f19(x2781,x2784),f19(x2782,x2783))+E(f19(f15(x2782,x2783,x2781),f18(x2782,x2783,x2781)),x2781)+~P4(f20(f20(x2782,x2783),x2781),f20(f20(a24,a25),a27))+E(f19(x2781,f17(x2782,x2783,x2781)),x2782)
% 1.06/1.13 [288]~P1(x2884)+~P1(x2881)+~P1(x2883)+~P1(x2882)+E(x2881,a23)+E(x2881,a1)+~E(f19(x2882,x2883),f19(x2881,x2884))+P1(f17(x2882,x2883,x2881))+P1(f16(x2882,x2883,x2881))+~P4(f20(f20(x2882,x2883),x2881),f20(f20(a24,a25),a27))+E(f19(f15(x2882,x2883,x2881),f18(x2882,x2883,x2881)),x2881)
% 1.06/1.13 [289]~P1(x2894)+~P1(x2891)+~P1(x2893)+~P1(x2892)+E(x2891,a23)+E(x2891,a1)+~E(f19(x2892,x2893),f19(x2891,x2894))+E(f19(f15(x2892,x2893,x2891),f18(x2892,x2893,x2891)),x2891)+P1(f16(x2892,x2893,x2891))+~P4(f20(f20(x2892,x2893),x2891),f20(f20(a24,a25),a27))+E(f19(x2891,f17(x2892,x2893,x2891)),x2892)
% 1.06/1.13 [290]~P1(x2904)+~P1(x2902)+~P1(x2901)+~P1(x2903)+E(x2901,a23)+E(x2901,a1)+~E(f19(x2901,x2904),f19(x2902,x2903))+E(f19(f15(x2902,x2903,x2901),f18(x2902,x2903,x2901)),x2901)+P1(f17(x2902,x2903,x2901))+~P4(f20(f20(x2902,x2903),x2901),f20(f20(a24,a25),a27))+E(f19(x2901,f16(x2902,x2903,x2901)),x2903)
% 1.06/1.13 [292]~P1(x2924)+~P1(x2922)+~P1(x2921)+~P1(x2923)+E(x2921,a23)+E(x2921,a1)+~E(f19(x2921,x2924),f19(x2922,x2923))+E(f19(x2921,f16(x2922,x2923,x2921)),x2923)+E(f19(f15(x2922,x2923,x2921),f18(x2922,x2923,x2921)),x2921)+~P4(f20(f20(x2922,x2923),x2921),f20(f20(a24,a25),a27))+E(f19(x2921,f17(x2922,x2923,x2921)),x2922)
% 1.06/1.13 %EqnAxiom
% 1.06/1.13 [1]E(x11,x11)
% 1.06/1.13 [2]E(x22,x21)+~E(x21,x22)
% 1.06/1.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.06/1.13 [4]~E(x41,x42)+E(f19(x41,x43),f19(x42,x43))
% 1.06/1.13 [5]~E(x51,x52)+E(f19(x53,x51),f19(x53,x52))
% 1.06/1.13 [6]~E(x61,x62)+E(f20(x61,x63),f20(x62,x63))
% 1.06/1.13 [7]~E(x71,x72)+E(f20(x73,x71),f20(x73,x72))
% 1.06/1.13 [8]~E(x81,x82)+E(f17(x81,x83,x84),f17(x82,x83,x84))
% 1.06/1.13 [9]~E(x91,x92)+E(f17(x93,x91,x94),f17(x93,x92,x94))
% 1.06/1.13 [10]~E(x101,x102)+E(f17(x103,x104,x101),f17(x103,x104,x102))
% 1.06/1.13 [11]~E(x111,x112)+E(f15(x111,x113,x114),f15(x112,x113,x114))
% 1.06/1.13 [12]~E(x121,x122)+E(f15(x123,x121,x124),f15(x123,x122,x124))
% 1.06/1.13 [13]~E(x131,x132)+E(f15(x133,x134,x131),f15(x133,x134,x132))
% 1.06/1.13 [14]~E(x141,x142)+E(f16(x141,x143,x144),f16(x142,x143,x144))
% 1.06/1.13 [15]~E(x151,x152)+E(f16(x153,x151,x154),f16(x153,x152,x154))
% 1.06/1.13 [16]~E(x161,x162)+E(f16(x163,x164,x161),f16(x163,x164,x162))
% 1.06/1.13 [17]~E(x171,x172)+E(f18(x171,x173,x174),f18(x172,x173,x174))
% 1.06/1.13 [18]~E(x181,x182)+E(f18(x183,x181,x184),f18(x183,x182,x184))
% 1.06/1.13 [19]~E(x191,x192)+E(f18(x193,x194,x191),f18(x193,x194,x192))
% 1.06/1.13 [20]~E(x201,x202)+E(f21(x201,x203),f21(x202,x203))
% 1.06/1.13 [21]~E(x211,x212)+E(f21(x213,x211),f21(x213,x212))
% 1.06/1.13 [22]~E(x221,x222)+E(f22(x221,x223),f22(x222,x223))
% 1.06/1.13 [23]~E(x231,x232)+E(f22(x233,x231),f22(x233,x232))
% 1.06/1.13 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 1.06/1.13 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 1.06/1.13 [26]~E(x261,x262)+E(f13(x261,x263),f13(x262,x263))
% 1.06/1.13 [27]~E(x271,x272)+E(f13(x273,x271),f13(x273,x272))
% 1.06/1.13 [28]~E(x281,x282)+E(f11(x281),f11(x282))
% 1.06/1.13 [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 1.06/1.13 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.06/1.13 [31]P4(x312,x313)+~E(x311,x312)+~P4(x311,x313)
% 1.06/1.13 [32]P4(x323,x322)+~E(x321,x322)+~P4(x323,x321)
% 1.06/1.13 [33]P3(x332,x333)+~E(x331,x332)+~P3(x331,x333)
% 1.06/1.13 [34]P3(x343,x342)+~E(x341,x342)+~P3(x343,x341)
% 1.06/1.13 [35]~P2(x351)+P2(x352)+~E(x351,x352)
% 1.06/1.13 [36]P5(x362,x363)+~E(x361,x362)+~P5(x361,x363)
% 1.06/1.13 [37]P5(x373,x372)+~E(x371,x372)+~P5(x373,x371)
% 1.06/1.13
% 1.06/1.13 %-------------------------------------------
% 1.06/1.14 cnf(296,plain,
% 1.06/1.14 ($false),
% 1.06/1.14 inference(scs_inference,[],[85,86,107]),
% 1.06/1.14 ['proof']).
% 1.06/1.14 % SZS output end Proof
% 1.06/1.14 % Total time :0.020000s
%------------------------------------------------------------------------------