TSTP Solution File: NUM602+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM602+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 : n002.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 10:23:36 EDT 2023
% Result : Theorem 0.76s 0.87s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 16:26:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 % File :CSE---1.6
% 0.76/0.85 % Problem :theBenchmark
% 0.76/0.85 % Transform :cnf
% 0.76/0.85 % Format :tptp:raw
% 0.76/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.85
% 0.76/0.85 % Result :Theorem 0.210000s
% 0.76/0.85 % Output :CNFRefutation 0.210000s
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 %------------------------------------------------------------------------------
% 0.76/0.85 % File : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% 0.76/0.85 % Domain : Number Theory
% 0.76/0.85 % Problem : Ramsey's Infinite Theorem 15_02_19_01, 00 expansion
% 0.76/0.85 % Version : Especial.
% 0.76/0.85 % English :
% 0.76/0.85
% 0.76/0.85 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.76/0.85 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.76/0.85 % Source : [Pas08]
% 0.76/0.85 % Names : ramsey_15_02_19_01.00 [Pas08]
% 0.76/0.85
% 0.76/0.85 % Status : Theorem
% 0.76/0.85 % Rating : 0.17 v8.1.0, 0.11 v7.5.0, 0.09 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.30 v5.1.0, 0.43 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.83 v4.0.0
% 0.76/0.85 % Syntax : Number of formulae : 99 ( 8 unt; 11 def)
% 0.76/0.85 % Number of atoms : 388 ( 69 equ)
% 0.76/0.85 % Maximal formula atoms : 12 ( 3 avg)
% 0.76/0.85 % Number of connectives : 313 ( 24 ~; 4 |; 128 &)
% 0.76/0.85 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 0.76/0.85 % Maximal formula depth : 15 ( 5 avg)
% 0.76/0.85 % Maximal term depth : 5 ( 1 avg)
% 0.76/0.85 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.76/0.85 % Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% 0.76/0.85 % Number of variables : 172 ( 159 !; 13 ?)
% 0.76/0.85 % SPC : FOF_THM_RFO_SEQ
% 0.76/0.85
% 0.76/0.85 % Comments : Problem generated by the SAD system [VLP07]
% 0.76/0.85 %------------------------------------------------------------------------------
% 0.76/0.85 fof(mSetSort,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => $true ) ).
% 0.76/0.85
% 0.76/0.85 fof(mElmSort,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aElement0(W0)
% 0.76/0.85 => $true ) ).
% 0.76/0.85
% 0.76/0.85 fof(mEOfElem,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => ! [W1] :
% 0.76/0.85 ( aElementOf0(W1,W0)
% 0.76/0.85 => aElement0(W1) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mFinRel,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => ( isFinite0(W0)
% 0.76/0.85 => $true ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mDefEmp,definition,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( W0 = slcrc0
% 0.76/0.85 <=> ( aSet0(W0)
% 0.76/0.85 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mEmpFin,axiom,
% 0.76/0.85 isFinite0(slcrc0) ).
% 0.76/0.85
% 0.76/0.85 fof(mCntRel,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => ( isCountable0(W0)
% 0.76/0.85 => $true ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mCountNFin,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( ( aSet0(W0)
% 0.76/0.85 & isCountable0(W0) )
% 0.76/0.85 => ~ isFinite0(W0) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mCountNFin_01,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( ( aSet0(W0)
% 0.76/0.85 & isCountable0(W0) )
% 0.76/0.85 => W0 != slcrc0 ) ).
% 0.76/0.85
% 0.76/0.85 fof(mDefSub,definition,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => ! [W1] :
% 0.76/0.85 ( aSubsetOf0(W1,W0)
% 0.76/0.85 <=> ( aSet0(W1)
% 0.76/0.85 & ! [W2] :
% 0.76/0.85 ( aElementOf0(W2,W1)
% 0.76/0.85 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mSubFSet,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( ( aSet0(W0)
% 0.76/0.85 & isFinite0(W0) )
% 0.76/0.85 => ! [W1] :
% 0.76/0.85 ( aSubsetOf0(W1,W0)
% 0.76/0.85 => isFinite0(W1) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mSubRefl,axiom,
% 0.76/0.85 ! [W0] :
% 0.76/0.85 ( aSet0(W0)
% 0.76/0.85 => aSubsetOf0(W0,W0) ) ).
% 0.76/0.85
% 0.76/0.85 fof(mSubASymm,axiom,
% 0.76/0.85 ! [W0,W1] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & aSet0(W1) )
% 0.76/0.86 => ( ( aSubsetOf0(W0,W1)
% 0.76/0.86 & aSubsetOf0(W1,W0) )
% 0.76/0.86 => W0 = W1 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mSubTrans,axiom,
% 0.76/0.86 ! [W0,W1,W2] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & aSet0(W1)
% 0.76/0.86 & aSet0(W2) )
% 0.76/0.86 => ( ( aSubsetOf0(W0,W1)
% 0.76/0.86 & aSubsetOf0(W1,W2) )
% 0.76/0.86 => aSubsetOf0(W0,W2) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDefCons,definition,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & aElement0(W1) )
% 0.76/0.86 => ! [W2] :
% 0.76/0.86 ( W2 = sdtpldt0(W0,W1)
% 0.76/0.86 <=> ( aSet0(W2)
% 0.76/0.86 & ! [W3] :
% 0.76/0.86 ( aElementOf0(W3,W2)
% 0.76/0.86 <=> ( aElement0(W3)
% 0.76/0.86 & ( aElementOf0(W3,W0)
% 0.76/0.86 | W3 = W1 ) ) ) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDefDiff,definition,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & aElement0(W1) )
% 0.76/0.86 => ! [W2] :
% 0.76/0.86 ( W2 = sdtmndt0(W0,W1)
% 0.76/0.86 <=> ( aSet0(W2)
% 0.76/0.86 & ! [W3] :
% 0.76/0.86 ( aElementOf0(W3,W2)
% 0.76/0.86 <=> ( aElement0(W3)
% 0.76/0.86 & aElementOf0(W3,W0)
% 0.76/0.86 & W3 != W1 ) ) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mConsDiff,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( aElementOf0(W1,W0)
% 0.76/0.86 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDiffCons,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElement0(W0)
% 0.76/0.86 & aSet0(W1) )
% 0.76/0.86 => ( ~ aElementOf0(W0,W1)
% 0.76/0.86 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCConsSet,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElement0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( aSet0(W1)
% 0.76/0.86 & isCountable0(W1) )
% 0.76/0.86 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCDiffSet,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElement0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( aSet0(W1)
% 0.76/0.86 & isCountable0(W1) )
% 0.76/0.86 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mFConsSet,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElement0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( aSet0(W1)
% 0.76/0.86 & isFinite0(W1) )
% 0.76/0.86 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mFDiffSet,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElement0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( aSet0(W1)
% 0.76/0.86 & isFinite0(W1) )
% 0.76/0.86 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mNATSet,axiom,
% 0.76/0.86 ( aSet0(szNzAzT0)
% 0.76/0.86 & isCountable0(szNzAzT0) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mZeroNum,axiom,
% 0.76/0.86 aElementOf0(sz00,szNzAzT0) ).
% 0.76/0.86
% 0.76/0.86 fof(mSuccNum,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.76/0.86 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mSuccEquSucc,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.76/0.86 => W0 = W1 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mNatExtra,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => ( W0 = sz00
% 0.76/0.86 | ? [W1] :
% 0.76/0.86 ( aElementOf0(W1,szNzAzT0)
% 0.76/0.86 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mNatNSucc,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => W0 != szszuzczcdt0(W0) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessRel,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( sdtlseqdt0(W0,W1)
% 0.76/0.86 => $true ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mZeroLess,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => sdtlseqdt0(sz00,W0) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mNoScLessZr,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mSuccLess,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( sdtlseqdt0(W0,W1)
% 0.76/0.86 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessSucc,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessRefl,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => sdtlseqdt0(W0,W0) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessASymm,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( ( sdtlseqdt0(W0,W1)
% 0.76/0.86 & sdtlseqdt0(W1,W0) )
% 0.76/0.86 => W0 = W1 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessTrans,axiom,
% 0.76/0.86 ! [W0,W1,W2] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0)
% 0.76/0.86 & aElementOf0(W2,szNzAzT0) )
% 0.76/0.86 => ( ( sdtlseqdt0(W0,W1)
% 0.76/0.86 & sdtlseqdt0(W1,W2) )
% 0.76/0.86 => sdtlseqdt0(W0,W2) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mLessTotal,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( sdtlseqdt0(W0,W1)
% 0.76/0.86 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mIHSort,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( iLess0(W0,W1)
% 0.76/0.86 => $true ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mIH,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.86 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardS,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => aElement0(sbrdtbr0(W0)) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardNum,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.76/0.86 <=> isFinite0(W0) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardEmpty,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => ( sbrdtbr0(W0) = sz00
% 0.76/0.86 <=> W0 = slcrc0 ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardCons,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & isFinite0(W0) )
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( aElement0(W1)
% 0.76/0.86 => ( ~ aElementOf0(W1,W0)
% 0.76/0.86 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardDiff,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( isFinite0(W0)
% 0.76/0.86 & aElementOf0(W1,W0) )
% 0.76/0.86 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardSub,axiom,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aSet0(W0)
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( ( isFinite0(W0)
% 0.76/0.86 & aSubsetOf0(W1,W0) )
% 0.76/0.86 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mCardSubEx,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aSet0(W0)
% 0.76/0.86 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.86 => ( ( isFinite0(W0)
% 0.76/0.86 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.76/0.86 => ? [W2] :
% 0.76/0.86 ( aSubsetOf0(W2,W0)
% 0.76/0.86 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDefMin,definition,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.76/0.86 & W0 != slcrc0 )
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( W1 = szmzizndt0(W0)
% 0.76/0.86 <=> ( aElementOf0(W1,W0)
% 0.76/0.86 & ! [W2] :
% 0.76/0.86 ( aElementOf0(W2,W0)
% 0.76/0.86 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDefMax,definition,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.76/0.86 & isFinite0(W0)
% 0.76/0.86 & W0 != slcrc0 )
% 0.76/0.86 => ! [W1] :
% 0.76/0.86 ( W1 = szmzazxdt0(W0)
% 0.76/0.86 <=> ( aElementOf0(W1,W0)
% 0.76/0.86 & ! [W2] :
% 0.76/0.86 ( aElementOf0(W2,W0)
% 0.76/0.86 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mMinMin,axiom,
% 0.76/0.86 ! [W0,W1] :
% 0.76/0.86 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.76/0.86 & aSubsetOf0(W1,szNzAzT0)
% 0.76/0.86 & W0 != slcrc0
% 0.76/0.86 & W1 != slcrc0 )
% 0.76/0.86 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.76/0.86 & aElementOf0(szmzizndt0(W1),W0) )
% 0.76/0.86 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.76/0.86
% 0.76/0.86 fof(mDefSeg,definition,
% 0.76/0.86 ! [W0] :
% 0.76/0.86 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( W1 = slbdtrb0(W0)
% 0.76/0.87 <=> ( aSet0(W1)
% 0.76/0.87 & ! [W2] :
% 0.76/0.87 ( aElementOf0(W2,W1)
% 0.76/0.87 <=> ( aElementOf0(W2,szNzAzT0)
% 0.76/0.87 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSegFin,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => isFinite0(slbdtrb0(W0)) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSegZero,axiom,
% 0.76/0.87 slbdtrb0(sz00) = slcrc0 ).
% 0.76/0.87
% 0.76/0.87 fof(mSegSucc,axiom,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.87 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.76/0.87 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.76/0.87 | W0 = W1 ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSegLess,axiom,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.87 => ( sdtlseqdt0(W0,W1)
% 0.76/0.87 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mFinSubSeg,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.76/0.87 & isFinite0(W0) )
% 0.76/0.87 => ? [W1] :
% 0.76/0.87 ( aElementOf0(W1,szNzAzT0)
% 0.76/0.87 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mCardSeg,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDefSel,definition,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aSet0(W0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( W2 = slbdtsldtrb0(W0,W1)
% 0.76/0.87 <=> ( aSet0(W2)
% 0.76/0.87 & ! [W3] :
% 0.76/0.87 ( aElementOf0(W3,W2)
% 0.76/0.87 <=> ( aSubsetOf0(W3,W0)
% 0.76/0.87 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSelFSet,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( ( aSet0(W0)
% 0.76/0.87 & isFinite0(W0) )
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aElementOf0(W1,szNzAzT0)
% 0.76/0.87 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSelNSet,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( ( aSet0(W0)
% 0.76/0.87 & ~ isFinite0(W0) )
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aElementOf0(W1,szNzAzT0)
% 0.76/0.87 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSelCSet,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( ( aSet0(W0)
% 0.76/0.87 & isCountable0(W0) )
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aElementOf0(W1,szNzAzT0)
% 0.76/0.87 & W1 != sz00 )
% 0.76/0.87 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSelSub,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1,W2] :
% 0.76/0.87 ( ( aSet0(W1)
% 0.76/0.87 & aSet0(W2)
% 0.76/0.87 & W0 != sz00 )
% 0.76/0.87 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.76/0.87 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.76/0.87 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mSelExtra,axiom,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aSet0(W0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.76/0.87 & isFinite0(W2) )
% 0.76/0.87 => ? [W3] :
% 0.76/0.87 ( aSubsetOf0(W3,W0)
% 0.76/0.87 & isFinite0(W3)
% 0.76/0.87 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mFunSort,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => $true ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDomSet,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => aSet0(szDzozmdt0(W0)) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mImgElm,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.76/0.87 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDefPtt,definition,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aFunction0(W0)
% 0.76/0.87 & aElement0(W1) )
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( W2 = sdtlbdtrb0(W0,W1)
% 0.76/0.87 <=> ( aSet0(W2)
% 0.76/0.87 & ! [W3] :
% 0.76/0.87 ( aElementOf0(W3,W2)
% 0.76/0.87 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.76/0.87 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mPttSet,axiom,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aFunction0(W0)
% 0.76/0.87 & aElement0(W1) )
% 0.76/0.87 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDefSImg,definition,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( W2 = sdtlcdtrc0(W0,W1)
% 0.76/0.87 <=> ( aSet0(W2)
% 0.76/0.87 & ! [W3] :
% 0.76/0.87 ( aElementOf0(W3,W2)
% 0.76/0.87 <=> ? [W4] :
% 0.76/0.87 ( aElementOf0(W4,W1)
% 0.76/0.87 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mImgRng,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.76/0.87 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDefRst,definition,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( W2 = sdtexdt0(W0,W1)
% 0.76/0.87 <=> ( aFunction0(W2)
% 0.76/0.87 & szDzozmdt0(W2) = W1
% 0.76/0.87 & ! [W3] :
% 0.76/0.87 ( aElementOf0(W3,W1)
% 0.76/0.87 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mImgCount,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.76/0.87 & isCountable0(W1) )
% 0.76/0.87 => ( ! [W2,W3] :
% 0.76/0.87 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.76/0.87 & aElementOf0(W3,szDzozmdt0(W0))
% 0.76/0.87 & W2 != W3 )
% 0.76/0.87 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.76/0.87 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(mDirichlet,axiom,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aFunction0(W0)
% 0.76/0.87 => ( ( isCountable0(szDzozmdt0(W0))
% 0.76/0.87 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.76/0.87 => ( aElement0(szDzizrdt0(W0))
% 0.76/0.87 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3291,hypothesis,
% 0.76/0.87 ( aSet0(xT)
% 0.76/0.87 & isFinite0(xT) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3418,hypothesis,
% 0.76/0.87 aElementOf0(xK,szNzAzT0) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3435,hypothesis,
% 0.76/0.87 ( aSubsetOf0(xS,szNzAzT0)
% 0.76/0.87 & isCountable0(xS) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3453,hypothesis,
% 0.76/0.87 ( aFunction0(xc)
% 0.76/0.87 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.76/0.87 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3398,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.76/0.87 & isCountable0(W1) )
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( ( aFunction0(W2)
% 0.76/0.87 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.76/0.87 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.76/0.87 => ( iLess0(W0,xK)
% 0.76/0.87 => ? [W3] :
% 0.76/0.87 ( aElementOf0(W3,xT)
% 0.76/0.87 & ? [W4] :
% 0.76/0.87 ( aSubsetOf0(W4,W1)
% 0.76/0.87 & isCountable0(W4)
% 0.76/0.87 & ! [W5] :
% 0.76/0.87 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.76/0.87 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3462,hypothesis,
% 0.76/0.87 xK != sz00 ).
% 0.76/0.87
% 0.76/0.87 fof(m__3520,hypothesis,
% 0.76/0.87 xK != sz00 ).
% 0.76/0.87
% 0.76/0.87 fof(m__3533,hypothesis,
% 0.76/0.87 ( aElementOf0(xk,szNzAzT0)
% 0.76/0.87 & szszuzczcdt0(xk) = xK ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3623,hypothesis,
% 0.76/0.87 ( aFunction0(xN)
% 0.76/0.87 & szDzozmdt0(xN) = szNzAzT0
% 0.76/0.87 & sdtlpdtrp0(xN,sz00) = xS
% 0.76/0.87 & ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.76/0.87 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 0.76/0.87 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.76/0.87 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3671,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.76/0.87 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3754,hypothesis,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0) )
% 0.76/0.87 => ( sdtlseqdt0(W1,W0)
% 0.76/0.87 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3821,hypothesis,
% 0.76/0.87 ! [W0,W1] :
% 0.76/0.87 ( ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 & aElementOf0(W1,szNzAzT0)
% 0.76/0.87 & W0 != W1 )
% 0.76/0.87 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__3965,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aSet0(W1)
% 0.76/0.87 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.76/0.87 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4151,hypothesis,
% 0.76/0.87 ( aFunction0(xC)
% 0.76/0.87 & szDzozmdt0(xC) = szNzAzT0
% 0.76/0.87 & ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 0.76/0.87 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 0.76/0.87 & ! [W1] :
% 0.76/0.87 ( ( aSet0(W1)
% 0.76/0.87 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.76/0.87 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4182,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4331,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.76/0.87 & isCountable0(W1) )
% 0.76/0.87 => ! [W2] :
% 0.76/0.87 ( ( aSet0(W2)
% 0.76/0.87 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 0.76/0.87 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4411,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ? [W1] :
% 0.76/0.87 ( aElementOf0(W1,xT)
% 0.76/0.87 & ? [W2] :
% 0.76/0.87 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.76/0.87 & isCountable0(W2)
% 0.76/0.87 & ! [W3] :
% 0.76/0.87 ( ( aSet0(W3)
% 0.76/0.87 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 0.76/0.87 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4618,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ? [W1] :
% 0.76/0.87 ( aElementOf0(W1,xT)
% 0.76/0.87 & ! [W2] :
% 0.76/0.87 ( ( aSet0(W2)
% 0.76/0.87 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.76/0.87 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4660,hypothesis,
% 0.76/0.87 ( aFunction0(xe)
% 0.76/0.87 & szDzozmdt0(xe) = szNzAzT0
% 0.76/0.87 & ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4730,hypothesis,
% 0.76/0.87 ( aFunction0(xd)
% 0.76/0.87 & szDzozmdt0(xd) = szNzAzT0
% 0.76/0.87 & ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 => ! [W1] :
% 0.76/0.87 ( ( aSet0(W1)
% 0.76/0.87 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.76/0.87 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4758,hypothesis,
% 0.76/0.87 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4854,hypothesis,
% 0.76/0.87 ( aElementOf0(szDzizrdt0(xd),xT)
% 0.76/0.87 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4891,hypothesis,
% 0.76/0.87 ( aSet0(xO)
% 0.76/0.87 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4908,hypothesis,
% 0.76/0.87 ( aSet0(xO)
% 0.76/0.87 & isCountable0(xO) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__4982,hypothesis,
% 0.76/0.87 ! [W0] :
% 0.76/0.87 ( aElementOf0(W0,xO)
% 0.76/0.87 => ? [W1] :
% 0.76/0.87 ( aElementOf0(W1,szNzAzT0)
% 0.76/0.87 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 0.76/0.87 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 0.76/0.87
% 0.76/0.87 fof(m__5009,hypothesis,
% 0.76/0.87 aElementOf0(xx,xO) ).
% 0.76/0.87
% 0.76/0.87 fof(m__,conjecture,
% 0.76/0.87 ? [W0] :
% 0.76/0.87 ( aElementOf0(W0,szNzAzT0)
% 0.76/0.87 & sdtlpdtrp0(xe,W0) = xx ) ).
% 0.76/0.87
% 0.76/0.87 %------------------------------------------------------------------------------
% 0.76/0.87 %-------------------------------------------
% 0.76/0.87 % Proof found
% 0.76/0.87 % SZS status Theorem for theBenchmark
% 0.76/0.87 % SZS output start Proof
% 0.76/0.87 %ClaNum:286(EqnAxiom:92)
% 0.76/0.87 %VarNum:1231(SingletonVarNum:359)
% 0.76/0.87 %MaxLitNum:9
% 0.76/0.87 %MaxfuncDepth:4
% 0.76/0.87 %SharedTerms:60
% 0.76/0.87 %goalClause: 154
% 0.76/0.87 [99]P1(a41)
% 0.76/0.87 [100]P1(a49)
% 0.76/0.87 [102]P1(a50)
% 0.76/0.87 [103]P5(a37)
% 0.76/0.87 [104]P5(a49)
% 0.76/0.87 [105]P6(a41)
% 0.76/0.87 [106]P6(a51)
% 0.76/0.87 [107]P6(a50)
% 0.76/0.87 [108]P2(a52)
% 0.76/0.87 [109]P2(a46)
% 0.76/0.87 [110]P2(a45)
% 0.76/0.87 [111]P2(a47)
% 0.76/0.87 [112]P2(a48)
% 0.76/0.87 [114]P3(a3,a41)
% 0.76/0.87 [115]P3(a44,a41)
% 0.76/0.87 [116]P3(a1,a41)
% 0.76/0.87 [117]P3(a53,a50)
% 0.76/0.87 [118]P7(a51,a41)
% 0.76/0.87 [126]~E(a3,a44)
% 0.76/0.87 [93]E(f2(a1),a44)
% 0.76/0.87 [94]E(f4(a3),a37)
% 0.76/0.87 [95]E(f39(a46),a41)
% 0.76/0.87 [96]E(f39(a45),a41)
% 0.76/0.87 [97]E(f39(a47),a41)
% 0.76/0.87 [98]E(f39(a48),a41)
% 0.76/0.87 [113]E(f5(a46,a3),a51)
% 0.76/0.87 [119]E(f38(a51,a44),f39(a52))
% 0.76/0.87 [120]P3(f40(a48),a49)
% 0.76/0.87 [121]P6(f6(a48,f40(a48)))
% 0.76/0.87 [123]P7(f34(a52,f39(a52)),a49)
% 0.76/0.87 [124]P7(f34(a48,f39(a48)),a49)
% 0.76/0.87 [122]E(f34(a47,f6(a48,f40(a48))),a50)
% 0.76/0.87 [127]P1(x1271)+~E(x1271,a37)
% 0.76/0.87 [134]~P1(x1341)+P7(x1341,x1341)
% 0.76/0.88 [142]~P3(x1421,a41)+P9(a3,x1421)
% 0.76/0.88 [148]P9(x1481,x1481)+~P3(x1481,a41)
% 0.76/0.88 [131]~P2(x1311)+P1(f39(x1311))
% 0.76/0.88 [132]~P1(x1321)+P4(f7(x1321))
% 0.76/0.88 [136]~P3(x1361,a41)+~E(f2(x1361),a3)
% 0.76/0.88 [137]~P3(x1371,a41)+~E(f2(x1371),x1371)
% 0.76/0.88 [139]~P3(x1391,a41)+P5(f4(x1391))
% 0.76/0.88 [140]~P3(x1401,a41)+P6(f19(x1401))
% 0.76/0.88 [149]~P3(x1491,a41)+P3(f2(x1491),a41)
% 0.76/0.88 [150]~P3(x1501,a41)+P3(f20(x1501),a49)
% 0.76/0.88 [151]~P3(x1511,a41)+P3(f24(x1511),a49)
% 0.76/0.88 [152]~P3(x1521,a50)+P3(f25(x1521),a41)
% 0.76/0.88 [154]~P3(x1541,a41)+~E(f5(a47,x1541),a53)
% 0.76/0.88 [155]~P3(x1551,a41)+P9(x1551,f2(x1551))
% 0.76/0.88 [156]~P3(x1561,a41)+P8(x1561,f2(x1561))
% 0.76/0.88 [165]~P3(x1651,a41)+P6(f5(a46,x1651))
% 0.76/0.88 [166]~P3(x1661,a41)+P2(f5(a45,x1661))
% 0.76/0.88 [167]~P3(x1671,a41)+~P9(f2(x1671),a3)
% 0.76/0.88 [175]~P3(x1751,a41)+P7(f5(a46,x1751),a41)
% 0.76/0.88 [141]~P3(x1411,a41)+E(f7(f4(x1411)),x1411)
% 0.76/0.88 [153]~P3(x1531,a50)+E(f5(a47,f25(x1531)),x1531)
% 0.76/0.88 [177]~P3(x1771,a41)+E(f42(f5(a46,x1771)),f5(a47,x1771))
% 0.76/0.88 [195]~P3(x1951,a50)+P3(f25(x1951),f6(a48,f40(a48)))
% 0.76/0.88 [250]~P3(x2501,a41)+P7(f34(f5(a45,x2501),f39(f5(a45,x2501))),a49)
% 0.76/0.88 [252]~P3(x2521,a41)+P7(f19(x2521),f36(f5(a46,x2521),f42(f5(a46,x2521))))
% 0.76/0.88 [254]~P3(x2541,a41)+E(f38(f36(f5(a46,x2541),f42(f5(a46,x2541))),a1),f39(f5(a45,x2541)))
% 0.76/0.88 [135]~P3(x1352,x1351)+~E(x1351,a37)
% 0.76/0.88 [130]~P1(x1301)+~P6(x1301)+~E(x1301,a37)
% 0.76/0.88 [133]~P5(x1331)+~P6(x1331)+~P1(x1331)
% 0.76/0.88 [128]~P1(x1281)+~E(x1281,a37)+E(f7(x1281),a3)
% 0.76/0.88 [129]~P1(x1291)+E(x1291,a37)+~E(f7(x1291),a3)
% 0.76/0.88 [138]~P1(x1381)+P3(f8(x1381),x1381)+E(x1381,a37)
% 0.76/0.88 [145]~P1(x1451)+~P5(x1451)+P3(f7(x1451),a41)
% 0.76/0.88 [157]~P3(x1571,a41)+E(x1571,a3)+P3(f23(x1571),a41)
% 0.76/0.88 [158]~P1(x1581)+P5(x1581)+~P3(f7(x1581),a41)
% 0.76/0.88 [164]~P5(x1641)+~P7(x1641,a41)+P3(f9(x1641),a41)
% 0.76/0.88 [143]~P3(x1431,a41)+E(x1431,a3)+E(f2(f23(x1431)),x1431)
% 0.76/0.88 [178]~P5(x1781)+~P7(x1781,a41)+P7(x1781,f4(f9(x1781)))
% 0.76/0.88 [146]~P7(x1461,x1462)+P1(x1461)+~P1(x1462)
% 0.76/0.88 [147]~P3(x1471,x1472)+P4(x1471)+~P1(x1472)
% 0.76/0.88 [144]P1(x1441)+~P3(x1442,a41)+~E(x1441,f4(x1442))
% 0.76/0.88 [179]~P4(x1792)+~P2(x1791)+P7(f6(x1791,x1792),f39(x1791))
% 0.76/0.88 [196]~P2(x1961)+~P3(x1962,f39(x1961))+P4(f5(x1961,x1962))
% 0.76/0.88 [198]~P1(x1981)+~P3(x1982,x1981)+E(f35(f36(x1981,x1982),x1982),x1981)
% 0.76/0.88 [234]~P2(x2341)+~P3(x2342,f39(x2341))+P3(f5(x2341,x2342),f34(x2341,f39(x2341)))
% 0.76/0.88 [224]~P2(x2241)+~P6(f39(x2241))+P4(f40(x2241))+~P5(f34(x2241,f39(x2241)))
% 0.76/0.88 [243]~P2(x2431)+~P6(f39(x2431))+~P5(f34(x2431,f39(x2431)))+P6(f6(x2431,f40(x2431)))
% 0.76/0.88 [247]~P3(x2471,a41)+~P7(f5(a46,x2471),a41)+~P6(f5(a46,x2471))+P6(f5(a46,f2(x2471)))
% 0.76/0.88 [271]~P3(x2711,a41)+~P7(f5(a46,x2711),a41)+~P6(f5(a46,x2711))+P7(f5(a46,f2(x2711)),f36(f5(a46,x2711),f42(f5(a46,x2711))))
% 0.76/0.88 [159]~P5(x1592)+~P7(x1591,x1592)+P5(x1591)+~P1(x1592)
% 0.76/0.88 [163]P3(x1632,x1631)+~E(x1632,f42(x1631))+~P7(x1631,a41)+E(x1631,a37)
% 0.76/0.88 [169]~P1(x1691)+~P4(x1692)+~P5(x1691)+P5(f35(x1691,x1692))
% 0.76/0.88 [170]~P1(x1701)+~P4(x1702)+~P5(x1701)+P5(f36(x1701,x1702))
% 0.76/0.88 [171]~P1(x1711)+~P4(x1712)+~P6(x1711)+P6(f35(x1711,x1712))
% 0.76/0.88 [172]~P1(x1721)+~P4(x1722)+~P6(x1721)+P6(f36(x1721,x1722))
% 0.76/0.88 [173]~P1(x1731)+P5(x1731)+~P3(x1732,a41)+~E(f38(x1731,x1732),a37)
% 0.76/0.88 [176]E(x1761,x1762)+~E(f2(x1761),f2(x1762))+~P3(x1762,a41)+~P3(x1761,a41)
% 0.76/0.88 [182]~P1(x1822)+~P5(x1822)+~P7(x1821,x1822)+P9(f7(x1821),f7(x1822))
% 0.76/0.88 [185]~P1(x1851)+~P5(x1851)+~P3(x1852,a41)+P5(f38(x1851,x1852))
% 0.76/0.88 [194]~P1(x1941)+~P1(x1942)+P7(x1941,x1942)+P3(f26(x1942,x1941),x1941)
% 0.76/0.88 [202]P9(x2021,x2022)+P9(f2(x2022),x2021)+~P3(x2022,a41)+~P3(x2021,a41)
% 0.76/0.88 [214]~P9(x2141,x2142)+~P3(x2142,a41)+~P3(x2141,a41)+P7(f4(x2141),f4(x2142))
% 0.76/0.88 [215]~P9(x2151,x2152)+~P3(x2152,a41)+~P3(x2151,a41)+P9(f2(x2151),f2(x2152))
% 0.76/0.88 [217]~P1(x2171)+~P1(x2172)+P7(x2171,x2172)+~P3(f26(x2172,x2171),x2172)
% 0.76/0.88 [219]P9(x2191,x2192)+~P3(x2192,a41)+~P3(x2191,a41)+~P7(f4(x2191),f4(x2192))
% 0.76/0.88 [220]P9(x2201,x2202)+~P3(x2202,a41)+~P3(x2201,a41)+~P9(f2(x2201),f2(x2202))
% 0.76/0.88 [238]~P9(x2382,x2381)+~P3(x2382,a41)+~P3(x2381,a41)+P7(f5(a46,x2381),f5(a46,x2382))
% 0.76/0.88 [197]P3(x1972,x1971)+~P1(x1971)+~P4(x1972)+E(f36(f35(x1971,x1972),x1972),x1971)
% 0.76/0.88 [205]~E(x2051,x2052)+~P3(x2052,a41)+~P3(x2051,a41)+P3(x2051,f4(f2(x2052)))
% 0.76/0.88 [226]~P3(x2262,a41)+~P3(x2261,a41)+~P3(x2261,f4(x2262))+P3(x2261,f4(f2(x2262)))
% 0.76/0.88 [242]E(x2421,x2422)+~P3(x2422,a41)+~P3(x2421,a41)+~E(f42(f5(a46,x2421)),f42(f5(a46,x2422)))
% 0.76/0.88 [245]~P1(x2452)+~P3(x2451,a41)+E(f5(f5(a45,x2451),x2452),f20(x2451))+~P3(x2452,f38(f19(x2451),a1))
% 0.76/0.88 [225]~P1(x2251)+~P5(x2251)+~P3(x2252,x2251)+E(f2(f7(f36(x2251,x2252))),f7(x2251))
% 0.76/0.88 [255]~P1(x2552)+~P3(x2551,a41)+E(f5(f5(a45,x2551),x2552),f24(x2551))+~P3(x2552,f38(f5(a46,f2(x2551)),a1))
% 0.76/0.88 [257]~P1(x2572)+~P3(x2571,a41)+E(f5(f5(a45,x2571),x2572),f5(a48,x2571))+~P3(x2572,f38(f5(a46,f2(x2571)),a1))
% 0.76/0.88 [285]~P1(x2851)+~P3(x2852,a41)+P3(f35(x2851,f42(f5(a46,x2852))),f38(a51,a44))+~P3(x2851,f38(f36(f5(a46,x2852),f42(f5(a46,x2852))),a1))
% 0.76/0.88 [286]~P1(x2861)+~P3(x2862,a41)+~P3(x2861,f38(f36(f5(a46,x2862),f42(f5(a46,x2862))),a1))+E(f5(a52,f35(x2861,f42(f5(a46,x2862)))),f5(f5(a45,x2862),x2861))
% 0.76/0.88 [189]~P1(x1892)+~P7(x1893,x1892)+P3(x1891,x1892)+~P3(x1891,x1893)
% 0.76/0.88 [160]~P1(x1602)+~P4(x1603)+P1(x1601)+~E(x1601,f35(x1602,x1603))
% 0.76/0.88 [161]~P1(x1612)+~P4(x1613)+P1(x1611)+~E(x1611,f36(x1612,x1613))
% 0.76/0.88 [162]~P4(x1623)+~P2(x1622)+P1(x1621)+~E(x1621,f6(x1622,x1623))
% 0.76/0.88 [174]~P1(x1742)+P1(x1741)+~P3(x1743,a41)+~E(x1741,f38(x1742,x1743))
% 0.76/0.88 [183]~P3(x1831,x1832)+~P3(x1833,a41)+P3(x1831,a41)+~E(x1832,f4(x1833))
% 0.76/0.88 [191]~P2(x1912)+P1(x1911)+~P7(x1913,f39(x1912))+~E(x1911,f34(x1912,x1913))
% 0.76/0.88 [192]~P2(x1922)+P2(x1921)+~P7(x1923,f39(x1922))+~E(x1921,f33(x1922,x1923))
% 0.76/0.88 [193]~P2(x1933)+~P7(x1932,f39(x1933))+E(f39(x1931),x1932)+~E(x1931,f33(x1933,x1932))
% 0.76/0.88 [199]~P3(x1991,x1993)+~P3(x1992,a41)+P9(f2(x1991),x1992)+~E(x1993,f4(x1992))
% 0.76/0.88 [180]~P1(x1802)+~P1(x1801)+~P7(x1802,x1801)+~P7(x1801,x1802)+E(x1801,x1802)
% 0.76/0.88 [212]~P9(x2122,x2121)+~P9(x2121,x2122)+E(x2121,x2122)+~P3(x2122,a41)+~P3(x2121,a41)
% 0.76/0.88 [168]~P5(x1681)+P3(x1682,x1681)+~E(x1682,f43(x1681))+~P7(x1681,a41)+E(x1681,a37)
% 0.76/0.88 [188]~P1(x1882)+~P6(x1882)+~P3(x1881,a41)+E(x1881,a3)+P6(f38(x1882,x1881))
% 0.76/0.88 [216]~P3(x2162,x2161)+P3(f29(x2161,x2162),x2161)+~P7(x2161,a41)+E(x2161,a37)+E(x2162,f42(x2161))
% 0.76/0.88 [227]~P1(x2271)+~P5(x2271)+~P3(x2272,a41)+~P9(x2272,f7(x2271))+P7(f30(x2271,x2272),x2271)
% 0.76/0.88 [229]~P1(x2291)+P3(f32(x2292,x2291),x2291)+~P3(x2292,a41)+E(x2291,f4(x2292))+P3(f32(x2292,x2291),a41)
% 0.76/0.88 [230]~P3(x2302,x2301)+~P7(x2301,a41)+~P9(x2302,f29(x2301,x2302))+E(x2301,a37)+E(x2302,f42(x2301))
% 0.76/0.88 [237]~P6(x2372)+~P2(x2371)+~E(f10(x2371,x2372),f11(x2371,x2372))+~P7(x2372,f39(x2371))+P6(f34(x2371,x2372))
% 0.76/0.88 [239]~P6(x2392)+~P2(x2391)+P3(f11(x2391,x2392),f39(x2391))+~P7(x2392,f39(x2391))+P6(f34(x2391,x2392))
% 0.76/0.88 [240]~P6(x2402)+~P2(x2401)+P3(f10(x2401,x2402),f39(x2401))+~P7(x2402,f39(x2401))+P6(f34(x2401,x2402))
% 0.76/0.88 [204]P3(x2042,x2041)+~P1(x2041)+~P4(x2042)+~P5(x2041)+E(f7(f35(x2041,x2042)),f2(f7(x2041)))
% 0.76/0.88 [223]~P1(x2231)+~P5(x2231)+~P3(x2232,a41)+~P9(x2232,f7(x2231))+E(f7(f30(x2231,x2232)),x2232)
% 0.76/0.88 [232]E(x2321,x2322)+P3(x2321,f4(x2322))+~P3(x2322,a41)+~P3(x2321,a41)+~P3(x2321,f4(f2(x2322)))
% 0.76/0.88 [244]~P1(x2441)+P3(f32(x2442,x2441),x2441)+~P3(x2442,a41)+E(x2441,f4(x2442))+P9(f2(f32(x2442,x2441)),x2442)
% 0.76/0.88 [246]~P6(x2462)+~P2(x2461)+~P7(x2462,f39(x2461))+P6(f34(x2461,x2462))+E(f5(x2461,f10(x2461,x2462)),f5(x2461,f11(x2461,x2462)))
% 0.76/0.88 [190]~P3(x1903,x1901)+P9(x1902,x1903)+~E(x1902,f42(x1901))+~P7(x1901,a41)+E(x1901,a37)
% 0.76/0.88 [218]P3(x2181,x2182)+~P3(x2183,a41)+~P3(x2181,a41)+~P9(f2(x2181),x2183)+~E(x2182,f4(x2183))
% 0.76/0.88 [251]~P1(x2511)+~P5(x2513)+~P3(x2512,a41)+~P7(x2513,f38(x2511,x2512))+P5(f13(x2511,x2512,x2513))
% 0.76/0.88 [253]~P1(x2531)+~P5(x2533)+~P3(x2532,a41)+~P7(x2533,f38(x2531,x2532))+P7(f13(x2531,x2532,x2533),x2531)
% 0.76/0.88 [272]~P1(x2722)+~P5(x2721)+~P3(x2723,a41)+~P7(x2721,f38(x2722,x2723))+P7(x2721,f38(f13(x2722,x2723,x2721),x2723))
% 0.76/0.88 [184]~P1(x1844)+~P4(x1842)+~P3(x1841,x1843)+~E(x1841,x1842)+~E(x1843,f36(x1844,x1842))
% 0.76/0.88 [186]~P1(x1863)+~P4(x1864)+~P3(x1861,x1862)+P4(x1861)+~E(x1862,f35(x1863,x1864))
% 0.76/0.88 [187]~P1(x1873)+~P4(x1874)+~P3(x1871,x1872)+P4(x1871)+~E(x1872,f36(x1873,x1874))
% 0.76/0.88 [201]~P1(x2012)+~P4(x2014)+~P3(x2011,x2013)+P3(x2011,x2012)+~E(x2013,f36(x2012,x2014))
% 0.76/0.88 [203]~P4(x2033)+~P2(x2031)+~P3(x2032,x2034)+E(f5(x2031,x2032),x2033)+~E(x2034,f6(x2031,x2033))
% 0.76/0.88 [207]~P1(x2074)+~P3(x2071,x2073)+~P3(x2072,a41)+E(f7(x2071),x2072)+~E(x2073,f38(x2074,x2072))
% 0.76/0.88 [209]~P4(x2094)+~P2(x2092)+~P3(x2091,x2093)+P3(x2091,f39(x2092))+~E(x2093,f6(x2092,x2094))
% 0.76/0.88 [213]~P1(x2132)+~P3(x2131,x2133)+P7(x2131,x2132)+~P3(x2134,a41)+~E(x2133,f38(x2132,x2134))
% 0.76/0.88 [231]~P2(x2313)+~P3(x2312,x2314)+~P7(x2314,f39(x2313))+E(f5(x2311,x2312),f5(x2313,x2312))+~E(x2311,f33(x2313,x2314))
% 0.76/0.88 [278]~P2(x2781)+~P3(x2784,x2783)+~E(x2783,f34(x2781,x2782))+~P7(x2782,f39(x2781))+P3(f17(x2781,x2782,x2783,x2784),x2782)
% 0.76/0.88 [279]~P2(x2791)+~P3(x2794,x2793)+~E(x2793,f34(x2791,x2792))+~P7(x2792,f39(x2791))+E(f5(x2791,f17(x2791,x2792,x2793,x2794)),x2794)
% 0.76/0.88 [222]~P5(x2221)+~P3(x2222,x2221)+P3(f31(x2221,x2222),x2221)+~P7(x2221,a41)+E(x2221,a37)+E(x2222,f43(x2221))
% 0.76/0.88 [235]~P5(x2351)+~P3(x2352,x2351)+~P7(x2351,a41)+~P9(f31(x2351,x2352),x2352)+E(x2351,a37)+E(x2352,f43(x2351))
% 0.76/0.88 [260]~P1(x2601)+~P3(x2602,a41)+~P3(f32(x2602,x2601),x2601)+E(x2601,f4(x2602))+~P3(f32(x2602,x2601),a41)+~P9(f2(f32(x2602,x2601)),x2602)
% 0.76/0.88 [208]~P1(x2082)+~P1(x2081)+~P7(x2083,x2082)+~P7(x2081,x2083)+P7(x2081,x2082)+~P1(x2083)
% 0.76/0.88 [236]~P9(x2361,x2363)+P9(x2361,x2362)+~P9(x2363,x2362)+~P3(x2362,a41)+~P3(x2363,a41)+~P3(x2361,a41)
% 0.76/0.88 [200]~P5(x2001)+~P3(x2002,x2001)+P9(x2002,x2003)+~E(x2003,f43(x2001))+~P7(x2001,a41)+E(x2001,a37)
% 0.76/0.88 [249]~P2(x2491)+~P2(x2492)+P3(f12(x2492,x2493,x2491),x2493)+~E(f39(x2491),x2493)+~P7(x2493,f39(x2492))+E(x2491,f33(x2492,x2493))
% 0.76/0.88 [256]~P1(x2561)+~P1(x2562)+~P4(x2563)+P3(f27(x2562,x2563,x2561),x2561)+~E(f27(x2562,x2563,x2561),x2563)+E(x2561,f36(x2562,x2563))
% 0.76/0.88 [258]~P1(x2581)+~P1(x2582)+~P4(x2583)+P3(f28(x2582,x2583,x2581),x2581)+E(x2581,f35(x2582,x2583))+P4(f28(x2582,x2583,x2581))
% 0.76/0.88 [259]~P1(x2591)+~P1(x2592)+~P4(x2593)+P3(f27(x2592,x2593,x2591),x2591)+E(x2591,f36(x2592,x2593))+P4(f27(x2592,x2593,x2591))
% 0.76/0.88 [261]~P1(x2611)+~P1(x2612)+~P4(x2613)+P3(f27(x2612,x2613,x2611),x2611)+P3(f27(x2612,x2613,x2611),x2612)+E(x2611,f36(x2612,x2613))
% 0.76/0.88 [264]~P1(x2641)+~P4(x2643)+~P2(x2642)+P3(f15(x2642,x2643,x2641),x2641)+P3(f15(x2642,x2643,x2641),f39(x2642))+E(x2641,f6(x2642,x2643))
% 0.76/0.88 [265]~P1(x2651)+~P1(x2652)+P3(f14(x2652,x2653,x2651),x2651)+P7(f14(x2652,x2653,x2651),x2652)+~P3(x2653,a41)+E(x2651,f38(x2652,x2653))
% 0.76/0.88 [268]~P1(x2681)+~P2(x2682)+P3(f16(x2682,x2683,x2681),x2681)+P3(f18(x2682,x2683,x2681),x2683)+~P7(x2683,f39(x2682))+E(x2681,f34(x2682,x2683))
% 0.76/0.88 [262]~P1(x2621)+~P4(x2623)+~P2(x2622)+P3(f15(x2622,x2623,x2621),x2621)+E(x2621,f6(x2622,x2623))+E(f5(x2622,f15(x2622,x2623,x2621)),x2623)
% 0.76/0.88 [263]~P1(x2631)+~P1(x2632)+P3(f14(x2632,x2633,x2631),x2631)+~P3(x2633,a41)+E(x2631,f38(x2632,x2633))+E(f7(f14(x2632,x2633,x2631)),x2633)
% 0.76/0.88 [273]~P1(x2731)+~P2(x2732)+P3(f16(x2732,x2733,x2731),x2731)+~P7(x2733,f39(x2732))+E(x2731,f34(x2732,x2733))+E(f5(x2732,f18(x2732,x2733,x2731)),f16(x2732,x2733,x2731))
% 0.76/0.88 [275]~P2(x2752)+~P2(x2751)+~E(f39(x2751),x2753)+~P7(x2753,f39(x2752))+E(x2751,f33(x2752,x2753))+~E(f5(x2751,f12(x2752,x2753,x2751)),f5(x2752,f12(x2752,x2753,x2751)))
% 0.76/0.88 [284]~P1(x2841)+~P6(x2843)+~P3(x2842,a41)+~P3(x2841,f38(x2843,a1))+~P7(x2843,f36(f5(a46,x2842),f42(f5(a46,x2842))))+P3(x2841,f38(f36(f5(a46,x2842),f42(f5(a46,x2842))),a1))
% 0.76/0.88 [181]~P1(x1814)+~P4(x1813)+~P4(x1811)+P3(x1811,x1812)+~E(x1811,x1813)+~E(x1812,f35(x1814,x1813))
% 0.76/0.88 [206]~P1(x2063)+~P4(x2062)+~P3(x2061,x2064)+E(x2061,x2062)+P3(x2061,x2063)+~E(x2064,f35(x2063,x2062))
% 0.76/0.88 [210]~P1(x2103)+~P4(x2104)+~P4(x2101)+~P3(x2101,x2103)+P3(x2101,x2102)+~E(x2102,f35(x2103,x2104))
% 0.76/0.88 [221]~P1(x2214)+~P7(x2211,x2214)+P3(x2211,x2212)+~P3(x2213,a41)+~E(x2212,f38(x2214,x2213))+~E(f7(x2211),x2213)
% 0.76/0.88 [228]~P4(x2284)+~P2(x2283)+P3(x2281,x2282)+~E(f5(x2283,x2281),x2284)+~P3(x2281,f39(x2283))+~E(x2282,f6(x2283,x2284))
% 0.76/0.88 [241]~P2(x2413)+~P3(x2415,x2414)+P3(x2411,x2412)+~P7(x2414,f39(x2413))+~E(x2412,f34(x2413,x2414))+~E(f5(x2413,x2415),x2411)
% 0.76/0.88 [233]E(f42(x2332),f42(x2331))+~P7(x2331,a41)+~P7(x2332,a41)+~P3(f42(x2331),x2332)+~P3(f42(x2332),x2331)+E(x2331,a37)+E(x2332,a37)
% 0.76/0.88 [248]~P1(x2483)+~P1(x2482)+P7(x2482,x2483)+~P3(x2481,a41)+~P7(f38(x2482,x2481),f38(x2483,x2481))+E(x2481,a3)+E(f38(x2482,x2481),a37)
% 0.76/0.88 [270]~P1(x2701)+~P1(x2702)+~P4(x2703)+E(f28(x2702,x2703,x2701),x2703)+P3(f28(x2702,x2703,x2701),x2701)+P3(f28(x2702,x2703,x2701),x2702)+E(x2701,f35(x2702,x2703))
% 0.76/0.88 [276]~P1(x2761)+~P1(x2762)+~P4(x2763)+~E(f28(x2762,x2763,x2761),x2763)+~P3(f28(x2762,x2763,x2761),x2761)+E(x2761,f35(x2762,x2763))+~P4(f28(x2762,x2763,x2761))
% 0.76/0.88 [277]~P1(x2771)+~P1(x2772)+~P4(x2773)+~P3(f28(x2772,x2773,x2771),x2771)+~P3(f28(x2772,x2773,x2771),x2772)+E(x2771,f35(x2772,x2773))+~P4(f28(x2772,x2773,x2771))
% 0.76/0.88 [280]~P1(x2801)+~P1(x2802)+~P3(x2803,a41)+~P3(f14(x2802,x2803,x2801),x2801)+~P7(f14(x2802,x2803,x2801),x2802)+E(x2801,f38(x2802,x2803))+~E(f7(f14(x2802,x2803,x2801)),x2803)
% 0.76/0.88 [281]~P1(x2811)+~P4(x2813)+~P2(x2812)+~P3(f15(x2812,x2813,x2811),x2811)+~P3(f15(x2812,x2813,x2811),f39(x2812))+E(x2811,f6(x2812,x2813))+~E(f5(x2812,f15(x2812,x2813,x2811)),x2813)
% 0.76/0.88 [211]~P1(x2114)+~P4(x2112)+~P4(x2111)+~P3(x2111,x2114)+E(x2111,x2112)+P3(x2111,x2113)+~E(x2113,f36(x2114,x2112))
% 0.76/0.88 [274]~P1(x2741)+~P2(x2742)+~P3(x2744,x2743)+~P7(x2743,f39(x2742))+~P3(f16(x2742,x2743,x2741),x2741)+~E(f5(x2742,x2744),f16(x2742,x2743,x2741))+E(x2741,f34(x2742,x2743))
% 0.76/0.88 [282]~P1(x2821)+~P1(x2822)+~P4(x2823)+E(f27(x2822,x2823,x2821),x2823)+~P3(f27(x2822,x2823,x2821),x2821)+~P3(f27(x2822,x2823,x2821),x2822)+E(x2821,f36(x2822,x2823))+~P4(f27(x2822,x2823,x2821))
% 0.76/0.88 [266]~P6(x2662)+~P2(x2663)+~E(f39(x2663),f38(x2662,x2661))+~P3(x2661,a41)+~P7(x2662,a41)+~P8(x2661,a44)+P6(f21(x2661,x2662,x2663))+~P7(f34(x2663,f39(x2663)),a49)
% 0.76/0.88 [267]~P6(x2672)+~P2(x2673)+~E(f39(x2673),f38(x2672,x2671))+~P3(x2671,a41)+~P7(x2672,a41)+~P8(x2671,a44)+P3(f22(x2671,x2672,x2673),a49)+~P7(f34(x2673,f39(x2673)),a49)
% 0.76/0.88 [269]~P6(x2692)+~P2(x2693)+~E(f39(x2693),f38(x2692,x2691))+~P3(x2691,a41)+~P7(x2692,a41)+~P8(x2691,a44)+P7(f21(x2691,x2692,x2693),x2692)+~P7(f34(x2693,f39(x2693)),a49)
% 0.76/0.88 [283]~P6(x2834)+~P2(x2831)+~E(f39(x2831),f38(x2834,x2833))+~P3(x2833,a41)+~P7(x2834,a41)+~P8(x2833,a44)+E(f5(x2831,x2832),f22(x2833,x2834,x2831))+~P3(x2832,f38(f21(x2833,x2834,x2831),x2833))+~P7(f34(x2831,f39(x2831)),a49)
% 0.76/0.88 %EqnAxiom
% 0.76/0.88 [1]E(x11,x11)
% 0.76/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.88 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.76/0.88 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.76/0.88 [6]~E(x61,x62)+E(f39(x61),f39(x62))
% 0.76/0.88 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.76/0.88 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.76/0.88 [9]~E(x91,x92)+E(f15(x91,x93,x94),f15(x92,x93,x94))
% 0.76/0.88 [10]~E(x101,x102)+E(f15(x103,x101,x104),f15(x103,x102,x104))
% 0.76/0.88 [11]~E(x111,x112)+E(f15(x113,x114,x111),f15(x113,x114,x112))
% 0.76/0.88 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 0.76/0.88 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 0.76/0.88 [14]~E(x141,x142)+E(f36(x141,x143),f36(x142,x143))
% 0.76/0.88 [15]~E(x151,x152)+E(f36(x153,x151),f36(x153,x152))
% 0.76/0.88 [16]~E(x161,x162)+E(f38(x161,x163),f38(x162,x163))
% 0.76/0.88 [17]~E(x171,x172)+E(f38(x173,x171),f38(x173,x172))
% 0.76/0.88 [18]~E(x181,x182)+E(f14(x181,x183,x184),f14(x182,x183,x184))
% 0.76/0.88 [19]~E(x191,x192)+E(f14(x193,x191,x194),f14(x193,x192,x194))
% 0.76/0.88 [20]~E(x201,x202)+E(f14(x203,x204,x201),f14(x203,x204,x202))
% 0.76/0.88 [21]~E(x211,x212)+E(f40(x211),f40(x212))
% 0.76/0.88 [22]~E(x221,x222)+E(f10(x221,x223),f10(x222,x223))
% 0.76/0.88 [23]~E(x231,x232)+E(f10(x233,x231),f10(x233,x232))
% 0.76/0.88 [24]~E(x241,x242)+E(f32(x241,x243),f32(x242,x243))
% 0.76/0.88 [25]~E(x251,x252)+E(f32(x253,x251),f32(x253,x252))
% 0.76/0.88 [26]~E(x261,x262)+E(f34(x261,x263),f34(x262,x263))
% 0.76/0.88 [27]~E(x271,x272)+E(f34(x273,x271),f34(x273,x272))
% 0.76/0.88 [28]~E(x281,x282)+E(f19(x281),f19(x282))
% 0.76/0.88 [29]~E(x291,x292)+E(f35(x291,x293),f35(x292,x293))
% 0.76/0.88 [30]~E(x301,x302)+E(f35(x303,x301),f35(x303,x302))
% 0.76/0.88 [31]~E(x311,x312)+E(f11(x311,x313),f11(x312,x313))
% 0.76/0.88 [32]~E(x321,x322)+E(f11(x323,x321),f11(x323,x322))
% 0.76/0.88 [33]~E(x331,x332)+E(f42(x331),f42(x332))
% 0.76/0.88 [34]~E(x341,x342)+E(f7(x341),f7(x342))
% 0.76/0.88 [35]~E(x351,x352)+E(f28(x351,x353,x354),f28(x352,x353,x354))
% 0.76/0.88 [36]~E(x361,x362)+E(f28(x363,x361,x364),f28(x363,x362,x364))
% 0.76/0.88 [37]~E(x371,x372)+E(f28(x373,x374,x371),f28(x373,x374,x372))
% 0.76/0.88 [38]~E(x381,x382)+E(f13(x381,x383,x384),f13(x382,x383,x384))
% 0.76/0.88 [39]~E(x391,x392)+E(f13(x393,x391,x394),f13(x393,x392,x394))
% 0.76/0.88 [40]~E(x401,x402)+E(f13(x403,x404,x401),f13(x403,x404,x402))
% 0.76/0.88 [41]~E(x411,x412)+E(f43(x411),f43(x412))
% 0.76/0.88 [42]~E(x421,x422)+E(f33(x421,x423),f33(x422,x423))
% 0.76/0.88 [43]~E(x431,x432)+E(f33(x433,x431),f33(x433,x432))
% 0.76/0.88 [44]~E(x441,x442)+E(f26(x441,x443),f26(x442,x443))
% 0.76/0.88 [45]~E(x451,x452)+E(f26(x453,x451),f26(x453,x452))
% 0.76/0.88 [46]~E(x461,x462)+E(f12(x461,x463,x464),f12(x462,x463,x464))
% 0.76/0.88 [47]~E(x471,x472)+E(f12(x473,x471,x474),f12(x473,x472,x474))
% 0.76/0.88 [48]~E(x481,x482)+E(f12(x483,x484,x481),f12(x483,x484,x482))
% 0.76/0.88 [49]~E(x491,x492)+E(f24(x491),f24(x492))
% 0.76/0.88 [50]~E(x501,x502)+E(f8(x501),f8(x502))
% 0.76/0.88 [51]~E(x511,x512)+E(f27(x511,x513,x514),f27(x512,x513,x514))
% 0.76/0.88 [52]~E(x521,x522)+E(f27(x523,x521,x524),f27(x523,x522,x524))
% 0.76/0.88 [53]~E(x531,x532)+E(f27(x533,x534,x531),f27(x533,x534,x532))
% 0.76/0.88 [54]~E(x541,x542)+E(f16(x541,x543,x544),f16(x542,x543,x544))
% 0.76/0.88 [55]~E(x551,x552)+E(f16(x553,x551,x554),f16(x553,x552,x554))
% 0.76/0.88 [56]~E(x561,x562)+E(f16(x563,x564,x561),f16(x563,x564,x562))
% 0.76/0.88 [57]~E(x571,x572)+E(f30(x571,x573),f30(x572,x573))
% 0.76/0.88 [58]~E(x581,x582)+E(f30(x583,x581),f30(x583,x582))
% 0.76/0.88 [59]~E(x591,x592)+E(f22(x591,x593,x594),f22(x592,x593,x594))
% 0.76/0.88 [60]~E(x601,x602)+E(f22(x603,x601,x604),f22(x603,x602,x604))
% 0.76/0.88 [61]~E(x611,x612)+E(f22(x613,x614,x611),f22(x613,x614,x612))
% 0.76/0.88 [62]~E(x621,x622)+E(f23(x621),f23(x622))
% 0.76/0.88 [63]~E(x631,x632)+E(f29(x631,x633),f29(x632,x633))
% 0.76/0.88 [64]~E(x641,x642)+E(f29(x643,x641),f29(x643,x642))
% 0.76/0.88 [65]~E(x651,x652)+E(f31(x651,x653),f31(x652,x653))
% 0.76/0.88 [66]~E(x661,x662)+E(f31(x663,x661),f31(x663,x662))
% 0.76/0.88 [67]~E(x671,x672)+E(f25(x671),f25(x672))
% 0.76/0.88 [68]~E(x681,x682)+E(f17(x681,x683,x684,x685),f17(x682,x683,x684,x685))
% 0.76/0.88 [69]~E(x691,x692)+E(f17(x693,x691,x694,x695),f17(x693,x692,x694,x695))
% 0.76/0.88 [70]~E(x701,x702)+E(f17(x703,x704,x701,x705),f17(x703,x704,x702,x705))
% 0.76/0.88 [71]~E(x711,x712)+E(f17(x713,x714,x715,x711),f17(x713,x714,x715,x712))
% 0.76/0.88 [72]~E(x721,x722)+E(f20(x721),f20(x722))
% 0.76/0.88 [73]~E(x731,x732)+E(f9(x731),f9(x732))
% 0.76/0.88 [74]~E(x741,x742)+E(f21(x741,x743,x744),f21(x742,x743,x744))
% 0.76/0.88 [75]~E(x751,x752)+E(f21(x753,x751,x754),f21(x753,x752,x754))
% 0.76/0.88 [76]~E(x761,x762)+E(f21(x763,x764,x761),f21(x763,x764,x762))
% 0.76/0.88 [77]~E(x771,x772)+E(f18(x771,x773,x774),f18(x772,x773,x774))
% 0.76/0.88 [78]~E(x781,x782)+E(f18(x783,x781,x784),f18(x783,x782,x784))
% 0.76/0.88 [79]~E(x791,x792)+E(f18(x793,x794,x791),f18(x793,x794,x792))
% 0.76/0.88 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 0.76/0.88 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 0.76/0.88 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 0.76/0.88 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 0.76/0.88 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843)
% 0.76/0.88 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851)
% 0.76/0.88 [86]~P5(x861)+P5(x862)+~E(x861,x862)
% 0.76/0.88 [87]~P4(x871)+P4(x872)+~E(x871,x872)
% 0.76/0.88 [88]P9(x882,x883)+~E(x881,x882)+~P9(x881,x883)
% 0.76/0.88 [89]P9(x893,x892)+~E(x891,x892)+~P9(x893,x891)
% 0.76/0.88 [90]~P2(x901)+P2(x902)+~E(x901,x902)
% 0.76/0.88 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 0.76/0.88 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 0.76/0.88
% 0.76/0.88 %-------------------------------------------
% 0.76/0.88 cnf(290,plain,
% 0.76/0.88 (~P3(x2901,f4(a3))),
% 0.76/0.88 inference(scs_inference,[],[93,114,94,2,148,135])).
% 0.76/0.88 cnf(292,plain,
% 0.76/0.88 (P1(f4(a3))),
% 0.76/0.88 inference(scs_inference,[],[93,114,94,2,148,135,127])).
% 0.76/0.88 cnf(294,plain,
% 0.76/0.88 (~E(a41,f4(a3))),
% 0.76/0.88 inference(scs_inference,[],[93,114,94,2,148,135,127,82])).
% 0.76/0.88 cnf(295,plain,
% 0.76/0.88 (P3(f2(a1),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,114,115,94,2,148,135,127,82,81])).
% 0.76/0.88 cnf(306,plain,
% 0.76/0.88 (P9(a3,a44)),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142])).
% 0.76/0.88 cnf(312,plain,
% 0.76/0.88 (P7(f5(a46,a3),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175])).
% 0.76/0.88 cnf(326,plain,
% 0.76/0.88 (E(f5(a47,f25(a53)),a53)),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153])).
% 0.76/0.88 cnf(328,plain,
% 0.76/0.88 (P3(f25(a53),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152])).
% 0.76/0.88 cnf(334,plain,
% 0.76/0.88 (P3(f2(a3),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149])).
% 0.76/0.88 cnf(346,plain,
% 0.76/0.88 (P4(f7(a41))),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132])).
% 0.76/0.88 cnf(412,plain,
% 0.76/0.88 (E(f38(x4121,f2(a1)),f38(x4121,a44))),
% 0.76/0.88 inference(scs_inference,[],[93,99,105,108,114,115,117,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 0.76/0.88 cnf(445,plain,
% 0.76/0.88 (~P3(f7(a41),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,99,103,105,106,108,114,115,117,118,126,94,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158])).
% 0.76/0.88 cnf(479,plain,
% 0.76/0.88 (~P9(f2(f2(a3)),f2(a3))),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220])).
% 0.76/0.88 cnf(481,plain,
% 0.76/0.88 (~P7(f4(f2(a3)),f4(a3))),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220,219])).
% 0.76/0.88 cnf(493,plain,
% 0.76/0.88 (~E(a41,f36(f4(a3),f7(a41)))),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,120,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220,219,182,197,225,247,271,201])).
% 0.76/0.88 cnf(495,plain,
% 0.76/0.88 (~E(f4(a3),f4(f2(a3)))),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,120,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220,219,182,197,225,247,271,201,218])).
% 0.76/0.88 cnf(499,plain,
% 0.76/0.88 (P3(f32(a3,a41),a41)),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,120,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220,219,182,197,225,247,271,201,218,188,229])).
% 0.76/0.88 cnf(501,plain,
% 0.76/0.88 (~E(f4(a3),f35(a41,f7(a41)))),
% 0.76/0.88 inference(scs_inference,[],[93,99,100,103,104,105,106,108,114,115,117,118,126,94,120,123,2,148,135,127,82,81,80,3,133,130,215,214,142,134,195,175,167,166,165,156,155,154,153,152,151,150,149,141,140,139,137,136,132,131,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,250,177,254,252,90,89,88,86,83,147,146,144,158,157,145,143,179,198,189,159,183,174,185,173,172,171,170,169,238,220,219,182,197,225,247,271,201,218,188,229,210])).
% 0.76/0.88 cnf(533,plain,
% 0.76/0.88 (E(f38(x5331,f2(a1)),f38(x5331,a44))),
% 0.76/0.88 inference(rename_variables,[],[412])).
% 0.76/0.88 cnf(536,plain,
% 0.76/0.88 (~P3(x5361,f4(a3))),
% 0.76/0.88 inference(rename_variables,[],[290])).
% 0.76/0.88 cnf(539,plain,
% 0.76/0.88 (~P3(x5391,f4(a3))),
% 0.76/0.88 inference(rename_variables,[],[290])).
% 0.76/0.88 cnf(542,plain,
% 0.76/0.88 (~P3(x5421,f4(a3))),
% 0.76/0.88 inference(rename_variables,[],[290])).
% 0.76/0.88 cnf(575,plain,
% 0.76/0.88 ($false),
% 0.76/0.88 inference(scs_inference,[],[93,102,107,109,116,124,126,100,104,115,99,114,412,533,290,536,539,542,501,294,479,481,495,292,346,312,493,326,295,328,334,445,499,306,199,242,176,212,213,244,261,258,260,135,146,179,198,189,159,205,174,185,172,169,182,197,2,154]),
% 0.76/0.88 ['proof']).
% 0.76/0.88 % SZS output end Proof
% 0.76/0.88 % Total time :0.210000s
%------------------------------------------------------------------------------