TSTP Solution File: NUM568+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM568+1 : 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 : n029.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 10:23:10 EDT 2023
% Result : Theorem 0.81s 0.91s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 12:16:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.67/0.89 %-------------------------------------------
% 0.67/0.89 % File :CSE---1.6
% 0.67/0.89 % Problem :theBenchmark
% 0.67/0.89 % Transform :cnf
% 0.67/0.89 % Format :tptp:raw
% 0.67/0.89 % Command :java -jar mcs_scs.jar %d %s
% 0.67/0.89
% 0.67/0.89 % Result :Theorem 0.200000s
% 0.67/0.89 % Output :CNFRefutation 0.200000s
% 0.67/0.89 %-------------------------------------------
% 0.81/0.89 %------------------------------------------------------------------------------
% 0.81/0.89 % File : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% 0.81/0.89 % Domain : Number Theory
% 0.81/0.89 % Problem : Ramsey's Infinite Theorem 15_02_01, 00 expansion
% 0.81/0.89 % Version : Especial.
% 0.81/0.89 % English :
% 0.81/0.89
% 0.81/0.89 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.81/0.89 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.81/0.89 % Source : [Pas08]
% 0.81/0.89 % Names : ramsey_15_02_01.00 [Pas08]
% 0.81/0.89
% 0.81/0.89 % Status : Theorem
% 0.81/0.89 % Rating : 0.22 v8.1.0, 0.14 v7.5.0, 0.12 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 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, 0.09 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.30 v5.1.0, 0.43 v5.0.0, 0.50 v4.1.0, 0.57 v4.0.1, 0.83 v4.0.0
% 0.81/0.89 % Syntax : Number of formulae : 80 ( 6 unt; 11 def)
% 0.81/0.89 % Number of atoms : 313 ( 53 equ)
% 0.81/0.89 % Maximal formula atoms : 12 ( 3 avg)
% 0.81/0.89 % Number of connectives : 255 ( 22 ~; 4 |; 94 &)
% 0.81/0.89 % ( 22 <=>; 113 =>; 0 <=; 0 <~>)
% 0.81/0.89 % Maximal formula depth : 15 ( 5 avg)
% 0.81/0.89 % Maximal term depth : 4 ( 1 avg)
% 0.81/0.89 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.81/0.89 % Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% 0.81/0.89 % Number of variables : 146 ( 137 !; 9 ?)
% 0.81/0.89 % SPC : FOF_THM_RFO_SEQ
% 0.81/0.89
% 0.81/0.89 % Comments : Problem generated by the SAD system [VLP07]
% 0.81/0.89 %------------------------------------------------------------------------------
% 0.81/0.89 fof(mSetSort,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aSet0(W0)
% 0.81/0.89 => $true ) ).
% 0.81/0.89
% 0.81/0.89 fof(mElmSort,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aElement0(W0)
% 0.81/0.89 => $true ) ).
% 0.81/0.89
% 0.81/0.89 fof(mEOfElem,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aSet0(W0)
% 0.81/0.89 => ! [W1] :
% 0.81/0.89 ( aElementOf0(W1,W0)
% 0.81/0.89 => aElement0(W1) ) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mFinRel,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aSet0(W0)
% 0.81/0.89 => ( isFinite0(W0)
% 0.81/0.89 => $true ) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mDefEmp,definition,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( W0 = slcrc0
% 0.81/0.89 <=> ( aSet0(W0)
% 0.81/0.89 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mEmpFin,axiom,
% 0.81/0.89 isFinite0(slcrc0) ).
% 0.81/0.89
% 0.81/0.89 fof(mCntRel,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aSet0(W0)
% 0.81/0.89 => ( isCountable0(W0)
% 0.81/0.89 => $true ) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mCountNFin,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( ( aSet0(W0)
% 0.81/0.89 & isCountable0(W0) )
% 0.81/0.89 => ~ isFinite0(W0) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mCountNFin_01,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( ( aSet0(W0)
% 0.81/0.89 & isCountable0(W0) )
% 0.81/0.89 => W0 != slcrc0 ) ).
% 0.81/0.89
% 0.81/0.89 fof(mDefSub,definition,
% 0.81/0.89 ! [W0] :
% 0.81/0.89 ( aSet0(W0)
% 0.81/0.89 => ! [W1] :
% 0.81/0.89 ( aSubsetOf0(W1,W0)
% 0.81/0.89 <=> ( aSet0(W1)
% 0.81/0.89 & ! [W2] :
% 0.81/0.89 ( aElementOf0(W2,W1)
% 0.81/0.89 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.81/0.89
% 0.81/0.89 fof(mSubFSet,axiom,
% 0.81/0.89 ! [W0] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & isFinite0(W0) )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aSubsetOf0(W1,W0)
% 0.81/0.90 => isFinite0(W1) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSubRefl,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => aSubsetOf0(W0,W0) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSubASymm,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aSet0(W1) )
% 0.81/0.90 => ( ( aSubsetOf0(W0,W1)
% 0.81/0.90 & aSubsetOf0(W1,W0) )
% 0.81/0.90 => W0 = W1 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSubTrans,axiom,
% 0.81/0.90 ! [W0,W1,W2] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aSet0(W1)
% 0.81/0.90 & aSet0(W2) )
% 0.81/0.90 => ( ( aSubsetOf0(W0,W1)
% 0.81/0.90 & aSubsetOf0(W1,W2) )
% 0.81/0.90 => aSubsetOf0(W0,W2) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefCons,definition,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aElement0(W1) )
% 0.81/0.90 => ! [W2] :
% 0.81/0.90 ( W2 = sdtpldt0(W0,W1)
% 0.81/0.90 <=> ( aSet0(W2)
% 0.81/0.90 & ! [W3] :
% 0.81/0.90 ( aElementOf0(W3,W2)
% 0.81/0.90 <=> ( aElement0(W3)
% 0.81/0.90 & ( aElementOf0(W3,W0)
% 0.81/0.90 | W3 = W1 ) ) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefDiff,definition,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aElement0(W1) )
% 0.81/0.90 => ! [W2] :
% 0.81/0.90 ( W2 = sdtmndt0(W0,W1)
% 0.81/0.90 <=> ( aSet0(W2)
% 0.81/0.90 & ! [W3] :
% 0.81/0.90 ( aElementOf0(W3,W2)
% 0.81/0.90 <=> ( aElement0(W3)
% 0.81/0.90 & aElementOf0(W3,W0)
% 0.81/0.90 & W3 != W1 ) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mConsDiff,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aElementOf0(W1,W0)
% 0.81/0.90 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDiffCons,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElement0(W0)
% 0.81/0.90 & aSet0(W1) )
% 0.81/0.90 => ( ~ aElementOf0(W0,W1)
% 0.81/0.90 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCConsSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElement0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( aSet0(W1)
% 0.81/0.90 & isCountable0(W1) )
% 0.81/0.90 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCDiffSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElement0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( aSet0(W1)
% 0.81/0.90 & isCountable0(W1) )
% 0.81/0.90 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mFConsSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElement0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( aSet0(W1)
% 0.81/0.90 & isFinite0(W1) )
% 0.81/0.90 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mFDiffSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElement0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( aSet0(W1)
% 0.81/0.90 & isFinite0(W1) )
% 0.81/0.90 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mNATSet,axiom,
% 0.81/0.90 ( aSet0(szNzAzT0)
% 0.81/0.90 & isCountable0(szNzAzT0) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mZeroNum,axiom,
% 0.81/0.90 aElementOf0(sz00,szNzAzT0) ).
% 0.81/0.90
% 0.81/0.90 fof(mSuccNum,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.81/0.90 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSuccEquSucc,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.81/0.90 => W0 = W1 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mNatExtra,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => ( W0 = sz00
% 0.81/0.90 | ? [W1] :
% 0.81/0.90 ( aElementOf0(W1,szNzAzT0)
% 0.81/0.90 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mNatNSucc,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => W0 != szszuzczcdt0(W0) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessRel,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( sdtlseqdt0(W0,W1)
% 0.81/0.90 => $true ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mZeroLess,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => sdtlseqdt0(sz00,W0) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mNoScLessZr,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSuccLess,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( sdtlseqdt0(W0,W1)
% 0.81/0.90 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessSucc,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessRefl,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => sdtlseqdt0(W0,W0) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessASymm,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( ( sdtlseqdt0(W0,W1)
% 0.81/0.90 & sdtlseqdt0(W1,W0) )
% 0.81/0.90 => W0 = W1 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessTrans,axiom,
% 0.81/0.90 ! [W0,W1,W2] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0)
% 0.81/0.90 & aElementOf0(W2,szNzAzT0) )
% 0.81/0.90 => ( ( sdtlseqdt0(W0,W1)
% 0.81/0.90 & sdtlseqdt0(W1,W2) )
% 0.81/0.90 => sdtlseqdt0(W0,W2) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mLessTotal,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( sdtlseqdt0(W0,W1)
% 0.81/0.90 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mIHSort,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( iLess0(W0,W1)
% 0.81/0.90 => $true ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mIH,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardS,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => aElement0(sbrdtbr0(W0)) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardNum,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.81/0.90 <=> isFinite0(W0) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardEmpty,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => ( sbrdtbr0(W0) = sz00
% 0.81/0.90 <=> W0 = slcrc0 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardCons,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & isFinite0(W0) )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aElement0(W1)
% 0.81/0.90 => ( ~ aElementOf0(W1,W0)
% 0.81/0.90 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardDiff,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( isFinite0(W0)
% 0.81/0.90 & aElementOf0(W1,W0) )
% 0.81/0.90 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardSub,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aSet0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( isFinite0(W0)
% 0.81/0.90 & aSubsetOf0(W1,W0) )
% 0.81/0.90 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardSubEx,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( ( isFinite0(W0)
% 0.81/0.90 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.81/0.90 => ? [W2] :
% 0.81/0.90 ( aSubsetOf0(W2,W0)
% 0.81/0.90 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefMin,definition,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.81/0.90 & W0 != slcrc0 )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( W1 = szmzizndt0(W0)
% 0.81/0.90 <=> ( aElementOf0(W1,W0)
% 0.81/0.90 & ! [W2] :
% 0.81/0.90 ( aElementOf0(W2,W0)
% 0.81/0.90 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefMax,definition,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.81/0.90 & isFinite0(W0)
% 0.81/0.90 & W0 != slcrc0 )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( W1 = szmzazxdt0(W0)
% 0.81/0.90 <=> ( aElementOf0(W1,W0)
% 0.81/0.90 & ! [W2] :
% 0.81/0.90 ( aElementOf0(W2,W0)
% 0.81/0.90 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mMinMin,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.81/0.90 & aSubsetOf0(W1,szNzAzT0)
% 0.81/0.90 & W0 != slcrc0
% 0.81/0.90 & W1 != slcrc0 )
% 0.81/0.90 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.81/0.90 & aElementOf0(szmzizndt0(W1),W0) )
% 0.81/0.90 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefSeg,definition,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( W1 = slbdtrb0(W0)
% 0.81/0.90 <=> ( aSet0(W1)
% 0.81/0.90 & ! [W2] :
% 0.81/0.90 ( aElementOf0(W2,W1)
% 0.81/0.90 <=> ( aElementOf0(W2,szNzAzT0)
% 0.81/0.90 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSegFin,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => isFinite0(slbdtrb0(W0)) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSegZero,axiom,
% 0.81/0.90 slbdtrb0(sz00) = slcrc0 ).
% 0.81/0.90
% 0.81/0.90 fof(mSegSucc,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.81/0.90 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.81/0.90 | W0 = W1 ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSegLess,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ( sdtlseqdt0(W0,W1)
% 0.81/0.90 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mFinSubSeg,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.81/0.90 & isFinite0(W0) )
% 0.81/0.90 => ? [W1] :
% 0.81/0.90 ( aElementOf0(W1,szNzAzT0)
% 0.81/0.90 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mCardSeg,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefSel,definition,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ! [W2] :
% 0.81/0.90 ( W2 = slbdtsldtrb0(W0,W1)
% 0.81/0.90 <=> ( aSet0(W2)
% 0.81/0.90 & ! [W3] :
% 0.81/0.90 ( aElementOf0(W3,W2)
% 0.81/0.90 <=> ( aSubsetOf0(W3,W0)
% 0.81/0.90 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSelFSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & isFinite0(W0) )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aElementOf0(W1,szNzAzT0)
% 0.81/0.90 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSelNSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & ~ isFinite0(W0) )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aElementOf0(W1,szNzAzT0)
% 0.81/0.90 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSelCSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & isCountable0(W0) )
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( ( aElementOf0(W1,szNzAzT0)
% 0.81/0.90 & W1 != sz00 )
% 0.81/0.90 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSelSub,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.90 => ! [W1,W2] :
% 0.81/0.90 ( ( aSet0(W1)
% 0.81/0.90 & aSet0(W2)
% 0.81/0.90 & W0 != sz00 )
% 0.81/0.90 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.81/0.90 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.81/0.90 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mSelExtra,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aSet0(W0)
% 0.81/0.90 & aElementOf0(W1,szNzAzT0) )
% 0.81/0.90 => ! [W2] :
% 0.81/0.90 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.81/0.90 & isFinite0(W2) )
% 0.81/0.90 => ? [W3] :
% 0.81/0.90 ( aSubsetOf0(W3,W0)
% 0.81/0.90 & isFinite0(W3)
% 0.81/0.90 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mFunSort,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aFunction0(W0)
% 0.81/0.90 => $true ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDomSet,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aFunction0(W0)
% 0.81/0.90 => aSet0(szDzozmdt0(W0)) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mImgElm,axiom,
% 0.81/0.90 ! [W0] :
% 0.81/0.90 ( aFunction0(W0)
% 0.81/0.90 => ! [W1] :
% 0.81/0.90 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.81/0.90 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mDefPtt,definition,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aFunction0(W0)
% 0.81/0.90 & aElement0(W1) )
% 0.81/0.90 => ! [W2] :
% 0.81/0.90 ( W2 = sdtlbdtrb0(W0,W1)
% 0.81/0.90 <=> ( aSet0(W2)
% 0.81/0.90 & ! [W3] :
% 0.81/0.90 ( aElementOf0(W3,W2)
% 0.81/0.90 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.81/0.90 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.81/0.90
% 0.81/0.90 fof(mPttSet,axiom,
% 0.81/0.90 ! [W0,W1] :
% 0.81/0.90 ( ( aFunction0(W0)
% 0.81/0.90 & aElement0(W1) )
% 0.81/0.90 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.81/0.90
% 0.81/0.91 fof(mDefSImg,definition,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aFunction0(W0)
% 0.81/0.91 => ! [W1] :
% 0.81/0.91 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.81/0.91 => ! [W2] :
% 0.81/0.91 ( W2 = sdtlcdtrc0(W0,W1)
% 0.81/0.91 <=> ( aSet0(W2)
% 0.81/0.91 & ! [W3] :
% 0.81/0.91 ( aElementOf0(W3,W2)
% 0.81/0.91 <=> ? [W4] :
% 0.81/0.91 ( aElementOf0(W4,W1)
% 0.81/0.91 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(mImgRng,axiom,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aFunction0(W0)
% 0.81/0.91 => ! [W1] :
% 0.81/0.91 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.81/0.91 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(mDefRst,definition,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aFunction0(W0)
% 0.81/0.91 => ! [W1] :
% 0.81/0.91 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.81/0.91 => ! [W2] :
% 0.81/0.91 ( W2 = sdtexdt0(W0,W1)
% 0.81/0.91 <=> ( aFunction0(W2)
% 0.81/0.91 & szDzozmdt0(W2) = W1
% 0.81/0.91 & ! [W3] :
% 0.81/0.91 ( aElementOf0(W3,W1)
% 0.81/0.91 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(mImgCount,axiom,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aFunction0(W0)
% 0.81/0.91 => ! [W1] :
% 0.81/0.91 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.81/0.91 & isCountable0(W1) )
% 0.81/0.91 => ( ! [W2,W3] :
% 0.81/0.91 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.81/0.91 & aElementOf0(W3,szDzozmdt0(W0))
% 0.81/0.91 & W2 != W3 )
% 0.81/0.91 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.81/0.91 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(mDirichlet,axiom,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aFunction0(W0)
% 0.81/0.91 => ( ( isCountable0(szDzozmdt0(W0))
% 0.81/0.91 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.81/0.91 => ( aElement0(szDzizrdt0(W0))
% 0.81/0.91 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3291,hypothesis,
% 0.81/0.91 ( aSet0(xT)
% 0.81/0.91 & isFinite0(xT) ) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3418,hypothesis,
% 0.81/0.91 aElementOf0(xK,szNzAzT0) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3435,hypothesis,
% 0.81/0.91 ( aSubsetOf0(xS,szNzAzT0)
% 0.81/0.91 & isCountable0(xS) ) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3453,hypothesis,
% 0.81/0.91 ( aFunction0(xc)
% 0.81/0.91 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.81/0.91 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3398,hypothesis,
% 0.81/0.91 ! [W0] :
% 0.81/0.91 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.91 => ! [W1] :
% 0.81/0.91 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.81/0.91 & isCountable0(W1) )
% 0.81/0.91 => ! [W2] :
% 0.81/0.91 ( ( aFunction0(W2)
% 0.81/0.91 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.81/0.91 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.81/0.91 => ( iLess0(W0,xK)
% 0.81/0.91 => ? [W3] :
% 0.81/0.91 ( aElementOf0(W3,xT)
% 0.81/0.91 & ? [W4] :
% 0.81/0.91 ( aSubsetOf0(W4,W1)
% 0.81/0.91 & isCountable0(W4)
% 0.81/0.91 & ! [W5] :
% 0.81/0.91 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.81/0.91 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.81/0.91
% 0.81/0.91 fof(m__3462,hypothesis,
% 0.81/0.91 xK != sz00 ).
% 0.81/0.91
% 0.81/0.91 fof(m__3520,hypothesis,
% 0.81/0.91 xK != sz00 ).
% 0.81/0.91
% 0.81/0.91 fof(m__,conjecture,
% 0.81/0.91 ? [W0] :
% 0.81/0.91 ( aElementOf0(W0,szNzAzT0)
% 0.81/0.91 & szszuzczcdt0(W0) = xK ) ).
% 0.81/0.91
% 0.81/0.91 %------------------------------------------------------------------------------
% 0.81/0.91 %-------------------------------------------
% 0.81/0.91 % Proof found
% 0.81/0.91 % SZS status Theorem for theBenchmark
% 0.81/0.91 % SZS output start Proof
% 0.81/0.91 %ClaNum:240(EqnAxiom:88)
% 0.81/0.91 %VarNum:1128(SingletonVarNum:327)
% 0.81/0.91 %MaxLitNum:9
% 0.81/0.91 %MaxfuncDepth:3
% 0.81/0.91 %SharedTerms:25
% 0.81/0.91 %goalClause: 114
% 0.81/0.91 [90]P1(a33)
% 0.81/0.91 [91]P1(a36)
% 0.81/0.91 [92]P5(a31)
% 0.81/0.91 [93]P5(a36)
% 0.81/0.91 [94]P6(a33)
% 0.81/0.91 [95]P6(a37)
% 0.81/0.91 [96]P2(a42)
% 0.81/0.91 [97]P3(a1,a33)
% 0.81/0.91 [98]P3(a38,a33)
% 0.81/0.91 [99]P7(a37,a33)
% 0.81/0.91 [103]~E(a38,a1)
% 0.81/0.91 [89]E(f2(a1),a31)
% 0.81/0.91 [100]E(f32(a37,a38),f34(a42))
% 0.81/0.91 [101]P7(f3(a42,f34(a42)),a36)
% 0.81/0.91 [104]P1(x1041)+~E(x1041,a31)
% 0.81/0.91 [111]~P1(x1111)+P7(x1111,x1111)
% 0.81/0.91 [119]~P3(x1191,a33)+P9(a1,x1191)
% 0.81/0.91 [125]P9(x1251,x1251)+~P3(x1251,a33)
% 0.81/0.91 [108]~P2(x1081)+P1(f34(x1081))
% 0.81/0.91 [109]~P1(x1091)+P4(f4(x1091))
% 0.81/0.91 [113]~P3(x1131,a33)+~E(f39(x1131),a1)
% 0.81/0.91 [114]~P3(x1141,a33)+~E(f39(x1141),a38)
% 0.81/0.91 [115]~P3(x1151,a33)+~E(f39(x1151),x1151)
% 0.81/0.91 [117]~P3(x1171,a33)+P5(f2(x1171))
% 0.81/0.91 [126]~P3(x1261,a33)+P3(f39(x1261),a33)
% 0.81/0.91 [127]~P3(x1271,a33)+P9(x1271,f39(x1271))
% 0.81/0.91 [128]~P3(x1281,a33)+P8(x1281,f39(x1281))
% 0.81/0.91 [137]~P3(x1371,a33)+~P9(f39(x1371),a1)
% 0.81/0.91 [118]~P3(x1181,a33)+E(f4(f2(x1181)),x1181)
% 0.81/0.91 [112]~P3(x1122,x1121)+~E(x1121,a31)
% 0.81/0.91 [107]~P1(x1071)+~P6(x1071)+~E(x1071,a31)
% 0.81/0.91 [110]~P5(x1101)+~P6(x1101)+~P1(x1101)
% 0.81/0.91 [105]~P1(x1051)+~E(x1051,a31)+E(f4(x1051),a1)
% 0.81/0.91 [106]~P1(x1061)+E(x1061,a31)+~E(f4(x1061),a1)
% 0.81/0.91 [116]~P1(x1161)+P3(f5(x1161),x1161)+E(x1161,a31)
% 0.81/0.91 [122]~P1(x1221)+~P5(x1221)+P3(f4(x1221),a33)
% 0.81/0.91 [129]~P3(x1291,a33)+E(x1291,a1)+P3(f16(x1291),a33)
% 0.81/0.91 [130]~P1(x1301)+P5(x1301)+~P3(f4(x1301),a33)
% 0.81/0.91 [136]~P5(x1361)+~P7(x1361,a33)+P3(f6(x1361),a33)
% 0.81/0.91 [120]~P3(x1201,a33)+E(x1201,a1)+E(f39(f16(x1201)),x1201)
% 0.81/0.91 [146]~P5(x1461)+~P7(x1461,a33)+P7(x1461,f2(f6(x1461)))
% 0.81/0.91 [123]~P7(x1231,x1232)+P1(x1231)+~P1(x1232)
% 0.81/0.91 [124]~P3(x1241,x1242)+P4(x1241)+~P1(x1242)
% 0.81/0.91 [121]P1(x1211)+~P3(x1212,a33)+~E(x1211,f2(x1212))
% 0.81/0.91 [147]~P4(x1472)+~P2(x1471)+P7(f26(x1471,x1472),f34(x1471))
% 0.81/0.91 [163]~P2(x1631)+~P3(x1632,f34(x1631))+P4(f30(x1631,x1632))
% 0.81/0.91 [165]~P1(x1651)+~P3(x1652,x1651)+E(f28(f29(x1651,x1652),x1652),x1651)
% 0.81/0.91 [201]~P2(x2011)+~P3(x2012,f34(x2011))+P3(f30(x2011,x2012),f3(x2011,f34(x2011)))
% 0.81/0.91 [191]~P2(x1911)+~P6(f34(x1911))+P4(f35(x1911))+~P5(f3(x1911,f34(x1911)))
% 0.81/0.91 [208]~P2(x2081)+~P6(f34(x2081))+~P5(f3(x2081,f34(x2081)))+P6(f26(x2081,f35(x2081)))
% 0.81/0.91 [131]~P5(x1312)+~P7(x1311,x1312)+P5(x1311)+~P1(x1312)
% 0.81/0.91 [135]P3(x1352,x1351)+~E(x1352,f40(x1351))+~P7(x1351,a33)+E(x1351,a31)
% 0.81/0.91 [139]~P1(x1391)+~P4(x1392)+~P5(x1391)+P5(f28(x1391,x1392))
% 0.81/0.91 [140]~P1(x1401)+~P4(x1402)+~P5(x1401)+P5(f29(x1401,x1402))
% 0.81/0.91 [141]~P1(x1411)+~P4(x1412)+~P6(x1411)+P6(f28(x1411,x1412))
% 0.81/0.91 [142]~P1(x1421)+~P4(x1422)+~P6(x1421)+P6(f29(x1421,x1422))
% 0.81/0.91 [143]~P1(x1431)+P5(x1431)+~P3(x1432,a33)+~E(f32(x1431,x1432),a31)
% 0.81/0.91 [145]E(x1451,x1452)+~E(f39(x1451),f39(x1452))+~P3(x1452,a33)+~P3(x1451,a33)
% 0.81/0.91 [150]~P1(x1502)+~P5(x1502)+~P7(x1501,x1502)+P9(f4(x1501),f4(x1502))
% 0.81/0.91 [153]~P1(x1531)+~P5(x1531)+~P3(x1532,a33)+P5(f32(x1531,x1532))
% 0.81/0.91 [162]~P1(x1621)+~P1(x1622)+P7(x1621,x1622)+P3(f17(x1622,x1621),x1621)
% 0.81/0.91 [169]P9(x1691,x1692)+P9(f39(x1692),x1691)+~P3(x1692,a33)+~P3(x1691,a33)
% 0.81/0.91 [181]~P9(x1811,x1812)+~P3(x1812,a33)+~P3(x1811,a33)+P7(f2(x1811),f2(x1812))
% 0.81/0.91 [182]~P9(x1821,x1822)+~P3(x1822,a33)+~P3(x1821,a33)+P9(f39(x1821),f39(x1822))
% 0.81/0.91 [184]~P1(x1841)+~P1(x1842)+P7(x1841,x1842)+~P3(f17(x1842,x1841),x1842)
% 0.81/0.91 [186]P9(x1861,x1862)+~P3(x1862,a33)+~P3(x1861,a33)+~P7(f2(x1861),f2(x1862))
% 0.81/0.91 [187]P9(x1871,x1872)+~P3(x1872,a33)+~P3(x1871,a33)+~P9(f39(x1871),f39(x1872))
% 0.81/0.91 [164]P3(x1642,x1641)+~P1(x1641)+~P4(x1642)+E(f29(f28(x1641,x1642),x1642),x1641)
% 0.81/0.91 [172]~E(x1721,x1722)+~P3(x1722,a33)+~P3(x1721,a33)+P3(x1721,f2(f39(x1722)))
% 0.81/0.91 [193]~P3(x1932,a33)+~P3(x1931,a33)+~P3(x1931,f2(x1932))+P3(x1931,f2(f39(x1932)))
% 0.81/0.91 [192]~P1(x1921)+~P5(x1921)+~P3(x1922,x1921)+E(f39(f4(f29(x1921,x1922))),f4(x1921))
% 0.81/0.91 [157]~P1(x1572)+~P7(x1573,x1572)+P3(x1571,x1572)+~P3(x1571,x1573)
% 0.81/0.91 [132]~P1(x1322)+~P4(x1323)+P1(x1321)+~E(x1321,f28(x1322,x1323))
% 0.81/0.91 [133]~P1(x1332)+~P4(x1333)+P1(x1331)+~E(x1331,f29(x1332,x1333))
% 0.81/0.91 [134]~P4(x1343)+~P2(x1342)+P1(x1341)+~E(x1341,f26(x1342,x1343))
% 0.81/0.91 [144]~P1(x1442)+P1(x1441)+~P3(x1443,a33)+~E(x1441,f32(x1442,x1443))
% 0.81/0.91 [151]~P3(x1511,x1512)+~P3(x1513,a33)+P3(x1511,a33)+~E(x1512,f2(x1513))
% 0.81/0.91 [159]~P2(x1592)+P1(x1591)+~P7(x1593,f34(x1592))+~E(x1591,f3(x1592,x1593))
% 0.81/0.91 [160]~P2(x1602)+P2(x1601)+~P7(x1603,f34(x1602))+~E(x1601,f27(x1602,x1603))
% 0.81/0.91 [161]~P2(x1613)+~P7(x1612,f34(x1613))+E(f34(x1611),x1612)+~E(x1611,f27(x1613,x1612))
% 0.81/0.91 [166]~P3(x1661,x1663)+~P3(x1662,a33)+P9(f39(x1661),x1662)+~E(x1663,f2(x1662))
% 0.81/0.91 [148]~P1(x1482)+~P1(x1481)+~P7(x1482,x1481)+~P7(x1481,x1482)+E(x1481,x1482)
% 0.81/0.91 [179]~P9(x1792,x1791)+~P9(x1791,x1792)+E(x1791,x1792)+~P3(x1792,a33)+~P3(x1791,a33)
% 0.81/0.91 [138]~P5(x1381)+P3(x1382,x1381)+~E(x1382,f41(x1381))+~P7(x1381,a33)+E(x1381,a31)
% 0.81/0.91 [156]~P1(x1562)+~P6(x1562)+~P3(x1561,a33)+E(x1561,a1)+P6(f32(x1562,x1561))
% 0.81/0.91 [183]~P3(x1832,x1831)+P3(f22(x1831,x1832),x1831)+~P7(x1831,a33)+E(x1831,a31)+E(x1832,f40(x1831))
% 0.81/0.91 [194]~P1(x1941)+~P5(x1941)+~P3(x1942,a33)+~P9(x1942,f4(x1941))+P7(f23(x1941,x1942),x1941)
% 0.81/0.91 [196]~P1(x1961)+P3(f25(x1962,x1961),x1961)+~P3(x1962,a33)+E(x1961,f2(x1962))+P3(f25(x1962,x1961),a33)
% 0.81/0.91 [197]~P3(x1972,x1971)+~P7(x1971,a33)+~P9(x1972,f22(x1971,x1972))+E(x1971,a31)+E(x1972,f40(x1971))
% 0.81/0.91 [204]~P6(x2042)+~P2(x2041)+~E(f7(x2041,x2042),f8(x2041,x2042))+~P7(x2042,f34(x2041))+P6(f3(x2041,x2042))
% 0.81/0.91 [205]~P6(x2052)+~P2(x2051)+P3(f8(x2051,x2052),f34(x2051))+~P7(x2052,f34(x2051))+P6(f3(x2051,x2052))
% 0.81/0.91 [206]~P6(x2062)+~P2(x2061)+P3(f7(x2061,x2062),f34(x2061))+~P7(x2062,f34(x2061))+P6(f3(x2061,x2062))
% 0.81/0.91 [171]P3(x1712,x1711)+~P1(x1711)+~P4(x1712)+~P5(x1711)+E(f4(f28(x1711,x1712)),f39(f4(x1711)))
% 0.81/0.91 [190]~P1(x1901)+~P5(x1901)+~P3(x1902,a33)+~P9(x1902,f4(x1901))+E(f4(f23(x1901,x1902)),x1902)
% 0.81/0.91 [199]E(x1991,x1992)+P3(x1991,f2(x1992))+~P3(x1992,a33)+~P3(x1991,a33)+~P3(x1991,f2(f39(x1992)))
% 0.81/0.91 [209]~P1(x2091)+P3(f25(x2092,x2091),x2091)+~P3(x2092,a33)+E(x2091,f2(x2092))+P9(f39(f25(x2092,x2091)),x2092)
% 0.81/0.91 [210]~P6(x2102)+~P2(x2101)+~P7(x2102,f34(x2101))+P6(f3(x2101,x2102))+E(f30(x2101,f7(x2101,x2102)),f30(x2101,f8(x2101,x2102)))
% 0.81/0.91 [158]~P3(x1583,x1581)+P9(x1582,x1583)+~E(x1582,f40(x1581))+~P7(x1581,a33)+E(x1581,a31)
% 0.81/0.91 [185]P3(x1851,x1852)+~P3(x1853,a33)+~P3(x1851,a33)+~P9(f39(x1851),x1853)+~E(x1852,f2(x1853))
% 0.81/0.91 [213]~P1(x2131)+~P5(x2133)+~P3(x2132,a33)+~P7(x2133,f32(x2131,x2132))+P5(f10(x2131,x2132,x2133))
% 0.81/0.91 [214]~P1(x2141)+~P5(x2143)+~P3(x2142,a33)+~P7(x2143,f32(x2141,x2142))+P7(f10(x2141,x2142,x2143),x2141)
% 0.81/0.91 [229]~P1(x2292)+~P5(x2291)+~P3(x2293,a33)+~P7(x2291,f32(x2292,x2293))+P7(x2291,f32(f10(x2292,x2293,x2291),x2293))
% 0.81/0.91 [152]~P1(x1524)+~P4(x1522)+~P3(x1521,x1523)+~E(x1521,x1522)+~E(x1523,f29(x1524,x1522))
% 0.81/0.91 [154]~P1(x1543)+~P4(x1544)+~P3(x1541,x1542)+P4(x1541)+~E(x1542,f28(x1543,x1544))
% 0.81/0.91 [155]~P1(x1553)+~P4(x1554)+~P3(x1551,x1552)+P4(x1551)+~E(x1552,f29(x1553,x1554))
% 0.81/0.91 [168]~P1(x1682)+~P4(x1684)+~P3(x1681,x1683)+P3(x1681,x1682)+~E(x1683,f29(x1682,x1684))
% 0.81/0.91 [170]~P4(x1703)+~P2(x1701)+~P3(x1702,x1704)+E(f30(x1701,x1702),x1703)+~E(x1704,f26(x1701,x1703))
% 0.81/0.91 [174]~P1(x1744)+~P3(x1741,x1743)+~P3(x1742,a33)+E(f4(x1741),x1742)+~E(x1743,f32(x1744,x1742))
% 0.81/0.91 [176]~P4(x1764)+~P2(x1762)+~P3(x1761,x1763)+P3(x1761,f34(x1762))+~E(x1763,f26(x1762,x1764))
% 0.81/0.91 [180]~P1(x1802)+~P3(x1801,x1803)+P7(x1801,x1802)+~P3(x1804,a33)+~E(x1803,f32(x1802,x1804))
% 0.81/0.91 [198]~P2(x1983)+~P3(x1982,x1984)+~P7(x1984,f34(x1983))+E(f30(x1981,x1982),f30(x1983,x1982))+~E(x1981,f27(x1983,x1984))
% 0.81/0.91 [235]~P2(x2351)+~P3(x2354,x2353)+~E(x2353,f3(x2351,x2352))+~P7(x2352,f34(x2351))+P3(f14(x2351,x2352,x2353,x2354),x2352)
% 0.81/0.91 [236]~P2(x2361)+~P3(x2364,x2363)+~E(x2363,f3(x2361,x2362))+~P7(x2362,f34(x2361))+E(f30(x2361,f14(x2361,x2362,x2363,x2364)),x2364)
% 0.81/0.91 [189]~P5(x1891)+~P3(x1892,x1891)+P3(f24(x1891,x1892),x1891)+~P7(x1891,a33)+E(x1891,a31)+E(x1892,f41(x1891))
% 0.81/0.91 [202]~P5(x2021)+~P3(x2022,x2021)+~P7(x2021,a33)+~P9(f24(x2021,x2022),x2022)+E(x2021,a31)+E(x2022,f41(x2021))
% 0.81/0.91 [218]~P1(x2181)+~P3(x2182,a33)+~P3(f25(x2182,x2181),x2181)+E(x2181,f2(x2182))+~P3(f25(x2182,x2181),a33)+~P9(f39(f25(x2182,x2181)),x2182)
% 0.81/0.91 [175]~P1(x1752)+~P1(x1751)+~P7(x1753,x1752)+~P7(x1751,x1753)+P7(x1751,x1752)+~P1(x1753)
% 0.81/0.91 [203]~P9(x2031,x2033)+P9(x2031,x2032)+~P9(x2033,x2032)+~P3(x2032,a33)+~P3(x2033,a33)+~P3(x2031,a33)
% 0.81/0.91 [167]~P5(x1671)+~P3(x1672,x1671)+P9(x1672,x1673)+~E(x1673,f41(x1671))+~P7(x1671,a33)+E(x1671,a31)
% 0.81/0.91 [212]~P2(x2121)+~P2(x2122)+P3(f9(x2122,x2123,x2121),x2123)+~E(f34(x2121),x2123)+~P7(x2123,f34(x2122))+E(x2121,f27(x2122,x2123))
% 0.81/0.91 [215]~P1(x2151)+~P1(x2152)+~P4(x2153)+P3(f20(x2152,x2153,x2151),x2151)+~E(f20(x2152,x2153,x2151),x2153)+E(x2151,f29(x2152,x2153))
% 0.81/0.91 [216]~P1(x2161)+~P1(x2162)+~P4(x2163)+P3(f21(x2162,x2163,x2161),x2161)+E(x2161,f28(x2162,x2163))+P4(f21(x2162,x2163,x2161))
% 0.81/0.91 [217]~P1(x2171)+~P1(x2172)+~P4(x2173)+P3(f20(x2172,x2173,x2171),x2171)+E(x2171,f29(x2172,x2173))+P4(f20(x2172,x2173,x2171))
% 0.81/0.91 [219]~P1(x2191)+~P1(x2192)+~P4(x2193)+P3(f20(x2192,x2193,x2191),x2191)+P3(f20(x2192,x2193,x2191),x2192)+E(x2191,f29(x2192,x2193))
% 0.81/0.91 [222]~P1(x2221)+~P4(x2223)+~P2(x2222)+P3(f12(x2222,x2223,x2221),x2221)+P3(f12(x2222,x2223,x2221),f34(x2222))+E(x2221,f26(x2222,x2223))
% 0.81/0.91 [223]~P1(x2231)+~P1(x2232)+P3(f11(x2232,x2233,x2231),x2231)+P7(f11(x2232,x2233,x2231),x2232)+~P3(x2233,a33)+E(x2231,f32(x2232,x2233))
% 0.81/0.91 [226]~P1(x2261)+~P2(x2262)+P3(f13(x2262,x2263,x2261),x2261)+P3(f15(x2262,x2263,x2261),x2263)+~P7(x2263,f34(x2262))+E(x2261,f3(x2262,x2263))
% 0.81/0.91 [220]~P1(x2201)+~P4(x2203)+~P2(x2202)+P3(f12(x2202,x2203,x2201),x2201)+E(x2201,f26(x2202,x2203))+E(f30(x2202,f12(x2202,x2203,x2201)),x2203)
% 0.81/0.91 [221]~P1(x2211)+~P1(x2212)+P3(f11(x2212,x2213,x2211),x2211)+~P3(x2213,a33)+E(x2211,f32(x2212,x2213))+E(f4(f11(x2212,x2213,x2211)),x2213)
% 0.81/0.91 [230]~P1(x2301)+~P2(x2302)+P3(f13(x2302,x2303,x2301),x2301)+~P7(x2303,f34(x2302))+E(x2301,f3(x2302,x2303))+E(f30(x2302,f15(x2302,x2303,x2301)),f13(x2302,x2303,x2301))
% 0.81/0.91 [232]~P2(x2322)+~P2(x2321)+~E(f34(x2321),x2323)+~P7(x2323,f34(x2322))+E(x2321,f27(x2322,x2323))+~E(f30(x2321,f9(x2322,x2323,x2321)),f30(x2322,f9(x2322,x2323,x2321)))
% 0.81/0.91 [149]~P1(x1494)+~P4(x1493)+~P4(x1491)+P3(x1491,x1492)+~E(x1491,x1493)+~E(x1492,f28(x1494,x1493))
% 0.81/0.91 [173]~P1(x1733)+~P4(x1732)+~P3(x1731,x1734)+E(x1731,x1732)+P3(x1731,x1733)+~E(x1734,f28(x1733,x1732))
% 0.81/0.91 [177]~P1(x1773)+~P4(x1774)+~P4(x1771)+~P3(x1771,x1773)+P3(x1771,x1772)+~E(x1772,f28(x1773,x1774))
% 0.81/0.91 [188]~P1(x1884)+~P7(x1881,x1884)+P3(x1881,x1882)+~P3(x1883,a33)+~E(x1882,f32(x1884,x1883))+~E(f4(x1881),x1883)
% 0.81/0.91 [195]~P4(x1954)+~P2(x1953)+P3(x1951,x1952)+~E(f30(x1953,x1951),x1954)+~P3(x1951,f34(x1953))+~E(x1952,f26(x1953,x1954))
% 0.81/0.91 [207]~P2(x2073)+~P3(x2075,x2074)+P3(x2071,x2072)+~P7(x2074,f34(x2073))+~E(x2072,f3(x2073,x2074))+~E(f30(x2073,x2075),x2071)
% 0.81/0.91 [200]E(f40(x2002),f40(x2001))+~P7(x2001,a33)+~P7(x2002,a33)+~P3(f40(x2001),x2002)+~P3(f40(x2002),x2001)+E(x2001,a31)+E(x2002,a31)
% 0.81/0.91 [211]~P1(x2113)+~P1(x2112)+P7(x2112,x2113)+~P3(x2111,a33)+~P7(f32(x2112,x2111),f32(x2113,x2111))+E(x2111,a1)+E(f32(x2112,x2111),a31)
% 0.81/0.91 [228]~P1(x2281)+~P1(x2282)+~P4(x2283)+E(f21(x2282,x2283,x2281),x2283)+P3(f21(x2282,x2283,x2281),x2281)+P3(f21(x2282,x2283,x2281),x2282)+E(x2281,f28(x2282,x2283))
% 0.81/0.91 [233]~P1(x2331)+~P1(x2332)+~P4(x2333)+~E(f21(x2332,x2333,x2331),x2333)+~P3(f21(x2332,x2333,x2331),x2331)+E(x2331,f28(x2332,x2333))+~P4(f21(x2332,x2333,x2331))
% 0.81/0.91 [234]~P1(x2341)+~P1(x2342)+~P4(x2343)+~P3(f21(x2342,x2343,x2341),x2341)+~P3(f21(x2342,x2343,x2341),x2342)+E(x2341,f28(x2342,x2343))+~P4(f21(x2342,x2343,x2341))
% 0.81/0.91 [237]~P1(x2371)+~P1(x2372)+~P3(x2373,a33)+~P3(f11(x2372,x2373,x2371),x2371)+~P7(f11(x2372,x2373,x2371),x2372)+E(x2371,f32(x2372,x2373))+~E(f4(f11(x2372,x2373,x2371)),x2373)
% 0.81/0.91 [238]~P1(x2381)+~P4(x2383)+~P2(x2382)+~P3(f12(x2382,x2383,x2381),x2381)+~P3(f12(x2382,x2383,x2381),f34(x2382))+E(x2381,f26(x2382,x2383))+~E(f30(x2382,f12(x2382,x2383,x2381)),x2383)
% 0.81/0.91 [178]~P1(x1784)+~P4(x1782)+~P4(x1781)+~P3(x1781,x1784)+E(x1781,x1782)+P3(x1781,x1783)+~E(x1783,f29(x1784,x1782))
% 0.81/0.91 [231]~P1(x2311)+~P2(x2312)+~P3(x2314,x2313)+~P7(x2313,f34(x2312))+~P3(f13(x2312,x2313,x2311),x2311)+~E(f30(x2312,x2314),f13(x2312,x2313,x2311))+E(x2311,f3(x2312,x2313))
% 0.81/0.91 [239]~P1(x2391)+~P1(x2392)+~P4(x2393)+E(f20(x2392,x2393,x2391),x2393)+~P3(f20(x2392,x2393,x2391),x2391)+~P3(f20(x2392,x2393,x2391),x2392)+E(x2391,f29(x2392,x2393))+~P4(f20(x2392,x2393,x2391))
% 0.81/0.91 [224]~P6(x2242)+~P2(x2243)+~E(f34(x2243),f32(x2242,x2241))+~P3(x2241,a33)+~P7(x2242,a33)+~P8(x2241,a38)+P6(f18(x2241,x2242,x2243))+~P7(f3(x2243,f34(x2243)),a36)
% 0.81/0.91 [225]~P6(x2252)+~P2(x2253)+~E(f34(x2253),f32(x2252,x2251))+~P3(x2251,a33)+~P7(x2252,a33)+~P8(x2251,a38)+P3(f19(x2251,x2252,x2253),a36)+~P7(f3(x2253,f34(x2253)),a36)
% 0.81/0.91 [227]~P6(x2272)+~P2(x2273)+~E(f34(x2273),f32(x2272,x2271))+~P3(x2271,a33)+~P7(x2272,a33)+~P8(x2271,a38)+P7(f18(x2271,x2272,x2273),x2272)+~P7(f3(x2273,f34(x2273)),a36)
% 0.81/0.91 [240]~P6(x2404)+~P2(x2401)+~E(f34(x2401),f32(x2404,x2403))+~P3(x2403,a33)+~P7(x2404,a33)+~P8(x2403,a38)+E(f30(x2401,x2402),f19(x2403,x2404,x2401))+~P3(x2402,f32(f18(x2403,x2404,x2401),x2403))+~P7(f3(x2401,f34(x2401)),a36)
% 0.81/0.91 %EqnAxiom
% 0.81/0.91 [1]E(x11,x11)
% 0.81/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.91 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.81/0.91 [5]~E(x51,x52)+E(f32(x51,x53),f32(x52,x53))
% 0.81/0.91 [6]~E(x61,x62)+E(f32(x63,x61),f32(x63,x62))
% 0.81/0.91 [7]~E(x71,x72)+E(f34(x71),f34(x72))
% 0.81/0.91 [8]~E(x81,x82)+E(f9(x81,x83,x84),f9(x82,x83,x84))
% 0.81/0.91 [9]~E(x91,x92)+E(f9(x93,x91,x94),f9(x93,x92,x94))
% 0.81/0.91 [10]~E(x101,x102)+E(f9(x103,x104,x101),f9(x103,x104,x102))
% 0.81/0.91 [11]~E(x111,x112)+E(f3(x111,x113),f3(x112,x113))
% 0.81/0.91 [12]~E(x121,x122)+E(f3(x123,x121),f3(x123,x122))
% 0.81/0.91 [13]~E(x131,x132)+E(f4(x131),f4(x132))
% 0.81/0.91 [14]~E(x141,x142)+E(f25(x141,x143),f25(x142,x143))
% 0.81/0.91 [15]~E(x151,x152)+E(f25(x153,x151),f25(x153,x152))
% 0.81/0.91 [16]~E(x161,x162)+E(f30(x161,x163),f30(x162,x163))
% 0.81/0.91 [17]~E(x171,x172)+E(f30(x173,x171),f30(x173,x172))
% 0.81/0.91 [18]~E(x181,x182)+E(f26(x181,x183),f26(x182,x183))
% 0.81/0.91 [19]~E(x191,x192)+E(f26(x193,x191),f26(x193,x192))
% 0.81/0.91 [20]~E(x201,x202)+E(f39(x201),f39(x202))
% 0.81/0.91 [21]~E(x211,x212)+E(f28(x211,x213),f28(x212,x213))
% 0.81/0.91 [22]~E(x221,x222)+E(f28(x223,x221),f28(x223,x222))
% 0.81/0.91 [23]~E(x231,x232)+E(f8(x231,x233),f8(x232,x233))
% 0.81/0.91 [24]~E(x241,x242)+E(f8(x243,x241),f8(x243,x242))
% 0.81/0.91 [25]~E(x251,x252)+E(f5(x251),f5(x252))
% 0.81/0.91 [26]~E(x261,x262)+E(f11(x261,x263,x264),f11(x262,x263,x264))
% 0.81/0.91 [27]~E(x271,x272)+E(f11(x273,x271,x274),f11(x273,x272,x274))
% 0.81/0.91 [28]~E(x281,x282)+E(f11(x283,x284,x281),f11(x283,x284,x282))
% 0.81/0.91 [29]~E(x291,x292)+E(f18(x291,x293,x294),f18(x292,x293,x294))
% 0.81/0.91 [30]~E(x301,x302)+E(f18(x303,x301,x304),f18(x303,x302,x304))
% 0.81/0.91 [31]~E(x311,x312)+E(f18(x313,x314,x311),f18(x313,x314,x312))
% 0.81/0.91 [32]~E(x321,x322)+E(f20(x321,x323,x324),f20(x322,x323,x324))
% 0.81/0.91 [33]~E(x331,x332)+E(f20(x333,x331,x334),f20(x333,x332,x334))
% 0.81/0.91 [34]~E(x341,x342)+E(f20(x343,x344,x341),f20(x343,x344,x342))
% 0.81/0.91 [35]~E(x351,x352)+E(f16(x351),f16(x352))
% 0.81/0.91 [36]~E(x361,x362)+E(f7(x361,x363),f7(x362,x363))
% 0.81/0.91 [37]~E(x371,x372)+E(f7(x373,x371),f7(x373,x372))
% 0.81/0.91 [38]~E(x381,x382)+E(f10(x381,x383,x384),f10(x382,x383,x384))
% 0.81/0.91 [39]~E(x391,x392)+E(f10(x393,x391,x394),f10(x393,x392,x394))
% 0.81/0.91 [40]~E(x401,x402)+E(f10(x403,x404,x401),f10(x403,x404,x402))
% 0.81/0.91 [41]~E(x411,x412)+E(f41(x411),f41(x412))
% 0.81/0.91 [42]~E(x421,x422)+E(f12(x421,x423,x424),f12(x422,x423,x424))
% 0.81/0.91 [43]~E(x431,x432)+E(f12(x433,x431,x434),f12(x433,x432,x434))
% 0.81/0.91 [44]~E(x441,x442)+E(f12(x443,x444,x441),f12(x443,x444,x442))
% 0.81/0.91 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453))
% 0.81/0.91 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462))
% 0.81/0.91 [47]~E(x471,x472)+E(f27(x471,x473),f27(x472,x473))
% 0.81/0.91 [48]~E(x481,x482)+E(f27(x483,x481),f27(x483,x482))
% 0.81/0.91 [49]~E(x491,x492)+E(f17(x491,x493),f17(x492,x493))
% 0.81/0.91 [50]~E(x501,x502)+E(f17(x503,x501),f17(x503,x502))
% 0.81/0.91 [51]~E(x511,x512)+E(f29(x511,x513),f29(x512,x513))
% 0.81/0.91 [52]~E(x521,x522)+E(f29(x523,x521),f29(x523,x522))
% 0.81/0.91 [53]~E(x531,x532)+E(f21(x531,x533,x534),f21(x532,x533,x534))
% 0.81/0.91 [54]~E(x541,x542)+E(f21(x543,x541,x544),f21(x543,x542,x544))
% 0.81/0.91 [55]~E(x551,x552)+E(f21(x553,x554,x551),f21(x553,x554,x552))
% 0.81/0.91 [56]~E(x561,x562)+E(f40(x561),f40(x562))
% 0.81/0.91 [57]~E(x571,x572)+E(f13(x571,x573,x574),f13(x572,x573,x574))
% 0.81/0.91 [58]~E(x581,x582)+E(f13(x583,x581,x584),f13(x583,x582,x584))
% 0.81/0.91 [59]~E(x591,x592)+E(f13(x593,x594,x591),f13(x593,x594,x592))
% 0.81/0.91 [60]~E(x601,x602)+E(f15(x601,x603,x604),f15(x602,x603,x604))
% 0.81/0.91 [61]~E(x611,x612)+E(f15(x613,x611,x614),f15(x613,x612,x614))
% 0.81/0.91 [62]~E(x621,x622)+E(f15(x623,x624,x621),f15(x623,x624,x622))
% 0.81/0.91 [63]~E(x631,x632)+E(f6(x631),f6(x632))
% 0.81/0.91 [64]~E(x641,x642)+E(f19(x641,x643,x644),f19(x642,x643,x644))
% 0.81/0.91 [65]~E(x651,x652)+E(f19(x653,x651,x654),f19(x653,x652,x654))
% 0.81/0.91 [66]~E(x661,x662)+E(f19(x663,x664,x661),f19(x663,x664,x662))
% 0.81/0.91 [67]~E(x671,x672)+E(f35(x671),f35(x672))
% 0.81/0.91 [68]~E(x681,x682)+E(f22(x681,x683),f22(x682,x683))
% 0.81/0.91 [69]~E(x691,x692)+E(f22(x693,x691),f22(x693,x692))
% 0.81/0.91 [70]~E(x701,x702)+E(f23(x701,x703),f23(x702,x703))
% 0.81/0.91 [71]~E(x711,x712)+E(f23(x713,x711),f23(x713,x712))
% 0.81/0.91 [72]~E(x721,x722)+E(f14(x721,x723,x724,x725),f14(x722,x723,x724,x725))
% 0.81/0.91 [73]~E(x731,x732)+E(f14(x733,x731,x734,x735),f14(x733,x732,x734,x735))
% 0.81/0.91 [74]~E(x741,x742)+E(f14(x743,x744,x741,x745),f14(x743,x744,x742,x745))
% 0.81/0.91 [75]~E(x751,x752)+E(f14(x753,x754,x755,x751),f14(x753,x754,x755,x752))
% 0.81/0.91 [76]~P1(x761)+P1(x762)+~E(x761,x762)
% 0.81/0.91 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 0.81/0.91 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 0.81/0.91 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 0.81/0.91 [80]P7(x802,x803)+~E(x801,x802)+~P7(x801,x803)
% 0.81/0.91 [81]P7(x813,x812)+~E(x811,x812)+~P7(x813,x811)
% 0.81/0.91 [82]~P6(x821)+P6(x822)+~E(x821,x822)
% 0.81/0.91 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 0.81/0.91 [84]~P2(x841)+P2(x842)+~E(x841,x842)
% 0.81/0.91 [85]P9(x852,x853)+~E(x851,x852)+~P9(x851,x853)
% 0.81/0.91 [86]P9(x863,x862)+~E(x861,x862)+~P9(x863,x861)
% 0.81/0.91 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.81/0.91 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.81/0.91
% 0.81/0.91 %-------------------------------------------
% 0.81/0.91 cnf(244,plain,
% 0.81/0.91 (~P3(x2441,f2(a1))),
% 0.81/0.91 inference(scs_inference,[],[89,97,2,125,112])).
% 0.81/0.91 cnf(246,plain,
% 0.81/0.91 (P1(f2(a1))),
% 0.81/0.91 inference(scs_inference,[],[89,97,2,125,112,104])).
% 0.81/0.91 cnf(249,plain,
% 0.81/0.91 (~E(a33,f2(a1))),
% 0.81/0.91 inference(scs_inference,[],[89,92,97,2,125,112,104,79,78])).
% 0.81/0.91 cnf(270,plain,
% 0.81/0.91 (P3(f39(a1),a33)),
% 0.81/0.91 inference(scs_inference,[],[89,90,92,94,97,98,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126])).
% 0.81/0.91 cnf(282,plain,
% 0.81/0.91 (P4(f4(a33))),
% 0.81/0.91 inference(scs_inference,[],[89,90,92,94,97,98,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109])).
% 0.81/0.91 cnf(368,plain,
% 0.81/0.91 (P3(f16(a38),a33)),
% 0.81/0.91 inference(scs_inference,[],[89,90,92,94,95,96,97,98,99,103,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129])).
% 0.81/0.91 cnf(372,plain,
% 0.81/0.91 (E(f39(f16(a38)),a38)),
% 0.81/0.91 inference(scs_inference,[],[89,90,92,94,95,96,97,98,99,103,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120])).
% 0.81/0.91 cnf(416,plain,
% 0.81/0.91 (~P9(a38,a1)),
% 0.81/0.91 inference(scs_inference,[],[89,90,91,92,93,94,95,96,97,98,99,103,101,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120,116,106,147,165,157,131,151,133,132,166,153,143,142,141,140,139,187,186,135,150,164,179])).
% 0.81/0.91 cnf(418,plain,
% 0.81/0.91 (~E(a33,f29(f2(a1),f4(a33)))),
% 0.81/0.91 inference(scs_inference,[],[89,90,91,92,93,94,95,96,97,98,99,103,101,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120,116,106,147,165,157,131,151,133,132,166,153,143,142,141,140,139,187,186,135,150,164,179,168])).
% 0.81/0.91 cnf(420,plain,
% 0.81/0.91 (~E(f2(a1),f2(f39(a1)))),
% 0.81/0.91 inference(scs_inference,[],[89,90,91,92,93,94,95,96,97,98,99,103,101,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120,116,106,147,165,157,131,151,133,132,166,153,143,142,141,140,139,187,186,135,150,164,179,168,185])).
% 0.81/0.91 cnf(430,plain,
% 0.81/0.91 (P3(f25(a1,a33),a33)),
% 0.81/0.91 inference(scs_inference,[],[89,90,91,92,93,94,95,96,97,98,99,103,101,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120,116,106,147,165,157,131,151,133,132,166,153,143,142,141,140,139,187,186,135,150,164,179,168,185,174,158,156,171,196])).
% 0.81/0.91 cnf(432,plain,
% 0.81/0.91 (~E(f2(a1),f28(a33,f4(a33)))),
% 0.81/0.91 inference(scs_inference,[],[89,90,91,92,93,94,95,96,97,98,99,103,101,2,125,112,104,79,78,76,3,110,107,182,181,119,111,137,128,127,126,118,117,115,114,113,109,108,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,84,82,124,123,130,129,122,120,116,106,147,165,157,131,151,133,132,166,153,143,142,141,140,139,187,186,135,150,164,179,168,185,174,158,156,171,196,177])).
% 0.81/0.91 cnf(459,plain,
% 0.81/0.91 (~P3(x4591,f2(a1))),
% 0.81/0.91 inference(rename_variables,[],[244])).
% 0.81/0.91 cnf(462,plain,
% 0.81/0.91 (~P3(x4621,f2(a1))),
% 0.81/0.91 inference(rename_variables,[],[244])).
% 0.81/0.91 cnf(465,plain,
% 0.81/0.91 (~P3(x4651,f2(a1))),
% 0.81/0.91 inference(rename_variables,[],[244])).
% 0.81/0.91 cnf(483,plain,
% 0.81/0.91 ($false),
% 0.81/0.91 inference(scs_inference,[],[93,91,103,98,90,97,244,459,462,465,432,249,420,246,282,418,372,270,368,430,416,145,209,219,216,218,124,110,165,169,139,196,2,114]),
% 0.81/0.91 ['proof']).
% 0.81/0.91 % SZS output end Proof
% 0.81/0.91 % Total time :0.200000s
%------------------------------------------------------------------------------