TSTP Solution File: NUM582+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM582+1 : 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 10:23:16 EDT 2023
% Result : Theorem 0.61s 0.92s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 14:02:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.61/0.90 %-------------------------------------------
% 0.61/0.90 % File :CSE---1.6
% 0.61/0.90 % Problem :theBenchmark
% 0.61/0.90 % Transform :cnf
% 0.61/0.90 % Format :tptp:raw
% 0.61/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.90
% 0.61/0.90 % Result :Theorem 0.230000s
% 0.61/0.90 % Output :CNFRefutation 0.230000s
% 0.61/0.90 %-------------------------------------------
% 0.61/0.91 %------------------------------------------------------------------------------
% 0.61/0.91 % File : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.61/0.91 % Domain : Number Theory
% 0.61/0.91 % Problem : Ramsey's Infinite Theorem 15_02_06_02_01, 00 expansion
% 0.61/0.91 % Version : Especial.
% 0.61/0.91 % English :
% 0.61/0.91
% 0.61/0.91 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.61/0.91 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.61/0.91 % Source : [Pas08]
% 0.61/0.91 % Names : ramsey_15_02_06_02_01.00 [Pas08]
% 0.61/0.91
% 0.61/0.91 % Status : Theorem
% 0.61/0.91 % Rating : 0.22 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.1.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 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, 0.78 v4.0.0
% 0.61/0.91 % Syntax : Number of formulae : 88 ( 10 unt; 11 def)
% 0.61/0.91 % Number of atoms : 336 ( 58 equ)
% 0.61/0.91 % Maximal formula atoms : 12 ( 3 avg)
% 0.61/0.91 % Number of connectives : 272 ( 24 ~; 4 |; 103 &)
% 0.61/0.91 % ( 22 <=>; 119 =>; 0 <=; 0 <~>)
% 0.61/0.91 % Maximal formula depth : 15 ( 5 avg)
% 0.61/0.91 % Maximal term depth : 5 ( 1 avg)
% 0.61/0.91 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.61/0.91 % Number of functors : 25 ( 25 usr; 11 con; 0-2 aty)
% 0.61/0.91 % Number of variables : 151 ( 143 !; 8 ?)
% 0.61/0.91 % SPC : FOF_THM_RFO_SEQ
% 0.61/0.91
% 0.61/0.91 % Comments : Problem generated by the SAD system [VLP07]
% 0.61/0.91 %------------------------------------------------------------------------------
% 0.61/0.91 fof(mSetSort,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => $true ) ).
% 0.61/0.91
% 0.61/0.91 fof(mElmSort,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aElement0(W0)
% 0.61/0.91 => $true ) ).
% 0.61/0.91
% 0.61/0.91 fof(mEOfElem,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( aElementOf0(W1,W0)
% 0.61/0.91 => aElement0(W1) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mFinRel,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => ( isFinite0(W0)
% 0.61/0.91 => $true ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mDefEmp,definition,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( W0 = slcrc0
% 0.61/0.91 <=> ( aSet0(W0)
% 0.61/0.91 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mEmpFin,axiom,
% 0.61/0.91 isFinite0(slcrc0) ).
% 0.61/0.91
% 0.61/0.91 fof(mCntRel,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => ( isCountable0(W0)
% 0.61/0.91 => $true ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mCountNFin,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & isCountable0(W0) )
% 0.61/0.91 => ~ isFinite0(W0) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mCountNFin_01,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & isCountable0(W0) )
% 0.61/0.91 => W0 != slcrc0 ) ).
% 0.61/0.91
% 0.61/0.91 fof(mDefSub,definition,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( aSubsetOf0(W1,W0)
% 0.61/0.91 <=> ( aSet0(W1)
% 0.61/0.91 & ! [W2] :
% 0.61/0.91 ( aElementOf0(W2,W1)
% 0.61/0.91 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mSubFSet,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & isFinite0(W0) )
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( aSubsetOf0(W1,W0)
% 0.61/0.91 => isFinite0(W1) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mSubRefl,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => aSubsetOf0(W0,W0) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mSubASymm,axiom,
% 0.61/0.91 ! [W0,W1] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & aSet0(W1) )
% 0.61/0.91 => ( ( aSubsetOf0(W0,W1)
% 0.61/0.91 & aSubsetOf0(W1,W0) )
% 0.61/0.91 => W0 = W1 ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mSubTrans,axiom,
% 0.61/0.91 ! [W0,W1,W2] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & aSet0(W1)
% 0.61/0.91 & aSet0(W2) )
% 0.61/0.91 => ( ( aSubsetOf0(W0,W1)
% 0.61/0.91 & aSubsetOf0(W1,W2) )
% 0.61/0.91 => aSubsetOf0(W0,W2) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mDefCons,definition,
% 0.61/0.91 ! [W0,W1] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & aElement0(W1) )
% 0.61/0.91 => ! [W2] :
% 0.61/0.91 ( W2 = sdtpldt0(W0,W1)
% 0.61/0.91 <=> ( aSet0(W2)
% 0.61/0.91 & ! [W3] :
% 0.61/0.91 ( aElementOf0(W3,W2)
% 0.61/0.91 <=> ( aElement0(W3)
% 0.61/0.91 & ( aElementOf0(W3,W0)
% 0.61/0.91 | W3 = W1 ) ) ) ) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mDefDiff,definition,
% 0.61/0.91 ! [W0,W1] :
% 0.61/0.91 ( ( aSet0(W0)
% 0.61/0.91 & aElement0(W1) )
% 0.61/0.91 => ! [W2] :
% 0.61/0.91 ( W2 = sdtmndt0(W0,W1)
% 0.61/0.91 <=> ( aSet0(W2)
% 0.61/0.91 & ! [W3] :
% 0.61/0.91 ( aElementOf0(W3,W2)
% 0.61/0.91 <=> ( aElement0(W3)
% 0.61/0.91 & aElementOf0(W3,W0)
% 0.61/0.91 & W3 != W1 ) ) ) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mConsDiff,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aSet0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( aElementOf0(W1,W0)
% 0.61/0.91 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mDiffCons,axiom,
% 0.61/0.91 ! [W0,W1] :
% 0.61/0.91 ( ( aElement0(W0)
% 0.61/0.91 & aSet0(W1) )
% 0.61/0.91 => ( ~ aElementOf0(W0,W1)
% 0.61/0.91 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mCConsSet,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aElement0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( ( aSet0(W1)
% 0.61/0.91 & isCountable0(W1) )
% 0.61/0.91 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mCDiffSet,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aElement0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( ( aSet0(W1)
% 0.61/0.91 & isCountable0(W1) )
% 0.61/0.91 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mFConsSet,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aElement0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( ( aSet0(W1)
% 0.61/0.91 & isFinite0(W1) )
% 0.61/0.91 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mFDiffSet,axiom,
% 0.61/0.91 ! [W0] :
% 0.61/0.91 ( aElement0(W0)
% 0.61/0.91 => ! [W1] :
% 0.61/0.91 ( ( aSet0(W1)
% 0.61/0.91 & isFinite0(W1) )
% 0.61/0.91 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mNATSet,axiom,
% 0.61/0.91 ( aSet0(szNzAzT0)
% 0.61/0.91 & isCountable0(szNzAzT0) ) ).
% 0.61/0.91
% 0.61/0.91 fof(mZeroNum,axiom,
% 0.61/0.91 aElementOf0(sz00,szNzAzT0) ).
% 0.61/0.91
% 0.61/0.91 fof(mSuccNum,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.61/0.92 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSuccEquSucc,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.61/0.92 => W0 = W1 ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mNatExtra,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ( W0 = sz00
% 0.61/0.92 | ? [W1] :
% 0.61/0.92 ( aElementOf0(W1,szNzAzT0)
% 0.61/0.92 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mNatNSucc,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => W0 != szszuzczcdt0(W0) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessRel,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( sdtlseqdt0(W0,W1)
% 0.61/0.92 => $true ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mZeroLess,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => sdtlseqdt0(sz00,W0) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mNoScLessZr,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSuccLess,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( sdtlseqdt0(W0,W1)
% 0.61/0.92 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessSucc,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessRefl,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => sdtlseqdt0(W0,W0) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessASymm,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( ( sdtlseqdt0(W0,W1)
% 0.61/0.92 & sdtlseqdt0(W1,W0) )
% 0.61/0.92 => W0 = W1 ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessTrans,axiom,
% 0.61/0.92 ! [W0,W1,W2] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0)
% 0.61/0.92 & aElementOf0(W2,szNzAzT0) )
% 0.61/0.92 => ( ( sdtlseqdt0(W0,W1)
% 0.61/0.92 & sdtlseqdt0(W1,W2) )
% 0.61/0.92 => sdtlseqdt0(W0,W2) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mLessTotal,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( sdtlseqdt0(W0,W1)
% 0.61/0.92 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mIHSort,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( iLess0(W0,W1)
% 0.61/0.92 => $true ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mIH,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardS,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aSet0(W0)
% 0.61/0.92 => aElement0(sbrdtbr0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardNum,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aSet0(W0)
% 0.61/0.92 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.61/0.92 <=> isFinite0(W0) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardEmpty,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aSet0(W0)
% 0.61/0.92 => ( sbrdtbr0(W0) = sz00
% 0.61/0.92 <=> W0 = slcrc0 ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardCons,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & isFinite0(W0) )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aElement0(W1)
% 0.61/0.92 => ( ~ aElementOf0(W1,W0)
% 0.61/0.92 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardDiff,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aSet0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( ( isFinite0(W0)
% 0.61/0.92 & aElementOf0(W1,W0) )
% 0.61/0.92 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardSub,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aSet0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( ( isFinite0(W0)
% 0.61/0.92 & aSubsetOf0(W1,W0) )
% 0.61/0.92 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardSubEx,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( ( isFinite0(W0)
% 0.61/0.92 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.61/0.92 => ? [W2] :
% 0.61/0.92 ( aSubsetOf0(W2,W0)
% 0.61/0.92 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefMin,definition,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.61/0.92 & W0 != slcrc0 )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( W1 = szmzizndt0(W0)
% 0.61/0.92 <=> ( aElementOf0(W1,W0)
% 0.61/0.92 & ! [W2] :
% 0.61/0.92 ( aElementOf0(W2,W0)
% 0.61/0.92 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefMax,definition,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.61/0.92 & isFinite0(W0)
% 0.61/0.92 & W0 != slcrc0 )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( W1 = szmzazxdt0(W0)
% 0.61/0.92 <=> ( aElementOf0(W1,W0)
% 0.61/0.92 & ! [W2] :
% 0.61/0.92 ( aElementOf0(W2,W0)
% 0.61/0.92 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mMinMin,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.61/0.92 & aSubsetOf0(W1,szNzAzT0)
% 0.61/0.92 & W0 != slcrc0
% 0.61/0.92 & W1 != slcrc0 )
% 0.61/0.92 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.61/0.92 & aElementOf0(szmzizndt0(W1),W0) )
% 0.61/0.92 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefSeg,definition,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( W1 = slbdtrb0(W0)
% 0.61/0.92 <=> ( aSet0(W1)
% 0.61/0.92 & ! [W2] :
% 0.61/0.92 ( aElementOf0(W2,W1)
% 0.61/0.92 <=> ( aElementOf0(W2,szNzAzT0)
% 0.61/0.92 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSegFin,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => isFinite0(slbdtrb0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSegZero,axiom,
% 0.61/0.92 slbdtrb0(sz00) = slcrc0 ).
% 0.61/0.92
% 0.61/0.92 fof(mSegSucc,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.61/0.92 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.61/0.92 | W0 = W1 ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSegLess,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( sdtlseqdt0(W0,W1)
% 0.61/0.92 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mFinSubSeg,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.61/0.92 & isFinite0(W0) )
% 0.61/0.92 => ? [W1] :
% 0.61/0.92 ( aElementOf0(W1,szNzAzT0)
% 0.61/0.92 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mCardSeg,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefSel,definition,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( W2 = slbdtsldtrb0(W0,W1)
% 0.61/0.92 <=> ( aSet0(W2)
% 0.61/0.92 & ! [W3] :
% 0.61/0.92 ( aElementOf0(W3,W2)
% 0.61/0.92 <=> ( aSubsetOf0(W3,W0)
% 0.61/0.92 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSelFSet,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & isFinite0(W0) )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aElementOf0(W1,szNzAzT0)
% 0.61/0.92 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSelNSet,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & ~ isFinite0(W0) )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aElementOf0(W1,szNzAzT0)
% 0.61/0.92 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSelCSet,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & isCountable0(W0) )
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( ( aElementOf0(W1,szNzAzT0)
% 0.61/0.92 & W1 != sz00 )
% 0.61/0.92 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSelSub,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ! [W1,W2] :
% 0.61/0.92 ( ( aSet0(W1)
% 0.61/0.92 & aSet0(W2)
% 0.61/0.92 & W0 != sz00 )
% 0.61/0.92 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.61/0.92 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.61/0.92 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mSelExtra,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aSet0(W0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.61/0.92 & isFinite0(W2) )
% 0.61/0.92 => ? [W3] :
% 0.61/0.92 ( aSubsetOf0(W3,W0)
% 0.61/0.92 & isFinite0(W3)
% 0.61/0.92 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mFunSort,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => $true ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDomSet,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => aSet0(szDzozmdt0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mImgElm,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.61/0.92 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefPtt,definition,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aFunction0(W0)
% 0.61/0.92 & aElement0(W1) )
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( W2 = sdtlbdtrb0(W0,W1)
% 0.61/0.92 <=> ( aSet0(W2)
% 0.61/0.92 & ! [W3] :
% 0.61/0.92 ( aElementOf0(W3,W2)
% 0.61/0.92 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.61/0.92 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mPttSet,axiom,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aFunction0(W0)
% 0.61/0.92 & aElement0(W1) )
% 0.61/0.92 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefSImg,definition,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( W2 = sdtlcdtrc0(W0,W1)
% 0.61/0.92 <=> ( aSet0(W2)
% 0.61/0.92 & ! [W3] :
% 0.61/0.92 ( aElementOf0(W3,W2)
% 0.61/0.92 <=> ? [W4] :
% 0.61/0.92 ( aElementOf0(W4,W1)
% 0.61/0.92 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mImgRng,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.61/0.92 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDefRst,definition,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( W2 = sdtexdt0(W0,W1)
% 0.61/0.92 <=> ( aFunction0(W2)
% 0.61/0.92 & szDzozmdt0(W2) = W1
% 0.61/0.92 & ! [W3] :
% 0.61/0.92 ( aElementOf0(W3,W1)
% 0.61/0.92 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mImgCount,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.61/0.92 & isCountable0(W1) )
% 0.61/0.92 => ( ! [W2,W3] :
% 0.61/0.92 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.61/0.92 & aElementOf0(W3,szDzozmdt0(W0))
% 0.61/0.92 & W2 != W3 )
% 0.61/0.92 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.61/0.92 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(mDirichlet,axiom,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aFunction0(W0)
% 0.61/0.92 => ( ( isCountable0(szDzozmdt0(W0))
% 0.61/0.92 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.61/0.92 => ( aElement0(szDzizrdt0(W0))
% 0.61/0.92 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3291,hypothesis,
% 0.61/0.92 ( aSet0(xT)
% 0.61/0.92 & isFinite0(xT) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3418,hypothesis,
% 0.61/0.92 aElementOf0(xK,szNzAzT0) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3435,hypothesis,
% 0.61/0.92 ( aSubsetOf0(xS,szNzAzT0)
% 0.61/0.92 & isCountable0(xS) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3453,hypothesis,
% 0.61/0.92 ( aFunction0(xc)
% 0.61/0.92 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.61/0.92 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3398,hypothesis,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ! [W1] :
% 0.61/0.92 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.61/0.92 & isCountable0(W1) )
% 0.61/0.92 => ! [W2] :
% 0.61/0.92 ( ( aFunction0(W2)
% 0.61/0.92 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.61/0.92 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.61/0.92 => ( iLess0(W0,xK)
% 0.61/0.92 => ? [W3] :
% 0.61/0.92 ( aElementOf0(W3,xT)
% 0.61/0.92 & ? [W4] :
% 0.61/0.92 ( aSubsetOf0(W4,W1)
% 0.61/0.92 & isCountable0(W4)
% 0.61/0.92 & ! [W5] :
% 0.61/0.92 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.61/0.92 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3462,hypothesis,
% 0.61/0.92 xK != sz00 ).
% 0.61/0.92
% 0.61/0.92 fof(m__3520,hypothesis,
% 0.61/0.92 xK != sz00 ).
% 0.61/0.92
% 0.61/0.92 fof(m__3533,hypothesis,
% 0.61/0.92 ( aElementOf0(xk,szNzAzT0)
% 0.61/0.92 & szszuzczcdt0(xk) = xK ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3623,hypothesis,
% 0.61/0.92 ( aFunction0(xN)
% 0.61/0.92 & szDzozmdt0(xN) = szNzAzT0
% 0.61/0.92 & sdtlpdtrp0(xN,sz00) = xS
% 0.61/0.92 & ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.61/0.92 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 0.61/0.92 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.61/0.92 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3671,hypothesis,
% 0.61/0.92 ! [W0] :
% 0.61/0.92 ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.61/0.92 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3754,hypothesis,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0) )
% 0.61/0.92 => ( sdtlseqdt0(W1,W0)
% 0.61/0.92 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3821,hypothesis,
% 0.61/0.92 ! [W0,W1] :
% 0.61/0.92 ( ( aElementOf0(W0,szNzAzT0)
% 0.61/0.92 & aElementOf0(W1,szNzAzT0)
% 0.61/0.92 & W0 != W1 )
% 0.61/0.92 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3989,hypothesis,
% 0.61/0.92 aElementOf0(xi,szNzAzT0) ).
% 0.61/0.92
% 0.61/0.92 fof(m__3989_02,hypothesis,
% 0.61/0.92 aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ).
% 0.61/0.92
% 0.61/0.92 fof(m__4007,hypothesis,
% 0.61/0.92 sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ).
% 0.61/0.92
% 0.61/0.92 fof(m__,conjecture,
% 0.61/0.92 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ).
% 0.61/0.92
% 0.61/0.92 %------------------------------------------------------------------------------
% 0.61/0.92 %-------------------------------------------
% 0.61/0.92 % Proof found
% 0.61/0.92 % SZS status Theorem for theBenchmark
% 0.61/0.92 % SZS output start Proof
% 0.61/0.92 %ClaNum:254(EqnAxiom:88)
% 0.61/0.92 %VarNum:1152(SingletonVarNum:334)
% 0.61/0.92 %MaxLitNum:9
% 0.61/0.92 %MaxfuncDepth:4
% 0.61/0.92 %SharedTerms:47
% 0.61/0.92 %goalClause: 112
% 0.61/0.92 %singleGoalClaCount:1
% 0.61/0.92 [92]P1(a37)
% 0.61/0.92 [93]P1(a42)
% 0.61/0.92 [94]P5(a33)
% 0.61/0.92 [95]P5(a42)
% 0.61/0.92 [96]P6(a37)
% 0.61/0.92 [97]P6(a43)
% 0.61/0.92 [98]P2(a45)
% 0.61/0.92 [99]P2(a41)
% 0.61/0.92 [101]P3(a3,a37)
% 0.61/0.92 [102]P3(a40,a37)
% 0.61/0.92 [103]P3(a1,a37)
% 0.61/0.92 [104]P3(a46,a37)
% 0.61/0.92 [105]P7(a43,a37)
% 0.61/0.92 [111]~E(a3,a40)
% 0.61/0.92 [89]E(f2(a1),a40)
% 0.61/0.92 [90]E(f4(a3),a33)
% 0.61/0.92 [91]E(f35(a41),a37)
% 0.61/0.92 [100]E(f5(a41,a3),a43)
% 0.61/0.92 [106]E(f34(a43,a40),f35(a45))
% 0.61/0.92 [112]~P7(f5(a41,a46),a43)
% 0.61/0.92 [107]P7(f6(a45,f35(a45)),a42)
% 0.61/0.92 [108]E(f7(f31(a44,f38(f5(a41,a46)))),a40)
% 0.61/0.92 [109]P3(a44,f34(f32(f5(a41,a46),f38(f5(a41,a46))),a1))
% 0.61/0.92 [113]P1(x1131)+~E(x1131,a33)
% 0.61/0.92 [120]~P1(x1201)+P7(x1201,x1201)
% 0.61/0.92 [127]~P3(x1271,a37)+P9(a3,x1271)
% 0.61/0.92 [133]P9(x1331,x1331)+~P3(x1331,a37)
% 0.61/0.92 [117]~P2(x1171)+P1(f35(x1171))
% 0.61/0.92 [118]~P1(x1181)+P4(f7(x1181))
% 0.61/0.92 [122]~P3(x1221,a37)+~E(f2(x1221),a3)
% 0.61/0.92 [123]~P3(x1231,a37)+~E(f2(x1231),x1231)
% 0.61/0.92 [125]~P3(x1251,a37)+P5(f4(x1251))
% 0.61/0.92 [134]~P3(x1341,a37)+P3(f2(x1341),a37)
% 0.61/0.92 [135]~P3(x1351,a37)+P9(x1351,f2(x1351))
% 0.61/0.92 [136]~P3(x1361,a37)+P8(x1361,f2(x1361))
% 0.61/0.92 [145]~P3(x1451,a37)+P6(f5(a41,x1451))
% 0.61/0.92 [146]~P3(x1461,a37)+~P9(f2(x1461),a3)
% 0.61/0.92 [154]~P3(x1541,a37)+P7(f5(a41,x1541),a37)
% 0.61/0.92 [126]~P3(x1261,a37)+E(f7(f4(x1261)),x1261)
% 0.61/0.92 [121]~P3(x1212,x1211)+~E(x1211,a33)
% 0.61/0.92 [116]~P1(x1161)+~P6(x1161)+~E(x1161,a33)
% 0.61/0.92 [119]~P5(x1191)+~P6(x1191)+~P1(x1191)
% 0.61/0.92 [114]~P1(x1141)+~E(x1141,a33)+E(f7(x1141),a3)
% 0.61/0.92 [115]~P1(x1151)+E(x1151,a33)+~E(f7(x1151),a3)
% 0.61/0.92 [124]~P1(x1241)+P3(f8(x1241),x1241)+E(x1241,a33)
% 0.61/0.92 [130]~P1(x1301)+~P5(x1301)+P3(f7(x1301),a37)
% 0.61/0.92 [137]~P3(x1371,a37)+E(x1371,a3)+P3(f19(x1371),a37)
% 0.61/0.92 [138]~P1(x1381)+P5(x1381)+~P3(f7(x1381),a37)
% 0.61/0.92 [144]~P5(x1441)+~P7(x1441,a37)+P3(f9(x1441),a37)
% 0.61/0.92 [128]~P3(x1281,a37)+E(x1281,a3)+E(f2(f19(x1281)),x1281)
% 0.61/0.92 [156]~P5(x1561)+~P7(x1561,a37)+P7(x1561,f4(f9(x1561)))
% 0.61/0.92 [131]~P7(x1311,x1312)+P1(x1311)+~P1(x1312)
% 0.61/0.92 [132]~P3(x1321,x1322)+P4(x1321)+~P1(x1322)
% 0.61/0.92 [129]P1(x1291)+~P3(x1292,a37)+~E(x1291,f4(x1292))
% 0.61/0.92 [157]~P4(x1572)+~P2(x1571)+P7(f29(x1571,x1572),f35(x1571))
% 0.61/0.92 [173]~P2(x1731)+~P3(x1732,f35(x1731))+P4(f5(x1731,x1732))
% 0.61/0.92 [175]~P1(x1751)+~P3(x1752,x1751)+E(f31(f32(x1751,x1752),x1752),x1751)
% 0.61/0.92 [211]~P2(x2111)+~P3(x2112,f35(x2111))+P3(f5(x2111,x2112),f6(x2111,f35(x2111)))
% 0.61/0.92 [201]~P2(x2011)+~P6(f35(x2011))+P4(f36(x2011))+~P5(f6(x2011,f35(x2011)))
% 0.61/0.92 [220]~P2(x2201)+~P6(f35(x2201))+~P5(f6(x2201,f35(x2201)))+P6(f29(x2201,f36(x2201)))
% 0.61/0.92 [223]~P3(x2231,a37)+~P7(f5(a41,x2231),a37)+~P6(f5(a41,x2231))+P6(f5(a41,f2(x2231)))
% 0.61/0.92 [242]~P3(x2421,a37)+~P7(f5(a41,x2421),a37)+~P6(f5(a41,x2421))+P7(f5(a41,f2(x2421)),f32(f5(a41,x2421),f38(f5(a41,x2421))))
% 0.61/0.92 [139]~P5(x1392)+~P7(x1391,x1392)+P5(x1391)+~P1(x1392)
% 0.61/0.92 [143]P3(x1432,x1431)+~E(x1432,f38(x1431))+~P7(x1431,a37)+E(x1431,a33)
% 0.61/0.92 [148]~P1(x1481)+~P4(x1482)+~P5(x1481)+P5(f31(x1481,x1482))
% 0.61/0.92 [149]~P1(x1491)+~P4(x1492)+~P5(x1491)+P5(f32(x1491,x1492))
% 0.61/0.92 [150]~P1(x1501)+~P4(x1502)+~P6(x1501)+P6(f31(x1501,x1502))
% 0.61/0.92 [151]~P1(x1511)+~P4(x1512)+~P6(x1511)+P6(f32(x1511,x1512))
% 0.61/0.92 [152]~P1(x1521)+P5(x1521)+~P3(x1522,a37)+~E(f34(x1521,x1522),a33)
% 0.61/0.92 [155]E(x1551,x1552)+~E(f2(x1551),f2(x1552))+~P3(x1552,a37)+~P3(x1551,a37)
% 0.61/0.92 [160]~P1(x1602)+~P5(x1602)+~P7(x1601,x1602)+P9(f7(x1601),f7(x1602))
% 0.61/0.92 [163]~P1(x1631)+~P5(x1631)+~P3(x1632,a37)+P5(f34(x1631,x1632))
% 0.61/0.92 [172]~P1(x1721)+~P1(x1722)+P7(x1721,x1722)+P3(f20(x1722,x1721),x1721)
% 0.61/0.92 [179]P9(x1791,x1792)+P9(f2(x1792),x1791)+~P3(x1792,a37)+~P3(x1791,a37)
% 0.61/0.92 [191]~P9(x1911,x1912)+~P3(x1912,a37)+~P3(x1911,a37)+P7(f4(x1911),f4(x1912))
% 0.61/0.92 [192]~P9(x1921,x1922)+~P3(x1922,a37)+~P3(x1921,a37)+P9(f2(x1921),f2(x1922))
% 0.61/0.92 [194]~P1(x1941)+~P1(x1942)+P7(x1941,x1942)+~P3(f20(x1942,x1941),x1942)
% 0.61/0.92 [196]P9(x1961,x1962)+~P3(x1962,a37)+~P3(x1961,a37)+~P7(f4(x1961),f4(x1962))
% 0.61/0.92 [197]P9(x1971,x1972)+~P3(x1972,a37)+~P3(x1971,a37)+~P9(f2(x1971),f2(x1972))
% 0.61/0.92 [215]~P9(x2152,x2151)+~P3(x2152,a37)+~P3(x2151,a37)+P7(f5(a41,x2151),f5(a41,x2152))
% 0.61/0.92 [174]P3(x1742,x1741)+~P1(x1741)+~P4(x1742)+E(f32(f31(x1741,x1742),x1742),x1741)
% 0.61/0.92 [182]~E(x1821,x1822)+~P3(x1822,a37)+~P3(x1821,a37)+P3(x1821,f4(f2(x1822)))
% 0.61/0.92 [203]~P3(x2032,a37)+~P3(x2031,a37)+~P3(x2031,f4(x2032))+P3(x2031,f4(f2(x2032)))
% 0.61/0.92 [219]E(x2191,x2192)+~P3(x2192,a37)+~P3(x2191,a37)+~E(f38(f5(a41,x2191)),f38(f5(a41,x2192)))
% 0.61/0.92 [202]~P1(x2021)+~P5(x2021)+~P3(x2022,x2021)+E(f2(f7(f32(x2021,x2022))),f7(x2021))
% 0.61/0.92 [167]~P1(x1672)+~P7(x1673,x1672)+P3(x1671,x1672)+~P3(x1671,x1673)
% 0.61/0.92 [140]~P1(x1402)+~P4(x1403)+P1(x1401)+~E(x1401,f31(x1402,x1403))
% 0.61/0.92 [141]~P1(x1412)+~P4(x1413)+P1(x1411)+~E(x1411,f32(x1412,x1413))
% 0.61/0.92 [142]~P4(x1423)+~P2(x1422)+P1(x1421)+~E(x1421,f29(x1422,x1423))
% 0.61/0.92 [153]~P1(x1532)+P1(x1531)+~P3(x1533,a37)+~E(x1531,f34(x1532,x1533))
% 0.61/0.92 [161]~P3(x1611,x1612)+~P3(x1613,a37)+P3(x1611,a37)+~E(x1612,f4(x1613))
% 0.61/0.92 [169]~P2(x1692)+P1(x1691)+~P7(x1693,f35(x1692))+~E(x1691,f6(x1692,x1693))
% 0.61/0.92 [170]~P2(x1702)+P2(x1701)+~P7(x1703,f35(x1702))+~E(x1701,f30(x1702,x1703))
% 0.61/0.92 [171]~P2(x1713)+~P7(x1712,f35(x1713))+E(f35(x1711),x1712)+~E(x1711,f30(x1713,x1712))
% 0.61/0.92 [176]~P3(x1761,x1763)+~P3(x1762,a37)+P9(f2(x1761),x1762)+~E(x1763,f4(x1762))
% 0.61/0.92 [158]~P1(x1582)+~P1(x1581)+~P7(x1582,x1581)+~P7(x1581,x1582)+E(x1581,x1582)
% 0.61/0.92 [189]~P9(x1892,x1891)+~P9(x1891,x1892)+E(x1891,x1892)+~P3(x1892,a37)+~P3(x1891,a37)
% 0.61/0.92 [147]~P5(x1471)+P3(x1472,x1471)+~E(x1472,f39(x1471))+~P7(x1471,a37)+E(x1471,a33)
% 0.61/0.92 [166]~P1(x1662)+~P6(x1662)+~P3(x1661,a37)+E(x1661,a3)+P6(f34(x1662,x1661))
% 0.61/0.92 [193]~P3(x1932,x1931)+P3(f25(x1931,x1932),x1931)+~P7(x1931,a37)+E(x1931,a33)+E(x1932,f38(x1931))
% 0.61/0.92 [204]~P1(x2041)+~P5(x2041)+~P3(x2042,a37)+~P9(x2042,f7(x2041))+P7(f26(x2041,x2042),x2041)
% 0.61/0.93 [206]~P1(x2061)+P3(f28(x2062,x2061),x2061)+~P3(x2062,a37)+E(x2061,f4(x2062))+P3(f28(x2062,x2061),a37)
% 0.61/0.93 [207]~P3(x2072,x2071)+~P7(x2071,a37)+~P9(x2072,f25(x2071,x2072))+E(x2071,a33)+E(x2072,f38(x2071))
% 0.61/0.93 [214]~P6(x2142)+~P2(x2141)+~E(f10(x2141,x2142),f11(x2141,x2142))+~P7(x2142,f35(x2141))+P6(f6(x2141,x2142))
% 0.61/0.93 [216]~P6(x2162)+~P2(x2161)+P3(f11(x2161,x2162),f35(x2161))+~P7(x2162,f35(x2161))+P6(f6(x2161,x2162))
% 0.61/0.93 [217]~P6(x2172)+~P2(x2171)+P3(f10(x2171,x2172),f35(x2171))+~P7(x2172,f35(x2171))+P6(f6(x2171,x2172))
% 0.61/0.93 [181]P3(x1812,x1811)+~P1(x1811)+~P4(x1812)+~P5(x1811)+E(f7(f31(x1811,x1812)),f2(f7(x1811)))
% 0.61/0.93 [200]~P1(x2001)+~P5(x2001)+~P3(x2002,a37)+~P9(x2002,f7(x2001))+E(f7(f26(x2001,x2002)),x2002)
% 0.61/0.93 [209]E(x2091,x2092)+P3(x2091,f4(x2092))+~P3(x2092,a37)+~P3(x2091,a37)+~P3(x2091,f4(f2(x2092)))
% 0.61/0.93 [221]~P1(x2211)+P3(f28(x2212,x2211),x2211)+~P3(x2212,a37)+E(x2211,f4(x2212))+P9(f2(f28(x2212,x2211)),x2212)
% 0.61/0.93 [222]~P6(x2222)+~P2(x2221)+~P7(x2222,f35(x2221))+P6(f6(x2221,x2222))+E(f5(x2221,f10(x2221,x2222)),f5(x2221,f11(x2221,x2222)))
% 0.61/0.93 [168]~P3(x1683,x1681)+P9(x1682,x1683)+~E(x1682,f38(x1681))+~P7(x1681,a37)+E(x1681,a33)
% 0.61/0.93 [195]P3(x1951,x1952)+~P3(x1953,a37)+~P3(x1951,a37)+~P9(f2(x1951),x1953)+~E(x1952,f4(x1953))
% 0.61/0.93 [226]~P1(x2261)+~P5(x2263)+~P3(x2262,a37)+~P7(x2263,f34(x2261,x2262))+P5(f13(x2261,x2262,x2263))
% 0.61/0.93 [227]~P1(x2271)+~P5(x2273)+~P3(x2272,a37)+~P7(x2273,f34(x2271,x2272))+P7(f13(x2271,x2272,x2273),x2271)
% 0.61/0.93 [243]~P1(x2432)+~P5(x2431)+~P3(x2433,a37)+~P7(x2431,f34(x2432,x2433))+P7(x2431,f34(f13(x2432,x2433,x2431),x2433))
% 0.61/0.93 [162]~P1(x1624)+~P4(x1622)+~P3(x1621,x1623)+~E(x1621,x1622)+~E(x1623,f32(x1624,x1622))
% 0.61/0.93 [164]~P1(x1643)+~P4(x1644)+~P3(x1641,x1642)+P4(x1641)+~E(x1642,f31(x1643,x1644))
% 0.61/0.93 [165]~P1(x1653)+~P4(x1654)+~P3(x1651,x1652)+P4(x1651)+~E(x1652,f32(x1653,x1654))
% 0.61/0.93 [178]~P1(x1782)+~P4(x1784)+~P3(x1781,x1783)+P3(x1781,x1782)+~E(x1783,f32(x1782,x1784))
% 0.61/0.93 [180]~P4(x1803)+~P2(x1801)+~P3(x1802,x1804)+E(f5(x1801,x1802),x1803)+~E(x1804,f29(x1801,x1803))
% 0.61/0.93 [184]~P1(x1844)+~P3(x1841,x1843)+~P3(x1842,a37)+E(f7(x1841),x1842)+~E(x1843,f34(x1844,x1842))
% 0.61/0.93 [186]~P4(x1864)+~P2(x1862)+~P3(x1861,x1863)+P3(x1861,f35(x1862))+~E(x1863,f29(x1862,x1864))
% 0.61/0.93 [190]~P1(x1902)+~P3(x1901,x1903)+P7(x1901,x1902)+~P3(x1904,a37)+~E(x1903,f34(x1902,x1904))
% 0.61/0.93 [208]~P2(x2083)+~P3(x2082,x2084)+~P7(x2084,f35(x2083))+E(f5(x2081,x2082),f5(x2083,x2082))+~E(x2081,f30(x2083,x2084))
% 0.61/0.93 [249]~P2(x2491)+~P3(x2494,x2493)+~E(x2493,f6(x2491,x2492))+~P7(x2492,f35(x2491))+P3(f17(x2491,x2492,x2493,x2494),x2492)
% 0.61/0.93 [250]~P2(x2501)+~P3(x2504,x2503)+~E(x2503,f6(x2501,x2502))+~P7(x2502,f35(x2501))+E(f5(x2501,f17(x2501,x2502,x2503,x2504)),x2504)
% 0.61/0.93 [199]~P5(x1991)+~P3(x1992,x1991)+P3(f27(x1991,x1992),x1991)+~P7(x1991,a37)+E(x1991,a33)+E(x1992,f39(x1991))
% 0.61/0.93 [212]~P5(x2121)+~P3(x2122,x2121)+~P7(x2121,a37)+~P9(f27(x2121,x2122),x2122)+E(x2121,a33)+E(x2122,f39(x2121))
% 0.61/0.93 [231]~P1(x2311)+~P3(x2312,a37)+~P3(f28(x2312,x2311),x2311)+E(x2311,f4(x2312))+~P3(f28(x2312,x2311),a37)+~P9(f2(f28(x2312,x2311)),x2312)
% 0.61/0.93 [185]~P1(x1852)+~P1(x1851)+~P7(x1853,x1852)+~P7(x1851,x1853)+P7(x1851,x1852)+~P1(x1853)
% 0.61/0.93 [213]~P9(x2131,x2133)+P9(x2131,x2132)+~P9(x2133,x2132)+~P3(x2132,a37)+~P3(x2133,a37)+~P3(x2131,a37)
% 0.61/0.93 [177]~P5(x1771)+~P3(x1772,x1771)+P9(x1772,x1773)+~E(x1773,f39(x1771))+~P7(x1771,a37)+E(x1771,a33)
% 0.61/0.93 [225]~P2(x2251)+~P2(x2252)+P3(f12(x2252,x2253,x2251),x2253)+~E(f35(x2251),x2253)+~P7(x2253,f35(x2252))+E(x2251,f30(x2252,x2253))
% 0.61/0.93 [228]~P1(x2281)+~P1(x2282)+~P4(x2283)+P3(f23(x2282,x2283,x2281),x2281)+~E(f23(x2282,x2283,x2281),x2283)+E(x2281,f32(x2282,x2283))
% 0.61/0.93 [229]~P1(x2291)+~P1(x2292)+~P4(x2293)+P3(f24(x2292,x2293,x2291),x2291)+E(x2291,f31(x2292,x2293))+P4(f24(x2292,x2293,x2291))
% 0.61/0.93 [230]~P1(x2301)+~P1(x2302)+~P4(x2303)+P3(f23(x2302,x2303,x2301),x2301)+E(x2301,f32(x2302,x2303))+P4(f23(x2302,x2303,x2301))
% 0.61/0.93 [232]~P1(x2321)+~P1(x2322)+~P4(x2323)+P3(f23(x2322,x2323,x2321),x2321)+P3(f23(x2322,x2323,x2321),x2322)+E(x2321,f32(x2322,x2323))
% 0.61/0.93 [235]~P1(x2351)+~P4(x2353)+~P2(x2352)+P3(f15(x2352,x2353,x2351),x2351)+P3(f15(x2352,x2353,x2351),f35(x2352))+E(x2351,f29(x2352,x2353))
% 0.61/0.93 [236]~P1(x2361)+~P1(x2362)+P3(f14(x2362,x2363,x2361),x2361)+P7(f14(x2362,x2363,x2361),x2362)+~P3(x2363,a37)+E(x2361,f34(x2362,x2363))
% 0.61/0.93 [239]~P1(x2391)+~P2(x2392)+P3(f16(x2392,x2393,x2391),x2391)+P3(f18(x2392,x2393,x2391),x2393)+~P7(x2393,f35(x2392))+E(x2391,f6(x2392,x2393))
% 0.61/0.93 [233]~P1(x2331)+~P4(x2333)+~P2(x2332)+P3(f15(x2332,x2333,x2331),x2331)+E(x2331,f29(x2332,x2333))+E(f5(x2332,f15(x2332,x2333,x2331)),x2333)
% 0.61/0.93 [234]~P1(x2341)+~P1(x2342)+P3(f14(x2342,x2343,x2341),x2341)+~P3(x2343,a37)+E(x2341,f34(x2342,x2343))+E(f7(f14(x2342,x2343,x2341)),x2343)
% 0.61/0.93 [244]~P1(x2441)+~P2(x2442)+P3(f16(x2442,x2443,x2441),x2441)+~P7(x2443,f35(x2442))+E(x2441,f6(x2442,x2443))+E(f5(x2442,f18(x2442,x2443,x2441)),f16(x2442,x2443,x2441))
% 0.61/0.93 [246]~P2(x2462)+~P2(x2461)+~E(f35(x2461),x2463)+~P7(x2463,f35(x2462))+E(x2461,f30(x2462,x2463))+~E(f5(x2461,f12(x2462,x2463,x2461)),f5(x2462,f12(x2462,x2463,x2461)))
% 0.61/0.93 [159]~P1(x1594)+~P4(x1593)+~P4(x1591)+P3(x1591,x1592)+~E(x1591,x1593)+~E(x1592,f31(x1594,x1593))
% 0.61/0.93 [183]~P1(x1833)+~P4(x1832)+~P3(x1831,x1834)+E(x1831,x1832)+P3(x1831,x1833)+~E(x1834,f31(x1833,x1832))
% 0.61/0.93 [187]~P1(x1873)+~P4(x1874)+~P4(x1871)+~P3(x1871,x1873)+P3(x1871,x1872)+~E(x1872,f31(x1873,x1874))
% 0.61/0.93 [198]~P1(x1984)+~P7(x1981,x1984)+P3(x1981,x1982)+~P3(x1983,a37)+~E(x1982,f34(x1984,x1983))+~E(f7(x1981),x1983)
% 0.61/0.93 [205]~P4(x2054)+~P2(x2053)+P3(x2051,x2052)+~E(f5(x2053,x2051),x2054)+~P3(x2051,f35(x2053))+~E(x2052,f29(x2053,x2054))
% 0.61/0.93 [218]~P2(x2183)+~P3(x2185,x2184)+P3(x2181,x2182)+~P7(x2184,f35(x2183))+~E(x2182,f6(x2183,x2184))+~E(f5(x2183,x2185),x2181)
% 0.61/0.93 [210]E(f38(x2102),f38(x2101))+~P7(x2101,a37)+~P7(x2102,a37)+~P3(f38(x2101),x2102)+~P3(f38(x2102),x2101)+E(x2101,a33)+E(x2102,a33)
% 0.61/0.93 [224]~P1(x2243)+~P1(x2242)+P7(x2242,x2243)+~P3(x2241,a37)+~P7(f34(x2242,x2241),f34(x2243,x2241))+E(x2241,a3)+E(f34(x2242,x2241),a33)
% 0.61/0.93 [241]~P1(x2411)+~P1(x2412)+~P4(x2413)+E(f24(x2412,x2413,x2411),x2413)+P3(f24(x2412,x2413,x2411),x2411)+P3(f24(x2412,x2413,x2411),x2412)+E(x2411,f31(x2412,x2413))
% 0.61/0.93 [247]~P1(x2471)+~P1(x2472)+~P4(x2473)+~E(f24(x2472,x2473,x2471),x2473)+~P3(f24(x2472,x2473,x2471),x2471)+E(x2471,f31(x2472,x2473))+~P4(f24(x2472,x2473,x2471))
% 0.61/0.93 [248]~P1(x2481)+~P1(x2482)+~P4(x2483)+~P3(f24(x2482,x2483,x2481),x2481)+~P3(f24(x2482,x2483,x2481),x2482)+E(x2481,f31(x2482,x2483))+~P4(f24(x2482,x2483,x2481))
% 0.61/0.93 [251]~P1(x2511)+~P1(x2512)+~P3(x2513,a37)+~P3(f14(x2512,x2513,x2511),x2511)+~P7(f14(x2512,x2513,x2511),x2512)+E(x2511,f34(x2512,x2513))+~E(f7(f14(x2512,x2513,x2511)),x2513)
% 0.61/0.93 [252]~P1(x2521)+~P4(x2523)+~P2(x2522)+~P3(f15(x2522,x2523,x2521),x2521)+~P3(f15(x2522,x2523,x2521),f35(x2522))+E(x2521,f29(x2522,x2523))+~E(f5(x2522,f15(x2522,x2523,x2521)),x2523)
% 0.61/0.93 [188]~P1(x1884)+~P4(x1882)+~P4(x1881)+~P3(x1881,x1884)+E(x1881,x1882)+P3(x1881,x1883)+~E(x1883,f32(x1884,x1882))
% 0.61/0.93 [245]~P1(x2451)+~P2(x2452)+~P3(x2454,x2453)+~P7(x2453,f35(x2452))+~P3(f16(x2452,x2453,x2451),x2451)+~E(f5(x2452,x2454),f16(x2452,x2453,x2451))+E(x2451,f6(x2452,x2453))
% 0.61/0.93 [253]~P1(x2531)+~P1(x2532)+~P4(x2533)+E(f23(x2532,x2533,x2531),x2533)+~P3(f23(x2532,x2533,x2531),x2531)+~P3(f23(x2532,x2533,x2531),x2532)+E(x2531,f32(x2532,x2533))+~P4(f23(x2532,x2533,x2531))
% 0.61/0.93 [237]~P6(x2372)+~P2(x2373)+~E(f35(x2373),f34(x2372,x2371))+~P3(x2371,a37)+~P7(x2372,a37)+~P8(x2371,a40)+P6(f21(x2371,x2372,x2373))+~P7(f6(x2373,f35(x2373)),a42)
% 0.61/0.93 [238]~P6(x2382)+~P2(x2383)+~E(f35(x2383),f34(x2382,x2381))+~P3(x2381,a37)+~P7(x2382,a37)+~P8(x2381,a40)+P3(f22(x2381,x2382,x2383),a42)+~P7(f6(x2383,f35(x2383)),a42)
% 0.61/0.93 [240]~P6(x2402)+~P2(x2403)+~E(f35(x2403),f34(x2402,x2401))+~P3(x2401,a37)+~P7(x2402,a37)+~P8(x2401,a40)+P7(f21(x2401,x2402,x2403),x2402)+~P7(f6(x2403,f35(x2403)),a42)
% 0.61/0.93 [254]~P6(x2544)+~P2(x2541)+~E(f35(x2541),f34(x2544,x2543))+~P3(x2543,a37)+~P7(x2544,a37)+~P8(x2543,a40)+E(f5(x2541,x2542),f22(x2543,x2544,x2541))+~P3(x2542,f34(f21(x2543,x2544,x2541),x2543))+~P7(f6(x2541,f35(x2541)),a42)
% 0.61/0.93 %EqnAxiom
% 0.61/0.93 [1]E(x11,x11)
% 0.61/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.61/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.61/0.93 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.61/0.93 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.61/0.93 [6]~E(x61,x62)+E(f35(x61),f35(x62))
% 0.61/0.93 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.61/0.93 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.61/0.93 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 0.61/0.93 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 0.61/0.93 [11]~E(x111,x112)+E(f30(x111,x113),f30(x112,x113))
% 0.61/0.93 [12]~E(x121,x122)+E(f30(x123,x121),f30(x123,x122))
% 0.61/0.93 [13]~E(x131,x132)+E(f16(x131,x133,x134),f16(x132,x133,x134))
% 0.61/0.93 [14]~E(x141,x142)+E(f16(x143,x141,x144),f16(x143,x142,x144))
% 0.61/0.93 [15]~E(x151,x152)+E(f16(x153,x154,x151),f16(x153,x154,x152))
% 0.61/0.93 [16]~E(x161,x162)+E(f6(x161,x163),f6(x162,x163))
% 0.61/0.93 [17]~E(x171,x172)+E(f6(x173,x171),f6(x173,x172))
% 0.61/0.93 [18]~E(x181,x182)+E(f13(x181,x183,x184),f13(x182,x183,x184))
% 0.61/0.93 [19]~E(x191,x192)+E(f13(x193,x191,x194),f13(x193,x192,x194))
% 0.61/0.93 [20]~E(x201,x202)+E(f13(x203,x204,x201),f13(x203,x204,x202))
% 0.61/0.93 [21]~E(x211,x212)+E(f38(x211),f38(x212))
% 0.61/0.93 [22]~E(x221,x222)+E(f31(x221,x223),f31(x222,x223))
% 0.61/0.93 [23]~E(x231,x232)+E(f31(x233,x231),f31(x233,x232))
% 0.61/0.93 [24]~E(x241,x242)+E(f7(x241),f7(x242))
% 0.61/0.93 [25]~E(x251,x252)+E(f32(x251,x253),f32(x252,x253))
% 0.61/0.93 [26]~E(x261,x262)+E(f32(x263,x261),f32(x263,x262))
% 0.61/0.93 [27]~E(x271,x272)+E(f21(x271,x273,x274),f21(x272,x273,x274))
% 0.61/0.93 [28]~E(x281,x282)+E(f21(x283,x281,x284),f21(x283,x282,x284))
% 0.61/0.93 [29]~E(x291,x292)+E(f21(x293,x294,x291),f21(x293,x294,x292))
% 0.61/0.93 [30]~E(x301,x302)+E(f27(x301,x303),f27(x302,x303))
% 0.61/0.93 [31]~E(x311,x312)+E(f27(x313,x311),f27(x313,x312))
% 0.61/0.93 [32]~E(x321,x322)+E(f15(x321,x323,x324),f15(x322,x323,x324))
% 0.61/0.93 [33]~E(x331,x332)+E(f15(x333,x331,x334),f15(x333,x332,x334))
% 0.61/0.93 [34]~E(x341,x342)+E(f15(x343,x344,x341),f15(x343,x344,x342))
% 0.61/0.93 [35]~E(x351,x352)+E(f10(x351,x353),f10(x352,x353))
% 0.61/0.93 [36]~E(x361,x362)+E(f10(x363,x361),f10(x363,x362))
% 0.61/0.93 [37]~E(x371,x372)+E(f14(x371,x373,x374),f14(x372,x373,x374))
% 0.61/0.93 [38]~E(x381,x382)+E(f14(x383,x381,x384),f14(x383,x382,x384))
% 0.61/0.93 [39]~E(x391,x392)+E(f14(x393,x394,x391),f14(x393,x394,x392))
% 0.61/0.93 [40]~E(x401,x402)+E(f26(x401,x403),f26(x402,x403))
% 0.61/0.93 [41]~E(x411,x412)+E(f26(x413,x411),f26(x413,x412))
% 0.61/0.93 [42]~E(x421,x422)+E(f24(x421,x423,x424),f24(x422,x423,x424))
% 0.61/0.93 [43]~E(x431,x432)+E(f24(x433,x431,x434),f24(x433,x432,x434))
% 0.61/0.93 [44]~E(x441,x442)+E(f24(x443,x444,x441),f24(x443,x444,x442))
% 0.61/0.93 [45]~E(x451,x452)+E(f18(x451,x453,x454),f18(x452,x453,x454))
% 0.61/0.93 [46]~E(x461,x462)+E(f18(x463,x461,x464),f18(x463,x462,x464))
% 0.61/0.93 [47]~E(x471,x472)+E(f18(x473,x474,x471),f18(x473,x474,x472))
% 0.61/0.93 [48]~E(x481,x482)+E(f28(x481,x483),f28(x482,x483))
% 0.61/0.93 [49]~E(x491,x492)+E(f28(x493,x491),f28(x493,x492))
% 0.61/0.93 [50]~E(x501,x502)+E(f39(x501),f39(x502))
% 0.61/0.93 [51]~E(x511,x512)+E(f25(x511,x513),f25(x512,x513))
% 0.61/0.93 [52]~E(x521,x522)+E(f25(x523,x521),f25(x523,x522))
% 0.61/0.93 [53]~E(x531,x532)+E(f8(x531),f8(x532))
% 0.61/0.93 [54]~E(x541,x542)+E(f23(x541,x543,x544),f23(x542,x543,x544))
% 0.61/0.93 [55]~E(x551,x552)+E(f23(x553,x551,x554),f23(x553,x552,x554))
% 0.61/0.93 [56]~E(x561,x562)+E(f23(x563,x564,x561),f23(x563,x564,x562))
% 0.61/0.93 [57]~E(x571,x572)+E(f29(x571,x573),f29(x572,x573))
% 0.61/0.93 [58]~E(x581,x582)+E(f29(x583,x581),f29(x583,x582))
% 0.61/0.93 [59]~E(x591,x592)+E(f12(x591,x593,x594),f12(x592,x593,x594))
% 0.61/0.93 [60]~E(x601,x602)+E(f12(x603,x601,x604),f12(x603,x602,x604))
% 0.61/0.93 [61]~E(x611,x612)+E(f12(x613,x614,x611),f12(x613,x614,x612))
% 0.61/0.93 [62]~E(x621,x622)+E(f19(x621),f19(x622))
% 0.61/0.93 [63]~E(x631,x632)+E(f9(x631),f9(x632))
% 0.61/0.93 [64]~E(x641,x642)+E(f17(x641,x643,x644,x645),f17(x642,x643,x644,x645))
% 0.61/0.93 [65]~E(x651,x652)+E(f17(x653,x651,x654,x655),f17(x653,x652,x654,x655))
% 0.61/0.93 [66]~E(x661,x662)+E(f17(x663,x664,x661,x665),f17(x663,x664,x662,x665))
% 0.61/0.93 [67]~E(x671,x672)+E(f17(x673,x674,x675,x671),f17(x673,x674,x675,x672))
% 0.61/0.93 [68]~E(x681,x682)+E(f20(x681,x683),f20(x682,x683))
% 0.61/0.93 [69]~E(x691,x692)+E(f20(x693,x691),f20(x693,x692))
% 0.61/0.93 [70]~E(x701,x702)+E(f36(x701),f36(x702))
% 0.61/0.93 [71]~E(x711,x712)+E(f11(x711,x713),f11(x712,x713))
% 0.61/0.93 [72]~E(x721,x722)+E(f11(x723,x721),f11(x723,x722))
% 0.61/0.93 [73]~E(x731,x732)+E(f22(x731,x733,x734),f22(x732,x733,x734))
% 0.61/0.93 [74]~E(x741,x742)+E(f22(x743,x741,x744),f22(x743,x742,x744))
% 0.61/0.93 [75]~E(x751,x752)+E(f22(x753,x754,x751),f22(x753,x754,x752))
% 0.61/0.93 [76]~P1(x761)+P1(x762)+~E(x761,x762)
% 0.61/0.93 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 0.61/0.93 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 0.61/0.93 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 0.61/0.93 [80]P7(x802,x803)+~E(x801,x802)+~P7(x801,x803)
% 0.61/0.93 [81]P7(x813,x812)+~E(x811,x812)+~P7(x813,x811)
% 0.61/0.93 [82]~P6(x821)+P6(x822)+~E(x821,x822)
% 0.61/0.93 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 0.61/0.93 [84]~P2(x841)+P2(x842)+~E(x841,x842)
% 0.61/0.93 [85]P9(x852,x853)+~E(x851,x852)+~P9(x851,x853)
% 0.61/0.93 [86]P9(x863,x862)+~E(x861,x862)+~P9(x863,x861)
% 0.61/0.93 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.61/0.93 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.61/0.93
% 0.61/0.93 %-------------------------------------------
% 0.61/0.93 cnf(258,plain,
% 0.61/0.93 (~P3(x2581,f4(a3))),
% 0.61/0.93 inference(scs_inference,[],[101,89,90,2,133,121])).
% 0.61/0.93 cnf(260,plain,
% 0.61/0.93 (P1(f4(a3))),
% 0.61/0.93 inference(scs_inference,[],[101,89,90,2,133,121,113])).
% 0.61/0.93 cnf(262,plain,
% 0.61/0.93 (~E(a37,f4(a3))),
% 0.61/0.93 inference(scs_inference,[],[101,89,90,2,133,121,113,78])).
% 0.61/0.93 cnf(263,plain,
% 0.61/0.93 (P3(f2(a1),a37)),
% 0.61/0.93 inference(scs_inference,[],[101,102,89,90,2,133,121,113,78,77])).
% 0.61/0.93 cnf(264,plain,
% 0.61/0.93 (P1(a33)),
% 0.61/0.93 inference(scs_inference,[],[101,102,89,90,2,133,121,113,78,77,76])).
% 0.61/0.93 cnf(266,plain,
% 0.61/0.93 (~P5(a37)),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119])).
% 0.61/0.93 cnf(272,plain,
% 0.61/0.93 (P7(f4(a3),f4(a3))),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191])).
% 0.61/0.93 cnf(274,plain,
% 0.61/0.93 (P9(a3,a40)),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127])).
% 0.61/0.93 cnf(278,plain,
% 0.61/0.93 (P7(f5(a41,a3),a37)),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154])).
% 0.61/0.93 cnf(288,plain,
% 0.61/0.93 (P3(f2(a3),a37)),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134])).
% 0.61/0.93 cnf(292,plain,
% 0.61/0.93 (P5(f4(a3))),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125])).
% 0.61/0.93 cnf(294,plain,
% 0.61/0.93 (~E(f2(a3),a3)),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123])).
% 0.61/0.93 cnf(298,plain,
% 0.61/0.93 (P4(f7(a37))),
% 0.61/0.93 inference(scs_inference,[],[92,96,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118])).
% 0.61/0.93 cnf(367,plain,
% 0.61/0.93 (E(f34(x3671,f2(a1)),f34(x3671,a40))),
% 0.61/0.93 inference(scs_inference,[],[92,96,98,101,102,111,89,90,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 0.61/0.93 cnf(378,plain,
% 0.61/0.93 (~P7(f5(a41,a46),f5(a41,a3))),
% 0.61/0.93 inference(scs_inference,[],[112,92,96,97,98,101,102,111,89,90,100,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81])).
% 0.61/0.93 cnf(382,plain,
% 0.61/0.93 (P1(a43)),
% 0.61/0.93 inference(scs_inference,[],[112,92,94,96,97,98,101,102,105,111,89,90,100,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131])).
% 0.61/0.93 cnf(386,plain,
% 0.61/0.93 (~P3(f7(a37),a37)),
% 0.61/0.93 inference(scs_inference,[],[112,92,94,96,97,98,101,102,105,111,89,90,100,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138])).
% 0.61/0.93 cnf(392,plain,
% 0.61/0.93 (E(f2(f19(f2(a3))),f2(a3))),
% 0.61/0.93 inference(scs_inference,[],[112,92,94,96,97,98,101,102,105,111,89,90,100,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128])).
% 0.61/0.93 cnf(418,plain,
% 0.61/0.93 (P7(f5(a41,a3),f5(a41,a3))),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215])).
% 0.61/0.93 cnf(420,plain,
% 0.61/0.93 (~P9(f2(f2(a3)),f2(a3))),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215,197])).
% 0.61/0.93 cnf(432,plain,
% 0.61/0.93 (~E(a37,f32(f4(a3),f7(a37)))),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215,197,196,160,174,223,242,178])).
% 0.61/0.93 cnf(434,plain,
% 0.61/0.93 (~E(f4(a3),f4(f2(a3)))),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215,197,196,160,174,223,242,178,195])).
% 0.61/0.93 cnf(438,plain,
% 0.61/0.93 (P3(f28(a3,a37),a37)),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215,197,196,160,174,223,242,178,195,166,206])).
% 0.61/0.93 cnf(440,plain,
% 0.61/0.93 (~E(f4(a3),f31(a37,f7(a37)))),
% 0.61/0.93 inference(scs_inference,[],[112,92,93,94,95,96,97,98,101,102,105,111,89,90,100,107,2,133,121,113,78,77,76,3,119,116,192,191,127,120,154,146,145,136,135,134,126,125,123,122,118,117,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,81,79,132,131,129,138,137,130,128,157,175,167,139,161,153,163,152,151,150,149,148,215,197,196,160,174,223,242,178,195,166,206,187])).
% 0.61/0.93 cnf(471,plain,
% 0.61/0.93 (E(f34(x4711,f2(a1)),f34(x4711,a40))),
% 0.61/0.93 inference(rename_variables,[],[367])).
% 0.61/0.93 cnf(474,plain,
% 0.61/0.93 (~P3(x4741,f4(a3))),
% 0.61/0.93 inference(rename_variables,[],[258])).
% 0.61/0.93 cnf(477,plain,
% 0.61/0.93 (~P3(x4771,f4(a3))),
% 0.61/0.93 inference(rename_variables,[],[258])).
% 0.61/0.93 cnf(480,plain,
% 0.61/0.93 (~P3(x4801,f4(a3))),
% 0.61/0.93 inference(rename_variables,[],[258])).
% 0.61/0.93 cnf(510,plain,
% 0.61/0.93 (~P3(x5101,f4(a3))),
% 0.61/0.93 inference(rename_variables,[],[258])).
% 0.61/0.93 cnf(539,plain,
% 0.61/0.93 ($false),
% 0.61/0.93 inference(scs_inference,[],[112,99,103,104,108,97,111,93,95,107,102,94,92,101,89,418,378,367,471,258,474,477,480,510,440,392,262,294,420,434,260,272,292,298,278,432,263,288,386,438,264,266,274,382,176,219,155,189,190,221,232,229,231,121,132,131,130,124,157,167,182,153,163,148,215,174,166,86,85,80,3,119,116,175,139,152,151,150,149,160,206,127]),
% 0.61/0.93 ['proof']).
% 0.61/0.93 % SZS output end Proof
% 0.61/0.93 % Total time :0.230000s
%------------------------------------------------------------------------------