TSTP Solution File: NUM450+6 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.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 10:57:32 EDT 2022
% Result : Theorem 0.50s 0.68s
% Output : CNFRefutation 0.50s
% 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(mUnionSClosed,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isClosed0(W1) ) ) )
=> isClosed0(sbsmnsldt0(W0)) ),
input ).
fof(mUnionSClosed_0,plain,
! [W0] :
( isClosed0(sbsmnsldt0(W0))
| ~ ( aSet0(W0)
& isFinite0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isClosed0(W1) ) ) ) ),
inference(orientation,[status(thm)],[mUnionSClosed]) ).
fof(mUnionClosed,axiom,
! [W0,W1] :
( ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isClosed0(W0)
& isClosed0(W1) )
=> isClosed0(sdtbsmnsldt0(W0,W1)) ),
input ).
fof(mUnionClosed_0,plain,
! [W0,W1] :
( isClosed0(sdtbsmnsldt0(W0,W1))
| ~ ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isClosed0(W0)
& isClosed0(W1) ) ),
inference(orientation,[status(thm)],[mUnionClosed]) ).
fof(mInterOpen,axiom,
! [W0,W1] :
( ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isOpen0(W0)
& isOpen0(W1) )
=> isOpen0(sdtslmnbsdt0(W0,W1)) ),
input ).
fof(mInterOpen_0,plain,
! [W0,W1] :
( isOpen0(sdtslmnbsdt0(W0,W1))
| ~ ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isOpen0(W0)
& isOpen0(W1) ) ),
inference(orientation,[status(thm)],[mInterOpen]) ).
fof(mUnionOpen,axiom,
! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isOpen0(W1) ) ) )
=> isOpen0(sbsmnsldt0(W0)) ),
input ).
fof(mUnionOpen_0,plain,
! [W0] :
( isOpen0(sbsmnsldt0(W0))
| ~ ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isOpen0(W1) ) ) ) ),
inference(orientation,[status(thm)],[mUnionOpen]) ).
fof(mClosed,axiom,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) ) ),
input ).
fof(mClosed_0,plain,
! [W0] :
( ~ aSubsetOf0(W0,cS1395)
| ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) ) ),
inference(orientation,[status(thm)],[mClosed]) ).
fof(mOpen,axiom,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ( isOpen0(W0)
<=> ! [W1] :
( aElementOf0(W1,W0)
=> ? [W2] :
( aInteger0(W2)
& W2 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) ) ) ),
input ).
fof(mOpen_0,plain,
! [W0] :
( ~ aSubsetOf0(W0,cS1395)
| ( isOpen0(W0)
<=> ! [W1] :
( aElementOf0(W1,W0)
=> ? [W2] :
( aInteger0(W2)
& W2 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) ) ) ),
inference(orientation,[status(thm)],[mOpen]) ).
fof(mComplement,axiom,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ! [W1] :
( W1 = stldt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aInteger0(W2)
& ~ aElementOf0(W2,W0) ) ) ) ) ),
input ).
fof(mComplement_0,plain,
! [W0] :
( ~ aSubsetOf0(W0,cS1395)
| ! [W1] :
( W1 = stldt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aInteger0(W2)
& ~ aElementOf0(W2,W0) ) ) ) ) ),
inference(orientation,[status(thm)],[mComplement]) ).
fof(mFinSet,axiom,
! [W0] :
( aSet0(W0)
=> ( isFinite0(W0)
=> $true ) ),
input ).
fof(mFinSet_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( isFinite0(W0)
=> $true ) ),
inference(orientation,[status(thm)],[mFinSet]) ).
fof(mSubset,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
input ).
fof(mSubset_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(orientation,[status(thm)],[mSubset]) ).
fof(mElements,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> $true ) ),
input ).
fof(mElements_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> $true ) ),
inference(orientation,[status(thm)],[mElements]) ).
fof(mSets,axiom,
! [W0] :
( aSet0(W0)
=> $true ),
input ).
fof(mSets_0,plain,
! [W0] :
( ~ aSet0(W0)
| $true ),
inference(orientation,[status(thm)],[mSets]) ).
fof(mPrimeDivisor,axiom,
! [W0] :
( aInteger0(W0)
=> ( ? [W1] :
( aDivisorOf0(W1,W0)
& isPrime0(W1) )
<=> ( W0 != sz10
& W0 != smndt0(sz10) ) ) ),
input ).
fof(mPrimeDivisor_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( ? [W1] :
( aDivisorOf0(W1,W0)
& isPrime0(W1) )
<=> ( W0 != sz10
& W0 != smndt0(sz10) ) ) ),
inference(orientation,[status(thm)],[mPrimeDivisor]) ).
fof(mEquModRef,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 )
=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
input ).
fof(mEquModRef_0,plain,
! [W0,W1] :
( sdteqdtlpzmzozddtrp0(W0,W0,W1)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 ) ),
inference(orientation,[status(thm)],[mEquModRef]) ).
fof(mDivisor,axiom,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
input ).
fof(mDivisor_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
inference(orientation,[status(thm)],[mDivisor]) ).
fof(mMulMinOne,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
input ).
fof(mMulMinOne_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
inference(orientation,[status(thm)],[mMulMinOne]) ).
fof(mMulZero,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
input ).
fof(mMulZero_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[mMulZero]) ).
fof(mMulOne,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
input ).
fof(mMulOne_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[mMulOne]) ).
fof(mMulComm,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
input ).
fof(mMulComm_0,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mMulComm]) ).
fof(mMulAsso,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
input ).
fof(mMulAsso_0,plain,
! [W0,W1,W2] :
( sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(orientation,[status(thm)],[mMulAsso]) ).
fof(mAddNeg,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
input ).
fof(mAddNeg_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(orientation,[status(thm)],[mAddNeg]) ).
fof(mAddZero,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
input ).
fof(mAddZero_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[mAddZero]) ).
fof(mAddComm,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
input ).
fof(mAddComm_0,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mAddComm]) ).
fof(mAddAsso,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
input ).
fof(mAddAsso_0,plain,
! [W0,W1,W2] :
( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(orientation,[status(thm)],[mAddAsso]) ).
fof(mIntMult,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
input ).
fof(mIntMult_0,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mIntMult]) ).
fof(mIntPlus,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtpldt0(W0,W1)) ),
input ).
fof(mIntPlus_0,plain,
! [W0,W1] :
( aInteger0(sdtpldt0(W0,W1))
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mIntPlus]) ).
fof(mIntNeg,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
input ).
fof(mIntNeg_0,plain,
! [W0] :
( ~ aInteger0(W0)
| aInteger0(smndt0(W0)) ),
inference(orientation,[status(thm)],[mIntNeg]) ).
fof(mIntOne,axiom,
aInteger0(sz10),
input ).
fof(mIntOne_0,plain,
( aInteger0(sz10)
| $false ),
inference(orientation,[status(thm)],[mIntOne]) ).
fof(mIntZero,axiom,
aInteger0(sz00),
input ).
fof(mIntZero_0,plain,
( aInteger0(sz00)
| $false ),
inference(orientation,[status(thm)],[mIntZero]) ).
fof(mIntegers,axiom,
! [W0] :
( aInteger0(W0)
=> $true ),
input ).
fof(mIntegers_0,plain,
! [W0] :
( ~ aInteger0(W0)
| $true ),
inference(orientation,[status(thm)],[mIntegers]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aInteger0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mIntegers_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> aInteger0(sz00) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[mIntZero_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> aInteger0(sz10) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[mIntOne_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom1(W0)
| aInteger0(smndt0(W0)) ),
inference(fold_definition,[status(thm)],[mIntNeg_0,def_lhs_atom1]) ).
fof(def_lhs_atom4,axiom,
! [W1,W0] :
( lhs_atom4(W1,W0)
<=> aInteger0(sdtpldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0,W1] :
( lhs_atom4(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mIntPlus_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W1,W0] :
( lhs_atom5(W1,W0)
<=> aInteger0(sdtasdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [W0,W1] :
( lhs_atom5(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mIntMult_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [W2,W1,W0] :
( lhs_atom6(W2,W1,W0)
<=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [W0,W1,W2] :
( lhs_atom6(W2,W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(fold_definition,[status(thm)],[mAddAsso_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [W1,W0] :
( lhs_atom7(W1,W0)
<=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [W0,W1] :
( lhs_atom7(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mAddComm_0,def_lhs_atom7]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[mAddZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_9,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(fold_definition,[status(thm)],[mAddNeg_0,def_lhs_atom1]) ).
fof(def_lhs_atom8,axiom,
! [W2,W1,W0] :
( lhs_atom8(W2,W1,W0)
<=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [W0,W1,W2] :
( lhs_atom8(W2,W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(fold_definition,[status(thm)],[mMulAsso_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [W1,W0] :
( lhs_atom9(W1,W0)
<=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [W0,W1] :
( lhs_atom9(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mMulComm_0,def_lhs_atom9]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[mMulOne_0,def_lhs_atom1]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[mMulZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
inference(fold_definition,[status(thm)],[mMulMinOne_0,def_lhs_atom1]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
inference(fold_definition,[status(thm)],[mDivisor_0,def_lhs_atom1]) ).
fof(def_lhs_atom10,axiom,
! [W1,W0] :
( lhs_atom10(W1,W0)
<=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [W0,W1] :
( lhs_atom10(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 ) ),
inference(fold_definition,[status(thm)],[mEquModRef_0,def_lhs_atom10]) ).
fof(to_be_clausified_17,plain,
! [W0] :
( lhs_atom1(W0)
| ( ? [W1] :
( aDivisorOf0(W1,W0)
& isPrime0(W1) )
<=> ( W0 != sz10
& W0 != smndt0(sz10) ) ) ),
inference(fold_definition,[status(thm)],[mPrimeDivisor_0,def_lhs_atom1]) ).
fof(def_lhs_atom11,axiom,
! [W0] :
( lhs_atom11(W0)
<=> ~ aSet0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [W0] :
( lhs_atom11(W0)
| $true ),
inference(fold_definition,[status(thm)],[mSets_0,def_lhs_atom11]) ).
fof(to_be_clausified_19,plain,
! [W0] :
( lhs_atom11(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> $true ) ),
inference(fold_definition,[status(thm)],[mElements_0,def_lhs_atom11]) ).
fof(to_be_clausified_20,plain,
! [W0] :
( lhs_atom11(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mSubset_0,def_lhs_atom11]) ).
fof(to_be_clausified_21,plain,
! [W0] :
( lhs_atom11(W0)
| ( isFinite0(W0)
=> $true ) ),
inference(fold_definition,[status(thm)],[mFinSet_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [W0] :
( lhs_atom12(W0)
<=> ~ aSubsetOf0(W0,cS1395) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [W0] :
( lhs_atom12(W0)
| ! [W1] :
( W1 = stldt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aInteger0(W2)
& ~ aElementOf0(W2,W0) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mComplement_0,def_lhs_atom12]) ).
fof(to_be_clausified_23,plain,
! [W0] :
( lhs_atom12(W0)
| ( isOpen0(W0)
<=> ! [W1] :
( aElementOf0(W1,W0)
=> ? [W2] :
( aInteger0(W2)
& W2 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mOpen_0,def_lhs_atom12]) ).
fof(to_be_clausified_24,plain,
! [W0] :
( lhs_atom12(W0)
| ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) ) ),
inference(fold_definition,[status(thm)],[mClosed_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [W0] :
( lhs_atom13(W0)
<=> isOpen0(sbsmnsldt0(W0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [W0] :
( lhs_atom13(W0)
| ~ ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isOpen0(W1) ) ) ) ),
inference(fold_definition,[status(thm)],[mUnionOpen_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [W1,W0] :
( lhs_atom14(W1,W0)
<=> isOpen0(sdtslmnbsdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [W0,W1] :
( lhs_atom14(W1,W0)
| ~ ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isOpen0(W0)
& isOpen0(W1) ) ),
inference(fold_definition,[status(thm)],[mInterOpen_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [W1,W0] :
( lhs_atom15(W1,W0)
<=> isClosed0(sdtbsmnsldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [W0,W1] :
( lhs_atom15(W1,W0)
| ~ ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395)
& isClosed0(W0)
& isClosed0(W1) ) ),
inference(fold_definition,[status(thm)],[mUnionClosed_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [W0] :
( lhs_atom16(W0)
<=> isClosed0(sbsmnsldt0(W0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [W0] :
( lhs_atom16(W0)
| ~ ( aSet0(W0)
& isFinite0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( aSubsetOf0(W1,cS1395)
& isClosed0(W1) ) ) ) ),
inference(fold_definition,[status(thm)],[mUnionSClosed_0,def_lhs_atom16]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom12(X1)
| ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom12(X1)
| ( isOpen0(X1)
<=> ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) ) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom11(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_3,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_4,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom15(X2,X1)
| ~ ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isClosed0(X1)
& isClosed0(X2) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom14(X2,X1)
| ~ ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isOpen0(X1)
& isOpen0(X2) ) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_7,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom16(X1)
| ~ ( aSet0(X1)
& isFinite0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isClosed0(X2) ) ) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom13(X1)
| ~ ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isOpen0(X2) ) ) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ? [X2] :
( aDivisorOf0(X2,X1)
& isPrime0(X2) )
<=> ( X1 != sz10
& X1 != smndt0(sz10) ) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_11,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_12,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_13,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_14,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_15,axiom,
! [X2,X1] :
( lhs_atom4(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom12(X1)
| ( isClosed0(X1)
<=> isOpen0(stldt0(X1)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_17,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_18,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| aInteger0(smndt0(X1)) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom11(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> $true ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom11(X1)
| ( isFinite0(X1)
=> $true ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom11(X1)
| $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_26,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_27,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_29,plain,
! [X1] :
( lhs_atom12(X1)
| ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom12(X1)
| ( isOpen0(X1)
<=> ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) ) ) ),
c_0_1 ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom11(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
c_0_2 ).
fof(c_0_32,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
c_0_3 ).
fof(c_0_33,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
c_0_4 ).
fof(c_0_34,axiom,
! [X2,X1] :
( lhs_atom15(X2,X1)
| ~ ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isClosed0(X1)
& isClosed0(X2) ) ),
c_0_5 ).
fof(c_0_35,axiom,
! [X2,X1] :
( lhs_atom14(X2,X1)
| ~ ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isOpen0(X1)
& isOpen0(X2) ) ),
c_0_6 ).
fof(c_0_36,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
c_0_7 ).
fof(c_0_37,axiom,
! [X1] :
( lhs_atom16(X1)
| ~ ( aSet0(X1)
& isFinite0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isClosed0(X2) ) ) ) ),
c_0_8 ).
fof(c_0_38,axiom,
! [X1] :
( lhs_atom13(X1)
| ~ ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isOpen0(X2) ) ) ) ),
c_0_9 ).
fof(c_0_39,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ? [X2] :
( aDivisorOf0(X2,X1)
& isPrime0(X2) )
<=> ( X1 != sz10
& X1 != smndt0(sz10) ) ) ),
c_0_10 ).
fof(c_0_40,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 ) ),
c_0_11 ).
fof(c_0_41,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_12 ).
fof(c_0_42,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_13 ).
fof(c_0_43,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_14 ).
fof(c_0_44,axiom,
! [X2,X1] :
( lhs_atom4(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_15 ).
fof(c_0_45,axiom,
! [X1] :
( lhs_atom12(X1)
| ( isClosed0(X1)
<=> isOpen0(stldt0(X1)) ) ),
c_0_16 ).
fof(c_0_46,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
c_0_17 ).
fof(c_0_47,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
c_0_18 ).
fof(c_0_48,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_19 ).
fof(c_0_49,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_20 ).
fof(c_0_50,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_21 ).
fof(c_0_51,axiom,
! [X1] :
( lhs_atom1(X1)
| aInteger0(smndt0(X1)) ),
c_0_22 ).
fof(c_0_52,plain,
! [X1] :
( lhs_atom11(X1)
| ! [X2] : $true ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_53,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_54,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_55,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_56,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_57,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_58,plain,
! [X4,X5,X6,X7,X8] :
( ( aSet0(X5)
| X5 != stldt0(X4)
| lhs_atom12(X4) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,X5)
| X5 != stldt0(X4)
| lhs_atom12(X4) )
& ( ~ aElementOf0(X6,X4)
| ~ aElementOf0(X6,X5)
| X5 != stldt0(X4)
| lhs_atom12(X4) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,X4)
| aElementOf0(X7,X5)
| X5 != stldt0(X4)
| lhs_atom12(X4) )
& ( ~ aElementOf0(esk4_2(X4,X8),X8)
| ~ aInteger0(esk4_2(X4,X8))
| aElementOf0(esk4_2(X4,X8),X4)
| ~ aSet0(X8)
| X8 = stldt0(X4)
| lhs_atom12(X4) )
& ( aInteger0(esk4_2(X4,X8))
| aElementOf0(esk4_2(X4,X8),X8)
| ~ aSet0(X8)
| X8 = stldt0(X4)
| lhs_atom12(X4) )
& ( ~ aElementOf0(esk4_2(X4,X8),X4)
| aElementOf0(esk4_2(X4,X8),X8)
| ~ aSet0(X8)
| X8 = stldt0(X4)
| lhs_atom12(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_29])])])])])]) ).
fof(c_0_59,plain,
! [X4,X5,X8] :
( ( aInteger0(esk5_2(X4,X5))
| ~ aElementOf0(X5,X4)
| ~ isOpen0(X4)
| lhs_atom12(X4) )
& ( esk5_2(X4,X5) != sz00
| ~ aElementOf0(X5,X4)
| ~ isOpen0(X4)
| lhs_atom12(X4) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,esk5_2(X4,X5)),X4)
| ~ aElementOf0(X5,X4)
| ~ isOpen0(X4)
| lhs_atom12(X4) )
& ( aElementOf0(esk6_1(X4),X4)
| isOpen0(X4)
| lhs_atom12(X4) )
& ( ~ aInteger0(X8)
| X8 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk6_1(X4),X8),X4)
| isOpen0(X4)
| lhs_atom12(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
fof(c_0_60,plain,
! [X4,X5,X6,X7] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| lhs_atom11(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| lhs_atom11(X4) )
& ( aElementOf0(esk3_2(X4,X7),X7)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom11(X4) )
& ( ~ aElementOf0(esk3_2(X4,X7),X4)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom11(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_31])])])])])]) ).
fof(c_0_61,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| ~ aInteger0(X6)
| ~ aInteger0(X5)
| ~ aInteger0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_62,plain,
! [X4,X5,X6] :
( lhs_atom6(X4,X5,X6)
| ~ aInteger0(X6)
| ~ aInteger0(X5)
| ~ aInteger0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_63,plain,
! [X3,X4] :
( lhs_atom15(X3,X4)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X3,cS1395)
| ~ isClosed0(X4)
| ~ isClosed0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_64,plain,
! [X3,X4] :
( lhs_atom14(X3,X4)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X3,cS1395)
| ~ isOpen0(X4)
| ~ isOpen0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_65,plain,
! [X4,X5,X7,X8] :
( ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( X5 != sz00
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( aInteger0(esk1_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( sdtasdt0(X5,esk1_2(X4,X5)) = X4
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( ~ aInteger0(X7)
| X7 = sz00
| ~ aInteger0(X8)
| sdtasdt0(X7,X8) != X4
| aDivisorOf0(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_36])])])])])]) ).
fof(c_0_66,plain,
! [X3] :
( ( aElementOf0(esk8_1(X3),X3)
| ~ isFinite0(X3)
| ~ aSet0(X3)
| lhs_atom16(X3) )
& ( ~ aSubsetOf0(esk8_1(X3),cS1395)
| ~ isClosed0(esk8_1(X3))
| ~ isFinite0(X3)
| ~ aSet0(X3)
| lhs_atom16(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_67,plain,
! [X3] :
( ( aElementOf0(esk7_1(X3),X3)
| ~ aSet0(X3)
| lhs_atom13(X3) )
& ( ~ aSubsetOf0(esk7_1(X3),cS1395)
| ~ isOpen0(esk7_1(X3))
| ~ aSet0(X3)
| lhs_atom13(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_68,plain,
! [X3,X4] :
( ( X3 != sz10
| ~ aDivisorOf0(X4,X3)
| ~ isPrime0(X4)
| lhs_atom1(X3) )
& ( X3 != smndt0(sz10)
| ~ aDivisorOf0(X4,X3)
| ~ isPrime0(X4)
| lhs_atom1(X3) )
& ( aDivisorOf0(esk2_1(X3),X3)
| X3 = sz10
| X3 = smndt0(sz10)
| lhs_atom1(X3) )
& ( isPrime0(esk2_1(X3))
| X3 = sz10
| X3 = smndt0(sz10)
| lhs_atom1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])]) ).
fof(c_0_69,plain,
! [X3,X4] :
( lhs_atom10(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| X3 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_70,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
fof(c_0_71,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_73,plain,
! [X3,X4] :
( lhs_atom4(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_74,plain,
! [X2] :
( ( ~ isClosed0(X2)
| isOpen0(stldt0(X2))
| lhs_atom12(X2) )
& ( ~ isOpen0(stldt0(X2))
| isClosed0(X2)
| lhs_atom12(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_75,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| lhs_atom1(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_46])]) ).
fof(c_0_76,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| lhs_atom1(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).
fof(c_0_77,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| lhs_atom1(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
fof(c_0_78,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| lhs_atom1(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_79,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| lhs_atom1(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_50])]) ).
fof(c_0_80,plain,
! [X2] :
( lhs_atom1(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_81,plain,
! [X3,X4] :
( lhs_atom11(X3)
| $true ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_52])])]) ).
fof(c_0_82,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_83,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_84,plain,
lhs_atom3,
c_0_55 ).
fof(c_0_85,plain,
lhs_atom2,
c_0_56 ).
fof(c_0_86,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_57]) ).
cnf(c_0_87,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_88,plain,
( lhs_atom12(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,esk5_2(X1,X2)),X1)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_89,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_90,plain,
( lhs_atom12(X1)
| isOpen0(X1)
| X2 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk6_1(X1),X2),X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_91,plain,
( lhs_atom11(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_92,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_93,plain,
( lhs_atom8(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_94,plain,
( lhs_atom6(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_95,plain,
( lhs_atom15(X1,X2)
| ~ isClosed0(X1)
| ~ isClosed0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_96,plain,
( lhs_atom14(X1,X2)
| ~ isOpen0(X1)
| ~ isOpen0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97,plain,
( lhs_atom1(X1)
| sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98,plain,
( lhs_atom11(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk3_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_99,plain,
( lhs_atom16(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ isClosed0(esk8_1(X1))
| ~ aSubsetOf0(esk8_1(X1),cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( lhs_atom12(X1)
| aInteger0(esk5_2(X1,X2))
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_101,plain,
( lhs_atom11(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_102,plain,
( lhs_atom1(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_103,plain,
( lhs_atom13(X1)
| ~ aSet0(X1)
| ~ isOpen0(esk7_1(X1))
| ~ aSubsetOf0(esk7_1(X1),cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_104,plain,
( lhs_atom12(X1)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_105,plain,
( lhs_atom1(X1)
| aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_106,plain,
( lhs_atom12(X1)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1)
| esk5_2(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_107,plain,
( lhs_atom12(X1)
| aElementOf0(X3,X2)
| aElementOf0(X3,X1)
| X2 != stldt0(X1)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_108,plain,
( lhs_atom1(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_109,plain,
( lhs_atom12(X1)
| aInteger0(X3)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_110,plain,
( lhs_atom16(X1)
| aElementOf0(esk8_1(X1),X1)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_111,plain,
( lhs_atom1(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_112,plain,
( lhs_atom13(X1)
| aElementOf0(esk7_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_113,plain,
( lhs_atom11(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_114,plain,
( lhs_atom1(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_115,plain,
( lhs_atom1(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| aDivisorOf0(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_116,plain,
( X1 = sz00
| lhs_atom10(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_117,plain,
( lhs_atom12(X1)
| isOpen0(X1)
| aElementOf0(esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_118,plain,
( lhs_atom1(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_119,plain,
( lhs_atom9(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_120,plain,
( lhs_atom7(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_121,plain,
( lhs_atom5(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_122,plain,
( lhs_atom4(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_123,plain,
( lhs_atom12(X1)
| isClosed0(X1)
| ~ isOpen0(stldt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_124,plain,
( lhs_atom1(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_125,plain,
( lhs_atom1(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_126,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_127,plain,
( lhs_atom1(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_128,plain,
( lhs_atom12(X1)
| isOpen0(stldt0(X1))
| ~ isClosed0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_129,plain,
( lhs_atom1(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| isPrime0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_130,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_131,plain,
( lhs_atom1(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_132,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_133,plain,
( lhs_atom1(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_134,plain,
( lhs_atom12(X1)
| aSet0(X2)
| X2 != stldt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_135,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_136,plain,
( lhs_atom1(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_137,plain,
( aInteger0(smndt0(X1))
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_138,plain,
( $true
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_139,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_140,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_141,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_142,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_143,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_144,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
c_0_87,
[final] ).
cnf(c_0_145,plain,
( lhs_atom12(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,esk5_2(X1,X2)),X1)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
c_0_88,
[final] ).
cnf(c_0_146,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X1) ),
c_0_89,
[final] ).
cnf(c_0_147,plain,
( lhs_atom12(X1)
| isOpen0(X1)
| X2 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk6_1(X1),X2),X1)
| ~ aInteger0(X2) ),
c_0_90,
[final] ).
cnf(c_0_148,plain,
( lhs_atom11(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk3_2(X1,X2),X1) ),
c_0_91,
[final] ).
cnf(c_0_149,plain,
( lhs_atom12(X1)
| X2 = stldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X2) ),
c_0_92,
[final] ).
cnf(c_0_150,plain,
( lhs_atom8(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_93,
[final] ).
cnf(c_0_151,plain,
( lhs_atom6(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_94,
[final] ).
cnf(c_0_152,plain,
( lhs_atom15(X1,X2)
| ~ isClosed0(X1)
| ~ isClosed0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
c_0_95,
[final] ).
cnf(c_0_153,plain,
( lhs_atom14(X1,X2)
| ~ isOpen0(X1)
| ~ isOpen0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
c_0_96,
[final] ).
cnf(c_0_154,plain,
( lhs_atom1(X1)
| sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
c_0_97,
[final] ).
cnf(c_0_155,plain,
( lhs_atom11(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk3_2(X1,X2),X2)
| ~ aSet0(X2) ),
c_0_98,
[final] ).
cnf(c_0_156,plain,
( lhs_atom16(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ isClosed0(esk8_1(X1))
| ~ aSubsetOf0(esk8_1(X1),cS1395) ),
c_0_99,
[final] ).
cnf(c_0_157,plain,
( lhs_atom12(X1)
| aInteger0(esk5_2(X1,X2))
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
c_0_100,
[final] ).
cnf(c_0_158,plain,
( lhs_atom11(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
c_0_101,
[final] ).
cnf(c_0_159,plain,
( lhs_atom1(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
c_0_102,
[final] ).
cnf(c_0_160,plain,
( lhs_atom13(X1)
| ~ aSet0(X1)
| ~ isOpen0(esk7_1(X1))
| ~ aSubsetOf0(esk7_1(X1),cS1395) ),
c_0_103,
[final] ).
cnf(c_0_161,plain,
( lhs_atom12(X1)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
c_0_104,
[final] ).
cnf(c_0_162,plain,
( lhs_atom1(X1)
| aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
c_0_105,
[final] ).
cnf(c_0_163,plain,
( lhs_atom12(X1)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1)
| esk5_2(X1,X2) != sz00 ),
c_0_106,
[final] ).
cnf(c_0_164,plain,
( lhs_atom12(X1)
| aElementOf0(X3,X2)
| aElementOf0(X3,X1)
| X2 != stldt0(X1)
| ~ aInteger0(X3) ),
c_0_107,
[final] ).
cnf(c_0_165,plain,
( lhs_atom1(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != smndt0(sz10) ),
c_0_108,
[final] ).
cnf(c_0_166,plain,
( lhs_atom12(X1)
| aInteger0(X3)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_109,
[final] ).
cnf(c_0_167,plain,
( lhs_atom16(X1)
| aElementOf0(esk8_1(X1),X1)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
c_0_110,
[final] ).
cnf(c_0_168,plain,
( lhs_atom1(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != sz10 ),
c_0_111,
[final] ).
cnf(c_0_169,plain,
( lhs_atom13(X1)
| aElementOf0(esk7_1(X1),X1)
| ~ aSet0(X1) ),
c_0_112,
[final] ).
cnf(c_0_170,plain,
( lhs_atom11(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
c_0_113,
[final] ).
cnf(c_0_171,plain,
( lhs_atom1(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
c_0_114,
[final] ).
cnf(c_0_172,plain,
( lhs_atom1(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| aDivisorOf0(esk2_1(X1),X1) ),
c_0_115,
[final] ).
cnf(c_0_173,plain,
( X1 = sz00
| lhs_atom10(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_116,
[final] ).
cnf(c_0_174,plain,
( lhs_atom12(X1)
| isOpen0(X1)
| aElementOf0(esk6_1(X1),X1) ),
c_0_117,
[final] ).
cnf(c_0_175,plain,
( lhs_atom1(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
c_0_118,
[final] ).
cnf(c_0_176,plain,
( lhs_atom9(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_119,
[final] ).
cnf(c_0_177,plain,
( lhs_atom7(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_120,
[final] ).
cnf(c_0_178,plain,
( lhs_atom5(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_121,
[final] ).
cnf(c_0_179,plain,
( lhs_atom4(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_122,
[final] ).
cnf(c_0_180,plain,
( lhs_atom12(X1)
| isClosed0(X1)
| ~ isOpen0(stldt0(X1)) ),
c_0_123,
[final] ).
cnf(c_0_181,plain,
( lhs_atom1(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
c_0_124,
[final] ).
cnf(c_0_182,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,smndt0(sz10)) = smndt0(X1) ),
c_0_125,
[final] ).
cnf(c_0_183,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
c_0_126,
[final] ).
cnf(c_0_184,plain,
( lhs_atom1(X1)
| sdtpldt0(smndt0(X1),X1) = sz00 ),
c_0_127,
[final] ).
cnf(c_0_185,plain,
( lhs_atom12(X1)
| isOpen0(stldt0(X1))
| ~ isClosed0(X1) ),
c_0_128,
[final] ).
cnf(c_0_186,plain,
( lhs_atom1(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| isPrime0(esk2_1(X1)) ),
c_0_129,
[final] ).
cnf(c_0_187,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
c_0_130,
[final] ).
cnf(c_0_188,plain,
( lhs_atom1(X1)
| sdtasdt0(sz10,X1) = X1 ),
c_0_131,
[final] ).
cnf(c_0_189,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
c_0_132,
[final] ).
cnf(c_0_190,plain,
( lhs_atom1(X1)
| sdtpldt0(sz00,X1) = X1 ),
c_0_133,
[final] ).
cnf(c_0_191,plain,
( lhs_atom12(X1)
| aSet0(X2)
| X2 != stldt0(X1) ),
c_0_134,
[final] ).
cnf(c_0_192,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
c_0_135,
[final] ).
cnf(c_0_193,plain,
( lhs_atom1(X1)
| sdtasdt0(sz00,X1) = sz00 ),
c_0_136,
[final] ).
cnf(c_0_194,plain,
( aInteger0(smndt0(X1))
| lhs_atom1(X1) ),
c_0_137,
[final] ).
cnf(c_0_195,plain,
( $true
| lhs_atom11(X1) ),
c_0_138,
[final] ).
cnf(c_0_196,plain,
$true,
c_0_139,
[final] ).
cnf(c_0_197,plain,
$true,
c_0_140,
[final] ).
cnf(c_0_198,plain,
lhs_atom3,
c_0_141,
[final] ).
cnf(c_0_199,plain,
lhs_atom2,
c_0_142,
[final] ).
cnf(c_0_200,plain,
$true,
c_0_143,
[final] ).
% End CNF derivation
cnf(c_0_144_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X2 = stldt0(X1)
| aElementOf0(sk1_esk4_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aInteger0(sk1_esk4_2(X1,X2))
| ~ aElementOf0(sk1_esk4_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom12]) ).
cnf(c_0_145_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,sk1_esk5_2(X1,X2)),X1)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom12]) ).
cnf(c_0_146_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X2 = stldt0(X1)
| aElementOf0(sk1_esk4_2(X1,X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk4_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom12]) ).
cnf(c_0_147_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| isOpen0(X1)
| X2 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sk1_esk6_1(X1),X2),X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom12]) ).
cnf(c_0_148_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk3_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom11]) ).
cnf(c_0_149_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X2 = stldt0(X1)
| aElementOf0(sk1_esk4_2(X1,X2),X2)
| aInteger0(sk1_esk4_2(X1,X2))
| ~ aSet0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom12]) ).
cnf(c_0_150_0,axiom,
( sdtasdt0(X3,sdtasdt0(X2,X1)) = sdtasdt0(sdtasdt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom8]) ).
cnf(c_0_151_0,axiom,
( sdtpldt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom6]) ).
cnf(c_0_152_0,axiom,
( isClosed0(sdtbsmnsldt0(X2,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom15]) ).
cnf(c_0_153_0,axiom,
( isOpen0(sdtslmnbsdt0(X2,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom14]) ).
cnf(c_0_154_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X2,sk1_esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom1]) ).
cnf(c_0_155_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(sk1_esk3_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom11]) ).
cnf(c_0_156_0,axiom,
( isClosed0(sbsmnsldt0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ isClosed0(sk1_esk8_1(X1))
| ~ aSubsetOf0(sk1_esk8_1(X1),cS1395) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom16]) ).
cnf(c_0_157_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk1_esk5_2(X1,X2))
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom12]) ).
cnf(c_0_158_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom11]) ).
cnf(c_0_159_0,axiom,
( ~ aInteger0(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom1]) ).
cnf(c_0_160_0,axiom,
( isOpen0(sbsmnsldt0(X1))
| ~ aSet0(X1)
| ~ isOpen0(sk1_esk7_1(X1))
| ~ aSubsetOf0(sk1_esk7_1(X1),cS1395) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom13]) ).
cnf(c_0_161_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom12]) ).
cnf(c_0_162_0,axiom,
( ~ aInteger0(X1)
| aInteger0(sk1_esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom1]) ).
cnf(c_0_163_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1)
| ~ aElementOf0(X2,X1)
| sk1_esk5_2(X1,X2) != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom12]) ).
cnf(c_0_164_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X3,X2)
| aElementOf0(X3,X1)
| X2 != stldt0(X1)
| ~ aInteger0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom12]) ).
cnf(c_0_165_0,axiom,
( ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != smndt0(sz10) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom1]) ).
cnf(c_0_166_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(X3)
| X2 != stldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom12]) ).
cnf(c_0_167_0,axiom,
( isClosed0(sbsmnsldt0(X1))
| aElementOf0(sk1_esk8_1(X1),X1)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom16]) ).
cnf(c_0_168_0,axiom,
( ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1)
| X1 != sz10 ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom1]) ).
cnf(c_0_169_0,axiom,
( isOpen0(sbsmnsldt0(X1))
| aElementOf0(sk1_esk7_1(X1),X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom13]) ).
cnf(c_0_170_0,axiom,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom11]) ).
cnf(c_0_171_0,axiom,
( ~ aInteger0(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom1]) ).
cnf(c_0_172_0,axiom,
( ~ aInteger0(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| aDivisorOf0(sk1_esk2_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom1]) ).
cnf(c_0_173_0,axiom,
( sdteqdtlpzmzozddtrp0(X2,X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom10]) ).
cnf(c_0_174_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| isOpen0(X1)
| aElementOf0(sk1_esk6_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom12]) ).
cnf(c_0_175_0,axiom,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom1]) ).
cnf(c_0_176_0,axiom,
( sdtasdt0(X2,X1) = sdtasdt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom9]) ).
cnf(c_0_177_0,axiom,
( sdtpldt0(X2,X1) = sdtpldt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom7]) ).
cnf(c_0_178_0,axiom,
( aInteger0(sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom5]) ).
cnf(c_0_179_0,axiom,
( aInteger0(sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom4]) ).
cnf(c_0_180_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| isClosed0(X1)
| ~ isOpen0(stldt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom12]) ).
cnf(c_0_181_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom1]) ).
cnf(c_0_182_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,smndt0(sz10)) = smndt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom1]) ).
cnf(c_0_183_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom1]) ).
cnf(c_0_184_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom1]) ).
cnf(c_0_185_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| isOpen0(stldt0(X1))
| ~ isClosed0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom12]) ).
cnf(c_0_186_0,axiom,
( ~ aInteger0(X1)
| X1 = smndt0(sz10)
| X1 = sz10
| isPrime0(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom1]) ).
cnf(c_0_187_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom1]) ).
cnf(c_0_188_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom1]) ).
cnf(c_0_189_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom1]) ).
cnf(c_0_190_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom1]) ).
cnf(c_0_191_0,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aSet0(X2)
| X2 != stldt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom12]) ).
cnf(c_0_192_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom1]) ).
cnf(c_0_193_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom1]) ).
cnf(c_0_194_0,axiom,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom1]) ).
cnf(c_0_195_0,axiom,
( ~ aSet0(X1)
| $true ),
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom11]) ).
cnf(c_0_196_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_196,def_true]) ).
cnf(c_0_197_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_197,def_true]) ).
cnf(c_0_198_0,axiom,
aInteger0(sz10),
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom3]) ).
cnf(c_0_199_0,axiom,
aInteger0(sz00),
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom2]) ).
cnf(c_0_200_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_200,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtslmnbsdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('<stdin>',mIntersection) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
file('<stdin>',mArSeq) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtbsmnsldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& ( aElementOf0(X4,X1)
| aElementOf0(X4,X2) ) ) ) ) ) ),
file('<stdin>',mUnion) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('<stdin>',mEquModTrn) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aSubsetOf0(X2,cS1395) ) )
=> ! [X2] :
( X2 = sbsmnsldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,X1)
& aElementOf0(X3,X4) ) ) ) ) ) ),
file('<stdin>',mUnionSet) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4)
& X4 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4))
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X1,X2,X4) ) ) ),
file('<stdin>',mEquModMul) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('<stdin>',mEquModSym) ).
fof(c_0_7_008,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('<stdin>',mEquMod) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('<stdin>',mDistrib) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
file('<stdin>',mArSeqClosed) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroDiv) ).
fof(c_0_11_012,axiom,
! [X1] :
( ( aInteger0(X1)
& X1 != sz00 )
=> ( isPrime0(X1)
=> $true ) ),
file('<stdin>',mPrime) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtslmnbsdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
c_0_0 ).
fof(c_0_13_014,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
c_0_1 ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtbsmnsldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& ( aElementOf0(X4,X1)
| aElementOf0(X4,X2) ) ) ) ) ) ),
c_0_2 ).
fof(c_0_15_016,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
c_0_3 ).
fof(c_0_16_017,axiom,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aSubsetOf0(X2,cS1395) ) )
=> ! [X2] :
( X2 = sbsmnsldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,X1)
& aElementOf0(X3,X4) ) ) ) ) ) ),
c_0_4 ).
fof(c_0_17_018,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4)
& X4 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4))
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X1,X2,X4) ) ) ),
c_0_5 ).
fof(c_0_18_019,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
c_0_6 ).
fof(c_0_19_020,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
c_0_7 ).
fof(c_0_20_021,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
c_0_8 ).
fof(c_0_21_022,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
c_0_9 ).
fof(c_0_22_023,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_10 ).
fof(c_0_23_024,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_24_025,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(X8,X6)
| ~ aElementOf0(X8,X7)
| X7 != sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aInteger0(X9)
| ~ aElementOf0(X9,X5)
| ~ aElementOf0(X9,X6)
| aElementOf0(X9,X7)
| X7 != sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aElementOf0(esk6_3(X5,X6,X10),X10)
| ~ aInteger0(esk6_3(X5,X6,X10))
| ~ aElementOf0(esk6_3(X5,X6,X10),X5)
| ~ aElementOf0(esk6_3(X5,X6,X10),X6)
| ~ aSet0(X10)
| X10 = sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aInteger0(esk6_3(X5,X6,X10))
| aElementOf0(esk6_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(esk6_3(X5,X6,X10),X5)
| aElementOf0(esk6_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(esk6_3(X5,X6,X10),X6)
| aElementOf0(esk6_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtslmnbsdt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) ) ),
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_12])])])])])]) ).
fof(c_0_25_026,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( aInteger0(X8)
| ~ aElementOf0(X8,X7)
| X7 != szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X8,X5,X6)
| ~ aElementOf0(X8,X7)
| X7 != szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( ~ aInteger0(X9)
| ~ sdteqdtlpzmzozddtrp0(X9,X5,X6)
| aElementOf0(X9,X7)
| X7 != szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( ~ aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aInteger0(esk1_3(X5,X6,X10))
| ~ sdteqdtlpzmzozddtrp0(esk1_3(X5,X6,X10),X5,X6)
| ~ aSet0(X10)
| X10 = szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( aInteger0(esk1_3(X5,X6,X10))
| aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk1_3(X5,X6,X10),X5,X6)
| aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = szAzrzSzezqlpdtcmdtrp0(X5,X6)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 ) ),
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_13])])])])])]) ).
fof(c_0_26_027,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(X8,X5)
| aElementOf0(X8,X6)
| ~ aElementOf0(X8,X7)
| X7 != sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aElementOf0(X9,X5)
| ~ aInteger0(X9)
| aElementOf0(X9,X7)
| X7 != sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aElementOf0(X9,X6)
| ~ aInteger0(X9)
| aElementOf0(X9,X7)
| X7 != sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aElementOf0(esk7_3(X5,X6,X10),X5)
| ~ aInteger0(esk7_3(X5,X6,X10))
| ~ aElementOf0(esk7_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( ~ aElementOf0(esk7_3(X5,X6,X10),X6)
| ~ aInteger0(esk7_3(X5,X6,X10))
| ~ aElementOf0(esk7_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aInteger0(esk7_3(X5,X6,X10))
| aElementOf0(esk7_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) )
& ( aElementOf0(esk7_3(X5,X6,X10),X5)
| aElementOf0(esk7_3(X5,X6,X10),X6)
| aElementOf0(esk7_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtbsmnsldt0(X5,X6)
| ~ aSubsetOf0(X5,cS1395)
| ~ aSubsetOf0(X6,cS1395) ) ),
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_14])])])])])]) ).
fof(c_0_27_028,plain,
! [X5,X6,X7,X8] :
( ~ aInteger0(X5)
| ~ aInteger0(X6)
| ~ aInteger0(X7)
| X7 = sz00
| ~ aInteger0(X8)
| ~ sdteqdtlpzmzozddtrp0(X5,X6,X7)
| ~ sdteqdtlpzmzozddtrp0(X6,X8,X7)
| sdteqdtlpzmzozddtrp0(X5,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_28_029,plain,
! [X5,X7,X8,X10,X11,X12,X14] :
( ( aSet0(X7)
| X7 != sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aElementOf0(esk3_3(X5,X7,X8),X5)
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aElementOf0(X8,esk3_3(X5,X7,X8))
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( ~ aInteger0(X10)
| ~ aElementOf0(X11,X5)
| ~ aElementOf0(X10,X11)
| aElementOf0(X10,X7)
| X7 != sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( ~ aElementOf0(esk4_2(X5,X12),X12)
| ~ aInteger0(esk4_2(X5,X12))
| ~ aElementOf0(X14,X5)
| ~ aElementOf0(esk4_2(X5,X12),X14)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aInteger0(esk4_2(X5,X12))
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aElementOf0(esk5_2(X5,X12),X5)
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aElementOf0(esk4_2(X5,X12),esk5_2(X5,X12))
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| aElementOf0(esk2_1(X5),X5)
| ~ aSet0(X5) )
& ( aSet0(X7)
| X7 != sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aElementOf0(esk3_3(X5,X7,X8),X5)
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aElementOf0(X8,esk3_3(X5,X7,X8))
| ~ aElementOf0(X8,X7)
| X7 != sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( ~ aInteger0(X10)
| ~ aElementOf0(X11,X5)
| ~ aElementOf0(X10,X11)
| aElementOf0(X10,X7)
| X7 != sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( ~ aElementOf0(esk4_2(X5,X12),X12)
| ~ aInteger0(esk4_2(X5,X12))
| ~ aElementOf0(X14,X5)
| ~ aElementOf0(esk4_2(X5,X12),X14)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aInteger0(esk4_2(X5,X12))
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aElementOf0(esk5_2(X5,X12),X5)
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) )
& ( aElementOf0(esk4_2(X5,X12),esk5_2(X5,X12))
| aElementOf0(esk4_2(X5,X12),X12)
| ~ aSet0(X12)
| X12 = sbsmnsldt0(X5)
| ~ aSubsetOf0(esk2_1(X5),cS1395)
| ~ aSet0(X5) ) ),
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_16])])])])])]) ).
fof(c_0_29_030,plain,
! [X5,X6,X7,X8] :
( ( sdteqdtlpzmzozddtrp0(X5,X6,X7)
| ~ sdteqdtlpzmzozddtrp0(X5,X6,sdtasdt0(X7,X8))
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| ~ aInteger0(X7)
| X7 = sz00
| ~ aInteger0(X8)
| X8 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X5,X6,X8)
| ~ sdteqdtlpzmzozddtrp0(X5,X6,sdtasdt0(X7,X8))
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| ~ aInteger0(X7)
| X7 = sz00
| ~ aInteger0(X8)
| X8 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_30_031,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| sdteqdtlpzmzozddtrp0(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_31_032,plain,
! [X4,X5,X6] :
( ( ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( ~ aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X4,X5,X6)
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_32_033,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_33_034,plain,
! [X3,X4] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),cS1395)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| X4 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| X4 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_34_035,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_35_036,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_23]) ).
cnf(c_0_36_037,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aInteger0(esk6_3(X2,X1,X3))
| ~ aElementOf0(esk6_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37_038,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(esk1_3(X2,X1,X3))
| ~ aElementOf0(esk1_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38_039,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk7_3(X2,X1,X3),X3)
| ~ aInteger0(esk7_3(X2,X1,X3))
| ~ aElementOf0(esk7_3(X2,X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39_040,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk7_3(X2,X1,X3),X3)
| ~ aInteger0(esk7_3(X2,X1,X3))
| ~ aElementOf0(esk7_3(X2,X1,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40_041,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(esk7_3(X2,X1,X3),X3)
| aElementOf0(esk7_3(X2,X1,X3),X1)
| aElementOf0(esk7_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41_042,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| sdteqdtlpzmzozddtrp0(esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42_043,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43_044,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_44_045,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(esk7_3(X2,X1,X3),X3)
| aInteger0(esk7_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45_046,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aInteger0(esk6_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_46_047,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| aInteger0(esk1_3(X2,X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47_048,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48_049,plain,
( X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49_050,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50_051,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_51_052,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_52_053,plain,
( aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_53_054,plain,
( aElementOf0(X3,esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54_055,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_55_056,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(X3,esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_56_057,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_57_058,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58_059,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59_060,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk4_2(X1,X2),esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_60_061,plain,
( X1 = sz00
| aElementOf0(X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_61_062,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk4_2(X1,X2),esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_62_063,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_63_064,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_64_065,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_65_066,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_66_067,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_67_068,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_68_069,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69_070,plain,
( aElementOf0(X4,X1)
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_70_071,plain,
( aElementOf0(X3,X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_71_072,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_72_073,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_73_074,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_74_075,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(X3,X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_75_076,plain,
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_76_077,plain,
( aElementOf0(X4,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_77_078,plain,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78_079,plain,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_79_080,plain,
( aInteger0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_80_081,plain,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_81_082,plain,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_82_083,plain,
( X1 = sz00
| aInteger0(X4)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_83_084,plain,
( aElementOf0(esk2_1(X1),X1)
| aInteger0(X3)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_84_085,plain,
( X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_85_086,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_86_087,plain,
( X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_87_088,plain,
( X1 = sz00
| aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_88_089,plain,
( aElementOf0(esk2_1(X1),X1)
| aSet0(X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_89_090,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_90_091,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_91_092,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aInteger0(esk6_3(X2,X1,X3))
| ~ aElementOf0(esk6_3(X2,X1,X3),X3) ),
c_0_36,
[final] ).
cnf(c_0_92_093,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(esk1_3(X2,X1,X3))
| ~ aElementOf0(esk1_3(X2,X1,X3),X3) ),
c_0_37,
[final] ).
cnf(c_0_93_094,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk7_3(X2,X1,X3),X3)
| ~ aInteger0(esk7_3(X2,X1,X3))
| ~ aElementOf0(esk7_3(X2,X1,X3),X2) ),
c_0_38,
[final] ).
cnf(c_0_94_095,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(esk7_3(X2,X1,X3),X3)
| ~ aInteger0(esk7_3(X2,X1,X3))
| ~ aElementOf0(esk7_3(X2,X1,X3),X1) ),
c_0_39,
[final] ).
cnf(c_0_95_096,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(esk7_3(X2,X1,X3),X3)
| aElementOf0(esk7_3(X2,X1,X3),X1)
| aElementOf0(esk7_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
c_0_40,
[final] ).
cnf(c_0_96_097,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| sdteqdtlpzmzozddtrp0(esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
c_0_41,
[final] ).
cnf(c_0_97_098,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
c_0_42,
[final] ).
cnf(c_0_98_099,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
c_0_43,
[final] ).
cnf(c_0_99_100,plain,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(esk7_3(X2,X1,X3),X3)
| aInteger0(esk7_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
c_0_44,
[final] ).
cnf(c_0_100_101,plain,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(esk6_3(X2,X1,X3),X3)
| aInteger0(esk6_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
c_0_45,
[final] ).
cnf(c_0_101_102,plain,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(esk1_3(X2,X1,X3),X3)
| aInteger0(esk1_3(X2,X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
c_0_46,
[final] ).
cnf(c_0_102_103,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
c_0_47,
[final] ).
cnf(c_0_103_104,plain,
( X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
c_0_48,
[final] ).
cnf(c_0_104_105,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(esk4_2(X1,X2))
| ~ aElementOf0(esk4_2(X1,X2),X2) ),
c_0_49,
[final] ).
cnf(c_0_105_106,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
c_0_50,
[final] ).
cnf(c_0_106_107,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
c_0_51,
[final] ).
cnf(c_0_107_108,plain,
( aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_52,
[final] ).
cnf(c_0_108_109,plain,
( aElementOf0(X3,esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_53,
[final] ).
cnf(c_0_109_110,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_54,
[final] ).
cnf(c_0_110_111,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(X3,esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_55,
[final] ).
cnf(c_0_111_112,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_56,
[final] ).
cnf(c_0_112_113,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
c_0_57,
[final] ).
cnf(c_0_113_114,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
c_0_58,
[final] ).
cnf(c_0_114_115,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk4_2(X1,X2),esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
c_0_59,
[final] ).
cnf(c_0_115_116,plain,
( X1 = sz00
| aElementOf0(X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
c_0_60,
[final] ).
cnf(c_0_116_117,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk4_2(X1,X2),esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
c_0_61,
[final] ).
cnf(c_0_117_118,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
c_0_62,
[final] ).
cnf(c_0_118_119,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
c_0_63,
[final] ).
cnf(c_0_119_120,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_64,
[final] ).
cnf(c_0_120_121,plain,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_65,
[final] ).
cnf(c_0_121_122,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aElementOf0(esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
c_0_66,
[final] ).
cnf(c_0_122_123,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
c_0_67,
[final] ).
cnf(c_0_123_124,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_68,
[final] ).
cnf(c_0_124_125,plain,
( aElementOf0(X4,X1)
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_69,
[final] ).
cnf(c_0_125_126,plain,
( aElementOf0(X3,X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
c_0_70,
[final] ).
cnf(c_0_126_127,plain,
( aElementOf0(esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk4_2(X1,X2),X2)
| aInteger0(esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
c_0_71,
[final] ).
cnf(c_0_127_128,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
c_0_72,
[final] ).
cnf(c_0_128_129,plain,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
c_0_73,
[final] ).
cnf(c_0_129_130,plain,
( aElementOf0(esk2_1(X1),X1)
| aElementOf0(X3,X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
c_0_74,
[final] ).
cnf(c_0_130_131,plain,
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_75,
[final] ).
cnf(c_0_131_132,plain,
( aElementOf0(X4,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_76,
[final] ).
cnf(c_0_132_133,plain,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_77,
[final] ).
cnf(c_0_133_134,plain,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_78,
[final] ).
cnf(c_0_134_135,plain,
( aInteger0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_79,
[final] ).
cnf(c_0_135_136,plain,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1) ),
c_0_80,
[final] ).
cnf(c_0_136_137,plain,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1) ),
c_0_81,
[final] ).
cnf(c_0_137_138,plain,
( X1 = sz00
| aInteger0(X4)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_82,
[final] ).
cnf(c_0_138_139,plain,
( aElementOf0(esk2_1(X1),X1)
| aInteger0(X3)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
c_0_83,
[final] ).
cnf(c_0_139_140,plain,
( X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_84,
[final] ).
cnf(c_0_140_141,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1) ),
c_0_85,
[final] ).
cnf(c_0_141_142,plain,
( X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_86,
[final] ).
cnf(c_0_142_143,plain,
( X1 = sz00
| aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
c_0_87,
[final] ).
cnf(c_0_143_144,plain,
( aElementOf0(esk2_1(X1),X1)
| aSet0(X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1) ),
c_0_88,
[final] ).
cnf(c_0_144_145,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_89,
[final] ).
cnf(c_0_145_146,plain,
$true,
c_0_90,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_91_0,axiom,
( X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_4,axiom,
( ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_5,axiom,
( ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_6,axiom,
( ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_7,axiom,
( ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aSet0(X3)
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_5,axiom,
( ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_6,axiom,
( ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_7,axiom,
( ~ aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_5,axiom,
( ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_6,axiom,
( ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_5,axiom,
( ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_6,axiom,
( ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| ~ aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| X3 = sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_4,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_5,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_6,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_5,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_6,axiom,
( ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sk2_esk1_3(X2,X1,X3),X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_4,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_5,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_5,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( X3 = sdtbsmnsldt0(X2,X1)
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| aInteger0(sk2_esk7_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( aInteger0(sk2_esk7_3(X2,X1,X3))
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk7_3(X2,X1,X3))
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_4,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk7_3(X2,X1,X3))
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_5,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk7_3(X2,X1,X3))
| aElementOf0(sk2_esk7_3(X2,X1,X3),X3)
| X3 = sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( X3 = sdtslmnbsdt0(X2,X1)
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| aInteger0(sk2_esk6_3(X2,X1,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( aInteger0(sk2_esk6_3(X2,X1,X3))
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk6_3(X2,X1,X3))
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_4,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk6_3(X2,X1,X3))
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_5,axiom,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sk2_esk6_3(X2,X1,X3))
| aElementOf0(sk2_esk6_3(X2,X1,X3),X3)
| X3 = sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( X1 = sz00
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| aInteger0(sk2_esk1_3(X2,X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( aInteger0(sk2_esk1_3(X2,X1,X3))
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_4,axiom,
( ~ aInteger0(X1)
| aInteger0(sk2_esk1_3(X2,X1,X3))
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_5,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sk2_esk1_3(X2,X1,X3))
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_6,axiom,
( ~ aSet0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sk2_esk1_3(X2,X1,X3))
| aElementOf0(sk2_esk1_3(X2,X1,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_4,axiom,
( ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_5,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X4)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_6,axiom,
( ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_7,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_3,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_4,axiom,
( ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_5,axiom,
( ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_6,axiom,
( ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_7,axiom,
( ~ aElementOf0(sk2_esk4_2(X1,X2),X2)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_4,axiom,
( ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_5,axiom,
( ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_6,axiom,
( ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_7,axiom,
( ~ aElementOf0(sk2_esk4_2(X1,X2),X2)
| ~ aInteger0(sk2_esk4_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(sk2_esk4_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( X2 = sz00
| X1 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_4,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_5,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_6,axiom,
( ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_7,axiom,
( ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1))
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X2)
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( X2 = sz00
| X1 = sz00
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_4,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_5,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_6,axiom,
( ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_7,axiom,
( ~ sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1))
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X3,X1)
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(sk2_esk3_3(X1,X2,X3),X1)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| aElementOf0(sk2_esk2_1(X1),X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,sk2_esk3_3(X1,X2,X3))
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_4,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_5,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X3)
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_4,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_5,axiom,
( ~ sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_4,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_5,axiom,
( ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_5,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( X1 = sz00
| aElementOf0(X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( aElementOf0(X4,X3)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ aInteger0(X1)
| aElementOf0(X4,X3)
| X1 = sz00
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aElementOf0(X4,X3)
| X1 = sz00
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_4,axiom,
( X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aElementOf0(X4,X3)
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_5,axiom,
( ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aElementOf0(X4,X3)
| X1 = sz00
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_6,axiom,
( ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aElementOf0(X4,X3)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_3,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_4,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_5,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),sk2_esk5_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_3,axiom,
( X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_4,axiom,
( ~ aElementOf0(X4,X1)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X2)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_5,axiom,
( ~ aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_6,axiom,
( ~ aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_4,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_5,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_3,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_3,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_4,axiom,
( ~ aSet0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_5,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk2_esk5_2(X1,X2),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aInteger0(sk2_esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ aSet0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_4,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_5,axiom,
( ~ aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X1 = sz00
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_4,axiom,
( X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X1 = sz00
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_5,axiom,
( ~ aElementOf0(X4,X3)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X4,X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( aElementOf0(X4,X1)
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( aElementOf0(X4,X2)
| aElementOf0(X4,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| aElementOf0(X4,X1)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| aElementOf0(X4,X1)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_4,axiom,
( X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_5,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( aElementOf0(X3,X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_4,axiom,
( ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_5,axiom,
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_6,axiom,
( ~ aInteger0(X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aInteger0(sk2_esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| aInteger0(sk2_esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| aInteger0(sk2_esk4_2(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_4,axiom,
( ~ aSet0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_5,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aInteger0(sk2_esk4_2(X1,X2))
| aElementOf0(sk2_esk4_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ aInteger0(X4)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( ~ aElementOf0(X4,X2)
| ~ aInteger0(X4)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( aElementOf0(X4,X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_4,axiom,
( ~ aInteger0(X4)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_5,axiom,
( ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| aElementOf0(X3,X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_4,axiom,
( ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_5,axiom,
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_6,axiom,
( ~ aInteger0(X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aElementOf0(X3,X2)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( aElementOf0(X4,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X1)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X1)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( aInteger0(X4)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( aInteger0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( ~ aSet0(X1)
| aInteger0(X3)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aInteger0(X3)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aInteger0(X3)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aSet0(X3)
| X3 != sdtbsmnsldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( X3 != sdtbsmnsldt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aSet0(X3)
| ~ aSubsetOf0(X2,cS1395)
| X3 != sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aSet0(X3)
| X3 != sdtslmnbsdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( X3 != sdtslmnbsdt0(X2,X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( X1 = sz00
| aInteger0(X4)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( aInteger0(X4)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ aInteger0(X1)
| aInteger0(X4)
| X1 = sz00
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(X4)
| X1 = sz00
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_4,axiom,
( X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(X4)
| X1 = sz00
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_5,axiom,
( ~ aElementOf0(X4,X3)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(X4)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| aInteger0(X3)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( aInteger0(X3)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ aSet0(X1)
| aInteger0(X3)
| aElementOf0(sk2_esk2_1(X1),X1)
| X2 != sbsmnsldt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aInteger0(X3)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aElementOf0(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_4,axiom,
( ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aInteger0(X3)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ aInteger0(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| X1 = sz00
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aSet0(X2)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(sk2_esk2_1(X1),cS1395)
| ~ aSet0(X1)
| aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ aInteger0(X1)
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| X1 = sz00
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( X1 = sz00
| aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( aSet0(X3)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( ~ aInteger0(X1)
| aSet0(X3)
| X1 = sz00
| ~ aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aSet0(X3)
| X1 = sz00
| X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_4,axiom,
( X3 != szAzrzSzezqlpdtcmdtrp0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aSet0(X3)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( aElementOf0(sk2_esk2_1(X1),X1)
| aSet0(X2)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( aSet0(X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| ~ aSet0(X1)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ aSet0(X1)
| aSet0(X2)
| aElementOf0(sk2_esk2_1(X1),X1)
| X2 != sbsmnsldt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_3,axiom,
( X2 != sbsmnsldt0(X1)
| ~ aSet0(X1)
| aSet0(X2)
| aElementOf0(sk2_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_1,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_4,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_5,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_145]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_147,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
file('<stdin>',m__2046) ).
fof(c_0_1_148,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
file('<stdin>',m__2144) ).
fof(c_0_2_149,conjecture,
? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
file('<stdin>',m__) ).
fof(c_0_3_150,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('<stdin>',m__2079) ).
fof(c_0_4_151,hypothesis,
isFinite0(xS),
file('<stdin>',m__2117) ).
fof(c_0_5_152,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
c_0_0 ).
fof(c_0_6_153,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_7_154,negated_conjecture,
~ ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_2])]) ).
fof(c_0_8_155,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_9_156,hypothesis,
isFinite0(xS),
c_0_4 ).
fof(c_0_10_157,hypothesis,
! [X5,X7,X9,X10,X11,X12,X13,X15,X16] :
( aSet0(xS)
& ( aInteger0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( esk1_1(X5) != sz00
| ~ aElementOf0(X5,xS) )
& ( isPrime0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(esk2_2(X5,X7))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdtasdt0(esk1_1(X5),esk2_2(X5,X7)) = sdtpldt0(X7,smndt0(sz00))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aInteger0(X10)
| sdtasdt0(esk1_1(X5),X10) != sdtpldt0(X9,smndt0(sz00))
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(esk1_1(X5),sdtpldt0(X9,smndt0(sz00)))
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X9,sz00,esk1_1(X5))
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)) = X5
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( aInteger0(X13)
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( aInteger0(esk3_3(X11,X12,X13))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( sdtasdt0(X12,esk3_3(X11,X12,X13)) = sdtpldt0(X13,smndt0(sz00))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( aDivisorOf0(X12,sdtpldt0(X13,smndt0(sz00)))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( sdteqdtlpzmzozddtrp0(X13,sz00,X12)
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( ~ aInteger0(X16)
| sdtasdt0(X12,X16) != sdtpldt0(X15,smndt0(sz00))
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( ~ aDivisorOf0(X12,sdtpldt0(X15,smndt0(sz00)))
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X15,sz00,X12)
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(sz00,X12))
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X12) != X11
| ~ isPrime0(X12)
| X12 = sz00
| ~ aInteger0(X12)
| aElementOf0(X11,xS) )
& xS = cS2043 ),
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_5])])])])])]) ).
fof(c_0_11_158,hypothesis,
! [X5,X7,X8,X9,X10,X11,X13,X15,X16,X17,X18,X20,X21,X22,X23,X24,X26,X28,X29,X30] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(esk5_1(X5),xS)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(X5,esk5_1(X5))
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X7)
| ~ aElementOf0(X8,xS)
| ~ aElementOf0(X7,X8)
| aElementOf0(X7,sbsmnsldt0(xS)) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X10)
| aElementOf0(X10,sbsmnsldt0(xS))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk6_1(X11))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( esk6_1(X11) != sz00
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X13)
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk7_2(X11,X13))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk6_1(X11),esk7_2(X11,X13)) = sdtpldt0(X13,smndt0(X11))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk6_1(X11),sdtpldt0(X13,smndt0(X11)))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X13,X11,esk6_1(X11))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X16)
| sdtasdt0(esk6_1(X11),X16) != sdtpldt0(X15,smndt0(X11))
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk6_1(X11),sdtpldt0(X15,smndt0(X11)))
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X15,X11,esk6_1(X11))
| ~ aInteger0(X15)
| aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)))
| aElementOf0(X17,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,esk6_1(X11)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X18)
| ~ aElementOf0(X18,sbsmnsldt0(xS)) )
& ( aElementOf0(esk8_1(X18),xS)
| ~ aElementOf0(X18,sbsmnsldt0(xS)) )
& ( aElementOf0(X18,esk8_1(X18))
| ~ aElementOf0(X18,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X20)
| ~ aElementOf0(X21,xS)
| ~ aElementOf0(X20,X21)
| aElementOf0(X20,sbsmnsldt0(xS)) )
& ( aInteger0(X22)
| ~ aElementOf0(X22,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X22,sbsmnsldt0(xS))
| ~ aElementOf0(X22,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X23)
| aElementOf0(X23,sbsmnsldt0(xS))
| aElementOf0(X23,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk9_1(X24))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( esk9_1(X24) != sz00
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X26)
| ~ aElementOf0(X26,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk10_2(X24,X26))
| ~ aElementOf0(X26,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk9_1(X24),esk10_2(X24,X26)) = sdtpldt0(X26,smndt0(X24))
| ~ aElementOf0(X26,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk9_1(X24),sdtpldt0(X26,smndt0(X24)))
| ~ aElementOf0(X26,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X26,X24,esk9_1(X24))
| ~ aElementOf0(X26,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X29)
| sdtasdt0(esk9_1(X24),X29) != sdtpldt0(X28,smndt0(X24))
| ~ aInteger0(X28)
| aElementOf0(X28,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk9_1(X24),sdtpldt0(X28,smndt0(X24)))
| ~ aInteger0(X28)
| aElementOf0(X28,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X28,X24,esk9_1(X24))
| ~ aInteger0(X28)
| aElementOf0(X28,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X30,szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)))
| aElementOf0(X30,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X24,esk9_1(X24)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X24,stldt0(sbsmnsldt0(xS))) ) ),
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_6])])])])])]) ).
fof(c_0_12_159,negated_conjecture,
! [X4,X5,X7,X8,X9,X11,X12,X13,X14] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aInteger0(X5)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aInteger0(esk11_2(X4,X5))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( sdtasdt0(X4,esk11_2(X4,X5)) = sdtpldt0(X5,smndt0(sz10))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( sdteqdtlpzmzozddtrp0(X5,sz10,X4)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aInteger0(X8)
| sdtasdt0(X4,X8) != sdtpldt0(X7,smndt0(sz10))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aDivisorOf0(X4,sdtpldt0(X7,smndt0(sz10)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ sdteqdtlpzmzozddtrp0(X7,sz10,X4)
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aSet0(sbsmnsldt0(xS))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,sbsmnsldt0(xS))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aElementOf0(esk12_2(X4,X9),xS)
| ~ aElementOf0(X9,sbsmnsldt0(xS))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aElementOf0(X9,esk12_2(X4,X9))
| ~ aElementOf0(X9,sbsmnsldt0(xS))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aInteger0(X11)
| ~ aElementOf0(X12,xS)
| ~ aElementOf0(X11,X12)
| aElementOf0(X11,sbsmnsldt0(xS))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aInteger0(X13)
| ~ aElementOf0(X13,stldt0(sbsmnsldt0(xS)))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aElementOf0(X13,sbsmnsldt0(xS))
| ~ aElementOf0(X13,stldt0(sbsmnsldt0(xS)))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aInteger0(X14)
| aElementOf0(X14,sbsmnsldt0(xS))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
| X4 = sz00
| ~ aInteger0(X4) )
& ( aElementOf0(esk13_1(X4),szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aElementOf0(esk13_1(X4),stldt0(sbsmnsldt0(xS)))
| X4 = sz00
| ~ aInteger0(X4) )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS)))
| X4 = sz00
| ~ aInteger0(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_7])])])])])]) ).
fof(c_0_13_160,hypothesis,
! [X3,X5,X6,X7,X8,X9,X10] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X3)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(esk4_1(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(X3,esk4_1(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X5)
| ~ aElementOf0(X6,xS)
| ~ aElementOf0(X5,X6)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X7)
| ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X7,sbsmnsldt0(xS))
| ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| X9 = sz10
| X9 = smndt0(sz10) )
& ( X10 != sz10
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( X10 != smndt0(sz10)
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
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_8])])])])])]) ).
fof(c_0_14_161,hypothesis,
isFinite0(xS),
c_0_9 ).
cnf(c_0_15_162,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| sdtasdt0(X2,esk3_3(X1,X2,X3)) = sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_163,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aInteger0(esk3_3(X1,X2,X3))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17_164,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18_165,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19_166,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk6_1(X1),sdtpldt0(X2,smndt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20_167,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk9_1(X1),sdtpldt0(X2,smndt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21_168,hypothesis,
( sdtasdt0(esk6_1(X1),esk7_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22_169,hypothesis,
( sdtasdt0(esk9_1(X1),esk10_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23_170,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,X1,esk6_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24_171,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,X1,esk9_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25_172,hypothesis,
( aDivisorOf0(esk6_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26_173,hypothesis,
( aDivisorOf0(esk9_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27_174,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| sdtasdt0(esk6_1(X1),X3) != sdtpldt0(X2,smndt0(X1))
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28_175,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| sdtasdt0(esk9_1(X1),X3) != sdtpldt0(X2,smndt0(X1))
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29_176,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30_177,hypothesis,
( sdtasdt0(esk1_1(X1),esk2_2(X1,X2)) = sdtpldt0(X2,smndt0(sz00))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31_178,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk1_1(X1),sdtpldt0(X2,smndt0(sz00))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32_179,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,sz00,esk1_1(X1))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33_180,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,sz00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34_181,hypothesis,
( aInteger0(esk7_2(X1,X2))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35_182,hypothesis,
( aInteger0(esk10_2(X1,X2))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36_183,hypothesis,
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37_184,hypothesis,
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38_185,hypothesis,
( aDivisorOf0(esk1_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39_186,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40_187,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| sdtasdt0(esk1_1(X1),X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41_188,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X3,sz00,X2)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42_189,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43_190,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44_191,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| sdtasdt0(X2,X4) != sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45_192,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46_193,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47_194,hypothesis,
( aInteger0(esk2_2(X1,X2))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48_195,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_49_196,negated_conjecture,
( X1 = sz00
| sdtasdt0(X1,esk11_2(X1,X2)) = sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50_197,negated_conjecture,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,sz10,X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_51_198,negated_conjecture,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52_199,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_53_200,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_54_201,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_55_202,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56_203,negated_conjecture,
( X1 = sz00
| aInteger0(esk11_2(X1,X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57_204,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aInteger0(X3)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58_205,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_59_206,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_60_207,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_61_208,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_62_209,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,esk12_2(X1,X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_63_210,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_64_211,negated_conjecture,
( X1 = sz00
| aElementOf0(esk12_2(X1,X2),xS)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_65_212,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_66_213,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_67_214,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_68_215,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_69_216,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_70_217,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_71_218,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_72_219,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(esk13_1(X1),stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_73_220,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_74_221,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_75_222,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_76_223,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_77_224,hypothesis,
( aInteger0(esk6_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_78_225,hypothesis,
( aInteger0(esk9_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_79_226,negated_conjecture,
( X1 = sz00
| aElementOf0(esk13_1(X1),szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_80_227,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_81_228,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_82_229,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_83_230,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_84_231,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk6_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_85_232,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk9_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_86_233,hypothesis,
( aElementOf0(X1,esk5_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_87_234,hypothesis,
( aElementOf0(X1,esk8_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_88_235,hypothesis,
( aElementOf0(X1,esk4_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_89_236,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_90_237,hypothesis,
( aElementOf0(esk5_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_91_238,hypothesis,
( aElementOf0(esk8_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_92_239,hypothesis,
( aElementOf0(esk4_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_93_240,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_94_241,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_95_242,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_96_243,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_97_244,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_98_245,negated_conjecture,
( X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_99_246,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_100_247,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_101_248,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_102_249,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_103_250,hypothesis,
( aInteger0(esk1_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_104_251,hypothesis,
( isPrime0(esk1_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_105_252,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_106_253,hypothesis,
( ~ aElementOf0(X1,xS)
| esk1_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_107_254,hypothesis,
isOpen0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_108_255,hypothesis,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_109_256,negated_conjecture,
( X1 = sz00
| aSet0(sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_110_257,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_111_258,hypothesis,
isClosed0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_112_259,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_113_260,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_114_261,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_115_262,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_116_263,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_117_264,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_118_265,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| sdtasdt0(X2,esk3_3(X1,X2,X3)) = sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
c_0_15,
[final] ).
cnf(c_0_119_266,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aInteger0(esk3_3(X1,X2,X3))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
c_0_16,
[final] ).
cnf(c_0_120_267,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,esk6_1(X1)) ),
c_0_17,
[final] ).
cnf(c_0_121_268,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,esk9_1(X1)) ),
c_0_18,
[final] ).
cnf(c_0_122_269,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk6_1(X1),sdtpldt0(X2,smndt0(X1))) ),
c_0_19,
[final] ).
cnf(c_0_123_270,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk9_1(X1),sdtpldt0(X2,smndt0(X1))) ),
c_0_20,
[final] ).
cnf(c_0_124_271,hypothesis,
( sdtasdt0(esk6_1(X1),esk7_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_21,
[final] ).
cnf(c_0_125_272,hypothesis,
( sdtasdt0(esk9_1(X1),esk10_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_22,
[final] ).
cnf(c_0_126_273,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,X1,esk6_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_23,
[final] ).
cnf(c_0_127_274,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,X1,esk9_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_24,
[final] ).
cnf(c_0_128_275,hypothesis,
( aDivisorOf0(esk6_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_25,
[final] ).
cnf(c_0_129_276,hypothesis,
( aDivisorOf0(esk9_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_26,
[final] ).
cnf(c_0_130_277,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| sdtasdt0(esk6_1(X1),X3) != sdtpldt0(X2,smndt0(X1))
| ~ aInteger0(X3) ),
c_0_27,
[final] ).
cnf(c_0_131_278,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| sdtasdt0(esk9_1(X1),X3) != sdtpldt0(X2,smndt0(X1))
| ~ aInteger0(X3) ),
c_0_28,
[final] ).
cnf(c_0_132_279,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,esk1_1(X1)) ),
c_0_29,
[final] ).
cnf(c_0_133_280,hypothesis,
( sdtasdt0(esk1_1(X1),esk2_2(X1,X2)) = sdtpldt0(X2,smndt0(sz00))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
c_0_30,
[final] ).
cnf(c_0_134_281,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| ~ aDivisorOf0(esk1_1(X1),sdtpldt0(X2,smndt0(sz00))) ),
c_0_31,
[final] ).
cnf(c_0_135_282,hypothesis,
( sdteqdtlpzmzozddtrp0(X2,sz00,esk1_1(X1))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
c_0_32,
[final] ).
cnf(c_0_136_283,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,sz00,X2) ),
c_0_33,
[final] ).
cnf(c_0_137_284,hypothesis,
( aInteger0(esk7_2(X1,X2))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_34,
[final] ).
cnf(c_0_138_285,hypothesis,
( aInteger0(esk10_2(X1,X2))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_35,
[final] ).
cnf(c_0_139_286,hypothesis,
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_36,
[final] ).
cnf(c_0_140_287,hypothesis,
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_37,
[final] ).
cnf(c_0_141_288,hypothesis,
( aDivisorOf0(esk1_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
c_0_38,
[final] ).
cnf(c_0_142_289,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))) ),
c_0_39,
[final] ).
cnf(c_0_143_290,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X2)
| sdtasdt0(esk1_1(X1),X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ),
c_0_40,
[final] ).
cnf(c_0_144_291,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X3,sz00,X2)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
c_0_41,
[final] ).
cnf(c_0_145_292,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,sz10,X1) ),
c_0_42,
[final] ).
cnf(c_0_146_293,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
c_0_43,
[final] ).
cnf(c_0_147_294,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| sdtasdt0(X2,X4) != sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X4) ),
c_0_44,
[final] ).
cnf(c_0_148_295,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1))) ),
c_0_45,
[final] ).
cnf(c_0_149_296,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1))) ),
c_0_46,
[final] ).
cnf(c_0_150_297,hypothesis,
( aInteger0(esk2_2(X1,X2))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
c_0_47,
[final] ).
cnf(c_0_151_298,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))) ),
c_0_48,
[final] ).
cnf(c_0_152_299,negated_conjecture,
( X1 = sz00
| sdtasdt0(X1,esk11_2(X1,X2)) = sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
c_0_49,
[final] ).
cnf(c_0_153_300,negated_conjecture,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,sz10,X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
c_0_50,
[final] ).
cnf(c_0_154_301,negated_conjecture,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
c_0_51,
[final] ).
cnf(c_0_155_302,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X3) ),
c_0_52,
[final] ).
cnf(c_0_156_303,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_53,
[final] ).
cnf(c_0_157_304,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_54,
[final] ).
cnf(c_0_158_305,hypothesis,
( aInteger0(X2)
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1))) ),
c_0_55,
[final] ).
cnf(c_0_159_306,negated_conjecture,
( X1 = sz00
| aInteger0(esk11_2(X1,X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
c_0_56,
[final] ).
cnf(c_0_160_307,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aInteger0(X3)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
c_0_57,
[final] ).
cnf(c_0_161_308,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ),
c_0_58,
[final] ).
cnf(c_0_162_309,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_59,
[final] ).
cnf(c_0_163_310,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk9_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_60,
[final] ).
cnf(c_0_164_311,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
c_0_61,
[final] ).
cnf(c_0_165_312,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,esk12_2(X1,X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
c_0_62,
[final] ).
cnf(c_0_166_313,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS)
| ~ aInteger0(X2) ),
c_0_63,
[final] ).
cnf(c_0_167_314,negated_conjecture,
( X1 = sz00
| aElementOf0(esk12_2(X1,X2),xS)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
c_0_64,
[final] ).
cnf(c_0_168_315,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ),
c_0_65,
[final] ).
cnf(c_0_169_316,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_66,
[final] ).
cnf(c_0_170_317,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_67,
[final] ).
cnf(c_0_171_318,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_68,
[final] ).
cnf(c_0_172_319,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
c_0_69,
[final] ).
cnf(c_0_173_320,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
c_0_70,
[final] ).
cnf(c_0_174_321,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
c_0_71,
[final] ).
cnf(c_0_175_322,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(esk13_1(X1),stldt0(sbsmnsldt0(xS))) ),
c_0_72,
[final] ).
cnf(c_0_176_323,negated_conjecture,
( X1 = sz00
| aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_73,
[final] ).
cnf(c_0_177_324,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)))
| ~ aElementOf0(X1,xS) ),
c_0_74,
[final] ).
cnf(c_0_178_325,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
c_0_75,
[final] ).
cnf(c_0_179_326,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
c_0_76,
[final] ).
cnf(c_0_180_327,hypothesis,
( aInteger0(esk6_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_77,
[final] ).
cnf(c_0_181_328,hypothesis,
( aInteger0(esk9_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_78,
[final] ).
cnf(c_0_182_329,negated_conjecture,
( X1 = sz00
| aElementOf0(esk13_1(X1),szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
c_0_79,
[final] ).
cnf(c_0_183_330,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
c_0_80,
[final] ).
cnf(c_0_184_331,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
c_0_81,
[final] ).
cnf(c_0_185_332,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
c_0_82,
[final] ).
cnf(c_0_186_333,hypothesis,
( aElementOf0(X1,xS)
| X2 = sz00
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X1 ),
c_0_83,
[final] ).
cnf(c_0_187_334,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk6_1(X1) != sz00 ),
c_0_84,
[final] ).
cnf(c_0_188_335,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk9_1(X1) != sz00 ),
c_0_85,
[final] ).
cnf(c_0_189_336,hypothesis,
( aElementOf0(X1,esk5_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_86,
[final] ).
cnf(c_0_190_337,hypothesis,
( aElementOf0(X1,esk8_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_87,
[final] ).
cnf(c_0_191_338,hypothesis,
( aElementOf0(X1,esk4_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_88,
[final] ).
cnf(c_0_192_339,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_89,
[final] ).
cnf(c_0_193_340,hypothesis,
( aElementOf0(esk5_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_90,
[final] ).
cnf(c_0_194_341,hypothesis,
( aElementOf0(esk8_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_91,
[final] ).
cnf(c_0_195_342,hypothesis,
( aElementOf0(esk4_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_92,
[final] ).
cnf(c_0_196_343,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_93,
[final] ).
cnf(c_0_197_344,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_94,
[final] ).
cnf(c_0_198_345,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
c_0_95,
[final] ).
cnf(c_0_199_346,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
c_0_96,
[final] ).
cnf(c_0_200_347,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
c_0_97,
[final] ).
cnf(c_0_201,negated_conjecture,
( X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
c_0_98,
[final] ).
cnf(c_0_202,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
c_0_99,
[final] ).
cnf(c_0_203,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_100,
[final] ).
cnf(c_0_204,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_101,
[final] ).
cnf(c_0_205,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
c_0_102,
[final] ).
cnf(c_0_206,hypothesis,
( aInteger0(esk1_1(X1))
| ~ aElementOf0(X1,xS) ),
c_0_103,
[final] ).
cnf(c_0_207,hypothesis,
( isPrime0(esk1_1(X1))
| ~ aElementOf0(X1,xS) ),
c_0_104,
[final] ).
cnf(c_0_208,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != sz10 ),
c_0_105,
[final] ).
cnf(c_0_209,hypothesis,
( ~ aElementOf0(X1,xS)
| esk1_1(X1) != sz00 ),
c_0_106,
[final] ).
cnf(c_0_210,hypothesis,
isOpen0(stldt0(sbsmnsldt0(xS))),
c_0_107,
[final] ).
cnf(c_0_211,hypothesis,
aSet0(stldt0(sbsmnsldt0(xS))),
c_0_108,
[final] ).
cnf(c_0_212,negated_conjecture,
( X1 = sz00
| aSet0(sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
c_0_109,
[final] ).
cnf(c_0_213,hypothesis,
aSet0(sbsmnsldt0(xS)),
c_0_110,
[final] ).
cnf(c_0_214,hypothesis,
isClosed0(sbsmnsldt0(xS)),
c_0_111,
[final] ).
cnf(c_0_215,hypothesis,
aSet0(sbsmnsldt0(xS)),
c_0_112,
[final] ).
cnf(c_0_216,hypothesis,
aSet0(sbsmnsldt0(xS)),
c_0_113,
[final] ).
cnf(c_0_217,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
c_0_114,
[final] ).
cnf(c_0_218,hypothesis,
isFinite0(xS),
c_0_115,
[final] ).
cnf(c_0_219,hypothesis,
aSet0(xS),
c_0_116,
[final] ).
cnf(c_0_220,hypothesis,
xS = cS2043,
c_0_117,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_415,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_49c94c.p',c_0_156) ).
cnf(c_792,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(copy,[status(esa)],[c_415]) ).
cnf(c_1055,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(copy,[status(esa)],[c_792]) ).
cnf(c_1196,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(copy,[status(esa)],[c_1055]) ).
cnf(c_1751,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(copy,[status(esa)],[c_1196]) ).
cnf(c_3069,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sk3_esk6_1(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(copy,[status(esa)],[c_1751]) ).
cnf(c_420,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_49c94c.p',c_0_161) ).
cnf(c_916,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(copy,[status(esa)],[c_420]) ).
cnf(c_1059,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(copy,[status(esa)],[c_916]) ).
cnf(c_1192,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(copy,[status(esa)],[c_1059]) ).
cnf(c_1755,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(copy,[status(esa)],[c_1192]) ).
cnf(c_3077,negated_conjecture,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(copy,[status(esa)],[c_1755]) ).
cnf(c_7061,plain,
( ~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(sk3_esk6_1(sz10))
| sk3_esk6_1(sz10) = sz00 ),
inference(resolution,[status(thm)],[c_3069,c_3077]) ).
cnf(c_7062,plain,
( ~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(sk3_esk6_1(sz10))
| sk3_esk6_1(sz10) = sz00 ),
inference(rewriting,[status(thm)],[c_7061]) ).
cnf(c_446,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_49c94c.p',c_0_187) ).
cnf(c_840,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
inference(copy,[status(esa)],[c_446]) ).
cnf(c_1074,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
inference(copy,[status(esa)],[c_840]) ).
cnf(c_1177,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
inference(copy,[status(esa)],[c_1074]) ).
cnf(c_1770,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
inference(copy,[status(esa)],[c_1177]) ).
cnf(c_3107,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sk3_esk6_1(X0) != sz00 ),
inference(copy,[status(esa)],[c_1770]) ).
cnf(c_439,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_49c94c.p',c_0_180) ).
cnf(c_828,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
inference(copy,[status(esa)],[c_439]) ).
cnf(c_1069,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
inference(copy,[status(esa)],[c_828]) ).
cnf(c_1182,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
inference(copy,[status(esa)],[c_1069]) ).
cnf(c_1766,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
inference(copy,[status(esa)],[c_1182]) ).
cnf(c_3099,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aInteger0(sk3_esk6_1(X0)) ),
inference(copy,[status(esa)],[c_1766]) ).
cnf(c_7328,plain,
~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(forward_subsumption_resolution,[status(thm)],[c_7062,c_3107,c_3099]) ).
cnf(c_7329,plain,
~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(rewriting,[status(thm)],[c_7328]) ).
cnf(c_467,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_49c94c.p',c_0_208) ).
cnf(c_878,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
inference(copy,[status(esa)],[c_467]) ).
cnf(c_1090,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
inference(copy,[status(esa)],[c_878]) ).
cnf(c_1161,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
inference(copy,[status(esa)],[c_1090]) ).
cnf(c_1786,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
inference(copy,[status(esa)],[c_1161]) ).
cnf(c_3139,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 != sz10 ),
inference(copy,[status(esa)],[c_1786]) ).
cnf(c_7348,plain,
sz10 != sz10,
inference(resolution,[status(thm)],[c_7329,c_3139]) ).
cnf(c_7351,plain,
sz10 != sz10,
inference(rewriting,[status(thm)],[c_7348]) ).
cnf(c_7352,plain,
$false,
inference(equality_resolution_simp,[status(esa)],[c_7351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 19:35:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.20/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.43 % FOF problem with conjecture
% 0.20/0.43 % 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_b4c7e5.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_49c94c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0a0c45 | grep -v "SZS"
% 0.20/0.46
% 0.20/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ iProver source info
% 0.20/0.46
% 0.20/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.46 % git: non_committed_changes: true
% 0.20/0.46 % git: last_make_outside_of_git: true
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.36/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.54 % --bmc1_dump_file -
% 0.36/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.54 % --bmc1_ucm_extend_mode 1
% 0.36/0.54 % --bmc1_ucm_init_mode 2
% 0.36/0.54 % --bmc1_ucm_cone_mode none
% 0.36/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.54 % --bmc1_ucm_relax_model 4
% 0.36/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.54 % --bmc1_ucm_layered_model none
% 0.36/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.54
% 0.36/0.54 % ------ AIG Options
% 0.36/0.54
% 0.36/0.54 % --aig_mode false
% 0.36/0.54
% 0.36/0.54 % ------ Instantiation Options
% 0.36/0.54
% 0.36/0.54 % --instantiation_flag true
% 0.36/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.54 % --inst_solver_per_active 750
% 0.36/0.54 % --inst_solver_calls_frac 0.5
% 0.36/0.54 % --inst_passive_queue_type priority_queues
% 0.36/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.54 % --inst_passive_queues_freq [25;2]
% 0.36/0.54 % --inst_dismatching true
% 0.36/0.54 % --inst_eager_unprocessed_to_passive true
% 0.36/0.54 % --inst_prop_sim_given true
% 0.36/0.54 % --inst_prop_sim_new false
% 0.36/0.54 % --inst_orphan_elimination true
% 0.36/0.54 % --inst_learning_loop_flag true
% 0.36/0.54 % --inst_learning_start 3000
% 0.36/0.54 % --inst_learning_factor 2
% 0.36/0.54 % --inst_start_prop_sim_after_learn 3
% 0.36/0.54 % --inst_sel_renew solver
% 0.36/0.54 % --inst_lit_activity_flag true
% 0.36/0.54 % --inst_out_proof true
% 0.36/0.54
% 0.36/0.54 % ------ Resolution Options
% 0.36/0.54
% 0.36/0.54 % --resolution_flag true
% 0.36/0.54 % --res_lit_sel kbo_max
% 0.36/0.54 % --res_to_prop_solver none
% 0.36/0.54 % --res_prop_simpl_new false
% 0.36/0.54 % --res_prop_simpl_given false
% 0.36/0.54 % --res_passive_queue_type priority_queues
% 0.36/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.36/0.54 % --res_passive_queues_freq [15;5]
% 0.36/0.54 % --res_forward_subs full
% 0.36/0.54 % --res_backward_subs full
% 0.36/0.54 % --res_forward_subs_resolution true
% 0.36/0.54 % --res_backward_subs_resolution true
% 0.36/0.54 % --res_orphan_elimination false
% 0.36/0.54 % --res_time_limit 1000.
% 0.36/0.54 % --res_out_proof true
% 0.36/0.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b4c7e5.s
% 0.36/0.54 % --modulo true
% 0.36/0.54
% 0.36/0.54 % ------ Combination Options
% 0.36/0.54
% 0.36/0.54 % --comb_res_mult 1000
% 0.36/0.54 % --comb_inst_mult 300
% 0.36/0.54 % ------
% 0.36/0.54
% 0.36/0.54 % ------ Parsing...% successful
% 0.36/0.54
% 0.36/0.54 % ------ Preprocessing... gs_s sp: 34 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.36/0.54
% 0.36/0.54 % ------ Proving...
% 0.36/0.54 % ------ Problem Properties
% 0.36/0.54
% 0.36/0.54 %
% 0.36/0.54 % EPR false
% 0.36/0.54 % Horn false
% 0.36/0.54 % Has equality true
% 0.36/0.54
% 0.36/0.54 % % ------ Input Options Time Limit: Unbounded
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54 % % ------ Current options:
% 0.36/0.54
% 0.36/0.54 % ------ Input Options
% 0.36/0.54
% 0.36/0.54 % --out_options all
% 0.36/0.54 % --tptp_safe_out true
% 0.36/0.54 % --problem_path ""
% 0.36/0.54 % --include_path ""
% 0.36/0.54 % --clausifier .//eprover
% 0.36/0.54 % --clausifier_options --tstp-format
% 0.36/0.54 % --stdin false
% 0.36/0.54 % --dbg_backtrace false
% 0.36/0.54 % --dbg_dump_prop_clauses false
% 0.36/0.54 % --dbg_dump_prop_clauses_file -
% 0.36/0.54 % --dbg_out_stat false
% 0.36/0.54
% 0.36/0.54 % ------ General Options
% 0.36/0.54
% 0.36/0.54 % --fof false
% 0.36/0.54 % --time_out_real 150.
% 0.36/0.54 % --time_out_prep_mult 0.2
% 0.36/0.54 % --time_out_virtual -1.
% 0.36/0.54 % --schedule none
% 0.36/0.54 % --ground_splitting input
% 0.36/0.54 % --splitting_nvd 16
% 0.36/0.54 % --non_eq_to_eq false
% 0.36/0.54 % --prep_gs_sim true
% 0.36/0.54 % --prep_unflatten false
% 0.36/0.54 % --prep_res_sim true
% 0.36/0.54 % --prep_upred true
% 0.36/0.54 % --res_sim_input true
% 0.36/0.54 % --clause_weak_htbl true
% 0.36/0.54 % --gc_record_bc_elim false
% 0.36/0.54 % --symbol_type_check false
% 0.36/0.54 % --clausify_out false
% 0.36/0.54 % --large_theory_mode false
% 0.36/0.54 % --prep_sem_filter none
% 0.36/0.54 % --prep_sem_filter_out false
% 0.36/0.54 % --preprocessed_out false
% 0.36/0.54 % --sub_typing false
% 0.36/0.54 % --brand_transform false
% 0.36/0.54 % --pure_diseq_elim true
% 0.36/0.54 % --min_unsat_core false
% 0.36/0.54 % --pred_elim true
% 0.36/0.54 % --add_important_lit false
% 0.36/0.54 % --soft_assumptions false
% 0.36/0.54 % --reset_solvers false
% 0.36/0.54 % --bc_imp_inh []
% 0.36/0.54 % --conj_cone_tolerance 1.5
% 0.36/0.54 % --prolific_symb_bound 500
% 0.36/0.54 % --lt_threshold 2000
% 0.36/0.54
% 0.36/0.54 % ------ SAT Options
% 0.36/0.54
% 0.36/0.54 % --sat_mode false
% 0.36/0.54 % --sat_fm_restart_options ""
% 0.36/0.54 % --sat_gr_def false
% 0.36/0.54 % --sat_epr_types true
% 0.36/0.54 % --sat_non_cyclic_types false
% 0.36/0.54 % --sat_finite_models false
% 0.36/0.54 % --sat_fm_lemmas false
% 0.36/0.54 % --sat_fm_prep false
% 0.36/0.54 % --sat_fm_uc_incr true
% 0.36/0.54 % --sat_out_model small
% 0.36/0.54 % --sat_out_clauses false
% 0.36/0.54
% 0.36/0.54 % ------ QBF Options
% 0.36/0.54
% 0.36/0.54 % --qbf_mode false
% 0.36/0.54 % --qbf_elim_univ true
% 0.36/0.54 % --qbf_sk_in true
% 0.36/0.54 % --qbf_pred_elim true
% 0.36/0.54 % --qbf_split 32
% 0.36/0.54
% 0.36/0.54 % ------ BMC1 Options
% 0.36/0.54
% 0.36/0.54 % --bmc1_incremental false
% 0.36/0.54 % --bmc1_axioms reachable_all
% 0.36/0.54 % --bmc1_min_bound 0
% 0.36/0.54 % --bmc1_max_bound -1
% 0.36/0.54 % --bmc1_max_bound_default -1
% 0.36/0.54 % --bmc1_symbol_reachability true
% 0.36/0.54 % --bmc1_property_lemmas false
% 0.36/0.54 % --bmc1_k_induction false
% 0.36/0.54 % --bmc1_non_equiv_states false
% 0.36/0.54 % --bmc1_deadlock false
% 0.36/0.54 % --bmc1_ucm false
% 0.36/0.54 % --bmc1_add_unsat_core none
% 0.36/0.54 % --bmc1_unsat_core_children false
% 0.36/0.54 % --bmc1_unsat_core_extrapolate_axioms false
% 0.36/0.54 % --bmc1_out_stat full
% 0.36/0.54 % --bmc1_ground_init false
% 0.36/0.54 % --bmc1_pre_inst_next_state false
% 0.36/0.54 % --bmc1_pre_inst_state false
% 0.36/0.54 % --bmc1_pre_inst_reach_state false
% 0.36/0.54 % --bmc1_out_unsat_core false
% 0.36/0.54 % --bmc1_aig_witness_out false
% 0.36/0.54 % --bmc1_verbose false
% 0.36/0.54 % --bmc1_dump_clauses_tptp false
% 0.36/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.54 % --bmc1_dump_file -
% 0.36/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.54 % --bmc1_ucm_extend_mode 1
% 0.36/0.54 % --bmc1_ucm_init_mode 2
% 0.36/0.54 % --bmc1_ucm_cone_mode none
% 0.36/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.54 % --bmc1_ucm_relax_model 4
% 0.36/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.54 % --bmc1_ucm_layered_model none
% 0.36/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.54
% 0.36/0.54 % ------ AIG Options
% 0.36/0.54
% 0.36/0.54 % --aig_mode false
% 0.36/0.54
% 0.36/0.54 % ------ Instantiation Options
% 0.36/0.54
% 0.36/0.54 % --instantiation_flag true
% 0.36/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.54 % --inst_solver_per_active 750
% 0.36/0.54 % --inst_solver_calls_frac 0.5
% 0.36/0.54 % --inst_passive_queue_type priority_queues
% 0.36/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.54 % --inst_passive_queues_freq [25;2]
% 0.36/0.54 % --inst_dismatching true
% 0.36/0.54 % --inst_eager_unprocessed_to_passive true
% 0.45/0.68 % --inst_prop_sim_given true
% 0.45/0.68 % --inst_prop_sim_new false
% 0.45/0.68 % --inst_orphan_elimination true
% 0.45/0.68 % --inst_learning_loop_flag true
% 0.45/0.68 % --inst_learning_start 3000
% 0.45/0.68 % --inst_learning_factor 2
% 0.45/0.68 % --inst_start_prop_sim_after_learn 3
% 0.45/0.68 % --inst_sel_renew solver
% 0.45/0.68 % --inst_lit_activity_flag true
% 0.45/0.68 % --inst_out_proof true
% 0.45/0.68
% 0.45/0.68 % ------ Resolution Options
% 0.45/0.68
% 0.45/0.68 % --resolution_flag true
% 0.45/0.68 % --res_lit_sel kbo_max
% 0.45/0.68 % --res_to_prop_solver none
% 0.45/0.68 % --res_prop_simpl_new false
% 0.45/0.68 % --res_prop_simpl_given false
% 0.45/0.68 % --res_passive_queue_type priority_queues
% 0.45/0.68 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.45/0.68 % --res_passive_queues_freq [15;5]
% 0.45/0.68 % --res_forward_subs full
% 0.45/0.68 % --res_backward_subs full
% 0.45/0.68 % --res_forward_subs_resolution true
% 0.45/0.68 % --res_backward_subs_resolution true
% 0.45/0.68 % --res_orphan_elimination false
% 0.45/0.68 % --res_time_limit 1000.
% 0.45/0.68 % --res_out_proof true
% 0.45/0.68 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b4c7e5.s
% 0.45/0.68 % --modulo true
% 0.45/0.68
% 0.45/0.68 % ------ Combination Options
% 0.45/0.68
% 0.45/0.68 % --comb_res_mult 1000
% 0.45/0.68 % --comb_inst_mult 300
% 0.45/0.68 % ------
% 0.45/0.68
% 0.45/0.68
% 0.45/0.68
% 0.45/0.68 % ------ Proving...
% 0.45/0.68 %
% 0.45/0.68
% 0.45/0.68
% 0.45/0.68 % Resolution empty clause
% 0.45/0.68
% 0.45/0.68 % ------ Statistics
% 0.45/0.68
% 0.45/0.68 % ------ General
% 0.45/0.68
% 0.45/0.68 % num_of_input_clauses: 480
% 0.45/0.68 % num_of_input_neg_conjectures: 20
% 0.45/0.68 % num_of_splits: 34
% 0.45/0.68 % num_of_split_atoms: 14
% 0.45/0.68 % num_of_sem_filtered_clauses: 0
% 0.45/0.68 % num_of_subtypes: 0
% 0.45/0.68 % monotx_restored_types: 0
% 0.45/0.68 % sat_num_of_epr_types: 0
% 0.45/0.68 % sat_num_of_non_cyclic_types: 0
% 0.45/0.68 % sat_guarded_non_collapsed_types: 0
% 0.45/0.68 % is_epr: 0
% 0.45/0.68 % is_horn: 0
% 0.45/0.68 % has_eq: 1
% 0.45/0.68 % num_pure_diseq_elim: 0
% 0.45/0.68 % simp_replaced_by: 0
% 0.45/0.68 % res_preprocessed: 157
% 0.45/0.68 % prep_upred: 0
% 0.45/0.68 % prep_unflattend: 11
% 0.45/0.68 % pred_elim_cands: 18
% 0.45/0.68 % pred_elim: 18
% 0.45/0.68 % pred_elim_cl: 25
% 0.45/0.68 % pred_elim_cycles: 20
% 0.45/0.68 % forced_gc_time: 0
% 0.45/0.68 % gc_basic_clause_elim: 0
% 0.45/0.68 % parsing_time: 0.028
% 0.45/0.68 % sem_filter_time: 0.
% 0.45/0.68 % pred_elim_time: 0.014
% 0.45/0.68 % out_proof_time: 0.
% 0.45/0.68 % monotx_time: 0.
% 0.45/0.68 % subtype_inf_time: 0.
% 0.45/0.68 % unif_index_cands_time: 0.
% 0.45/0.68 % unif_index_add_time: 0.
% 0.45/0.68 % total_time: 0.238
% 0.45/0.68 % num_of_symbols: 91
% 0.45/0.68 % num_of_terms: 4329
% 0.45/0.68
% 0.45/0.68 % ------ Propositional Solver
% 0.45/0.68
% 0.45/0.68 % prop_solver_calls: 1
% 0.45/0.68 % prop_fast_solver_calls: 979
% 0.45/0.68 % prop_num_of_clauses: 467
% 0.45/0.68 % prop_preprocess_simplified: 2754
% 0.45/0.68 % prop_fo_subsumed: 34
% 0.45/0.68 % prop_solver_time: 0.
% 0.45/0.68 % prop_fast_solver_time: 0.001
% 0.45/0.68 % prop_unsat_core_time: 0.
% 0.45/0.68
% 0.45/0.68 % ------ QBF
% 0.45/0.68
% 0.45/0.68 % qbf_q_res: 0
% 0.45/0.68 % qbf_num_tautologies: 0
% 0.45/0.68 % qbf_prep_cycles: 0
% 0.45/0.68
% 0.45/0.68 % ------ BMC1
% 0.45/0.68
% 0.45/0.68 % bmc1_current_bound: -1
% 0.45/0.68 % bmc1_last_solved_bound: -1
% 0.45/0.68 % bmc1_unsat_core_size: -1
% 0.45/0.68 % bmc1_unsat_core_parents_size: -1
% 0.45/0.68 % bmc1_merge_next_fun: 0
% 0.45/0.68 % bmc1_unsat_core_clauses_time: 0.
% 0.45/0.68
% 0.45/0.68 % ------ Instantiation
% 0.45/0.68
% 0.45/0.68 % inst_num_of_clauses: 453
% 0.45/0.68 % inst_num_in_passive: 0
% 0.45/0.68 % inst_num_in_active: 0
% 0.45/0.68 % inst_num_in_unprocessed: 456
% 0.50/0.68 % inst_num_of_loops: 0
% 0.50/0.68 % inst_num_of_learning_restarts: 0
% 0.50/0.68 % inst_num_moves_active_passive: 0
% 0.50/0.68 % inst_lit_activity: 0
% 0.50/0.68 % inst_lit_activity_moves: 0
% 0.50/0.68 % inst_num_tautologies: 0
% 0.50/0.68 % inst_num_prop_implied: 0
% 0.50/0.68 % inst_num_existing_simplified: 0
% 0.50/0.68 % inst_num_eq_res_simplified: 0
% 0.50/0.68 % inst_num_child_elim: 0
% 0.50/0.68 % inst_num_of_dismatching_blockings: 0
% 0.50/0.68 % inst_num_of_non_proper_insts: 0
% 0.50/0.68 % inst_num_of_duplicates: 0
% 0.50/0.68 % inst_inst_num_from_inst_to_res: 0
% 0.50/0.68 % inst_dismatching_checking_time: 0.
% 0.50/0.68
% 0.50/0.68 % ------ Resolution
% 0.50/0.68
% 0.50/0.68 % res_num_of_clauses: 2223
% 0.50/0.68 % res_num_in_passive: 1578
% 0.50/0.68 % res_num_in_active: 285
% 0.50/0.68 % res_num_of_loops: 121
% 0.50/0.68 % res_forward_subset_subsumed: 223
% 0.50/0.68 % res_backward_subset_subsumed: 3
% 0.50/0.68 % res_forward_subsumed: 30
% 0.50/0.68 % res_backward_subsumed: 0
% 0.50/0.68 % res_forward_subsumption_resolution: 8
% 0.50/0.68 % res_backward_subsumption_resolution: 0
% 0.50/0.68 % res_clause_to_clause_subsumption: 768
% 0.50/0.68 % res_orphan_elimination: 0
% 0.50/0.68 % res_tautology_del: 21
% 0.50/0.68 % res_num_eq_res_simplified: 0
% 0.50/0.68 % res_num_sel_changes: 0
% 0.50/0.68 % res_moves_from_active_to_pass: 0
% 0.50/0.68
% 0.50/0.68 % Status Unsatisfiable
% 0.50/0.68 % SZS status Theorem
% 0.50/0.68 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------