TSTP Solution File: NUM603+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM603+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 : n022.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 10:23:37 EDT 2023
% Result : Theorem 0.66s 0.97s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM603+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 09:50:25 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.55 start to proof:theBenchmark
% 0.63/0.94 %-------------------------------------------
% 0.63/0.94 % File :CSE---1.6
% 0.63/0.94 % Problem :theBenchmark
% 0.63/0.94 % Transform :cnf
% 0.63/0.94 % Format :tptp:raw
% 0.63/0.94 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.94
% 0.63/0.94 % Result :Theorem 0.270000s
% 0.63/0.94 % Output :CNFRefutation 0.270000s
% 0.63/0.94 %-------------------------------------------
% 0.63/0.95 %------------------------------------------------------------------------------
% 0.63/0.95 % File : NUM603+1 : TPTP v8.1.2. Released v4.0.0.
% 0.63/0.95 % Domain : Number Theory
% 0.63/0.95 % Problem : Ramsey's Infinite Theorem 15_02_19_02, 00 expansion
% 0.63/0.95 % Version : Especial.
% 0.63/0.95 % English :
% 0.63/0.95
% 0.63/0.95 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.63/0.95 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.63/0.95 % Source : [Pas08]
% 0.63/0.95 % Names : ramsey_15_02_19_02.00 [Pas08]
% 0.63/0.95
% 0.63/0.95 % Status : Theorem
% 0.63/0.95 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.24 v7.1.0, 0.22 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.52 v4.0.1, 0.70 v4.0.0
% 0.63/0.95 % Syntax : Number of formulae : 100 ( 9 unt; 11 def)
% 0.63/0.95 % Number of atoms : 389 ( 69 equ)
% 0.63/0.95 % Maximal formula atoms : 12 ( 3 avg)
% 0.63/0.95 % Number of connectives : 313 ( 24 ~; 4 |; 128 &)
% 0.63/0.95 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 0.63/0.95 % Maximal formula depth : 15 ( 5 avg)
% 0.63/0.95 % Maximal term depth : 5 ( 1 avg)
% 0.63/0.95 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.63/0.95 % Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% 0.63/0.95 % Number of variables : 171 ( 159 !; 12 ?)
% 0.63/0.95 % SPC : FOF_THM_RFO_SEQ
% 0.63/0.95
% 0.63/0.95 % Comments : Problem generated by the SAD system [VLP07]
% 0.63/0.95 %------------------------------------------------------------------------------
% 0.63/0.95 fof(mSetSort,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => $true ) ).
% 0.63/0.95
% 0.63/0.95 fof(mElmSort,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aElement0(W0)
% 0.63/0.95 => $true ) ).
% 0.63/0.95
% 0.63/0.95 fof(mEOfElem,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => ! [W1] :
% 0.63/0.95 ( aElementOf0(W1,W0)
% 0.63/0.95 => aElement0(W1) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mFinRel,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => ( isFinite0(W0)
% 0.63/0.95 => $true ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mDefEmp,definition,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( W0 = slcrc0
% 0.63/0.95 <=> ( aSet0(W0)
% 0.63/0.95 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mEmpFin,axiom,
% 0.63/0.95 isFinite0(slcrc0) ).
% 0.63/0.95
% 0.63/0.95 fof(mCntRel,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => ( isCountable0(W0)
% 0.63/0.95 => $true ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mCountNFin,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & isCountable0(W0) )
% 0.63/0.95 => ~ isFinite0(W0) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mCountNFin_01,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & isCountable0(W0) )
% 0.63/0.95 => W0 != slcrc0 ) ).
% 0.63/0.95
% 0.63/0.95 fof(mDefSub,definition,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => ! [W1] :
% 0.63/0.95 ( aSubsetOf0(W1,W0)
% 0.63/0.95 <=> ( aSet0(W1)
% 0.63/0.95 & ! [W2] :
% 0.63/0.95 ( aElementOf0(W2,W1)
% 0.63/0.95 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mSubFSet,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & isFinite0(W0) )
% 0.63/0.95 => ! [W1] :
% 0.63/0.95 ( aSubsetOf0(W1,W0)
% 0.63/0.95 => isFinite0(W1) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mSubRefl,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => aSubsetOf0(W0,W0) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mSubASymm,axiom,
% 0.63/0.95 ! [W0,W1] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & aSet0(W1) )
% 0.63/0.95 => ( ( aSubsetOf0(W0,W1)
% 0.63/0.95 & aSubsetOf0(W1,W0) )
% 0.63/0.95 => W0 = W1 ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mSubTrans,axiom,
% 0.63/0.95 ! [W0,W1,W2] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & aSet0(W1)
% 0.63/0.95 & aSet0(W2) )
% 0.63/0.95 => ( ( aSubsetOf0(W0,W1)
% 0.63/0.95 & aSubsetOf0(W1,W2) )
% 0.63/0.95 => aSubsetOf0(W0,W2) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mDefCons,definition,
% 0.63/0.95 ! [W0,W1] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & aElement0(W1) )
% 0.63/0.95 => ! [W2] :
% 0.63/0.95 ( W2 = sdtpldt0(W0,W1)
% 0.63/0.95 <=> ( aSet0(W2)
% 0.63/0.95 & ! [W3] :
% 0.63/0.95 ( aElementOf0(W3,W2)
% 0.63/0.95 <=> ( aElement0(W3)
% 0.63/0.95 & ( aElementOf0(W3,W0)
% 0.63/0.95 | W3 = W1 ) ) ) ) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mDefDiff,definition,
% 0.63/0.95 ! [W0,W1] :
% 0.63/0.95 ( ( aSet0(W0)
% 0.63/0.95 & aElement0(W1) )
% 0.63/0.95 => ! [W2] :
% 0.63/0.95 ( W2 = sdtmndt0(W0,W1)
% 0.63/0.95 <=> ( aSet0(W2)
% 0.63/0.95 & ! [W3] :
% 0.63/0.95 ( aElementOf0(W3,W2)
% 0.63/0.95 <=> ( aElement0(W3)
% 0.63/0.95 & aElementOf0(W3,W0)
% 0.63/0.95 & W3 != W1 ) ) ) ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mConsDiff,axiom,
% 0.63/0.95 ! [W0] :
% 0.63/0.95 ( aSet0(W0)
% 0.63/0.95 => ! [W1] :
% 0.63/0.95 ( aElementOf0(W1,W0)
% 0.63/0.95 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.63/0.95
% 0.63/0.95 fof(mDiffCons,axiom,
% 0.63/0.95 ! [W0,W1] :
% 0.63/0.95 ( ( aElement0(W0)
% 0.63/0.96 & aSet0(W1) )
% 0.63/0.96 => ( ~ aElementOf0(W0,W1)
% 0.63/0.96 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCConsSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElement0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( aSet0(W1)
% 0.63/0.96 & isCountable0(W1) )
% 0.63/0.96 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCDiffSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElement0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( aSet0(W1)
% 0.63/0.96 & isCountable0(W1) )
% 0.63/0.96 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mFConsSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElement0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( aSet0(W1)
% 0.63/0.96 & isFinite0(W1) )
% 0.63/0.96 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mFDiffSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElement0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( aSet0(W1)
% 0.63/0.96 & isFinite0(W1) )
% 0.63/0.96 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mNATSet,axiom,
% 0.63/0.96 ( aSet0(szNzAzT0)
% 0.63/0.96 & isCountable0(szNzAzT0) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mZeroNum,axiom,
% 0.63/0.96 aElementOf0(sz00,szNzAzT0) ).
% 0.63/0.96
% 0.63/0.96 fof(mSuccNum,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.63/0.96 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSuccEquSucc,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.63/0.96 => W0 = W1 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mNatExtra,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => ( W0 = sz00
% 0.63/0.96 | ? [W1] :
% 0.63/0.96 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.96 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mNatNSucc,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => W0 != szszuzczcdt0(W0) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessRel,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( sdtlseqdt0(W0,W1)
% 0.63/0.96 => $true ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mZeroLess,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => sdtlseqdt0(sz00,W0) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mNoScLessZr,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSuccLess,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( sdtlseqdt0(W0,W1)
% 0.63/0.96 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessSucc,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessRefl,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => sdtlseqdt0(W0,W0) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessASymm,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( ( sdtlseqdt0(W0,W1)
% 0.63/0.96 & sdtlseqdt0(W1,W0) )
% 0.63/0.96 => W0 = W1 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessTrans,axiom,
% 0.63/0.96 ! [W0,W1,W2] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0)
% 0.63/0.96 & aElementOf0(W2,szNzAzT0) )
% 0.63/0.96 => ( ( sdtlseqdt0(W0,W1)
% 0.63/0.96 & sdtlseqdt0(W1,W2) )
% 0.63/0.96 => sdtlseqdt0(W0,W2) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mLessTotal,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( sdtlseqdt0(W0,W1)
% 0.63/0.96 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mIHSort,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( iLess0(W0,W1)
% 0.63/0.96 => $true ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mIH,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardS,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aSet0(W0)
% 0.63/0.96 => aElement0(sbrdtbr0(W0)) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardNum,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aSet0(W0)
% 0.63/0.96 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.63/0.96 <=> isFinite0(W0) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardEmpty,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aSet0(W0)
% 0.63/0.96 => ( sbrdtbr0(W0) = sz00
% 0.63/0.96 <=> W0 = slcrc0 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardCons,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & isFinite0(W0) )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( aElement0(W1)
% 0.63/0.96 => ( ~ aElementOf0(W1,W0)
% 0.63/0.96 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardDiff,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aSet0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( isFinite0(W0)
% 0.63/0.96 & aElementOf0(W1,W0) )
% 0.63/0.96 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardSub,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aSet0(W0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( isFinite0(W0)
% 0.63/0.96 & aSubsetOf0(W1,W0) )
% 0.63/0.96 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardSubEx,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( ( isFinite0(W0)
% 0.63/0.96 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.63/0.96 => ? [W2] :
% 0.63/0.96 ( aSubsetOf0(W2,W0)
% 0.63/0.96 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mDefMin,definition,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.96 & W0 != slcrc0 )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( W1 = szmzizndt0(W0)
% 0.63/0.96 <=> ( aElementOf0(W1,W0)
% 0.63/0.96 & ! [W2] :
% 0.63/0.96 ( aElementOf0(W2,W0)
% 0.63/0.96 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mDefMax,definition,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.96 & isFinite0(W0)
% 0.63/0.96 & W0 != slcrc0 )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( W1 = szmzazxdt0(W0)
% 0.63/0.96 <=> ( aElementOf0(W1,W0)
% 0.63/0.96 & ! [W2] :
% 0.63/0.96 ( aElementOf0(W2,W0)
% 0.63/0.96 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mMinMin,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.96 & aSubsetOf0(W1,szNzAzT0)
% 0.63/0.96 & W0 != slcrc0
% 0.63/0.96 & W1 != slcrc0 )
% 0.63/0.96 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.63/0.96 & aElementOf0(szmzizndt0(W1),W0) )
% 0.63/0.96 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mDefSeg,definition,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( W1 = slbdtrb0(W0)
% 0.63/0.96 <=> ( aSet0(W1)
% 0.63/0.96 & ! [W2] :
% 0.63/0.96 ( aElementOf0(W2,W1)
% 0.63/0.96 <=> ( aElementOf0(W2,szNzAzT0)
% 0.63/0.96 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSegFin,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => isFinite0(slbdtrb0(W0)) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSegZero,axiom,
% 0.63/0.96 slbdtrb0(sz00) = slcrc0 ).
% 0.63/0.96
% 0.63/0.96 fof(mSegSucc,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.63/0.96 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.63/0.96 | W0 = W1 ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSegLess,axiom,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ( sdtlseqdt0(W0,W1)
% 0.63/0.96 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mFinSubSeg,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.96 & isFinite0(W0) )
% 0.63/0.96 => ? [W1] :
% 0.63/0.96 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.96 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mCardSeg,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.63/0.96
% 0.63/0.96 fof(mDefSel,definition,
% 0.63/0.96 ! [W0,W1] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.96 => ! [W2] :
% 0.63/0.96 ( W2 = slbdtsldtrb0(W0,W1)
% 0.63/0.96 <=> ( aSet0(W2)
% 0.63/0.96 & ! [W3] :
% 0.63/0.96 ( aElementOf0(W3,W2)
% 0.63/0.96 <=> ( aSubsetOf0(W3,W0)
% 0.63/0.96 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSelFSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & isFinite0(W0) )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.96 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSelNSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & ~ isFinite0(W0) )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.96 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSelCSet,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( ( aSet0(W0)
% 0.63/0.96 & isCountable0(W0) )
% 0.63/0.96 => ! [W1] :
% 0.63/0.96 ( ( aElementOf0(W1,szNzAzT0)
% 0.63/0.96 & W1 != sz00 )
% 0.63/0.96 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.63/0.96
% 0.63/0.96 fof(mSelSub,axiom,
% 0.63/0.96 ! [W0] :
% 0.63/0.96 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.96 => ! [W1,W2] :
% 0.63/0.96 ( ( aSet0(W1)
% 0.63/0.97 & aSet0(W2)
% 0.63/0.97 & W0 != sz00 )
% 0.63/0.97 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.66/0.97 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.66/0.97 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mSelExtra,axiom,
% 0.66/0.97 ! [W0,W1] :
% 0.66/0.97 ( ( aSet0(W0)
% 0.66/0.97 & aElementOf0(W1,szNzAzT0) )
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.66/0.97 & isFinite0(W2) )
% 0.66/0.97 => ? [W3] :
% 0.66/0.97 ( aSubsetOf0(W3,W0)
% 0.66/0.97 & isFinite0(W3)
% 0.66/0.97 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mFunSort,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => $true ) ).
% 0.66/0.97
% 0.66/0.97 fof(mDomSet,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => aSet0(szDzozmdt0(W0)) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mImgElm,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.66/0.97 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mDefPtt,definition,
% 0.66/0.97 ! [W0,W1] :
% 0.66/0.97 ( ( aFunction0(W0)
% 0.66/0.97 & aElement0(W1) )
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( W2 = sdtlbdtrb0(W0,W1)
% 0.66/0.97 <=> ( aSet0(W2)
% 0.66/0.97 & ! [W3] :
% 0.66/0.97 ( aElementOf0(W3,W2)
% 0.66/0.97 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.66/0.97 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mPttSet,axiom,
% 0.66/0.97 ! [W0,W1] :
% 0.66/0.97 ( ( aFunction0(W0)
% 0.66/0.97 & aElement0(W1) )
% 0.66/0.97 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mDefSImg,definition,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( W2 = sdtlcdtrc0(W0,W1)
% 0.66/0.97 <=> ( aSet0(W2)
% 0.66/0.97 & ! [W3] :
% 0.66/0.97 ( aElementOf0(W3,W2)
% 0.66/0.97 <=> ? [W4] :
% 0.66/0.97 ( aElementOf0(W4,W1)
% 0.66/0.97 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mImgRng,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.66/0.97 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mDefRst,definition,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( W2 = sdtexdt0(W0,W1)
% 0.66/0.97 <=> ( aFunction0(W2)
% 0.66/0.97 & szDzozmdt0(W2) = W1
% 0.66/0.97 & ! [W3] :
% 0.66/0.97 ( aElementOf0(W3,W1)
% 0.66/0.97 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mImgCount,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.66/0.97 & isCountable0(W1) )
% 0.66/0.97 => ( ! [W2,W3] :
% 0.66/0.97 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.66/0.97 & aElementOf0(W3,szDzozmdt0(W0))
% 0.66/0.97 & W2 != W3 )
% 0.66/0.97 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.66/0.97 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(mDirichlet,axiom,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aFunction0(W0)
% 0.66/0.97 => ( ( isCountable0(szDzozmdt0(W0))
% 0.66/0.97 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.66/0.97 => ( aElement0(szDzizrdt0(W0))
% 0.66/0.97 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3291,hypothesis,
% 0.66/0.97 ( aSet0(xT)
% 0.66/0.97 & isFinite0(xT) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3418,hypothesis,
% 0.66/0.97 aElementOf0(xK,szNzAzT0) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3435,hypothesis,
% 0.66/0.97 ( aSubsetOf0(xS,szNzAzT0)
% 0.66/0.97 & isCountable0(xS) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3453,hypothesis,
% 0.66/0.97 ( aFunction0(xc)
% 0.66/0.97 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.66/0.97 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3398,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.66/0.97 & isCountable0(W1) )
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( ( aFunction0(W2)
% 0.66/0.97 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.66/0.97 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.66/0.97 => ( iLess0(W0,xK)
% 0.66/0.97 => ? [W3] :
% 0.66/0.97 ( aElementOf0(W3,xT)
% 0.66/0.97 & ? [W4] :
% 0.66/0.97 ( aSubsetOf0(W4,W1)
% 0.66/0.97 & isCountable0(W4)
% 0.66/0.97 & ! [W5] :
% 0.66/0.97 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.66/0.97 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3462,hypothesis,
% 0.66/0.97 xK != sz00 ).
% 0.66/0.97
% 0.66/0.97 fof(m__3520,hypothesis,
% 0.66/0.97 xK != sz00 ).
% 0.66/0.97
% 0.66/0.97 fof(m__3533,hypothesis,
% 0.66/0.97 ( aElementOf0(xk,szNzAzT0)
% 0.66/0.97 & szszuzczcdt0(xk) = xK ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3623,hypothesis,
% 0.66/0.97 ( aFunction0(xN)
% 0.66/0.97 & szDzozmdt0(xN) = szNzAzT0
% 0.66/0.97 & sdtlpdtrp0(xN,sz00) = xS
% 0.66/0.97 & ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.66/0.97 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 0.66/0.97 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.66/0.97 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3671,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.66/0.97 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3754,hypothesis,
% 0.66/0.97 ! [W0,W1] :
% 0.66/0.97 ( ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 & aElementOf0(W1,szNzAzT0) )
% 0.66/0.97 => ( sdtlseqdt0(W1,W0)
% 0.66/0.97 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3821,hypothesis,
% 0.66/0.97 ! [W0,W1] :
% 0.66/0.97 ( ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 & aElementOf0(W1,szNzAzT0)
% 0.66/0.97 & W0 != W1 )
% 0.66/0.97 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__3965,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( ( aSet0(W1)
% 0.66/0.97 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.66/0.97 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4151,hypothesis,
% 0.66/0.97 ( aFunction0(xC)
% 0.66/0.97 & szDzozmdt0(xC) = szNzAzT0
% 0.66/0.97 & ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 0.66/0.97 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 0.66/0.97 & ! [W1] :
% 0.66/0.97 ( ( aSet0(W1)
% 0.66/0.97 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.66/0.97 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4182,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4331,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.66/0.97 & isCountable0(W1) )
% 0.66/0.97 => ! [W2] :
% 0.66/0.97 ( ( aSet0(W2)
% 0.66/0.97 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 0.66/0.97 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4411,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ? [W1] :
% 0.66/0.97 ( aElementOf0(W1,xT)
% 0.66/0.97 & ? [W2] :
% 0.66/0.97 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.66/0.97 & isCountable0(W2)
% 0.66/0.97 & ! [W3] :
% 0.66/0.97 ( ( aSet0(W3)
% 0.66/0.97 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 0.66/0.97 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4618,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ? [W1] :
% 0.66/0.97 ( aElementOf0(W1,xT)
% 0.66/0.97 & ! [W2] :
% 0.66/0.97 ( ( aSet0(W2)
% 0.66/0.97 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.66/0.97 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4660,hypothesis,
% 0.66/0.97 ( aFunction0(xe)
% 0.66/0.97 & szDzozmdt0(xe) = szNzAzT0
% 0.66/0.97 & ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4730,hypothesis,
% 0.66/0.97 ( aFunction0(xd)
% 0.66/0.97 & szDzozmdt0(xd) = szNzAzT0
% 0.66/0.97 & ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,szNzAzT0)
% 0.66/0.97 => ! [W1] :
% 0.66/0.97 ( ( aSet0(W1)
% 0.66/0.97 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.66/0.97 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4758,hypothesis,
% 0.66/0.97 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4854,hypothesis,
% 0.66/0.97 ( aElementOf0(szDzizrdt0(xd),xT)
% 0.66/0.97 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4891,hypothesis,
% 0.66/0.97 ( aSet0(xO)
% 0.66/0.97 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4908,hypothesis,
% 0.66/0.97 ( aSet0(xO)
% 0.66/0.97 & isCountable0(xO) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__4982,hypothesis,
% 0.66/0.97 ! [W0] :
% 0.66/0.97 ( aElementOf0(W0,xO)
% 0.66/0.97 => ? [W1] :
% 0.66/0.97 ( aElementOf0(W1,szNzAzT0)
% 0.66/0.97 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 0.66/0.97 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__5009,hypothesis,
% 0.66/0.97 aElementOf0(xx,xO) ).
% 0.66/0.97
% 0.66/0.97 fof(m__5034,hypothesis,
% 0.66/0.97 ( aElementOf0(xi,szNzAzT0)
% 0.66/0.97 & sdtlpdtrp0(xe,xi) = xx ) ).
% 0.66/0.97
% 0.66/0.97 fof(m__,conjecture,
% 0.66/0.97 aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ).
% 0.66/0.97
% 0.66/0.97 %------------------------------------------------------------------------------
% 0.66/0.97 %-------------------------------------------
% 0.66/0.97 % Proof found
% 0.66/0.97 % SZS status Theorem for theBenchmark
% 0.66/0.97 % SZS output start Proof
% 0.66/0.98 %ClaNum:288(EqnAxiom:92)
% 0.66/0.98 %VarNum:1229(SingletonVarNum:358)
% 0.66/0.98 %MaxLitNum:9
% 0.66/0.98 %MaxfuncDepth:4
% 0.66/0.98 %SharedTerms:66
% 0.66/0.98 %goalClause: 129
% 0.66/0.98 %singleGoalClaCount:1
% 0.66/0.98 [99]P1(a41)
% 0.66/0.98 [100]P1(a49)
% 0.66/0.98 [102]P1(a50)
% 0.66/0.98 [103]P5(a37)
% 0.66/0.98 [104]P5(a49)
% 0.66/0.98 [105]P6(a41)
% 0.66/0.98 [106]P6(a51)
% 0.66/0.98 [107]P6(a50)
% 0.66/0.98 [108]P2(a52)
% 0.66/0.98 [109]P2(a46)
% 0.66/0.98 [110]P2(a45)
% 0.66/0.98 [111]P2(a47)
% 0.66/0.98 [112]P2(a48)
% 0.66/0.98 [115]P3(a3,a41)
% 0.66/0.98 [116]P3(a44,a41)
% 0.66/0.98 [117]P3(a1,a41)
% 0.66/0.98 [118]P3(a54,a50)
% 0.66/0.98 [119]P3(a53,a41)
% 0.66/0.98 [120]P7(a51,a41)
% 0.66/0.98 [128]~E(a3,a44)
% 0.66/0.98 [93]E(f2(a1),a44)
% 0.66/0.98 [94]E(f4(a3),a37)
% 0.66/0.98 [95]E(f39(a46),a41)
% 0.66/0.98 [96]E(f39(a45),a41)
% 0.66/0.98 [97]E(f39(a47),a41)
% 0.66/0.98 [98]E(f39(a48),a41)
% 0.66/0.98 [113]E(f5(a46,a3),a51)
% 0.66/0.98 [114]E(f5(a47,a53),a54)
% 0.66/0.98 [121]E(f38(a51,a44),f39(a52))
% 0.66/0.98 [122]P3(f40(a48),a49)
% 0.66/0.98 [129]~P7(f5(a46,a53),a51)
% 0.66/0.98 [123]P6(f6(a48,f40(a48)))
% 0.66/0.98 [125]P7(f34(a52,f39(a52)),a49)
% 0.66/0.98 [126]P7(f34(a48,f39(a48)),a49)
% 0.66/0.98 [124]E(f34(a47,f6(a48,f40(a48))),a50)
% 0.66/0.98 [130]P1(x1301)+~E(x1301,a37)
% 0.66/0.98 [137]~P1(x1371)+P7(x1371,x1371)
% 0.66/0.98 [145]~P3(x1451,a41)+P9(a3,x1451)
% 0.66/0.98 [151]P9(x1511,x1511)+~P3(x1511,a41)
% 0.66/0.98 [134]~P2(x1341)+P1(f39(x1341))
% 0.66/0.98 [135]~P1(x1351)+P4(f7(x1351))
% 0.66/0.98 [139]~P3(x1391,a41)+~E(f2(x1391),a3)
% 0.66/0.98 [140]~P3(x1401,a41)+~E(f2(x1401),x1401)
% 0.66/0.98 [142]~P3(x1421,a41)+P5(f4(x1421))
% 0.66/0.98 [143]~P3(x1431,a41)+P6(f19(x1431))
% 0.66/0.98 [152]~P3(x1521,a41)+P3(f2(x1521),a41)
% 0.66/0.98 [153]~P3(x1531,a41)+P3(f20(x1531),a49)
% 0.66/0.98 [154]~P3(x1541,a41)+P3(f24(x1541),a49)
% 0.66/0.98 [155]~P3(x1551,a50)+P3(f25(x1551),a41)
% 0.66/0.98 [157]~P3(x1571,a41)+P9(x1571,f2(x1571))
% 0.66/0.98 [158]~P3(x1581,a41)+P8(x1581,f2(x1581))
% 0.66/0.98 [167]~P3(x1671,a41)+P6(f5(a46,x1671))
% 0.66/0.98 [168]~P3(x1681,a41)+P2(f5(a45,x1681))
% 0.66/0.98 [169]~P3(x1691,a41)+~P9(f2(x1691),a3)
% 0.66/0.98 [177]~P3(x1771,a41)+P7(f5(a46,x1771),a41)
% 0.66/0.98 [144]~P3(x1441,a41)+E(f7(f4(x1441)),x1441)
% 0.66/0.98 [156]~P3(x1561,a50)+E(f5(a47,f25(x1561)),x1561)
% 0.66/0.98 [179]~P3(x1791,a41)+E(f42(f5(a46,x1791)),f5(a47,x1791))
% 0.66/0.98 [197]~P3(x1971,a50)+P3(f25(x1971),f6(a48,f40(a48)))
% 0.66/0.98 [252]~P3(x2521,a41)+P7(f34(f5(a45,x2521),f39(f5(a45,x2521))),a49)
% 0.66/0.98 [254]~P3(x2541,a41)+P7(f19(x2541),f36(f5(a46,x2541),f42(f5(a46,x2541))))
% 0.66/0.98 [256]~P3(x2561,a41)+E(f38(f36(f5(a46,x2561),f42(f5(a46,x2561))),a1),f39(f5(a45,x2561)))
% 0.66/0.98 [138]~P3(x1382,x1381)+~E(x1381,a37)
% 0.66/0.98 [133]~P1(x1331)+~P6(x1331)+~E(x1331,a37)
% 0.66/0.98 [136]~P5(x1361)+~P6(x1361)+~P1(x1361)
% 0.66/0.98 [131]~P1(x1311)+~E(x1311,a37)+E(f7(x1311),a3)
% 0.66/0.98 [132]~P1(x1321)+E(x1321,a37)+~E(f7(x1321),a3)
% 0.66/0.98 [141]~P1(x1411)+P3(f8(x1411),x1411)+E(x1411,a37)
% 0.66/0.98 [148]~P1(x1481)+~P5(x1481)+P3(f7(x1481),a41)
% 0.66/0.98 [159]~P3(x1591,a41)+E(x1591,a3)+P3(f23(x1591),a41)
% 0.66/0.98 [160]~P1(x1601)+P5(x1601)+~P3(f7(x1601),a41)
% 0.66/0.98 [166]~P5(x1661)+~P7(x1661,a41)+P3(f9(x1661),a41)
% 0.66/0.98 [146]~P3(x1461,a41)+E(x1461,a3)+E(f2(f23(x1461)),x1461)
% 0.66/0.98 [180]~P5(x1801)+~P7(x1801,a41)+P7(x1801,f4(f9(x1801)))
% 0.66/0.98 [149]~P7(x1491,x1492)+P1(x1491)+~P1(x1492)
% 0.66/0.98 [150]~P3(x1501,x1502)+P4(x1501)+~P1(x1502)
% 0.66/0.98 [147]P1(x1471)+~P3(x1472,a41)+~E(x1471,f4(x1472))
% 0.66/0.98 [181]~P4(x1812)+~P2(x1811)+P7(f6(x1811,x1812),f39(x1811))
% 0.66/0.98 [198]~P2(x1981)+~P3(x1982,f39(x1981))+P4(f5(x1981,x1982))
% 0.66/0.98 [200]~P1(x2001)+~P3(x2002,x2001)+E(f35(f36(x2001,x2002),x2002),x2001)
% 0.66/0.98 [236]~P2(x2361)+~P3(x2362,f39(x2361))+P3(f5(x2361,x2362),f34(x2361,f39(x2361)))
% 0.66/0.98 [226]~P2(x2261)+~P6(f39(x2261))+P4(f40(x2261))+~P5(f34(x2261,f39(x2261)))
% 0.66/0.98 [245]~P2(x2451)+~P6(f39(x2451))+~P5(f34(x2451,f39(x2451)))+P6(f6(x2451,f40(x2451)))
% 0.66/0.98 [249]~P3(x2491,a41)+~P7(f5(a46,x2491),a41)+~P6(f5(a46,x2491))+P6(f5(a46,f2(x2491)))
% 0.66/0.98 [273]~P3(x2731,a41)+~P7(f5(a46,x2731),a41)+~P6(f5(a46,x2731))+P7(f5(a46,f2(x2731)),f36(f5(a46,x2731),f42(f5(a46,x2731))))
% 0.66/0.98 [161]~P5(x1612)+~P7(x1611,x1612)+P5(x1611)+~P1(x1612)
% 0.66/0.98 [165]P3(x1652,x1651)+~E(x1652,f42(x1651))+~P7(x1651,a41)+E(x1651,a37)
% 0.66/0.98 [171]~P1(x1711)+~P4(x1712)+~P5(x1711)+P5(f35(x1711,x1712))
% 0.66/0.98 [172]~P1(x1721)+~P4(x1722)+~P5(x1721)+P5(f36(x1721,x1722))
% 0.66/0.98 [173]~P1(x1731)+~P4(x1732)+~P6(x1731)+P6(f35(x1731,x1732))
% 0.66/0.98 [174]~P1(x1741)+~P4(x1742)+~P6(x1741)+P6(f36(x1741,x1742))
% 0.66/0.98 [175]~P1(x1751)+P5(x1751)+~P3(x1752,a41)+~E(f38(x1751,x1752),a37)
% 0.66/0.98 [178]E(x1781,x1782)+~E(f2(x1781),f2(x1782))+~P3(x1782,a41)+~P3(x1781,a41)
% 0.66/0.98 [184]~P1(x1842)+~P5(x1842)+~P7(x1841,x1842)+P9(f7(x1841),f7(x1842))
% 0.66/0.98 [187]~P1(x1871)+~P5(x1871)+~P3(x1872,a41)+P5(f38(x1871,x1872))
% 0.66/0.98 [196]~P1(x1961)+~P1(x1962)+P7(x1961,x1962)+P3(f26(x1962,x1961),x1961)
% 0.66/0.98 [204]P9(x2041,x2042)+P9(f2(x2042),x2041)+~P3(x2042,a41)+~P3(x2041,a41)
% 0.66/0.98 [216]~P9(x2161,x2162)+~P3(x2162,a41)+~P3(x2161,a41)+P7(f4(x2161),f4(x2162))
% 0.66/0.98 [217]~P9(x2171,x2172)+~P3(x2172,a41)+~P3(x2171,a41)+P9(f2(x2171),f2(x2172))
% 0.66/0.98 [219]~P1(x2191)+~P1(x2192)+P7(x2191,x2192)+~P3(f26(x2192,x2191),x2192)
% 0.66/0.98 [221]P9(x2211,x2212)+~P3(x2212,a41)+~P3(x2211,a41)+~P7(f4(x2211),f4(x2212))
% 0.66/0.98 [222]P9(x2221,x2222)+~P3(x2222,a41)+~P3(x2221,a41)+~P9(f2(x2221),f2(x2222))
% 0.66/0.98 [240]~P9(x2402,x2401)+~P3(x2402,a41)+~P3(x2401,a41)+P7(f5(a46,x2401),f5(a46,x2402))
% 0.66/0.98 [199]P3(x1992,x1991)+~P1(x1991)+~P4(x1992)+E(f36(f35(x1991,x1992),x1992),x1991)
% 0.66/0.98 [207]~E(x2071,x2072)+~P3(x2072,a41)+~P3(x2071,a41)+P3(x2071,f4(f2(x2072)))
% 0.66/0.98 [228]~P3(x2282,a41)+~P3(x2281,a41)+~P3(x2281,f4(x2282))+P3(x2281,f4(f2(x2282)))
% 0.66/0.98 [244]E(x2441,x2442)+~P3(x2442,a41)+~P3(x2441,a41)+~E(f42(f5(a46,x2441)),f42(f5(a46,x2442)))
% 0.66/0.98 [247]~P1(x2472)+~P3(x2471,a41)+E(f5(f5(a45,x2471),x2472),f20(x2471))+~P3(x2472,f38(f19(x2471),a1))
% 0.66/0.98 [227]~P1(x2271)+~P5(x2271)+~P3(x2272,x2271)+E(f2(f7(f36(x2271,x2272))),f7(x2271))
% 0.66/0.98 [257]~P1(x2572)+~P3(x2571,a41)+E(f5(f5(a45,x2571),x2572),f24(x2571))+~P3(x2572,f38(f5(a46,f2(x2571)),a1))
% 0.66/0.98 [259]~P1(x2592)+~P3(x2591,a41)+E(f5(f5(a45,x2591),x2592),f5(a48,x2591))+~P3(x2592,f38(f5(a46,f2(x2591)),a1))
% 0.66/0.98 [287]~P1(x2871)+~P3(x2872,a41)+P3(f35(x2871,f42(f5(a46,x2872))),f38(a51,a44))+~P3(x2871,f38(f36(f5(a46,x2872),f42(f5(a46,x2872))),a1))
% 0.66/0.98 [288]~P1(x2881)+~P3(x2882,a41)+~P3(x2881,f38(f36(f5(a46,x2882),f42(f5(a46,x2882))),a1))+E(f5(a52,f35(x2881,f42(f5(a46,x2882)))),f5(f5(a45,x2882),x2881))
% 0.66/0.98 [191]~P1(x1912)+~P7(x1913,x1912)+P3(x1911,x1912)+~P3(x1911,x1913)
% 0.66/0.98 [162]~P1(x1622)+~P4(x1623)+P1(x1621)+~E(x1621,f35(x1622,x1623))
% 0.66/0.98 [163]~P1(x1632)+~P4(x1633)+P1(x1631)+~E(x1631,f36(x1632,x1633))
% 0.66/0.98 [164]~P4(x1643)+~P2(x1642)+P1(x1641)+~E(x1641,f6(x1642,x1643))
% 0.66/0.98 [176]~P1(x1762)+P1(x1761)+~P3(x1763,a41)+~E(x1761,f38(x1762,x1763))
% 0.66/0.98 [185]~P3(x1851,x1852)+~P3(x1853,a41)+P3(x1851,a41)+~E(x1852,f4(x1853))
% 0.66/0.98 [193]~P2(x1932)+P1(x1931)+~P7(x1933,f39(x1932))+~E(x1931,f34(x1932,x1933))
% 0.66/0.98 [194]~P2(x1942)+P2(x1941)+~P7(x1943,f39(x1942))+~E(x1941,f33(x1942,x1943))
% 0.66/0.98 [195]~P2(x1953)+~P7(x1952,f39(x1953))+E(f39(x1951),x1952)+~E(x1951,f33(x1953,x1952))
% 0.66/0.98 [201]~P3(x2011,x2013)+~P3(x2012,a41)+P9(f2(x2011),x2012)+~E(x2013,f4(x2012))
% 0.66/0.98 [182]~P1(x1822)+~P1(x1821)+~P7(x1822,x1821)+~P7(x1821,x1822)+E(x1821,x1822)
% 0.66/0.98 [214]~P9(x2142,x2141)+~P9(x2141,x2142)+E(x2141,x2142)+~P3(x2142,a41)+~P3(x2141,a41)
% 0.66/0.98 [170]~P5(x1701)+P3(x1702,x1701)+~E(x1702,f43(x1701))+~P7(x1701,a41)+E(x1701,a37)
% 0.66/0.98 [190]~P1(x1902)+~P6(x1902)+~P3(x1901,a41)+E(x1901,a3)+P6(f38(x1902,x1901))
% 0.66/0.98 [218]~P3(x2182,x2181)+P3(f29(x2181,x2182),x2181)+~P7(x2181,a41)+E(x2181,a37)+E(x2182,f42(x2181))
% 0.66/0.98 [229]~P1(x2291)+~P5(x2291)+~P3(x2292,a41)+~P9(x2292,f7(x2291))+P7(f30(x2291,x2292),x2291)
% 0.66/0.98 [231]~P1(x2311)+P3(f32(x2312,x2311),x2311)+~P3(x2312,a41)+E(x2311,f4(x2312))+P3(f32(x2312,x2311),a41)
% 0.66/0.98 [232]~P3(x2322,x2321)+~P7(x2321,a41)+~P9(x2322,f29(x2321,x2322))+E(x2321,a37)+E(x2322,f42(x2321))
% 0.66/0.98 [239]~P6(x2392)+~P2(x2391)+~E(f10(x2391,x2392),f11(x2391,x2392))+~P7(x2392,f39(x2391))+P6(f34(x2391,x2392))
% 0.66/0.98 [241]~P6(x2412)+~P2(x2411)+P3(f11(x2411,x2412),f39(x2411))+~P7(x2412,f39(x2411))+P6(f34(x2411,x2412))
% 0.66/0.98 [242]~P6(x2422)+~P2(x2421)+P3(f10(x2421,x2422),f39(x2421))+~P7(x2422,f39(x2421))+P6(f34(x2421,x2422))
% 0.66/0.98 [206]P3(x2062,x2061)+~P1(x2061)+~P4(x2062)+~P5(x2061)+E(f7(f35(x2061,x2062)),f2(f7(x2061)))
% 0.66/0.98 [225]~P1(x2251)+~P5(x2251)+~P3(x2252,a41)+~P9(x2252,f7(x2251))+E(f7(f30(x2251,x2252)),x2252)
% 0.66/0.98 [234]E(x2341,x2342)+P3(x2341,f4(x2342))+~P3(x2342,a41)+~P3(x2341,a41)+~P3(x2341,f4(f2(x2342)))
% 0.66/0.98 [246]~P1(x2461)+P3(f32(x2462,x2461),x2461)+~P3(x2462,a41)+E(x2461,f4(x2462))+P9(f2(f32(x2462,x2461)),x2462)
% 0.66/0.98 [248]~P6(x2482)+~P2(x2481)+~P7(x2482,f39(x2481))+P6(f34(x2481,x2482))+E(f5(x2481,f10(x2481,x2482)),f5(x2481,f11(x2481,x2482)))
% 0.66/0.98 [192]~P3(x1923,x1921)+P9(x1922,x1923)+~E(x1922,f42(x1921))+~P7(x1921,a41)+E(x1921,a37)
% 0.66/0.98 [220]P3(x2201,x2202)+~P3(x2203,a41)+~P3(x2201,a41)+~P9(f2(x2201),x2203)+~E(x2202,f4(x2203))
% 0.66/0.98 [253]~P1(x2531)+~P5(x2533)+~P3(x2532,a41)+~P7(x2533,f38(x2531,x2532))+P5(f13(x2531,x2532,x2533))
% 0.66/0.98 [255]~P1(x2551)+~P5(x2553)+~P3(x2552,a41)+~P7(x2553,f38(x2551,x2552))+P7(f13(x2551,x2552,x2553),x2551)
% 0.66/0.98 [274]~P1(x2742)+~P5(x2741)+~P3(x2743,a41)+~P7(x2741,f38(x2742,x2743))+P7(x2741,f38(f13(x2742,x2743,x2741),x2743))
% 0.66/0.98 [186]~P1(x1864)+~P4(x1862)+~P3(x1861,x1863)+~E(x1861,x1862)+~E(x1863,f36(x1864,x1862))
% 0.66/0.98 [188]~P1(x1883)+~P4(x1884)+~P3(x1881,x1882)+P4(x1881)+~E(x1882,f35(x1883,x1884))
% 0.66/0.98 [189]~P1(x1893)+~P4(x1894)+~P3(x1891,x1892)+P4(x1891)+~E(x1892,f36(x1893,x1894))
% 0.66/0.98 [203]~P1(x2032)+~P4(x2034)+~P3(x2031,x2033)+P3(x2031,x2032)+~E(x2033,f36(x2032,x2034))
% 0.66/0.98 [205]~P4(x2053)+~P2(x2051)+~P3(x2052,x2054)+E(f5(x2051,x2052),x2053)+~E(x2054,f6(x2051,x2053))
% 0.66/0.98 [209]~P1(x2094)+~P3(x2091,x2093)+~P3(x2092,a41)+E(f7(x2091),x2092)+~E(x2093,f38(x2094,x2092))
% 0.66/0.98 [211]~P4(x2114)+~P2(x2112)+~P3(x2111,x2113)+P3(x2111,f39(x2112))+~E(x2113,f6(x2112,x2114))
% 0.66/0.98 [215]~P1(x2152)+~P3(x2151,x2153)+P7(x2151,x2152)+~P3(x2154,a41)+~E(x2153,f38(x2152,x2154))
% 0.66/0.98 [233]~P2(x2333)+~P3(x2332,x2334)+~P7(x2334,f39(x2333))+E(f5(x2331,x2332),f5(x2333,x2332))+~E(x2331,f33(x2333,x2334))
% 0.66/0.98 [280]~P2(x2801)+~P3(x2804,x2803)+~E(x2803,f34(x2801,x2802))+~P7(x2802,f39(x2801))+P3(f17(x2801,x2802,x2803,x2804),x2802)
% 0.66/0.98 [281]~P2(x2811)+~P3(x2814,x2813)+~E(x2813,f34(x2811,x2812))+~P7(x2812,f39(x2811))+E(f5(x2811,f17(x2811,x2812,x2813,x2814)),x2814)
% 0.66/0.98 [224]~P5(x2241)+~P3(x2242,x2241)+P3(f31(x2241,x2242),x2241)+~P7(x2241,a41)+E(x2241,a37)+E(x2242,f43(x2241))
% 0.66/0.98 [237]~P5(x2371)+~P3(x2372,x2371)+~P7(x2371,a41)+~P9(f31(x2371,x2372),x2372)+E(x2371,a37)+E(x2372,f43(x2371))
% 0.66/0.98 [262]~P1(x2621)+~P3(x2622,a41)+~P3(f32(x2622,x2621),x2621)+E(x2621,f4(x2622))+~P3(f32(x2622,x2621),a41)+~P9(f2(f32(x2622,x2621)),x2622)
% 0.66/0.98 [210]~P1(x2102)+~P1(x2101)+~P7(x2103,x2102)+~P7(x2101,x2103)+P7(x2101,x2102)+~P1(x2103)
% 0.66/0.98 [238]~P9(x2381,x2383)+P9(x2381,x2382)+~P9(x2383,x2382)+~P3(x2382,a41)+~P3(x2383,a41)+~P3(x2381,a41)
% 0.66/0.98 [202]~P5(x2021)+~P3(x2022,x2021)+P9(x2022,x2023)+~E(x2023,f43(x2021))+~P7(x2021,a41)+E(x2021,a37)
% 0.66/0.98 [251]~P2(x2511)+~P2(x2512)+P3(f12(x2512,x2513,x2511),x2513)+~E(f39(x2511),x2513)+~P7(x2513,f39(x2512))+E(x2511,f33(x2512,x2513))
% 0.66/0.98 [258]~P1(x2581)+~P1(x2582)+~P4(x2583)+P3(f27(x2582,x2583,x2581),x2581)+~E(f27(x2582,x2583,x2581),x2583)+E(x2581,f36(x2582,x2583))
% 0.66/0.98 [260]~P1(x2601)+~P1(x2602)+~P4(x2603)+P3(f28(x2602,x2603,x2601),x2601)+E(x2601,f35(x2602,x2603))+P4(f28(x2602,x2603,x2601))
% 0.66/0.98 [261]~P1(x2611)+~P1(x2612)+~P4(x2613)+P3(f27(x2612,x2613,x2611),x2611)+E(x2611,f36(x2612,x2613))+P4(f27(x2612,x2613,x2611))
% 0.66/0.98 [263]~P1(x2631)+~P1(x2632)+~P4(x2633)+P3(f27(x2632,x2633,x2631),x2631)+P3(f27(x2632,x2633,x2631),x2632)+E(x2631,f36(x2632,x2633))
% 0.66/0.98 [266]~P1(x2661)+~P4(x2663)+~P2(x2662)+P3(f15(x2662,x2663,x2661),x2661)+P3(f15(x2662,x2663,x2661),f39(x2662))+E(x2661,f6(x2662,x2663))
% 0.66/0.98 [267]~P1(x2671)+~P1(x2672)+P3(f14(x2672,x2673,x2671),x2671)+P7(f14(x2672,x2673,x2671),x2672)+~P3(x2673,a41)+E(x2671,f38(x2672,x2673))
% 0.66/0.98 [270]~P1(x2701)+~P2(x2702)+P3(f16(x2702,x2703,x2701),x2701)+P3(f18(x2702,x2703,x2701),x2703)+~P7(x2703,f39(x2702))+E(x2701,f34(x2702,x2703))
% 0.66/0.98 [264]~P1(x2641)+~P4(x2643)+~P2(x2642)+P3(f15(x2642,x2643,x2641),x2641)+E(x2641,f6(x2642,x2643))+E(f5(x2642,f15(x2642,x2643,x2641)),x2643)
% 0.66/0.98 [265]~P1(x2651)+~P1(x2652)+P3(f14(x2652,x2653,x2651),x2651)+~P3(x2653,a41)+E(x2651,f38(x2652,x2653))+E(f7(f14(x2652,x2653,x2651)),x2653)
% 0.66/0.98 [275]~P1(x2751)+~P2(x2752)+P3(f16(x2752,x2753,x2751),x2751)+~P7(x2753,f39(x2752))+E(x2751,f34(x2752,x2753))+E(f5(x2752,f18(x2752,x2753,x2751)),f16(x2752,x2753,x2751))
% 0.66/0.98 [277]~P2(x2772)+~P2(x2771)+~E(f39(x2771),x2773)+~P7(x2773,f39(x2772))+E(x2771,f33(x2772,x2773))+~E(f5(x2771,f12(x2772,x2773,x2771)),f5(x2772,f12(x2772,x2773,x2771)))
% 0.66/0.98 [286]~P1(x2861)+~P6(x2863)+~P3(x2862,a41)+~P3(x2861,f38(x2863,a1))+~P7(x2863,f36(f5(a46,x2862),f42(f5(a46,x2862))))+P3(x2861,f38(f36(f5(a46,x2862),f42(f5(a46,x2862))),a1))
% 0.66/0.98 [183]~P1(x1834)+~P4(x1833)+~P4(x1831)+P3(x1831,x1832)+~E(x1831,x1833)+~E(x1832,f35(x1834,x1833))
% 0.66/0.98 [208]~P1(x2083)+~P4(x2082)+~P3(x2081,x2084)+E(x2081,x2082)+P3(x2081,x2083)+~E(x2084,f35(x2083,x2082))
% 0.66/0.98 [212]~P1(x2123)+~P4(x2124)+~P4(x2121)+~P3(x2121,x2123)+P3(x2121,x2122)+~E(x2122,f35(x2123,x2124))
% 0.66/0.98 [223]~P1(x2234)+~P7(x2231,x2234)+P3(x2231,x2232)+~P3(x2233,a41)+~E(x2232,f38(x2234,x2233))+~E(f7(x2231),x2233)
% 0.66/0.98 [230]~P4(x2304)+~P2(x2303)+P3(x2301,x2302)+~E(f5(x2303,x2301),x2304)+~P3(x2301,f39(x2303))+~E(x2302,f6(x2303,x2304))
% 0.66/0.98 [243]~P2(x2433)+~P3(x2435,x2434)+P3(x2431,x2432)+~P7(x2434,f39(x2433))+~E(x2432,f34(x2433,x2434))+~E(f5(x2433,x2435),x2431)
% 0.66/0.98 [235]E(f42(x2352),f42(x2351))+~P7(x2351,a41)+~P7(x2352,a41)+~P3(f42(x2351),x2352)+~P3(f42(x2352),x2351)+E(x2351,a37)+E(x2352,a37)
% 0.66/0.98 [250]~P1(x2503)+~P1(x2502)+P7(x2502,x2503)+~P3(x2501,a41)+~P7(f38(x2502,x2501),f38(x2503,x2501))+E(x2501,a3)+E(f38(x2502,x2501),a37)
% 0.66/0.98 [272]~P1(x2721)+~P1(x2722)+~P4(x2723)+E(f28(x2722,x2723,x2721),x2723)+P3(f28(x2722,x2723,x2721),x2721)+P3(f28(x2722,x2723,x2721),x2722)+E(x2721,f35(x2722,x2723))
% 0.66/0.98 [278]~P1(x2781)+~P1(x2782)+~P4(x2783)+~E(f28(x2782,x2783,x2781),x2783)+~P3(f28(x2782,x2783,x2781),x2781)+E(x2781,f35(x2782,x2783))+~P4(f28(x2782,x2783,x2781))
% 0.66/0.98 [279]~P1(x2791)+~P1(x2792)+~P4(x2793)+~P3(f28(x2792,x2793,x2791),x2791)+~P3(f28(x2792,x2793,x2791),x2792)+E(x2791,f35(x2792,x2793))+~P4(f28(x2792,x2793,x2791))
% 0.66/0.98 [282]~P1(x2821)+~P1(x2822)+~P3(x2823,a41)+~P3(f14(x2822,x2823,x2821),x2821)+~P7(f14(x2822,x2823,x2821),x2822)+E(x2821,f38(x2822,x2823))+~E(f7(f14(x2822,x2823,x2821)),x2823)
% 0.66/0.98 [283]~P1(x2831)+~P4(x2833)+~P2(x2832)+~P3(f15(x2832,x2833,x2831),x2831)+~P3(f15(x2832,x2833,x2831),f39(x2832))+E(x2831,f6(x2832,x2833))+~E(f5(x2832,f15(x2832,x2833,x2831)),x2833)
% 0.66/0.98 [213]~P1(x2134)+~P4(x2132)+~P4(x2131)+~P3(x2131,x2134)+E(x2131,x2132)+P3(x2131,x2133)+~E(x2133,f36(x2134,x2132))
% 0.66/0.98 [276]~P1(x2761)+~P2(x2762)+~P3(x2764,x2763)+~P7(x2763,f39(x2762))+~P3(f16(x2762,x2763,x2761),x2761)+~E(f5(x2762,x2764),f16(x2762,x2763,x2761))+E(x2761,f34(x2762,x2763))
% 0.66/0.98 [284]~P1(x2841)+~P1(x2842)+~P4(x2843)+E(f27(x2842,x2843,x2841),x2843)+~P3(f27(x2842,x2843,x2841),x2841)+~P3(f27(x2842,x2843,x2841),x2842)+E(x2841,f36(x2842,x2843))+~P4(f27(x2842,x2843,x2841))
% 0.66/0.98 [268]~P6(x2682)+~P2(x2683)+~E(f39(x2683),f38(x2682,x2681))+~P3(x2681,a41)+~P7(x2682,a41)+~P8(x2681,a44)+P6(f21(x2681,x2682,x2683))+~P7(f34(x2683,f39(x2683)),a49)
% 0.66/0.98 [269]~P6(x2692)+~P2(x2693)+~E(f39(x2693),f38(x2692,x2691))+~P3(x2691,a41)+~P7(x2692,a41)+~P8(x2691,a44)+P3(f22(x2691,x2692,x2693),a49)+~P7(f34(x2693,f39(x2693)),a49)
% 0.66/0.98 [271]~P6(x2712)+~P2(x2713)+~E(f39(x2713),f38(x2712,x2711))+~P3(x2711,a41)+~P7(x2712,a41)+~P8(x2711,a44)+P7(f21(x2711,x2712,x2713),x2712)+~P7(f34(x2713,f39(x2713)),a49)
% 0.66/0.98 [285]~P6(x2854)+~P2(x2851)+~E(f39(x2851),f38(x2854,x2853))+~P3(x2853,a41)+~P7(x2854,a41)+~P8(x2853,a44)+E(f5(x2851,x2852),f22(x2853,x2854,x2851))+~P3(x2852,f38(f21(x2853,x2854,x2851),x2853))+~P7(f34(x2851,f39(x2851)),a49)
% 0.66/0.98 %EqnAxiom
% 0.66/0.98 [1]E(x11,x11)
% 0.66/0.98 [2]E(x22,x21)+~E(x21,x22)
% 0.66/0.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.66/0.98 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.66/0.98 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.66/0.98 [6]~E(x61,x62)+E(f39(x61),f39(x62))
% 0.66/0.98 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.66/0.98 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.66/0.98 [9]~E(x91,x92)+E(f15(x91,x93,x94),f15(x92,x93,x94))
% 0.66/0.98 [10]~E(x101,x102)+E(f15(x103,x101,x104),f15(x103,x102,x104))
% 0.66/0.98 [11]~E(x111,x112)+E(f15(x113,x114,x111),f15(x113,x114,x112))
% 0.66/0.98 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 0.66/0.98 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 0.66/0.98 [14]~E(x141,x142)+E(f36(x141,x143),f36(x142,x143))
% 0.66/0.98 [15]~E(x151,x152)+E(f36(x153,x151),f36(x153,x152))
% 0.66/0.98 [16]~E(x161,x162)+E(f28(x161,x163,x164),f28(x162,x163,x164))
% 0.66/0.98 [17]~E(x171,x172)+E(f28(x173,x171,x174),f28(x173,x172,x174))
% 0.66/0.98 [18]~E(x181,x182)+E(f28(x183,x184,x181),f28(x183,x184,x182))
% 0.66/0.98 [19]~E(x191,x192)+E(f38(x191,x193),f38(x192,x193))
% 0.66/0.98 [20]~E(x201,x202)+E(f38(x203,x201),f38(x203,x202))
% 0.66/0.98 [21]~E(x211,x212)+E(f14(x211,x213,x214),f14(x212,x213,x214))
% 0.66/0.98 [22]~E(x221,x222)+E(f14(x223,x221,x224),f14(x223,x222,x224))
% 0.66/0.98 [23]~E(x231,x232)+E(f14(x233,x234,x231),f14(x233,x234,x232))
% 0.66/0.98 [24]~E(x241,x242)+E(f40(x241),f40(x242))
% 0.66/0.98 [25]~E(x251,x252)+E(f42(x251),f42(x252))
% 0.66/0.98 [26]~E(x261,x262)+E(f32(x261,x263),f32(x262,x263))
% 0.66/0.98 [27]~E(x271,x272)+E(f32(x273,x271),f32(x273,x272))
% 0.66/0.98 [28]~E(x281,x282)+E(f35(x281,x283),f35(x282,x283))
% 0.66/0.98 [29]~E(x291,x292)+E(f35(x293,x291),f35(x293,x292))
% 0.66/0.98 [30]~E(x301,x302)+E(f33(x301,x303),f33(x302,x303))
% 0.66/0.98 [31]~E(x311,x312)+E(f33(x313,x311),f33(x313,x312))
% 0.66/0.98 [32]~E(x321,x322)+E(f34(x321,x323),f34(x322,x323))
% 0.66/0.98 [33]~E(x331,x332)+E(f34(x333,x331),f34(x333,x332))
% 0.66/0.98 [34]~E(x341,x342)+E(f11(x341,x343),f11(x342,x343))
% 0.66/0.98 [35]~E(x351,x352)+E(f11(x353,x351),f11(x353,x352))
% 0.66/0.98 [36]~E(x361,x362)+E(f27(x361,x363,x364),f27(x362,x363,x364))
% 0.66/0.98 [37]~E(x371,x372)+E(f27(x373,x371,x374),f27(x373,x372,x374))
% 0.66/0.98 [38]~E(x381,x382)+E(f27(x383,x384,x381),f27(x383,x384,x382))
% 0.66/0.98 [39]~E(x391,x392)+E(f7(x391),f7(x392))
% 0.66/0.98 [40]~E(x401,x402)+E(f31(x401,x403),f31(x402,x403))
% 0.66/0.98 [41]~E(x411,x412)+E(f31(x413,x411),f31(x413,x412))
% 0.66/0.98 [42]~E(x421,x422)+E(f22(x421,x423,x424),f22(x422,x423,x424))
% 0.66/0.98 [43]~E(x431,x432)+E(f22(x433,x431,x434),f22(x433,x432,x434))
% 0.66/0.98 [44]~E(x441,x442)+E(f22(x443,x444,x441),f22(x443,x444,x442))
% 0.66/0.98 [45]~E(x451,x452)+E(f10(x451,x453),f10(x452,x453))
% 0.66/0.98 [46]~E(x461,x462)+E(f10(x463,x461),f10(x463,x462))
% 0.66/0.98 [47]~E(x471,x472)+E(f17(x471,x473,x474,x475),f17(x472,x473,x474,x475))
% 0.66/0.98 [48]~E(x481,x482)+E(f17(x483,x481,x484,x485),f17(x483,x482,x484,x485))
% 0.66/0.98 [49]~E(x491,x492)+E(f17(x493,x494,x491,x495),f17(x493,x494,x492,x495))
% 0.66/0.98 [50]~E(x501,x502)+E(f17(x503,x504,x505,x501),f17(x503,x504,x505,x502))
% 0.66/0.98 [51]~E(x511,x512)+E(f13(x511,x513,x514),f13(x512,x513,x514))
% 0.66/0.98 [52]~E(x521,x522)+E(f13(x523,x521,x524),f13(x523,x522,x524))
% 0.66/0.98 [53]~E(x531,x532)+E(f13(x533,x534,x531),f13(x533,x534,x532))
% 0.66/0.98 [54]~E(x541,x542)+E(f26(x541,x543),f26(x542,x543))
% 0.66/0.98 [55]~E(x551,x552)+E(f26(x553,x551),f26(x553,x552))
% 0.66/0.98 [56]~E(x561,x562)+E(f30(x561,x563),f30(x562,x563))
% 0.66/0.98 [57]~E(x571,x572)+E(f30(x573,x571),f30(x573,x572))
% 0.66/0.98 [58]~E(x581,x582)+E(f43(x581),f43(x582))
% 0.66/0.98 [59]~E(x591,x592)+E(f8(x591),f8(x592))
% 0.66/0.98 [60]~E(x601,x602)+E(f12(x601,x603,x604),f12(x602,x603,x604))
% 0.66/0.98 [61]~E(x611,x612)+E(f12(x613,x611,x614),f12(x613,x612,x614))
% 0.66/0.98 [62]~E(x621,x622)+E(f12(x623,x624,x621),f12(x623,x624,x622))
% 0.66/0.98 [63]~E(x631,x632)+E(f19(x631),f19(x632))
% 0.66/0.98 [64]~E(x641,x642)+E(f21(x641,x643,x644),f21(x642,x643,x644))
% 0.66/0.98 [65]~E(x651,x652)+E(f21(x653,x651,x654),f21(x653,x652,x654))
% 0.66/0.98 [66]~E(x661,x662)+E(f21(x663,x664,x661),f21(x663,x664,x662))
% 0.66/0.98 [67]~E(x671,x672)+E(f9(x671),f9(x672))
% 0.66/0.98 [68]~E(x681,x682)+E(f23(x681),f23(x682))
% 0.66/0.98 [69]~E(x691,x692)+E(f16(x691,x693,x694),f16(x692,x693,x694))
% 0.66/0.98 [70]~E(x701,x702)+E(f16(x703,x701,x704),f16(x703,x702,x704))
% 0.66/0.98 [71]~E(x711,x712)+E(f16(x713,x714,x711),f16(x713,x714,x712))
% 0.66/0.98 [72]~E(x721,x722)+E(f18(x721,x723,x724),f18(x722,x723,x724))
% 0.66/0.98 [73]~E(x731,x732)+E(f18(x733,x731,x734),f18(x733,x732,x734))
% 0.66/0.98 [74]~E(x741,x742)+E(f18(x743,x744,x741),f18(x743,x744,x742))
% 0.66/0.98 [75]~E(x751,x752)+E(f25(x751),f25(x752))
% 0.66/0.98 [76]~E(x761,x762)+E(f20(x761),f20(x762))
% 0.66/0.98 [77]~E(x771,x772)+E(f24(x771),f24(x772))
% 0.66/0.98 [78]~E(x781,x782)+E(f29(x781,x783),f29(x782,x783))
% 0.66/0.98 [79]~E(x791,x792)+E(f29(x793,x791),f29(x793,x792))
% 0.66/0.98 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 0.66/0.98 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 0.66/0.98 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 0.66/0.98 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 0.66/0.98 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843)
% 0.66/0.98 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851)
% 0.66/0.98 [86]~P5(x861)+P5(x862)+~E(x861,x862)
% 0.66/0.98 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.66/0.98 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.66/0.98 [89]~P4(x891)+P4(x892)+~E(x891,x892)
% 0.66/0.98 [90]~P2(x901)+P2(x902)+~E(x901,x902)
% 0.66/0.98 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 0.66/0.98 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 0.66/0.98
% 0.66/0.98 %-------------------------------------------
% 0.66/0.99 cnf(292,plain,
% 0.66/0.99 (~P3(x2921,f4(a3))),
% 0.66/0.99 inference(scs_inference,[],[115,93,94,2,151,138])).
% 0.66/0.99 cnf(294,plain,
% 0.66/0.99 (P1(f4(a3))),
% 0.66/0.99 inference(scs_inference,[],[115,93,94,2,151,138,130])).
% 0.66/0.99 cnf(296,plain,
% 0.66/0.99 (~E(a41,f4(a3))),
% 0.66/0.99 inference(scs_inference,[],[115,93,94,2,151,138,130,82])).
% 0.66/0.99 cnf(297,plain,
% 0.66/0.99 (P3(f2(a1),a41)),
% 0.66/0.99 inference(scs_inference,[],[115,116,93,94,2,151,138,130,82,81])).
% 0.66/0.99 cnf(300,plain,
% 0.66/0.99 (~P5(a41)),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,128,93,94,2,151,138,130,82,81,80,3,136])).
% 0.66/0.99 cnf(302,plain,
% 0.66/0.99 (~P6(f4(a3))),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,128,93,94,2,151,138,130,82,81,80,3,136,133])).
% 0.66/0.99 cnf(308,plain,
% 0.66/0.99 (P9(a3,a44)),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145])).
% 0.66/0.99 cnf(314,plain,
% 0.66/0.99 (P7(f5(a46,a3),a41)),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,118,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177])).
% 0.66/0.99 cnf(334,plain,
% 0.66/0.99 (P3(f2(a3),a41)),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,118,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152])).
% 0.66/0.99 cnf(342,plain,
% 0.66/0.99 (~E(f2(a3),a3)),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,118,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140])).
% 0.66/0.99 cnf(346,plain,
% 0.66/0.99 (P4(f7(a41))),
% 0.66/0.99 inference(scs_inference,[],[99,105,115,116,118,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135])).
% 0.66/0.99 cnf(409,plain,
% 0.66/0.99 (E(f38(x4091,f2(a1)),f38(x4091,a44))),
% 0.66/0.99 inference(scs_inference,[],[99,105,108,115,116,118,128,93,94,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 0.66/0.99 cnf(438,plain,
% 0.66/0.99 (~P7(f5(a46,a53),f5(a46,a3))),
% 0.66/0.99 inference(scs_inference,[],[129,99,103,105,108,115,116,118,128,93,94,113,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85])).
% 0.66/0.99 cnf(442,plain,
% 0.66/0.99 (P1(a51)),
% 0.66/0.99 inference(scs_inference,[],[129,99,103,105,106,108,115,116,118,120,128,93,94,113,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149])).
% 0.66/0.99 cnf(446,plain,
% 0.66/0.99 (~P3(f7(a41),a41)),
% 0.66/0.99 inference(scs_inference,[],[129,99,103,105,106,108,115,116,118,120,128,93,94,113,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160])).
% 0.66/0.99 cnf(452,plain,
% 0.66/0.99 (E(f2(f23(f2(a3))),f2(a3))),
% 0.66/0.99 inference(scs_inference,[],[129,99,103,105,106,108,115,116,118,120,128,93,94,113,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146])).
% 0.66/0.99 cnf(480,plain,
% 0.66/0.99 (~P9(f2(f2(a3)),f2(a3))),
% 0.66/0.99 inference(scs_inference,[],[129,99,100,103,104,105,106,108,115,116,118,120,128,93,94,113,125,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146,181,200,191,161,185,176,187,175,174,173,172,171,240,222])).
% 0.66/0.99 cnf(494,plain,
% 0.66/0.99 (~E(a41,f36(f4(a3),f7(a41)))),
% 0.66/0.99 inference(scs_inference,[],[129,99,100,103,104,105,106,108,115,116,118,120,128,93,94,113,122,125,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146,181,200,191,161,185,176,187,175,174,173,172,171,240,222,221,184,199,227,249,273,203])).
% 0.66/0.99 cnf(496,plain,
% 0.66/0.99 (~E(f4(a3),f4(f2(a3)))),
% 0.66/0.99 inference(scs_inference,[],[129,99,100,103,104,105,106,108,115,116,118,120,128,93,94,113,122,125,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146,181,200,191,161,185,176,187,175,174,173,172,171,240,222,221,184,199,227,249,273,203,220])).
% 0.66/0.99 cnf(500,plain,
% 0.66/0.99 (P3(f32(a3,a41),a41)),
% 0.66/0.99 inference(scs_inference,[],[129,99,100,103,104,105,106,108,115,116,118,120,128,93,94,113,122,125,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146,181,200,191,161,185,176,187,175,174,173,172,171,240,222,221,184,199,227,249,273,203,220,190,231])).
% 0.66/0.99 cnf(502,plain,
% 0.66/0.99 (~E(f4(a3),f35(a41,f7(a41)))),
% 0.66/0.99 inference(scs_inference,[],[129,99,100,103,104,105,106,108,115,116,118,120,128,93,94,113,122,125,2,151,138,130,82,81,80,3,136,133,217,216,145,137,197,177,169,168,167,158,157,156,155,154,153,152,144,143,142,140,139,135,134,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,252,179,256,254,90,88,87,86,85,83,150,149,147,160,159,148,146,181,200,191,161,185,176,187,175,174,173,172,171,240,222,221,184,199,227,249,273,203,220,190,231,212])).
% 0.66/0.99 cnf(533,plain,
% 0.66/0.99 (E(f38(x5331,f2(a1)),f38(x5331,a44))),
% 0.66/0.99 inference(rename_variables,[],[409])).
% 0.66/0.99 cnf(536,plain,
% 0.66/0.99 (~P3(x5361,f4(a3))),
% 0.66/0.99 inference(rename_variables,[],[292])).
% 0.66/0.99 cnf(539,plain,
% 0.66/0.99 (~P3(x5391,f4(a3))),
% 0.66/0.99 inference(rename_variables,[],[292])).
% 0.66/0.99 cnf(542,plain,
% 0.66/0.99 (~P3(x5421,f4(a3))),
% 0.66/0.99 inference(rename_variables,[],[292])).
% 0.66/0.99 cnf(571,plain,
% 0.66/0.99 (~P3(x5711,f4(a3))),
% 0.66/0.99 inference(rename_variables,[],[292])).
% 0.66/0.99 cnf(608,plain,
% 0.66/0.99 ($false),
% 0.66/0.99 inference(scs_inference,[],[129,102,107,109,117,119,95,126,128,100,104,116,99,115,93,409,533,292,536,539,542,571,438,502,452,296,342,480,496,294,302,346,314,494,297,334,446,500,300,308,442,201,244,178,214,215,246,263,260,262,138,150,136,160,141,181,161,207,187,175,174,184,199,190,2,88,85,83,81,149,133,159,148,146,200,191,176,173,172,171,240,231,145]),
% 0.66/0.99 ['proof']).
% 0.66/0.99 % SZS output end Proof
% 0.66/0.99 % Total time :0.270000s
%------------------------------------------------------------------------------