TSTP Solution File: RNG123+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG123+4 : 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 : n027.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 13:48:17 EDT 2023
% Result : Theorem 0.90s 1.05s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG123+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Sun Aug 27 02:31:05 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.90/1.03 %-------------------------------------------
% 0.90/1.03 % File :CSE---1.6
% 0.90/1.03 % Problem :theBenchmark
% 0.90/1.03 % Transform :cnf
% 0.90/1.03 % Format :tptp:raw
% 0.90/1.03 % Command :java -jar mcs_scs.jar %d %s
% 0.90/1.03
% 0.90/1.03 % Result :Theorem 0.390000s
% 0.90/1.03 % Output :CNFRefutation 0.390000s
% 0.90/1.03 %-------------------------------------------
% 0.90/1.04 %------------------------------------------------------------------------------
% 0.90/1.04 % File : RNG123+4 : TPTP v8.1.2. Released v4.0.0.
% 0.90/1.04 % Domain : Ring Theory
% 0.90/1.04 % Problem : Chinese remainder theorem in a ring 07_05_03_06, 03 expansion
% 0.90/1.04 % Version : Especial.
% 0.90/1.04 % English :
% 0.90/1.04
% 0.90/1.04 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.90/1.04 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.90/1.04 % Source : [Pas08]
% 0.90/1.04 % Names : chines_07_05_03_06.03 [Pas08]
% 0.90/1.04
% 0.90/1.04 % Status : ContradictoryAxioms
% 0.90/1.04 % Rating : 0.25 v8.1.0, 0.22 v7.4.0, 0.14 v7.3.0, 0.00 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.30 v6.0.0, 0.35 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.40 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.91 v4.0.0
% 0.90/1.04 % Syntax : Number of formulae : 55 ( 5 unt; 9 def)
% 0.90/1.04 % Number of atoms : 270 ( 67 equ)
% 0.90/1.04 % Maximal formula atoms : 23 ( 4 avg)
% 0.90/1.04 % Number of connectives : 230 ( 15 ~; 14 |; 131 &)
% 0.90/1.04 % ( 17 <=>; 53 =>; 0 <=; 0 <~>)
% 0.90/1.04 % Maximal formula depth : 18 ( 6 avg)
% 0.90/1.04 % Maximal term depth : 4 ( 1 avg)
% 0.90/1.04 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 0.90/1.04 % Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% 0.90/1.04 % Number of variables : 130 ( 87 !; 43 ?)
% 0.90/1.04 % SPC : FOF_CAX_RFO_SEQ
% 0.90/1.04
% 0.90/1.04 % Comments : Problem generated by the SAD system [VLP07]
% 0.90/1.04 %------------------------------------------------------------------------------
% 0.90/1.04 fof(mElmSort,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => $true ) ).
% 0.90/1.04
% 0.90/1.04 fof(mSortsC,axiom,
% 0.90/1.04 aElement0(sz00) ).
% 0.90/1.04
% 0.90/1.04 fof(mSortsC_01,axiom,
% 0.90/1.04 aElement0(sz10) ).
% 0.90/1.04
% 0.90/1.04 fof(mSortsU,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => aElement0(smndt0(W0)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mSortsB,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => aElement0(sdtpldt0(W0,W1)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mSortsB_02,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => aElement0(sdtasdt0(W0,W1)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mAddComm,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mAddAsso,axiom,
% 0.90/1.04 ! [W0,W1,W2] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1)
% 0.90/1.04 & aElement0(W2) )
% 0.90/1.04 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mAddZero,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => ( sdtpldt0(W0,sz00) = W0
% 0.90/1.04 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mAddInvr,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.90/1.04 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mMulComm,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mMulAsso,axiom,
% 0.90/1.04 ! [W0,W1,W2] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1)
% 0.90/1.04 & aElement0(W2) )
% 0.90/1.04 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mMulUnit,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => ( sdtasdt0(W0,sz10) = W0
% 0.90/1.04 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mAMDistr,axiom,
% 0.90/1.04 ! [W0,W1,W2] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1)
% 0.90/1.04 & aElement0(W2) )
% 0.90/1.04 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.90/1.04 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mMulMnOne,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.90/1.04 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mMulZero,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.04 => ( sdtasdt0(W0,sz00) = sz00
% 0.90/1.04 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mCancel,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => ( sdtasdt0(W0,W1) = sz00
% 0.90/1.04 => ( W0 = sz00
% 0.90/1.04 | W1 = sz00 ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mUnNeZr,axiom,
% 0.90/1.04 sz10 != sz00 ).
% 0.90/1.04
% 0.90/1.04 fof(mSetSort,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aSet0(W0)
% 0.90/1.04 => $true ) ).
% 0.90/1.04
% 0.90/1.04 fof(mEOfElem,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aSet0(W0)
% 0.90/1.04 => ! [W1] :
% 0.90/1.04 ( aElementOf0(W1,W0)
% 0.90/1.04 => aElement0(W1) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mSetEq,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aSet0(W0)
% 0.90/1.04 & aSet0(W1) )
% 0.90/1.04 => ( ( ! [W2] :
% 0.90/1.04 ( aElementOf0(W2,W0)
% 0.90/1.04 => aElementOf0(W2,W1) )
% 0.90/1.04 & ! [W2] :
% 0.90/1.04 ( aElementOf0(W2,W1)
% 0.90/1.04 => aElementOf0(W2,W0) ) )
% 0.90/1.04 => W0 = W1 ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefSSum,definition,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aSet0(W0)
% 0.90/1.04 & aSet0(W1) )
% 0.90/1.04 => ! [W2] :
% 0.90/1.04 ( W2 = sdtpldt1(W0,W1)
% 0.90/1.04 <=> ( aSet0(W2)
% 0.90/1.04 & ! [W3] :
% 0.90/1.04 ( aElementOf0(W3,W2)
% 0.90/1.04 <=> ? [W4,W5] :
% 0.90/1.04 ( aElementOf0(W4,W0)
% 0.90/1.04 & aElementOf0(W5,W1)
% 0.90/1.04 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefSInt,definition,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aSet0(W0)
% 0.90/1.04 & aSet0(W1) )
% 0.90/1.04 => ! [W2] :
% 0.90/1.04 ( W2 = sdtasasdt0(W0,W1)
% 0.90/1.04 <=> ( aSet0(W2)
% 0.90/1.04 & ! [W3] :
% 0.90/1.04 ( aElementOf0(W3,W2)
% 0.90/1.04 <=> ( aElementOf0(W3,W0)
% 0.90/1.04 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefIdeal,definition,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aIdeal0(W0)
% 0.90/1.04 <=> ( aSet0(W0)
% 0.90/1.04 & ! [W1] :
% 0.90/1.04 ( aElementOf0(W1,W0)
% 0.90/1.04 => ( ! [W2] :
% 0.90/1.04 ( aElementOf0(W2,W0)
% 0.90/1.04 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 0.90/1.04 & ! [W2] :
% 0.90/1.04 ( aElement0(W2)
% 0.90/1.04 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mIdeSum,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aIdeal0(W0)
% 0.90/1.04 & aIdeal0(W1) )
% 0.90/1.04 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mIdeInt,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aIdeal0(W0)
% 0.90/1.04 & aIdeal0(W1) )
% 0.90/1.04 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefMod,definition,
% 0.90/1.04 ! [W0,W1,W2] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1)
% 0.90/1.04 & aIdeal0(W2) )
% 0.90/1.04 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.90/1.04 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mChineseRemainder,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aIdeal0(W0)
% 0.90/1.04 & aIdeal0(W1) )
% 0.90/1.04 => ( ! [W2] :
% 0.90/1.04 ( aElement0(W2)
% 0.90/1.04 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 0.90/1.04 => ! [W2,W3] :
% 0.90/1.04 ( ( aElement0(W2)
% 0.90/1.04 & aElement0(W3) )
% 0.90/1.04 => ? [W4] :
% 0.90/1.04 ( aElement0(W4)
% 0.90/1.04 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 0.90/1.04 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mNatSort,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aNaturalNumber0(W0)
% 0.90/1.04 => $true ) ).
% 0.90/1.04
% 0.90/1.04 fof(mEucSort,axiom,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & W0 != sz00 )
% 0.90/1.04 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mNatLess,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aNaturalNumber0(W0)
% 0.90/1.04 & aNaturalNumber0(W1) )
% 0.90/1.04 => ( iLess0(W0,W1)
% 0.90/1.04 => $true ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDivision,axiom,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1)
% 0.90/1.04 & W1 != sz00 )
% 0.90/1.04 => ? [W2,W3] :
% 0.90/1.04 ( aElement0(W2)
% 0.90/1.04 & aElement0(W3)
% 0.90/1.04 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 0.90/1.04 & ( W3 != sz00
% 0.90/1.04 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefDiv,definition,
% 0.90/1.04 ! [W0,W1] :
% 0.90/1.04 ( ( aElement0(W0)
% 0.90/1.04 & aElement0(W1) )
% 0.90/1.04 => ( doDivides0(W0,W1)
% 0.90/1.04 <=> ? [W2] :
% 0.90/1.04 ( aElement0(W2)
% 0.90/1.04 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 0.90/1.04
% 0.90/1.04 fof(mDefDvs,definition,
% 0.90/1.04 ! [W0] :
% 0.90/1.04 ( aElement0(W0)
% 0.90/1.05 => ! [W1] :
% 0.90/1.05 ( aDivisorOf0(W1,W0)
% 0.90/1.05 <=> ( aElement0(W1)
% 0.90/1.05 & doDivides0(W1,W0) ) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(mDefGCD,definition,
% 0.90/1.05 ! [W0,W1] :
% 0.90/1.05 ( ( aElement0(W0)
% 0.90/1.05 & aElement0(W1) )
% 0.90/1.05 => ! [W2] :
% 0.90/1.05 ( aGcdOfAnd0(W2,W0,W1)
% 0.90/1.05 <=> ( aDivisorOf0(W2,W0)
% 0.90/1.05 & aDivisorOf0(W2,W1)
% 0.90/1.05 & ! [W3] :
% 0.90/1.05 ( ( aDivisorOf0(W3,W0)
% 0.90/1.05 & aDivisorOf0(W3,W1) )
% 0.90/1.05 => doDivides0(W3,W2) ) ) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(mDefRel,definition,
% 0.90/1.05 ! [W0,W1] :
% 0.90/1.05 ( ( aElement0(W0)
% 0.90/1.05 & aElement0(W1) )
% 0.90/1.05 => ( misRelativelyPrime0(W0,W1)
% 0.90/1.05 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(mDefPrIdeal,definition,
% 0.90/1.05 ! [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 => ! [W1] :
% 0.90/1.05 ( W1 = slsdtgt0(W0)
% 0.90/1.05 <=> ( aSet0(W1)
% 0.90/1.05 & ! [W2] :
% 0.90/1.05 ( aElementOf0(W2,W1)
% 0.90/1.05 <=> ? [W3] :
% 0.90/1.05 ( aElement0(W3)
% 0.90/1.05 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(mPrIdeal,axiom,
% 0.90/1.05 ! [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 => aIdeal0(slsdtgt0(W0)) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2091,hypothesis,
% 0.90/1.05 ( aElement0(xa)
% 0.90/1.05 & aElement0(xb) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2110,hypothesis,
% 0.90/1.05 ( xa != sz00
% 0.90/1.05 | xb != sz00 ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2129,hypothesis,
% 0.90/1.05 ( aElement0(xc)
% 0.90/1.05 & ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xc,W0) = xa )
% 0.90/1.05 & doDivides0(xc,xa)
% 0.90/1.05 & aDivisorOf0(xc,xa)
% 0.90/1.05 & aElement0(xc)
% 0.90/1.05 & ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xc,W0) = xb )
% 0.90/1.05 & doDivides0(xc,xb)
% 0.90/1.05 & aDivisorOf0(xc,xb)
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( ( ( ( aElement0(W0)
% 0.90/1.05 & ( ? [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 & sdtasdt0(W0,W1) = xa )
% 0.90/1.05 | doDivides0(W0,xa) ) )
% 0.90/1.05 | aDivisorOf0(W0,xa) )
% 0.90/1.05 & ( ? [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 & sdtasdt0(W0,W1) = xb )
% 0.90/1.05 | doDivides0(W0,xb)
% 0.90/1.05 | aDivisorOf0(W0,xb) ) )
% 0.90/1.05 => ( ? [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 & sdtasdt0(W0,W1) = xc )
% 0.90/1.05 & doDivides0(W0,xc) ) )
% 0.90/1.05 & aGcdOfAnd0(xc,xa,xb) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2174,hypothesis,
% 0.90/1.05 ( aSet0(xI)
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( aElementOf0(W0,xI)
% 0.90/1.05 => ( ! [W1] :
% 0.90/1.05 ( aElementOf0(W1,xI)
% 0.90/1.05 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 0.90/1.05 & ! [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 0.90/1.05 & aIdeal0(xI)
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 <=> ? [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 & sdtasdt0(xa,W1) = W0 ) )
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xb))
% 0.90/1.05 <=> ? [W1] :
% 0.90/1.05 ( aElement0(W1)
% 0.90/1.05 & sdtasdt0(xb,W1) = W0 ) )
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( aElementOf0(W0,xI)
% 0.90/1.05 <=> ? [W1,W2] :
% 0.90/1.05 ( aElementOf0(W1,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W2,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W1,W2) = W0 ) )
% 0.90/1.05 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2203,hypothesis,
% 0.90/1.05 ( ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xa,W0) = sz00 )
% 0.90/1.05 & aElementOf0(sz00,slsdtgt0(xa))
% 0.90/1.05 & ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xa,W0) = xa )
% 0.90/1.05 & aElementOf0(xa,slsdtgt0(xa))
% 0.90/1.05 & ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xb,W0) = sz00 )
% 0.90/1.05 & aElementOf0(sz00,slsdtgt0(xb))
% 0.90/1.05 & ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xb,W0) = xb )
% 0.90/1.05 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2228,hypothesis,
% 0.90/1.05 ? [W0] :
% 0.90/1.05 ( ! [W1] :
% 0.90/1.05 ( aElementOf0(W1,slsdtgt0(xa))
% 0.90/1.05 <=> ? [W2] :
% 0.90/1.05 ( aElement0(W2)
% 0.90/1.05 & sdtasdt0(xa,W2) = W1 ) )
% 0.90/1.05 & ! [W1] :
% 0.90/1.05 ( aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 <=> ? [W2] :
% 0.90/1.05 ( aElement0(W2)
% 0.90/1.05 & sdtasdt0(xb,W2) = W1 ) )
% 0.90/1.05 & ? [W1,W2] :
% 0.90/1.05 ( aElementOf0(W1,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W2,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W1,W2) = W0 )
% 0.90/1.05 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 0.90/1.05 & W0 != sz00 ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2273,hypothesis,
% 0.90/1.05 ( ? [W0,W1] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W0,W1) = xu )
% 0.90/1.05 & aElementOf0(xu,xI)
% 0.90/1.05 & xu != sz00
% 0.90/1.05 & ! [W0] :
% 0.90/1.05 ( ( ( ? [W1,W2] :
% 0.90/1.05 ( aElementOf0(W1,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W2,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W1,W2) = W0 )
% 0.90/1.05 | aElementOf0(W0,xI) )
% 0.90/1.05 & W0 != sz00 )
% 0.90/1.05 => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2383,hypothesis,
% 0.90/1.05 ~ ( ( ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xu,W0) = xa )
% 0.90/1.05 | doDivides0(xu,xa)
% 0.90/1.05 | aDivisorOf0(xu,xa) )
% 0.90/1.05 & ( ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xu,W0) = xb )
% 0.90/1.05 | doDivides0(xu,xb)
% 0.90/1.05 | aDivisorOf0(xu,xb) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2416,hypothesis,
% 0.90/1.05 ? [W0,W1] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & aElement0(W1)
% 0.90/1.05 & xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2479,hypothesis,
% 0.90/1.05 ~ ~ ( ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xu,W0) = xa )
% 0.90/1.05 & doDivides0(xu,xa) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2612,hypothesis,
% 0.90/1.05 ~ ( ? [W0] :
% 0.90/1.05 ( aElement0(W0)
% 0.90/1.05 & sdtasdt0(xu,W0) = xb )
% 0.90/1.05 | doDivides0(xu,xb) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2666,hypothesis,
% 0.90/1.05 ( aElement0(xq)
% 0.90/1.05 & aElement0(xr)
% 0.90/1.05 & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
% 0.90/1.05 & ( xr = sz00
% 0.90/1.05 | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2673,hypothesis,
% 0.90/1.05 xr != sz00 ).
% 0.90/1.05
% 0.90/1.05 fof(m__2690,hypothesis,
% 0.90/1.05 ( ? [W0,W1] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W0,W1) = smndt0(sdtasdt0(xq,xu)) )
% 0.90/1.05 & aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2699,hypothesis,
% 0.90/1.05 ( ? [W0,W1] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W0,W1) = xb )
% 0.90/1.05 & ? [W0,W1] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W0,W1) = xb )
% 0.90/1.05 & aElementOf0(xb,xI) ) ).
% 0.90/1.05
% 0.90/1.05 fof(m__2718,hypothesis,
% 0.90/1.05 xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) ).
% 0.90/1.05
% 0.90/1.05 fof(m__,conjecture,
% 0.90/1.05 ( ? [W0,W1] :
% 0.90/1.05 ( aElementOf0(W0,slsdtgt0(xa))
% 0.90/1.05 & aElementOf0(W1,slsdtgt0(xb))
% 0.90/1.05 & sdtpldt0(W0,W1) = xr )
% 0.90/1.05 | aElementOf0(xr,xI) ) ).
% 0.90/1.05
% 0.90/1.05 %------------------------------------------------------------------------------
% 0.90/1.05 %-------------------------------------------
% 0.90/1.05 % Proof found
% 0.90/1.05 % SZS status Theorem for theBenchmark
% 0.90/1.05 % SZS output start Proof
% 0.90/1.05 %ClaNum:298(EqnAxiom:90)
% 0.90/1.05 %VarNum:913(SingletonVarNum:288)
% 0.90/1.05 %MaxLitNum:8
% 0.90/1.05 %MaxfuncDepth:3
% 0.90/1.05 %SharedTerms:119
% 0.90/1.05 %goalClause: 151 242
% 0.90/1.05 %singleGoalClaCount:1
% 0.90/1.05 [91]P1(a1)
% 0.90/1.05 [92]P1(a54)
% 0.90/1.05 [93]P1(a55)
% 0.90/1.05 [94]P1(a57)
% 0.90/1.05 [96]P1(a58)
% 0.90/1.05 [97]P1(a59)
% 0.90/1.05 [98]P1(a60)
% 0.90/1.05 [99]P1(a2)
% 0.90/1.05 [100]P1(a15)
% 0.90/1.05 [101]P1(a16)
% 0.90/1.05 [102]P1(a22)
% 0.90/1.05 [103]P1(a23)
% 0.90/1.05 [104]P1(a25)
% 0.90/1.05 [105]P1(a26)
% 0.90/1.05 [106]P1(a34)
% 0.90/1.05 [107]P1(a36)
% 0.90/1.05 [108]P3(a56)
% 0.90/1.05 [109]P4(a56)
% 0.90/1.05 [120]P5(a57,a56)
% 0.90/1.05 [121]P5(a61,a56)
% 0.90/1.05 [122]P8(a58,a55)
% 0.90/1.05 [123]P8(a58,a57)
% 0.90/1.05 [124]P8(a61,a55)
% 0.90/1.05 [125]P2(a58,a55)
% 0.90/1.05 [126]P2(a58,a57)
% 0.90/1.05 [142]P6(a58,a55,a57)
% 0.90/1.05 [147]~E(a1,a54)
% 0.90/1.05 [148]~E(a1,a61)
% 0.90/1.05 [149]~E(a1,a60)
% 0.90/1.05 [150]~E(a1,a28)
% 0.90/1.05 [151]~P5(a60,a56)
% 0.90/1.05 [152]~P8(a61,a57)
% 0.90/1.05 [110]E(f37(a27,a31),a28)
% 0.90/1.05 [111]E(f37(a32,a33),a61)
% 0.90/1.05 [112]E(f37(a38,a41),a57)
% 0.90/1.05 [113]E(f42(a55,a16),a1)
% 0.90/1.05 [114]E(f42(a55,a22),a55)
% 0.90/1.05 [115]E(f42(a57,a23),a1)
% 0.90/1.05 [116]E(f42(a57,a25),a57)
% 0.90/1.05 [117]E(f42(a58,a2),a55)
% 0.90/1.05 [118]E(f42(a58,a15),a57)
% 0.90/1.05 [119]E(f42(a61,a36),a55)
% 0.90/1.05 [127]P5(a1,f51(a55))
% 0.90/1.05 [128]P5(a1,f51(a57))
% 0.90/1.05 [129]P5(a55,f51(a55))
% 0.90/1.05 [130]P5(a57,f51(a57))
% 0.90/1.05 [131]P5(a27,f51(a55))
% 0.90/1.05 [132]P5(a31,f51(a57))
% 0.90/1.05 [133]P5(a32,f51(a55))
% 0.90/1.05 [134]P5(a33,f51(a57))
% 0.90/1.05 [135]P5(a39,f51(a55))
% 0.90/1.05 [136]P5(a40,f51(a57))
% 0.90/1.05 [137]P5(a38,f51(a55))
% 0.90/1.05 [138]P5(a41,f51(a57))
% 0.90/1.05 [139]E(f52(f51(a55),f51(a57)),a56)
% 0.90/1.05 [140]E(f37(f42(a59,a61),a60),a57)
% 0.90/1.05 [141]E(f53(f42(a59,a61)),f37(a39,a40))
% 0.90/1.05 [143]P5(a28,f52(f51(a55),f51(a57)))
% 0.90/1.05 [144]E(f37(f42(a55,a26),f42(a57,a34)),a61)
% 0.90/1.05 [146]P5(f53(f42(a59,a61)),a56)
% 0.90/1.05 [145]E(f37(f53(f42(a59,a61)),a57),a60)
% 0.90/1.05 [153]~E(a1,a55)+~E(a1,a57)
% 0.90/1.05 [175]~P8(a61,a55)+~P2(a61,a57)
% 0.90/1.05 [177]~P2(a61,a55)+~P2(a61,a57)
% 0.90/1.05 [165]E(a1,a60)+P9(f43(a60),f43(a61))
% 0.90/1.05 [154]~P4(x1541)+P3(x1541)
% 0.90/1.05 [155]~P1(x1551)+P1(f53(x1551))
% 0.90/1.05 [156]~P1(x1561)+P4(f51(x1561))
% 0.90/1.05 [158]~P1(x1581)+E(f42(a1,x1581),a1)
% 0.90/1.05 [159]~P1(x1591)+E(f42(x1591,a1),a1)
% 0.90/1.05 [161]~P1(x1611)+E(f37(a1,x1611),x1611)
% 0.90/1.05 [162]~P1(x1621)+E(f42(a54,x1621),x1621)
% 0.90/1.05 [163]~P1(x1631)+E(f37(x1631,a1),x1631)
% 0.90/1.05 [164]~P1(x1641)+E(f42(x1641,a54),x1641)
% 0.90/1.05 [166]~P1(x1661)+~E(f42(a61,x1661),a57)
% 0.90/1.05 [178]~P5(x1781,f51(a55))+P1(f17(x1781))
% 0.90/1.05 [179]~P5(x1791,f51(a57))+P1(f19(x1791))
% 0.90/1.05 [180]~P5(x1801,f51(a55))+P1(f29(x1801))
% 0.90/1.05 [181]~P5(x1811,f51(a57))+P1(f30(x1811))
% 0.90/1.05 [188]~P5(x1881,a56)+P5(f20(x1881),f51(a55))
% 0.90/1.05 [189]~P5(x1891,a56)+P5(f21(x1891),f51(a57))
% 0.90/1.05 [167]~P1(x1671)+E(f37(f53(x1671),x1671),a1)
% 0.90/1.05 [168]~P1(x1681)+E(f37(x1681,f53(x1681)),a1)
% 0.90/1.05 [169]~P1(x1691)+E(f42(x1691,f53(a54)),f53(x1691))
% 0.90/1.05 [170]~P1(x1701)+E(f42(f53(a54),x1701),f53(x1701))
% 0.90/1.05 [205]~P5(x2051,f51(a55))+E(f42(a55,f17(x2051)),x2051)
% 0.90/1.05 [206]~P5(x2061,f51(a55))+E(f42(a55,f29(x2061)),x2061)
% 0.90/1.05 [207]~P5(x2071,f51(a57))+E(f42(a57,f19(x2071)),x2071)
% 0.90/1.05 [208]~P5(x2081,f51(a57))+E(f42(a57,f30(x2081)),x2081)
% 0.90/1.05 [209]~P5(x2091,a56)+E(f37(f20(x2091),f21(x2091)),x2091)
% 0.90/1.05 [213]~P8(x2131,a57)+~P2(x2131,a55)+P8(x2131,a58)
% 0.90/1.05 [214]~P2(x2141,a55)+~P2(x2141,a57)+P8(x2141,a58)
% 0.90/1.05 [157]~P1(x1571)+E(x1571,a1)+P7(f43(x1571))
% 0.90/1.05 [171]~P3(x1711)+P4(x1711)+P5(f44(x1711),x1711)
% 0.90/1.05 [196]~P1(x1961)+~P2(a61,a57)+~E(f42(a61,x1961),a55)
% 0.90/1.05 [210]~P8(x2101,a57)+~P2(x2101,a55)+P1(f18(x2101))
% 0.90/1.05 [211]~P2(x2111,a55)+~P2(x2111,a57)+P1(f18(x2111))
% 0.90/1.05 [218]~P5(x2181,a56)+E(x2181,a1)+~P9(f43(x2181),f43(a61))
% 0.90/1.05 [224]~P8(x2241,a57)+~P2(x2241,a55)+E(f42(x2241,f18(x2241)),a58)
% 0.90/1.05 [225]~P2(x2251,a55)+~P2(x2251,a57)+E(f42(x2251,f18(x2251)),a58)
% 0.90/1.05 [172]~P5(x1721,x1722)+P1(x1721)+~P3(x1722)
% 0.90/1.05 [173]~P2(x1731,x1732)+P1(x1731)+~P1(x1732)
% 0.90/1.05 [190]~P1(x1902)+~P2(x1901,x1902)+P8(x1901,x1902)
% 0.90/1.06 [160]~P1(x1602)+P3(x1601)+~E(x1601,f51(x1602))
% 0.90/1.06 [183]~P1(x1832)+~P1(x1831)+E(f37(x1831,x1832),f37(x1832,x1831))
% 0.90/1.06 [184]~P1(x1842)+~P1(x1841)+E(f42(x1841,x1842),f42(x1842,x1841))
% 0.90/1.06 [191]~P1(x1912)+~P1(x1911)+P1(f37(x1911,x1912))
% 0.90/1.06 [192]~P1(x1922)+~P1(x1921)+P1(f42(x1921,x1922))
% 0.90/1.06 [193]~P4(x1932)+~P4(x1931)+P4(f52(x1931,x1932))
% 0.90/1.06 [194]~P4(x1942)+~P4(x1941)+P4(f50(x1941,x1942))
% 0.90/1.06 [200]~P1(x2002)+~E(f42(a55,x2002),x2001)+P5(x2001,f51(a55))
% 0.90/1.06 [202]~P1(x2022)+~E(f42(a57,x2022),x2021)+P5(x2021,f51(a57))
% 0.90/1.06 [227]~P1(x2271)+~P5(x2272,a56)+P5(f42(x2271,x2272),a56)
% 0.90/1.06 [242]~P5(x2422,f51(a57))+~P5(x2421,f51(a55))+~E(f37(x2421,x2422),a60)
% 0.90/1.06 [247]~P5(x2471,a56)+~P5(x2472,a56)+P5(f37(x2471,x2472),a56)
% 0.90/1.06 [220]~P1(x2201)+~P8(x2201,a55)+~P8(x2201,a57)+P8(x2201,a58)
% 0.90/1.06 [221]~P1(x2211)+~P8(x2211,a55)+~P2(x2211,a57)+P8(x2211,a58)
% 0.90/1.06 [187]~P3(x1871)+P4(x1871)+P5(f4(x1871),x1871)+P1(f3(x1871))
% 0.90/1.06 [216]~P1(x2161)+~P8(x2161,a55)+~P8(x2161,a57)+P1(f18(x2161))
% 0.90/1.06 [217]~P1(x2171)+~P8(x2171,a55)+~P2(x2171,a57)+P1(f18(x2171))
% 0.90/1.06 [232]~P1(x2321)+~P8(x2321,a55)+~P8(x2321,a57)+E(f42(x2321,f18(x2321)),a58)
% 0.90/1.06 [233]~P1(x2331)+~P8(x2331,a55)+~P2(x2331,a57)+E(f42(x2331,f18(x2331)),a58)
% 0.90/1.06 [267]~P3(x2671)+P4(x2671)+P1(f3(x2671))+~P5(f37(f44(x2671),f4(x2671)),x2671)
% 0.90/1.06 [270]~P3(x2701)+P4(x2701)+P5(f4(x2701),x2701)+~P5(f42(f3(x2701),f44(x2701)),x2701)
% 0.90/1.06 [279]~P3(x2791)+P4(x2791)+~P5(f37(f44(x2791),f4(x2791)),x2791)+~P5(f42(f3(x2791),f44(x2791)),x2791)
% 0.90/1.06 [212]~P1(x2122)+~P1(x2121)+~P8(x2121,x2122)+P2(x2121,x2122)
% 0.90/1.06 [250]~P1(x2502)+~P1(x2501)+~P10(x2501,x2502)+P6(a54,x2501,x2502)
% 0.90/1.06 [259]~P1(x2592)+~P1(x2591)+P10(x2591,x2592)+~P6(a54,x2591,x2592)
% 0.90/1.06 [203]~P1(x2031)+~P1(x2032)+E(x2031,a1)+P1(f5(x2032,x2031))
% 0.90/1.06 [204]~P1(x2041)+~P1(x2042)+E(x2041,a1)+P1(f8(x2042,x2041))
% 0.90/1.06 [222]~P1(x2222)+~P2(x2221,a55)+P1(f18(x2221))+~E(f42(x2221,x2222),a57)
% 0.90/1.06 [226]~P1(x2262)+~P2(x2261,a55)+P8(x2261,a58)+~E(f42(x2261,x2262),a57)
% 0.90/1.06 [228]~P1(x2282)+~P1(x2281)+~P8(x2281,x2282)+P1(f9(x2281,x2282))
% 0.90/1.06 [237]~P1(x2372)+~P2(x2371,a55)+~E(f42(x2371,x2372),a57)+E(f42(x2371,f18(x2371)),a58)
% 0.90/1.06 [246]~P1(x2462)+~P1(x2461)+~P8(x2461,x2462)+E(f42(x2461,f9(x2461,x2462)),x2462)
% 0.90/1.06 [272]~P1(x2721)+~P1(x2722)+E(x2721,a1)+E(f37(f42(f5(x2722,x2721),x2721),f8(x2722,x2721)),x2722)
% 0.90/1.06 [261]~P1(x2612)+~P6(x2611,x2613,x2612)+P2(x2611,x2612)+~P1(x2613)
% 0.90/1.06 [262]~P1(x2622)+~P6(x2621,x2622,x2623)+P2(x2621,x2622)+~P1(x2623)
% 0.90/1.06 [185]~P3(x1853)+~P3(x1852)+P3(x1851)+~E(x1851,f52(x1852,x1853))
% 0.90/1.06 [186]~P3(x1863)+~P3(x1862)+P3(x1861)+~E(x1861,f50(x1862,x1863))
% 0.90/1.06 [240]~P1(x2401)+~P4(x2403)+~P5(x2402,x2403)+P5(f42(x2401,x2402),x2403)
% 0.90/1.06 [252]P5(x2521,a56)+~E(f37(x2522,x2523),x2521)+~P5(x2523,f51(a57))+~P5(x2522,f51(a55))
% 0.90/1.06 [253]~P4(x2533)+~P5(x2531,x2533)+~P5(x2532,x2533)+P5(f37(x2531,x2532),x2533)
% 0.90/1.06 [274]~P1(x2741)+~P5(x2743,x2742)+~E(x2742,f51(x2741))+P1(f12(x2741,x2742,x2743))
% 0.90/1.06 [256]~P1(x2563)+~P1(x2562)+~P1(x2561)+E(f37(f37(x2561,x2562),x2563),f37(x2561,f37(x2562,x2563)))
% 0.90/1.06 [257]~P1(x2573)+~P1(x2572)+~P1(x2571)+E(f42(f42(x2571,x2572),x2573),f42(x2571,f42(x2572,x2573)))
% 0.90/1.06 [268]~P1(x2683)+~P1(x2682)+~P1(x2681)+E(f37(f42(x2681,x2682),f42(x2681,x2683)),f42(x2681,f37(x2682,x2683)))
% 0.90/1.06 [269]~P1(x2692)+~P1(x2693)+~P1(x2691)+E(f37(f42(x2691,x2692),f42(x2693,x2692)),f42(f37(x2691,x2693),x2692))
% 0.90/1.06 [276]~P1(x2761)+~P5(x2763,x2762)+~E(x2762,f51(x2761))+E(f42(x2761,f12(x2761,x2762,x2763)),x2763)
% 0.90/1.06 [182]~P1(x1821)+~P1(x1822)+E(x1821,a1)+E(x1822,a1)+~E(f42(x1822,x1821),a1)
% 0.90/1.06 [229]~P1(x2292)+~P1(x2291)+~P8(x2291,a57)+P1(f18(x2291))+~E(f42(x2291,x2292),a55)
% 0.90/1.06 [230]~P1(x2302)+~P1(x2301)+~P2(x2301,a57)+P1(f18(x2301))+~E(f42(x2301,x2302),a55)
% 0.90/1.06 [231]~P1(x2312)+~P1(x2311)+~P8(x2311,a55)+P1(f18(x2311))+~E(f42(x2311,x2312),a57)
% 0.90/1.06 [234]~P1(x2342)+~P1(x2341)+~P8(x2341,a57)+P8(x2341,a58)+~E(f42(x2341,x2342),a55)
% 0.90/1.06 [235]~P1(x2352)+~P1(x2351)+~P2(x2351,a57)+P8(x2351,a58)+~E(f42(x2351,x2352),a55)
% 0.90/1.06 [236]~P1(x2362)+~P1(x2361)+~P8(x2361,a55)+P8(x2361,a58)+~E(f42(x2361,x2362),a57)
% 0.90/1.06 [251]~P1(x2512)+~P3(x2511)+P5(f11(x2512,x2511),x2511)+E(x2511,f51(x2512))+P1(f10(x2512,x2511))
% 0.90/1.06 [254]~P3(x2542)+~P3(x2541)+E(x2541,x2542)+P5(f14(x2541,x2542),x2541)+P5(f24(x2541,x2542),x2542)
% 0.90/1.06 [264]~P3(x2642)+~P3(x2641)+E(x2641,x2642)+P5(f14(x2641,x2642),x2641)+~P5(f24(x2641,x2642),x2641)
% 0.90/1.06 [265]~P3(x2652)+~P3(x2651)+E(x2651,x2652)+P5(f24(x2651,x2652),x2652)+~P5(f14(x2651,x2652),x2652)
% 0.90/1.06 [273]~P3(x2732)+~P3(x2731)+E(x2731,x2732)+~P5(f14(x2731,x2732),x2732)+~P5(f24(x2731,x2732),x2731)
% 0.90/1.06 [243]~P1(x2432)+~P1(x2431)+~P8(x2431,a57)+~E(f42(x2431,x2432),a55)+E(f42(x2431,f18(x2431)),a58)
% 0.90/1.06 [244]~P1(x2442)+~P1(x2441)+~P2(x2441,a57)+~E(f42(x2441,x2442),a55)+E(f42(x2441,f18(x2441)),a58)
% 0.90/1.06 [245]~P1(x2452)+~P1(x2451)+~P8(x2451,a55)+~E(f42(x2451,x2452),a57)+E(f42(x2451,f18(x2451)),a58)
% 0.90/1.06 [258]~P1(x2581)+~P1(x2582)+E(x2581,a1)+P9(f43(f8(x2582,x2581)),f43(x2581))+E(f8(x2582,x2581),a1)
% 0.90/1.06 [260]~P1(x2602)+~P3(x2601)+P5(f11(x2602,x2601),x2601)+E(x2601,f51(x2602))+E(f42(x2602,f10(x2602,x2601)),f11(x2602,x2601))
% 0.90/1.06 [219]~P1(x2192)+~P1(x2191)+~P1(x2193)+P8(x2191,x2192)+~E(f42(x2191,x2193),x2192)
% 0.90/1.06 [263]E(x2631,a1)+~E(f37(x2632,x2633),x2631)+~P5(x2633,f51(a57))+~P5(x2632,f51(a55))+~P9(f43(x2631),f43(a61))
% 0.90/1.06 [275]~P1(x2752)+~P1(x2751)+~P4(x2753)+P11(x2751,x2752,x2753)+~P5(f37(x2751,f53(x2752)),x2753)
% 0.90/1.06 [277]~P1(x2772)+~P1(x2771)+~P4(x2773)+~P11(x2771,x2772,x2773)+P5(f37(x2771,f53(x2772)),x2773)
% 0.90/1.06 [223]~P1(x2233)+~P1(x2234)+P5(x2231,x2232)+~E(f42(x2233,x2234),x2231)+~E(x2232,f51(x2233))
% 0.90/1.06 [238]~P3(x2384)+~P3(x2382)+~P5(x2381,x2383)+P5(x2381,x2382)+~E(x2383,f50(x2384,x2382))
% 0.90/1.06 [239]~P3(x2394)+~P3(x2392)+~P5(x2391,x2393)+P5(x2391,x2392)+~E(x2393,f50(x2392,x2394))
% 0.90/1.06 [290]~P3(x2902)+~P3(x2901)+~P5(x2904,x2903)+~E(x2903,f52(x2901,x2902))+P5(f35(x2901,x2902,x2903,x2904),x2901)
% 0.90/1.06 [291]~P3(x2912)+~P3(x2911)+~P5(x2914,x2913)+~E(x2913,f52(x2911,x2912))+P5(f46(x2911,x2912,x2913,x2914),x2912)
% 0.90/1.06 [298]~P3(x2982)+~P3(x2981)+~P5(x2984,x2983)+~E(x2983,f52(x2981,x2982))+E(f37(f35(x2981,x2982,x2983,x2984),f46(x2981,x2982,x2983,x2984)),x2984)
% 0.90/1.06 [241]~P1(x2412)+~P1(x2413)+~P1(x2411)+P1(f18(x2411))+~E(f42(x2411,x2412),a55)+~E(f42(x2411,x2413),a57)
% 0.90/1.06 [248]~P1(x2482)+~P1(x2483)+~P1(x2481)+P8(x2481,a58)+~E(f42(x2481,x2482),a55)+~E(f42(x2481,x2483),a57)
% 0.90/1.06 [271]~P1(x2713)+~P1(x2712)+~P3(x2711)+~P5(f11(x2712,x2711),x2711)+~E(f11(x2712,x2711),f42(x2712,x2713))+E(x2711,f51(x2712))
% 0.90/1.06 [280]~P1(x2803)+~P1(x2802)+~P2(x2801,x2803)+~P2(x2801,x2802)+P6(x2801,x2802,x2803)+P2(f13(x2802,x2803,x2801),x2803)
% 0.90/1.06 [281]~P1(x2813)+~P1(x2812)+~P2(x2811,x2813)+~P2(x2811,x2812)+P6(x2811,x2812,x2813)+P2(f13(x2812,x2813,x2811),x2812)
% 0.90/1.06 [282]~P3(x2821)+~P3(x2823)+~P3(x2822)+P5(f45(x2822,x2823,x2821),x2821)+P5(f47(x2822,x2823,x2821),x2822)+E(x2821,f52(x2822,x2823))
% 0.90/1.06 [283]~P3(x2831)+~P3(x2833)+~P3(x2832)+P5(f45(x2832,x2833,x2831),x2831)+P5(f48(x2832,x2833,x2831),x2833)+E(x2831,f52(x2832,x2833))
% 0.90/1.06 [284]~P3(x2841)+~P3(x2843)+~P3(x2842)+P5(f49(x2842,x2843,x2841),x2841)+P5(f49(x2842,x2843,x2841),x2843)+E(x2841,f50(x2842,x2843))
% 0.90/1.06 [285]~P3(x2851)+~P3(x2853)+~P3(x2852)+P5(f49(x2852,x2853,x2851),x2851)+P5(f49(x2852,x2853,x2851),x2852)+E(x2851,f50(x2852,x2853))
% 0.90/1.06 [286]~P1(x2863)+~P1(x2862)+~P2(x2861,x2863)+~P2(x2861,x2862)+P6(x2861,x2862,x2863)+~P8(f13(x2862,x2863,x2861),x2861)
% 0.90/1.06 [249]~P1(x2492)+~P1(x2493)+~P1(x2491)+~E(f42(x2491,x2492),a55)+~E(f42(x2491,x2493),a57)+E(f42(x2491,f18(x2491)),a58)
% 0.90/1.06 [288]~P3(x2881)+~P3(x2883)+~P3(x2882)+P5(f45(x2882,x2883,x2881),x2881)+E(x2881,f52(x2882,x2883))+E(f37(f47(x2882,x2883,x2881),f48(x2882,x2883,x2881)),f45(x2882,x2883,x2881))
% 0.90/1.06 [278]~P2(x2781,x2783)+~P2(x2781,x2784)+~P6(x2782,x2784,x2783)+P8(x2781,x2782)+~P1(x2783)+~P1(x2784)
% 0.90/1.06 [255]~P3(x2554)+~P3(x2553)+~P5(x2551,x2554)+~P5(x2551,x2553)+P5(x2551,x2552)+~E(x2552,f50(x2553,x2554))
% 0.90/1.06 [289]~P1(x2894)+~P1(x2893)+~P4(x2892)+~P4(x2891)+P1(f6(x2891,x2892))+P1(f7(x2891,x2892,x2893,x2894))
% 0.90/1.06 [292]~P1(x2924)+~P1(x2923)+~P4(x2922)+~P4(x2921)+P11(f7(x2921,x2922,x2923,x2924),x2924,x2922)+P1(f6(x2921,x2922))
% 0.90/1.06 [293]~P1(x2934)+~P1(x2933)+~P4(x2932)+~P4(x2931)+P11(f7(x2931,x2932,x2933,x2934),x2933,x2931)+P1(f6(x2931,x2932))
% 0.90/1.06 [295]~P1(x2954)+~P1(x2953)+~P4(x2952)+~P4(x2951)+~P5(f6(x2951,x2952),f52(x2951,x2952))+P1(f7(x2951,x2952,x2953,x2954))
% 0.90/1.06 [296]~P1(x2964)+~P1(x2963)+~P4(x2962)+~P4(x2961)+P11(f7(x2961,x2962,x2963,x2964),x2964,x2962)+~P5(f6(x2961,x2962),f52(x2961,x2962))
% 0.90/1.06 [297]~P1(x2974)+~P1(x2973)+~P4(x2972)+~P4(x2971)+P11(f7(x2971,x2972,x2973,x2974),x2973,x2971)+~P5(f6(x2971,x2972),f52(x2971,x2972))
% 0.90/1.06 [294]~P3(x2941)+~P3(x2943)+~P3(x2942)+~P5(f49(x2942,x2943,x2941),x2941)+~P5(f49(x2942,x2943,x2941),x2943)+~P5(f49(x2942,x2943,x2941),x2942)+E(x2941,f50(x2942,x2943))
% 0.90/1.06 [266]~P3(x2664)+~P3(x2663)+~P5(x2666,x2664)+~P5(x2665,x2663)+P5(x2661,x2662)+~E(x2662,f52(x2663,x2664))+~E(f37(x2665,x2666),x2661)
% 0.90/1.06 [287]~P3(x2871)+~P3(x2873)+~P3(x2872)+~P5(x2875,x2873)+~P5(x2874,x2872)+~P5(f45(x2872,x2873,x2871),x2871)+E(x2871,f52(x2872,x2873))+~E(f37(x2874,x2875),f45(x2872,x2873,x2871))
% 0.90/1.06 %EqnAxiom
% 0.90/1.06 [1]E(x11,x11)
% 0.90/1.06 [2]E(x22,x21)+~E(x21,x22)
% 0.90/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.90/1.06 [4]~E(x41,x42)+E(f37(x41,x43),f37(x42,x43))
% 0.90/1.06 [5]~E(x51,x52)+E(f37(x53,x51),f37(x53,x52))
% 0.90/1.06 [6]~E(x61,x62)+E(f52(x61,x63),f52(x62,x63))
% 0.90/1.06 [7]~E(x71,x72)+E(f52(x73,x71),f52(x73,x72))
% 0.90/1.06 [8]~E(x81,x82)+E(f46(x81,x83,x84,x85),f46(x82,x83,x84,x85))
% 0.90/1.06 [9]~E(x91,x92)+E(f46(x93,x91,x94,x95),f46(x93,x92,x94,x95))
% 0.90/1.06 [10]~E(x101,x102)+E(f46(x103,x104,x101,x105),f46(x103,x104,x102,x105))
% 0.90/1.06 [11]~E(x111,x112)+E(f46(x113,x114,x115,x111),f46(x113,x114,x115,x112))
% 0.90/1.06 [12]~E(x121,x122)+E(f42(x121,x123),f42(x122,x123))
% 0.90/1.06 [13]~E(x131,x132)+E(f42(x133,x131),f42(x133,x132))
% 0.90/1.06 [14]~E(x141,x142)+E(f13(x141,x143,x144),f13(x142,x143,x144))
% 0.90/1.06 [15]~E(x151,x152)+E(f13(x153,x151,x154),f13(x153,x152,x154))
% 0.90/1.06 [16]~E(x161,x162)+E(f13(x163,x164,x161),f13(x163,x164,x162))
% 0.90/1.06 [17]~E(x171,x172)+E(f44(x171),f44(x172))
% 0.90/1.06 [18]~E(x181,x182)+E(f3(x181),f3(x182))
% 0.90/1.06 [19]~E(x191,x192)+E(f45(x191,x193,x194),f45(x192,x193,x194))
% 0.90/1.06 [20]~E(x201,x202)+E(f45(x203,x201,x204),f45(x203,x202,x204))
% 0.90/1.06 [21]~E(x211,x212)+E(f45(x213,x214,x211),f45(x213,x214,x212))
% 0.90/1.06 [22]~E(x221,x222)+E(f4(x221),f4(x222))
% 0.90/1.06 [23]~E(x231,x232)+E(f10(x231,x233),f10(x232,x233))
% 0.90/1.06 [24]~E(x241,x242)+E(f10(x243,x241),f10(x243,x242))
% 0.90/1.06 [25]~E(x251,x252)+E(f51(x251),f51(x252))
% 0.90/1.06 [26]~E(x261,x262)+E(f50(x261,x263),f50(x262,x263))
% 0.90/1.06 [27]~E(x271,x272)+E(f50(x273,x271),f50(x273,x272))
% 0.90/1.06 [28]~E(x281,x282)+E(f7(x281,x283,x284,x285),f7(x282,x283,x284,x285))
% 0.90/1.06 [29]~E(x291,x292)+E(f7(x293,x291,x294,x295),f7(x293,x292,x294,x295))
% 0.90/1.06 [30]~E(x301,x302)+E(f7(x303,x304,x301,x305),f7(x303,x304,x302,x305))
% 0.90/1.06 [31]~E(x311,x312)+E(f7(x313,x314,x315,x311),f7(x313,x314,x315,x312))
% 0.90/1.06 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 0.90/1.06 [33]~E(x331,x332)+E(f6(x331,x333),f6(x332,x333))
% 0.90/1.06 [34]~E(x341,x342)+E(f6(x343,x341),f6(x343,x342))
% 0.90/1.06 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 0.90/1.06 [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 0.90/1.06 [37]~E(x371,x372)+E(f48(x371,x373,x374),f48(x372,x373,x374))
% 0.90/1.06 [38]~E(x381,x382)+E(f48(x383,x381,x384),f48(x383,x382,x384))
% 0.90/1.06 [39]~E(x391,x392)+E(f48(x393,x394,x391),f48(x393,x394,x392))
% 0.90/1.06 [40]~E(x401,x402)+E(f9(x401,x403),f9(x402,x403))
% 0.90/1.06 [41]~E(x411,x412)+E(f9(x413,x411),f9(x413,x412))
% 0.90/1.06 [42]~E(x421,x422)+E(f8(x421,x423),f8(x422,x423))
% 0.90/1.06 [43]~E(x431,x432)+E(f8(x433,x431),f8(x433,x432))
% 0.90/1.06 [44]~E(x441,x442)+E(f30(x441),f30(x442))
% 0.90/1.06 [45]~E(x451,x452)+E(f43(x451),f43(x452))
% 0.90/1.06 [46]~E(x461,x462)+E(f11(x461,x463),f11(x462,x463))
% 0.90/1.06 [47]~E(x471,x472)+E(f11(x473,x471),f11(x473,x472))
% 0.90/1.06 [48]~E(x481,x482)+E(f17(x481),f17(x482))
% 0.90/1.06 [49]~E(x491,x492)+E(f49(x491,x493,x494),f49(x492,x493,x494))
% 0.90/1.06 [50]~E(x501,x502)+E(f49(x503,x501,x504),f49(x503,x502,x504))
% 0.90/1.06 [51]~E(x511,x512)+E(f49(x513,x514,x511),f49(x513,x514,x512))
% 0.90/1.06 [52]~E(x521,x522)+E(f5(x521,x523),f5(x522,x523))
% 0.90/1.06 [53]~E(x531,x532)+E(f5(x533,x531),f5(x533,x532))
% 0.90/1.06 [54]~E(x541,x542)+E(f35(x541,x543,x544,x545),f35(x542,x543,x544,x545))
% 0.90/1.06 [55]~E(x551,x552)+E(f35(x553,x551,x554,x555),f35(x553,x552,x554,x555))
% 0.90/1.06 [56]~E(x561,x562)+E(f35(x563,x564,x561,x565),f35(x563,x564,x562,x565))
% 0.90/1.06 [57]~E(x571,x572)+E(f35(x573,x574,x575,x571),f35(x573,x574,x575,x572))
% 0.90/1.06 [58]~E(x581,x582)+E(f53(x581),f53(x582))
% 0.90/1.06 [59]~E(x591,x592)+E(f47(x591,x593,x594),f47(x592,x593,x594))
% 0.90/1.06 [60]~E(x601,x602)+E(f47(x603,x601,x604),f47(x603,x602,x604))
% 0.90/1.06 [61]~E(x611,x612)+E(f47(x613,x614,x611),f47(x613,x614,x612))
% 0.90/1.06 [62]~E(x621,x622)+E(f29(x621),f29(x622))
% 0.90/1.06 [63]~E(x631,x632)+E(f14(x631,x633),f14(x632,x633))
% 0.90/1.06 [64]~E(x641,x642)+E(f14(x643,x641),f14(x643,x642))
% 0.90/1.06 [65]~E(x651,x652)+E(f24(x651,x653),f24(x652,x653))
% 0.90/1.06 [66]~E(x661,x662)+E(f24(x663,x661),f24(x663,x662))
% 0.90/1.06 [67]~E(x671,x672)+E(f12(x671,x673,x674),f12(x672,x673,x674))
% 0.90/1.06 [68]~E(x681,x682)+E(f12(x683,x681,x684),f12(x683,x682,x684))
% 0.90/1.06 [69]~E(x691,x692)+E(f12(x693,x694,x691),f12(x693,x694,x692))
% 0.90/1.06 [70]~E(x701,x702)+E(f19(x701),f19(x702))
% 0.90/1.06 [71]~P1(x711)+P1(x712)+~E(x711,x712)
% 0.90/1.06 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 0.90/1.06 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 0.90/1.06 [74]~P3(x741)+P3(x742)+~E(x741,x742)
% 0.90/1.06 [75]P2(x752,x753)+~E(x751,x752)+~P2(x751,x753)
% 0.90/1.06 [76]P2(x763,x762)+~E(x761,x762)+~P2(x763,x761)
% 0.90/1.06 [77]P8(x772,x773)+~E(x771,x772)+~P8(x771,x773)
% 0.90/1.06 [78]P8(x783,x782)+~E(x781,x782)+~P8(x783,x781)
% 0.90/1.06 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.90/1.06 [80]P11(x802,x803,x804)+~E(x801,x802)+~P11(x801,x803,x804)
% 0.90/1.06 [81]P11(x813,x812,x814)+~E(x811,x812)+~P11(x813,x811,x814)
% 0.90/1.06 [82]P11(x823,x824,x822)+~E(x821,x822)+~P11(x823,x824,x821)
% 0.90/1.06 [83]P10(x832,x833)+~E(x831,x832)+~P10(x831,x833)
% 0.90/1.06 [84]P10(x843,x842)+~E(x841,x842)+~P10(x843,x841)
% 0.90/1.06 [85]P6(x852,x853,x854)+~E(x851,x852)+~P6(x851,x853,x854)
% 0.90/1.06 [86]P6(x863,x862,x864)+~E(x861,x862)+~P6(x863,x861,x864)
% 0.90/1.06 [87]P6(x873,x874,x872)+~E(x871,x872)+~P6(x873,x874,x871)
% 0.90/1.06 [88]P9(x882,x883)+~E(x881,x882)+~P9(x881,x883)
% 0.90/1.06 [89]P9(x893,x892)+~E(x891,x892)+~P9(x893,x891)
% 0.90/1.06 [90]~P7(x901)+P7(x902)+~E(x901,x902)
% 0.90/1.06
% 0.90/1.06 %-------------------------------------------
% 0.90/1.06 cnf(300,plain,
% 0.90/1.06 (~P2(a61,a57)),
% 0.90/1.06 inference(scs_inference,[],[124,110,2,175])).
% 0.90/1.06 cnf(307,plain,
% 0.90/1.06 (P8(a58,a58)),
% 0.90/1.06 inference(scs_inference,[],[151,120,123,124,125,126,149,150,152,110,143,139,2,175,165,78,77,73,72,3,214])).
% 0.90/1.06 cnf(309,plain,
% 0.90/1.06 (~P5(f53(f42(a59,a61)),f51(a55))),
% 0.90/1.06 inference(scs_inference,[],[151,120,123,124,125,126,149,150,152,110,130,143,139,145,2,175,165,78,77,73,72,3,214,242])).
% 0.90/1.06 cnf(313,plain,
% 0.90/1.06 (~P6(a61,a1,a57)),
% 0.90/1.06 inference(scs_inference,[],[151,91,94,120,123,124,125,126,149,150,152,110,130,143,139,145,2,175,165,78,77,73,72,3,214,242,262,261])).
% 0.90/1.06 cnf(339,plain,
% 0.90/1.06 (P4(f51(a1))),
% 0.90/1.06 inference(scs_inference,[],[151,91,92,93,94,96,101,120,123,124,125,126,149,150,152,110,113,127,128,130,143,139,145,2,175,165,78,77,73,72,3,214,242,262,261,212,252,219,189,188,166,164,163,162,161,159,158,156])).
% 0.90/1.06 cnf(436,plain,
% 0.90/1.06 (~P6(a61,a57,f42(a55,a16))),
% 0.90/1.06 inference(scs_inference,[],[151,91,92,93,94,96,101,120,123,124,125,126,149,150,152,110,113,127,128,130,143,139,145,2,175,165,78,77,73,72,3,214,242,262,261,212,252,219,189,188,166,164,163,162,161,159,158,156,155,208,207,206,205,181,180,179,178,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,209,170,169,168,167,87])).
% 0.90/1.06 cnf(544,plain,
% 0.90/1.06 (P1(a61)),
% 0.90/1.06 inference(scs_inference,[],[151,129,131,132,140,97,98,139,121,146,94,96,109,108,307,300,309,339,436,154,200,247,242,262,240,257,256,269,268,192,191,246,86,73,227,194,193,253,252,172])).
% 0.90/1.06 cnf(554,plain,
% 0.90/1.06 (~P5(f37(f53(f42(a59,a61)),a57),a56)),
% 0.90/1.06 inference(scs_inference,[],[151,147,129,131,132,140,144,97,98,139,121,152,146,145,94,96,109,108,307,300,309,339,436,313,154,200,247,242,262,240,257,256,269,268,192,191,246,86,73,227,194,193,253,252,172,228,2,87,85,78,77,76,72])).
% 0.90/1.06 cnf(603,plain,
% 0.90/1.06 ($false),
% 0.90/1.06 inference(scs_inference,[],[91,99,146,94,152,109,120,554,544,240,269,268,219,247]),
% 0.90/1.06 ['proof']).
% 0.90/1.06 % SZS output end Proof
% 0.90/1.06 % Total time :0.390000s
%------------------------------------------------------------------------------