TSTP Solution File: RNG124+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 13:48:18 EDT 2023
% Result : Theorem 2.41s 2.51s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 01:18:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 2.41/2.48 %-------------------------------------------
% 2.41/2.48 % File :CSE---1.6
% 2.41/2.48 % Problem :theBenchmark
% 2.41/2.48 % Transform :cnf
% 2.41/2.48 % Format :tptp:raw
% 2.41/2.48 % Command :java -jar mcs_scs.jar %d %s
% 2.41/2.48
% 2.41/2.48 % Result :Theorem 1.830000s
% 2.41/2.48 % Output :CNFRefutation 1.830000s
% 2.41/2.48 %-------------------------------------------
% 2.41/2.49 %------------------------------------------------------------------------------
% 2.41/2.49 % File : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 2.41/2.49 % Domain : Ring Theory
% 2.41/2.49 % Problem : Chinese remainder theorem in a ring 07_05_03_07, 03 expansion
% 2.41/2.49 % Version : Especial.
% 2.41/2.49 % English :
% 2.41/2.49
% 2.41/2.49 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 2.41/2.49 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 2.41/2.49 % Source : [Pas08]
% 2.41/2.49 % Names : chines_07_05_03_07.03 [Pas08]
% 2.41/2.49
% 2.41/2.49 % Status : ContradictoryAxioms
% 2.41/2.49 % Rating : 0.19 v8.1.0, 0.22 v7.4.0, 0.43 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.25 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.57 v4.0.1, 0.78 v4.0.0
% 2.41/2.49 % Syntax : Number of formulae : 56 ( 6 unt; 9 def)
% 2.41/2.49 % Number of atoms : 271 ( 67 equ)
% 2.41/2.49 % Maximal formula atoms : 23 ( 4 avg)
% 2.41/2.49 % Number of connectives : 230 ( 15 ~; 13 |; 132 &)
% 2.41/2.49 % ( 17 <=>; 53 =>; 0 <=; 0 <~>)
% 2.41/2.49 % Maximal formula depth : 18 ( 6 avg)
% 2.41/2.49 % Maximal term depth : 4 ( 1 avg)
% 2.41/2.49 % Number of predicates : 14 ( 11 usr; 2 prp; 0-3 aty)
% 2.41/2.49 % Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% 2.41/2.49 % Number of variables : 130 ( 87 !; 43 ?)
% 2.41/2.49 % SPC : FOF_CAX_RFO_SEQ
% 2.41/2.49
% 2.41/2.49 % Comments : Problem generated by the SAD system [VLP07]
% 2.41/2.49 %------------------------------------------------------------------------------
% 2.41/2.49 fof(mElmSort,axiom,
% 2.41/2.49 ! [W0] :
% 2.41/2.49 ( aElement0(W0)
% 2.41/2.49 => $true ) ).
% 2.41/2.49
% 2.41/2.49 fof(mSortsC,axiom,
% 2.41/2.49 aElement0(sz00) ).
% 2.41/2.49
% 2.41/2.49 fof(mSortsC_01,axiom,
% 2.41/2.49 aElement0(sz10) ).
% 2.41/2.49
% 2.41/2.49 fof(mSortsU,axiom,
% 2.41/2.49 ! [W0] :
% 2.41/2.49 ( aElement0(W0)
% 2.41/2.49 => aElement0(smndt0(W0)) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mSortsB,axiom,
% 2.41/2.49 ! [W0,W1] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1) )
% 2.41/2.49 => aElement0(sdtpldt0(W0,W1)) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mSortsB_02,axiom,
% 2.41/2.49 ! [W0,W1] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1) )
% 2.41/2.49 => aElement0(sdtasdt0(W0,W1)) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mAddComm,axiom,
% 2.41/2.49 ! [W0,W1] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1) )
% 2.41/2.49 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mAddAsso,axiom,
% 2.41/2.49 ! [W0,W1,W2] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1)
% 2.41/2.49 & aElement0(W2) )
% 2.41/2.49 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mAddZero,axiom,
% 2.41/2.49 ! [W0] :
% 2.41/2.49 ( aElement0(W0)
% 2.41/2.49 => ( sdtpldt0(W0,sz00) = W0
% 2.41/2.49 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mAddInvr,axiom,
% 2.41/2.49 ! [W0] :
% 2.41/2.49 ( aElement0(W0)
% 2.41/2.49 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 2.41/2.49 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mMulComm,axiom,
% 2.41/2.49 ! [W0,W1] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1) )
% 2.41/2.49 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mMulAsso,axiom,
% 2.41/2.49 ! [W0,W1,W2] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1)
% 2.41/2.49 & aElement0(W2) )
% 2.41/2.49 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mMulUnit,axiom,
% 2.41/2.49 ! [W0] :
% 2.41/2.49 ( aElement0(W0)
% 2.41/2.49 => ( sdtasdt0(W0,sz10) = W0
% 2.41/2.49 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 2.41/2.49
% 2.41/2.49 fof(mAMDistr,axiom,
% 2.41/2.49 ! [W0,W1,W2] :
% 2.41/2.49 ( ( aElement0(W0)
% 2.41/2.49 & aElement0(W1)
% 2.41/2.49 & aElement0(W2) )
% 2.41/2.49 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 2.41/2.49 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mMulMnOne,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 2.41/2.50 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mMulZero,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 => ( sdtasdt0(W0,sz00) = sz00
% 2.41/2.50 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mCancel,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1) )
% 2.41/2.50 => ( sdtasdt0(W0,W1) = sz00
% 2.41/2.50 => ( W0 = sz00
% 2.41/2.50 | W1 = sz00 ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mUnNeZr,axiom,
% 2.41/2.50 sz10 != sz00 ).
% 2.41/2.50
% 2.41/2.50 fof(mSetSort,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aSet0(W0)
% 2.41/2.50 => $true ) ).
% 2.41/2.50
% 2.41/2.50 fof(mEOfElem,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aSet0(W0)
% 2.41/2.50 => ! [W1] :
% 2.41/2.50 ( aElementOf0(W1,W0)
% 2.41/2.50 => aElement0(W1) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mSetEq,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aSet0(W0)
% 2.41/2.50 & aSet0(W1) )
% 2.41/2.50 => ( ( ! [W2] :
% 2.41/2.50 ( aElementOf0(W2,W0)
% 2.41/2.50 => aElementOf0(W2,W1) )
% 2.41/2.50 & ! [W2] :
% 2.41/2.50 ( aElementOf0(W2,W1)
% 2.41/2.50 => aElementOf0(W2,W0) ) )
% 2.41/2.50 => W0 = W1 ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefSSum,definition,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aSet0(W0)
% 2.41/2.50 & aSet0(W1) )
% 2.41/2.50 => ! [W2] :
% 2.41/2.50 ( W2 = sdtpldt1(W0,W1)
% 2.41/2.50 <=> ( aSet0(W2)
% 2.41/2.50 & ! [W3] :
% 2.41/2.50 ( aElementOf0(W3,W2)
% 2.41/2.50 <=> ? [W4,W5] :
% 2.41/2.50 ( aElementOf0(W4,W0)
% 2.41/2.50 & aElementOf0(W5,W1)
% 2.41/2.50 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefSInt,definition,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aSet0(W0)
% 2.41/2.50 & aSet0(W1) )
% 2.41/2.50 => ! [W2] :
% 2.41/2.50 ( W2 = sdtasasdt0(W0,W1)
% 2.41/2.50 <=> ( aSet0(W2)
% 2.41/2.50 & ! [W3] :
% 2.41/2.50 ( aElementOf0(W3,W2)
% 2.41/2.50 <=> ( aElementOf0(W3,W0)
% 2.41/2.50 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefIdeal,definition,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aIdeal0(W0)
% 2.41/2.50 <=> ( aSet0(W0)
% 2.41/2.50 & ! [W1] :
% 2.41/2.50 ( aElementOf0(W1,W0)
% 2.41/2.50 => ( ! [W2] :
% 2.41/2.50 ( aElementOf0(W2,W0)
% 2.41/2.50 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 2.41/2.50 & ! [W2] :
% 2.41/2.50 ( aElement0(W2)
% 2.41/2.50 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mIdeSum,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aIdeal0(W0)
% 2.41/2.50 & aIdeal0(W1) )
% 2.41/2.50 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mIdeInt,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aIdeal0(W0)
% 2.41/2.50 & aIdeal0(W1) )
% 2.41/2.50 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefMod,definition,
% 2.41/2.50 ! [W0,W1,W2] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1)
% 2.41/2.50 & aIdeal0(W2) )
% 2.41/2.50 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 2.41/2.50 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mChineseRemainder,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aIdeal0(W0)
% 2.41/2.50 & aIdeal0(W1) )
% 2.41/2.50 => ( ! [W2] :
% 2.41/2.50 ( aElement0(W2)
% 2.41/2.50 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 2.41/2.50 => ! [W2,W3] :
% 2.41/2.50 ( ( aElement0(W2)
% 2.41/2.50 & aElement0(W3) )
% 2.41/2.50 => ? [W4] :
% 2.41/2.50 ( aElement0(W4)
% 2.41/2.50 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 2.41/2.50 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mNatSort,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aNaturalNumber0(W0)
% 2.41/2.50 => $true ) ).
% 2.41/2.50
% 2.41/2.50 fof(mEucSort,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & W0 != sz00 )
% 2.41/2.50 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mNatLess,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aNaturalNumber0(W0)
% 2.41/2.50 & aNaturalNumber0(W1) )
% 2.41/2.50 => ( iLess0(W0,W1)
% 2.41/2.50 => $true ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDivision,axiom,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1)
% 2.41/2.50 & W1 != sz00 )
% 2.41/2.50 => ? [W2,W3] :
% 2.41/2.50 ( aElement0(W2)
% 2.41/2.50 & aElement0(W3)
% 2.41/2.50 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 2.41/2.50 & ( W3 != sz00
% 2.41/2.50 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefDiv,definition,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1) )
% 2.41/2.50 => ( doDivides0(W0,W1)
% 2.41/2.50 <=> ? [W2] :
% 2.41/2.50 ( aElement0(W2)
% 2.41/2.50 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefDvs,definition,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 => ! [W1] :
% 2.41/2.50 ( aDivisorOf0(W1,W0)
% 2.41/2.50 <=> ( aElement0(W1)
% 2.41/2.50 & doDivides0(W1,W0) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefGCD,definition,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1) )
% 2.41/2.50 => ! [W2] :
% 2.41/2.50 ( aGcdOfAnd0(W2,W0,W1)
% 2.41/2.50 <=> ( aDivisorOf0(W2,W0)
% 2.41/2.50 & aDivisorOf0(W2,W1)
% 2.41/2.50 & ! [W3] :
% 2.41/2.50 ( ( aDivisorOf0(W3,W0)
% 2.41/2.50 & aDivisorOf0(W3,W1) )
% 2.41/2.50 => doDivides0(W3,W2) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefRel,definition,
% 2.41/2.50 ! [W0,W1] :
% 2.41/2.50 ( ( aElement0(W0)
% 2.41/2.50 & aElement0(W1) )
% 2.41/2.50 => ( misRelativelyPrime0(W0,W1)
% 2.41/2.50 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mDefPrIdeal,definition,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 => ! [W1] :
% 2.41/2.50 ( W1 = slsdtgt0(W0)
% 2.41/2.50 <=> ( aSet0(W1)
% 2.41/2.50 & ! [W2] :
% 2.41/2.50 ( aElementOf0(W2,W1)
% 2.41/2.50 <=> ? [W3] :
% 2.41/2.50 ( aElement0(W3)
% 2.41/2.50 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 2.41/2.50
% 2.41/2.50 fof(mPrIdeal,axiom,
% 2.41/2.50 ! [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 => aIdeal0(slsdtgt0(W0)) ) ).
% 2.41/2.50
% 2.41/2.50 fof(m__2091,hypothesis,
% 2.41/2.50 ( aElement0(xa)
% 2.41/2.50 & aElement0(xb) ) ).
% 2.41/2.50
% 2.41/2.50 fof(m__2110,hypothesis,
% 2.41/2.50 ( xa != sz00
% 2.41/2.50 | xb != sz00 ) ).
% 2.41/2.50
% 2.41/2.50 fof(m__2129,hypothesis,
% 2.41/2.50 ( aElement0(xc)
% 2.41/2.50 & ? [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 & sdtasdt0(xc,W0) = xa )
% 2.41/2.50 & doDivides0(xc,xa)
% 2.41/2.50 & aDivisorOf0(xc,xa)
% 2.41/2.50 & aElement0(xc)
% 2.41/2.50 & ? [W0] :
% 2.41/2.50 ( aElement0(W0)
% 2.41/2.50 & sdtasdt0(xc,W0) = xb )
% 2.41/2.50 & doDivides0(xc,xb)
% 2.41/2.50 & aDivisorOf0(xc,xb)
% 2.41/2.50 & ! [W0] :
% 2.41/2.50 ( ( ( ( aElement0(W0)
% 2.41/2.50 & ( ? [W1] :
% 2.41/2.50 ( aElement0(W1)
% 2.41/2.50 & sdtasdt0(W0,W1) = xa )
% 2.41/2.50 | doDivides0(W0,xa) ) )
% 2.41/2.50 | aDivisorOf0(W0,xa) )
% 2.41/2.50 & ( ? [W1] :
% 2.41/2.50 ( aElement0(W1)
% 2.41/2.50 & sdtasdt0(W0,W1) = xb )
% 2.41/2.50 | doDivides0(W0,xb)
% 2.41/2.50 | aDivisorOf0(W0,xb) ) )
% 2.41/2.50 => ( ? [W1] :
% 2.41/2.50 ( aElement0(W1)
% 2.41/2.50 & sdtasdt0(W0,W1) = xc )
% 2.41/2.50 & doDivides0(W0,xc) ) )
% 2.41/2.50 & aGcdOfAnd0(xc,xa,xb) ) ).
% 2.41/2.50
% 2.41/2.50 fof(m__2174,hypothesis,
% 2.41/2.50 ( aSet0(xI)
% 2.41/2.50 & ! [W0] :
% 2.41/2.50 ( aElementOf0(W0,xI)
% 2.41/2.50 => ( ! [W1] :
% 2.41/2.50 ( aElementOf0(W1,xI)
% 2.41/2.50 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 2.41/2.50 & ! [W1] :
% 2.41/2.50 ( aElement0(W1)
% 2.41/2.50 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 2.41/2.50 & aIdeal0(xI)
% 2.41/2.50 & ! [W0] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 <=> ? [W1] :
% 2.41/2.51 ( aElement0(W1)
% 2.41/2.51 & sdtasdt0(xa,W1) = W0 ) )
% 2.41/2.51 & ! [W0] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xb))
% 2.41/2.51 <=> ? [W1] :
% 2.41/2.51 ( aElement0(W1)
% 2.41/2.51 & sdtasdt0(xb,W1) = W0 ) )
% 2.41/2.51 & ! [W0] :
% 2.41/2.51 ( aElementOf0(W0,xI)
% 2.41/2.51 <=> ? [W1,W2] :
% 2.41/2.51 ( aElementOf0(W1,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W2,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W1,W2) = W0 ) )
% 2.41/2.51 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2203,hypothesis,
% 2.41/2.51 ( ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xa,W0) = sz00 )
% 2.41/2.51 & aElementOf0(sz00,slsdtgt0(xa))
% 2.41/2.51 & ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xa,W0) = xa )
% 2.41/2.51 & aElementOf0(xa,slsdtgt0(xa))
% 2.41/2.51 & ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xb,W0) = sz00 )
% 2.41/2.51 & aElementOf0(sz00,slsdtgt0(xb))
% 2.41/2.51 & ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xb,W0) = xb )
% 2.41/2.51 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2228,hypothesis,
% 2.41/2.51 ? [W0] :
% 2.41/2.51 ( ! [W1] :
% 2.41/2.51 ( aElementOf0(W1,slsdtgt0(xa))
% 2.41/2.51 <=> ? [W2] :
% 2.41/2.51 ( aElement0(W2)
% 2.41/2.51 & sdtasdt0(xa,W2) = W1 ) )
% 2.41/2.51 & ! [W1] :
% 2.41/2.51 ( aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 <=> ? [W2] :
% 2.41/2.51 ( aElement0(W2)
% 2.41/2.51 & sdtasdt0(xb,W2) = W1 ) )
% 2.41/2.51 & ? [W1,W2] :
% 2.41/2.51 ( aElementOf0(W1,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W2,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W1,W2) = W0 )
% 2.41/2.51 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 2.41/2.51 & W0 != sz00 ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2273,hypothesis,
% 2.41/2.51 ( ? [W0,W1] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W0,W1) = xu )
% 2.41/2.51 & aElementOf0(xu,xI)
% 2.41/2.51 & xu != sz00
% 2.41/2.51 & ! [W0] :
% 2.41/2.51 ( ( ( ? [W1,W2] :
% 2.41/2.51 ( aElementOf0(W1,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W2,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W1,W2) = W0 )
% 2.41/2.51 | aElementOf0(W0,xI) )
% 2.41/2.51 & W0 != sz00 )
% 2.41/2.51 => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2383,hypothesis,
% 2.41/2.51 ~ ( ( ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xu,W0) = xa )
% 2.41/2.51 | doDivides0(xu,xa)
% 2.41/2.51 | aDivisorOf0(xu,xa) )
% 2.41/2.51 & ( ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xu,W0) = xb )
% 2.41/2.51 | doDivides0(xu,xb)
% 2.41/2.51 | aDivisorOf0(xu,xb) ) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2416,hypothesis,
% 2.41/2.51 ? [W0,W1] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & aElement0(W1)
% 2.41/2.51 & xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2479,hypothesis,
% 2.41/2.51 ~ ~ ( ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xu,W0) = xa )
% 2.41/2.51 & doDivides0(xu,xa) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2612,hypothesis,
% 2.41/2.51 ~ ( ? [W0] :
% 2.41/2.51 ( aElement0(W0)
% 2.41/2.51 & sdtasdt0(xu,W0) = xb )
% 2.41/2.51 | doDivides0(xu,xb) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2666,hypothesis,
% 2.41/2.51 ( aElement0(xq)
% 2.41/2.51 & aElement0(xr)
% 2.41/2.51 & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
% 2.41/2.51 & ( xr = sz00
% 2.41/2.51 | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2673,hypothesis,
% 2.41/2.51 xr != sz00 ).
% 2.41/2.51
% 2.41/2.51 fof(m__2690,hypothesis,
% 2.41/2.51 ( ? [W0,W1] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W0,W1) = smndt0(sdtasdt0(xq,xu)) )
% 2.41/2.51 & aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2699,hypothesis,
% 2.41/2.51 ( ? [W0,W1] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W0,W1) = xb )
% 2.41/2.51 & ? [W0,W1] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W0,W1) = xb )
% 2.41/2.51 & aElementOf0(xb,xI) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2718,hypothesis,
% 2.41/2.51 xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) ).
% 2.41/2.51
% 2.41/2.51 fof(m__2729,hypothesis,
% 2.41/2.51 ( ? [W0,W1] :
% 2.41/2.51 ( aElementOf0(W0,slsdtgt0(xa))
% 2.41/2.51 & aElementOf0(W1,slsdtgt0(xb))
% 2.41/2.51 & sdtpldt0(W0,W1) = xr )
% 2.41/2.51 & aElementOf0(xr,xI) ) ).
% 2.41/2.51
% 2.41/2.51 fof(m__,conjecture,
% 2.41/2.51 $false ).
% 2.41/2.51
% 2.41/2.51 %------------------------------------------------------------------------------
% 2.41/2.51 %-------------------------------------------
% 2.41/2.51 % Proof found
% 2.41/2.51 % SZS status Theorem for theBenchmark
% 2.41/2.51 % SZS output start Proof
% 2.41/2.51 %ClaNum:300(EqnAxiom:90)
% 2.41/2.51 %VarNum:909(SingletonVarNum:286)
% 2.41/2.51 %MaxLitNum:8
% 2.41/2.51 %MaxfuncDepth:3
% 2.41/2.51 %SharedTerms:125
% 2.41/2.51 [91]P1(a1)
% 2.41/2.51 [92]P1(a56)
% 2.41/2.51 [93]P1(a57)
% 2.41/2.51 [94]P1(a59)
% 2.41/2.51 [96]P1(a60)
% 2.41/2.51 [97]P1(a61)
% 2.41/2.51 [98]P1(a62)
% 2.41/2.51 [99]P1(a2)
% 2.41/2.51 [100]P1(a15)
% 2.41/2.51 [101]P1(a16)
% 2.41/2.51 [102]P1(a22)
% 2.41/2.51 [103]P1(a23)
% 2.41/2.51 [104]P1(a25)
% 2.41/2.51 [105]P1(a26)
% 2.41/2.51 [106]P1(a34)
% 2.41/2.51 [107]P1(a36)
% 2.41/2.51 [108]P3(a58)
% 2.41/2.51 [109]P4(a58)
% 2.41/2.51 [121]P5(a59,a58)
% 2.41/2.51 [122]P5(a63,a58)
% 2.41/2.51 [123]P5(a62,a58)
% 2.41/2.51 [124]P8(a60,a57)
% 2.41/2.51 [125]P8(a60,a59)
% 2.41/2.51 [126]P8(a63,a57)
% 2.41/2.51 [127]P2(a60,a57)
% 2.41/2.51 [128]P2(a60,a59)
% 2.41/2.51 [146]P6(a60,a57,a59)
% 2.41/2.51 [151]~E(a1,a56)
% 2.41/2.51 [152]~E(a1,a63)
% 2.41/2.51 [153]~E(a1,a62)
% 2.41/2.51 [154]~E(a1,a28)
% 2.41/2.51 [155]~P8(a63,a59)
% 2.41/2.51 [110]E(f37(a27,a31),a28)
% 2.41/2.51 [111]E(f37(a32,a33),a63)
% 2.41/2.51 [112]E(f37(a38,a41),a59)
% 2.41/2.51 [113]E(f37(a42,a43),a62)
% 2.41/2.51 [114]E(f44(a57,a16),a1)
% 2.41/2.51 [115]E(f44(a57,a22),a57)
% 2.41/2.51 [116]E(f44(a59,a23),a1)
% 2.41/2.51 [117]E(f44(a59,a25),a59)
% 2.41/2.51 [118]E(f44(a60,a2),a57)
% 2.41/2.51 [119]E(f44(a60,a15),a59)
% 2.41/2.51 [120]E(f44(a63,a36),a57)
% 2.41/2.51 [129]P5(a1,f53(a57))
% 2.41/2.51 [130]P5(a1,f53(a59))
% 2.41/2.51 [131]P5(a57,f53(a57))
% 2.41/2.51 [132]P5(a59,f53(a59))
% 2.41/2.51 [133]P5(a27,f53(a57))
% 2.41/2.51 [134]P5(a31,f53(a59))
% 2.41/2.51 [135]P5(a32,f53(a57))
% 2.41/2.51 [136]P5(a33,f53(a59))
% 2.41/2.51 [137]P5(a39,f53(a57))
% 2.41/2.51 [138]P5(a40,f53(a59))
% 2.41/2.51 [139]P5(a38,f53(a57))
% 2.41/2.51 [140]P5(a41,f53(a59))
% 2.41/2.51 [141]P5(a42,f53(a57))
% 2.41/2.51 [142]P5(a43,f53(a59))
% 2.41/2.51 [143]E(f54(f53(a57),f53(a59)),a58)
% 2.41/2.51 [144]E(f37(f44(a61,a63),a62),a59)
% 2.41/2.51 [145]E(f55(f44(a61,a63)),f37(a39,a40))
% 2.41/2.51 [147]P5(a28,f54(f53(a57),f53(a59)))
% 2.41/2.51 [148]E(f37(f44(a57,a26),f44(a59,a34)),a63)
% 2.41/2.51 [150]P5(f55(f44(a61,a63)),a58)
% 2.41/2.51 [149]E(f37(f55(f44(a61,a63)),a59),a62)
% 2.41/2.51 [156]~E(a1,a57)+~E(a1,a59)
% 2.41/2.51 [178]~P8(a63,a57)+~P2(a63,a59)
% 2.41/2.51 [180]~P2(a63,a57)+~P2(a63,a59)
% 2.41/2.51 [168]E(a1,a62)+P9(f45(a62),f45(a63))
% 2.41/2.51 [157]~P4(x1571)+P3(x1571)
% 2.41/2.51 [158]~P1(x1581)+P1(f55(x1581))
% 2.41/2.51 [159]~P1(x1591)+P4(f53(x1591))
% 2.41/2.51 [161]~P1(x1611)+E(f44(a1,x1611),a1)
% 2.41/2.51 [162]~P1(x1621)+E(f44(x1621,a1),a1)
% 2.41/2.51 [164]~P1(x1641)+E(f37(a1,x1641),x1641)
% 2.41/2.51 [165]~P1(x1651)+E(f44(a56,x1651),x1651)
% 2.41/2.51 [166]~P1(x1661)+E(f37(x1661,a1),x1661)
% 2.41/2.51 [167]~P1(x1671)+E(f44(x1671,a56),x1671)
% 2.41/2.51 [169]~P1(x1691)+~E(f44(a63,x1691),a59)
% 2.41/2.51 [181]~P5(x1811,f53(a57))+P1(f17(x1811))
% 2.41/2.51 [182]~P5(x1821,f53(a59))+P1(f19(x1821))
% 2.41/2.51 [183]~P5(x1831,f53(a57))+P1(f29(x1831))
% 2.41/2.51 [184]~P5(x1841,f53(a59))+P1(f30(x1841))
% 2.41/2.51 [191]~P5(x1911,a58)+P5(f20(x1911),f53(a57))
% 2.41/2.51 [192]~P5(x1921,a58)+P5(f21(x1921),f53(a59))
% 2.41/2.51 [170]~P1(x1701)+E(f37(f55(x1701),x1701),a1)
% 2.41/2.51 [171]~P1(x1711)+E(f37(x1711,f55(x1711)),a1)
% 2.41/2.51 [172]~P1(x1721)+E(f44(x1721,f55(a56)),f55(x1721))
% 2.41/2.51 [173]~P1(x1731)+E(f44(f55(a56),x1731),f55(x1731))
% 2.41/2.51 [208]~P5(x2081,f53(a57))+E(f44(a57,f17(x2081)),x2081)
% 2.41/2.51 [209]~P5(x2091,f53(a57))+E(f44(a57,f29(x2091)),x2091)
% 2.41/2.51 [210]~P5(x2101,f53(a59))+E(f44(a59,f19(x2101)),x2101)
% 2.41/2.51 [211]~P5(x2111,f53(a59))+E(f44(a59,f30(x2111)),x2111)
% 2.41/2.51 [212]~P5(x2121,a58)+E(f37(f20(x2121),f21(x2121)),x2121)
% 2.41/2.51 [216]~P8(x2161,a59)+~P2(x2161,a57)+P8(x2161,a60)
% 2.41/2.51 [217]~P2(x2171,a57)+~P2(x2171,a59)+P8(x2171,a60)
% 2.41/2.51 [160]~P1(x1601)+E(x1601,a1)+P7(f45(x1601))
% 2.41/2.51 [174]~P3(x1741)+P4(x1741)+P5(f46(x1741),x1741)
% 2.41/2.51 [199]~P1(x1991)+~P2(a63,a59)+~E(f44(a63,x1991),a57)
% 2.41/2.51 [213]~P8(x2131,a59)+~P2(x2131,a57)+P1(f18(x2131))
% 2.41/2.51 [214]~P2(x2141,a57)+~P2(x2141,a59)+P1(f18(x2141))
% 2.41/2.51 [221]~P5(x2211,a58)+E(x2211,a1)+~P9(f45(x2211),f45(a63))
% 2.41/2.51 [227]~P8(x2271,a59)+~P2(x2271,a57)+E(f44(x2271,f18(x2271)),a60)
% 2.41/2.51 [228]~P2(x2281,a57)+~P2(x2281,a59)+E(f44(x2281,f18(x2281)),a60)
% 2.41/2.51 [175]~P5(x1751,x1752)+P1(x1751)+~P3(x1752)
% 2.41/2.51 [176]~P2(x1761,x1762)+P1(x1761)+~P1(x1762)
% 2.41/2.51 [193]~P1(x1932)+~P2(x1931,x1932)+P8(x1931,x1932)
% 2.41/2.51 [163]~P1(x1632)+P3(x1631)+~E(x1631,f53(x1632))
% 2.41/2.51 [186]~P1(x1862)+~P1(x1861)+E(f37(x1861,x1862),f37(x1862,x1861))
% 2.41/2.51 [187]~P1(x1872)+~P1(x1871)+E(f44(x1871,x1872),f44(x1872,x1871))
% 2.41/2.51 [194]~P1(x1942)+~P1(x1941)+P1(f37(x1941,x1942))
% 2.41/2.51 [195]~P1(x1952)+~P1(x1951)+P1(f44(x1951,x1952))
% 2.41/2.51 [196]~P4(x1962)+~P4(x1961)+P4(f54(x1961,x1962))
% 2.41/2.51 [197]~P4(x1972)+~P4(x1971)+P4(f52(x1971,x1972))
% 2.41/2.51 [203]~P1(x2032)+~E(f44(a57,x2032),x2031)+P5(x2031,f53(a57))
% 2.41/2.51 [205]~P1(x2052)+~E(f44(a59,x2052),x2051)+P5(x2051,f53(a59))
% 2.41/2.51 [230]~P1(x2301)+~P5(x2302,a58)+P5(f44(x2301,x2302),a58)
% 2.41/2.51 [249]~P5(x2491,a58)+~P5(x2492,a58)+P5(f37(x2491,x2492),a58)
% 2.41/2.51 [223]~P1(x2231)+~P8(x2231,a57)+~P8(x2231,a59)+P8(x2231,a60)
% 2.41/2.51 [224]~P1(x2241)+~P8(x2241,a57)+~P2(x2241,a59)+P8(x2241,a60)
% 2.41/2.51 [190]~P3(x1901)+P4(x1901)+P5(f4(x1901),x1901)+P1(f3(x1901))
% 2.41/2.51 [219]~P1(x2191)+~P8(x2191,a57)+~P8(x2191,a59)+P1(f18(x2191))
% 2.41/2.51 [220]~P1(x2201)+~P8(x2201,a57)+~P2(x2201,a59)+P1(f18(x2201))
% 2.41/2.51 [235]~P1(x2351)+~P8(x2351,a57)+~P8(x2351,a59)+E(f44(x2351,f18(x2351)),a60)
% 2.41/2.51 [236]~P1(x2361)+~P8(x2361,a57)+~P2(x2361,a59)+E(f44(x2361,f18(x2361)),a60)
% 2.41/2.51 [269]~P3(x2691)+P4(x2691)+P1(f3(x2691))+~P5(f37(f46(x2691),f4(x2691)),x2691)
% 2.41/2.51 [272]~P3(x2721)+P4(x2721)+P5(f4(x2721),x2721)+~P5(f44(f3(x2721),f46(x2721)),x2721)
% 2.41/2.51 [281]~P3(x2811)+P4(x2811)+~P5(f37(f46(x2811),f4(x2811)),x2811)+~P5(f44(f3(x2811),f46(x2811)),x2811)
% 2.41/2.51 [215]~P1(x2152)+~P1(x2151)+~P8(x2151,x2152)+P2(x2151,x2152)
% 2.41/2.51 [252]~P1(x2522)+~P1(x2521)+~P10(x2521,x2522)+P6(a56,x2521,x2522)
% 2.41/2.51 [261]~P1(x2612)+~P1(x2611)+P10(x2611,x2612)+~P6(a56,x2611,x2612)
% 2.41/2.51 [206]~P1(x2061)+~P1(x2062)+E(x2061,a1)+P1(f5(x2062,x2061))
% 2.41/2.51 [207]~P1(x2071)+~P1(x2072)+E(x2071,a1)+P1(f8(x2072,x2071))
% 2.41/2.51 [225]~P1(x2252)+~P2(x2251,a57)+P1(f18(x2251))+~E(f44(x2251,x2252),a59)
% 2.41/2.51 [229]~P1(x2292)+~P2(x2291,a57)+P8(x2291,a60)+~E(f44(x2291,x2292),a59)
% 2.41/2.51 [231]~P1(x2312)+~P1(x2311)+~P8(x2311,x2312)+P1(f9(x2311,x2312))
% 2.41/2.51 [240]~P1(x2402)+~P2(x2401,a57)+~E(f44(x2401,x2402),a59)+E(f44(x2401,f18(x2401)),a60)
% 2.41/2.51 [248]~P1(x2482)+~P1(x2481)+~P8(x2481,x2482)+E(f44(x2481,f9(x2481,x2482)),x2482)
% 2.41/2.51 [274]~P1(x2741)+~P1(x2742)+E(x2741,a1)+E(f37(f44(f5(x2742,x2741),x2741),f8(x2742,x2741)),x2742)
% 2.41/2.51 [263]~P1(x2632)+~P6(x2631,x2633,x2632)+P2(x2631,x2632)+~P1(x2633)
% 2.41/2.51 [264]~P1(x2642)+~P6(x2641,x2642,x2643)+P2(x2641,x2642)+~P1(x2643)
% 2.41/2.51 [188]~P3(x1883)+~P3(x1882)+P3(x1881)+~E(x1881,f54(x1882,x1883))
% 2.41/2.51 [189]~P3(x1893)+~P3(x1892)+P3(x1891)+~E(x1891,f52(x1892,x1893))
% 2.41/2.51 [243]~P1(x2431)+~P4(x2433)+~P5(x2432,x2433)+P5(f44(x2431,x2432),x2433)
% 2.41/2.51 [254]P5(x2541,a58)+~E(f37(x2542,x2543),x2541)+~P5(x2543,f53(a59))+~P5(x2542,f53(a57))
% 2.41/2.51 [255]~P4(x2553)+~P5(x2551,x2553)+~P5(x2552,x2553)+P5(f37(x2551,x2552),x2553)
% 2.41/2.51 [276]~P1(x2761)+~P5(x2763,x2762)+~E(x2762,f53(x2761))+P1(f12(x2761,x2762,x2763))
% 2.41/2.51 [258]~P1(x2583)+~P1(x2582)+~P1(x2581)+E(f37(f37(x2581,x2582),x2583),f37(x2581,f37(x2582,x2583)))
% 2.41/2.51 [259]~P1(x2593)+~P1(x2592)+~P1(x2591)+E(f44(f44(x2591,x2592),x2593),f44(x2591,f44(x2592,x2593)))
% 2.41/2.51 [270]~P1(x2703)+~P1(x2702)+~P1(x2701)+E(f37(f44(x2701,x2702),f44(x2701,x2703)),f44(x2701,f37(x2702,x2703)))
% 2.41/2.51 [271]~P1(x2712)+~P1(x2713)+~P1(x2711)+E(f37(f44(x2711,x2712),f44(x2713,x2712)),f44(f37(x2711,x2713),x2712))
% 2.41/2.51 [278]~P1(x2781)+~P5(x2783,x2782)+~E(x2782,f53(x2781))+E(f44(x2781,f12(x2781,x2782,x2783)),x2783)
% 2.41/2.51 [185]~P1(x1851)+~P1(x1852)+E(x1851,a1)+E(x1852,a1)+~E(f44(x1852,x1851),a1)
% 2.41/2.51 [232]~P1(x2322)+~P1(x2321)+~P8(x2321,a59)+P1(f18(x2321))+~E(f44(x2321,x2322),a57)
% 2.41/2.51 [233]~P1(x2332)+~P1(x2331)+~P2(x2331,a59)+P1(f18(x2331))+~E(f44(x2331,x2332),a57)
% 2.41/2.51 [234]~P1(x2342)+~P1(x2341)+~P8(x2341,a57)+P1(f18(x2341))+~E(f44(x2341,x2342),a59)
% 2.41/2.51 [237]~P1(x2372)+~P1(x2371)+~P8(x2371,a59)+P8(x2371,a60)+~E(f44(x2371,x2372),a57)
% 2.41/2.51 [238]~P1(x2382)+~P1(x2381)+~P2(x2381,a59)+P8(x2381,a60)+~E(f44(x2381,x2382),a57)
% 2.41/2.51 [239]~P1(x2392)+~P1(x2391)+~P8(x2391,a57)+P8(x2391,a60)+~E(f44(x2391,x2392),a59)
% 2.41/2.51 [253]~P1(x2532)+~P3(x2531)+P5(f11(x2532,x2531),x2531)+E(x2531,f53(x2532))+P1(f10(x2532,x2531))
% 2.41/2.51 [256]~P3(x2562)+~P3(x2561)+E(x2561,x2562)+P5(f14(x2561,x2562),x2561)+P5(f24(x2561,x2562),x2562)
% 2.41/2.51 [266]~P3(x2662)+~P3(x2661)+E(x2661,x2662)+P5(f14(x2661,x2662),x2661)+~P5(f24(x2661,x2662),x2661)
% 2.41/2.51 [267]~P3(x2672)+~P3(x2671)+E(x2671,x2672)+P5(f24(x2671,x2672),x2672)+~P5(f14(x2671,x2672),x2672)
% 2.41/2.51 [275]~P3(x2752)+~P3(x2751)+E(x2751,x2752)+~P5(f14(x2751,x2752),x2752)+~P5(f24(x2751,x2752),x2751)
% 2.41/2.51 [245]~P1(x2452)+~P1(x2451)+~P8(x2451,a59)+~E(f44(x2451,x2452),a57)+E(f44(x2451,f18(x2451)),a60)
% 2.41/2.51 [246]~P1(x2462)+~P1(x2461)+~P2(x2461,a59)+~E(f44(x2461,x2462),a57)+E(f44(x2461,f18(x2461)),a60)
% 2.41/2.51 [247]~P1(x2472)+~P1(x2471)+~P8(x2471,a57)+~E(f44(x2471,x2472),a59)+E(f44(x2471,f18(x2471)),a60)
% 2.41/2.51 [260]~P1(x2601)+~P1(x2602)+E(x2601,a1)+P9(f45(f8(x2602,x2601)),f45(x2601))+E(f8(x2602,x2601),a1)
% 2.41/2.51 [262]~P1(x2622)+~P3(x2621)+P5(f11(x2622,x2621),x2621)+E(x2621,f53(x2622))+E(f44(x2622,f10(x2622,x2621)),f11(x2622,x2621))
% 2.41/2.51 [222]~P1(x2222)+~P1(x2221)+~P1(x2223)+P8(x2221,x2222)+~E(f44(x2221,x2223),x2222)
% 2.41/2.51 [265]E(x2651,a1)+~E(f37(x2652,x2653),x2651)+~P5(x2653,f53(a59))+~P5(x2652,f53(a57))+~P9(f45(x2651),f45(a63))
% 2.41/2.51 [277]~P1(x2772)+~P1(x2771)+~P4(x2773)+P11(x2771,x2772,x2773)+~P5(f37(x2771,f55(x2772)),x2773)
% 2.41/2.51 [279]~P1(x2792)+~P1(x2791)+~P4(x2793)+~P11(x2791,x2792,x2793)+P5(f37(x2791,f55(x2792)),x2793)
% 2.41/2.51 [226]~P1(x2263)+~P1(x2264)+P5(x2261,x2262)+~E(f44(x2263,x2264),x2261)+~E(x2262,f53(x2263))
% 2.41/2.51 [241]~P3(x2414)+~P3(x2412)+~P5(x2411,x2413)+P5(x2411,x2412)+~E(x2413,f52(x2414,x2412))
% 2.41/2.51 [242]~P3(x2424)+~P3(x2422)+~P5(x2421,x2423)+P5(x2421,x2422)+~E(x2423,f52(x2422,x2424))
% 2.41/2.51 [292]~P3(x2922)+~P3(x2921)+~P5(x2924,x2923)+~E(x2923,f54(x2921,x2922))+P5(f35(x2921,x2922,x2923,x2924),x2921)
% 2.41/2.51 [293]~P3(x2932)+~P3(x2931)+~P5(x2934,x2933)+~E(x2933,f54(x2931,x2932))+P5(f48(x2931,x2932,x2933,x2934),x2932)
% 2.41/2.51 [300]~P3(x3002)+~P3(x3001)+~P5(x3004,x3003)+~E(x3003,f54(x3001,x3002))+E(f37(f35(x3001,x3002,x3003,x3004),f48(x3001,x3002,x3003,x3004)),x3004)
% 2.41/2.51 [244]~P1(x2442)+~P1(x2443)+~P1(x2441)+P1(f18(x2441))+~E(f44(x2441,x2442),a57)+~E(f44(x2441,x2443),a59)
% 2.41/2.51 [250]~P1(x2502)+~P1(x2503)+~P1(x2501)+P8(x2501,a60)+~E(f44(x2501,x2502),a57)+~E(f44(x2501,x2503),a59)
% 2.41/2.51 [273]~P1(x2733)+~P1(x2732)+~P3(x2731)+~P5(f11(x2732,x2731),x2731)+~E(f11(x2732,x2731),f44(x2732,x2733))+E(x2731,f53(x2732))
% 2.41/2.51 [282]~P1(x2823)+~P1(x2822)+~P2(x2821,x2823)+~P2(x2821,x2822)+P6(x2821,x2822,x2823)+P2(f13(x2822,x2823,x2821),x2823)
% 2.41/2.51 [283]~P1(x2833)+~P1(x2832)+~P2(x2831,x2833)+~P2(x2831,x2832)+P6(x2831,x2832,x2833)+P2(f13(x2832,x2833,x2831),x2832)
% 2.41/2.51 [284]~P3(x2841)+~P3(x2843)+~P3(x2842)+P5(f47(x2842,x2843,x2841),x2841)+P5(f49(x2842,x2843,x2841),x2842)+E(x2841,f54(x2842,x2843))
% 2.41/2.51 [285]~P3(x2851)+~P3(x2853)+~P3(x2852)+P5(f47(x2852,x2853,x2851),x2851)+P5(f50(x2852,x2853,x2851),x2853)+E(x2851,f54(x2852,x2853))
% 2.41/2.51 [286]~P3(x2861)+~P3(x2863)+~P3(x2862)+P5(f51(x2862,x2863,x2861),x2861)+P5(f51(x2862,x2863,x2861),x2863)+E(x2861,f52(x2862,x2863))
% 2.41/2.51 [287]~P3(x2871)+~P3(x2873)+~P3(x2872)+P5(f51(x2872,x2873,x2871),x2871)+P5(f51(x2872,x2873,x2871),x2872)+E(x2871,f52(x2872,x2873))
% 2.41/2.51 [288]~P1(x2883)+~P1(x2882)+~P2(x2881,x2883)+~P2(x2881,x2882)+P6(x2881,x2882,x2883)+~P8(f13(x2882,x2883,x2881),x2881)
% 2.41/2.51 [251]~P1(x2512)+~P1(x2513)+~P1(x2511)+~E(f44(x2511,x2512),a57)+~E(f44(x2511,x2513),a59)+E(f44(x2511,f18(x2511)),a60)
% 2.41/2.51 [290]~P3(x2901)+~P3(x2903)+~P3(x2902)+P5(f47(x2902,x2903,x2901),x2901)+E(x2901,f54(x2902,x2903))+E(f37(f49(x2902,x2903,x2901),f50(x2902,x2903,x2901)),f47(x2902,x2903,x2901))
% 2.41/2.51 [280]~P2(x2801,x2803)+~P2(x2801,x2804)+~P6(x2802,x2804,x2803)+P8(x2801,x2802)+~P1(x2803)+~P1(x2804)
% 2.41/2.51 [257]~P3(x2574)+~P3(x2573)+~P5(x2571,x2574)+~P5(x2571,x2573)+P5(x2571,x2572)+~E(x2572,f52(x2573,x2574))
% 2.41/2.51 [291]~P1(x2914)+~P1(x2913)+~P4(x2912)+~P4(x2911)+P1(f6(x2911,x2912))+P1(f7(x2911,x2912,x2913,x2914))
% 2.41/2.51 [294]~P1(x2944)+~P1(x2943)+~P4(x2942)+~P4(x2941)+P11(f7(x2941,x2942,x2943,x2944),x2944,x2942)+P1(f6(x2941,x2942))
% 2.41/2.51 [295]~P1(x2954)+~P1(x2953)+~P4(x2952)+~P4(x2951)+P11(f7(x2951,x2952,x2953,x2954),x2953,x2951)+P1(f6(x2951,x2952))
% 2.41/2.51 [297]~P1(x2974)+~P1(x2973)+~P4(x2972)+~P4(x2971)+~P5(f6(x2971,x2972),f54(x2971,x2972))+P1(f7(x2971,x2972,x2973,x2974))
% 2.41/2.51 [298]~P1(x2984)+~P1(x2983)+~P4(x2982)+~P4(x2981)+P11(f7(x2981,x2982,x2983,x2984),x2984,x2982)+~P5(f6(x2981,x2982),f54(x2981,x2982))
% 2.41/2.51 [299]~P1(x2994)+~P1(x2993)+~P4(x2992)+~P4(x2991)+P11(f7(x2991,x2992,x2993,x2994),x2993,x2991)+~P5(f6(x2991,x2992),f54(x2991,x2992))
% 2.41/2.51 [296]~P3(x2961)+~P3(x2963)+~P3(x2962)+~P5(f51(x2962,x2963,x2961),x2961)+~P5(f51(x2962,x2963,x2961),x2963)+~P5(f51(x2962,x2963,x2961),x2962)+E(x2961,f52(x2962,x2963))
% 2.41/2.51 [268]~P3(x2684)+~P3(x2683)+~P5(x2686,x2684)+~P5(x2685,x2683)+P5(x2681,x2682)+~E(x2682,f54(x2683,x2684))+~E(f37(x2685,x2686),x2681)
% 2.41/2.51 [289]~P3(x2891)+~P3(x2893)+~P3(x2892)+~P5(x2895,x2893)+~P5(x2894,x2892)+~P5(f47(x2892,x2893,x2891),x2891)+E(x2891,f54(x2892,x2893))+~E(f37(x2894,x2895),f47(x2892,x2893,x2891))
% 2.41/2.51 %EqnAxiom
% 2.41/2.51 [1]E(x11,x11)
% 2.41/2.51 [2]E(x22,x21)+~E(x21,x22)
% 2.41/2.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.41/2.51 [4]~E(x41,x42)+E(f37(x41,x43),f37(x42,x43))
% 2.41/2.51 [5]~E(x51,x52)+E(f37(x53,x51),f37(x53,x52))
% 2.41/2.51 [6]~E(x61,x62)+E(f54(x61,x63),f54(x62,x63))
% 2.41/2.51 [7]~E(x71,x72)+E(f54(x73,x71),f54(x73,x72))
% 2.41/2.51 [8]~E(x81,x82)+E(f48(x81,x83,x84,x85),f48(x82,x83,x84,x85))
% 2.41/2.51 [9]~E(x91,x92)+E(f48(x93,x91,x94,x95),f48(x93,x92,x94,x95))
% 2.41/2.51 [10]~E(x101,x102)+E(f48(x103,x104,x101,x105),f48(x103,x104,x102,x105))
% 2.41/2.51 [11]~E(x111,x112)+E(f48(x113,x114,x115,x111),f48(x113,x114,x115,x112))
% 2.41/2.51 [12]~E(x121,x122)+E(f35(x121,x123,x124,x125),f35(x122,x123,x124,x125))
% 2.41/2.51 [13]~E(x131,x132)+E(f35(x133,x131,x134,x135),f35(x133,x132,x134,x135))
% 2.41/2.51 [14]~E(x141,x142)+E(f35(x143,x144,x141,x145),f35(x143,x144,x142,x145))
% 2.52/2.51 [15]~E(x151,x152)+E(f35(x153,x154,x155,x151),f35(x153,x154,x155,x152))
% 2.52/2.51 [16]~E(x161,x162)+E(f44(x161,x163),f44(x162,x163))
% 2.52/2.51 [17]~E(x171,x172)+E(f44(x173,x171),f44(x173,x172))
% 2.52/2.51 [18]~E(x181,x182)+E(f46(x181),f46(x182))
% 2.52/2.51 [19]~E(x191,x192)+E(f3(x191),f3(x192))
% 2.52/2.51 [20]~E(x201,x202)+E(f47(x201,x203,x204),f47(x202,x203,x204))
% 2.52/2.51 [21]~E(x211,x212)+E(f47(x213,x211,x214),f47(x213,x212,x214))
% 2.52/2.51 [22]~E(x221,x222)+E(f47(x223,x224,x221),f47(x223,x224,x222))
% 2.52/2.51 [23]~E(x231,x232)+E(f4(x231),f4(x232))
% 2.52/2.51 [24]~E(x241,x242)+E(f18(x241),f18(x242))
% 2.52/2.51 [25]~E(x251,x252)+E(f52(x251,x253),f52(x252,x253))
% 2.52/2.51 [26]~E(x261,x262)+E(f52(x263,x261),f52(x263,x262))
% 2.52/2.51 [27]~E(x271,x272)+E(f53(x271),f53(x272))
% 2.52/2.51 [28]~E(x281,x282)+E(f45(x281),f45(x282))
% 2.52/2.51 [29]~E(x291,x292)+E(f8(x291,x293),f8(x292,x293))
% 2.52/2.51 [30]~E(x301,x302)+E(f8(x303,x301),f8(x303,x302))
% 2.52/2.51 [31]~E(x311,x312)+E(f11(x311,x313),f11(x312,x313))
% 2.52/2.52 [32]~E(x321,x322)+E(f11(x323,x321),f11(x323,x322))
% 2.52/2.52 [33]~E(x331,x332)+E(f50(x331,x333,x334),f50(x332,x333,x334))
% 2.52/2.52 [34]~E(x341,x342)+E(f50(x343,x341,x344),f50(x343,x342,x344))
% 2.52/2.52 [35]~E(x351,x352)+E(f50(x353,x354,x351),f50(x353,x354,x352))
% 2.52/2.52 [36]~E(x361,x362)+E(f21(x361),f21(x362))
% 2.52/2.52 [37]~E(x371,x372)+E(f14(x371,x373),f14(x372,x373))
% 2.52/2.52 [38]~E(x381,x382)+E(f14(x383,x381),f14(x383,x382))
% 2.52/2.52 [39]~E(x391,x392)+E(f7(x391,x393,x394,x395),f7(x392,x393,x394,x395))
% 2.52/2.52 [40]~E(x401,x402)+E(f7(x403,x401,x404,x405),f7(x403,x402,x404,x405))
% 2.52/2.52 [41]~E(x411,x412)+E(f7(x413,x414,x411,x415),f7(x413,x414,x412,x415))
% 2.52/2.52 [42]~E(x421,x422)+E(f7(x423,x424,x425,x421),f7(x423,x424,x425,x422))
% 2.52/2.52 [43]~E(x431,x432)+E(f9(x431,x433),f9(x432,x433))
% 2.52/2.52 [44]~E(x441,x442)+E(f9(x443,x441),f9(x443,x442))
% 2.52/2.52 [45]~E(x451,x452)+E(f13(x451,x453,x454),f13(x452,x453,x454))
% 2.52/2.52 [46]~E(x461,x462)+E(f13(x463,x461,x464),f13(x463,x462,x464))
% 2.52/2.52 [47]~E(x471,x472)+E(f13(x473,x474,x471),f13(x473,x474,x472))
% 2.52/2.52 [48]~E(x481,x482)+E(f24(x481,x483),f24(x482,x483))
% 2.52/2.52 [49]~E(x491,x492)+E(f24(x493,x491),f24(x493,x492))
% 2.52/2.52 [50]~E(x501,x502)+E(f29(x501),f29(x502))
% 2.52/2.52 [51]~E(x511,x512)+E(f55(x511),f55(x512))
% 2.52/2.52 [52]~E(x521,x522)+E(f6(x521,x523),f6(x522,x523))
% 2.52/2.52 [53]~E(x531,x532)+E(f6(x533,x531),f6(x533,x532))
% 2.52/2.52 [54]~E(x541,x542)+E(f20(x541),f20(x542))
% 2.52/2.52 [55]~E(x551,x552)+E(f51(x551,x553,x554),f51(x552,x553,x554))
% 2.52/2.52 [56]~E(x561,x562)+E(f51(x563,x561,x564),f51(x563,x562,x564))
% 2.52/2.52 [57]~E(x571,x572)+E(f51(x573,x574,x571),f51(x573,x574,x572))
% 2.52/2.52 [58]~E(x581,x582)+E(f17(x581),f17(x582))
% 2.52/2.52 [59]~E(x591,x592)+E(f5(x591,x593),f5(x592,x593))
% 2.52/2.52 [60]~E(x601,x602)+E(f5(x603,x601),f5(x603,x602))
% 2.52/2.52 [61]~E(x611,x612)+E(f30(x611),f30(x612))
% 2.52/2.52 [62]~E(x621,x622)+E(f10(x621,x623),f10(x622,x623))
% 2.52/2.52 [63]~E(x631,x632)+E(f10(x633,x631),f10(x633,x632))
% 2.52/2.52 [64]~E(x641,x642)+E(f19(x641),f19(x642))
% 2.52/2.52 [65]~E(x651,x652)+E(f12(x651,x653,x654),f12(x652,x653,x654))
% 2.52/2.52 [66]~E(x661,x662)+E(f12(x663,x661,x664),f12(x663,x662,x664))
% 2.52/2.52 [67]~E(x671,x672)+E(f12(x673,x674,x671),f12(x673,x674,x672))
% 2.52/2.52 [68]~E(x681,x682)+E(f49(x681,x683,x684),f49(x682,x683,x684))
% 2.52/2.52 [69]~E(x691,x692)+E(f49(x693,x691,x694),f49(x693,x692,x694))
% 2.52/2.52 [70]~E(x701,x702)+E(f49(x703,x704,x701),f49(x703,x704,x702))
% 2.52/2.52 [71]~P1(x711)+P1(x712)+~E(x711,x712)
% 2.52/2.52 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 2.52/2.52 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 2.52/2.52 [74]~P3(x741)+P3(x742)+~E(x741,x742)
% 2.52/2.52 [75]P8(x752,x753)+~E(x751,x752)+~P8(x751,x753)
% 2.52/2.52 [76]P8(x763,x762)+~E(x761,x762)+~P8(x763,x761)
% 2.52/2.52 [77]P2(x772,x773)+~E(x771,x772)+~P2(x771,x773)
% 2.52/2.52 [78]P2(x783,x782)+~E(x781,x782)+~P2(x783,x781)
% 2.52/2.52 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 2.52/2.52 [80]P11(x802,x803,x804)+~E(x801,x802)+~P11(x801,x803,x804)
% 2.52/2.52 [81]P11(x813,x812,x814)+~E(x811,x812)+~P11(x813,x811,x814)
% 2.52/2.52 [82]P11(x823,x824,x822)+~E(x821,x822)+~P11(x823,x824,x821)
% 2.52/2.52 [83]P10(x832,x833)+~E(x831,x832)+~P10(x831,x833)
% 2.52/2.52 [84]P10(x843,x842)+~E(x841,x842)+~P10(x843,x841)
% 2.52/2.52 [85]P6(x852,x853,x854)+~E(x851,x852)+~P6(x851,x853,x854)
% 2.52/2.52 [86]P6(x863,x862,x864)+~E(x861,x862)+~P6(x863,x861,x864)
% 2.52/2.52 [87]P6(x873,x874,x872)+~E(x871,x872)+~P6(x873,x874,x871)
% 2.52/2.52 [88]~P7(x881)+P7(x882)+~E(x881,x882)
% 2.52/2.52 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 2.52/2.52 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 2.52/2.52
% 2.52/2.52 %-------------------------------------------
% 2.52/2.52 cnf(301,plain,
% 2.52/2.52 (E(a28,f37(a27,a31))),
% 2.52/2.52 inference(scs_inference,[],[110,2])).
% 2.52/2.52 cnf(302,plain,
% 2.52/2.52 (~P2(a63,a59)),
% 2.52/2.52 inference(scs_inference,[],[126,110,2,178])).
% 2.52/2.52 cnf(303,plain,
% 2.52/2.52 (P9(f45(a62),f45(a63))),
% 2.52/2.52 inference(scs_inference,[],[126,153,110,2,178,168])).
% 2.52/2.52 cnf(306,plain,
% 2.52/2.52 (P5(a28,a58)),
% 2.52/2.52 inference(scs_inference,[],[126,128,153,155,110,147,143,2,178,168,77,76,73])).
% 2.52/2.52 cnf(309,plain,
% 2.52/2.52 (P8(a60,a60)),
% 2.52/2.52 inference(scs_inference,[],[126,127,128,153,154,155,110,150,145,147,143,2,178,168,77,76,73,72,3,217])).
% 2.52/2.52 cnf(311,plain,
% 2.52/2.52 (E(a62,a1)),
% 2.52/2.52 inference(scs_inference,[],[123,126,127,128,153,154,155,110,150,145,147,143,2,178,168,77,76,73,72,3,217,221])).
% 2.52/2.52 cnf(315,plain,
% 2.52/2.52 (~P6(a63,a1,a59)),
% 2.52/2.52 inference(scs_inference,[],[91,94,123,126,127,128,153,154,155,110,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263])).
% 2.52/2.52 cnf(319,plain,
% 2.52/2.52 (P8(a57,a1)),
% 2.52/2.52 inference(scs_inference,[],[91,93,94,96,101,123,126,127,128,153,154,155,110,114,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222])).
% 2.52/2.52 cnf(333,plain,
% 2.52/2.52 (E(f37(a1,a56),a56)),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,114,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164])).
% 2.52/2.52 cnf(335,plain,
% 2.52/2.52 (E(f44(a1,a1),a1)),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,114,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162])).
% 2.52/2.52 cnf(339,plain,
% 2.52/2.52 (P4(f53(a1))),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,114,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159])).
% 2.52/2.52 cnf(401,plain,
% 2.52/2.52 (E(f45(f37(a27,a31)),f45(a28))),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,114,129,130,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159,158,211,210,209,208,184,183,182,181,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28])).
% 2.52/2.52 cnf(436,plain,
% 2.52/2.52 (~P6(a63,a59,f44(a57,a16))),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,114,129,130,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159,158,211,210,209,208,184,183,182,181,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,212,173,172,171,170,87])).
% 2.52/2.52 cnf(437,plain,
% 2.52/2.52 (~P6(a63,f37(a38,a41),a1)),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,121,123,126,127,128,153,154,155,110,112,114,129,130,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159,158,211,210,209,208,184,183,182,181,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,212,173,172,171,170,87,86])).
% 2.52/2.52 cnf(440,plain,
% 2.52/2.52 (~P2(a63,f37(a38,a41))),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,109,121,123,126,127,128,153,154,155,110,111,112,114,129,130,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159,158,211,210,209,208,184,183,182,181,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,212,173,172,171,170,87,86,85,79,78])).
% 2.52/2.52 cnf(441,plain,
% 2.52/2.52 (~P8(f37(a32,a33),a59)),
% 2.52/2.52 inference(scs_inference,[],[91,92,93,94,96,101,109,121,123,126,127,128,153,154,155,110,111,112,114,129,130,150,145,147,143,2,178,168,77,76,73,72,3,217,221,264,263,215,222,192,191,169,167,166,165,164,162,161,159,158,211,210,209,208,184,183,182,181,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,212,173,172,171,170,87,86,85,79,78,75])).
% 2.52/2.52 cnf(505,plain,
% 2.52/2.52 (~P2(f37(a32,a33),a59)),
% 2.52/2.52 inference(scs_inference,[],[94,339,441,157,193])).
% 2.52/2.52 cnf(509,plain,
% 2.52/2.52 (P4(f52(f53(a1),f53(a1)))),
% 2.52/2.52 inference(scs_inference,[],[123,94,339,441,157,193,249,197])).
% 2.52/2.52 cnf(520,plain,
% 2.52/2.52 (~P2(f37(f44(a57,a26),f44(a59,a34)),a59)),
% 2.52/2.52 inference(scs_inference,[],[148,97,123,94,96,309,302,339,441,436,157,193,249,197,264,271,194,231,85,77])).
% 2.52/2.52 cnf(524,plain,
% 2.52/2.52 (P4(f54(f53(a1),f53(a1)))),
% 2.52/2.52 inference(scs_inference,[],[91,151,148,97,123,94,96,309,302,339,333,441,436,157,193,249,197,264,271,194,231,85,77,3,230,196])).
% 2.52/2.52 cnf(536,plain,
% 2.52/2.52 (~P8(f37(f44(a57,a26),f44(a59,a34)),a59)),
% 2.52/2.52 inference(scs_inference,[],[91,151,148,97,123,150,155,94,96,109,309,302,339,333,441,436,157,193,249,197,264,271,194,231,85,77,3,230,196,255,243,259,258,270,75])).
% 2.52/2.52 cnf(541,plain,
% 2.52/2.52 (~E(a56,a1)),
% 2.52/2.52 inference(scs_inference,[],[91,151,148,97,123,150,155,94,96,109,309,302,339,333,441,436,157,193,249,197,264,271,194,231,85,77,3,230,196,255,243,259,258,270,75,195,248,2])).
% 2.52/2.52 cnf(542,plain,
% 2.52/2.52 (~P6(a63,a1,f37(f44(a61,a63),a62))),
% 2.52/2.52 inference(scs_inference,[],[91,151,144,148,97,123,150,155,94,96,109,309,302,339,333,441,436,315,157,193,249,197,264,271,194,231,85,77,3,230,196,255,243,259,258,270,75,195,248,2,87])).
% 2.52/2.52 cnf(544,plain,
% 2.52/2.52 (~P2(a63,f37(f44(a61,a63),a62))),
% 2.52/2.52 inference(scs_inference,[],[91,151,144,148,97,123,150,155,94,96,109,309,302,339,333,441,436,315,157,193,249,197,264,271,194,231,85,77,3,230,196,255,243,259,258,270,75,195,248,2,87,86,78])).
% 2.52/2.52 cnf(556,plain,
% 2.52/2.52 (P7(f45(a56))),
% 2.52/2.52 inference(scs_inference,[],[91,151,144,148,97,123,150,147,155,94,92,96,108,109,309,302,339,301,333,441,436,315,157,193,249,197,264,271,194,231,85,77,3,230,196,255,243,259,258,270,75,195,248,2,87,86,78,76,74,207,206,274,185,72,160])).
% 2.52/2.52 cnf(587,plain,
% 2.52/2.52 (~P6(f37(f44(a57,a26),f44(a59,a34)),a59,a59)),
% 2.52/2.52 inference(scs_inference,[],[93,94,520,319,91,231,264])).
% 2.52/2.52 cnf(589,plain,
% 2.52/2.52 (P5(f44(a56,a63),a58)),
% 2.52/2.52 inference(scs_inference,[],[92,122,93,94,109,520,319,91,231,264,243])).
% 2.52/2.52 cnf(600,plain,
% 2.52/2.52 (P8(a1,a1)),
% 2.52/2.52 inference(scs_inference,[],[92,149,122,93,94,109,520,319,311,335,91,231,264,243,259,258,271,248,3,222])).
% 2.52/2.52 cnf(604,plain,
% 2.52/2.52 (P2(a57,a1)),
% 2.52/2.52 inference(scs_inference,[],[92,149,122,93,94,109,520,319,311,335,91,231,264,243,259,258,271,248,3,222,270,215])).
% 2.52/2.52 cnf(606,plain,
% 2.52/2.52 (E(a57,f44(a63,a36))),
% 2.52/2.52 inference(scs_inference,[],[92,120,149,122,93,94,109,520,319,311,335,91,231,264,243,259,258,271,248,3,222,270,215,2])).
% 2.52/2.52 cnf(617,plain,
% 2.52/2.52 (P1(a63)),
% 2.52/2.52 inference(scs_inference,[],[92,146,120,149,119,122,148,127,155,93,94,109,108,556,520,544,319,541,311,335,91,231,264,243,259,258,271,248,3,222,270,215,2,86,78,77,76,88,71,206,193,175])).
% 2.52/2.52 cnf(649,plain,
% 2.52/2.52 (~E(a63,a1)),
% 2.52/2.52 inference(scs_inference,[],[92,152,113,125,153,155,94,536,617,3,222,75,2])).
% 2.52/2.52 cnf(659,plain,
% 2.52/2.52 (~E(f44(a56,a63),a1)),
% 2.52/2.52 inference(scs_inference,[],[92,152,113,125,153,119,128,155,122,94,587,536,505,617,541,3,222,75,2,77,86,78,163,263,221,185])).
% 2.52/2.52 cnf(661,plain,
% 2.52/2.52 (~E(f45(a62),f45(a63))),
% 2.52/2.52 inference(scs_inference,[],[92,152,113,125,153,119,128,155,122,94,587,536,505,303,617,541,3,222,75,2,77,86,78,163,263,221,185,89])).
% 2.52/2.52 cnf(686,plain,
% 2.52/2.52 (E(f37(f44(f5(a63,a63),a63),f8(a63,a63)),a63)),
% 2.52/2.52 inference(scs_inference,[],[103,302,94,661,649,617,28,206,263,207,274])).
% 2.52/2.52 cnf(694,plain,
% 2.52/2.52 (E(a1,f44(a59,a23))),
% 2.52/2.52 inference(scs_inference,[],[93,103,116,302,155,94,661,659,589,649,617,28,206,263,207,274,221,185,222,2])).
% 2.52/2.52 cnf(697,plain,
% 2.52/2.52 (~P8(f37(f44(f5(a63,a63),a63),f8(a63,a63)),a59)),
% 2.52/2.52 inference(scs_inference,[],[93,103,116,152,112,302,155,94,661,659,589,649,617,28,206,263,207,274,221,185,222,2,3,76,75])).
% 2.52/2.52 cnf(700,plain,
% 2.52/2.52 (~P6(a63,f44(a59,a23),f37(f44(a61,a63),a62))),
% 2.52/2.52 inference(scs_inference,[],[93,103,116,152,112,302,111,117,155,94,661,659,440,589,542,649,617,28,206,263,207,274,221,185,222,2,3,76,75,78,77,86])).
% 2.52/2.52 cnf(723,plain,
% 2.52/2.52 (~E(a28,a1)),
% 2.52/2.52 inference(scs_inference,[],[93,118,154,102,115,28,222,2])).
% 2.52/2.52 cnf(726,plain,
% 2.52/2.52 (~P2(f37(f44(f5(a63,a63),a63),f8(a63,a63)),a59)),
% 2.52/2.52 inference(scs_inference,[],[93,118,154,102,115,302,600,686,694,606,28,222,2,75,3,77])).
% 2.52/2.52 cnf(727,plain,
% 2.52/2.52 (P2(a57,f44(a59,a23))),
% 2.52/2.52 inference(scs_inference,[],[93,118,154,102,115,302,600,686,694,606,604,28,222,2,75,3,77,78])).
% 2.52/2.52 cnf(751,plain,
% 2.52/2.52 (~P9(f45(a28),f45(a63))),
% 2.52/2.52 inference(scs_inference,[],[131,723,306,606,649,617,160,72,221])).
% 2.52/2.52 cnf(773,plain,
% 2.52/2.52 (P4(f53(a59))),
% 2.52/2.52 inference(scs_inference,[],[94,149,131,125,153,112,123,104,117,726,727,723,697,306,606,649,617,160,72,221,75,2,76,78,77,3,244,192,191,169,166,165,162,159])).
% 2.52/2.52 cnf(821,plain,
% 2.52/2.52 (E(f37(a28,x8211),f37(f37(a27,a31),x8211))),
% 2.52/2.52 inference(scs_inference,[],[94,138,139,149,131,125,301,153,112,123,104,117,726,727,723,697,306,606,649,617,160,72,221,75,2,76,78,77,3,244,192,191,169,166,165,162,159,173,164,158,211,208,182,181,161,167,70,69,66,63,58,53,50,47,46,44,42,41,38,37,36,34,29,25,24,22,20,19,18,17,16,15,13,8,4])).
% 2.52/2.52 cnf(883,plain,
% 2.52/2.52 (P5(f37(a28,a28),a58)),
% 2.52/2.52 inference(scs_inference,[],[94,138,139,149,131,125,301,153,112,123,104,150,117,108,509,726,727,723,697,306,606,649,617,160,72,221,75,2,76,78,77,3,244,192,191,169,166,165,162,159,173,164,158,211,208,182,181,161,167,70,69,66,63,58,53,50,47,46,44,42,41,38,37,36,34,29,25,24,22,20,19,18,17,16,15,13,8,4,212,172,171,170,210,209,184,183,197,175,194,157,68,67,65,64,62,61,60,59,57,56,55,54,52,51,49,48,45,43,40,39,35,33,32,31,30,27,26,23,21,14,12,11,10,9,7,6,5,249])).
% 2.52/2.52 cnf(927,plain,
% 2.52/2.52 ($false),
% 2.52/2.52 inference(scs_inference,[],[94,132,105,114,153,111,150,155,821,524,751,773,700,883,437,401,311,617,230,197,194,249,196,255,195,89,85,87,72,222,2]),
% 2.52/2.52 ['proof']).
% 2.52/2.52 % SZS output end Proof
% 2.52/2.52 % Total time :1.830000s
%------------------------------------------------------------------------------