TSTP Solution File: NUM539+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n027.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 : 600s
% DateTime : Mon Jul 18 10:58:38 EDT 2022
% Result : Theorem 1.01s 1.19s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(mCardSub,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
input ).
fof(mCardSub_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
inference(orientation,[status(thm)],[mCardSub]) ).
fof(mCardDiff,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aElementOf0(W1,W0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ),
input ).
fof(mCardDiff_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ( isFinite0(W0)
& aElementOf0(W1,W0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ),
inference(orientation,[status(thm)],[mCardDiff]) ).
fof(mCardEmpty,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
input ).
fof(mCardEmpty_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
inference(orientation,[status(thm)],[mCardEmpty]) ).
fof(mCardNum,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
input ).
fof(mCardNum_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
inference(orientation,[status(thm)],[mCardNum]) ).
fof(mCardS,axiom,
! [W0] :
( aSet0(W0)
=> aElement0(sbrdtbr0(W0)) ),
input ).
fof(mCardS_0,plain,
! [W0] :
( ~ aSet0(W0)
| aElement0(sbrdtbr0(W0)) ),
inference(orientation,[status(thm)],[mCardS]) ).
fof(mIH,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
input ).
fof(mIH_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| iLess0(W0,szszuzczcdt0(W0)) ),
inference(orientation,[status(thm)],[mIH]) ).
fof(mLessRefl,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,W0) ),
input ).
fof(mLessRefl_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlseqdt0(W0,W0) ),
inference(orientation,[status(thm)],[mLessRefl]) ).
fof(mLessSucc,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
input ).
fof(mLessSucc_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
inference(orientation,[status(thm)],[mLessSucc]) ).
fof(mNoScLessZr,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
input ).
fof(mNoScLessZr_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
inference(orientation,[status(thm)],[mNoScLessZr]) ).
fof(mZeroLess,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
input ).
fof(mZeroLess_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlseqdt0(sz00,W0) ),
inference(orientation,[status(thm)],[mZeroLess]) ).
fof(mNatNSucc,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> W0 != szszuzczcdt0(W0) ),
input ).
fof(mNatNSucc_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| W0 != szszuzczcdt0(W0) ),
inference(orientation,[status(thm)],[mNatNSucc]) ).
fof(mNatExtra,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 = sz00
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& W0 = szszuzczcdt0(W1) ) ) ),
input ).
fof(mNatExtra_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| W0 = sz00
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& W0 = szszuzczcdt0(W1) ) ),
inference(orientation,[status(thm)],[mNatExtra]) ).
fof(mSuccNum,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
input ).
fof(mSuccNum_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
inference(orientation,[status(thm)],[mSuccNum]) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
input ).
fof(mZeroNum_0,plain,
( aElementOf0(sz00,szNzAzT0)
| $false ),
inference(orientation,[status(thm)],[mZeroNum]) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
input ).
fof(mNATSet_0,plain,
( aSet0(szNzAzT0)
| $false ),
inference(orientation,[status(thm)],[mNATSet]) ).
fof(mNATSet_1,plain,
( isCountable0(szNzAzT0)
| $false ),
inference(orientation,[status(thm)],[mNATSet]) ).
fof(mFDiffSet,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
input ).
fof(mFDiffSet_0,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
inference(orientation,[status(thm)],[mFDiffSet]) ).
fof(mFConsSet,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtpldt0(W1,W0)) ) ),
input ).
fof(mFConsSet_0,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtpldt0(W1,W0)) ) ),
inference(orientation,[status(thm)],[mFConsSet]) ).
fof(mCDiffSet,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
input ).
fof(mCDiffSet_0,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
inference(orientation,[status(thm)],[mCDiffSet]) ).
fof(mCConsSet,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtpldt0(W1,W0)) ) ),
input ).
fof(mCConsSet_0,plain,
! [W0] :
( ~ aElement0(W0)
| ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtpldt0(W1,W0)) ) ),
inference(orientation,[status(thm)],[mCConsSet]) ).
fof(mConsDiff,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ),
input ).
fof(mConsDiff_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ),
inference(orientation,[status(thm)],[mConsDiff]) ).
fof(mSubRefl,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
input ).
fof(mSubRefl_0,plain,
! [W0] :
( ~ aSet0(W0)
| aSubsetOf0(W0,W0) ),
inference(orientation,[status(thm)],[mSubRefl]) ).
fof(mDefSub,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
input ).
fof(mDefSub_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(orientation,[status(thm)],[mDefSub]) ).
fof(mCountNFin_01,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> W0 != slcrc0 ),
input ).
fof(mCountNFin_01_0,plain,
! [W0] :
( W0 != slcrc0
| ~ ( aSet0(W0)
& isCountable0(W0) ) ),
inference(orientation,[status(thm)],[mCountNFin_01]) ).
fof(mCountNFin,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
input ).
fof(mCountNFin_0,plain,
! [W0] :
( ~ isFinite0(W0)
| ~ ( aSet0(W0)
& isCountable0(W0) ) ),
inference(orientation,[status(thm)],[mCountNFin]) ).
fof(mCntRel,axiom,
! [W0] :
( aSet0(W0)
=> ( isCountable0(W0)
=> $true ) ),
input ).
fof(mCntRel_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( isCountable0(W0)
=> $true ) ),
inference(orientation,[status(thm)],[mCntRel]) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
input ).
fof(mEmpFin_0,plain,
( isFinite0(slcrc0)
| $false ),
inference(orientation,[status(thm)],[mEmpFin]) ).
fof(mDefEmp,axiom,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
input ).
fof(mDefEmp_0,plain,
! [W0] :
( W0 = slcrc0
| ~ ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(orientation,[status(thm)],[mDefEmp]) ).
fof(mDefEmp_1,plain,
! [W0] :
( W0 != slcrc0
| ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(orientation,[status(thm)],[mDefEmp]) ).
fof(mFinRel,axiom,
! [W0] :
( aSet0(W0)
=> ( isFinite0(W0)
=> $true ) ),
input ).
fof(mFinRel_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( isFinite0(W0)
=> $true ) ),
inference(orientation,[status(thm)],[mFinRel]) ).
fof(mEOfElem,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
input ).
fof(mEOfElem_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
inference(orientation,[status(thm)],[mEOfElem]) ).
fof(mElmSort,axiom,
! [W0] :
( aElement0(W0)
=> $true ),
input ).
fof(mElmSort_0,plain,
! [W0] :
( ~ aElement0(W0)
| $true ),
inference(orientation,[status(thm)],[mElmSort]) ).
fof(mSetSort,axiom,
! [W0] :
( aSet0(W0)
=> $true ),
input ).
fof(mSetSort_0,plain,
! [W0] :
( ~ aSet0(W0)
| $true ),
inference(orientation,[status(thm)],[mSetSort]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aSet0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mSetSort_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [W0] :
( lhs_atom2(W0)
<=> ~ aElement0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [W0] :
( lhs_atom2(W0)
| $true ),
inference(fold_definition,[status(thm)],[mElmSort_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
inference(fold_definition,[status(thm)],[mEOfElem_0,def_lhs_atom1]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom1(W0)
| ( isFinite0(W0)
=> $true ) ),
inference(fold_definition,[status(thm)],[mFinRel_0,def_lhs_atom1]) ).
fof(def_lhs_atom3,axiom,
! [W0] :
( lhs_atom3(W0)
<=> W0 != slcrc0 ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0] :
( lhs_atom3(W0)
| ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(fold_definition,[status(thm)],[mDefEmp_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [W0] :
( lhs_atom4(W0)
<=> W0 = slcrc0 ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [W0] :
( lhs_atom4(W0)
| ~ ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(fold_definition,[status(thm)],[mDefEmp_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> isFinite0(slcrc0) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[mEmpFin_0,def_lhs_atom5]) ).
fof(to_be_clausified_7,plain,
! [W0] :
( lhs_atom1(W0)
| ( isCountable0(W0)
=> $true ) ),
inference(fold_definition,[status(thm)],[mCntRel_0,def_lhs_atom1]) ).
fof(def_lhs_atom6,axiom,
! [W0] :
( lhs_atom6(W0)
<=> ~ isFinite0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom6(W0)
| ~ ( aSet0(W0)
& isCountable0(W0) ) ),
inference(fold_definition,[status(thm)],[mCountNFin_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [W0] :
( lhs_atom7(W0)
<=> W0 != slcrc0 ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [W0] :
( lhs_atom7(W0)
| ~ ( aSet0(W0)
& isCountable0(W0) ) ),
inference(fold_definition,[status(thm)],[mCountNFin_01_0,def_lhs_atom7]) ).
fof(to_be_clausified_10,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefSub_0,def_lhs_atom1]) ).
fof(to_be_clausified_11,plain,
! [W0] :
( lhs_atom1(W0)
| aSubsetOf0(W0,W0) ),
inference(fold_definition,[status(thm)],[mSubRefl_0,def_lhs_atom1]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ),
inference(fold_definition,[status(thm)],[mConsDiff_0,def_lhs_atom1]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom2(W0)
| ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtpldt0(W1,W0)) ) ),
inference(fold_definition,[status(thm)],[mCConsSet_0,def_lhs_atom2]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom2(W0)
| ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
inference(fold_definition,[status(thm)],[mCDiffSet_0,def_lhs_atom2]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom2(W0)
| ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtpldt0(W1,W0)) ) ),
inference(fold_definition,[status(thm)],[mFConsSet_0,def_lhs_atom2]) ).
fof(to_be_clausified_16,plain,
! [W0] :
( lhs_atom2(W0)
| ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
inference(fold_definition,[status(thm)],[mFDiffSet_0,def_lhs_atom2]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> isCountable0(szNzAzT0) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[mNATSet_1,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> aSet0(szNzAzT0) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[mNATSet_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> aElementOf0(sz00,szNzAzT0) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[mZeroNum_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [W0] :
( lhs_atom11(W0)
<=> ~ aElementOf0(W0,szNzAzT0) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [W0] :
( lhs_atom11(W0)
| ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
inference(fold_definition,[status(thm)],[mSuccNum_0,def_lhs_atom11]) ).
fof(to_be_clausified_21,plain,
! [W0] :
( lhs_atom11(W0)
| W0 = sz00
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& W0 = szszuzczcdt0(W1) ) ),
inference(fold_definition,[status(thm)],[mNatExtra_0,def_lhs_atom11]) ).
fof(to_be_clausified_22,plain,
! [W0] :
( lhs_atom11(W0)
| W0 != szszuzczcdt0(W0) ),
inference(fold_definition,[status(thm)],[mNatNSucc_0,def_lhs_atom11]) ).
fof(to_be_clausified_23,plain,
! [W0] :
( lhs_atom11(W0)
| sdtlseqdt0(sz00,W0) ),
inference(fold_definition,[status(thm)],[mZeroLess_0,def_lhs_atom11]) ).
fof(to_be_clausified_24,plain,
! [W0] :
( lhs_atom11(W0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
inference(fold_definition,[status(thm)],[mNoScLessZr_0,def_lhs_atom11]) ).
fof(to_be_clausified_25,plain,
! [W0] :
( lhs_atom11(W0)
| sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
inference(fold_definition,[status(thm)],[mLessSucc_0,def_lhs_atom11]) ).
fof(to_be_clausified_26,plain,
! [W0] :
( lhs_atom11(W0)
| sdtlseqdt0(W0,W0) ),
inference(fold_definition,[status(thm)],[mLessRefl_0,def_lhs_atom11]) ).
fof(to_be_clausified_27,plain,
! [W0] :
( lhs_atom11(W0)
| iLess0(W0,szszuzczcdt0(W0)) ),
inference(fold_definition,[status(thm)],[mIH_0,def_lhs_atom11]) ).
fof(to_be_clausified_28,plain,
! [W0] :
( lhs_atom1(W0)
| aElement0(sbrdtbr0(W0)) ),
inference(fold_definition,[status(thm)],[mCardS_0,def_lhs_atom1]) ).
fof(to_be_clausified_29,plain,
! [W0] :
( lhs_atom1(W0)
| ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
inference(fold_definition,[status(thm)],[mCardNum_0,def_lhs_atom1]) ).
fof(to_be_clausified_30,plain,
! [W0] :
( lhs_atom1(W0)
| ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
inference(fold_definition,[status(thm)],[mCardEmpty_0,def_lhs_atom1]) ).
fof(to_be_clausified_31,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( ( isFinite0(W0)
& aElementOf0(W1,W0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ),
inference(fold_definition,[status(thm)],[mCardDiff_0,def_lhs_atom1]) ).
fof(to_be_clausified_32,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
inference(fold_definition,[status(thm)],[mCardSub_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_4,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_5,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_6,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_7,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom1(X1)
| ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom11(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom4(X1)
| ~ ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom3(X1)
| ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom11(X1)
| iLess0(X1,szszuzczcdt0(X1)) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_14,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_15,axiom,
! [X1] :
( lhs_atom11(X1)
| X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom11(X1)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_17,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(X1,X1) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_18,axiom,
! [X1] :
( lhs_atom1(X1)
| aSubsetOf0(X1,X1) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom7(X1)
| ~ ( aSet0(X1)
& isCountable0(X1) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom6(X1)
| ~ ( aSet0(X1)
& isCountable0(X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(sz00,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| aElement0(sbrdtbr0(X1)) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom11(X1)
| X1 != szszuzczcdt0(X1) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_25,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_26,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_27,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isCountable0(X1)
=> $true ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_29,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isFinite0(X1)
=> $true ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom2(X1)
| $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_33,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
c_0_0 ).
fof(c_0_34,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
c_0_1 ).
fof(c_0_35,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
c_0_2 ).
fof(c_0_36,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
c_0_3 ).
fof(c_0_37,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
c_0_4 ).
fof(c_0_38,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
c_0_5 ).
fof(c_0_39,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
c_0_6 ).
fof(c_0_40,axiom,
! [X1] :
( lhs_atom2(X1)
| ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
c_0_7 ).
fof(c_0_41,axiom,
! [X1] :
( lhs_atom1(X1)
| ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
c_0_8 ).
fof(c_0_42,plain,
! [X1] :
( lhs_atom11(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_43,axiom,
! [X1] :
( lhs_atom4(X1)
| ~ ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
c_0_10 ).
fof(c_0_44,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
c_0_11 ).
fof(c_0_45,axiom,
! [X1] :
( lhs_atom3(X1)
| ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
c_0_12 ).
fof(c_0_46,axiom,
! [X1] :
( lhs_atom11(X1)
| iLess0(X1,szszuzczcdt0(X1)) ),
c_0_13 ).
fof(c_0_47,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
c_0_14 ).
fof(c_0_48,axiom,
! [X1] :
( lhs_atom11(X1)
| X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ),
c_0_15 ).
fof(c_0_49,axiom,
! [X1] :
( lhs_atom11(X1)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
c_0_16 ).
fof(c_0_50,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(X1,X1) ),
c_0_17 ).
fof(c_0_51,axiom,
! [X1] :
( lhs_atom1(X1)
| aSubsetOf0(X1,X1) ),
c_0_18 ).
fof(c_0_52,axiom,
! [X1] :
( lhs_atom7(X1)
| ~ ( aSet0(X1)
& isCountable0(X1) ) ),
c_0_19 ).
fof(c_0_53,axiom,
! [X1] :
( lhs_atom6(X1)
| ~ ( aSet0(X1)
& isCountable0(X1) ) ),
c_0_20 ).
fof(c_0_54,axiom,
! [X1] :
( lhs_atom11(X1)
| sdtlseqdt0(sz00,X1) ),
c_0_21 ).
fof(c_0_55,axiom,
! [X1] :
( lhs_atom1(X1)
| aElement0(sbrdtbr0(X1)) ),
c_0_22 ).
fof(c_0_56,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
c_0_23 ).
fof(c_0_57,axiom,
! [X1] :
( lhs_atom11(X1)
| X1 != szszuzczcdt0(X1) ),
c_0_24 ).
fof(c_0_58,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_59,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_60,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_61,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_62,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_63,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_64,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_65,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_66,plain,
! [X3,X4] :
( lhs_atom1(X3)
| ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))) = sbrdtbr0(X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_67,plain,
! [X4,X5,X6,X7] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| lhs_atom1(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| lhs_atom1(X4) )
& ( aElementOf0(esk2_2(X4,X7),X7)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom1(X4) )
& ( ~ aElementOf0(esk2_2(X4,X7),X4)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])])]) ).
fof(c_0_68,plain,
! [X3,X4] :
( lhs_atom1(X3)
| ~ aElementOf0(X4,X3)
| sdtpldt0(sdtmndt0(X3,X4),X4) = X3 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_69,plain,
! [X3,X4] :
( lhs_atom1(X3)
| ~ isFinite0(X3)
| ~ aSubsetOf0(X4,X3)
| sdtlseqdt0(sbrdtbr0(X4),sbrdtbr0(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_70,plain,
! [X3,X4] :
( lhs_atom2(X3)
| ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_71,plain,
! [X3,X4] :
( lhs_atom2(X3)
| ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom2(X3)
| ~ aSet0(X4)
| ~ isCountable0(X4)
| isCountable0(sdtmndt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_73,plain,
! [X3,X4] :
( lhs_atom2(X3)
| ~ aSet0(X4)
| ~ isCountable0(X4)
| isCountable0(sdtpldt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_74,plain,
! [X2] :
( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2)
| lhs_atom1(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_75,plain,
! [X2] :
( lhs_atom11(X2)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_76,plain,
! [X3] :
( lhs_atom4(X3)
| ~ aSet0(X3)
| aElementOf0(esk1_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
fof(c_0_77,plain,
! [X3,X4] :
( lhs_atom1(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_78,plain,
! [X3,X4] :
( ( aSet0(X3)
| lhs_atom3(X3) )
& ( ~ aElementOf0(X4,X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_79,plain,
! [X2] :
( lhs_atom11(X2)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_80,plain,
! [X2] :
( lhs_atom11(X2)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_81,plain,
! [X3] :
( ( aElementOf0(esk3_1(X3),szNzAzT0)
| X3 = sz00
| lhs_atom11(X3) )
& ( X3 = szszuzczcdt0(esk3_1(X3))
| X3 = sz00
| lhs_atom11(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_48])])]) ).
fof(c_0_82,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| lhs_atom11(X2) )
& ( szszuzczcdt0(X2) != sz00
| lhs_atom11(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_83,plain,
! [X2] :
( lhs_atom11(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_84,plain,
! [X2] :
( lhs_atom1(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_85,plain,
! [X2] :
( lhs_atom7(X2)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
fof(c_0_86,plain,
! [X2] :
( lhs_atom6(X2)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
fof(c_0_87,plain,
! [X2] :
( lhs_atom11(X2)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_88,plain,
! [X2] :
( lhs_atom1(X2)
| aElement0(sbrdtbr0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_89,plain,
! [X2] :
( ( sbrdtbr0(X2) != sz00
| X2 = slcrc0
| lhs_atom1(X2) )
& ( X2 != slcrc0
| sbrdtbr0(X2) = sz00
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
fof(c_0_90,plain,
! [X2] :
( lhs_atom11(X2)
| X2 != szszuzczcdt0(X2) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_91,plain,
lhs_atom10,
c_0_58 ).
fof(c_0_92,plain,
lhs_atom9,
c_0_59 ).
fof(c_0_93,plain,
lhs_atom8,
c_0_60 ).
fof(c_0_94,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_95,plain,
lhs_atom5,
c_0_62 ).
fof(c_0_96,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_97,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_98,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_65]) ).
cnf(c_0_99,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| lhs_atom1(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_101,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| lhs_atom1(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_102,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_103,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_104,plain,
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X2))
| lhs_atom1(X2)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( isFinite0(sdtmndt0(X1,X2))
| lhs_atom2(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( isFinite0(sdtpldt0(X1,X2))
| lhs_atom2(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( isCountable0(sdtmndt0(X1,X2))
| lhs_atom2(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_108,plain,
( isCountable0(sdtpldt0(X1,X2))
| lhs_atom2(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_109,plain,
( lhs_atom1(X1)
| isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_110,plain,
( lhs_atom11(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_111,plain,
( aElementOf0(esk1_1(X1),X1)
| lhs_atom4(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( lhs_atom1(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_113,plain,
( aElement0(X1)
| lhs_atom1(X2)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_114,plain,
( lhs_atom1(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_115,plain,
( lhs_atom3(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_116,plain,
( iLess0(X1,szszuzczcdt0(X1))
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_117,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_118,plain,
( lhs_atom11(X1)
| X1 = sz00
| aElementOf0(esk3_1(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_119,plain,
( lhs_atom11(X1)
| aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_120,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_121,plain,
( aSubsetOf0(X1,X1)
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_122,plain,
( lhs_atom7(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_123,plain,
( lhs_atom6(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_124,plain,
( sdtlseqdt0(sz00,X1)
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_125,plain,
( lhs_atom11(X1)
| X1 = sz00
| X1 = szszuzczcdt0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_126,plain,
( aElement0(sbrdtbr0(X1))
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_127,plain,
( lhs_atom1(X1)
| X1 = slcrc0
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_128,plain,
( lhs_atom11(X1)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_129,plain,
( lhs_atom11(X1)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_130,plain,
( lhs_atom1(X1)
| sbrdtbr0(X1) = sz00
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_131,plain,
( lhs_atom3(X1)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_132,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_133,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_134,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_135,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_136,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_137,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_138,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_139,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_140,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| lhs_atom1(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
c_0_99,
[final] ).
cnf(c_0_141,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
c_0_100,
[final] ).
cnf(c_0_142,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| lhs_atom1(X1)
| ~ aElementOf0(X2,X1) ),
c_0_101,
[final] ).
cnf(c_0_143,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
c_0_102,
[final] ).
cnf(c_0_144,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
c_0_103,
[final] ).
cnf(c_0_145,plain,
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X2))
| lhs_atom1(X2)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2) ),
c_0_104,
[final] ).
cnf(c_0_146,plain,
( isFinite0(sdtmndt0(X1,X2))
| lhs_atom2(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
c_0_105,
[final] ).
cnf(c_0_147,plain,
( isFinite0(sdtpldt0(X1,X2))
| lhs_atom2(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
c_0_106,
[final] ).
cnf(c_0_148,plain,
( isCountable0(sdtmndt0(X1,X2))
| lhs_atom2(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
c_0_107,
[final] ).
cnf(c_0_149,plain,
( isCountable0(sdtpldt0(X1,X2))
| lhs_atom2(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
c_0_108,
[final] ).
cnf(c_0_150,plain,
( lhs_atom1(X1)
| isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
c_0_109,
[final] ).
cnf(c_0_151,plain,
( lhs_atom11(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
c_0_110,
[final] ).
cnf(c_0_152,plain,
( aElementOf0(esk1_1(X1),X1)
| lhs_atom4(X1)
| ~ aSet0(X1) ),
c_0_111,
[final] ).
cnf(c_0_153,plain,
( lhs_atom1(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
c_0_112,
[final] ).
cnf(c_0_154,plain,
( aElement0(X1)
| lhs_atom1(X2)
| ~ aElementOf0(X1,X2) ),
c_0_113,
[final] ).
cnf(c_0_155,plain,
( lhs_atom1(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1) ),
c_0_114,
[final] ).
cnf(c_0_156,plain,
( lhs_atom3(X1)
| ~ aElementOf0(X2,X1) ),
c_0_115,
[final] ).
cnf(c_0_157,plain,
( iLess0(X1,szszuzczcdt0(X1))
| lhs_atom11(X1) ),
c_0_116,
[final] ).
cnf(c_0_158,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| lhs_atom11(X1) ),
c_0_117,
[final] ).
cnf(c_0_159,plain,
( lhs_atom11(X1)
| X1 = sz00
| aElementOf0(esk3_1(X1),szNzAzT0) ),
c_0_118,
[final] ).
cnf(c_0_160,plain,
( lhs_atom11(X1)
| aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
c_0_119,
[final] ).
cnf(c_0_161,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom11(X1) ),
c_0_120,
[final] ).
cnf(c_0_162,plain,
( aSubsetOf0(X1,X1)
| lhs_atom1(X1) ),
c_0_121,
[final] ).
cnf(c_0_163,plain,
( lhs_atom7(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
c_0_122,
[final] ).
cnf(c_0_164,plain,
( lhs_atom6(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
c_0_123,
[final] ).
cnf(c_0_165,plain,
( sdtlseqdt0(sz00,X1)
| lhs_atom11(X1) ),
c_0_124,
[final] ).
cnf(c_0_166,plain,
( lhs_atom11(X1)
| X1 = sz00
| szszuzczcdt0(esk3_1(X1)) = X1 ),
c_0_125,
[final] ).
cnf(c_0_167,plain,
( aElement0(sbrdtbr0(X1))
| lhs_atom1(X1) ),
c_0_126,
[final] ).
cnf(c_0_168,plain,
( lhs_atom1(X1)
| X1 = slcrc0
| sbrdtbr0(X1) != sz00 ),
c_0_127,
[final] ).
cnf(c_0_169,plain,
( lhs_atom11(X1)
| szszuzczcdt0(X1) != X1 ),
c_0_128,
[final] ).
cnf(c_0_170,plain,
( lhs_atom11(X1)
| szszuzczcdt0(X1) != sz00 ),
c_0_129,
[final] ).
cnf(c_0_171,plain,
( lhs_atom1(X1)
| sbrdtbr0(X1) = sz00
| X1 != slcrc0 ),
c_0_130,
[final] ).
cnf(c_0_172,plain,
( lhs_atom3(X1)
| aSet0(X1) ),
c_0_131,
[final] ).
cnf(c_0_173,plain,
lhs_atom10,
c_0_132,
[final] ).
cnf(c_0_174,plain,
lhs_atom9,
c_0_133,
[final] ).
cnf(c_0_175,plain,
lhs_atom8,
c_0_134,
[final] ).
cnf(c_0_176,plain,
$true,
c_0_135,
[final] ).
cnf(c_0_177,plain,
lhs_atom5,
c_0_136,
[final] ).
cnf(c_0_178,plain,
$true,
c_0_137,
[final] ).
cnf(c_0_179,plain,
$true,
c_0_138,
[final] ).
cnf(c_0_180,plain,
$true,
c_0_139,
[final] ).
% End CNF derivation
cnf(c_0_140_0,axiom,
( ~ aSet0(X1)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom1]) ).
cnf(c_0_141_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk2_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom1]) ).
cnf(c_0_142_0,axiom,
( ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aElementOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom1]) ).
cnf(c_0_143_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(sk1_esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom1]) ).
cnf(c_0_144_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom1]) ).
cnf(c_0_145_0,axiom,
( ~ aSet0(X2)
| sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X2))
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom1]) ).
cnf(c_0_146_0,axiom,
( ~ aElement0(X2)
| isFinite0(sdtmndt0(X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom2]) ).
cnf(c_0_147_0,axiom,
( ~ aElement0(X2)
| isFinite0(sdtpldt0(X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom2]) ).
cnf(c_0_148_0,axiom,
( ~ aElement0(X2)
| isCountable0(sdtmndt0(X1,X2))
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom2]) ).
cnf(c_0_149_0,axiom,
( ~ aElement0(X2)
| isCountable0(sdtpldt0(X1,X2))
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom2]) ).
cnf(c_0_150_0,axiom,
( ~ aSet0(X1)
| isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom1]) ).
cnf(c_0_151_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom11]) ).
cnf(c_0_152_0,axiom,
( X1 = slcrc0
| aElementOf0(sk1_esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom4]) ).
cnf(c_0_153_0,axiom,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom1]) ).
cnf(c_0_154_0,axiom,
( ~ aSet0(X2)
| aElement0(X1)
| ~ aElementOf0(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom1]) ).
cnf(c_0_155_0,axiom,
( ~ aSet0(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom1]) ).
cnf(c_0_156_0,axiom,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom3]) ).
cnf(c_0_157_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom11]) ).
cnf(c_0_158_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom11]) ).
cnf(c_0_159_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| aElementOf0(sk1_esk3_1(X1),szNzAzT0) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom11]) ).
cnf(c_0_160_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom11]) ).
cnf(c_0_161_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom11]) ).
cnf(c_0_162_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom1]) ).
cnf(c_0_163_0,axiom,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom7]) ).
cnf(c_0_164_0,axiom,
( ~ isFinite0(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom6]) ).
cnf(c_0_165_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom11]) ).
cnf(c_0_166_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| szszuzczcdt0(sk1_esk3_1(X1)) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom11]) ).
cnf(c_0_167_0,axiom,
( ~ aSet0(X1)
| aElement0(sbrdtbr0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom1]) ).
cnf(c_0_168_0,axiom,
( ~ aSet0(X1)
| X1 = slcrc0
| sbrdtbr0(X1) != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom1]) ).
cnf(c_0_169_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X1) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom11]) ).
cnf(c_0_170_0,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X1) != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom11]) ).
cnf(c_0_171_0,axiom,
( ~ aSet0(X1)
| sbrdtbr0(X1) = sz00
| X1 != slcrc0 ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom1]) ).
cnf(c_0_172_0,axiom,
( X1 != slcrc0
| aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom3]) ).
cnf(c_0_173_0,axiom,
aElementOf0(sz00,szNzAzT0),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom10]) ).
cnf(c_0_174_0,axiom,
aSet0(szNzAzT0),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom9]) ).
cnf(c_0_175_0,axiom,
isCountable0(szNzAzT0),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom8]) ).
cnf(c_0_176_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_176,def_true]) ).
cnf(c_0_177_0,axiom,
isFinite0(slcrc0),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom5]) ).
cnf(c_0_178_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_178,def_true]) ).
cnf(c_0_179_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_179,def_true]) ).
cnf(c_0_180_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_180,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('<stdin>',mDefDiff) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('<stdin>',mDefCons) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('<stdin>',mLessTrans) ).
fof(c_0_3_004,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('<stdin>',mDefMax) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('<stdin>',mDefMin) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('<stdin>',mCardSubEx) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('<stdin>',mSuccLess) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mLessASymm) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('<stdin>',mSubTrans) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('<stdin>',mCardCons) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('<stdin>',mLessTotal) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('<stdin>',mDiffCons) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mSubASymm) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('<stdin>',mSuccEquSucc) ).
fof(c_0_14_015,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('<stdin>',mSubFSet) ).
fof(c_0_15_016,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
=> $true ) ),
file('<stdin>',mLessRel) ).
fof(c_0_16_017,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mIHSort) ).
fof(c_0_17_018,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
c_0_0 ).
fof(c_0_18_019,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
c_0_1 ).
fof(c_0_19_020,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_2 ).
fof(c_0_20_021,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
c_0_3 ).
fof(c_0_21_022,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
c_0_4 ).
fof(c_0_22_023,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
c_0_5 ).
fof(c_0_23_024,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
c_0_6 ).
fof(c_0_24_025,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_7 ).
fof(c_0_25_026,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
c_0_8 ).
fof(c_0_26_027,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_27_028,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
c_0_10 ).
fof(c_0_28_029,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_29_030,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
c_0_12 ).
fof(c_0_30_031,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
c_0_13 ).
fof(c_0_31_032,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
c_0_14 ).
fof(c_0_32_033,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_33_034,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_34_035,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| X9 = X6
| aElementOf0(X9,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk4_3(X5,X6,X10),X10)
| ~ aElement0(esk4_3(X5,X6,X10))
| ~ aElementOf0(esk4_3(X5,X6,X10),X5)
| esk4_3(X5,X6,X10) = X6
| ~ aSet0(X10)
| X10 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk4_3(X5,X6,X10))
| aElementOf0(esk4_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X10),X5)
| aElementOf0(esk4_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk4_3(X5,X6,X10) != X6
| aElementOf0(esk4_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
fof(c_0_35_036,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X9,X5)
| ~ aElement0(X9)
| aElementOf0(X9,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X9 != X6
| ~ aElement0(X9)
| aElementOf0(X9,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk5_3(X5,X6,X10),X5)
| ~ aElement0(esk5_3(X5,X6,X10))
| ~ aElementOf0(esk5_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk5_3(X5,X6,X10) != X6
| ~ aElement0(esk5_3(X5,X6,X10))
| ~ aElementOf0(esk5_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk5_3(X5,X6,X10))
| aElementOf0(esk5_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk5_3(X5,X6,X10),X5)
| esk5_3(X5,X6,X10) = X6
| aElementOf0(esk5_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
fof(c_0_36_037,plain,
! [X4,X5,X6] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_37_038,plain,
! [X4,X5,X6,X7] :
( ( aElementOf0(X5,X4)
| X5 != szmzazxdt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| X4 = slcrc0 )
& ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5)
| X5 != szmzazxdt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| X4 = slcrc0 )
& ( aElementOf0(esk1_2(X4,X7),X4)
| ~ aElementOf0(X7,X4)
| X7 = szmzazxdt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| X4 = slcrc0 )
& ( ~ sdtlseqdt0(esk1_2(X4,X7),X7)
| ~ aElementOf0(X7,X4)
| X7 = szmzazxdt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| X4 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).
fof(c_0_38_039,plain,
! [X4,X5,X6,X7] :
( ( aElementOf0(X5,X4)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( aElementOf0(esk2_2(X4,X7),X4)
| ~ aElementOf0(X7,X4)
| X7 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ sdtlseqdt0(X7,esk2_2(X4,X7))
| ~ aElementOf0(X7,X4)
| X7 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
fof(c_0_39_040,plain,
! [X4,X5] :
( ( aSubsetOf0(esk3_2(X4,X5),X4)
| ~ isFinite0(X4)
| ~ sdtlseqdt0(X5,sbrdtbr0(X4))
| ~ aSet0(X4)
| ~ aElementOf0(X5,szNzAzT0) )
& ( sbrdtbr0(esk3_2(X4,X5)) = X5
| ~ isFinite0(X4)
| ~ sdtlseqdt0(X5,sbrdtbr0(X4))
| ~ aSet0(X4)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_40_041,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_41_042,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_42_043,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_43_044,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ~ aElement0(X4)
| aElementOf0(X4,X3)
| sbrdtbr0(sdtpldt0(X3,X4)) = szszuzczcdt0(sbrdtbr0(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_44_045,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_45_046,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| sdtmndt0(sdtpldt0(X4,X3),X3) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
fof(c_0_46_047,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X3,X4)
| ~ aSubsetOf0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_48_049,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ~ aSubsetOf0(X4,X3)
| isFinite0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_49_050,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_50_051,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_51_052,plain,
( X3 = sdtmndt0(X2,X1)
| esk4_3(X2,X1,X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElement0(esk4_3(X2,X1,X3))
| ~ aElementOf0(esk4_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52_053,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3)
| ~ aElement0(esk5_3(X2,X1,X3))
| ~ aElementOf0(esk5_3(X2,X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53_054,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3)
| ~ aElement0(esk5_3(X2,X1,X3))
| esk5_3(X2,X1,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_54_055,plain,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| esk5_3(X2,X1,X3) = X1
| aElementOf0(esk5_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55_056,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_56_057,plain,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElement0(esk5_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_57_058,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElement0(esk4_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_58_059,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| esk4_3(X2,X1,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_59_060,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60_061,plain,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_61_062,plain,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_62_063,plain,
( aSubsetOf0(esk3_2(X2,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_63_064,plain,
( sbrdtbr0(esk3_2(X2,X1)) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_64_065,plain,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| aElementOf0(esk1_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_65_066,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_66_067,plain,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| aElementOf0(esk2_2(X1,X2),X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_67_068,plain,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_68_069,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_69_070,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_70_071,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_71_072,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_72_073,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_73_074,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_74_075,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_75_076,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_76_077,plain,
( X1 = slcrc0
| sdtlseqdt0(X3,X2)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_77_078,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_78_079,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79_080,plain,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_80_081,plain,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_81_082,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_82_083,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_83_084,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_84_085,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_85_086,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_86_087,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_87_088,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_88_089,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_89_090,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_90_091,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_91_092,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_92_093,plain,
( X3 = sdtmndt0(X2,X1)
| esk4_3(X2,X1,X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElement0(esk4_3(X2,X1,X3))
| ~ aElementOf0(esk4_3(X2,X1,X3),X3) ),
c_0_51,
[final] ).
cnf(c_0_93_094,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3)
| ~ aElement0(esk5_3(X2,X1,X3))
| ~ aElementOf0(esk5_3(X2,X1,X3),X2) ),
c_0_52,
[final] ).
cnf(c_0_94_095,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3)
| ~ aElement0(esk5_3(X2,X1,X3))
| esk5_3(X2,X1,X3) != X1 ),
c_0_53,
[final] ).
cnf(c_0_95_096,plain,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| esk5_3(X2,X1,X3) = X1
| aElementOf0(esk5_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_54,
[final] ).
cnf(c_0_96_097,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_55,
[final] ).
cnf(c_0_97_098,plain,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElement0(esk5_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_56,
[final] ).
cnf(c_0_98_099,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElement0(esk4_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_57,
[final] ).
cnf(c_0_99_100,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| esk4_3(X2,X1,X3) != X1 ),
c_0_58,
[final] ).
cnf(c_0_100_101,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
c_0_59,
[final] ).
cnf(c_0_101_102,plain,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(esk1_2(X1,X2),X2) ),
c_0_60,
[final] ).
cnf(c_0_102_103,plain,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(X2,esk2_2(X1,X2)) ),
c_0_61,
[final] ).
cnf(c_0_103_104,plain,
( aSubsetOf0(esk3_2(X2,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
c_0_62,
[final] ).
cnf(c_0_104_105,plain,
( sbrdtbr0(esk3_2(X2,X1)) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
c_0_63,
[final] ).
cnf(c_0_105_106,plain,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| aElementOf0(esk1_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
c_0_64,
[final] ).
cnf(c_0_106_107,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
c_0_65,
[final] ).
cnf(c_0_107_108,plain,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| aElementOf0(esk2_2(X1,X2),X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
c_0_66,
[final] ).
cnf(c_0_108_109,plain,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
c_0_67,
[final] ).
cnf(c_0_109_110,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
c_0_68,
[final] ).
cnf(c_0_110_111,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
c_0_69,
[final] ).
cnf(c_0_111_112,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
c_0_70,
[final] ).
cnf(c_0_112_113,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
c_0_71,
[final] ).
cnf(c_0_113_114,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_72,
[final] ).
cnf(c_0_114_115,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
c_0_73,
[final] ).
cnf(c_0_115_116,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
c_0_74,
[final] ).
cnf(c_0_116_117,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_75,
[final] ).
cnf(c_0_117_118,plain,
( X1 = slcrc0
| sdtlseqdt0(X3,X2)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
c_0_76,
[final] ).
cnf(c_0_118_119,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
c_0_77,
[final] ).
cnf(c_0_119_120,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
c_0_78,
[final] ).
cnf(c_0_120_121,plain,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_79,
[final] ).
cnf(c_0_121_122,plain,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_80,
[final] ).
cnf(c_0_122_123,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
c_0_81,
[final] ).
cnf(c_0_123_124,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
c_0_82,
[final] ).
cnf(c_0_124_125,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
c_0_83,
[final] ).
cnf(c_0_125_126,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
c_0_84,
[final] ).
cnf(c_0_126_127,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
c_0_85,
[final] ).
cnf(c_0_127_128,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
c_0_86,
[final] ).
cnf(c_0_128_129,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
c_0_87,
[final] ).
cnf(c_0_129_130,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
c_0_88,
[final] ).
cnf(c_0_130_131,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
c_0_89,
[final] ).
cnf(c_0_131_132,plain,
$true,
c_0_90,
[final] ).
cnf(c_0_132_133,plain,
$true,
c_0_91,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_92_0,axiom,
( X3 = sdtmndt0(X2,X1)
| sk2_esk4_3(X2,X1,X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_5,axiom,
( ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_6,axiom,
( ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1)
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_7,axiom,
( ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| sk2_esk4_3(X2,X1,X3) = X1
| X3 = sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_5,axiom,
( ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_6,axiom,
( ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_5,axiom,
( ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1)
| sk2_esk5_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_6,axiom,
( sk2_esk5_3(X2,X1,X3) != X1
| ~ aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X3 = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_4,axiom,
( ~ aElement0(X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_5,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_6,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X2)
| sk2_esk5_3(X2,X1,X3) = X1
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| aElement0(sk2_esk5_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( aElement0(sk2_esk5_3(X2,X1,X3))
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( ~ aElement0(X1)
| aElement0(sk2_esk5_3(X2,X1,X3))
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_4,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk5_3(X2,X1,X3))
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk5_3(X2,X1,X3))
| aElementOf0(sk2_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| aElement0(sk2_esk4_3(X2,X1,X3))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( aElement0(sk2_esk4_3(X2,X1,X3))
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ aElement0(X1)
| aElement0(sk2_esk4_3(X2,X1,X3))
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk4_3(X2,X1,X3))
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk4_3(X2,X1,X3))
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sk2_esk4_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sk2_esk4_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sk2_esk4_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| ~ aSet0(X3)
| sk2_esk4_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_4,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1)
| sk2_esk4_3(X2,X1,X3) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_5,axiom,
( sk2_esk4_3(X2,X1,X3) != X1
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(sk2_esk4_3(X2,X1,X3),X3)
| X3 = sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_4,axiom,
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_5,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ isFinite0(X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_4,axiom,
( ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_5,axiom,
( ~ sdtlseqdt0(sk2_esk1_2(X1,X2),X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(X2,sk2_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(X2,sk2_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(X2,sk2_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ sdtlseqdt0(X2,sk2_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_4,axiom,
( ~ sdtlseqdt0(X2,sk2_esk2_2(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 = szmzizndt0(X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( aSubsetOf0(sk2_esk3_2(X2,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sk2_esk3_2(X2,X1),X2)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sk2_esk3_2(X2,X1),X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_3,axiom,
( ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sk2_esk3_2(X2,X1),X2)
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_4,axiom,
( ~ isFinite0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sk2_esk3_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( sbrdtbr0(sk2_esk3_2(X2,X1)) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(sk2_esk3_2(X2,X1)) = X1
| ~ aSet0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(sk2_esk3_2(X2,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(sk2_esk3_2(X2,X1)) = X1
| ~ isFinite0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_4,axiom,
( ~ isFinite0(X2)
| ~ sdtlseqdt0(X1,sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(sk2_esk3_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( X1 = slcrc0
| X2 = szmzazxdt0(X1)
| aElementOf0(sk2_esk1_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( X2 = szmzazxdt0(X1)
| X1 = slcrc0
| aElementOf0(sk2_esk1_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( aElementOf0(sk2_esk1_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ isFinite0(X1)
| aElementOf0(sk2_esk1_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_4,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| aElementOf0(sk2_esk1_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_5,axiom,
( ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| aElementOf0(sk2_esk1_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( X1 = slcrc0
| X2 = szmzizndt0(X1)
| aElementOf0(sk2_esk2_2(X1,X2),X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( X2 = szmzizndt0(X1)
| X1 = slcrc0
| aElementOf0(sk2_esk2_2(X1,X2),X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( aElementOf0(sk2_esk2_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(sk2_esk2_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_4,axiom,
( ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(sk2_esk2_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_4,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( X4 = X1
| aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ aElement0(X1)
| X4 = X1
| aElementOf0(X4,X3)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| X4 = X1
| aElementOf0(X4,X3)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X4 = X1
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_5,axiom,
( ~ aElementOf0(X4,X2)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X4 = X1
| aElementOf0(X4,X3)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_6,axiom,
( ~ aElement0(X4)
| ~ aElementOf0(X4,X2)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X4 = X1
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ aElement0(X1)
| aElementOf0(X4,X3)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_4,axiom,
( ~ aElement0(X4)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_5,axiom,
( ~ aElementOf0(X4,X2)
| ~ aElement0(X4)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_4,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_5,axiom,
( ~ aSet0(X1)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( aElementOf0(X4,X2)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ aElement0(X1)
| aElementOf0(X4,X2)
| X4 = X1
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2)
| X4 = X1
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_4,axiom,
( X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2)
| X4 = X1
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_5,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2)
| X4 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aElement0(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ aElement0(X2)
| aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ isFinite0(X1)
| ~ aElement0(X2)
| aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2)
| aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ aElement0(X1)
| aElementOf0(X4,X2)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_3,axiom,
( X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( X1 = slcrc0
| sdtlseqdt0(X3,X2)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( sdtlseqdt0(X3,X2)
| X1 = slcrc0
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ isFinite0(X1)
| sdtlseqdt0(X3,X2)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_3,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| sdtlseqdt0(X3,X2)
| X1 = slcrc0
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_4,axiom,
( X2 != szmzazxdt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| sdtlseqdt0(X3,X2)
| X1 = slcrc0
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_5,axiom,
( ~ aElementOf0(X3,X1)
| X2 != szmzazxdt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| sdtlseqdt0(X3,X2)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( aElementOf0(X2,X1)
| sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ aSet0(X1)
| aElementOf0(X2,X1)
| sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_3,axiom,
( ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X2,X1)
| sdtmndt0(sdtpldt0(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( sdtlseqdt0(X2,X3)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X3)
| X1 = slcrc0
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_3,axiom,
( X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X3)
| X1 = slcrc0
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_4,axiom,
( ~ aElementOf0(X3,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X3)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ aElement0(X1)
| aElement0(X4)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_3,axiom,
( X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ aElement0(X1)
| aElement0(X4)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_4,axiom,
( X4 != X1
| ~ aElementOf0(X4,X3)
| X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ aElement0(X1)
| aElementOf0(X4,X3)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| ~ aElement0(X4)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_4,axiom,
( ~ aElement0(X4)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3)
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_5,axiom,
( X4 != X1
| ~ aElement0(X4)
| X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ aSubsetOf0(X2,X1)
| X1 = X2
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| X1 = X2
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| X1 = X2
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_4,axiom,
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2
| ~ aElementOf0(X1,szNzAzT0) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( aElementOf0(X2,X1)
| X1 = slcrc0
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ isFinite0(X1)
| aElementOf0(X2,X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| aElementOf0(X2,X1)
| X1 = slcrc0
| X2 != szmzazxdt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_4,axiom,
( X2 != szmzazxdt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| aElementOf0(X2,X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( aElementOf0(X2,X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X2,X1)
| X1 = slcrc0
| X2 != szmzizndt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X2,X1)
| X1 = slcrc0 ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ aElement0(X1)
| aSet0(X3)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aSet0(X3)
| X3 != sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( X3 != sdtpldt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ aElement0(X1)
| aSet0(X3)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aSet0(X3)
| X3 != sdtmndt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( X3 != sdtmndt0(X2,X1)
| ~ aSet0(X2)
| ~ aElement0(X1)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ aSubsetOf0(X1,X2)
| isFinite0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2)
| isFinite0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2)
| isFinite0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_132]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_134,conjecture,
( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
file('<stdin>',m__) ).
fof(c_0_1_135,hypothesis,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xS) ),
file('<stdin>',m__1802) ).
fof(c_0_2_136,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
& ~ ( ~ ? [X1] : aElementOf0(X1,xT)
| xT = slcrc0 ) ),
file('<stdin>',m__1779) ).
fof(c_0_3_137,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_4_138,hypothesis,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xS) ),
c_0_1 ).
fof(c_0_5_139,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
& ~ ( ~ ? [X1] : aElementOf0(X1,xT)
| xT = slcrc0 ) ),
c_0_2 ).
fof(c_0_6_140,negated_conjecture,
! [X2] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X2,xS)
| sdtlseqdt0(szmzizndt0(xS),X2) )
& aElementOf0(esk3_0,xT)
& ~ sdtlseqdt0(szmzizndt0(xS),esk3_0)
& szmzizndt0(xS) != szmzizndt0(xT) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_7_141,hypothesis,
! [X2,X3] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X2,xS)
| sdtlseqdt0(szmzizndt0(xS),X2) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ( ~ aElementOf0(X3,xT)
| sdtlseqdt0(szmzizndt0(xT),X3) )
& aElementOf0(szmzizndt0(xT),xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8_142,hypothesis,
! [X2,X3] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ( ~ aElementOf0(X3,xT)
| aElementOf0(X3,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& aElementOf0(esk1_0,xS)
& xS != slcrc0
& aElementOf0(esk2_0,xT)
& xT != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_9_143,negated_conjecture,
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_144,hypothesis,
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11_145,hypothesis,
( sdtlseqdt0(szmzizndt0(xT),X1)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12_146,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_147,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14_148,negated_conjecture,
~ sdtlseqdt0(szmzizndt0(xS),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15_149,negated_conjecture,
aElementOf0(szmzizndt0(xS),xS),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16_150,hypothesis,
aElementOf0(szmzizndt0(xS),xS),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17_151,hypothesis,
aElementOf0(szmzizndt0(xS),xT),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18_152,hypothesis,
aElementOf0(szmzizndt0(xT),xT),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19_153,hypothesis,
aElementOf0(szmzizndt0(xT),xS),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20_154,negated_conjecture,
aElementOf0(esk3_0,xT),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21_155,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22_156,hypothesis,
aSubsetOf0(xT,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23_157,hypothesis,
aElementOf0(esk1_0,xS),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24_158,hypothesis,
aElementOf0(esk2_0,xT),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25_159,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26_160,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27_161,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28_162,hypothesis,
xS != slcrc0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29_163,hypothesis,
xT != slcrc0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30_164,negated_conjecture,
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
c_0_9,
[final] ).
cnf(c_0_31_165,hypothesis,
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
c_0_10,
[final] ).
cnf(c_0_32_166,hypothesis,
( sdtlseqdt0(szmzizndt0(xT),X1)
| ~ aElementOf0(X1,xT) ),
c_0_11,
[final] ).
cnf(c_0_33_167,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
c_0_12,
[final] ).
cnf(c_0_34_168,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT) ),
c_0_13,
[final] ).
cnf(c_0_35_169,negated_conjecture,
~ sdtlseqdt0(szmzizndt0(xS),esk3_0),
c_0_14,
[final] ).
cnf(c_0_36_170,negated_conjecture,
aElementOf0(szmzizndt0(xS),xS),
c_0_15,
[final] ).
cnf(c_0_37_171,hypothesis,
aElementOf0(szmzizndt0(xS),xS),
c_0_16,
[final] ).
cnf(c_0_38_172,hypothesis,
aElementOf0(szmzizndt0(xS),xT),
c_0_17,
[final] ).
cnf(c_0_39_173,hypothesis,
aElementOf0(szmzizndt0(xT),xT),
c_0_18,
[final] ).
cnf(c_0_40_174,hypothesis,
aElementOf0(szmzizndt0(xT),xS),
c_0_19,
[final] ).
cnf(c_0_41_175,negated_conjecture,
aElementOf0(esk3_0,xT),
c_0_20,
[final] ).
cnf(c_0_42_176,hypothesis,
aSubsetOf0(xS,szNzAzT0),
c_0_21,
[final] ).
cnf(c_0_43_177,hypothesis,
aSubsetOf0(xT,szNzAzT0),
c_0_22,
[final] ).
cnf(c_0_44_178,hypothesis,
aElementOf0(esk1_0,xS),
c_0_23,
[final] ).
cnf(c_0_45_179,hypothesis,
aElementOf0(esk2_0,xT),
c_0_24,
[final] ).
cnf(c_0_46_180,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
c_0_25,
[final] ).
cnf(c_0_47_181,hypothesis,
aSet0(xS),
c_0_26,
[final] ).
cnf(c_0_48_182,hypothesis,
aSet0(xT),
c_0_27,
[final] ).
cnf(c_0_49_183,hypothesis,
xS != slcrc0,
c_0_28,
[final] ).
cnf(c_0_50_184,hypothesis,
xT != slcrc0,
c_0_29,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_255,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_33) ).
cnf(c_338,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(copy,[status(esa)],[c_255]) ).
cnf(c_388,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(copy,[status(esa)],[c_338]) ).
cnf(c_421,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(copy,[status(esa)],[c_388]) ).
cnf(c_432,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(copy,[status(esa)],[c_421]) ).
cnf(c_1226,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(copy,[status(esa)],[c_432]) ).
cnf(c_262,plain,
aElementOf0(szmzizndt0(xS),xS),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_37) ).
cnf(c_346,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(copy,[status(esa)],[c_262]) ).
cnf(c_394,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(copy,[status(esa)],[c_346]) ).
cnf(c_415,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(copy,[status(esa)],[c_394]) ).
cnf(c_438,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(copy,[status(esa)],[c_415]) ).
cnf(c_1238,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(copy,[status(esa)],[c_438]) ).
cnf(c_1959,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(resolution,[status(thm)],[c_1226,c_1238]) ).
cnf(c_1960,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(rewriting,[status(thm)],[c_1959]) ).
cnf(c_258,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_46) ).
cnf(c_370,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(copy,[status(esa)],[c_258]) ).
cnf(c_391,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(copy,[status(esa)],[c_370]) ).
cnf(c_418,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(copy,[status(esa)],[c_391]) ).
cnf(c_435,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(copy,[status(esa)],[c_418]) ).
cnf(c_1232,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(copy,[status(esa)],[c_435]) ).
cnf(c_99,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_109_0) ).
cnf(c_904,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_1260,plain,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(resolution,[status(thm)],[c_1232,c_904]) ).
cnf(c_1261,plain,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(rewriting,[status(thm)],[c_1260]) ).
cnf(c_2580,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1960,c_1261]) ).
cnf(c_2593,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(rewriting,[status(thm)],[c_2580]) ).
cnf(c_254,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_32) ).
cnf(c_336,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
inference(copy,[status(esa)],[c_254]) ).
cnf(c_387,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
inference(copy,[status(esa)],[c_336]) ).
cnf(c_422,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
inference(copy,[status(esa)],[c_387]) ).
cnf(c_431,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
inference(copy,[status(esa)],[c_422]) ).
cnf(c_1224,plain,
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(szmzizndt0(xT),X0) ),
inference(copy,[status(esa)],[c_431]) ).
cnf(c_2661,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(resolution,[status(thm)],[c_2593,c_1224]) ).
cnf(c_2662,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(rewriting,[status(thm)],[c_2661]) ).
cnf(c_263,plain,
aElementOf0(szmzizndt0(xS),xT),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_38) ).
cnf(c_348,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(copy,[status(esa)],[c_263]) ).
cnf(c_395,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(copy,[status(esa)],[c_348]) ).
cnf(c_414,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(copy,[status(esa)],[c_395]) ).
cnf(c_424,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(copy,[status(esa)],[c_414]) ).
cnf(c_1210,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(copy,[status(esa)],[c_424]) ).
cnf(c_2829,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2662,c_1210]) ).
cnf(c_2830,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(rewriting,[status(thm)],[c_2829]) ).
cnf(c_253,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_31) ).
cnf(c_334,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
inference(copy,[status(esa)],[c_253]) ).
cnf(c_386,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
inference(copy,[status(esa)],[c_334]) ).
cnf(c_423,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
inference(copy,[status(esa)],[c_386]) ).
cnf(c_430,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
inference(copy,[status(esa)],[c_423]) ).
cnf(c_1222,plain,
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ),
inference(copy,[status(esa)],[c_430]) ).
cnf(c_2837,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS) ),
inference(resolution,[status(thm)],[c_2830,c_1222]) ).
cnf(c_2838,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS) ),
inference(rewriting,[status(thm)],[c_2837]) ).
cnf(c_265,plain,
aElementOf0(szmzizndt0(xT),xS),
file('/export/starexec/sandbox/tmp/iprover_modulo_4de228.p',c_0_40) ).
cnf(c_352,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(copy,[status(esa)],[c_265]) ).
cnf(c_397,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(copy,[status(esa)],[c_352]) ).
cnf(c_412,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(copy,[status(esa)],[c_397]) ).
cnf(c_426,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(copy,[status(esa)],[c_412]) ).
cnf(c_1214,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(copy,[status(esa)],[c_426]) ).
cnf(c_1961,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(resolution,[status(thm)],[c_1226,c_1214]) ).
cnf(c_1962,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(rewriting,[status(thm)],[c_1961]) ).
cnf(c_16133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2838,c_1214,c_1962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM539+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 15:31:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_c4497d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4de228.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_abc349 | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.48 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.48 % --bmc1_dump_file -
% 0.20/0.48 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.48 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.48 % --bmc1_ucm_extend_mode 1
% 0.20/0.48 % --bmc1_ucm_init_mode 2
% 0.20/0.48 % --bmc1_ucm_cone_mode none
% 0.20/0.48 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.48 % --bmc1_ucm_relax_model 4
% 0.20/0.48 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.48 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.48 % --bmc1_ucm_layered_model none
% 0.20/0.48 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.48
% 0.20/0.48 % ------ AIG Options
% 0.20/0.48
% 0.20/0.48 % --aig_mode false
% 0.20/0.48
% 0.20/0.48 % ------ Instantiation Options
% 0.20/0.48
% 0.20/0.48 % --instantiation_flag true
% 0.20/0.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.48 % --inst_solver_per_active 750
% 0.20/0.48 % --inst_solver_calls_frac 0.5
% 0.20/0.48 % --inst_passive_queue_type priority_queues
% 0.20/0.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48 % --inst_passive_queues_freq [25;2]
% 0.20/0.48 % --inst_dismatching true
% 0.20/0.48 % --inst_eager_unprocessed_to_passive true
% 0.20/0.48 % --inst_prop_sim_given true
% 0.20/0.48 % --inst_prop_sim_new false
% 0.20/0.48 % --inst_orphan_elimination true
% 0.20/0.48 % --inst_learning_loop_flag true
% 0.20/0.48 % --inst_learning_start 3000
% 0.20/0.48 % --inst_learning_factor 2
% 0.20/0.48 % --inst_start_prop_sim_after_learn 3
% 0.20/0.48 % --inst_sel_renew solver
% 0.20/0.48 % --inst_lit_activity_flag true
% 0.20/0.48 % --inst_out_proof true
% 0.20/0.48
% 0.20/0.48 % ------ Resolution Options
% 0.20/0.48
% 0.20/0.48 % --resolution_flag true
% 0.20/0.48 % --res_lit_sel kbo_max
% 0.20/0.48 % --res_to_prop_solver none
% 0.20/0.48 % --res_prop_simpl_new false
% 0.20/0.48 % --res_prop_simpl_given false
% 0.20/0.48 % --res_passive_queue_type priority_queues
% 0.20/0.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.48 % --res_passive_queues_freq [15;5]
% 0.20/0.48 % --res_forward_subs full
% 0.20/0.48 % --res_backward_subs full
% 0.20/0.48 % --res_forward_subs_resolution true
% 0.20/0.48 % --res_backward_subs_resolution true
% 0.20/0.48 % --res_orphan_elimination false
% 0.20/0.48 % --res_time_limit 1000.
% 0.20/0.48 % --res_out_proof true
% 0.20/0.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_c4497d.s
% 0.20/0.48 % --modulo true
% 0.20/0.48
% 0.20/0.48 % ------ Combination Options
% 0.20/0.48
% 0.20/0.48 % --comb_res_mult 1000
% 0.20/0.48 % --comb_inst_mult 300
% 0.20/0.48 % ------
% 0.20/0.48
% 0.20/0.48 % ------ Parsing...% successful
% 0.20/0.48
% 0.20/0.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.48
% 0.20/0.48 % ------ Proving...
% 0.20/0.48 % ------ Problem Properties
% 0.20/0.48
% 0.20/0.48 %
% 0.20/0.48 % EPR false
% 0.20/0.48 % Horn false
% 0.20/0.48 % Has equality true
% 0.20/0.48
% 0.20/0.48 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % % ------ Current options:
% 0.20/0.48
% 0.20/0.48 % ------ Input Options
% 0.20/0.48
% 0.20/0.48 % --out_options all
% 0.20/0.48 % --tptp_safe_out true
% 0.20/0.48 % --problem_path ""
% 0.20/0.48 % --include_path ""
% 0.20/0.48 % --clausifier .//eprover
% 0.20/0.48 % --clausifier_options --tstp-format
% 0.20/0.48 % --stdin false
% 0.20/0.48 % --dbg_backtrace false
% 0.20/0.48 % --dbg_dump_prop_clauses false
% 0.20/0.48 % --dbg_dump_prop_clauses_file -
% 0.20/0.48 % --dbg_out_stat false
% 0.20/0.48
% 0.20/0.48 % ------ General Options
% 0.20/0.48
% 0.20/0.48 % --fof false
% 0.20/0.48 % --time_out_real 150.
% 0.20/0.48 % --time_out_prep_mult 0.2
% 0.20/0.48 % --time_out_virtual -1.
% 0.20/0.48 % --schedule none
% 0.20/0.48 % --ground_splitting input
% 0.20/0.48 % --splitting_nvd 16
% 0.20/0.48 % --non_eq_to_eq false
% 0.20/0.48 % --prep_gs_sim true
% 0.20/0.48 % --prep_unflatten false
% 0.20/0.48 % --prep_res_sim true
% 0.20/0.48 % --prep_upred true
% 0.20/0.48 % --res_sim_input true
% 0.20/0.48 % --clause_weak_htbl true
% 0.20/0.48 % --gc_record_bc_elim false
% 0.20/0.48 % --symbol_type_check false
% 0.20/0.48 % --clausify_out false
% 0.20/0.48 % --large_theory_mode false
% 0.20/0.48 % --prep_sem_filter none
% 0.20/0.48 % --prep_sem_filter_out false
% 0.20/0.48 % --preprocessed_out false
% 0.20/0.48 % --sub_typing false
% 0.20/0.48 % --brand_transform false
% 0.20/0.48 % --pure_diseq_elim true
% 0.20/0.48 % --min_unsat_core false
% 0.20/0.48 % --pred_elim true
% 0.20/0.48 % --add_important_lit false
% 0.20/0.48 % --soft_assumptions false
% 0.20/0.48 % --reset_solvers false
% 0.20/0.48 % --bc_imp_inh []
% 0.20/0.48 % --conj_cone_tolerance 1.5
% 0.20/0.48 % --prolific_symb_bound 500
% 0.20/0.48 % --lt_threshold 2000
% 0.20/0.48
% 0.20/0.48 % ------ SAT Options
% 0.20/0.48
% 0.20/0.48 % --sat_mode false
% 0.20/0.48 % --sat_fm_restart_options ""
% 0.20/0.48 % --sat_gr_def false
% 0.20/0.48 % --sat_epr_types true
% 0.20/0.48 % --sat_non_cyclic_types false
% 0.20/0.48 % --sat_finite_models false
% 0.20/0.48 % --sat_fm_lemmas false
% 0.20/0.48 % --sat_fm_prep false
% 0.20/0.48 % --sat_fm_uc_incr true
% 0.20/0.48 % --sat_out_model small
% 0.20/0.48 % --sat_out_clauses false
% 0.20/0.48
% 0.20/0.48 % ------ QBF Options
% 0.20/0.48
% 0.20/0.48 % --qbf_mode false
% 0.20/0.48 % --qbf_elim_univ true
% 0.20/0.48 % --qbf_sk_in true
% 0.20/0.48 % --qbf_pred_elim true
% 0.20/0.48 % --qbf_split 32
% 0.20/0.48
% 0.20/0.48 % ------ BMC1 Options
% 0.20/0.48
% 0.20/0.48 % --bmc1_incremental false
% 0.20/0.48 % --bmc1_axioms reachable_all
% 0.20/0.48 % --bmc1_min_bound 0
% 0.20/0.48 % --bmc1_max_bound -1
% 0.20/0.48 % --bmc1_max_bound_default -1
% 0.20/0.48 % --bmc1_symbol_reachability true
% 0.20/0.48 % --bmc1_property_lemmas false
% 0.20/0.48 % --bmc1_k_induction false
% 0.20/0.48 % --bmc1_non_equiv_states false
% 0.20/0.48 % --bmc1_deadlock false
% 0.20/0.48 % --bmc1_ucm false
% 0.20/0.48 % --bmc1_add_unsat_core none
% 0.20/0.48 % --bmc1_unsat_core_children false
% 0.20/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.48 % --bmc1_out_stat full
% 0.20/0.48 % --bmc1_ground_init false
% 0.20/0.48 % --bmc1_pre_inst_next_state false
% 0.20/0.48 % --bmc1_pre_inst_state false
% 0.20/0.48 % --bmc1_pre_inst_reach_state false
% 0.20/0.48 % --bmc1_out_unsat_core false
% 0.20/0.48 % --bmc1_aig_witness_out false
% 0.20/0.48 % --bmc1_verbose false
% 0.20/0.48 % --bmc1_dump_clauses_tptp false
% 0.20/0.48 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.48 % --bmc1_dump_file -
% 0.20/0.48 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.48 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.48 % --bmc1_ucm_extend_mode 1
% 0.20/0.48 % --bmc1_ucm_init_mode 2
% 0.20/0.48 % --bmc1_ucm_cone_mode none
% 0.20/0.48 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.48 % --bmc1_ucm_relax_model 4
% 0.20/0.48 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.48 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.48 % --bmc1_ucm_layered_model none
% 0.20/0.48 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.48
% 0.20/0.48 % ------ AIG Options
% 0.20/0.48
% 0.20/0.48 % --aig_mode false
% 0.20/0.48
% 0.20/0.48 % ------ Instantiation Options
% 0.20/0.48
% 0.20/0.48 % --instantiation_flag true
% 0.20/0.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.48 % --inst_solver_per_active 750
% 0.20/0.48 % --inst_solver_calls_frac 0.5
% 0.20/0.48 % --inst_passive_queue_type priority_queues
% 0.20/0.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48 % --inst_passive_queues_freq [25;2]
% 0.20/0.48 % --inst_dismatching true
% 0.20/0.48 % --inst_eager_unprocessed_to_passive true
% 0.20/0.48 % --inst_prop_sim_given true
% 1.01/1.19 % --inst_prop_sim_new false
% 1.01/1.19 % --inst_orphan_elimination true
% 1.01/1.19 % --inst_learning_loop_flag true
% 1.01/1.19 % --inst_learning_start 3000
% 1.01/1.19 % --inst_learning_factor 2
% 1.01/1.19 % --inst_start_prop_sim_after_learn 3
% 1.01/1.19 % --inst_sel_renew solver
% 1.01/1.19 % --inst_lit_activity_flag true
% 1.01/1.19 % --inst_out_proof true
% 1.01/1.19
% 1.01/1.19 % ------ Resolution Options
% 1.01/1.19
% 1.01/1.19 % --resolution_flag true
% 1.01/1.19 % --res_lit_sel kbo_max
% 1.01/1.19 % --res_to_prop_solver none
% 1.01/1.19 % --res_prop_simpl_new false
% 1.01/1.19 % --res_prop_simpl_given false
% 1.01/1.19 % --res_passive_queue_type priority_queues
% 1.01/1.19 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.01/1.19 % --res_passive_queues_freq [15;5]
% 1.01/1.19 % --res_forward_subs full
% 1.01/1.19 % --res_backward_subs full
% 1.01/1.19 % --res_forward_subs_resolution true
% 1.01/1.19 % --res_backward_subs_resolution true
% 1.01/1.19 % --res_orphan_elimination false
% 1.01/1.19 % --res_time_limit 1000.
% 1.01/1.19 % --res_out_proof true
% 1.01/1.19 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_c4497d.s
% 1.01/1.19 % --modulo true
% 1.01/1.19
% 1.01/1.19 % ------ Combination Options
% 1.01/1.19
% 1.01/1.19 % --comb_res_mult 1000
% 1.01/1.19 % --comb_inst_mult 300
% 1.01/1.19 % ------
% 1.01/1.19
% 1.01/1.19
% 1.01/1.19
% 1.01/1.19 % ------ Proving...
% 1.01/1.19 %
% 1.01/1.19
% 1.01/1.19
% 1.01/1.19 % Resolution empty clause
% 1.01/1.19
% 1.01/1.19 % ------ Statistics
% 1.01/1.19
% 1.01/1.19 % ------ General
% 1.01/1.19
% 1.01/1.19 % num_of_input_clauses: 273
% 1.01/1.19 % num_of_input_neg_conjectures: 5
% 1.01/1.19 % num_of_splits: 0
% 1.01/1.19 % num_of_split_atoms: 0
% 1.01/1.19 % num_of_sem_filtered_clauses: 0
% 1.01/1.19 % num_of_subtypes: 0
% 1.01/1.19 % monotx_restored_types: 0
% 1.01/1.19 % sat_num_of_epr_types: 0
% 1.01/1.19 % sat_num_of_non_cyclic_types: 0
% 1.01/1.19 % sat_guarded_non_collapsed_types: 0
% 1.01/1.19 % is_epr: 0
% 1.01/1.19 % is_horn: 0
% 1.01/1.19 % has_eq: 1
% 1.01/1.19 % num_pure_diseq_elim: 0
% 1.01/1.19 % simp_replaced_by: 0
% 1.01/1.19 % res_preprocessed: 26
% 1.01/1.19 % prep_upred: 0
% 1.01/1.19 % prep_unflattend: 0
% 1.01/1.19 % pred_elim_cands: 2
% 1.01/1.19 % pred_elim: 2
% 1.01/1.19 % pred_elim_cl: 4
% 1.01/1.19 % pred_elim_cycles: 3
% 1.01/1.19 % forced_gc_time: 0
% 1.01/1.19 % gc_basic_clause_elim: 0
% 1.01/1.19 % parsing_time: 0.014
% 1.01/1.19 % sem_filter_time: 0.
% 1.01/1.19 % pred_elim_time: 0.
% 1.01/1.19 % out_proof_time: 0.
% 1.01/1.19 % monotx_time: 0.
% 1.01/1.19 % subtype_inf_time: 0.
% 1.01/1.19 % unif_index_cands_time: 0.001
% 1.01/1.19 % unif_index_add_time: 0.001
% 1.01/1.19 % total_time: 0.765
% 1.01/1.19 % num_of_symbols: 55
% 1.01/1.19 % num_of_terms: 6948
% 1.01/1.19
% 1.01/1.19 % ------ Propositional Solver
% 1.01/1.19
% 1.01/1.19 % prop_solver_calls: 1
% 1.01/1.19 % prop_fast_solver_calls: 55
% 1.01/1.19 % prop_num_of_clauses: 187
% 1.01/1.19 % prop_preprocess_simplified: 985
% 1.01/1.19 % prop_fo_subsumed: 0
% 1.01/1.19 % prop_solver_time: 0.
% 1.01/1.19 % prop_fast_solver_time: 0.
% 1.01/1.19 % prop_unsat_core_time: 0.
% 1.01/1.19
% 1.01/1.19 % ------ QBF
% 1.01/1.19
% 1.01/1.19 % qbf_q_res: 0
% 1.01/1.19 % qbf_num_tautologies: 0
% 1.01/1.19 % qbf_prep_cycles: 0
% 1.01/1.19
% 1.01/1.19 % ------ BMC1
% 1.01/1.19
% 1.01/1.19 % bmc1_current_bound: -1
% 1.01/1.19 % bmc1_last_solved_bound: -1
% 1.01/1.19 % bmc1_unsat_core_size: -1
% 1.01/1.19 % bmc1_unsat_core_parents_size: -1
% 1.01/1.19 % bmc1_merge_next_fun: 0
% 1.01/1.19 % bmc1_unsat_core_clauses_time: 0.
% 1.01/1.19
% 1.01/1.19 % ------ Instantiation
% 1.01/1.19
% 1.01/1.19 % inst_num_of_clauses: 262
% 1.01/1.19 % inst_num_in_passive: 0
% 1.01/1.19 % inst_num_in_active: 0
% 1.01/1.19 % inst_num_in_unprocessed: 267
% 1.01/1.19 % inst_num_of_loops: 0
% 1.01/1.19 % inst_num_of_learning_restarts: 0
% 1.01/1.19 % inst_num_moves_active_passive: 0
% 1.01/1.19 % inst_lit_activity: 0
% 1.01/1.19 % inst_lit_activity_moves: 0
% 1.01/1.19 % inst_num_tautologies: 0
% 1.01/1.19 % inst_num_prop_implied: 0
% 1.01/1.19 % inst_num_existing_simplified: 0
% 1.01/1.19 % inst_num_eq_res_simplified: 0
% 1.01/1.19 % inst_num_child_elim: 0
% 1.01/1.19 % inst_num_of_dismatching_blockings: 0
% 1.01/1.19 % inst_num_of_non_proper_insts: 0
% 1.01/1.19 % inst_num_of_duplicates: 0
% 1.01/1.19 % inst_inst_num_from_inst_to_res: 0
% 1.01/1.19 % inst_dismatching_checking_time: 0.
% 1.01/1.19
% 1.01/1.19 % ------ Resolution
% 1.01/1.19
% 1.01/1.19 % res_num_of_clauses: 4040
% 1.01/1.19 % res_num_in_passive: 3394
% 1.01/1.19 % res_num_in_active: 421
% 1.01/1.19 % res_num_of_loops: 456
% 1.01/1.19 % res_forward_subset_subsumed: 570
% 1.01/1.19 % res_backward_subset_subsumed: 3
% 1.01/1.19 % res_forward_subsumed: 110
% 1.01/1.19 % res_backward_subsumed: 1
% 1.01/1.19 % res_forward_subsumption_resolution: 204
% 1.01/1.19 % res_backward_subsumption_resolution: 26
% 1.01/1.19 % res_clause_to_clause_subsumption: 23128
% 1.01/1.19 % res_orphan_elimination: 0
% 1.01/1.19 % res_tautology_del: 211
% 1.01/1.19 % res_num_eq_res_simplified: 0
% 1.01/1.19 % res_num_sel_changes: 0
% 1.01/1.19 % res_moves_from_active_to_pass: 0
% 1.01/1.19
% 1.01/1.19 % Status Unsatisfiable
% 1.01/1.19 % SZS status Theorem
% 1.01/1.19 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------