TSTP Solution File: RNG125+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG125+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 : n023.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 0.72s 0.72s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:43:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.52/0.58 start to proof:theBenchmark
% 0.56/0.70 %-------------------------------------------
% 0.56/0.70 % File :CSE---1.6
% 0.56/0.70 % Problem :theBenchmark
% 0.56/0.70 % Transform :cnf
% 0.56/0.70 % Format :tptp:raw
% 0.56/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.70
% 0.56/0.70 % Result :Theorem 0.010000s
% 0.56/0.70 % Output :CNFRefutation 0.010000s
% 0.56/0.70 %-------------------------------------------
% 0.56/0.70 %------------------------------------------------------------------------------
% 0.56/0.70 % File : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.56/0.70 % Domain : Ring Theory
% 0.56/0.70 % Problem : Chinese remainder theorem in a ring 07_05_04, 03 expansion
% 0.56/0.70 % Version : Especial.
% 0.56/0.70 % English :
% 0.56/0.70
% 0.56/0.70 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.56/0.70 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.56/0.70 % Source : [Pas08]
% 0.56/0.70 % Names : chines_07_05_04.03 [Pas08]
% 0.56/0.70
% 0.56/0.70 % Status : ContradictoryAxioms
% 0.56/0.70 % Rating : 0.08 v8.1.0, 0.06 v7.5.0, 0.03 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.1, 0.70 v4.0.0
% 0.56/0.70 % Syntax : Number of formulae : 50 ( 4 unt; 9 def)
% 0.56/0.70 % Number of atoms : 249 ( 59 equ)
% 0.56/0.70 % Maximal formula atoms : 23 ( 4 avg)
% 0.56/0.70 % Number of connectives : 214 ( 15 ~; 11 |; 118 &)
% 0.56/0.70 % ( 17 <=>; 53 =>; 0 <=; 0 <~>)
% 0.56/0.70 % Maximal formula depth : 18 ( 6 avg)
% 0.56/0.70 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.70 % Number of predicates : 14 ( 11 usr; 2 prp; 0-3 aty)
% 0.56/0.70 % Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% 0.56/0.70 % Number of variables : 122 ( 87 !; 35 ?)
% 0.56/0.70 % SPC : FOF_CAX_RFO_SEQ
% 0.56/0.70
% 0.56/0.70 % Comments : Problem generated by the SAD system [VLP07]
% 0.56/0.70 %------------------------------------------------------------------------------
% 0.56/0.70 fof(mElmSort,axiom,
% 0.56/0.70 ! [W0] :
% 0.56/0.70 ( aElement0(W0)
% 0.56/0.70 => $true ) ).
% 0.56/0.70
% 0.56/0.70 fof(mSortsC,axiom,
% 0.56/0.70 aElement0(sz00) ).
% 0.56/0.70
% 0.56/0.70 fof(mSortsC_01,axiom,
% 0.56/0.70 aElement0(sz10) ).
% 0.56/0.70
% 0.56/0.70 fof(mSortsU,axiom,
% 0.56/0.70 ! [W0] :
% 0.56/0.70 ( aElement0(W0)
% 0.56/0.70 => aElement0(smndt0(W0)) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mSortsB,axiom,
% 0.56/0.70 ! [W0,W1] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1) )
% 0.56/0.70 => aElement0(sdtpldt0(W0,W1)) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mSortsB_02,axiom,
% 0.56/0.70 ! [W0,W1] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1) )
% 0.56/0.70 => aElement0(sdtasdt0(W0,W1)) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mAddComm,axiom,
% 0.56/0.70 ! [W0,W1] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1) )
% 0.56/0.70 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mAddAsso,axiom,
% 0.56/0.70 ! [W0,W1,W2] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1)
% 0.56/0.70 & aElement0(W2) )
% 0.56/0.70 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mAddZero,axiom,
% 0.56/0.70 ! [W0] :
% 0.56/0.70 ( aElement0(W0)
% 0.56/0.70 => ( sdtpldt0(W0,sz00) = W0
% 0.56/0.70 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mAddInvr,axiom,
% 0.56/0.70 ! [W0] :
% 0.56/0.70 ( aElement0(W0)
% 0.56/0.70 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.56/0.70 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mMulComm,axiom,
% 0.56/0.70 ! [W0,W1] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1) )
% 0.56/0.70 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mMulAsso,axiom,
% 0.56/0.70 ! [W0,W1,W2] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1)
% 0.56/0.70 & aElement0(W2) )
% 0.56/0.70 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mMulUnit,axiom,
% 0.56/0.70 ! [W0] :
% 0.56/0.70 ( aElement0(W0)
% 0.56/0.70 => ( sdtasdt0(W0,sz10) = W0
% 0.56/0.70 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.56/0.70
% 0.56/0.70 fof(mAMDistr,axiom,
% 0.56/0.70 ! [W0,W1,W2] :
% 0.56/0.70 ( ( aElement0(W0)
% 0.56/0.70 & aElement0(W1)
% 0.56/0.70 & aElement0(W2) )
% 0.56/0.70 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.56/0.71 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mMulMnOne,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.56/0.71 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mMulZero,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 => ( sdtasdt0(W0,sz00) = sz00
% 0.56/0.71 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mCancel,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1) )
% 0.56/0.71 => ( sdtasdt0(W0,W1) = sz00
% 0.56/0.71 => ( W0 = sz00
% 0.56/0.71 | W1 = sz00 ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mUnNeZr,axiom,
% 0.56/0.71 sz10 != sz00 ).
% 0.56/0.71
% 0.56/0.71 fof(mSetSort,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aSet0(W0)
% 0.56/0.71 => $true ) ).
% 0.56/0.71
% 0.56/0.71 fof(mEOfElem,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aSet0(W0)
% 0.56/0.71 => ! [W1] :
% 0.56/0.71 ( aElementOf0(W1,W0)
% 0.56/0.71 => aElement0(W1) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mSetEq,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aSet0(W0)
% 0.56/0.71 & aSet0(W1) )
% 0.56/0.71 => ( ( ! [W2] :
% 0.56/0.71 ( aElementOf0(W2,W0)
% 0.56/0.71 => aElementOf0(W2,W1) )
% 0.56/0.71 & ! [W2] :
% 0.56/0.71 ( aElementOf0(W2,W1)
% 0.56/0.71 => aElementOf0(W2,W0) ) )
% 0.56/0.71 => W0 = W1 ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefSSum,definition,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aSet0(W0)
% 0.56/0.71 & aSet0(W1) )
% 0.56/0.71 => ! [W2] :
% 0.56/0.71 ( W2 = sdtpldt1(W0,W1)
% 0.56/0.71 <=> ( aSet0(W2)
% 0.56/0.71 & ! [W3] :
% 0.56/0.71 ( aElementOf0(W3,W2)
% 0.56/0.71 <=> ? [W4,W5] :
% 0.56/0.71 ( aElementOf0(W4,W0)
% 0.56/0.71 & aElementOf0(W5,W1)
% 0.56/0.71 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefSInt,definition,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aSet0(W0)
% 0.56/0.71 & aSet0(W1) )
% 0.56/0.71 => ! [W2] :
% 0.56/0.71 ( W2 = sdtasasdt0(W0,W1)
% 0.56/0.71 <=> ( aSet0(W2)
% 0.56/0.71 & ! [W3] :
% 0.56/0.71 ( aElementOf0(W3,W2)
% 0.56/0.71 <=> ( aElementOf0(W3,W0)
% 0.56/0.71 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefIdeal,definition,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aIdeal0(W0)
% 0.56/0.71 <=> ( aSet0(W0)
% 0.56/0.71 & ! [W1] :
% 0.56/0.71 ( aElementOf0(W1,W0)
% 0.56/0.71 => ( ! [W2] :
% 0.56/0.71 ( aElementOf0(W2,W0)
% 0.56/0.71 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 0.56/0.71 & ! [W2] :
% 0.56/0.71 ( aElement0(W2)
% 0.56/0.71 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mIdeSum,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aIdeal0(W0)
% 0.56/0.71 & aIdeal0(W1) )
% 0.56/0.71 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mIdeInt,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aIdeal0(W0)
% 0.56/0.71 & aIdeal0(W1) )
% 0.56/0.71 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefMod,definition,
% 0.56/0.71 ! [W0,W1,W2] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1)
% 0.56/0.71 & aIdeal0(W2) )
% 0.56/0.71 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.56/0.71 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mChineseRemainder,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aIdeal0(W0)
% 0.56/0.71 & aIdeal0(W1) )
% 0.56/0.71 => ( ! [W2] :
% 0.56/0.71 ( aElement0(W2)
% 0.56/0.71 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 0.56/0.71 => ! [W2,W3] :
% 0.56/0.71 ( ( aElement0(W2)
% 0.56/0.71 & aElement0(W3) )
% 0.56/0.71 => ? [W4] :
% 0.56/0.71 ( aElement0(W4)
% 0.56/0.71 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 0.56/0.71 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mNatSort,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aNaturalNumber0(W0)
% 0.56/0.71 => $true ) ).
% 0.56/0.71
% 0.56/0.71 fof(mEucSort,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & W0 != sz00 )
% 0.56/0.71 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mNatLess,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aNaturalNumber0(W0)
% 0.56/0.71 & aNaturalNumber0(W1) )
% 0.56/0.71 => ( iLess0(W0,W1)
% 0.56/0.71 => $true ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDivision,axiom,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1)
% 0.56/0.71 & W1 != sz00 )
% 0.56/0.71 => ? [W2,W3] :
% 0.56/0.71 ( aElement0(W2)
% 0.56/0.71 & aElement0(W3)
% 0.56/0.71 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 0.56/0.71 & ( W3 != sz00
% 0.56/0.71 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefDiv,definition,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1) )
% 0.56/0.71 => ( doDivides0(W0,W1)
% 0.56/0.71 <=> ? [W2] :
% 0.56/0.71 ( aElement0(W2)
% 0.56/0.71 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefDvs,definition,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 => ! [W1] :
% 0.56/0.71 ( aDivisorOf0(W1,W0)
% 0.56/0.71 <=> ( aElement0(W1)
% 0.56/0.71 & doDivides0(W1,W0) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefGCD,definition,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1) )
% 0.56/0.71 => ! [W2] :
% 0.56/0.71 ( aGcdOfAnd0(W2,W0,W1)
% 0.56/0.71 <=> ( aDivisorOf0(W2,W0)
% 0.56/0.71 & aDivisorOf0(W2,W1)
% 0.56/0.71 & ! [W3] :
% 0.56/0.71 ( ( aDivisorOf0(W3,W0)
% 0.56/0.71 & aDivisorOf0(W3,W1) )
% 0.56/0.71 => doDivides0(W3,W2) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefRel,definition,
% 0.56/0.71 ! [W0,W1] :
% 0.56/0.71 ( ( aElement0(W0)
% 0.56/0.71 & aElement0(W1) )
% 0.56/0.71 => ( misRelativelyPrime0(W0,W1)
% 0.56/0.71 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mDefPrIdeal,definition,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 => ! [W1] :
% 0.56/0.71 ( W1 = slsdtgt0(W0)
% 0.56/0.71 <=> ( aSet0(W1)
% 0.56/0.71 & ! [W2] :
% 0.56/0.71 ( aElementOf0(W2,W1)
% 0.56/0.71 <=> ? [W3] :
% 0.56/0.71 ( aElement0(W3)
% 0.56/0.71 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 0.56/0.71
% 0.56/0.71 fof(mPrIdeal,axiom,
% 0.56/0.71 ! [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 => aIdeal0(slsdtgt0(W0)) ) ).
% 0.56/0.71
% 0.56/0.71 fof(m__2091,hypothesis,
% 0.56/0.71 ( aElement0(xa)
% 0.56/0.71 & aElement0(xb) ) ).
% 0.56/0.71
% 0.56/0.71 fof(m__2110,hypothesis,
% 0.56/0.71 ( xa != sz00
% 0.56/0.71 | xb != sz00 ) ).
% 0.56/0.71
% 0.56/0.71 fof(m__2129,hypothesis,
% 0.56/0.71 ( aElement0(xc)
% 0.56/0.71 & ? [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 & sdtasdt0(xc,W0) = xa )
% 0.56/0.71 & doDivides0(xc,xa)
% 0.56/0.71 & aDivisorOf0(xc,xa)
% 0.56/0.71 & aElement0(xc)
% 0.56/0.71 & ? [W0] :
% 0.56/0.71 ( aElement0(W0)
% 0.56/0.71 & sdtasdt0(xc,W0) = xb )
% 0.56/0.71 & doDivides0(xc,xb)
% 0.56/0.71 & aDivisorOf0(xc,xb)
% 0.56/0.71 & ! [W0] :
% 0.56/0.71 ( ( ( ( aElement0(W0)
% 0.56/0.71 & ( ? [W1] :
% 0.56/0.71 ( aElement0(W1)
% 0.56/0.71 & sdtasdt0(W0,W1) = xa )
% 0.56/0.71 | doDivides0(W0,xa) ) )
% 0.56/0.71 | aDivisorOf0(W0,xa) )
% 0.56/0.71 & ( ? [W1] :
% 0.56/0.71 ( aElement0(W1)
% 0.56/0.71 & sdtasdt0(W0,W1) = xb )
% 0.56/0.71 | doDivides0(W0,xb)
% 0.56/0.71 | aDivisorOf0(W0,xb) ) )
% 0.56/0.71 => ( ? [W1] :
% 0.56/0.71 ( aElement0(W1)
% 0.56/0.71 & sdtasdt0(W0,W1) = xc )
% 0.56/0.71 & doDivides0(W0,xc) ) )
% 0.56/0.71 & aGcdOfAnd0(xc,xa,xb) ) ).
% 0.56/0.71
% 0.56/0.71 fof(m__2174,hypothesis,
% 0.56/0.71 ( aSet0(xI)
% 0.56/0.71 & ! [W0] :
% 0.56/0.71 ( aElementOf0(W0,xI)
% 0.56/0.71 => ( ! [W1] :
% 0.56/0.71 ( aElementOf0(W1,xI)
% 0.56/0.71 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 0.56/0.71 & ! [W1] :
% 0.56/0.71 ( aElement0(W1)
% 0.56/0.71 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 0.56/0.71 & aIdeal0(xI)
% 0.56/0.71 & ! [W0] :
% 0.56/0.71 ( aElementOf0(W0,slsdtgt0(xa))
% 0.56/0.71 <=> ? [W1] :
% 0.56/0.71 ( aElement0(W1)
% 0.56/0.71 & sdtasdt0(xa,W1) = W0 ) )
% 0.56/0.71 & ! [W0] :
% 0.56/0.71 ( aElementOf0(W0,slsdtgt0(xb))
% 0.56/0.71 <=> ? [W1] :
% 0.56/0.72 ( aElement0(W1)
% 0.56/0.72 & sdtasdt0(xb,W1) = W0 ) )
% 0.56/0.72 & ! [W0] :
% 0.56/0.72 ( aElementOf0(W0,xI)
% 0.56/0.72 <=> ? [W1,W2] :
% 0.56/0.72 ( aElementOf0(W1,slsdtgt0(xa))
% 0.56/0.72 & aElementOf0(W2,slsdtgt0(xb))
% 0.56/0.72 & sdtpldt0(W1,W2) = W0 ) )
% 0.56/0.72 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 0.56/0.72
% 0.56/0.72 fof(m__2203,hypothesis,
% 0.72/0.72 ( ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xa,W0) = sz00 )
% 0.72/0.72 & aElementOf0(sz00,slsdtgt0(xa))
% 0.72/0.72 & ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xa,W0) = xa )
% 0.72/0.72 & aElementOf0(xa,slsdtgt0(xa))
% 0.72/0.72 & ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xb,W0) = sz00 )
% 0.72/0.72 & aElementOf0(sz00,slsdtgt0(xb))
% 0.72/0.72 & ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xb,W0) = xb )
% 0.72/0.72 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2228,hypothesis,
% 0.72/0.72 ? [W0] :
% 0.72/0.72 ( ! [W1] :
% 0.72/0.72 ( aElementOf0(W1,slsdtgt0(xa))
% 0.72/0.72 <=> ? [W2] :
% 0.72/0.72 ( aElement0(W2)
% 0.72/0.72 & sdtasdt0(xa,W2) = W1 ) )
% 0.72/0.72 & ! [W1] :
% 0.72/0.72 ( aElementOf0(W1,slsdtgt0(xb))
% 0.72/0.72 <=> ? [W2] :
% 0.72/0.72 ( aElement0(W2)
% 0.72/0.72 & sdtasdt0(xb,W2) = W1 ) )
% 0.72/0.72 & ? [W1,W2] :
% 0.72/0.72 ( aElementOf0(W1,slsdtgt0(xa))
% 0.72/0.72 & aElementOf0(W2,slsdtgt0(xb))
% 0.72/0.72 & sdtpldt0(W1,W2) = W0 )
% 0.72/0.72 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 0.72/0.72 & W0 != sz00 ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2273,hypothesis,
% 0.72/0.72 ( ? [W0,W1] :
% 0.72/0.72 ( aElementOf0(W0,slsdtgt0(xa))
% 0.72/0.72 & aElementOf0(W1,slsdtgt0(xb))
% 0.72/0.72 & sdtpldt0(W0,W1) = xu )
% 0.72/0.72 & aElementOf0(xu,xI)
% 0.72/0.72 & xu != sz00
% 0.72/0.72 & ! [W0] :
% 0.72/0.72 ( ( ( ? [W1,W2] :
% 0.72/0.72 ( aElementOf0(W1,slsdtgt0(xa))
% 0.72/0.72 & aElementOf0(W2,slsdtgt0(xb))
% 0.72/0.72 & sdtpldt0(W1,W2) = W0 )
% 0.72/0.72 | aElementOf0(W0,xI) )
% 0.72/0.72 & W0 != sz00 )
% 0.72/0.72 => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2383,hypothesis,
% 0.72/0.72 ~ ( ( ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xu,W0) = xa )
% 0.72/0.72 | doDivides0(xu,xa)
% 0.72/0.72 | aDivisorOf0(xu,xa) )
% 0.72/0.72 & ( ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xu,W0) = xb )
% 0.72/0.72 | doDivides0(xu,xb)
% 0.72/0.72 | aDivisorOf0(xu,xb) ) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2416,hypothesis,
% 0.72/0.72 ? [W0,W1] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & aElement0(W1)
% 0.72/0.72 & xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2479,hypothesis,
% 0.72/0.72 ~ ~ ( ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xu,W0) = xa )
% 0.72/0.72 & doDivides0(xu,xa) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__2612,hypothesis,
% 0.72/0.72 ~ ~ ( ? [W0] :
% 0.72/0.72 ( aElement0(W0)
% 0.72/0.72 & sdtasdt0(xu,W0) = xb )
% 0.72/0.72 & doDivides0(xu,xb) ) ).
% 0.72/0.72
% 0.72/0.72 fof(m__,conjecture,
% 0.72/0.72 $false ).
% 0.72/0.72
% 0.72/0.72 %------------------------------------------------------------------------------
% 0.72/0.72 %-------------------------------------------
% 0.72/0.72 % Proof found
% 0.72/0.72 % SZS status Theorem for theBenchmark
% 0.72/0.72 % SZS output start Proof
% 0.72/0.72 %ClaNum:283(EqnAxiom:90)
% 0.72/0.72 %VarNum:917(SingletonVarNum:290)
% 0.72/0.72 %MaxLitNum:8
% 0.72/0.72 %MaxfuncDepth:2
% 0.72/0.72 %SharedTerms:95
% 0.72/0.72 [91]P1(a1)
% 0.72/0.72 [92]P1(a51)
% 0.72/0.72 [93]P1(a52)
% 0.72/0.72 [94]P1(a54)
% 0.72/0.72 [96]P1(a55)
% 0.72/0.72 [97]P1(a2)
% 0.72/0.72 [98]P1(a15)
% 0.72/0.72 [99]P1(a16)
% 0.72/0.72 [100]P1(a22)
% 0.72/0.72 [101]P1(a23)
% 0.72/0.72 [102]P1(a25)
% 0.72/0.72 [103]P1(a26)
% 0.72/0.72 [104]P1(a34)
% 0.72/0.72 [105]P1(a36)
% 0.72/0.72 [106]P1(a37)
% 0.72/0.72 [107]P3(a53)
% 0.72/0.72 [108]P4(a53)
% 0.72/0.72 [119]P5(a56,a53)
% 0.72/0.72 [120]P8(a55,a52)
% 0.72/0.72 [121]P8(a55,a54)
% 0.72/0.72 [122]P8(a56,a52)
% 0.72/0.72 [123]P8(a56,a54)
% 0.72/0.72 [124]P2(a55,a52)
% 0.72/0.72 [125]P2(a55,a54)
% 0.72/0.72 [135]P6(a55,a52,a54)
% 0.72/0.72 [138]~E(a1,a51)
% 0.72/0.72 [139]~E(a1,a56)
% 0.72/0.72 [140]~E(a1,a28)
% 0.72/0.72 [109]E(f38(a27,a31),a28)
% 0.72/0.72 [110]E(f38(a32,a33),a56)
% 0.72/0.72 [111]E(f39(a52,a16),a1)
% 0.72/0.72 [112]E(f39(a52,a22),a52)
% 0.72/0.72 [113]E(f39(a54,a23),a1)
% 0.72/0.72 [114]E(f39(a54,a25),a54)
% 0.72/0.72 [115]E(f39(a55,a2),a52)
% 0.72/0.72 [116]E(f39(a55,a15),a54)
% 0.72/0.72 [117]E(f39(a56,a36),a52)
% 0.72/0.72 [118]E(f39(a56,a37),a54)
% 0.72/0.72 [126]P5(a1,f48(a52))
% 0.72/0.72 [127]P5(a1,f48(a54))
% 0.72/0.72 [128]P5(a52,f48(a52))
% 0.72/0.72 [129]P5(a54,f48(a54))
% 0.72/0.72 [130]P5(a27,f48(a52))
% 0.72/0.72 [131]P5(a31,f48(a54))
% 0.72/0.72 [132]P5(a32,f48(a52))
% 0.72/0.72 [133]P5(a33,f48(a54))
% 0.72/0.72 [134]E(f49(f48(a52),f48(a54)),a53)
% 0.72/0.72 [136]P5(a28,f49(f48(a52),f48(a54)))
% 0.72/0.72 [137]E(f38(f39(a52,a26),f39(a54,a34)),a56)
% 0.72/0.72 [141]~E(a1,a52)+~E(a1,a54)
% 0.72/0.72 [160]~P8(a56,a52)+~P8(a56,a54)
% 0.72/0.72 [161]~P8(a56,a52)+~P2(a56,a54)
% 0.72/0.72 [162]~P8(a56,a54)+~P2(a56,a52)
% 0.72/0.72 [163]~P2(a56,a52)+~P2(a56,a54)
% 0.72/0.72 [142]~P4(x1421)+P3(x1421)
% 0.72/0.72 [143]~P1(x1431)+P1(f50(x1431))
% 0.72/0.72 [144]~P1(x1441)+P4(f48(x1441))
% 0.72/0.72 [146]~P1(x1461)+E(f39(a1,x1461),a1)
% 0.72/0.72 [147]~P1(x1471)+E(f39(x1471,a1),a1)
% 0.72/0.72 [149]~P1(x1491)+E(f38(a1,x1491),x1491)
% 0.72/0.72 [150]~P1(x1501)+E(f39(a51,x1501),x1501)
% 0.72/0.72 [151]~P1(x1511)+E(f38(x1511,a1),x1511)
% 0.72/0.72 [152]~P1(x1521)+E(f39(x1521,a51),x1521)
% 0.72/0.72 [164]~P5(x1641,f48(a52))+P1(f17(x1641))
% 0.72/0.72 [165]~P5(x1651,f48(a54))+P1(f19(x1651))
% 0.72/0.72 [166]~P5(x1661,f48(a52))+P1(f29(x1661))
% 0.72/0.72 [167]~P5(x1671,f48(a54))+P1(f30(x1671))
% 0.72/0.72 [174]~P5(x1741,a53)+P5(f20(x1741),f48(a52))
% 0.72/0.72 [175]~P5(x1751,a53)+P5(f21(x1751),f48(a54))
% 0.72/0.72 [153]~P1(x1531)+E(f38(f50(x1531),x1531),a1)
% 0.72/0.72 [154]~P1(x1541)+E(f38(x1541,f50(x1541)),a1)
% 0.72/0.72 [155]~P1(x1551)+E(f39(x1551,f50(a51)),f50(x1551))
% 0.72/0.72 [156]~P1(x1561)+E(f39(f50(a51),x1561),f50(x1561))
% 0.72/0.72 [191]~P5(x1911,f48(a52))+E(f39(a52,f17(x1911)),x1911)
% 0.72/0.72 [192]~P5(x1921,f48(a52))+E(f39(a52,f29(x1921)),x1921)
% 0.72/0.72 [193]~P5(x1931,f48(a54))+E(f39(a54,f19(x1931)),x1931)
% 0.72/0.72 [194]~P5(x1941,f48(a54))+E(f39(a54,f30(x1941)),x1941)
% 0.72/0.72 [195]~P5(x1951,a53)+E(f38(f20(x1951),f21(x1951)),x1951)
% 0.72/0.72 [199]~P8(x1991,a54)+~P2(x1991,a52)+P8(x1991,a55)
% 0.72/0.72 [200]~P2(x2001,a52)+~P2(x2001,a54)+P8(x2001,a55)
% 0.72/0.72 [145]~P1(x1451)+E(x1451,a1)+P7(f40(x1451))
% 0.72/0.72 [157]~P3(x1571)+P4(x1571)+P5(f41(x1571),x1571)
% 0.72/0.72 [181]~P1(x1811)+~P8(a56,a54)+~E(f39(a56,x1811),a52)
% 0.72/0.72 [182]~P1(x1821)+~P2(a56,a54)+~E(f39(a56,x1821),a52)
% 0.72/0.72 [183]~P1(x1831)+~P8(a56,a52)+~E(f39(a56,x1831),a54)
% 0.72/0.72 [184]~P1(x1841)+~P2(a56,a52)+~E(f39(a56,x1841),a54)
% 0.72/0.72 [196]~P8(x1961,a54)+~P2(x1961,a52)+P1(f18(x1961))
% 0.72/0.72 [197]~P2(x1971,a52)+~P2(x1971,a54)+P1(f18(x1971))
% 0.72/0.72 [204]~P5(x2041,a53)+E(x2041,a1)+~P9(f40(x2041),f40(a56))
% 0.72/0.72 [210]~P8(x2101,a54)+~P2(x2101,a52)+E(f39(x2101,f18(x2101)),a55)
% 0.72/0.72 [211]~P2(x2111,a52)+~P2(x2111,a54)+E(f39(x2111,f18(x2111)),a55)
% 0.72/0.72 [158]~P5(x1581,x1582)+P1(x1581)+~P3(x1582)
% 0.72/0.72 [159]~P2(x1591,x1592)+P1(x1591)+~P1(x1592)
% 0.72/0.72 [176]~P1(x1762)+~P2(x1761,x1762)+P8(x1761,x1762)
% 0.72/0.72 [148]~P1(x1482)+P3(x1481)+~E(x1481,f48(x1482))
% 0.72/0.72 [169]~P1(x1692)+~P1(x1691)+E(f38(x1691,x1692),f38(x1692,x1691))
% 0.72/0.72 [170]~P1(x1702)+~P1(x1701)+E(f39(x1701,x1702),f39(x1702,x1701))
% 0.72/0.72 [177]~P1(x1772)+~P1(x1771)+P1(f38(x1771,x1772))
% 0.72/0.72 [178]~P1(x1782)+~P1(x1781)+P1(f39(x1781,x1782))
% 0.72/0.72 [179]~P4(x1792)+~P4(x1791)+P4(f49(x1791,x1792))
% 0.72/0.72 [180]~P4(x1802)+~P4(x1801)+P4(f47(x1801,x1802))
% 0.72/0.72 [186]~P1(x1862)+~E(f39(a52,x1862),x1861)+P5(x1861,f48(a52))
% 0.72/0.72 [188]~P1(x1882)+~E(f39(a54,x1882),x1881)+P5(x1881,f48(a54))
% 0.72/0.72 [213]~P1(x2131)+~P5(x2132,a53)+P5(f39(x2131,x2132),a53)
% 0.72/0.72 [232]~P5(x2321,a53)+~P5(x2322,a53)+P5(f38(x2321,x2322),a53)
% 0.72/0.72 [206]~P1(x2061)+~P8(x2061,a52)+~P8(x2061,a54)+P8(x2061,a55)
% 0.72/0.72 [207]~P1(x2071)+~P8(x2071,a52)+~P2(x2071,a54)+P8(x2071,a55)
% 0.72/0.72 [173]~P3(x1731)+P4(x1731)+P5(f4(x1731),x1731)+P1(f3(x1731))
% 0.72/0.72 [202]~P1(x2021)+~P8(x2021,a52)+~P8(x2021,a54)+P1(f18(x2021))
% 0.72/0.72 [203]~P1(x2031)+~P8(x2031,a52)+~P2(x2031,a54)+P1(f18(x2031))
% 0.72/0.72 [218]~P1(x2181)+~P8(x2181,a52)+~P8(x2181,a54)+E(f39(x2181,f18(x2181)),a55)
% 0.72/0.72 [219]~P1(x2191)+~P8(x2191,a52)+~P2(x2191,a54)+E(f39(x2191,f18(x2191)),a55)
% 0.72/0.72 [252]~P3(x2521)+P4(x2521)+P1(f3(x2521))+~P5(f38(f41(x2521),f4(x2521)),x2521)
% 0.72/0.72 [255]~P3(x2551)+P4(x2551)+P5(f4(x2551),x2551)+~P5(f39(f3(x2551),f41(x2551)),x2551)
% 0.72/0.72 [264]~P3(x2641)+P4(x2641)+~P5(f38(f41(x2641),f4(x2641)),x2641)+~P5(f39(f3(x2641),f41(x2641)),x2641)
% 0.72/0.72 [198]~P1(x1982)+~P1(x1981)+~P8(x1981,x1982)+P2(x1981,x1982)
% 0.72/0.72 [235]~P1(x2352)+~P1(x2351)+~P10(x2351,x2352)+P6(a51,x2351,x2352)
% 0.72/0.72 [244]~P1(x2442)+~P1(x2441)+P10(x2441,x2442)+~P6(a51,x2441,x2442)
% 0.72/0.72 [189]~P1(x1891)+~P1(x1892)+E(x1891,a1)+P1(f5(x1892,x1891))
% 0.72/0.72 [190]~P1(x1901)+~P1(x1902)+E(x1901,a1)+P1(f8(x1902,x1901))
% 0.72/0.72 [201]~P1(x2011)+~P1(x2012)+~E(f39(a56,x2011),a52)+~E(f39(a56,x2012),a54)
% 0.72/0.72 [208]~P1(x2082)+~P2(x2081,a52)+P1(f18(x2081))+~E(f39(x2081,x2082),a54)
% 0.72/0.72 [212]~P1(x2122)+~P2(x2121,a52)+P8(x2121,a55)+~E(f39(x2121,x2122),a54)
% 0.72/0.72 [214]~P1(x2142)+~P1(x2141)+~P8(x2141,x2142)+P1(f9(x2141,x2142))
% 0.72/0.72 [223]~P1(x2232)+~P2(x2231,a52)+~E(f39(x2231,x2232),a54)+E(f39(x2231,f18(x2231)),a55)
% 0.72/0.72 [231]~P1(x2312)+~P1(x2311)+~P8(x2311,x2312)+E(f39(x2311,f9(x2311,x2312)),x2312)
% 0.72/0.72 [257]~P1(x2571)+~P1(x2572)+E(x2571,a1)+E(f38(f39(f5(x2572,x2571),x2571),f8(x2572,x2571)),x2572)
% 0.72/0.72 [246]~P1(x2462)+~P6(x2461,x2463,x2462)+P2(x2461,x2462)+~P1(x2463)
% 0.72/0.72 [247]~P1(x2472)+~P6(x2471,x2472,x2473)+P2(x2471,x2472)+~P1(x2473)
% 0.72/0.72 [171]~P3(x1713)+~P3(x1712)+P3(x1711)+~E(x1711,f49(x1712,x1713))
% 0.72/0.72 [172]~P3(x1723)+~P3(x1722)+P3(x1721)+~E(x1721,f47(x1722,x1723))
% 0.72/0.72 [226]~P1(x2261)+~P4(x2263)+~P5(x2262,x2263)+P5(f39(x2261,x2262),x2263)
% 0.72/0.72 [237]P5(x2371,a53)+~E(f38(x2372,x2373),x2371)+~P5(x2373,f48(a54))+~P5(x2372,f48(a52))
% 0.72/0.72 [238]~P4(x2383)+~P5(x2381,x2383)+~P5(x2382,x2383)+P5(f38(x2381,x2382),x2383)
% 0.72/0.72 [259]~P1(x2591)+~P5(x2593,x2592)+~E(x2592,f48(x2591))+P1(f12(x2591,x2592,x2593))
% 0.72/0.72 [241]~P1(x2413)+~P1(x2412)+~P1(x2411)+E(f38(f38(x2411,x2412),x2413),f38(x2411,f38(x2412,x2413)))
% 0.72/0.72 [242]~P1(x2423)+~P1(x2422)+~P1(x2421)+E(f39(f39(x2421,x2422),x2423),f39(x2421,f39(x2422,x2423)))
% 0.72/0.72 [253]~P1(x2533)+~P1(x2532)+~P1(x2531)+E(f38(f39(x2531,x2532),f39(x2531,x2533)),f39(x2531,f38(x2532,x2533)))
% 0.72/0.72 [254]~P1(x2542)+~P1(x2543)+~P1(x2541)+E(f38(f39(x2541,x2542),f39(x2543,x2542)),f39(f38(x2541,x2543),x2542))
% 0.72/0.72 [261]~P1(x2611)+~P5(x2613,x2612)+~E(x2612,f48(x2611))+E(f39(x2611,f12(x2611,x2612,x2613)),x2613)
% 0.72/0.72 [168]~P1(x1681)+~P1(x1682)+E(x1681,a1)+E(x1682,a1)+~E(f39(x1682,x1681),a1)
% 0.72/0.72 [215]~P1(x2152)+~P1(x2151)+~P8(x2151,a54)+P1(f18(x2151))+~E(f39(x2151,x2152),a52)
% 0.72/0.72 [216]~P1(x2162)+~P1(x2161)+~P2(x2161,a54)+P1(f18(x2161))+~E(f39(x2161,x2162),a52)
% 0.72/0.72 [217]~P1(x2172)+~P1(x2171)+~P8(x2171,a52)+P1(f18(x2171))+~E(f39(x2171,x2172),a54)
% 0.72/0.72 [220]~P1(x2202)+~P1(x2201)+~P8(x2201,a54)+P8(x2201,a55)+~E(f39(x2201,x2202),a52)
% 0.72/0.72 [221]~P1(x2212)+~P1(x2211)+~P2(x2211,a54)+P8(x2211,a55)+~E(f39(x2211,x2212),a52)
% 0.72/0.72 [222]~P1(x2222)+~P1(x2221)+~P8(x2221,a52)+P8(x2221,a55)+~E(f39(x2221,x2222),a54)
% 0.72/0.72 [236]~P1(x2362)+~P3(x2361)+P5(f11(x2362,x2361),x2361)+E(x2361,f48(x2362))+P1(f10(x2362,x2361))
% 0.72/0.72 [239]~P3(x2392)+~P3(x2391)+E(x2391,x2392)+P5(f14(x2391,x2392),x2391)+P5(f24(x2391,x2392),x2392)
% 0.72/0.72 [249]~P3(x2492)+~P3(x2491)+E(x2491,x2492)+P5(f14(x2491,x2492),x2491)+~P5(f24(x2491,x2492),x2491)
% 0.72/0.72 [250]~P3(x2502)+~P3(x2501)+E(x2501,x2502)+P5(f24(x2501,x2502),x2502)+~P5(f14(x2501,x2502),x2502)
% 0.72/0.72 [258]~P3(x2582)+~P3(x2581)+E(x2581,x2582)+~P5(f14(x2581,x2582),x2582)+~P5(f24(x2581,x2582),x2581)
% 0.72/0.72 [228]~P1(x2282)+~P1(x2281)+~P8(x2281,a54)+~E(f39(x2281,x2282),a52)+E(f39(x2281,f18(x2281)),a55)
% 0.72/0.72 [229]~P1(x2292)+~P1(x2291)+~P2(x2291,a54)+~E(f39(x2291,x2292),a52)+E(f39(x2291,f18(x2291)),a55)
% 0.72/0.72 [230]~P1(x2302)+~P1(x2301)+~P8(x2301,a52)+~E(f39(x2301,x2302),a54)+E(f39(x2301,f18(x2301)),a55)
% 0.72/0.72 [243]~P1(x2431)+~P1(x2432)+E(x2431,a1)+P9(f40(f8(x2432,x2431)),f40(x2431))+E(f8(x2432,x2431),a1)
% 0.72/0.72 [245]~P1(x2452)+~P3(x2451)+P5(f11(x2452,x2451),x2451)+E(x2451,f48(x2452))+E(f39(x2452,f10(x2452,x2451)),f11(x2452,x2451))
% 0.72/0.72 [205]~P1(x2052)+~P1(x2051)+~P1(x2053)+P8(x2051,x2052)+~E(f39(x2051,x2053),x2052)
% 0.72/0.72 [248]E(x2481,a1)+~E(f38(x2482,x2483),x2481)+~P5(x2483,f48(a54))+~P5(x2482,f48(a52))+~P9(f40(x2481),f40(a56))
% 0.72/0.72 [260]~P1(x2602)+~P1(x2601)+~P4(x2603)+P11(x2601,x2602,x2603)+~P5(f38(x2601,f50(x2602)),x2603)
% 0.72/0.72 [262]~P1(x2622)+~P1(x2621)+~P4(x2623)+~P11(x2621,x2622,x2623)+P5(f38(x2621,f50(x2622)),x2623)
% 0.72/0.72 [209]~P1(x2093)+~P1(x2094)+P5(x2091,x2092)+~E(f39(x2093,x2094),x2091)+~E(x2092,f48(x2093))
% 0.72/0.72 [224]~P3(x2244)+~P3(x2242)+~P5(x2241,x2243)+P5(x2241,x2242)+~E(x2243,f47(x2244,x2242))
% 0.72/0.72 [225]~P3(x2254)+~P3(x2252)+~P5(x2251,x2253)+P5(x2251,x2252)+~E(x2253,f47(x2252,x2254))
% 0.72/0.72 [275]~P3(x2752)+~P3(x2751)+~P5(x2754,x2753)+~E(x2753,f49(x2751,x2752))+P5(f35(x2751,x2752,x2753,x2754),x2751)
% 0.72/0.72 [276]~P3(x2762)+~P3(x2761)+~P5(x2764,x2763)+~E(x2763,f49(x2761,x2762))+P5(f43(x2761,x2762,x2763,x2764),x2762)
% 0.72/0.72 [283]~P3(x2832)+~P3(x2831)+~P5(x2834,x2833)+~E(x2833,f49(x2831,x2832))+E(f38(f35(x2831,x2832,x2833,x2834),f43(x2831,x2832,x2833,x2834)),x2834)
% 0.72/0.72 [227]~P1(x2272)+~P1(x2273)+~P1(x2271)+P1(f18(x2271))+~E(f39(x2271,x2272),a52)+~E(f39(x2271,x2273),a54)
% 0.72/0.72 [233]~P1(x2332)+~P1(x2333)+~P1(x2331)+P8(x2331,a55)+~E(f39(x2331,x2332),a52)+~E(f39(x2331,x2333),a54)
% 0.72/0.72 [256]~P1(x2563)+~P1(x2562)+~P3(x2561)+~P5(f11(x2562,x2561),x2561)+~E(f11(x2562,x2561),f39(x2562,x2563))+E(x2561,f48(x2562))
% 0.72/0.72 [265]~P1(x2653)+~P1(x2652)+~P2(x2651,x2653)+~P2(x2651,x2652)+P6(x2651,x2652,x2653)+P2(f13(x2652,x2653,x2651),x2653)
% 0.72/0.72 [266]~P1(x2663)+~P1(x2662)+~P2(x2661,x2663)+~P2(x2661,x2662)+P6(x2661,x2662,x2663)+P2(f13(x2662,x2663,x2661),x2662)
% 0.72/0.72 [267]~P3(x2671)+~P3(x2673)+~P3(x2672)+P5(f42(x2672,x2673,x2671),x2671)+P5(f44(x2672,x2673,x2671),x2672)+E(x2671,f49(x2672,x2673))
% 0.72/0.72 [268]~P3(x2681)+~P3(x2683)+~P3(x2682)+P5(f42(x2682,x2683,x2681),x2681)+P5(f45(x2682,x2683,x2681),x2683)+E(x2681,f49(x2682,x2683))
% 0.72/0.72 [269]~P3(x2691)+~P3(x2693)+~P3(x2692)+P5(f46(x2692,x2693,x2691),x2691)+P5(f46(x2692,x2693,x2691),x2693)+E(x2691,f47(x2692,x2693))
% 0.72/0.72 [270]~P3(x2701)+~P3(x2703)+~P3(x2702)+P5(f46(x2702,x2703,x2701),x2701)+P5(f46(x2702,x2703,x2701),x2702)+E(x2701,f47(x2702,x2703))
% 0.72/0.72 [271]~P1(x2713)+~P1(x2712)+~P2(x2711,x2713)+~P2(x2711,x2712)+P6(x2711,x2712,x2713)+~P8(f13(x2712,x2713,x2711),x2711)
% 0.72/0.72 [234]~P1(x2342)+~P1(x2343)+~P1(x2341)+~E(f39(x2341,x2342),a52)+~E(f39(x2341,x2343),a54)+E(f39(x2341,f18(x2341)),a55)
% 0.72/0.72 [273]~P3(x2731)+~P3(x2733)+~P3(x2732)+P5(f42(x2732,x2733,x2731),x2731)+E(x2731,f49(x2732,x2733))+E(f38(f44(x2732,x2733,x2731),f45(x2732,x2733,x2731)),f42(x2732,x2733,x2731))
% 0.72/0.72 [263]~P2(x2631,x2633)+~P2(x2631,x2634)+~P6(x2632,x2634,x2633)+P8(x2631,x2632)+~P1(x2633)+~P1(x2634)
% 0.72/0.72 [240]~P3(x2404)+~P3(x2403)+~P5(x2401,x2404)+~P5(x2401,x2403)+P5(x2401,x2402)+~E(x2402,f47(x2403,x2404))
% 0.72/0.72 [274]~P1(x2744)+~P1(x2743)+~P4(x2742)+~P4(x2741)+P1(f6(x2741,x2742))+P1(f7(x2741,x2742,x2743,x2744))
% 0.72/0.72 [277]~P1(x2774)+~P1(x2773)+~P4(x2772)+~P4(x2771)+P11(f7(x2771,x2772,x2773,x2774),x2774,x2772)+P1(f6(x2771,x2772))
% 0.72/0.72 [278]~P1(x2784)+~P1(x2783)+~P4(x2782)+~P4(x2781)+P11(f7(x2781,x2782,x2783,x2784),x2783,x2781)+P1(f6(x2781,x2782))
% 0.72/0.72 [280]~P1(x2804)+~P1(x2803)+~P4(x2802)+~P4(x2801)+~P5(f6(x2801,x2802),f49(x2801,x2802))+P1(f7(x2801,x2802,x2803,x2804))
% 0.72/0.72 [281]~P1(x2814)+~P1(x2813)+~P4(x2812)+~P4(x2811)+P11(f7(x2811,x2812,x2813,x2814),x2814,x2812)+~P5(f6(x2811,x2812),f49(x2811,x2812))
% 0.72/0.72 [282]~P1(x2824)+~P1(x2823)+~P4(x2822)+~P4(x2821)+P11(f7(x2821,x2822,x2823,x2824),x2823,x2821)+~P5(f6(x2821,x2822),f49(x2821,x2822))
% 0.72/0.72 [279]~P3(x2791)+~P3(x2793)+~P3(x2792)+~P5(f46(x2792,x2793,x2791),x2791)+~P5(f46(x2792,x2793,x2791),x2793)+~P5(f46(x2792,x2793,x2791),x2792)+E(x2791,f47(x2792,x2793))
% 0.72/0.72 [251]~P3(x2514)+~P3(x2513)+~P5(x2516,x2514)+~P5(x2515,x2513)+P5(x2511,x2512)+~E(x2512,f49(x2513,x2514))+~E(f38(x2515,x2516),x2511)
% 0.72/0.72 [272]~P3(x2721)+~P3(x2723)+~P3(x2722)+~P5(x2725,x2723)+~P5(x2724,x2722)+~P5(f42(x2722,x2723,x2721),x2721)+E(x2721,f49(x2722,x2723))+~E(f38(x2724,x2725),f42(x2722,x2723,x2721))
% 0.72/0.72 %EqnAxiom
% 0.72/0.72 [1]E(x11,x11)
% 0.72/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.72 [4]~E(x41,x42)+E(f38(x41,x43),f38(x42,x43))
% 0.72/0.72 [5]~E(x51,x52)+E(f38(x53,x51),f38(x53,x52))
% 0.72/0.72 [6]~E(x61,x62)+E(f49(x61,x63),f49(x62,x63))
% 0.72/0.72 [7]~E(x71,x72)+E(f49(x73,x71),f49(x73,x72))
% 0.72/0.72 [8]~E(x81,x82)+E(f39(x81,x83),f39(x82,x83))
% 0.72/0.72 [9]~E(x91,x92)+E(f39(x93,x91),f39(x93,x92))
% 0.72/0.72 [10]~E(x101,x102)+E(f42(x101,x103,x104),f42(x102,x103,x104))
% 0.72/0.72 [11]~E(x111,x112)+E(f42(x113,x111,x114),f42(x113,x112,x114))
% 0.72/0.72 [12]~E(x121,x122)+E(f42(x123,x124,x121),f42(x123,x124,x122))
% 0.72/0.72 [13]~E(x131,x132)+E(f45(x131,x133,x134),f45(x132,x133,x134))
% 0.72/0.72 [14]~E(x141,x142)+E(f45(x143,x141,x144),f45(x143,x142,x144))
% 0.72/0.72 [15]~E(x151,x152)+E(f45(x153,x154,x151),f45(x153,x154,x152))
% 0.72/0.72 [16]~E(x161,x162)+E(f44(x161,x163,x164),f44(x162,x163,x164))
% 0.72/0.72 [17]~E(x171,x172)+E(f44(x173,x171,x174),f44(x173,x172,x174))
% 0.72/0.72 [18]~E(x181,x182)+E(f44(x183,x184,x181),f44(x183,x184,x182))
% 0.72/0.72 [19]~E(x191,x192)+E(f46(x191,x193,x194),f46(x192,x193,x194))
% 0.72/0.72 [20]~E(x201,x202)+E(f46(x203,x201,x204),f46(x203,x202,x204))
% 0.72/0.72 [21]~E(x211,x212)+E(f46(x213,x214,x211),f46(x213,x214,x212))
% 0.72/0.72 [22]~E(x221,x222)+E(f47(x221,x223),f47(x222,x223))
% 0.72/0.72 [23]~E(x231,x232)+E(f47(x233,x231),f47(x233,x232))
% 0.72/0.72 [24]~E(x241,x242)+E(f13(x241,x243,x244),f13(x242,x243,x244))
% 0.72/0.72 [25]~E(x251,x252)+E(f13(x253,x251,x254),f13(x253,x252,x254))
% 0.72/0.72 [26]~E(x261,x262)+E(f13(x263,x264,x261),f13(x263,x264,x262))
% 0.72/0.72 [27]~E(x271,x272)+E(f40(x271),f40(x272))
% 0.72/0.72 [28]~E(x281,x282)+E(f48(x281),f48(x282))
% 0.72/0.72 [29]~E(x291,x292)+E(f11(x291,x293),f11(x292,x293))
% 0.72/0.72 [30]~E(x301,x302)+E(f11(x303,x301),f11(x303,x302))
% 0.72/0.72 [31]~E(x311,x312)+E(f8(x311,x313),f8(x312,x313))
% 0.72/0.72 [32]~E(x321,x322)+E(f8(x323,x321),f8(x323,x322))
% 0.72/0.72 [33]~E(x331,x332)+E(f18(x331),f18(x332))
% 0.72/0.72 [34]~E(x341,x342)+E(f6(x341,x343),f6(x342,x343))
% 0.72/0.72 [35]~E(x351,x352)+E(f6(x353,x351),f6(x353,x352))
% 0.72/0.72 [36]~E(x361,x362)+E(f30(x361),f30(x362))
% 0.72/0.72 [37]~E(x371,x372)+E(f7(x371,x373,x374,x375),f7(x372,x373,x374,x375))
% 0.72/0.72 [38]~E(x381,x382)+E(f7(x383,x381,x384,x385),f7(x383,x382,x384,x385))
% 0.72/0.72 [39]~E(x391,x392)+E(f7(x393,x394,x391,x395),f7(x393,x394,x392,x395))
% 0.72/0.72 [40]~E(x401,x402)+E(f7(x403,x404,x405,x401),f7(x403,x404,x405,x402))
% 0.72/0.72 [41]~E(x411,x412)+E(f3(x411),f3(x412))
% 0.72/0.72 [42]~E(x421,x422)+E(f14(x421,x423),f14(x422,x423))
% 0.72/0.72 [43]~E(x431,x432)+E(f14(x433,x431),f14(x433,x432))
% 0.72/0.72 [44]~E(x441,x442)+E(f19(x441),f19(x442))
% 0.72/0.72 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453))
% 0.72/0.72 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462))
% 0.72/0.72 [47]~E(x471,x472)+E(f41(x471),f41(x472))
% 0.72/0.72 [48]~E(x481,x482)+E(f10(x481,x483),f10(x482,x483))
% 0.72/0.72 [49]~E(x491,x492)+E(f10(x493,x491),f10(x493,x492))
% 0.72/0.72 [50]~E(x501,x502)+E(f29(x501),f29(x502))
% 0.72/0.72 [51]~E(x511,x512)+E(f35(x511,x513,x514,x515),f35(x512,x513,x514,x515))
% 0.72/0.72 [52]~E(x521,x522)+E(f35(x523,x521,x524,x525),f35(x523,x522,x524,x525))
% 0.72/0.72 [53]~E(x531,x532)+E(f35(x533,x534,x531,x535),f35(x533,x534,x532,x535))
% 0.72/0.72 [54]~E(x541,x542)+E(f35(x543,x544,x545,x541),f35(x543,x544,x545,x542))
% 0.72/0.72 [55]~E(x551,x552)+E(f50(x551),f50(x552))
% 0.72/0.72 [56]~E(x561,x562)+E(f43(x561,x563,x564,x565),f43(x562,x563,x564,x565))
% 0.72/0.72 [57]~E(x571,x572)+E(f43(x573,x571,x574,x575),f43(x573,x572,x574,x575))
% 0.72/0.72 [58]~E(x581,x582)+E(f43(x583,x584,x581,x585),f43(x583,x584,x582,x585))
% 0.72/0.72 [59]~E(x591,x592)+E(f43(x593,x594,x595,x591),f43(x593,x594,x595,x592))
% 0.72/0.72 [60]~E(x601,x602)+E(f21(x601),f21(x602))
% 0.72/0.72 [61]~E(x611,x612)+E(f20(x611),f20(x612))
% 0.72/0.72 [62]~E(x621,x622)+E(f17(x621),f17(x622))
% 0.72/0.72 [63]~E(x631,x632)+E(f9(x631,x633),f9(x632,x633))
% 0.72/0.72 [64]~E(x641,x642)+E(f9(x643,x641),f9(x643,x642))
% 0.72/0.72 [65]~E(x651,x652)+E(f4(x651),f4(x652))
% 0.72/0.72 [66]~E(x661,x662)+E(f5(x661,x663),f5(x662,x663))
% 0.72/0.72 [67]~E(x671,x672)+E(f5(x673,x671),f5(x673,x672))
% 0.72/0.72 [68]~E(x681,x682)+E(f12(x681,x683,x684),f12(x682,x683,x684))
% 0.72/0.72 [69]~E(x691,x692)+E(f12(x693,x691,x694),f12(x693,x692,x694))
% 0.72/0.72 [70]~E(x701,x702)+E(f12(x703,x704,x701),f12(x703,x704,x702))
% 0.72/0.72 [71]~P1(x711)+P1(x712)+~E(x711,x712)
% 0.72/0.72 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 0.72/0.72 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 0.72/0.72 [74]~P3(x741)+P3(x742)+~E(x741,x742)
% 0.72/0.72 [75]P11(x752,x753,x754)+~E(x751,x752)+~P11(x751,x753,x754)
% 0.72/0.72 [76]P11(x763,x762,x764)+~E(x761,x762)+~P11(x763,x761,x764)
% 0.72/0.72 [77]P11(x773,x774,x772)+~E(x771,x772)+~P11(x773,x774,x771)
% 0.72/0.72 [78]P9(x782,x783)+~E(x781,x782)+~P9(x781,x783)
% 0.72/0.72 [79]P9(x793,x792)+~E(x791,x792)+~P9(x793,x791)
% 0.72/0.72 [80]~P4(x801)+P4(x802)+~E(x801,x802)
% 0.72/0.72 [81]P2(x812,x813)+~E(x811,x812)+~P2(x811,x813)
% 0.72/0.72 [82]P2(x823,x822)+~E(x821,x822)+~P2(x823,x821)
% 0.72/0.72 [83]P8(x832,x833)+~E(x831,x832)+~P8(x831,x833)
% 0.72/0.72 [84]P8(x843,x842)+~E(x841,x842)+~P8(x843,x841)
% 0.72/0.72 [85]P10(x852,x853)+~E(x851,x852)+~P10(x851,x853)
% 0.72/0.72 [86]P10(x863,x862)+~E(x861,x862)+~P10(x863,x861)
% 0.72/0.72 [87]P6(x872,x873,x874)+~E(x871,x872)+~P6(x871,x873,x874)
% 0.72/0.72 [88]P6(x883,x882,x884)+~E(x881,x882)+~P6(x883,x881,x884)
% 0.72/0.72 [89]P6(x893,x894,x892)+~E(x891,x892)+~P6(x893,x894,x891)
% 0.72/0.72 [90]~P7(x901)+P7(x902)+~E(x901,x902)
% 0.72/0.72
% 0.72/0.72 %-------------------------------------------
% 0.72/0.72 cnf(284,plain,
% 0.72/0.72 ($false),
% 0.72/0.72 inference(scs_inference,[],[122,123,160]),
% 0.72/0.72 ['proof']).
% 0.72/0.72 % SZS output end Proof
% 0.72/0.72 % Total time :0.010000s
%------------------------------------------------------------------------------