TSTP Solution File: RNG115+4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG115+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 : n009.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 13:48:15 EDT 2023
% Result : Theorem 0.57s 0.70s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 01:24:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.57/0.68 %-------------------------------------------
% 0.57/0.68 % File :CSE---1.6
% 0.57/0.68 % Problem :theBenchmark
% 0.57/0.68 % Transform :cnf
% 0.57/0.68 % Format :tptp:raw
% 0.57/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.68
% 0.57/0.68 % Result :Theorem 0.020000s
% 0.57/0.68 % Output :CNFRefutation 0.020000s
% 0.57/0.68 %-------------------------------------------
% 0.57/0.68 %------------------------------------------------------------------------------
% 0.57/0.68 % File : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.57/0.68 % Domain : Ring Theory
% 0.57/0.68 % Problem : Chinese remainder theorem in a ring 07_05_01_01, 03 expansion
% 0.57/0.68 % Version : Especial.
% 0.57/0.68 % English :
% 0.57/0.68
% 0.57/0.68 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.57/0.68 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.57/0.68 % Source : [Pas08]
% 0.57/0.68 % Names : chines_07_05_01_01.03 [Pas08]
% 0.57/0.68
% 0.57/0.68 % Status : Theorem
% 0.57/0.68 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.52 v4.0.1, 0.87 v4.0.0
% 0.57/0.68 % Syntax : Number of formulae : 47 ( 3 unt; 9 def)
% 0.57/0.68 % Number of atoms : 246 ( 59 equ)
% 0.57/0.68 % Maximal formula atoms : 23 ( 5 avg)
% 0.57/0.68 % Number of connectives : 210 ( 11 ~; 13 |; 116 &)
% 0.57/0.68 % ( 17 <=>; 53 =>; 0 <=; 0 <~>)
% 0.57/0.68 % Maximal formula depth : 18 ( 6 avg)
% 0.57/0.68 % Maximal term depth : 3 ( 1 avg)
% 0.57/0.68 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 0.57/0.68 % Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% 0.57/0.68 % Number of variables : 122 ( 87 !; 35 ?)
% 0.57/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.57/0.68
% 0.57/0.68 % Comments : Problem generated by the SAD system [VLP07]
% 0.57/0.68 %------------------------------------------------------------------------------
% 0.57/0.68 fof(mElmSort,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => $true ) ).
% 0.57/0.68
% 0.57/0.68 fof(mSortsC,axiom,
% 0.57/0.68 aElement0(sz00) ).
% 0.57/0.68
% 0.57/0.68 fof(mSortsC_01,axiom,
% 0.57/0.68 aElement0(sz10) ).
% 0.57/0.68
% 0.57/0.68 fof(mSortsU,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => aElement0(smndt0(W0)) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mSortsB,axiom,
% 0.57/0.68 ! [W0,W1] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1) )
% 0.57/0.68 => aElement0(sdtpldt0(W0,W1)) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mSortsB_02,axiom,
% 0.57/0.68 ! [W0,W1] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1) )
% 0.57/0.68 => aElement0(sdtasdt0(W0,W1)) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mAddComm,axiom,
% 0.57/0.68 ! [W0,W1] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1) )
% 0.57/0.68 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mAddAsso,axiom,
% 0.57/0.68 ! [W0,W1,W2] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1)
% 0.57/0.68 & aElement0(W2) )
% 0.57/0.68 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mAddZero,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => ( sdtpldt0(W0,sz00) = W0
% 0.57/0.68 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mAddInvr,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.57/0.68 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mMulComm,axiom,
% 0.57/0.68 ! [W0,W1] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1) )
% 0.57/0.68 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mMulAsso,axiom,
% 0.57/0.68 ! [W0,W1,W2] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1)
% 0.57/0.68 & aElement0(W2) )
% 0.57/0.68 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mMulUnit,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => ( sdtasdt0(W0,sz10) = W0
% 0.57/0.68 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mAMDistr,axiom,
% 0.57/0.68 ! [W0,W1,W2] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1)
% 0.57/0.68 & aElement0(W2) )
% 0.57/0.68 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.57/0.68 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mMulMnOne,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.57/0.68 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mMulZero,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aElement0(W0)
% 0.57/0.68 => ( sdtasdt0(W0,sz00) = sz00
% 0.57/0.68 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mCancel,axiom,
% 0.57/0.68 ! [W0,W1] :
% 0.57/0.68 ( ( aElement0(W0)
% 0.57/0.68 & aElement0(W1) )
% 0.57/0.68 => ( sdtasdt0(W0,W1) = sz00
% 0.57/0.68 => ( W0 = sz00
% 0.57/0.68 | W1 = sz00 ) ) ) ).
% 0.57/0.68
% 0.57/0.68 fof(mUnNeZr,axiom,
% 0.57/0.68 sz10 != sz00 ).
% 0.57/0.68
% 0.57/0.68 fof(mSetSort,axiom,
% 0.57/0.68 ! [W0] :
% 0.57/0.68 ( aSet0(W0)
% 0.57/0.68 => $true ) ).
% 0.57/0.69
% 0.57/0.69 fof(mEOfElem,axiom,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aSet0(W0)
% 0.57/0.69 => ! [W1] :
% 0.57/0.69 ( aElementOf0(W1,W0)
% 0.57/0.69 => aElement0(W1) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mSetEq,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aSet0(W0)
% 0.57/0.69 & aSet0(W1) )
% 0.57/0.69 => ( ( ! [W2] :
% 0.57/0.69 ( aElementOf0(W2,W0)
% 0.57/0.69 => aElementOf0(W2,W1) )
% 0.57/0.69 & ! [W2] :
% 0.57/0.69 ( aElementOf0(W2,W1)
% 0.57/0.69 => aElementOf0(W2,W0) ) )
% 0.57/0.69 => W0 = W1 ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefSSum,definition,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aSet0(W0)
% 0.57/0.69 & aSet0(W1) )
% 0.57/0.69 => ! [W2] :
% 0.57/0.69 ( W2 = sdtpldt1(W0,W1)
% 0.57/0.69 <=> ( aSet0(W2)
% 0.57/0.69 & ! [W3] :
% 0.57/0.69 ( aElementOf0(W3,W2)
% 0.57/0.69 <=> ? [W4,W5] :
% 0.57/0.69 ( aElementOf0(W4,W0)
% 0.57/0.69 & aElementOf0(W5,W1)
% 0.57/0.69 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefSInt,definition,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aSet0(W0)
% 0.57/0.69 & aSet0(W1) )
% 0.57/0.69 => ! [W2] :
% 0.57/0.69 ( W2 = sdtasasdt0(W0,W1)
% 0.57/0.69 <=> ( aSet0(W2)
% 0.57/0.69 & ! [W3] :
% 0.57/0.69 ( aElementOf0(W3,W2)
% 0.57/0.69 <=> ( aElementOf0(W3,W0)
% 0.57/0.69 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefIdeal,definition,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aIdeal0(W0)
% 0.57/0.69 <=> ( aSet0(W0)
% 0.57/0.69 & ! [W1] :
% 0.57/0.69 ( aElementOf0(W1,W0)
% 0.57/0.69 => ( ! [W2] :
% 0.57/0.69 ( aElementOf0(W2,W0)
% 0.57/0.69 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 0.57/0.69 & ! [W2] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mIdeSum,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aIdeal0(W0)
% 0.57/0.69 & aIdeal0(W1) )
% 0.57/0.69 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mIdeInt,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aIdeal0(W0)
% 0.57/0.69 & aIdeal0(W1) )
% 0.57/0.69 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefMod,definition,
% 0.57/0.69 ! [W0,W1,W2] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & aElement0(W1)
% 0.57/0.69 & aIdeal0(W2) )
% 0.57/0.69 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.57/0.69 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mChineseRemainder,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aIdeal0(W0)
% 0.57/0.69 & aIdeal0(W1) )
% 0.57/0.69 => ( ! [W2] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 0.57/0.69 => ! [W2,W3] :
% 0.57/0.69 ( ( aElement0(W2)
% 0.57/0.69 & aElement0(W3) )
% 0.57/0.69 => ? [W4] :
% 0.57/0.69 ( aElement0(W4)
% 0.57/0.69 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 0.57/0.69 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mNatSort,axiom,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aNaturalNumber0(W0)
% 0.57/0.69 => $true ) ).
% 0.57/0.69
% 0.57/0.69 fof(mEucSort,axiom,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & W0 != sz00 )
% 0.57/0.69 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mNatLess,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aNaturalNumber0(W0)
% 0.57/0.69 & aNaturalNumber0(W1) )
% 0.57/0.69 => ( iLess0(W0,W1)
% 0.57/0.69 => $true ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDivision,axiom,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & aElement0(W1)
% 0.57/0.69 & W1 != sz00 )
% 0.57/0.69 => ? [W2,W3] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 & aElement0(W3)
% 0.57/0.69 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 0.57/0.69 & ( W3 != sz00
% 0.57/0.69 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefDiv,definition,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & aElement0(W1) )
% 0.57/0.69 => ( doDivides0(W0,W1)
% 0.57/0.69 <=> ? [W2] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefDvs,definition,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 => ! [W1] :
% 0.57/0.69 ( aDivisorOf0(W1,W0)
% 0.57/0.69 <=> ( aElement0(W1)
% 0.57/0.69 & doDivides0(W1,W0) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefGCD,definition,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & aElement0(W1) )
% 0.57/0.69 => ! [W2] :
% 0.57/0.69 ( aGcdOfAnd0(W2,W0,W1)
% 0.57/0.69 <=> ( aDivisorOf0(W2,W0)
% 0.57/0.69 & aDivisorOf0(W2,W1)
% 0.57/0.69 & ! [W3] :
% 0.57/0.69 ( ( aDivisorOf0(W3,W0)
% 0.57/0.69 & aDivisorOf0(W3,W1) )
% 0.57/0.69 => doDivides0(W3,W2) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefRel,definition,
% 0.57/0.69 ! [W0,W1] :
% 0.57/0.69 ( ( aElement0(W0)
% 0.57/0.69 & aElement0(W1) )
% 0.57/0.69 => ( misRelativelyPrime0(W0,W1)
% 0.57/0.69 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mDefPrIdeal,definition,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 => ! [W1] :
% 0.57/0.69 ( W1 = slsdtgt0(W0)
% 0.57/0.69 <=> ( aSet0(W1)
% 0.57/0.69 & ! [W2] :
% 0.57/0.69 ( aElementOf0(W2,W1)
% 0.57/0.69 <=> ? [W3] :
% 0.57/0.69 ( aElement0(W3)
% 0.57/0.69 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 0.57/0.69
% 0.57/0.69 fof(mPrIdeal,axiom,
% 0.57/0.69 ! [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 => aIdeal0(slsdtgt0(W0)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2091,hypothesis,
% 0.57/0.69 ( aElement0(xa)
% 0.57/0.69 & aElement0(xb) ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2110,hypothesis,
% 0.57/0.69 ( xa != sz00
% 0.57/0.69 | xb != sz00 ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2129,hypothesis,
% 0.57/0.69 ( aElement0(xc)
% 0.57/0.69 & ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xc,W0) = xa )
% 0.57/0.69 & doDivides0(xc,xa)
% 0.57/0.69 & aDivisorOf0(xc,xa)
% 0.57/0.69 & aElement0(xc)
% 0.57/0.69 & ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xc,W0) = xb )
% 0.57/0.69 & doDivides0(xc,xb)
% 0.57/0.69 & aDivisorOf0(xc,xb)
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( ( ( ( aElement0(W0)
% 0.57/0.69 & ( ? [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 & sdtasdt0(W0,W1) = xa )
% 0.57/0.69 | doDivides0(W0,xa) ) )
% 0.57/0.69 | aDivisorOf0(W0,xa) )
% 0.57/0.69 & ( ? [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 & sdtasdt0(W0,W1) = xb )
% 0.57/0.69 | doDivides0(W0,xb)
% 0.57/0.69 | aDivisorOf0(W0,xb) ) )
% 0.57/0.69 => ( ? [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 & sdtasdt0(W0,W1) = xc )
% 0.57/0.69 & doDivides0(W0,xc) ) )
% 0.57/0.69 & aGcdOfAnd0(xc,xa,xb) ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2174,hypothesis,
% 0.57/0.69 ( aSet0(xI)
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( aElementOf0(W0,xI)
% 0.57/0.69 => ( ! [W1] :
% 0.57/0.69 ( aElementOf0(W1,xI)
% 0.57/0.69 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 0.57/0.69 & ! [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 0.57/0.69 & aIdeal0(xI)
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( aElementOf0(W0,slsdtgt0(xa))
% 0.57/0.69 <=> ? [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 & sdtasdt0(xa,W1) = W0 ) )
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( aElementOf0(W0,slsdtgt0(xb))
% 0.57/0.69 <=> ? [W1] :
% 0.57/0.69 ( aElement0(W1)
% 0.57/0.69 & sdtasdt0(xb,W1) = W0 ) )
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( aElementOf0(W0,xI)
% 0.57/0.69 <=> ? [W1,W2] :
% 0.57/0.69 ( aElementOf0(W1,slsdtgt0(xa))
% 0.57/0.69 & aElementOf0(W2,slsdtgt0(xb))
% 0.57/0.69 & sdtpldt0(W1,W2) = W0 ) )
% 0.57/0.69 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2203,hypothesis,
% 0.57/0.69 ( ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xa,W0) = sz00 )
% 0.57/0.69 & aElementOf0(sz00,slsdtgt0(xa))
% 0.57/0.69 & ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xa,W0) = xa )
% 0.57/0.69 & aElementOf0(xa,slsdtgt0(xa))
% 0.57/0.69 & ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xb,W0) = sz00 )
% 0.57/0.69 & aElementOf0(sz00,slsdtgt0(xb))
% 0.57/0.69 & ? [W0] :
% 0.57/0.69 ( aElement0(W0)
% 0.57/0.69 & sdtasdt0(xb,W0) = xb )
% 0.57/0.69 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2228,hypothesis,
% 0.57/0.69 ? [W0] :
% 0.57/0.69 ( ! [W1] :
% 0.57/0.69 ( aElementOf0(W1,slsdtgt0(xa))
% 0.57/0.69 <=> ? [W2] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 & sdtasdt0(xa,W2) = W1 ) )
% 0.57/0.69 & ! [W1] :
% 0.57/0.69 ( aElementOf0(W1,slsdtgt0(xb))
% 0.57/0.69 <=> ? [W2] :
% 0.57/0.69 ( aElement0(W2)
% 0.57/0.69 & sdtasdt0(xb,W2) = W1 ) )
% 0.57/0.69 & ? [W1,W2] :
% 0.57/0.69 ( aElementOf0(W1,slsdtgt0(xa))
% 0.57/0.69 & aElementOf0(W2,slsdtgt0(xb))
% 0.57/0.69 & sdtpldt0(W1,W2) = W0 )
% 0.57/0.69 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 0.57/0.69 & W0 != sz00 ) ).
% 0.57/0.69
% 0.57/0.69 fof(m__2273,hypothesis,
% 0.57/0.69 ( ? [W0,W1] :
% 0.57/0.69 ( aElementOf0(W0,slsdtgt0(xa))
% 0.57/0.69 & aElementOf0(W1,slsdtgt0(xb))
% 0.57/0.69 & sdtpldt0(W0,W1) = xu )
% 0.57/0.69 & aElementOf0(xu,xI)
% 0.57/0.69 & xu != sz00
% 0.57/0.69 & ! [W0] :
% 0.57/0.69 ( ( ( ? [W1,W2] :
% 0.57/0.69 ( aElementOf0(W1,slsdtgt0(xa))
% 0.57/0.69 & aElementOf0(W2,slsdtgt0(xb))
% 0.57/0.69 & sdtpldt0(W1,W2) = W0 )
% 0.57/0.69 | aElementOf0(W0,xI) )
% 0.57/0.69 & W0 != sz00 )
% 0.57/0.70 => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).
% 0.57/0.70
% 0.57/0.70 fof(m__2383,hypothesis,
% 0.57/0.70 ~ ( ( ? [W0] :
% 0.57/0.70 ( aElement0(W0)
% 0.57/0.70 & sdtasdt0(xu,W0) = xa )
% 0.57/0.70 | doDivides0(xu,xa)
% 0.57/0.70 | aDivisorOf0(xu,xa) )
% 0.57/0.70 & ( ? [W0] :
% 0.57/0.70 ( aElement0(W0)
% 0.57/0.70 & sdtasdt0(xu,W0) = xb )
% 0.57/0.70 | doDivides0(xu,xb)
% 0.57/0.70 | aDivisorOf0(xu,xb) ) ) ).
% 0.57/0.70
% 0.57/0.70 fof(m__,conjecture,
% 0.57/0.70 ? [W0,W1] :
% 0.57/0.70 ( ( ? [W2] :
% 0.57/0.70 ( aElement0(W2)
% 0.57/0.70 & sdtasdt0(xa,W2) = W0 )
% 0.57/0.70 | aElementOf0(W0,slsdtgt0(xa)) )
% 0.57/0.70 & ( ? [W2] :
% 0.57/0.70 ( aElement0(W2)
% 0.57/0.70 & sdtasdt0(xb,W2) = W1 )
% 0.57/0.70 | aElementOf0(W1,slsdtgt0(xb)) )
% 0.57/0.70 & xu = sdtpldt0(W0,W1) ) ).
% 0.57/0.70
% 0.57/0.70 %------------------------------------------------------------------------------
% 0.57/0.70 %-------------------------------------------
% 0.57/0.70 % Proof found
% 0.57/0.70 % SZS status Theorem for theBenchmark
% 0.57/0.70 % SZS output start Proof
% 0.57/0.70 %ClaNum:278(EqnAxiom:90)
% 0.57/0.70 %VarNum:941(SingletonVarNum:302)
% 0.57/0.70 %MaxLitNum:8
% 0.57/0.70 %MaxfuncDepth:2
% 0.57/0.70 %SharedTerms:77
% 0.57/0.70 %goalClause: 219 224 225 228
% 0.57/0.70 [91]P1(a1)
% 0.57/0.70 [92]P1(a47)
% 0.57/0.70 [93]P1(a48)
% 0.57/0.70 [94]P1(a50)
% 0.57/0.70 [96]P1(a51)
% 0.57/0.70 [97]P1(a2)
% 0.57/0.70 [98]P1(a15)
% 0.57/0.70 [99]P1(a16)
% 0.57/0.70 [100]P1(a22)
% 0.57/0.70 [101]P1(a23)
% 0.57/0.70 [102]P1(a25)
% 0.57/0.70 [103]P3(a49)
% 0.57/0.70 [104]P4(a49)
% 0.57/0.70 [113]P5(a52,a49)
% 0.57/0.70 [114]P8(a51,a48)
% 0.57/0.70 [115]P8(a51,a50)
% 0.57/0.70 [116]P2(a51,a48)
% 0.57/0.70 [117]P2(a51,a50)
% 0.57/0.70 [127]P6(a51,a48,a50)
% 0.57/0.70 [129]~E(a1,a47)
% 0.57/0.70 [130]~E(a1,a52)
% 0.57/0.70 [131]~E(a1,a27)
% 0.57/0.70 [105]E(f31(a26,a30),a27)
% 0.57/0.70 [106]E(f31(a32,a33),a52)
% 0.57/0.70 [107]E(f34(a48,a16),a1)
% 0.57/0.70 [108]E(f34(a48,a22),a48)
% 0.57/0.70 [109]E(f34(a50,a23),a1)
% 0.57/0.70 [110]E(f34(a50,a25),a50)
% 0.57/0.70 [111]E(f34(a51,a2),a48)
% 0.57/0.70 [112]E(f34(a51,a15),a50)
% 0.57/0.70 [118]P5(a1,f44(a48))
% 0.57/0.70 [119]P5(a1,f44(a50))
% 0.57/0.70 [120]P5(a48,f44(a48))
% 0.57/0.70 [121]P5(a50,f44(a50))
% 0.57/0.70 [122]P5(a26,f44(a48))
% 0.57/0.70 [123]P5(a30,f44(a50))
% 0.57/0.70 [124]P5(a32,f44(a48))
% 0.57/0.70 [125]P5(a33,f44(a50))
% 0.57/0.70 [126]E(f45(f44(a48),f44(a50)),a49)
% 0.57/0.70 [128]P5(a27,f45(f44(a48),f44(a50)))
% 0.57/0.70 [132]~E(a1,a48)+~E(a1,a50)
% 0.57/0.70 [151]~P8(a52,a48)+~P8(a52,a50)
% 0.57/0.70 [152]~P8(a52,a48)+~P2(a52,a50)
% 0.57/0.70 [153]~P8(a52,a50)+~P2(a52,a48)
% 0.57/0.70 [154]~P2(a52,a48)+~P2(a52,a50)
% 0.57/0.70 [133]~P4(x1331)+P3(x1331)
% 0.57/0.70 [134]~P1(x1341)+P1(f46(x1341))
% 0.57/0.70 [135]~P1(x1351)+P4(f44(x1351))
% 0.57/0.70 [137]~P1(x1371)+E(f34(a1,x1371),a1)
% 0.57/0.70 [138]~P1(x1381)+E(f34(x1381,a1),a1)
% 0.57/0.70 [140]~P1(x1401)+E(f31(a1,x1401),x1401)
% 0.57/0.70 [141]~P1(x1411)+E(f34(a47,x1411),x1411)
% 0.57/0.70 [142]~P1(x1421)+E(f31(x1421,a1),x1421)
% 0.57/0.70 [143]~P1(x1431)+E(f34(x1431,a47),x1431)
% 0.57/0.70 [155]~P5(x1551,f44(a48))+P1(f17(x1551))
% 0.57/0.70 [156]~P5(x1561,f44(a50))+P1(f19(x1561))
% 0.57/0.70 [157]~P5(x1571,f44(a48))+P1(f28(x1571))
% 0.57/0.70 [158]~P5(x1581,f44(a50))+P1(f29(x1581))
% 0.57/0.70 [165]~P5(x1651,a49)+P5(f20(x1651),f44(a48))
% 0.57/0.70 [166]~P5(x1661,a49)+P5(f21(x1661),f44(a50))
% 0.57/0.70 [144]~P1(x1441)+E(f31(f46(x1441),x1441),a1)
% 0.57/0.70 [145]~P1(x1451)+E(f31(x1451,f46(x1451)),a1)
% 0.57/0.70 [146]~P1(x1461)+E(f34(x1461,f46(a47)),f46(x1461))
% 0.57/0.70 [147]~P1(x1471)+E(f34(f46(a47),x1471),f46(x1471))
% 0.57/0.70 [182]~P5(x1821,f44(a48))+E(f34(a48,f17(x1821)),x1821)
% 0.57/0.70 [183]~P5(x1831,f44(a48))+E(f34(a48,f28(x1831)),x1831)
% 0.57/0.70 [184]~P5(x1841,f44(a50))+E(f34(a50,f19(x1841)),x1841)
% 0.57/0.70 [185]~P5(x1851,f44(a50))+E(f34(a50,f29(x1851)),x1851)
% 0.57/0.70 [186]~P5(x1861,a49)+E(f31(f20(x1861),f21(x1861)),x1861)
% 0.57/0.70 [190]~P8(x1901,a50)+~P2(x1901,a48)+P8(x1901,a51)
% 0.57/0.70 [191]~P2(x1911,a48)+~P2(x1911,a50)+P8(x1911,a51)
% 0.57/0.70 [136]~P1(x1361)+E(x1361,a1)+P7(f35(x1361))
% 0.57/0.70 [148]~P3(x1481)+P4(x1481)+P5(f36(x1481),x1481)
% 0.57/0.70 [172]~P1(x1721)+~P8(a52,a50)+~E(f34(a52,x1721),a48)
% 0.57/0.70 [173]~P1(x1731)+~P2(a52,a50)+~E(f34(a52,x1731),a48)
% 0.57/0.70 [174]~P1(x1741)+~P8(a52,a48)+~E(f34(a52,x1741),a50)
% 0.57/0.70 [175]~P1(x1751)+~P2(a52,a48)+~E(f34(a52,x1751),a50)
% 0.57/0.70 [187]~P8(x1871,a50)+~P2(x1871,a48)+P1(f18(x1871))
% 0.57/0.70 [188]~P2(x1881,a48)+~P2(x1881,a50)+P1(f18(x1881))
% 0.57/0.70 [195]~P5(x1951,a49)+E(x1951,a1)+~P9(f35(x1951),f35(a52))
% 0.57/0.70 [201]~P8(x2011,a50)+~P2(x2011,a48)+E(f34(x2011,f18(x2011)),a51)
% 0.57/0.70 [202]~P2(x2021,a48)+~P2(x2021,a50)+E(f34(x2021,f18(x2021)),a51)
% 0.57/0.70 [149]~P5(x1491,x1492)+P1(x1491)+~P3(x1492)
% 0.57/0.70 [150]~P2(x1501,x1502)+P1(x1501)+~P1(x1502)
% 0.57/0.70 [167]~P1(x1672)+~P2(x1671,x1672)+P8(x1671,x1672)
% 0.57/0.70 [139]~P1(x1392)+P3(x1391)+~E(x1391,f44(x1392))
% 0.57/0.70 [160]~P1(x1602)+~P1(x1601)+E(f31(x1601,x1602),f31(x1602,x1601))
% 0.57/0.70 [161]~P1(x1612)+~P1(x1611)+E(f34(x1611,x1612),f34(x1612,x1611))
% 0.57/0.70 [168]~P1(x1682)+~P1(x1681)+P1(f31(x1681,x1682))
% 0.57/0.70 [169]~P1(x1692)+~P1(x1691)+P1(f34(x1691,x1692))
% 0.57/0.70 [170]~P4(x1702)+~P4(x1701)+P4(f45(x1701,x1702))
% 0.57/0.70 [171]~P4(x1712)+~P4(x1711)+P4(f43(x1711,x1712))
% 0.57/0.70 [177]~P1(x1772)+~E(f34(a48,x1772),x1771)+P5(x1771,f44(a48))
% 0.57/0.70 [179]~P1(x1792)+~E(f34(a50,x1792),x1791)+P5(x1791,f44(a50))
% 0.57/0.70 [204]~P1(x2041)+~P5(x2042,a49)+P5(f34(x2041,x2042),a49)
% 0.57/0.70 [219]~P5(x2191,f44(a48))+~P5(x2192,f44(a50))+~E(f31(x2191,x2192),a52)
% 0.57/0.70 [226]~P5(x2261,a49)+~P5(x2262,a49)+P5(f31(x2261,x2262),a49)
% 0.57/0.70 [197]~P1(x1971)+~P8(x1971,a48)+~P8(x1971,a50)+P8(x1971,a51)
% 0.57/0.70 [198]~P1(x1981)+~P8(x1981,a48)+~P2(x1981,a50)+P8(x1981,a51)
% 0.57/0.70 [164]~P3(x1641)+P4(x1641)+P5(f4(x1641),x1641)+P1(f3(x1641))
% 0.57/0.70 [193]~P1(x1931)+~P8(x1931,a48)+~P8(x1931,a50)+P1(f18(x1931))
% 0.57/0.70 [194]~P1(x1941)+~P8(x1941,a48)+~P2(x1941,a50)+P1(f18(x1941))
% 0.57/0.70 [209]~P1(x2091)+~P8(x2091,a48)+~P8(x2091,a50)+E(f34(x2091,f18(x2091)),a51)
% 0.57/0.70 [210]~P1(x2101)+~P8(x2101,a48)+~P2(x2101,a50)+E(f34(x2101,f18(x2101)),a51)
% 0.57/0.70 [247]~P3(x2471)+P4(x2471)+P1(f3(x2471))+~P5(f31(f36(x2471),f4(x2471)),x2471)
% 0.57/0.70 [250]~P3(x2501)+P4(x2501)+P5(f4(x2501),x2501)+~P5(f34(f3(x2501),f36(x2501)),x2501)
% 0.57/0.70 [259]~P3(x2591)+P4(x2591)+~P5(f31(f36(x2591),f4(x2591)),x2591)+~P5(f34(f3(x2591),f36(x2591)),x2591)
% 0.57/0.70 [189]~P1(x1892)+~P1(x1891)+~P8(x1891,x1892)+P2(x1891,x1892)
% 0.57/0.70 [230]~P1(x2302)+~P1(x2301)+~P10(x2301,x2302)+P6(a47,x2301,x2302)
% 0.57/0.70 [239]~P1(x2392)+~P1(x2391)+P10(x2391,x2392)+~P6(a47,x2391,x2392)
% 0.57/0.70 [180]~P1(x1801)+~P1(x1802)+E(x1801,a1)+P1(f5(x1802,x1801))
% 0.57/0.70 [181]~P1(x1811)+~P1(x1812)+E(x1811,a1)+P1(f8(x1812,x1811))
% 0.57/0.70 [192]~P1(x1921)+~P1(x1922)+~E(f34(a52,x1921),a48)+~E(f34(a52,x1922),a50)
% 0.57/0.70 [199]~P1(x1992)+~P2(x1991,a48)+P1(f18(x1991))+~E(f34(x1991,x1992),a50)
% 0.57/0.70 [203]~P1(x2032)+~P2(x2031,a48)+P8(x2031,a51)+~E(f34(x2031,x2032),a50)
% 0.57/0.70 [205]~P1(x2052)+~P1(x2051)+~P8(x2051,x2052)+P1(f9(x2051,x2052))
% 0.57/0.70 [214]~P1(x2142)+~P2(x2141,a48)+~E(f34(x2141,x2142),a50)+E(f34(x2141,f18(x2141)),a51)
% 0.57/0.70 [223]~P1(x2232)+~P1(x2231)+~P8(x2231,x2232)+E(f34(x2231,f9(x2231,x2232)),x2232)
% 0.57/0.70 [252]~P1(x2521)+~P1(x2522)+E(x2521,a1)+E(f31(f34(f5(x2522,x2521),x2521),f8(x2522,x2521)),x2522)
% 0.57/0.70 [241]~P1(x2412)+~P6(x2411,x2413,x2412)+P2(x2411,x2412)+~P1(x2413)
% 0.57/0.70 [242]~P1(x2422)+~P6(x2421,x2422,x2423)+P2(x2421,x2422)+~P1(x2423)
% 0.57/0.70 [162]~P3(x1623)+~P3(x1622)+P3(x1621)+~E(x1621,f45(x1622,x1623))
% 0.57/0.70 [163]~P3(x1633)+~P3(x1632)+P3(x1631)+~E(x1631,f43(x1632,x1633))
% 0.57/0.70 [217]~P1(x2171)+~P4(x2173)+~P5(x2172,x2173)+P5(f34(x2171,x2172),x2173)
% 0.57/0.70 [224]~P1(x2243)+~E(f34(a50,x2243),x2242)+~P5(x2241,f44(a48))+~E(f31(x2241,x2242),a52)
% 0.57/0.70 [225]~P1(x2253)+~E(f34(a48,x2253),x2251)+~P5(x2252,f44(a50))+~E(f31(x2251,x2252),a52)
% 0.57/0.70 [232]P5(x2321,a49)+~E(f31(x2322,x2323),x2321)+~P5(x2323,f44(a50))+~P5(x2322,f44(a48))
% 0.57/0.70 [233]~P4(x2333)+~P5(x2331,x2333)+~P5(x2332,x2333)+P5(f31(x2331,x2332),x2333)
% 0.57/0.70 [254]~P1(x2541)+~P5(x2543,x2542)+~E(x2542,f44(x2541))+P1(f12(x2541,x2542,x2543))
% 0.57/0.70 [236]~P1(x2363)+~P1(x2362)+~P1(x2361)+E(f31(f31(x2361,x2362),x2363),f31(x2361,f31(x2362,x2363)))
% 0.57/0.70 [237]~P1(x2373)+~P1(x2372)+~P1(x2371)+E(f34(f34(x2371,x2372),x2373),f34(x2371,f34(x2372,x2373)))
% 0.57/0.70 [248]~P1(x2483)+~P1(x2482)+~P1(x2481)+E(f31(f34(x2481,x2482),f34(x2481,x2483)),f34(x2481,f31(x2482,x2483)))
% 0.57/0.70 [249]~P1(x2492)+~P1(x2493)+~P1(x2491)+E(f31(f34(x2491,x2492),f34(x2493,x2492)),f34(f31(x2491,x2493),x2492))
% 0.57/0.70 [256]~P1(x2561)+~P5(x2563,x2562)+~E(x2562,f44(x2561))+E(f34(x2561,f12(x2561,x2562,x2563)),x2563)
% 0.57/0.70 [159]~P1(x1591)+~P1(x1592)+E(x1591,a1)+E(x1592,a1)+~E(f34(x1592,x1591),a1)
% 0.57/0.70 [206]~P1(x2062)+~P1(x2061)+~P8(x2061,a50)+P1(f18(x2061))+~E(f34(x2061,x2062),a48)
% 0.57/0.70 [207]~P1(x2072)+~P1(x2071)+~P2(x2071,a50)+P1(f18(x2071))+~E(f34(x2071,x2072),a48)
% 0.57/0.70 [208]~P1(x2082)+~P1(x2081)+~P8(x2081,a48)+P1(f18(x2081))+~E(f34(x2081,x2082),a50)
% 0.57/0.70 [211]~P1(x2112)+~P1(x2111)+~P8(x2111,a50)+P8(x2111,a51)+~E(f34(x2111,x2112),a48)
% 0.57/0.70 [212]~P1(x2122)+~P1(x2121)+~P2(x2121,a50)+P8(x2121,a51)+~E(f34(x2121,x2122),a48)
% 0.57/0.70 [213]~P1(x2132)+~P1(x2131)+~P8(x2131,a48)+P8(x2131,a51)+~E(f34(x2131,x2132),a50)
% 0.57/0.70 [231]~P1(x2312)+~P3(x2311)+P5(f11(x2312,x2311),x2311)+E(x2311,f44(x2312))+P1(f10(x2312,x2311))
% 0.57/0.70 [234]~P3(x2342)+~P3(x2341)+E(x2341,x2342)+P5(f14(x2341,x2342),x2341)+P5(f24(x2341,x2342),x2342)
% 0.57/0.70 [244]~P3(x2442)+~P3(x2441)+E(x2441,x2442)+P5(f14(x2441,x2442),x2441)+~P5(f24(x2441,x2442),x2441)
% 0.57/0.70 [245]~P3(x2452)+~P3(x2451)+E(x2451,x2452)+P5(f24(x2451,x2452),x2452)+~P5(f14(x2451,x2452),x2452)
% 0.57/0.70 [253]~P3(x2532)+~P3(x2531)+E(x2531,x2532)+~P5(f14(x2531,x2532),x2532)+~P5(f24(x2531,x2532),x2531)
% 0.57/0.70 [220]~P1(x2202)+~P1(x2201)+~P8(x2201,a50)+~E(f34(x2201,x2202),a48)+E(f34(x2201,f18(x2201)),a51)
% 0.57/0.70 [221]~P1(x2212)+~P1(x2211)+~P2(x2211,a50)+~E(f34(x2211,x2212),a48)+E(f34(x2211,f18(x2211)),a51)
% 0.57/0.70 [222]~P1(x2222)+~P1(x2221)+~P8(x2221,a48)+~E(f34(x2221,x2222),a50)+E(f34(x2221,f18(x2221)),a51)
% 0.57/0.70 [238]~P1(x2381)+~P1(x2382)+E(x2381,a1)+P9(f35(f8(x2382,x2381)),f35(x2381))+E(f8(x2382,x2381),a1)
% 0.57/0.70 [240]~P1(x2402)+~P3(x2401)+P5(f11(x2402,x2401),x2401)+E(x2401,f44(x2402))+E(f34(x2402,f10(x2402,x2401)),f11(x2402,x2401))
% 0.57/0.70 [196]~P1(x1962)+~P1(x1961)+~P1(x1963)+P8(x1961,x1962)+~E(f34(x1961,x1963),x1962)
% 0.57/0.70 [243]E(x2431,a1)+~E(f31(x2432,x2433),x2431)+~P5(x2433,f44(a50))+~P5(x2432,f44(a48))+~P9(f35(x2431),f35(a52))
% 0.57/0.70 [255]~P1(x2552)+~P1(x2551)+~P4(x2553)+P11(x2551,x2552,x2553)+~P5(f31(x2551,f46(x2552)),x2553)
% 0.57/0.70 [257]~P1(x2572)+~P1(x2571)+~P4(x2573)+~P11(x2571,x2572,x2573)+P5(f31(x2571,f46(x2572)),x2573)
% 0.57/0.70 [200]~P1(x2003)+~P1(x2004)+P5(x2001,x2002)+~E(f34(x2003,x2004),x2001)+~E(x2002,f44(x2003))
% 0.57/0.70 [215]~P3(x2154)+~P3(x2152)+~P5(x2151,x2153)+P5(x2151,x2152)+~E(x2153,f43(x2154,x2152))
% 0.57/0.70 [216]~P3(x2164)+~P3(x2162)+~P5(x2161,x2163)+P5(x2161,x2162)+~E(x2163,f43(x2162,x2164))
% 0.57/0.70 [228]~P1(x2283)+~P1(x2284)+~E(f34(a48,x2283),x2281)+~E(f34(a50,x2284),x2282)+~E(f31(x2281,x2282),a52)
% 0.57/0.70 [270]~P3(x2702)+~P3(x2701)+~P5(x2704,x2703)+~E(x2703,f45(x2701,x2702))+P5(f38(x2701,x2702,x2703,x2704),x2701)
% 0.57/0.70 [271]~P3(x2712)+~P3(x2711)+~P5(x2714,x2713)+~E(x2713,f45(x2711,x2712))+P5(f39(x2711,x2712,x2713,x2714),x2712)
% 0.57/0.70 [278]~P3(x2782)+~P3(x2781)+~P5(x2784,x2783)+~E(x2783,f45(x2781,x2782))+E(f31(f38(x2781,x2782,x2783,x2784),f39(x2781,x2782,x2783,x2784)),x2784)
% 0.57/0.70 [218]~P1(x2182)+~P1(x2183)+~P1(x2181)+P1(f18(x2181))+~E(f34(x2181,x2182),a48)+~E(f34(x2181,x2183),a50)
% 0.57/0.70 [227]~P1(x2272)+~P1(x2273)+~P1(x2271)+P8(x2271,a51)+~E(f34(x2271,x2272),a48)+~E(f34(x2271,x2273),a50)
% 0.57/0.70 [251]~P1(x2513)+~P1(x2512)+~P3(x2511)+~P5(f11(x2512,x2511),x2511)+~E(f11(x2512,x2511),f34(x2512,x2513))+E(x2511,f44(x2512))
% 0.57/0.70 [260]~P1(x2603)+~P1(x2602)+~P2(x2601,x2603)+~P2(x2601,x2602)+P6(x2601,x2602,x2603)+P2(f13(x2602,x2603,x2601),x2603)
% 0.57/0.70 [261]~P1(x2613)+~P1(x2612)+~P2(x2611,x2613)+~P2(x2611,x2612)+P6(x2611,x2612,x2613)+P2(f13(x2612,x2613,x2611),x2612)
% 0.57/0.70 [262]~P3(x2621)+~P3(x2623)+~P3(x2622)+P5(f37(x2622,x2623,x2621),x2621)+P5(f40(x2622,x2623,x2621),x2622)+E(x2621,f45(x2622,x2623))
% 0.57/0.70 [263]~P3(x2631)+~P3(x2633)+~P3(x2632)+P5(f37(x2632,x2633,x2631),x2631)+P5(f41(x2632,x2633,x2631),x2633)+E(x2631,f45(x2632,x2633))
% 0.57/0.70 [264]~P3(x2641)+~P3(x2643)+~P3(x2642)+P5(f42(x2642,x2643,x2641),x2641)+P5(f42(x2642,x2643,x2641),x2643)+E(x2641,f43(x2642,x2643))
% 0.57/0.70 [265]~P3(x2651)+~P3(x2653)+~P3(x2652)+P5(f42(x2652,x2653,x2651),x2651)+P5(f42(x2652,x2653,x2651),x2652)+E(x2651,f43(x2652,x2653))
% 0.57/0.70 [266]~P1(x2663)+~P1(x2662)+~P2(x2661,x2663)+~P2(x2661,x2662)+P6(x2661,x2662,x2663)+~P8(f13(x2662,x2663,x2661),x2661)
% 0.57/0.70 [229]~P1(x2292)+~P1(x2293)+~P1(x2291)+~E(f34(x2291,x2292),a48)+~E(f34(x2291,x2293),a50)+E(f34(x2291,f18(x2291)),a51)
% 0.57/0.70 [268]~P3(x2681)+~P3(x2683)+~P3(x2682)+P5(f37(x2682,x2683,x2681),x2681)+E(x2681,f45(x2682,x2683))+E(f31(f40(x2682,x2683,x2681),f41(x2682,x2683,x2681)),f37(x2682,x2683,x2681))
% 0.57/0.70 [258]~P2(x2581,x2583)+~P2(x2581,x2584)+~P6(x2582,x2584,x2583)+P8(x2581,x2582)+~P1(x2583)+~P1(x2584)
% 0.57/0.70 [235]~P3(x2354)+~P3(x2353)+~P5(x2351,x2354)+~P5(x2351,x2353)+P5(x2351,x2352)+~E(x2352,f43(x2353,x2354))
% 0.57/0.70 [269]~P1(x2694)+~P1(x2693)+~P4(x2692)+~P4(x2691)+P1(f6(x2691,x2692))+P1(f7(x2691,x2692,x2693,x2694))
% 0.57/0.70 [272]~P1(x2724)+~P1(x2723)+~P4(x2722)+~P4(x2721)+P11(f7(x2721,x2722,x2723,x2724),x2724,x2722)+P1(f6(x2721,x2722))
% 0.57/0.70 [273]~P1(x2734)+~P1(x2733)+~P4(x2732)+~P4(x2731)+P11(f7(x2731,x2732,x2733,x2734),x2733,x2731)+P1(f6(x2731,x2732))
% 0.57/0.70 [275]~P1(x2754)+~P1(x2753)+~P4(x2752)+~P4(x2751)+~P5(f6(x2751,x2752),f45(x2751,x2752))+P1(f7(x2751,x2752,x2753,x2754))
% 0.57/0.70 [276]~P1(x2764)+~P1(x2763)+~P4(x2762)+~P4(x2761)+P11(f7(x2761,x2762,x2763,x2764),x2764,x2762)+~P5(f6(x2761,x2762),f45(x2761,x2762))
% 0.57/0.70 [277]~P1(x2774)+~P1(x2773)+~P4(x2772)+~P4(x2771)+P11(f7(x2771,x2772,x2773,x2774),x2773,x2771)+~P5(f6(x2771,x2772),f45(x2771,x2772))
% 0.57/0.70 [274]~P3(x2741)+~P3(x2743)+~P3(x2742)+~P5(f42(x2742,x2743,x2741),x2741)+~P5(f42(x2742,x2743,x2741),x2743)+~P5(f42(x2742,x2743,x2741),x2742)+E(x2741,f43(x2742,x2743))
% 0.57/0.70 [246]~P3(x2464)+~P3(x2463)+~P5(x2466,x2464)+~P5(x2465,x2463)+P5(x2461,x2462)+~E(x2462,f45(x2463,x2464))+~E(f31(x2465,x2466),x2461)
% 0.57/0.70 [267]~P3(x2671)+~P3(x2673)+~P3(x2672)+~P5(x2675,x2673)+~P5(x2674,x2672)+~P5(f37(x2672,x2673,x2671),x2671)+E(x2671,f45(x2672,x2673))+~E(f31(x2674,x2675),f37(x2672,x2673,x2671))
% 0.57/0.70 %EqnAxiom
% 0.57/0.70 [1]E(x11,x11)
% 0.57/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.70 [4]~E(x41,x42)+E(f31(x41,x43),f31(x42,x43))
% 0.57/0.70 [5]~E(x51,x52)+E(f31(x53,x51),f31(x53,x52))
% 0.57/0.70 [6]~E(x61,x62)+E(f45(x61,x63),f45(x62,x63))
% 0.57/0.70 [7]~E(x71,x72)+E(f45(x73,x71),f45(x73,x72))
% 0.57/0.70 [8]~E(x81,x82)+E(f34(x81,x83),f34(x82,x83))
% 0.57/0.70 [9]~E(x91,x92)+E(f34(x93,x91),f34(x93,x92))
% 0.57/0.70 [10]~E(x101,x102)+E(f37(x101,x103,x104),f37(x102,x103,x104))
% 0.57/0.70 [11]~E(x111,x112)+E(f37(x113,x111,x114),f37(x113,x112,x114))
% 0.57/0.70 [12]~E(x121,x122)+E(f37(x123,x124,x121),f37(x123,x124,x122))
% 0.57/0.70 [13]~E(x131,x132)+E(f40(x131,x133,x134),f40(x132,x133,x134))
% 0.57/0.70 [14]~E(x141,x142)+E(f40(x143,x141,x144),f40(x143,x142,x144))
% 0.57/0.70 [15]~E(x151,x152)+E(f40(x153,x154,x151),f40(x153,x154,x152))
% 0.57/0.70 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164))
% 0.57/0.70 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174))
% 0.57/0.70 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182))
% 0.57/0.70 [19]~E(x191,x192)+E(f43(x191,x193),f43(x192,x193))
% 0.57/0.70 [20]~E(x201,x202)+E(f43(x203,x201),f43(x203,x202))
% 0.57/0.70 [21]~E(x211,x212)+E(f36(x211),f36(x212))
% 0.57/0.70 [22]~E(x221,x222)+E(f44(x221),f44(x222))
% 0.57/0.70 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233))
% 0.57/0.70 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242))
% 0.57/0.70 [25]~E(x251,x252)+E(f18(x251),f18(x252))
% 0.57/0.70 [26]~E(x261,x262)+E(f9(x261,x263),f9(x262,x263))
% 0.57/0.70 [27]~E(x271,x272)+E(f9(x273,x271),f9(x273,x272))
% 0.57/0.70 [28]~E(x281,x282)+E(f8(x281,x283),f8(x282,x283))
% 0.57/0.70 [29]~E(x291,x292)+E(f8(x293,x291),f8(x293,x292))
% 0.57/0.70 [30]~E(x301,x302)+E(f29(x301),f29(x302))
% 0.57/0.70 [31]~E(x311,x312)+E(f7(x311,x313,x314,x315),f7(x312,x313,x314,x315))
% 0.57/0.70 [32]~E(x321,x322)+E(f7(x323,x321,x324,x325),f7(x323,x322,x324,x325))
% 0.57/0.70 [33]~E(x331,x332)+E(f7(x333,x334,x331,x335),f7(x333,x334,x332,x335))
% 0.57/0.70 [34]~E(x341,x342)+E(f7(x343,x344,x345,x341),f7(x343,x344,x345,x342))
% 0.57/0.70 [35]~E(x351,x352)+E(f35(x351),f35(x352))
% 0.57/0.70 [36]~E(x361,x362)+E(f5(x361,x363),f5(x362,x363))
% 0.57/0.70 [37]~E(x371,x372)+E(f5(x373,x371),f5(x373,x372))
% 0.57/0.70 [38]~E(x381,x382)+E(f4(x381),f4(x382))
% 0.57/0.70 [39]~E(x391,x392)+E(f42(x391,x393,x394),f42(x392,x393,x394))
% 0.57/0.70 [40]~E(x401,x402)+E(f42(x403,x401,x404),f42(x403,x402,x404))
% 0.57/0.70 [41]~E(x411,x412)+E(f42(x413,x414,x411),f42(x413,x414,x412))
% 0.57/0.70 [42]~E(x421,x422)+E(f10(x421,x423),f10(x422,x423))
% 0.57/0.70 [43]~E(x431,x432)+E(f10(x433,x431),f10(x433,x432))
% 0.57/0.70 [44]~E(x441,x442)+E(f11(x441,x443),f11(x442,x443))
% 0.57/0.70 [45]~E(x451,x452)+E(f11(x453,x451),f11(x453,x452))
% 0.57/0.70 [46]~E(x461,x462)+E(f14(x461,x463),f14(x462,x463))
% 0.57/0.70 [47]~E(x471,x472)+E(f14(x473,x471),f14(x473,x472))
% 0.57/0.70 [48]~E(x481,x482)+E(f46(x481),f46(x482))
% 0.57/0.70 [49]~E(x491,x492)+E(f24(x491,x493),f24(x492,x493))
% 0.57/0.70 [50]~E(x501,x502)+E(f24(x503,x501),f24(x503,x502))
% 0.57/0.70 [51]~E(x511,x512)+E(f3(x511),f3(x512))
% 0.57/0.70 [52]~E(x521,x522)+E(f19(x521),f19(x522))
% 0.57/0.70 [53]~E(x531,x532)+E(f38(x531,x533,x534,x535),f38(x532,x533,x534,x535))
% 0.57/0.70 [54]~E(x541,x542)+E(f38(x543,x541,x544,x545),f38(x543,x542,x544,x545))
% 0.57/0.70 [55]~E(x551,x552)+E(f38(x553,x554,x551,x555),f38(x553,x554,x552,x555))
% 0.57/0.70 [56]~E(x561,x562)+E(f38(x563,x564,x565,x561),f38(x563,x564,x565,x562))
% 0.57/0.70 [57]~E(x571,x572)+E(f21(x571),f21(x572))
% 0.57/0.70 [58]~E(x581,x582)+E(f39(x581,x583,x584,x585),f39(x582,x583,x584,x585))
% 0.57/0.70 [59]~E(x591,x592)+E(f39(x593,x591,x594,x595),f39(x593,x592,x594,x595))
% 0.57/0.70 [60]~E(x601,x602)+E(f39(x603,x604,x601,x605),f39(x603,x604,x602,x605))
% 0.57/0.70 [61]~E(x611,x612)+E(f39(x613,x614,x615,x611),f39(x613,x614,x615,x612))
% 0.57/0.70 [62]~E(x621,x622)+E(f28(x621),f28(x622))
% 0.57/0.70 [63]~E(x631,x632)+E(f17(x631),f17(x632))
% 0.57/0.70 [64]~E(x641,x642)+E(f41(x641,x643,x644),f41(x642,x643,x644))
% 0.57/0.70 [65]~E(x651,x652)+E(f41(x653,x651,x654),f41(x653,x652,x654))
% 0.57/0.70 [66]~E(x661,x662)+E(f41(x663,x664,x661),f41(x663,x664,x662))
% 0.57/0.70 [67]~E(x671,x672)+E(f12(x671,x673,x674),f12(x672,x673,x674))
% 0.57/0.70 [68]~E(x681,x682)+E(f12(x683,x681,x684),f12(x683,x682,x684))
% 0.57/0.70 [69]~E(x691,x692)+E(f12(x693,x694,x691),f12(x693,x694,x692))
% 0.57/0.70 [70]~E(x701,x702)+E(f20(x701),f20(x702))
% 0.57/0.70 [71]~P1(x711)+P1(x712)+~E(x711,x712)
% 0.57/0.70 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 0.57/0.70 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 0.57/0.70 [74]~P3(x741)+P3(x742)+~E(x741,x742)
% 0.57/0.70 [75]P8(x752,x753)+~E(x751,x752)+~P8(x751,x753)
% 0.57/0.70 [76]P8(x763,x762)+~E(x761,x762)+~P8(x763,x761)
% 0.57/0.70 [77]P9(x772,x773)+~E(x771,x772)+~P9(x771,x773)
% 0.57/0.70 [78]P9(x783,x782)+~E(x781,x782)+~P9(x783,x781)
% 0.57/0.70 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.57/0.70 [80]P2(x802,x803)+~E(x801,x802)+~P2(x801,x803)
% 0.57/0.70 [81]P2(x813,x812)+~E(x811,x812)+~P2(x813,x811)
% 0.57/0.70 [82]P11(x822,x823,x824)+~E(x821,x822)+~P11(x821,x823,x824)
% 0.57/0.70 [83]P11(x833,x832,x834)+~E(x831,x832)+~P11(x833,x831,x834)
% 0.57/0.70 [84]P11(x843,x844,x842)+~E(x841,x842)+~P11(x843,x844,x841)
% 0.57/0.70 [85]P10(x852,x853)+~E(x851,x852)+~P10(x851,x853)
% 0.57/0.70 [86]P10(x863,x862)+~E(x861,x862)+~P10(x863,x861)
% 0.57/0.70 [87]P6(x872,x873,x874)+~E(x871,x872)+~P6(x871,x873,x874)
% 0.57/0.70 [88]P6(x883,x882,x884)+~E(x881,x882)+~P6(x883,x881,x884)
% 0.57/0.70 [89]P6(x893,x894,x892)+~E(x891,x892)+~P6(x893,x894,x891)
% 0.57/0.70 [90]~P7(x901)+P7(x902)+~E(x901,x902)
% 0.57/0.70
% 0.57/0.70 %-------------------------------------------
% 0.57/0.70 cnf(285,plain,
% 0.57/0.70 ($false),
% 0.57/0.70 inference(scs_inference,[],[116,117,131,105,106,124,125,128,126,2,73,72,3,191,219]),
% 0.57/0.70 ['proof']).
% 0.57/0.70 % SZS output end Proof
% 0.57/0.70 % Total time :0.020000s
%------------------------------------------------------------------------------