TSTP Solution File: NUM627+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM627+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 10:23:51 EDT 2023
% Result : Theorem 1.29s 1.37s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM627+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.28 % Computer : n032.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 300
% 0.07/0.28 % DateTime : Fri Aug 25 08:11:42 EDT 2023
% 0.07/0.28 % CPUTime :
% 0.12/0.43 start to proof:theBenchmark
% 1.22/1.35 %-------------------------------------------
% 1.22/1.35 % File :CSE---1.6
% 1.22/1.35 % Problem :theBenchmark
% 1.22/1.35 % Transform :cnf
% 1.22/1.35 % Format :tptp:raw
% 1.22/1.35 % Command :java -jar mcs_scs.jar %d %s
% 1.22/1.35
% 1.22/1.35 % Result :Theorem 0.810000s
% 1.22/1.35 % Output :CNFRefutation 0.810000s
% 1.22/1.35 %-------------------------------------------
% 1.22/1.35 %------------------------------------------------------------------------------
% 1.22/1.35 % File : NUM627+1 : TPTP v8.1.2. Released v4.0.0.
% 1.22/1.35 % Domain : Number Theory
% 1.22/1.35 % Problem : Ramsey's Infinite Theorem 15_02_23_11_04_03, 00 expansion
% 1.22/1.35 % Version : Especial.
% 1.22/1.35 % English :
% 1.22/1.35
% 1.22/1.35 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.22/1.35 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.22/1.35 % Source : [Pas08]
% 1.22/1.35 % Names : ramsey_15_02_23_11_04_03.00 [Pas08]
% 1.22/1.35
% 1.22/1.35 % Status : ContradictoryAxioms
% 1.22/1.35 % Rating : 0.25 v8.1.0, 0.28 v7.4.0, 0.43 v7.3.0, 0.00 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.65 v4.0.1, 0.83 v4.0.0
% 1.22/1.35 % Syntax : Number of formulae : 119 ( 24 unt; 11 def)
% 1.22/1.35 % Number of atoms : 413 ( 76 equ)
% 1.22/1.35 % Maximal formula atoms : 12 ( 3 avg)
% 1.22/1.35 % Number of connectives : 321 ( 27 ~; 4 |; 133 &)
% 1.22/1.35 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 1.22/1.35 % Maximal formula depth : 15 ( 5 avg)
% 1.22/1.35 % Maximal term depth : 5 ( 1 avg)
% 1.22/1.35 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 1.22/1.35 % Number of functors : 33 ( 33 usr; 19 con; 0-2 aty)
% 1.22/1.35 % Number of variables : 171 ( 159 !; 12 ?)
% 1.22/1.35 % SPC : FOF_CAX_RFO_SEQ
% 1.22/1.35
% 1.22/1.35 % Comments : Problem generated by the SAD system [VLP07]
% 1.22/1.35 %------------------------------------------------------------------------------
% 1.22/1.35 fof(mSetSort,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aSet0(W0)
% 1.22/1.35 => $true ) ).
% 1.22/1.35
% 1.22/1.35 fof(mElmSort,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aElement0(W0)
% 1.22/1.35 => $true ) ).
% 1.22/1.35
% 1.22/1.35 fof(mEOfElem,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aSet0(W0)
% 1.22/1.35 => ! [W1] :
% 1.22/1.35 ( aElementOf0(W1,W0)
% 1.22/1.35 => aElement0(W1) ) ) ).
% 1.22/1.35
% 1.22/1.35 fof(mFinRel,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aSet0(W0)
% 1.22/1.35 => ( isFinite0(W0)
% 1.22/1.35 => $true ) ) ).
% 1.22/1.35
% 1.22/1.35 fof(mDefEmp,definition,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( W0 = slcrc0
% 1.22/1.35 <=> ( aSet0(W0)
% 1.22/1.35 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.22/1.35
% 1.22/1.35 fof(mEmpFin,axiom,
% 1.22/1.35 isFinite0(slcrc0) ).
% 1.22/1.35
% 1.22/1.35 fof(mCntRel,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aSet0(W0)
% 1.22/1.35 => ( isCountable0(W0)
% 1.22/1.35 => $true ) ) ).
% 1.22/1.35
% 1.22/1.35 fof(mCountNFin,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( ( aSet0(W0)
% 1.22/1.35 & isCountable0(W0) )
% 1.22/1.35 => ~ isFinite0(W0) ) ).
% 1.22/1.35
% 1.22/1.35 fof(mCountNFin_01,axiom,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( ( aSet0(W0)
% 1.22/1.35 & isCountable0(W0) )
% 1.22/1.35 => W0 != slcrc0 ) ).
% 1.22/1.35
% 1.22/1.35 fof(mDefSub,definition,
% 1.22/1.35 ! [W0] :
% 1.22/1.35 ( aSet0(W0)
% 1.22/1.35 => ! [W1] :
% 1.22/1.35 ( aSubsetOf0(W1,W0)
% 1.22/1.35 <=> ( aSet0(W1)
% 1.22/1.35 & ! [W2] :
% 1.22/1.35 ( aElementOf0(W2,W1)
% 1.22/1.36 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSubFSet,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & isFinite0(W0) )
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( aSubsetOf0(W1,W0)
% 1.22/1.36 => isFinite0(W1) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSubRefl,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.22/1.36 => aSubsetOf0(W0,W0) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSubASymm,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & aSet0(W1) )
% 1.22/1.36 => ( ( aSubsetOf0(W0,W1)
% 1.22/1.36 & aSubsetOf0(W1,W0) )
% 1.22/1.36 => W0 = W1 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSubTrans,axiom,
% 1.22/1.36 ! [W0,W1,W2] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & aSet0(W1)
% 1.22/1.36 & aSet0(W2) )
% 1.22/1.36 => ( ( aSubsetOf0(W0,W1)
% 1.22/1.36 & aSubsetOf0(W1,W2) )
% 1.22/1.36 => aSubsetOf0(W0,W2) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mDefCons,definition,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & aElement0(W1) )
% 1.22/1.36 => ! [W2] :
% 1.22/1.36 ( W2 = sdtpldt0(W0,W1)
% 1.22/1.36 <=> ( aSet0(W2)
% 1.22/1.36 & ! [W3] :
% 1.22/1.36 ( aElementOf0(W3,W2)
% 1.22/1.36 <=> ( aElement0(W3)
% 1.22/1.36 & ( aElementOf0(W3,W0)
% 1.22/1.36 | W3 = W1 ) ) ) ) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mDefDiff,definition,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & aElement0(W1) )
% 1.22/1.36 => ! [W2] :
% 1.22/1.36 ( W2 = sdtmndt0(W0,W1)
% 1.22/1.36 <=> ( aSet0(W2)
% 1.22/1.36 & ! [W3] :
% 1.22/1.36 ( aElementOf0(W3,W2)
% 1.22/1.36 <=> ( aElement0(W3)
% 1.22/1.36 & aElementOf0(W3,W0)
% 1.22/1.36 & W3 != W1 ) ) ) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mConsDiff,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( aElementOf0(W1,W0)
% 1.22/1.36 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mDiffCons,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElement0(W0)
% 1.22/1.36 & aSet0(W1) )
% 1.22/1.36 => ( ~ aElementOf0(W0,W1)
% 1.22/1.36 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCConsSet,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElement0(W0)
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( ( aSet0(W1)
% 1.22/1.36 & isCountable0(W1) )
% 1.22/1.36 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCDiffSet,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElement0(W0)
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( ( aSet0(W1)
% 1.22/1.36 & isCountable0(W1) )
% 1.22/1.36 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mFConsSet,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElement0(W0)
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( ( aSet0(W1)
% 1.22/1.36 & isFinite0(W1) )
% 1.22/1.36 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mFDiffSet,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElement0(W0)
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( ( aSet0(W1)
% 1.22/1.36 & isFinite0(W1) )
% 1.22/1.36 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mNATSet,axiom,
% 1.22/1.36 ( aSet0(szNzAzT0)
% 1.22/1.36 & isCountable0(szNzAzT0) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mZeroNum,axiom,
% 1.22/1.36 aElementOf0(sz00,szNzAzT0) ).
% 1.22/1.36
% 1.22/1.36 fof(mSuccNum,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.22/1.36 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSuccEquSucc,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.22/1.36 => W0 = W1 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mNatExtra,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => ( W0 = sz00
% 1.22/1.36 | ? [W1] :
% 1.22/1.36 ( aElementOf0(W1,szNzAzT0)
% 1.22/1.36 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mNatNSucc,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => W0 != szszuzczcdt0(W0) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessRel,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( sdtlseqdt0(W0,W1)
% 1.22/1.36 => $true ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mZeroLess,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => sdtlseqdt0(sz00,W0) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mNoScLessZr,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mSuccLess,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( sdtlseqdt0(W0,W1)
% 1.22/1.36 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessSucc,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessRefl,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => sdtlseqdt0(W0,W0) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessASymm,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( ( sdtlseqdt0(W0,W1)
% 1.22/1.36 & sdtlseqdt0(W1,W0) )
% 1.22/1.36 => W0 = W1 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessTrans,axiom,
% 1.22/1.36 ! [W0,W1,W2] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0)
% 1.22/1.36 & aElementOf0(W2,szNzAzT0) )
% 1.22/1.36 => ( ( sdtlseqdt0(W0,W1)
% 1.22/1.36 & sdtlseqdt0(W1,W2) )
% 1.22/1.36 => sdtlseqdt0(W0,W2) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mLessTotal,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( sdtlseqdt0(W0,W1)
% 1.22/1.36 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mIHSort,axiom,
% 1.22/1.36 ! [W0,W1] :
% 1.22/1.36 ( ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.22/1.36 => ( iLess0(W0,W1)
% 1.22/1.36 => $true ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mIH,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.22/1.36 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCardS,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.22/1.36 => aElement0(sbrdtbr0(W0)) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCardNum,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.22/1.36 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.22/1.36 <=> isFinite0(W0) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCardEmpty,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.22/1.36 => ( sbrdtbr0(W0) = sz00
% 1.22/1.36 <=> W0 = slcrc0 ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCardCons,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( ( aSet0(W0)
% 1.22/1.36 & isFinite0(W0) )
% 1.22/1.36 => ! [W1] :
% 1.22/1.36 ( aElement0(W1)
% 1.22/1.36 => ( ~ aElementOf0(W1,W0)
% 1.22/1.36 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.22/1.36
% 1.22/1.36 fof(mCardDiff,axiom,
% 1.22/1.36 ! [W0] :
% 1.22/1.36 ( aSet0(W0)
% 1.29/1.36 => ! [W1] :
% 1.29/1.36 ( ( isFinite0(W0)
% 1.29/1.36 & aElementOf0(W1,W0) )
% 1.29/1.36 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mCardSub,axiom,
% 1.29/1.36 ! [W0] :
% 1.29/1.36 ( aSet0(W0)
% 1.29/1.36 => ! [W1] :
% 1.29/1.36 ( ( isFinite0(W0)
% 1.29/1.36 & aSubsetOf0(W1,W0) )
% 1.29/1.36 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mCardSubEx,axiom,
% 1.29/1.36 ! [W0,W1] :
% 1.29/1.36 ( ( aSet0(W0)
% 1.29/1.36 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.36 => ( ( isFinite0(W0)
% 1.29/1.36 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.29/1.36 => ? [W2] :
% 1.29/1.36 ( aSubsetOf0(W2,W0)
% 1.29/1.36 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mDefMin,definition,
% 1.29/1.36 ! [W0] :
% 1.29/1.36 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.29/1.36 & W0 != slcrc0 )
% 1.29/1.36 => ! [W1] :
% 1.29/1.36 ( W1 = szmzizndt0(W0)
% 1.29/1.36 <=> ( aElementOf0(W1,W0)
% 1.29/1.36 & ! [W2] :
% 1.29/1.36 ( aElementOf0(W2,W0)
% 1.29/1.36 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mDefMax,definition,
% 1.29/1.36 ! [W0] :
% 1.29/1.36 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.29/1.36 & isFinite0(W0)
% 1.29/1.36 & W0 != slcrc0 )
% 1.29/1.36 => ! [W1] :
% 1.29/1.36 ( W1 = szmzazxdt0(W0)
% 1.29/1.36 <=> ( aElementOf0(W1,W0)
% 1.29/1.36 & ! [W2] :
% 1.29/1.36 ( aElementOf0(W2,W0)
% 1.29/1.36 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mMinMin,axiom,
% 1.29/1.36 ! [W0,W1] :
% 1.29/1.36 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.29/1.36 & aSubsetOf0(W1,szNzAzT0)
% 1.29/1.36 & W0 != slcrc0
% 1.29/1.36 & W1 != slcrc0 )
% 1.29/1.36 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.29/1.36 & aElementOf0(szmzizndt0(W1),W0) )
% 1.29/1.36 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mDefSeg,definition,
% 1.29/1.36 ! [W0] :
% 1.29/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.36 => ! [W1] :
% 1.29/1.36 ( W1 = slbdtrb0(W0)
% 1.29/1.36 <=> ( aSet0(W1)
% 1.29/1.36 & ! [W2] :
% 1.29/1.36 ( aElementOf0(W2,W1)
% 1.29/1.36 <=> ( aElementOf0(W2,szNzAzT0)
% 1.29/1.36 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mSegFin,axiom,
% 1.29/1.36 ! [W0] :
% 1.29/1.36 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.36 => isFinite0(slbdtrb0(W0)) ) ).
% 1.29/1.36
% 1.29/1.36 fof(mSegZero,axiom,
% 1.29/1.36 slbdtrb0(sz00) = slcrc0 ).
% 1.29/1.36
% 1.29/1.36 fof(mSegSucc,axiom,
% 1.29/1.36 ! [W0,W1] :
% 1.29/1.37 ( ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.37 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.29/1.37 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.29/1.37 | W0 = W1 ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSegLess,axiom,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.37 => ( sdtlseqdt0(W0,W1)
% 1.29/1.37 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mFinSubSeg,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.29/1.37 & isFinite0(W0) )
% 1.29/1.37 => ? [W1] :
% 1.29/1.37 ( aElementOf0(W1,szNzAzT0)
% 1.29/1.37 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mCardSeg,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDefSel,definition,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aSet0(W0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( W2 = slbdtsldtrb0(W0,W1)
% 1.29/1.37 <=> ( aSet0(W2)
% 1.29/1.37 & ! [W3] :
% 1.29/1.37 ( aElementOf0(W3,W2)
% 1.29/1.37 <=> ( aSubsetOf0(W3,W0)
% 1.29/1.37 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSelFSet,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( ( aSet0(W0)
% 1.29/1.37 & isFinite0(W0) )
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aElementOf0(W1,szNzAzT0)
% 1.29/1.37 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSelNSet,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( ( aSet0(W0)
% 1.29/1.37 & ~ isFinite0(W0) )
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aElementOf0(W1,szNzAzT0)
% 1.29/1.37 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSelCSet,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( ( aSet0(W0)
% 1.29/1.37 & isCountable0(W0) )
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aElementOf0(W1,szNzAzT0)
% 1.29/1.37 & W1 != sz00 )
% 1.29/1.37 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSelSub,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ! [W1,W2] :
% 1.29/1.37 ( ( aSet0(W1)
% 1.29/1.37 & aSet0(W2)
% 1.29/1.37 & W0 != sz00 )
% 1.29/1.37 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 1.29/1.37 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 1.29/1.37 => aSubsetOf0(W1,W2) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mSelExtra,axiom,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aSet0(W0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 1.29/1.37 & isFinite0(W2) )
% 1.29/1.37 => ? [W3] :
% 1.29/1.37 ( aSubsetOf0(W3,W0)
% 1.29/1.37 & isFinite0(W3)
% 1.29/1.37 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mFunSort,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => $true ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDomSet,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => aSet0(szDzozmdt0(W0)) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mImgElm,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.29/1.37 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDefPtt,definition,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aFunction0(W0)
% 1.29/1.37 & aElement0(W1) )
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( W2 = sdtlbdtrb0(W0,W1)
% 1.29/1.37 <=> ( aSet0(W2)
% 1.29/1.37 & ! [W3] :
% 1.29/1.37 ( aElementOf0(W3,W2)
% 1.29/1.37 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 1.29/1.37 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mPttSet,axiom,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aFunction0(W0)
% 1.29/1.37 & aElement0(W1) )
% 1.29/1.37 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDefSImg,definition,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( W2 = sdtlcdtrc0(W0,W1)
% 1.29/1.37 <=> ( aSet0(W2)
% 1.29/1.37 & ! [W3] :
% 1.29/1.37 ( aElementOf0(W3,W2)
% 1.29/1.37 <=> ? [W4] :
% 1.29/1.37 ( aElementOf0(W4,W1)
% 1.29/1.37 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mImgRng,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.29/1.37 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDefRst,definition,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( W2 = sdtexdt0(W0,W1)
% 1.29/1.37 <=> ( aFunction0(W2)
% 1.29/1.37 & szDzozmdt0(W2) = W1
% 1.29/1.37 & ! [W3] :
% 1.29/1.37 ( aElementOf0(W3,W1)
% 1.29/1.37 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mImgCount,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.29/1.37 & isCountable0(W1) )
% 1.29/1.37 => ( ! [W2,W3] :
% 1.29/1.37 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 1.29/1.37 & aElementOf0(W3,szDzozmdt0(W0))
% 1.29/1.37 & W2 != W3 )
% 1.29/1.37 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 1.29/1.37 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(mDirichlet,axiom,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aFunction0(W0)
% 1.29/1.37 => ( ( isCountable0(szDzozmdt0(W0))
% 1.29/1.37 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 1.29/1.37 => ( aElement0(szDzizrdt0(W0))
% 1.29/1.37 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3291,hypothesis,
% 1.29/1.37 ( aSet0(xT)
% 1.29/1.37 & isFinite0(xT) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3418,hypothesis,
% 1.29/1.37 aElementOf0(xK,szNzAzT0) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3435,hypothesis,
% 1.29/1.37 ( aSubsetOf0(xS,szNzAzT0)
% 1.29/1.37 & isCountable0(xS) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3453,hypothesis,
% 1.29/1.37 ( aFunction0(xc)
% 1.29/1.37 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 1.29/1.37 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3398,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aSubsetOf0(W1,szNzAzT0)
% 1.29/1.37 & isCountable0(W1) )
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( ( aFunction0(W2)
% 1.29/1.37 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 1.29/1.37 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 1.29/1.37 => ( iLess0(W0,xK)
% 1.29/1.37 => ? [W3] :
% 1.29/1.37 ( aElementOf0(W3,xT)
% 1.29/1.37 & ? [W4] :
% 1.29/1.37 ( aSubsetOf0(W4,W1)
% 1.29/1.37 & isCountable0(W4)
% 1.29/1.37 & ! [W5] :
% 1.29/1.37 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 1.29/1.37 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3462,hypothesis,
% 1.29/1.37 xK != sz00 ).
% 1.29/1.37
% 1.29/1.37 fof(m__3520,hypothesis,
% 1.29/1.37 xK != sz00 ).
% 1.29/1.37
% 1.29/1.37 fof(m__3533,hypothesis,
% 1.29/1.37 ( aElementOf0(xk,szNzAzT0)
% 1.29/1.37 & szszuzczcdt0(xk) = xK ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3623,hypothesis,
% 1.29/1.37 ( aFunction0(xN)
% 1.29/1.37 & szDzozmdt0(xN) = szNzAzT0
% 1.29/1.37 & sdtlpdtrp0(xN,sz00) = xS
% 1.29/1.37 & ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.29/1.37 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 1.29/1.37 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.29/1.37 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3671,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.29/1.37 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3754,hypothesis,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0) )
% 1.29/1.37 => ( sdtlseqdt0(W1,W0)
% 1.29/1.37 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3821,hypothesis,
% 1.29/1.37 ! [W0,W1] :
% 1.29/1.37 ( ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 & aElementOf0(W1,szNzAzT0)
% 1.29/1.37 & W0 != W1 )
% 1.29/1.37 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__3965,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aSet0(W1)
% 1.29/1.37 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.29/1.37 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4151,hypothesis,
% 1.29/1.37 ( aFunction0(xC)
% 1.29/1.37 & szDzozmdt0(xC) = szNzAzT0
% 1.29/1.37 & ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 1.29/1.37 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 1.29/1.37 & ! [W1] :
% 1.29/1.37 ( ( aSet0(W1)
% 1.29/1.37 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.29/1.37 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4182,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4331,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.29/1.37 & isCountable0(W1) )
% 1.29/1.37 => ! [W2] :
% 1.29/1.37 ( ( aSet0(W2)
% 1.29/1.37 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 1.29/1.37 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4411,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ? [W1] :
% 1.29/1.37 ( aElementOf0(W1,xT)
% 1.29/1.37 & ? [W2] :
% 1.29/1.37 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.29/1.37 & isCountable0(W2)
% 1.29/1.37 & ! [W3] :
% 1.29/1.37 ( ( aSet0(W3)
% 1.29/1.37 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 1.29/1.37 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4618,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ? [W1] :
% 1.29/1.37 ( aElementOf0(W1,xT)
% 1.29/1.37 & ! [W2] :
% 1.29/1.37 ( ( aSet0(W2)
% 1.29/1.37 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.29/1.37 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4660,hypothesis,
% 1.29/1.37 ( aFunction0(xe)
% 1.29/1.37 & szDzozmdt0(xe) = szNzAzT0
% 1.29/1.37 & ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4730,hypothesis,
% 1.29/1.37 ( aFunction0(xd)
% 1.29/1.37 & szDzozmdt0(xd) = szNzAzT0
% 1.29/1.37 & ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,szNzAzT0)
% 1.29/1.37 => ! [W1] :
% 1.29/1.37 ( ( aSet0(W1)
% 1.29/1.37 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.29/1.37 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4758,hypothesis,
% 1.29/1.37 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4854,hypothesis,
% 1.29/1.37 ( aElementOf0(szDzizrdt0(xd),xT)
% 1.29/1.37 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4891,hypothesis,
% 1.29/1.37 ( aSet0(xO)
% 1.29/1.37 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4908,hypothesis,
% 1.29/1.37 ( aSet0(xO)
% 1.29/1.37 & isCountable0(xO) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4982,hypothesis,
% 1.29/1.37 ! [W0] :
% 1.29/1.37 ( aElementOf0(W0,xO)
% 1.29/1.37 => ? [W1] :
% 1.29/1.37 ( aElementOf0(W1,szNzAzT0)
% 1.29/1.37 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 1.29/1.37 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__4998,hypothesis,
% 1.29/1.37 aSubsetOf0(xO,xS) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5078,hypothesis,
% 1.29/1.37 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5093,hypothesis,
% 1.29/1.37 ( aSubsetOf0(xQ,xO)
% 1.29/1.37 & xQ != slcrc0 ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5106,hypothesis,
% 1.29/1.37 aSubsetOf0(xQ,szNzAzT0) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5116,hypothesis,
% 1.29/1.37 aElementOf0(xQ,szDzozmdt0(xc)) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5147,hypothesis,
% 1.29/1.37 xp = szmzizndt0(xQ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5164,hypothesis,
% 1.29/1.37 ( aSet0(xP)
% 1.29/1.37 & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5173,hypothesis,
% 1.29/1.37 aElementOf0(xp,xQ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5182,hypothesis,
% 1.29/1.37 aElementOf0(xp,xO) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5195,hypothesis,
% 1.29/1.37 aSubsetOf0(xP,xQ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5208,hypothesis,
% 1.29/1.37 aSubsetOf0(xP,xO) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5217,hypothesis,
% 1.29/1.37 sbrdtbr0(xP) = xk ).
% 1.29/1.37
% 1.29/1.37 fof(m__5270,hypothesis,
% 1.29/1.37 aElementOf0(xP,slbdtsldtrb0(xO,xk)) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5309,hypothesis,
% 1.29/1.37 ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 1.29/1.37 & aElementOf0(xn,szNzAzT0)
% 1.29/1.37 & sdtlpdtrp0(xe,xn) = xp ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5321,hypothesis,
% 1.29/1.37 sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5348,hypothesis,
% 1.29/1.37 aElementOf0(xx,xP) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5365,hypothesis,
% 1.29/1.37 ( aElementOf0(xx,szNzAzT0)
% 1.29/1.37 & aElementOf0(xx,xO) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5389,hypothesis,
% 1.29/1.37 ( aElementOf0(xm,szNzAzT0)
% 1.29/1.37 & xx = sdtlpdtrp0(xe,xm) ) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5401,hypothesis,
% 1.29/1.37 xx = szmzizndt0(sdtlpdtrp0(xN,xm)) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5442,hypothesis,
% 1.29/1.37 ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ).
% 1.29/1.37
% 1.29/1.37 fof(m__5461,hypothesis,
% 1.29/1.37 ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ).
% 1.29/1.37
% 1.29/1.37 fof(m__,conjecture,
% 1.29/1.37 aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ).
% 1.29/1.37
% 1.29/1.37 %------------------------------------------------------------------------------
% 1.29/1.37 %-------------------------------------------
% 1.29/1.37 % Proof found
% 1.29/1.37 % SZS status Theorem for theBenchmark
% 1.29/1.37 % SZS output start Proof
% 1.29/1.37 %ClaNum:312(EqnAxiom:92)
% 1.29/1.37 %VarNum:1229(SingletonVarNum:358)
% 1.29/1.37 %MaxLitNum:9
% 1.29/1.37 %MaxfuncDepth:4
% 1.29/1.37 %SharedTerms:105
% 1.29/1.37 %goalClause: 151
% 1.29/1.37 %singleGoalClaCount:1
% 1.29/1.37 [101]P1(a41)
% 1.29/1.37 [102]P1(a53)
% 1.29/1.37 [104]P1(a48)
% 1.29/1.37 [105]P1(a46)
% 1.29/1.37 [106]P5(a37)
% 1.29/1.37 [107]P5(a53)
% 1.29/1.37 [108]P6(a41)
% 1.29/1.37 [109]P6(a54)
% 1.29/1.37 [110]P6(a48)
% 1.29/1.37 [111]P2(a55)
% 1.29/1.37 [112]P2(a47)
% 1.29/1.37 [113]P2(a45)
% 1.29/1.37 [114]P2(a51)
% 1.29/1.37 [115]P2(a52)
% 1.29/1.37 [119]P3(a29,a41)
% 1.29/1.37 [120]P3(a44,a41)
% 1.29/1.37 [121]P3(a50,a41)
% 1.29/1.37 [122]P3(a49,a48)
% 1.29/1.37 [123]P3(a49,a1)
% 1.29/1.37 [124]P3(a57,a41)
% 1.29/1.37 [125]P3(a58,a41)
% 1.29/1.37 [126]P3(a58,a48)
% 1.29/1.37 [127]P3(a58,a46)
% 1.29/1.37 [128]P3(a56,a41)
% 1.29/1.37 [129]P7(a54,a41)
% 1.29/1.37 [130]P7(a48,a54)
% 1.29/1.37 [131]P7(a1,a41)
% 1.29/1.37 [132]P7(a1,a48)
% 1.29/1.37 [133]P7(a46,a48)
% 1.29/1.37 [134]P7(a46,a1)
% 1.29/1.37 [149]~E(a29,a44)
% 1.29/1.37 [150]~E(a37,a1)
% 1.29/1.37 [93]E(f2(a1),a49)
% 1.29/1.37 [94]E(f43(a50),a44)
% 1.29/1.37 [95]E(f3(a46),a50)
% 1.29/1.37 [96]E(f30(a29),a37)
% 1.29/1.37 [97]E(f39(a47),a41)
% 1.29/1.37 [98]E(f39(a45),a41)
% 1.29/1.37 [99]E(f39(a51),a41)
% 1.29/1.37 [100]E(f39(a52),a41)
% 1.29/1.37 [116]E(f31(a51,a56),a58)
% 1.29/1.37 [117]E(f31(a47,a29),a54)
% 1.29/1.37 [118]E(f31(a51,a57),a49)
% 1.29/1.37 [135]E(f38(a54,a44),f39(a55))
% 1.29/1.37 [136]E(f31(a52,a57),f40(a52))
% 1.29/1.37 [138]P3(a1,f39(a55))
% 1.29/1.37 [139]P3(f40(a52),a53)
% 1.29/1.37 [141]P3(a1,f38(a48,a44))
% 1.29/1.37 [142]P3(a46,f38(a48,a50))
% 1.29/1.37 [152]~P7(f31(a47,a57),f31(a47,a56))
% 1.29/1.37 [137]E(f35(a1,f2(a1)),a46)
% 1.29/1.37 [140]E(f2(f31(a47,a56)),a58)
% 1.29/1.37 [143]P6(f32(a52,f40(a52)))
% 1.29/1.37 [145]P3(a57,f32(a52,f40(a52)))
% 1.29/1.37 [146]P7(f34(a55,f39(a55)),a53)
% 1.29/1.37 [147]P7(f34(a52,f39(a52)),a53)
% 1.29/1.37 [151]~P3(a58,f31(a47,f43(a57)))
% 1.29/1.37 [153]~P7(f31(a47,a56),f31(a47,f43(a57)))
% 1.29/1.37 [144]E(f34(a51,f32(a52,f40(a52))),a48)
% 1.29/1.37 [154]P1(x1541)+~E(x1541,a37)
% 1.29/1.37 [161]~P1(x1611)+P7(x1611,x1611)
% 1.29/1.37 [169]~P3(x1691,a41)+P9(a29,x1691)
% 1.29/1.37 [175]P9(x1751,x1751)+~P3(x1751,a41)
% 1.29/1.37 [158]~P2(x1581)+P1(f39(x1581))
% 1.29/1.37 [159]~P1(x1591)+P4(f3(x1591))
% 1.29/1.37 [163]~P3(x1631,a41)+~E(f43(x1631),a29)
% 1.29/1.37 [164]~P3(x1641,a41)+~E(f43(x1641),x1641)
% 1.29/1.37 [166]~P3(x1661,a41)+P5(f30(x1661))
% 1.29/1.37 [167]~P3(x1671,a41)+P6(f15(x1671))
% 1.29/1.37 [176]~P3(x1761,a41)+P3(f43(x1761),a41)
% 1.29/1.37 [177]~P3(x1771,a41)+P3(f16(x1771),a53)
% 1.29/1.37 [178]~P3(x1781,a41)+P3(f20(x1781),a53)
% 1.29/1.37 [179]~P3(x1791,a48)+P3(f21(x1791),a41)
% 1.29/1.37 [181]~P3(x1811,a41)+P9(x1811,f43(x1811))
% 1.29/1.37 [182]~P3(x1821,a41)+P8(x1821,f43(x1821))
% 1.29/1.37 [191]~P3(x1911,a41)+P6(f31(a47,x1911))
% 1.29/1.37 [192]~P3(x1921,a41)+P2(f31(a45,x1921))
% 1.29/1.37 [193]~P3(x1931,a41)+~P9(f43(x1931),a29)
% 1.29/1.37 [201]~P3(x2011,a41)+P7(f31(a47,x2011),a41)
% 1.29/1.37 [168]~P3(x1681,a41)+E(f3(f30(x1681)),x1681)
% 1.29/1.37 [180]~P3(x1801,a48)+E(f31(a51,f21(x1801)),x1801)
% 1.29/1.37 [203]~P3(x2031,a41)+E(f2(f31(a47,x2031)),f31(a51,x2031))
% 1.29/1.37 [221]~P3(x2211,a48)+P3(f21(x2211),f32(a52,f40(a52)))
% 1.29/1.37 [276]~P3(x2761,a41)+P7(f34(f31(a45,x2761),f39(f31(a45,x2761))),a53)
% 1.29/1.37 [278]~P3(x2781,a41)+P7(f15(x2781),f35(f31(a47,x2781),f2(f31(a47,x2781))))
% 1.29/1.37 [280]~P3(x2801,a41)+E(f38(f35(f31(a47,x2801),f2(f31(a47,x2801))),a50),f39(f31(a45,x2801)))
% 1.29/1.37 [162]~P3(x1622,x1621)+~E(x1621,a37)
% 1.29/1.37 [157]~P1(x1571)+~P6(x1571)+~E(x1571,a37)
% 1.29/1.37 [160]~P5(x1601)+~P6(x1601)+~P1(x1601)
% 1.29/1.37 [155]~P1(x1551)+~E(x1551,a37)+E(f3(x1551),a29)
% 1.29/1.37 [156]~P1(x1561)+E(x1561,a37)+~E(f3(x1561),a29)
% 1.29/1.37 [165]~P1(x1651)+P3(f4(x1651),x1651)+E(x1651,a37)
% 1.29/1.37 [172]~P1(x1721)+~P5(x1721)+P3(f3(x1721),a41)
% 1.29/1.37 [183]~P3(x1831,a41)+E(x1831,a29)+P3(f19(x1831),a41)
% 1.29/1.37 [184]~P1(x1841)+P5(x1841)+~P3(f3(x1841),a41)
% 1.29/1.37 [190]~P5(x1901)+~P7(x1901,a41)+P3(f5(x1901),a41)
% 1.29/1.37 [170]~P3(x1701,a41)+E(x1701,a29)+E(f43(f19(x1701)),x1701)
% 1.29/1.37 [204]~P5(x2041)+~P7(x2041,a41)+P7(x2041,f30(f5(x2041)))
% 1.29/1.37 [173]~P7(x1731,x1732)+P1(x1731)+~P1(x1732)
% 1.29/1.37 [174]~P3(x1741,x1742)+P4(x1741)+~P1(x1742)
% 1.29/1.37 [171]P1(x1711)+~P3(x1712,a41)+~E(x1711,f30(x1712))
% 1.29/1.37 [205]~P4(x2052)+~P2(x2051)+P7(f32(x2051,x2052),f39(x2051))
% 1.29/1.37 [222]~P2(x2221)+~P3(x2222,f39(x2221))+P4(f31(x2221,x2222))
% 1.29/1.37 [224]~P1(x2241)+~P3(x2242,x2241)+E(f36(f35(x2241,x2242),x2242),x2241)
% 1.29/1.37 [260]~P2(x2601)+~P3(x2602,f39(x2601))+P3(f31(x2601,x2602),f34(x2601,f39(x2601)))
% 1.29/1.37 [250]~P2(x2501)+~P6(f39(x2501))+P4(f40(x2501))+~P5(f34(x2501,f39(x2501)))
% 1.29/1.37 [269]~P2(x2691)+~P6(f39(x2691))+~P5(f34(x2691,f39(x2691)))+P6(f32(x2691,f40(x2691)))
% 1.29/1.37 [273]~P3(x2731,a41)+~P7(f31(a47,x2731),a41)+~P6(f31(a47,x2731))+P6(f31(a47,f43(x2731)))
% 1.29/1.37 [297]~P3(x2971,a41)+~P7(f31(a47,x2971),a41)+~P6(f31(a47,x2971))+P7(f31(a47,f43(x2971)),f35(f31(a47,x2971),f2(f31(a47,x2971))))
% 1.29/1.37 [185]~P5(x1852)+~P7(x1851,x1852)+P5(x1851)+~P1(x1852)
% 1.29/1.37 [189]P3(x1892,x1891)+~E(x1892,f2(x1891))+~P7(x1891,a41)+E(x1891,a37)
% 1.29/1.37 [195]~P1(x1951)+~P4(x1952)+~P5(x1951)+P5(f36(x1951,x1952))
% 1.29/1.37 [196]~P1(x1961)+~P4(x1962)+~P5(x1961)+P5(f35(x1961,x1962))
% 1.29/1.37 [197]~P1(x1971)+~P4(x1972)+~P6(x1971)+P6(f36(x1971,x1972))
% 1.29/1.37 [198]~P1(x1981)+~P4(x1982)+~P6(x1981)+P6(f35(x1981,x1982))
% 1.29/1.37 [199]~P1(x1991)+P5(x1991)+~P3(x1992,a41)+~E(f38(x1991,x1992),a37)
% 1.29/1.37 [202]E(x2021,x2022)+~E(f43(x2021),f43(x2022))+~P3(x2022,a41)+~P3(x2021,a41)
% 1.29/1.37 [208]~P1(x2082)+~P5(x2082)+~P7(x2081,x2082)+P9(f3(x2081),f3(x2082))
% 1.29/1.37 [211]~P1(x2111)+~P5(x2111)+~P3(x2112,a41)+P5(f38(x2111,x2112))
% 1.29/1.37 [220]~P1(x2201)+~P1(x2202)+P7(x2201,x2202)+P3(f22(x2202,x2201),x2201)
% 1.29/1.37 [228]P9(x2281,x2282)+P9(f43(x2282),x2281)+~P3(x2282,a41)+~P3(x2281,a41)
% 1.29/1.37 [240]~P9(x2401,x2402)+~P3(x2402,a41)+~P3(x2401,a41)+P7(f30(x2401),f30(x2402))
% 1.29/1.37 [241]~P9(x2411,x2412)+~P3(x2412,a41)+~P3(x2411,a41)+P9(f43(x2411),f43(x2412))
% 1.29/1.37 [243]~P1(x2431)+~P1(x2432)+P7(x2431,x2432)+~P3(f22(x2432,x2431),x2432)
% 1.29/1.37 [245]P9(x2451,x2452)+~P3(x2452,a41)+~P3(x2451,a41)+~P7(f30(x2451),f30(x2452))
% 1.29/1.37 [246]P9(x2461,x2462)+~P3(x2462,a41)+~P3(x2461,a41)+~P9(f43(x2461),f43(x2462))
% 1.29/1.37 [264]~P9(x2642,x2641)+~P3(x2642,a41)+~P3(x2641,a41)+P7(f31(a47,x2641),f31(a47,x2642))
% 1.29/1.37 [223]P3(x2232,x2231)+~P1(x2231)+~P4(x2232)+E(f35(f36(x2231,x2232),x2232),x2231)
% 1.29/1.37 [231]~E(x2311,x2312)+~P3(x2312,a41)+~P3(x2311,a41)+P3(x2311,f30(f43(x2312)))
% 1.29/1.38 [252]~P3(x2522,a41)+~P3(x2521,a41)+~P3(x2521,f30(x2522))+P3(x2521,f30(f43(x2522)))
% 1.29/1.38 [268]E(x2681,x2682)+~P3(x2682,a41)+~P3(x2681,a41)+~E(f2(f31(a47,x2681)),f2(f31(a47,x2682)))
% 1.29/1.38 [271]~P1(x2712)+~P3(x2711,a41)+E(f31(f31(a45,x2711),x2712),f16(x2711))+~P3(x2712,f38(f15(x2711),a50))
% 1.29/1.38 [251]~P1(x2511)+~P5(x2511)+~P3(x2512,x2511)+E(f43(f3(f35(x2511,x2512))),f3(x2511))
% 1.29/1.38 [281]~P1(x2812)+~P3(x2811,a41)+E(f31(f31(a45,x2811),x2812),f20(x2811))+~P3(x2812,f38(f31(a47,f43(x2811)),a50))
% 1.29/1.38 [283]~P1(x2832)+~P3(x2831,a41)+E(f31(f31(a45,x2831),x2832),f31(a52,x2831))+~P3(x2832,f38(f31(a47,f43(x2831)),a50))
% 1.29/1.38 [311]~P1(x3111)+~P3(x3112,a41)+P3(f36(x3111,f2(f31(a47,x3112))),f38(a54,a44))+~P3(x3111,f38(f35(f31(a47,x3112),f2(f31(a47,x3112))),a50))
% 1.29/1.38 [312]~P1(x3121)+~P3(x3122,a41)+~P3(x3121,f38(f35(f31(a47,x3122),f2(f31(a47,x3122))),a50))+E(f31(a55,f36(x3121,f2(f31(a47,x3122)))),f31(f31(a45,x3122),x3121))
% 1.29/1.38 [215]~P1(x2152)+~P7(x2153,x2152)+P3(x2151,x2152)+~P3(x2151,x2153)
% 1.29/1.38 [186]~P1(x1862)+~P4(x1863)+P1(x1861)+~E(x1861,f36(x1862,x1863))
% 1.29/1.38 [187]~P1(x1872)+~P4(x1873)+P1(x1871)+~E(x1871,f35(x1872,x1873))
% 1.29/1.38 [188]~P4(x1883)+~P2(x1882)+P1(x1881)+~E(x1881,f32(x1882,x1883))
% 1.29/1.38 [200]~P1(x2002)+P1(x2001)+~P3(x2003,a41)+~E(x2001,f38(x2002,x2003))
% 1.29/1.38 [209]~P3(x2091,x2092)+~P3(x2093,a41)+P3(x2091,a41)+~E(x2092,f30(x2093))
% 1.29/1.38 [217]~P2(x2172)+P1(x2171)+~P7(x2173,f39(x2172))+~E(x2171,f34(x2172,x2173))
% 1.29/1.38 [218]~P2(x2182)+P2(x2181)+~P7(x2183,f39(x2182))+~E(x2181,f33(x2182,x2183))
% 1.29/1.38 [219]~P2(x2193)+~P7(x2192,f39(x2193))+E(f39(x2191),x2192)+~E(x2191,f33(x2193,x2192))
% 1.29/1.38 [225]~P3(x2251,x2253)+~P3(x2252,a41)+P9(f43(x2251),x2252)+~E(x2253,f30(x2252))
% 1.29/1.38 [206]~P1(x2062)+~P1(x2061)+~P7(x2062,x2061)+~P7(x2061,x2062)+E(x2061,x2062)
% 1.29/1.38 [238]~P9(x2382,x2381)+~P9(x2381,x2382)+E(x2381,x2382)+~P3(x2382,a41)+~P3(x2381,a41)
% 1.29/1.38 [194]~P5(x1941)+P3(x1942,x1941)+~E(x1942,f42(x1941))+~P7(x1941,a41)+E(x1941,a37)
% 1.29/1.38 [214]~P1(x2142)+~P6(x2142)+~P3(x2141,a41)+E(x2141,a29)+P6(f38(x2142,x2141))
% 1.29/1.38 [242]~P3(x2422,x2421)+P3(f25(x2421,x2422),x2421)+~P7(x2421,a41)+E(x2421,a37)+E(x2422,f2(x2421))
% 1.29/1.38 [253]~P1(x2531)+~P5(x2531)+~P3(x2532,a41)+~P9(x2532,f3(x2531))+P7(f26(x2531,x2532),x2531)
% 1.29/1.38 [255]~P1(x2551)+P3(f28(x2552,x2551),x2551)+~P3(x2552,a41)+E(x2551,f30(x2552))+P3(f28(x2552,x2551),a41)
% 1.29/1.38 [256]~P3(x2562,x2561)+~P7(x2561,a41)+~P9(x2562,f25(x2561,x2562))+E(x2561,a37)+E(x2562,f2(x2561))
% 1.29/1.38 [263]~P6(x2632)+~P2(x2631)+~E(f6(x2631,x2632),f7(x2631,x2632))+~P7(x2632,f39(x2631))+P6(f34(x2631,x2632))
% 1.29/1.38 [265]~P6(x2652)+~P2(x2651)+P3(f7(x2651,x2652),f39(x2651))+~P7(x2652,f39(x2651))+P6(f34(x2651,x2652))
% 1.29/1.38 [266]~P6(x2662)+~P2(x2661)+P3(f6(x2661,x2662),f39(x2661))+~P7(x2662,f39(x2661))+P6(f34(x2661,x2662))
% 1.29/1.38 [230]P3(x2302,x2301)+~P1(x2301)+~P4(x2302)+~P5(x2301)+E(f3(f36(x2301,x2302)),f43(f3(x2301)))
% 1.29/1.38 [249]~P1(x2491)+~P5(x2491)+~P3(x2492,a41)+~P9(x2492,f3(x2491))+E(f3(f26(x2491,x2492)),x2492)
% 1.29/1.38 [258]E(x2581,x2582)+P3(x2581,f30(x2582))+~P3(x2582,a41)+~P3(x2581,a41)+~P3(x2581,f30(f43(x2582)))
% 1.29/1.38 [270]~P1(x2701)+P3(f28(x2702,x2701),x2701)+~P3(x2702,a41)+E(x2701,f30(x2702))+P9(f43(f28(x2702,x2701)),x2702)
% 1.29/1.38 [272]~P6(x2722)+~P2(x2721)+~P7(x2722,f39(x2721))+P6(f34(x2721,x2722))+E(f31(x2721,f6(x2721,x2722)),f31(x2721,f7(x2721,x2722)))
% 1.29/1.38 [216]~P3(x2163,x2161)+P9(x2162,x2163)+~E(x2162,f2(x2161))+~P7(x2161,a41)+E(x2161,a37)
% 1.29/1.38 [244]P3(x2441,x2442)+~P3(x2443,a41)+~P3(x2441,a41)+~P9(f43(x2441),x2443)+~E(x2442,f30(x2443))
% 1.29/1.38 [277]~P1(x2771)+~P5(x2773)+~P3(x2772,a41)+~P7(x2773,f38(x2771,x2772))+P5(f9(x2771,x2772,x2773))
% 1.29/1.38 [279]~P1(x2791)+~P5(x2793)+~P3(x2792,a41)+~P7(x2793,f38(x2791,x2792))+P7(f9(x2791,x2792,x2793),x2791)
% 1.29/1.38 [298]~P1(x2982)+~P5(x2981)+~P3(x2983,a41)+~P7(x2981,f38(x2982,x2983))+P7(x2981,f38(f9(x2982,x2983,x2981),x2983))
% 1.29/1.38 [210]~P1(x2104)+~P4(x2102)+~P3(x2101,x2103)+~E(x2101,x2102)+~E(x2103,f35(x2104,x2102))
% 1.29/1.38 [212]~P1(x2123)+~P4(x2124)+~P3(x2121,x2122)+P4(x2121)+~E(x2122,f36(x2123,x2124))
% 1.29/1.38 [213]~P1(x2133)+~P4(x2134)+~P3(x2131,x2132)+P4(x2131)+~E(x2132,f35(x2133,x2134))
% 1.29/1.38 [227]~P1(x2272)+~P4(x2274)+~P3(x2271,x2273)+P3(x2271,x2272)+~E(x2273,f35(x2272,x2274))
% 1.29/1.38 [229]~P4(x2293)+~P2(x2291)+~P3(x2292,x2294)+E(f31(x2291,x2292),x2293)+~E(x2294,f32(x2291,x2293))
% 1.29/1.38 [233]~P1(x2334)+~P3(x2331,x2333)+~P3(x2332,a41)+E(f3(x2331),x2332)+~E(x2333,f38(x2334,x2332))
% 1.29/1.38 [235]~P4(x2354)+~P2(x2352)+~P3(x2351,x2353)+P3(x2351,f39(x2352))+~E(x2353,f32(x2352,x2354))
% 1.29/1.38 [239]~P1(x2392)+~P3(x2391,x2393)+P7(x2391,x2392)+~P3(x2394,a41)+~E(x2393,f38(x2392,x2394))
% 1.29/1.38 [257]~P2(x2573)+~P3(x2572,x2574)+~P7(x2574,f39(x2573))+E(f31(x2571,x2572),f31(x2573,x2572))+~E(x2571,f33(x2573,x2574))
% 1.29/1.38 [304]~P2(x3041)+~P3(x3044,x3043)+~E(x3043,f34(x3041,x3042))+~P7(x3042,f39(x3041))+P3(f13(x3041,x3042,x3043,x3044),x3042)
% 1.29/1.38 [305]~P2(x3051)+~P3(x3054,x3053)+~E(x3053,f34(x3051,x3052))+~P7(x3052,f39(x3051))+E(f31(x3051,f13(x3051,x3052,x3053,x3054)),x3054)
% 1.29/1.38 [248]~P5(x2481)+~P3(x2482,x2481)+P3(f27(x2481,x2482),x2481)+~P7(x2481,a41)+E(x2481,a37)+E(x2482,f42(x2481))
% 1.29/1.38 [261]~P5(x2611)+~P3(x2612,x2611)+~P7(x2611,a41)+~P9(f27(x2611,x2612),x2612)+E(x2611,a37)+E(x2612,f42(x2611))
% 1.29/1.38 [286]~P1(x2861)+~P3(x2862,a41)+~P3(f28(x2862,x2861),x2861)+E(x2861,f30(x2862))+~P3(f28(x2862,x2861),a41)+~P9(f43(f28(x2862,x2861)),x2862)
% 1.29/1.38 [234]~P1(x2342)+~P1(x2341)+~P7(x2343,x2342)+~P7(x2341,x2343)+P7(x2341,x2342)+~P1(x2343)
% 1.29/1.38 [262]~P9(x2621,x2623)+P9(x2621,x2622)+~P9(x2623,x2622)+~P3(x2622,a41)+~P3(x2623,a41)+~P3(x2621,a41)
% 1.29/1.38 [226]~P5(x2261)+~P3(x2262,x2261)+P9(x2262,x2263)+~E(x2263,f42(x2261))+~P7(x2261,a41)+E(x2261,a37)
% 1.29/1.38 [275]~P2(x2751)+~P2(x2752)+P3(f8(x2752,x2753,x2751),x2753)+~E(f39(x2751),x2753)+~P7(x2753,f39(x2752))+E(x2751,f33(x2752,x2753))
% 1.29/1.38 [282]~P1(x2821)+~P1(x2822)+~P4(x2823)+P3(f23(x2822,x2823,x2821),x2821)+~E(f23(x2822,x2823,x2821),x2823)+E(x2821,f35(x2822,x2823))
% 1.29/1.38 [284]~P1(x2841)+~P1(x2842)+~P4(x2843)+P3(f24(x2842,x2843,x2841),x2841)+E(x2841,f36(x2842,x2843))+P4(f24(x2842,x2843,x2841))
% 1.29/1.38 [285]~P1(x2851)+~P1(x2852)+~P4(x2853)+P3(f23(x2852,x2853,x2851),x2851)+E(x2851,f35(x2852,x2853))+P4(f23(x2852,x2853,x2851))
% 1.29/1.38 [287]~P1(x2871)+~P1(x2872)+~P4(x2873)+P3(f23(x2872,x2873,x2871),x2871)+P3(f23(x2872,x2873,x2871),x2872)+E(x2871,f35(x2872,x2873))
% 1.29/1.38 [290]~P1(x2901)+~P4(x2903)+~P2(x2902)+P3(f11(x2902,x2903,x2901),x2901)+P3(f11(x2902,x2903,x2901),f39(x2902))+E(x2901,f32(x2902,x2903))
% 1.29/1.38 [291]~P1(x2911)+~P1(x2912)+P3(f10(x2912,x2913,x2911),x2911)+P7(f10(x2912,x2913,x2911),x2912)+~P3(x2913,a41)+E(x2911,f38(x2912,x2913))
% 1.29/1.38 [294]~P1(x2941)+~P2(x2942)+P3(f12(x2942,x2943,x2941),x2941)+P3(f14(x2942,x2943,x2941),x2943)+~P7(x2943,f39(x2942))+E(x2941,f34(x2942,x2943))
% 1.29/1.38 [288]~P1(x2881)+~P4(x2883)+~P2(x2882)+P3(f11(x2882,x2883,x2881),x2881)+E(x2881,f32(x2882,x2883))+E(f31(x2882,f11(x2882,x2883,x2881)),x2883)
% 1.29/1.38 [289]~P1(x2891)+~P1(x2892)+P3(f10(x2892,x2893,x2891),x2891)+~P3(x2893,a41)+E(x2891,f38(x2892,x2893))+E(f3(f10(x2892,x2893,x2891)),x2893)
% 1.29/1.38 [299]~P1(x2991)+~P2(x2992)+P3(f12(x2992,x2993,x2991),x2991)+~P7(x2993,f39(x2992))+E(x2991,f34(x2992,x2993))+E(f31(x2992,f14(x2992,x2993,x2991)),f12(x2992,x2993,x2991))
% 1.29/1.38 [301]~P2(x3012)+~P2(x3011)+~E(f39(x3011),x3013)+~P7(x3013,f39(x3012))+E(x3011,f33(x3012,x3013))+~E(f31(x3011,f8(x3012,x3013,x3011)),f31(x3012,f8(x3012,x3013,x3011)))
% 1.29/1.38 [310]~P1(x3101)+~P6(x3103)+~P3(x3102,a41)+~P3(x3101,f38(x3103,a50))+~P7(x3103,f35(f31(a47,x3102),f2(f31(a47,x3102))))+P3(x3101,f38(f35(f31(a47,x3102),f2(f31(a47,x3102))),a50))
% 1.29/1.38 [207]~P1(x2074)+~P4(x2073)+~P4(x2071)+P3(x2071,x2072)+~E(x2071,x2073)+~E(x2072,f36(x2074,x2073))
% 1.29/1.38 [232]~P1(x2323)+~P4(x2322)+~P3(x2321,x2324)+E(x2321,x2322)+P3(x2321,x2323)+~E(x2324,f36(x2323,x2322))
% 1.29/1.38 [236]~P1(x2363)+~P4(x2364)+~P4(x2361)+~P3(x2361,x2363)+P3(x2361,x2362)+~E(x2362,f36(x2363,x2364))
% 1.29/1.38 [247]~P1(x2474)+~P7(x2471,x2474)+P3(x2471,x2472)+~P3(x2473,a41)+~E(x2472,f38(x2474,x2473))+~E(f3(x2471),x2473)
% 1.29/1.38 [254]~P4(x2544)+~P2(x2543)+P3(x2541,x2542)+~E(f31(x2543,x2541),x2544)+~P3(x2541,f39(x2543))+~E(x2542,f32(x2543,x2544))
% 1.29/1.38 [267]~P2(x2673)+~P3(x2675,x2674)+P3(x2671,x2672)+~P7(x2674,f39(x2673))+~E(x2672,f34(x2673,x2674))+~E(f31(x2673,x2675),x2671)
% 1.29/1.38 [259]E(f2(x2592),f2(x2591))+~P7(x2591,a41)+~P7(x2592,a41)+~P3(f2(x2591),x2592)+~P3(f2(x2592),x2591)+E(x2591,a37)+E(x2592,a37)
% 1.29/1.38 [274]~P1(x2743)+~P1(x2742)+P7(x2742,x2743)+~P3(x2741,a41)+~P7(f38(x2742,x2741),f38(x2743,x2741))+E(x2741,a29)+E(f38(x2742,x2741),a37)
% 1.29/1.38 [296]~P1(x2961)+~P1(x2962)+~P4(x2963)+E(f24(x2962,x2963,x2961),x2963)+P3(f24(x2962,x2963,x2961),x2961)+P3(f24(x2962,x2963,x2961),x2962)+E(x2961,f36(x2962,x2963))
% 1.29/1.38 [302]~P1(x3021)+~P1(x3022)+~P4(x3023)+~E(f24(x3022,x3023,x3021),x3023)+~P3(f24(x3022,x3023,x3021),x3021)+E(x3021,f36(x3022,x3023))+~P4(f24(x3022,x3023,x3021))
% 1.29/1.38 [303]~P1(x3031)+~P1(x3032)+~P4(x3033)+~P3(f24(x3032,x3033,x3031),x3031)+~P3(f24(x3032,x3033,x3031),x3032)+E(x3031,f36(x3032,x3033))+~P4(f24(x3032,x3033,x3031))
% 1.29/1.38 [306]~P1(x3061)+~P1(x3062)+~P3(x3063,a41)+~P3(f10(x3062,x3063,x3061),x3061)+~P7(f10(x3062,x3063,x3061),x3062)+E(x3061,f38(x3062,x3063))+~E(f3(f10(x3062,x3063,x3061)),x3063)
% 1.29/1.38 [307]~P1(x3071)+~P4(x3073)+~P2(x3072)+~P3(f11(x3072,x3073,x3071),x3071)+~P3(f11(x3072,x3073,x3071),f39(x3072))+E(x3071,f32(x3072,x3073))+~E(f31(x3072,f11(x3072,x3073,x3071)),x3073)
% 1.29/1.38 [237]~P1(x2374)+~P4(x2372)+~P4(x2371)+~P3(x2371,x2374)+E(x2371,x2372)+P3(x2371,x2373)+~E(x2373,f35(x2374,x2372))
% 1.29/1.38 [300]~P1(x3001)+~P2(x3002)+~P3(x3004,x3003)+~P7(x3003,f39(x3002))+~P3(f12(x3002,x3003,x3001),x3001)+~E(f31(x3002,x3004),f12(x3002,x3003,x3001))+E(x3001,f34(x3002,x3003))
% 1.29/1.38 [308]~P1(x3081)+~P1(x3082)+~P4(x3083)+E(f23(x3082,x3083,x3081),x3083)+~P3(f23(x3082,x3083,x3081),x3081)+~P3(f23(x3082,x3083,x3081),x3082)+E(x3081,f35(x3082,x3083))+~P4(f23(x3082,x3083,x3081))
% 1.29/1.38 [292]~P6(x2922)+~P2(x2923)+~E(f39(x2923),f38(x2922,x2921))+~P3(x2921,a41)+~P7(x2922,a41)+~P8(x2921,a44)+P6(f17(x2921,x2922,x2923))+~P7(f34(x2923,f39(x2923)),a53)
% 1.29/1.38 [293]~P6(x2932)+~P2(x2933)+~E(f39(x2933),f38(x2932,x2931))+~P3(x2931,a41)+~P7(x2932,a41)+~P8(x2931,a44)+P3(f18(x2931,x2932,x2933),a53)+~P7(f34(x2933,f39(x2933)),a53)
% 1.29/1.38 [295]~P6(x2952)+~P2(x2953)+~E(f39(x2953),f38(x2952,x2951))+~P3(x2951,a41)+~P7(x2952,a41)+~P8(x2951,a44)+P7(f17(x2951,x2952,x2953),x2952)+~P7(f34(x2953,f39(x2953)),a53)
% 1.29/1.38 [309]~P6(x3094)+~P2(x3091)+~E(f39(x3091),f38(x3094,x3093))+~P3(x3093,a41)+~P7(x3094,a41)+~P8(x3093,a44)+E(f31(x3091,x3092),f18(x3093,x3094,x3091))+~P3(x3092,f38(f17(x3093,x3094,x3091),x3093))+~P7(f34(x3091,f39(x3091)),a53)
% 1.29/1.38 %EqnAxiom
% 1.29/1.38 [1]E(x11,x11)
% 1.29/1.38 [2]E(x22,x21)+~E(x21,x22)
% 1.29/1.38 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.29/1.38 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.29/1.38 [5]~E(x51,x52)+E(f43(x51),f43(x52))
% 1.29/1.38 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 1.29/1.38 [7]~E(x71,x72)+E(f30(x71),f30(x72))
% 1.29/1.38 [8]~E(x81,x82)+E(f39(x81),f39(x82))
% 1.29/1.38 [9]~E(x91,x92)+E(f9(x91,x93,x94),f9(x92,x93,x94))
% 1.29/1.38 [10]~E(x101,x102)+E(f9(x103,x101,x104),f9(x103,x102,x104))
% 1.29/1.38 [11]~E(x111,x112)+E(f9(x113,x114,x111),f9(x113,x114,x112))
% 1.29/1.38 [12]~E(x121,x122)+E(f31(x121,x123),f31(x122,x123))
% 1.29/1.38 [13]~E(x131,x132)+E(f31(x133,x131),f31(x133,x132))
% 1.29/1.38 [14]~E(x141,x142)+E(f28(x141,x143),f28(x142,x143))
% 1.29/1.38 [15]~E(x151,x152)+E(f28(x153,x151),f28(x153,x152))
% 1.29/1.38 [16]~E(x161,x162)+E(f38(x161,x163),f38(x162,x163))
% 1.29/1.38 [17]~E(x171,x172)+E(f38(x173,x171),f38(x173,x172))
% 1.29/1.38 [18]~E(x181,x182)+E(f23(x181,x183,x184),f23(x182,x183,x184))
% 1.29/1.38 [19]~E(x191,x192)+E(f23(x193,x191,x194),f23(x193,x192,x194))
% 1.29/1.38 [20]~E(x201,x202)+E(f23(x203,x204,x201),f23(x203,x204,x202))
% 1.29/1.38 [21]~E(x211,x212)+E(f25(x211,x213),f25(x212,x213))
% 1.29/1.38 [22]~E(x221,x222)+E(f25(x223,x221),f25(x223,x222))
% 1.29/1.38 [23]~E(x231,x232)+E(f11(x231,x233,x234),f11(x232,x233,x234))
% 1.29/1.38 [24]~E(x241,x242)+E(f11(x243,x241,x244),f11(x243,x242,x244))
% 1.29/1.38 [25]~E(x251,x252)+E(f11(x253,x254,x251),f11(x253,x254,x252))
% 1.29/1.38 [26]~E(x261,x262)+E(f35(x261,x263),f35(x262,x263))
% 1.29/1.38 [27]~E(x271,x272)+E(f35(x273,x271),f35(x273,x272))
% 1.29/1.38 [28]~E(x281,x282)+E(f34(x281,x283),f34(x282,x283))
% 1.29/1.38 [29]~E(x291,x292)+E(f34(x293,x291),f34(x293,x292))
% 1.29/1.38 [30]~E(x301,x302)+E(f40(x301),f40(x302))
% 1.29/1.38 [31]~E(x311,x312)+E(f10(x311,x313,x314),f10(x312,x313,x314))
% 1.29/1.38 [32]~E(x321,x322)+E(f10(x323,x321,x324),f10(x323,x322,x324))
% 1.29/1.38 [33]~E(x331,x332)+E(f10(x333,x334,x331),f10(x333,x334,x332))
% 1.29/1.38 [34]~E(x341,x342)+E(f6(x341,x343),f6(x342,x343))
% 1.29/1.38 [35]~E(x351,x352)+E(f6(x353,x351),f6(x353,x352))
% 1.29/1.38 [36]~E(x361,x362)+E(f24(x361,x363,x364),f24(x362,x363,x364))
% 1.29/1.38 [37]~E(x371,x372)+E(f24(x373,x371,x374),f24(x373,x372,x374))
% 1.29/1.38 [38]~E(x381,x382)+E(f24(x383,x384,x381),f24(x383,x384,x382))
% 1.29/1.38 [39]~E(x391,x392)+E(f22(x391,x393),f22(x392,x393))
% 1.29/1.38 [40]~E(x401,x402)+E(f22(x403,x401),f22(x403,x402))
% 1.29/1.38 [41]~E(x411,x412)+E(f33(x411,x413),f33(x412,x413))
% 1.29/1.38 [42]~E(x421,x422)+E(f33(x423,x421),f33(x423,x422))
% 1.29/1.38 [43]~E(x431,x432)+E(f16(x431),f16(x432))
% 1.29/1.38 [44]~E(x441,x442)+E(f36(x441,x443),f36(x442,x443))
% 1.29/1.38 [45]~E(x451,x452)+E(f36(x453,x451),f36(x453,x452))
% 1.29/1.38 [46]~E(x461,x462)+E(f18(x461,x463,x464),f18(x462,x463,x464))
% 1.29/1.38 [47]~E(x471,x472)+E(f18(x473,x471,x474),f18(x473,x472,x474))
% 1.29/1.38 [48]~E(x481,x482)+E(f18(x483,x484,x481),f18(x483,x484,x482))
% 1.29/1.38 [49]~E(x491,x492)+E(f42(x491),f42(x492))
% 1.29/1.38 [50]~E(x501,x502)+E(f32(x501,x503),f32(x502,x503))
% 1.29/1.38 [51]~E(x511,x512)+E(f32(x513,x511),f32(x513,x512))
% 1.29/1.38 [52]~E(x521,x522)+E(f15(x521),f15(x522))
% 1.29/1.38 [53]~E(x531,x532)+E(f5(x531),f5(x532))
% 1.29/1.38 [54]~E(x541,x542)+E(f12(x541,x543,x544),f12(x542,x543,x544))
% 1.29/1.38 [55]~E(x551,x552)+E(f12(x553,x551,x554),f12(x553,x552,x554))
% 1.29/1.38 [56]~E(x561,x562)+E(f12(x563,x564,x561),f12(x563,x564,x562))
% 1.29/1.38 [57]~E(x571,x572)+E(f26(x571,x573),f26(x572,x573))
% 1.29/1.38 [58]~E(x581,x582)+E(f26(x583,x581),f26(x583,x582))
% 1.29/1.38 [59]~E(x591,x592)+E(f7(x591,x593),f7(x592,x593))
% 1.29/1.38 [60]~E(x601,x602)+E(f7(x603,x601),f7(x603,x602))
% 1.29/1.38 [61]~E(x611,x612)+E(f17(x611,x613,x614),f17(x612,x613,x614))
% 1.29/1.38 [62]~E(x621,x622)+E(f17(x623,x621,x624),f17(x623,x622,x624))
% 1.29/1.38 [63]~E(x631,x632)+E(f17(x633,x634,x631),f17(x633,x634,x632))
% 1.29/1.38 [64]~E(x641,x642)+E(f27(x641,x643),f27(x642,x643))
% 1.29/1.38 [65]~E(x651,x652)+E(f27(x653,x651),f27(x653,x652))
% 1.29/1.38 [66]~E(x661,x662)+E(f14(x661,x663,x664),f14(x662,x663,x664))
% 1.29/1.38 [67]~E(x671,x672)+E(f14(x673,x671,x674),f14(x673,x672,x674))
% 1.29/1.38 [68]~E(x681,x682)+E(f14(x683,x684,x681),f14(x683,x684,x682))
% 1.29/1.38 [69]~E(x691,x692)+E(f8(x691,x693,x694),f8(x692,x693,x694))
% 1.29/1.38 [70]~E(x701,x702)+E(f8(x703,x701,x704),f8(x703,x702,x704))
% 1.29/1.38 [71]~E(x711,x712)+E(f8(x713,x714,x711),f8(x713,x714,x712))
% 1.29/1.38 [72]~E(x721,x722)+E(f13(x721,x723,x724,x725),f13(x722,x723,x724,x725))
% 1.29/1.38 [73]~E(x731,x732)+E(f13(x733,x731,x734,x735),f13(x733,x732,x734,x735))
% 1.29/1.38 [74]~E(x741,x742)+E(f13(x743,x744,x741,x745),f13(x743,x744,x742,x745))
% 1.29/1.38 [75]~E(x751,x752)+E(f13(x753,x754,x755,x751),f13(x753,x754,x755,x752))
% 1.29/1.38 [76]~E(x761,x762)+E(f19(x761),f19(x762))
% 1.29/1.38 [77]~E(x771,x772)+E(f4(x771),f4(x772))
% 1.29/1.38 [78]~E(x781,x782)+E(f21(x781),f21(x782))
% 1.29/1.38 [79]~E(x791,x792)+E(f20(x791),f20(x792))
% 1.29/1.38 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 1.29/1.38 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 1.29/1.38 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 1.29/1.38 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 1.29/1.38 [84]~P4(x841)+P4(x842)+~E(x841,x842)
% 1.29/1.38 [85]~P2(x851)+P2(x852)+~E(x851,x852)
% 1.29/1.38 [86]~P5(x861)+P5(x862)+~E(x861,x862)
% 1.29/1.38 [87]P7(x872,x873)+~E(x871,x872)+~P7(x871,x873)
% 1.29/1.38 [88]P7(x883,x882)+~E(x881,x882)+~P7(x883,x881)
% 1.29/1.38 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 1.29/1.38 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 1.29/1.38 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 1.29/1.38 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 1.29/1.38
% 1.29/1.38 %-------------------------------------------
% 1.29/1.38 cnf(314,plain,
% 1.29/1.38 (P9(a29,a29)),
% 1.29/1.38 inference(scs_inference,[],[119,93,2,175])).
% 1.29/1.38 cnf(316,plain,
% 1.29/1.38 (~P3(x3161,f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[119,93,96,2,175,162])).
% 1.29/1.38 cnf(318,plain,
% 1.29/1.38 (P1(f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[119,93,96,2,175,162,154])).
% 1.29/1.38 cnf(320,plain,
% 1.29/1.38 (~E(a41,f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[119,93,96,2,175,162,154,82])).
% 1.29/1.38 cnf(322,plain,
% 1.29/1.38 (P1(a37)),
% 1.29/1.38 inference(scs_inference,[],[119,122,93,96,2,175,162,154,82,81,80])).
% 1.29/1.38 cnf(324,plain,
% 1.29/1.38 (~P5(a41)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,122,149,93,94,96,2,175,162,154,82,81,80,3,160])).
% 1.29/1.38 cnf(328,plain,
% 1.29/1.38 (P3(a49,a41)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,122,123,131,149,93,94,96,2,175,162,154,82,81,80,3,160,157,215])).
% 1.29/1.38 cnf(330,plain,
% 1.29/1.38 (~P9(a56,a57)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264])).
% 1.29/1.38 cnf(332,plain,
% 1.29/1.38 (P9(f43(a29),f43(a29))),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241])).
% 1.29/1.38 cnf(334,plain,
% 1.29/1.38 (P7(f30(a29),f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240])).
% 1.29/1.38 cnf(336,plain,
% 1.29/1.38 (P9(a29,a44)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169])).
% 1.29/1.38 cnf(338,plain,
% 1.29/1.38 (P7(a41,a41)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161])).
% 1.29/1.38 cnf(342,plain,
% 1.29/1.38 (P7(f31(a47,a29),a41)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201])).
% 1.29/1.38 cnf(344,plain,
% 1.29/1.38 (~P9(f43(a29),a29)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193])).
% 1.29/1.38 cnf(348,plain,
% 1.29/1.38 (P6(f31(a47,a29))),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191])).
% 1.29/1.38 cnf(358,plain,
% 1.29/1.38 (P3(f20(a29),a53)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178])).
% 1.29/1.38 cnf(362,plain,
% 1.29/1.38 (P3(f43(a29),a41)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176])).
% 1.29/1.38 cnf(364,plain,
% 1.29/1.38 (E(f3(f30(a29)),a29)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168])).
% 1.29/1.38 cnf(368,plain,
% 1.29/1.38 (P5(f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166])).
% 1.29/1.38 cnf(370,plain,
% 1.29/1.38 (~E(f43(a29),a29)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164])).
% 1.29/1.38 cnf(372,plain,
% 1.29/1.38 (~E(f43(a44),a29)),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163])).
% 1.29/1.38 cnf(374,plain,
% 1.29/1.38 (P4(f3(a41))),
% 1.29/1.38 inference(scs_inference,[],[101,108,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159])).
% 1.29/1.38 cnf(440,plain,
% 1.29/1.38 (E(f38(x4401,f2(a1)),f38(x4401,a49))),
% 1.29/1.38 inference(scs_inference,[],[101,108,111,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 1.29/1.38 cnf(463,plain,
% 1.29/1.38 (~E(a29,f43(a29))),
% 1.29/1.38 inference(scs_inference,[],[101,108,111,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89])).
% 1.29/1.38 cnf(466,plain,
% 1.29/1.38 (P4(a29)),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174])).
% 1.29/1.38 cnf(468,plain,
% 1.29/1.38 (P1(a54)),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173])).
% 1.29/1.38 cnf(470,plain,
% 1.29/1.38 (P1(f30(f2(a1)))),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171])).
% 1.29/1.38 cnf(472,plain,
% 1.29/1.38 (~P3(f3(a41),a41)),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171,184])).
% 1.29/1.38 cnf(474,plain,
% 1.29/1.38 (P3(f19(f43(a29)),a41)),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171,184,183])).
% 1.29/1.38 cnf(478,plain,
% 1.29/1.38 (E(f43(f19(f43(a29))),f43(a29))),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171,184,183,172,170])).
% 1.29/1.38 cnf(484,plain,
% 1.29/1.38 (P4(f31(a55,a1))),
% 1.29/1.38 inference(scs_inference,[],[101,106,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,138,152,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171,184,183,172,170,205,224,222])).
% 1.29/1.38 cnf(490,plain,
% 1.29/1.38 (~P3(f3(a41),f30(f2(a1)))),
% 1.29/1.38 inference(scs_inference,[],[101,102,106,107,108,109,111,119,120,122,123,124,128,129,131,149,93,94,96,138,152,146,2,175,162,154,82,81,80,3,160,157,215,264,241,240,169,161,221,201,193,192,191,182,181,180,179,178,177,176,168,167,166,164,163,159,158,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,276,203,280,278,90,89,86,83,174,173,171,184,183,172,170,205,224,222,260,185,209])).
% 1.29/1.38 cnf(552,plain,
% 1.29/1.38 (~P9(a44,a29)),
% 1.29/1.38 inference(scs_inference,[],[149,120,119,336,268,202,238])).
% 1.29/1.38 cnf(554,plain,
% 1.29/1.38 (P4(a50)),
% 1.29/1.38 inference(scs_inference,[],[121,149,120,101,119,336,268,202,238,174])).
% 1.29/1.38 cnf(556,plain,
% 1.29/1.38 (~P5(a48)),
% 1.29/1.38 inference(scs_inference,[],[104,110,121,149,120,101,119,336,268,202,238,174,160])).
% 1.29/1.38 cnf(564,plain,
% 1.29/1.38 (~P3(f3(a41),a54)),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,129,149,120,102,107,101,119,374,472,336,268,202,238,174,160,157,172,205,215])).
% 1.29/1.38 cnf(584,plain,
% 1.29/1.38 (~P3(x5841,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(588,plain,
% 1.29/1.38 (~E(a41,f35(f30(a29),f3(a41)))),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,129,149,120,102,107,101,119,314,348,440,316,584,332,318,374,342,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227])).
% 1.29/1.38 cnf(596,plain,
% 1.29/1.38 (~E(a41,a37)),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,150,129,149,120,102,107,101,119,314,348,440,316,584,332,320,370,318,374,342,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162])).
% 1.29/1.38 cnf(599,plain,
% 1.29/1.38 (~P9(f43(a29),f3(f30(a29)))),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,150,129,149,120,102,107,101,119,314,348,440,316,584,332,364,320,370,318,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90])).
% 1.29/1.38 cnf(600,plain,
% 1.29/1.38 (P7(f30(a29),a37)),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,150,129,149,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88])).
% 1.29/1.38 cnf(601,plain,
% 1.29/1.38 (P7(a37,f30(a29))),
% 1.29/1.38 inference(scs_inference,[],[104,110,112,121,150,129,149,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88,87])).
% 1.29/1.38 cnf(605,plain,
% 1.29/1.38 (P1(a1)),
% 1.29/1.38 inference(scs_inference,[],[151,104,110,112,121,125,132,150,116,129,149,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88,87,82,81,3,173])).
% 1.29/1.38 cnf(607,plain,
% 1.29/1.38 (~P3(f3(a48),a41)),
% 1.29/1.38 inference(scs_inference,[],[151,104,110,112,121,125,132,150,116,129,149,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88,87,82,81,3,173,184])).
% 1.29/1.38 cnf(615,plain,
% 1.29/1.38 (P9(f43(a29),a44)),
% 1.29/1.38 inference(scs_inference,[],[151,104,110,112,121,125,132,150,116,147,129,149,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88,87,82,81,3,173,184,165,224,185,228])).
% 1.29/1.38 cnf(627,plain,
% 1.29/1.38 (~P9(f43(a50),a29)),
% 1.29/1.38 inference(scs_inference,[],[151,104,110,112,121,125,132,150,116,147,129,149,94,139,120,102,107,96,101,119,314,348,440,316,584,332,364,320,370,318,334,374,342,344,362,472,324,328,336,268,202,238,174,160,157,172,205,215,200,211,198,197,195,264,241,240,223,273,227,214,255,2,162,4,90,88,87,82,81,3,173,184,165,224,185,228,199,196,208,251,297,89])).
% 1.29/1.38 cnf(684,plain,
% 1.29/1.38 (~E(f30(a29),f38(a48,a50))),
% 1.29/1.38 inference(scs_inference,[],[133,95,121,104,316,247])).
% 1.29/1.38 cnf(685,plain,
% 1.29/1.38 (~P3(x6851,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(689,plain,
% 1.29/1.38 (~P3(x6891,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(696,plain,
% 1.29/1.38 (~P3(x6961,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(702,plain,
% 1.29/1.38 (~E(a54,a37)),
% 1.29/1.38 inference(scs_inference,[],[105,133,95,109,121,106,104,119,484,463,607,468,596,316,685,689,338,322,362,318,247,287,268,189,220,202,160,157])).
% 1.29/1.38 cnf(709,plain,
% 1.29/1.38 (~P3(x7091,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(711,plain,
% 1.29/1.38 (~P3(f3(a41),a48)),
% 1.29/1.38 inference(scs_inference,[],[105,130,133,95,109,125,121,106,102,107,104,119,484,463,564,607,468,596,316,685,689,696,338,368,322,362,318,247,287,268,189,220,202,160,157,211,195,230,215])).
% 1.29/1.38 cnf(730,plain,
% 1.29/1.38 (P9(f43(a57),a56)),
% 1.29/1.38 inference(scs_inference,[],[105,126,130,133,95,109,125,124,120,128,121,106,102,107,104,119,490,599,484,358,463,564,607,615,468,556,596,316,685,689,696,709,470,338,368,330,322,362,318,374,247,287,268,189,220,202,160,157,211,195,230,215,234,199,264,223,251,227,2,90,185,228])).
% 1.29/1.38 cnf(736,plain,
% 1.29/1.38 (~P5(f39(a45))),
% 1.29/1.38 inference(scs_inference,[],[105,126,130,133,95,98,109,146,125,124,120,128,121,106,102,107,104,119,490,599,484,358,463,564,607,615,468,556,596,316,685,689,696,709,470,338,368,330,322,324,362,318,374,247,287,268,189,220,202,160,157,211,195,230,215,234,199,264,223,251,227,2,90,185,228,196,208,86])).
% 1.29/1.38 cnf(787,plain,
% 1.29/1.38 (~P3(x7871,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(791,plain,
% 1.29/1.38 (~P3(x7911,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(793,plain,
% 1.29/1.38 (~E(a44,f2(a41))),
% 1.29/1.38 inference(scs_inference,[],[121,104,119,552,684,466,596,316,787,338,318,291,287,216])).
% 1.29/1.38 cnf(797,plain,
% 1.29/1.38 (E(f19(f43(a29)),a29)),
% 1.29/1.38 inference(scs_inference,[],[129,121,104,119,478,474,552,684,466,702,596,564,316,787,338,318,291,287,216,189,202])).
% 1.29/1.38 cnf(808,plain,
% 1.29/1.38 (~P3(f43(a57),a41)),
% 1.29/1.38 inference(scs_inference,[],[141,153,132,129,128,121,102,107,104,119,478,474,552,684,711,730,466,702,596,564,601,600,316,787,791,338,322,318,291,287,216,189,202,215,206,160,227,264])).
% 1.29/1.38 cnf(812,plain,
% 1.29/1.38 (~E(a44,a29)),
% 1.29/1.38 inference(scs_inference,[],[141,153,132,129,149,128,121,102,107,104,119,478,474,552,684,627,711,730,466,702,596,564,601,600,316,787,791,338,322,318,291,287,216,189,202,215,206,160,227,264,228,2])).
% 1.29/1.38 cnf(868,plain,
% 1.29/1.38 (~P3(x8681,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(872,plain,
% 1.29/1.38 (P3(f19(f43(a29)),f30(f43(f43(a29))))),
% 1.29/1.38 inference(scs_inference,[],[120,101,119,588,797,793,812,474,596,316,338,362,374,318,256,231,170,287,176,252])).
% 1.29/1.38 cnf(877,plain,
% 1.29/1.38 (~P3(x8771,f30(a29))),
% 1.29/1.38 inference(rename_variables,[],[316])).
% 1.29/1.38 cnf(888,plain,
% 1.29/1.38 (~P7(f39(a45),a53)),
% 1.29/1.38 inference(scs_inference,[],[134,127,147,110,120,102,107,104,101,119,588,736,797,372,793,605,812,474,554,596,368,316,868,877,338,362,374,318,256,231,170,287,176,252,183,258,214,230,173,215,185])).
% 1.29/1.38 cnf(936,plain,
% 1.29/1.38 ($false),
% 1.29/1.38 inference(scs_inference,[],[124,102,872,888,808,797,554,440,316,328,466,318,239,210,287,176]),
% 1.29/1.38 ['proof']).
% 1.29/1.38 % SZS output end Proof
% 1.29/1.38 % Total time :0.810000s
%------------------------------------------------------------------------------