TSTP Solution File: LAT388+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n003.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 : Sun Jul 17 05:25:54 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : CNFRefutation 0.18s
% 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(mDefMonot,axiom,
! [W0] :
( aFunction0(W0)
=> ( isMonotone0(W0)
<=> ! [W1,W2] :
( ( aElementOf0(W1,szDzozmdt0(W0))
& aElementOf0(W2,szDzozmdt0(W0)) )
=> ( sdtlseqdt0(W1,W2)
=> sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)) ) ) ) ),
input ).
fof(mDefMonot_0,plain,
! [W0] :
( ~ aFunction0(W0)
| ( isMonotone0(W0)
<=> ! [W1,W2] :
( ( aElementOf0(W1,szDzozmdt0(W0))
& aElementOf0(W2,szDzozmdt0(W0)) )
=> ( sdtlseqdt0(W1,W2)
=> sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)) ) ) ) ),
inference(orientation,[status(thm)],[mDefMonot]) ).
fof(mDefFix,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aFixedPointOf0(W1,W0)
<=> ( aElementOf0(W1,szDzozmdt0(W0))
& sdtlpdtrp0(W0,W1) = W1 ) ) ),
input ).
fof(mDefFix_0,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( aFixedPointOf0(W1,W0)
<=> ( aElementOf0(W1,szDzozmdt0(W0))
& sdtlpdtrp0(W0,W1) = W1 ) ) ),
inference(orientation,[status(thm)],[mDefFix]) ).
fof(mImgSort,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)) ) ),
input ).
fof(mImgSort_0,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)) ) ),
inference(orientation,[status(thm)],[mImgSort]) ).
fof(mRanSort,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szRzazndt0(W0)) ),
input ).
fof(mRanSort_0,plain,
! [W0] :
( ~ aFunction0(W0)
| aSet0(szRzazndt0(W0)) ),
inference(orientation,[status(thm)],[mRanSort]) ).
fof(mDomSort,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
input ).
fof(mDomSort_0,plain,
! [W0] :
( ~ aFunction0(W0)
| aSet0(szDzozmdt0(W0)) ),
inference(orientation,[status(thm)],[mDomSort]) ).
fof(mConMap,axiom,
! [W0] :
( aFunction0(W0)
=> $true ),
input ).
fof(mConMap_0,plain,
! [W0] :
( ~ aFunction0(W0)
| $true ),
inference(orientation,[status(thm)],[mConMap]) ).
fof(mDefCLat,axiom,
! [W0] :
( aCompleteLattice0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( aInfimumOfIn0(W2,W1,W0)
& ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ),
input ).
fof(mDefCLat_0,plain,
! [W0] :
( aCompleteLattice0(W0)
| ~ ( aSet0(W0)
& ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( aInfimumOfIn0(W2,W1,W0)
& ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ),
inference(orientation,[status(thm)],[mDefCLat]) ).
fof(mDefCLat_1,plain,
! [W0] :
( ~ aCompleteLattice0(W0)
| ( aSet0(W0)
& ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( aInfimumOfIn0(W2,W1,W0)
& ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ),
inference(orientation,[status(thm)],[mDefCLat]) ).
fof(mInfUn,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aInfimumOfIn0(W2,W1,W0)
& aInfimumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
input ).
fof(mInfUn_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aInfimumOfIn0(W2,W1,W0)
& aInfimumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
inference(orientation,[status(thm)],[mInfUn]) ).
fof(mSupUn,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aSupremumOfIn0(W2,W1,W0)
& aSupremumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
input ).
fof(mSupUn_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aSupremumOfIn0(W2,W1,W0)
& aSupremumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
inference(orientation,[status(thm)],[mSupUn]) ).
fof(mDefSup,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aUpperBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aUpperBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
input ).
fof(mDefSup_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aUpperBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aUpperBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
inference(orientation,[status(thm)],[mDefSup]) ).
fof(mDefInf,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aLowerBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aLowerBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
input ).
fof(mDefInf_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aLowerBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aLowerBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
inference(orientation,[status(thm)],[mDefInf]) ).
fof(mDefUB,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aUpperBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
input ).
fof(mDefUB_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aUpperBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
inference(orientation,[status(thm)],[mDefUB]) ).
fof(mDefLB,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aLowerBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
input ).
fof(mDefLB_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aLowerBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
inference(orientation,[status(thm)],[mDefLB]) ).
fof(mARefl,axiom,
! [W0] :
( aElement0(W0)
=> sdtlseqdt0(W0,W0) ),
input ).
fof(mARefl_0,plain,
! [W0] :
( ~ aElement0(W0)
| sdtlseqdt0(W0,W0) ),
inference(orientation,[status(thm)],[mARefl]) ).
fof(mDefSub,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
input ).
fof(mDefSub_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(orientation,[status(thm)],[mDefSub]) ).
fof(mDefEmpty,axiom,
! [W0] :
( aSet0(W0)
=> ( isEmpty0(W0)
<=> ~ ? [W1] : aElementOf0(W1,W0) ) ),
input ).
fof(mDefEmpty_0,plain,
! [W0] :
( ~ aSet0(W0)
| ( isEmpty0(W0)
<=> ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(orientation,[status(thm)],[mDefEmpty]) ).
fof(mEOfElem,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
input ).
fof(mEOfElem_0,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
inference(orientation,[status(thm)],[mEOfElem]) ).
fof(mElmSort,axiom,
! [W0] :
( aElement0(W0)
=> $true ),
input ).
fof(mElmSort_0,plain,
! [W0] :
( ~ aElement0(W0)
| $true ),
inference(orientation,[status(thm)],[mElmSort]) ).
fof(mSetSort,axiom,
! [W0] :
( aSet0(W0)
=> $true ),
input ).
fof(mSetSort_0,plain,
! [W0] :
( ~ aSet0(W0)
| $true ),
inference(orientation,[status(thm)],[mSetSort]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aSet0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mSetSort_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [W0] :
( lhs_atom2(W0)
<=> ~ aElement0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [W0] :
( lhs_atom2(W0)
| $true ),
inference(fold_definition,[status(thm)],[mElmSort_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
inference(fold_definition,[status(thm)],[mEOfElem_0,def_lhs_atom1]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom1(W0)
| ( isEmpty0(W0)
<=> ~ ? [W1] : aElementOf0(W1,W0) ) ),
inference(fold_definition,[status(thm)],[mDefEmpty_0,def_lhs_atom1]) ).
fof(to_be_clausified_4,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefSub_0,def_lhs_atom1]) ).
fof(to_be_clausified_5,plain,
! [W0] :
( lhs_atom2(W0)
| sdtlseqdt0(W0,W0) ),
inference(fold_definition,[status(thm)],[mARefl_0,def_lhs_atom2]) ).
fof(to_be_clausified_6,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aLowerBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefLB_0,def_lhs_atom1]) ).
fof(to_be_clausified_7,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aUpperBoundOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefUB_0,def_lhs_atom1]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aLowerBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aLowerBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W3,W2) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefInf_0,def_lhs_atom1]) ).
fof(to_be_clausified_9,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aUpperBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aUpperBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefSup_0,def_lhs_atom1]) ).
fof(to_be_clausified_10,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aSupremumOfIn0(W2,W1,W0)
& aSupremumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
inference(fold_definition,[status(thm)],[mSupUn_0,def_lhs_atom1]) ).
fof(to_be_clausified_11,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aInfimumOfIn0(W2,W1,W0)
& aInfimumOfIn0(W3,W1,W0) )
=> W2 = W3 ) ) ),
inference(fold_definition,[status(thm)],[mInfUn_0,def_lhs_atom1]) ).
fof(def_lhs_atom3,axiom,
! [W0] :
( lhs_atom3(W0)
<=> ~ aCompleteLattice0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom3(W0)
| ( aSet0(W0)
& ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( aInfimumOfIn0(W2,W1,W0)
& ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefCLat_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [W0] :
( lhs_atom4(W0)
<=> aCompleteLattice0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom4(W0)
| ~ ( aSet0(W0)
& ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( aInfimumOfIn0(W2,W1,W0)
& ? [W3] : aSupremumOfIn0(W3,W1,W0) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefCLat_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W0] :
( lhs_atom5(W0)
<=> ~ aFunction0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom5(W0)
| $true ),
inference(fold_definition,[status(thm)],[mConMap_0,def_lhs_atom5]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom5(W0)
| aSet0(szDzozmdt0(W0)) ),
inference(fold_definition,[status(thm)],[mDomSort_0,def_lhs_atom5]) ).
fof(to_be_clausified_16,plain,
! [W0] :
( lhs_atom5(W0)
| aSet0(szRzazndt0(W0)) ),
inference(fold_definition,[status(thm)],[mRanSort_0,def_lhs_atom5]) ).
fof(to_be_clausified_17,plain,
! [W0] :
( lhs_atom5(W0)
| ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)) ) ),
inference(fold_definition,[status(thm)],[mImgSort_0,def_lhs_atom5]) ).
fof(to_be_clausified_18,plain,
! [W0] :
( lhs_atom5(W0)
| ! [W1] :
( aFixedPointOf0(W1,W0)
<=> ( aElementOf0(W1,szDzozmdt0(W0))
& sdtlpdtrp0(W0,W1) = W1 ) ) ),
inference(fold_definition,[status(thm)],[mDefFix_0,def_lhs_atom5]) ).
fof(to_be_clausified_19,plain,
! [W0] :
( lhs_atom5(W0)
| ( isMonotone0(W0)
<=> ! [W1,W2] :
( ( aElementOf0(W1,szDzozmdt0(W0))
& aElementOf0(W2,szDzozmdt0(W0)) )
=> ( sdtlseqdt0(W1,W2)
=> sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefMonot_0,def_lhs_atom5]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aSupremumOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& aUpperBoundOfIn0(X3,X2,X1)
& ! [X4] :
( aUpperBoundOfIn0(X4,X2,X1)
=> sdtlseqdt0(X3,X4) ) ) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aInfimumOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& aLowerBoundOfIn0(X3,X2,X1)
& ! [X4] :
( aLowerBoundOfIn0(X4,X2,X1)
=> sdtlseqdt0(X4,X3) ) ) ) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aUpperBoundOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlseqdt0(X4,X3) ) ) ) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aLowerBoundOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlseqdt0(X3,X4) ) ) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_4,axiom,
! [X1] :
( lhs_atom4(X1)
| ~ ( aSet0(X1)
& ! [X2] :
( aSubsetOf0(X2,X1)
=> ? [X3] :
( aInfimumOfIn0(X3,X2,X1)
& ? [X4] : aSupremumOfIn0(X4,X2,X1) ) ) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_5,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3,X4] :
( ( aInfimumOfIn0(X3,X2,X1)
& aInfimumOfIn0(X4,X2,X1) )
=> X3 = X4 ) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_6,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3,X4] :
( ( aSupremumOfIn0(X3,X2,X1)
& aSupremumOfIn0(X4,X2,X1) )
=> X3 = X4 ) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_7,axiom,
! [X1] :
( lhs_atom5(X1)
| ( isMonotone0(X1)
<=> ! [X2,X3] :
( ( aElementOf0(X2,szDzozmdt0(X1))
& aElementOf0(X3,szDzozmdt0(X1)) )
=> ( sdtlseqdt0(X2,X3)
=> sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3)) ) ) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom3(X1)
| ( aSet0(X1)
& ! [X2] :
( aSubsetOf0(X2,X1)
=> ? [X3] :
( aInfimumOfIn0(X3,X2,X1)
& ? [X4] : aSupremumOfIn0(X4,X2,X1) ) ) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom5(X1)
| ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom5(X1)
| ! [X2] :
( aFixedPointOf0(X2,X1)
<=> ( aElementOf0(X2,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X2) = X2 ) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isEmpty0(X1)
<=> ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_14,axiom,
! [X1] :
( lhs_atom2(X1)
| sdtlseqdt0(X1,X1) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_15,axiom,
! [X1] :
( lhs_atom5(X1)
| aSet0(szRzazndt0(X1)) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom5(X1)
| aSet0(szDzozmdt0(X1)) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_17,axiom,
! [X1] :
( lhs_atom5(X1)
| $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_18,axiom,
! [X1] :
( lhs_atom2(X1)
| $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aSupremumOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& aUpperBoundOfIn0(X3,X2,X1)
& ! [X4] :
( aUpperBoundOfIn0(X4,X2,X1)
=> sdtlseqdt0(X3,X4) ) ) ) ) ),
c_0_0 ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aInfimumOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& aLowerBoundOfIn0(X3,X2,X1)
& ! [X4] :
( aLowerBoundOfIn0(X4,X2,X1)
=> sdtlseqdt0(X4,X3) ) ) ) ) ),
c_0_1 ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aUpperBoundOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlseqdt0(X4,X3) ) ) ) ) ),
c_0_2 ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aLowerBoundOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlseqdt0(X3,X4) ) ) ) ) ),
c_0_3 ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom4(X1)
| ~ ( aSet0(X1)
& ! [X2] :
( aSubsetOf0(X2,X1)
=> ? [X3] :
( aInfimumOfIn0(X3,X2,X1)
& ? [X4] : aSupremumOfIn0(X4,X2,X1) ) ) ) ),
c_0_4 ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3,X4] :
( ( aInfimumOfIn0(X3,X2,X1)
& aInfimumOfIn0(X4,X2,X1) )
=> X3 = X4 ) ) ),
c_0_5 ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3,X4] :
( ( aSupremumOfIn0(X3,X2,X1)
& aSupremumOfIn0(X4,X2,X1) )
=> X3 = X4 ) ) ),
c_0_6 ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom5(X1)
| ( isMonotone0(X1)
<=> ! [X2,X3] :
( ( aElementOf0(X2,szDzozmdt0(X1))
& aElementOf0(X3,szDzozmdt0(X1)) )
=> ( sdtlseqdt0(X2,X3)
=> sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3)) ) ) ) ),
c_0_7 ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom3(X1)
| ( aSet0(X1)
& ! [X2] :
( aSubsetOf0(X2,X1)
=> ? [X3] :
( aInfimumOfIn0(X3,X2,X1)
& ? [X4] : aSupremumOfIn0(X4,X2,X1) ) ) ) ),
c_0_8 ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
c_0_9 ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom5(X1)
| ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
c_0_10 ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom5(X1)
| ! [X2] :
( aFixedPointOf0(X2,X1)
<=> ( aElementOf0(X2,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X2) = X2 ) ) ),
c_0_11 ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isEmpty0(X1)
<=> ~ ? [X2] : aElementOf0(X2,X1) ) ),
c_0_12 ).
fof(c_0_33,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
c_0_13 ).
fof(c_0_34,axiom,
! [X1] :
( lhs_atom2(X1)
| sdtlseqdt0(X1,X1) ),
c_0_14 ).
fof(c_0_35,axiom,
! [X1] :
( lhs_atom5(X1)
| aSet0(szRzazndt0(X1)) ),
c_0_15 ).
fof(c_0_36,axiom,
! [X1] :
( lhs_atom5(X1)
| aSet0(szDzozmdt0(X1)) ),
c_0_16 ).
fof(c_0_37,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_38,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_39,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_40,plain,
! [X5,X6,X7,X8,X9] :
( ( aElementOf0(X7,X5)
| ~ aSupremumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aUpperBoundOfIn0(X7,X6,X5)
| ~ aSupremumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ aUpperBoundOfIn0(X8,X6,X5)
| sdtlseqdt0(X7,X8)
| ~ aSupremumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aUpperBoundOfIn0(esk6_3(X5,X6,X9),X6,X5)
| ~ aUpperBoundOfIn0(X9,X6,X5)
| ~ aElementOf0(X9,X5)
| aSupremumOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ sdtlseqdt0(X9,esk6_3(X5,X6,X9))
| ~ aUpperBoundOfIn0(X9,X6,X5)
| ~ aElementOf0(X9,X5)
| aSupremumOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(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_20])])])])])]) ).
fof(c_0_41,plain,
! [X5,X6,X7,X8,X9] :
( ( aElementOf0(X7,X5)
| ~ aInfimumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aLowerBoundOfIn0(X7,X6,X5)
| ~ aInfimumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ aLowerBoundOfIn0(X8,X6,X5)
| sdtlseqdt0(X8,X7)
| ~ aInfimumOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aLowerBoundOfIn0(esk5_3(X5,X6,X9),X6,X5)
| ~ aLowerBoundOfIn0(X9,X6,X5)
| ~ aElementOf0(X9,X5)
| aInfimumOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ sdtlseqdt0(esk5_3(X5,X6,X9),X9)
| ~ aLowerBoundOfIn0(X9,X6,X5)
| ~ aElementOf0(X9,X5)
| aInfimumOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(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_21])])])])])]) ).
fof(c_0_42,plain,
! [X5,X6,X7,X8,X9] :
( ( aElementOf0(X7,X5)
| ~ aUpperBoundOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ aElementOf0(X8,X6)
| sdtlseqdt0(X8,X7)
| ~ aUpperBoundOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aElementOf0(esk4_3(X5,X6,X9),X6)
| ~ aElementOf0(X9,X5)
| aUpperBoundOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ sdtlseqdt0(esk4_3(X5,X6,X9),X9)
| ~ aElementOf0(X9,X5)
| aUpperBoundOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(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_22])])])])])]) ).
fof(c_0_43,plain,
! [X5,X6,X7,X8,X9] :
( ( aElementOf0(X7,X5)
| ~ aLowerBoundOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ aElementOf0(X8,X6)
| sdtlseqdt0(X7,X8)
| ~ aLowerBoundOfIn0(X7,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( aElementOf0(esk3_3(X5,X6,X9),X6)
| ~ aElementOf0(X9,X5)
| aLowerBoundOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(X5) )
& ( ~ sdtlseqdt0(X9,esk3_3(X5,X6,X9))
| ~ aElementOf0(X9,X5)
| aLowerBoundOfIn0(X9,X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom1(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_23])])])])])]) ).
fof(c_0_44,plain,
! [X5,X7,X8] :
( ( aSubsetOf0(esk9_1(X5),X5)
| ~ aSet0(X5)
| lhs_atom4(X5) )
& ( ~ aInfimumOfIn0(X7,esk9_1(X5),X5)
| ~ aSupremumOfIn0(X8,esk9_1(X5),X5)
| ~ aSet0(X5)
| lhs_atom4(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_24])])])])])]) ).
fof(c_0_45,plain,
! [X5,X6,X7,X8] :
( lhs_atom1(X5)
| ~ aSubsetOf0(X6,X5)
| ~ aInfimumOfIn0(X7,X6,X5)
| ~ aInfimumOfIn0(X8,X6,X5)
| X7 = X8 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_46,plain,
! [X5,X6,X7,X8] :
( lhs_atom1(X5)
| ~ aSubsetOf0(X6,X5)
| ~ aSupremumOfIn0(X7,X6,X5)
| ~ aSupremumOfIn0(X8,X6,X5)
| X7 = X8 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_47,plain,
! [X4,X5,X6] :
( ( ~ isMonotone0(X4)
| ~ aElementOf0(X5,szDzozmdt0(X4))
| ~ aElementOf0(X6,szDzozmdt0(X4))
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(sdtlpdtrp0(X4,X5),sdtlpdtrp0(X4,X6))
| lhs_atom5(X4) )
& ( aElementOf0(esk10_1(X4),szDzozmdt0(X4))
| isMonotone0(X4)
| lhs_atom5(X4) )
& ( aElementOf0(esk11_1(X4),szDzozmdt0(X4))
| isMonotone0(X4)
| lhs_atom5(X4) )
& ( sdtlseqdt0(esk10_1(X4),esk11_1(X4))
| isMonotone0(X4)
| lhs_atom5(X4) )
& ( ~ sdtlseqdt0(sdtlpdtrp0(X4,esk10_1(X4)),sdtlpdtrp0(X4,esk11_1(X4)))
| isMonotone0(X4)
| lhs_atom5(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_27])])])])]) ).
fof(c_0_48,plain,
! [X5,X6] :
( ( aSet0(X5)
| lhs_atom3(X5) )
& ( aInfimumOfIn0(esk7_2(X5,X6),X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom3(X5) )
& ( aSupremumOfIn0(esk8_2(X5,X6),X6,X5)
| ~ aSubsetOf0(X6,X5)
| lhs_atom3(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_28])])])])])]) ).
fof(c_0_49,plain,
! [X4,X5,X6,X7] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| lhs_atom1(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| lhs_atom1(X4) )
& ( aElementOf0(esk2_2(X4,X7),X7)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom1(X4) )
& ( ~ aElementOf0(esk2_2(X4,X7),X4)
| ~ aSet0(X7)
| aSubsetOf0(X7,X4)
| lhs_atom1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])]) ).
fof(c_0_50,plain,
! [X3,X4] :
( lhs_atom5(X3)
| ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),szRzazndt0(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_51,plain,
! [X3,X4,X5] :
( ( aElementOf0(X4,szDzozmdt0(X3))
| ~ aFixedPointOf0(X4,X3)
| lhs_atom5(X3) )
& ( sdtlpdtrp0(X3,X4) = X4
| ~ aFixedPointOf0(X4,X3)
| lhs_atom5(X3) )
& ( ~ aElementOf0(X5,szDzozmdt0(X3))
| sdtlpdtrp0(X3,X5) != X5
| aFixedPointOf0(X5,X3)
| lhs_atom5(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ( ~ isEmpty0(X3)
| ~ aElementOf0(X4,X3)
| lhs_atom1(X3) )
& ( aElementOf0(esk1_1(X3),X3)
| isEmpty0(X3)
| 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_32])])])])]) ).
fof(c_0_53,plain,
! [X3,X4] :
( lhs_atom1(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_54,plain,
! [X2] :
( lhs_atom2(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_55,plain,
! [X2] :
( lhs_atom5(X2)
| aSet0(szRzazndt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_56,plain,
! [X2] :
( lhs_atom5(X2)
| aSet0(szDzozmdt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_57,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_58,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_59,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_39]) ).
cnf(c_0_60,plain,
( lhs_atom1(X1)
| aSupremumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(X3,esk6_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_61,plain,
( lhs_atom1(X1)
| aInfimumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_62,plain,
( lhs_atom1(X1)
| aSupremumOfIn0(X3,X2,X1)
| aUpperBoundOfIn0(esk6_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_63,plain,
( lhs_atom1(X1)
| aInfimumOfIn0(X3,X2,X1)
| aLowerBoundOfIn0(esk5_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(esk4_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(X3,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| aElementOf0(esk4_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_67,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| aElementOf0(esk3_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_68,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1)
| ~ aUpperBoundOfIn0(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_69,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1)
| ~ aLowerBoundOfIn0(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_70,plain,
( lhs_atom4(X1)
| ~ aSet0(X1)
| ~ aSupremumOfIn0(X2,esk9_1(X1),X1)
| ~ aInfimumOfIn0(X3,esk9_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_71,plain,
( X1 = X2
| lhs_atom1(X4)
| ~ aInfimumOfIn0(X2,X3,X4)
| ~ aInfimumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_72,plain,
( X1 = X2
| lhs_atom1(X4)
| ~ aSupremumOfIn0(X2,X3,X4)
| ~ aSupremumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_75,plain,
( lhs_atom5(X1)
| sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ isMonotone0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_76,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| ~ sdtlseqdt0(sdtlpdtrp0(X1,esk10_1(X1)),sdtlpdtrp0(X1,esk11_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_77,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_78,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_79,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_80,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_81,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_82,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_83,plain,
( lhs_atom3(X1)
| aInfimumOfIn0(esk7_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_84,plain,
( lhs_atom3(X1)
| aSupremumOfIn0(esk8_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_85,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_86,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
| lhs_atom5(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_87,plain,
( lhs_atom5(X1)
| aFixedPointOf0(X2,X1)
| sdtlpdtrp0(X1,X2) != X2
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_88,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_89,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_90,plain,
( lhs_atom5(X1)
| aElementOf0(X2,szDzozmdt0(X1))
| ~ aFixedPointOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_91,plain,
( lhs_atom5(X1)
| sdtlpdtrp0(X1,X2) = X2
| ~ aFixedPointOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_92,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| aElementOf0(esk10_1(X1),szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_93,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| aElementOf0(esk11_1(X1),szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_94,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| sdtlseqdt0(esk10_1(X1),esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_95,plain,
( lhs_atom1(X1)
| ~ aElementOf0(X2,X1)
| ~ isEmpty0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_96,plain,
( lhs_atom4(X1)
| aSubsetOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_97,plain,
( lhs_atom1(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_98,plain,
( aElement0(X1)
| lhs_atom1(X2)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_99,plain,
( lhs_atom1(X1)
| isEmpty0(X1)
| aElementOf0(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_101,plain,
( aSet0(szRzazndt0(X1))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_102,plain,
( aSet0(szDzozmdt0(X1))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_103,plain,
( lhs_atom3(X1)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_104,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_105,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_106,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_107,plain,
( lhs_atom1(X1)
| aSupremumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(X3,esk6_3(X1,X2,X3)) ),
c_0_60,
[final] ).
cnf(c_0_108,plain,
( lhs_atom1(X1)
| aInfimumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(esk5_3(X1,X2,X3),X3) ),
c_0_61,
[final] ).
cnf(c_0_109,plain,
( lhs_atom1(X1)
| aSupremumOfIn0(X3,X2,X1)
| aUpperBoundOfIn0(esk6_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
c_0_62,
[final] ).
cnf(c_0_110,plain,
( lhs_atom1(X1)
| aInfimumOfIn0(X3,X2,X1)
| aLowerBoundOfIn0(esk5_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
c_0_63,
[final] ).
cnf(c_0_111,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(esk4_3(X1,X2,X3),X3) ),
c_0_64,
[final] ).
cnf(c_0_112,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(X3,esk3_3(X1,X2,X3)) ),
c_0_65,
[final] ).
cnf(c_0_113,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| aElementOf0(esk4_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
c_0_66,
[final] ).
cnf(c_0_114,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| aElementOf0(esk3_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
c_0_67,
[final] ).
cnf(c_0_115,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1)
| ~ aUpperBoundOfIn0(X4,X2,X1) ),
c_0_68,
[final] ).
cnf(c_0_116,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1)
| ~ aLowerBoundOfIn0(X4,X2,X1) ),
c_0_69,
[final] ).
cnf(c_0_117,plain,
( lhs_atom4(X1)
| ~ aSet0(X1)
| ~ aSupremumOfIn0(X2,esk9_1(X1),X1)
| ~ aInfimumOfIn0(X3,esk9_1(X1),X1) ),
c_0_70,
[final] ).
cnf(c_0_118,plain,
( X1 = X2
| lhs_atom1(X4)
| ~ aInfimumOfIn0(X2,X3,X4)
| ~ aInfimumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
c_0_71,
[final] ).
cnf(c_0_119,plain,
( X1 = X2
| lhs_atom1(X4)
| ~ aSupremumOfIn0(X2,X3,X4)
| ~ aSupremumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
c_0_72,
[final] ).
cnf(c_0_120,plain,
( lhs_atom1(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
c_0_73,
[final] ).
cnf(c_0_121,plain,
( lhs_atom1(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
c_0_74,
[final] ).
cnf(c_0_122,plain,
( lhs_atom5(X1)
| sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ isMonotone0(X1) ),
c_0_75,
[final] ).
cnf(c_0_123,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| ~ sdtlseqdt0(sdtlpdtrp0(X1,esk10_1(X1)),sdtlpdtrp0(X1,esk11_1(X1))) ),
c_0_76,
[final] ).
cnf(c_0_124,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
c_0_77,
[final] ).
cnf(c_0_125,plain,
( lhs_atom1(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
c_0_78,
[final] ).
cnf(c_0_126,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
c_0_79,
[final] ).
cnf(c_0_127,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
c_0_80,
[final] ).
cnf(c_0_128,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
c_0_81,
[final] ).
cnf(c_0_129,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
c_0_82,
[final] ).
cnf(c_0_130,plain,
( lhs_atom3(X1)
| aInfimumOfIn0(esk7_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
c_0_83,
[final] ).
cnf(c_0_131,plain,
( lhs_atom3(X1)
| aSupremumOfIn0(esk8_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
c_0_84,
[final] ).
cnf(c_0_132,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
c_0_85,
[final] ).
cnf(c_0_133,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
| lhs_atom5(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
c_0_86,
[final] ).
cnf(c_0_134,plain,
( lhs_atom5(X1)
| aFixedPointOf0(X2,X1)
| sdtlpdtrp0(X1,X2) != X2
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
c_0_87,
[final] ).
cnf(c_0_135,plain,
( lhs_atom1(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
c_0_88,
[final] ).
cnf(c_0_136,plain,
( lhs_atom1(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
c_0_89,
[final] ).
cnf(c_0_137,plain,
( lhs_atom5(X1)
| aElementOf0(X2,szDzozmdt0(X1))
| ~ aFixedPointOf0(X2,X1) ),
c_0_90,
[final] ).
cnf(c_0_138,plain,
( lhs_atom5(X1)
| sdtlpdtrp0(X1,X2) = X2
| ~ aFixedPointOf0(X2,X1) ),
c_0_91,
[final] ).
cnf(c_0_139,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| aElementOf0(esk10_1(X1),szDzozmdt0(X1)) ),
c_0_92,
[final] ).
cnf(c_0_140,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| aElementOf0(esk11_1(X1),szDzozmdt0(X1)) ),
c_0_93,
[final] ).
cnf(c_0_141,plain,
( lhs_atom5(X1)
| isMonotone0(X1)
| sdtlseqdt0(esk10_1(X1),esk11_1(X1)) ),
c_0_94,
[final] ).
cnf(c_0_142,plain,
( lhs_atom1(X1)
| ~ aElementOf0(X2,X1)
| ~ isEmpty0(X1) ),
c_0_95,
[final] ).
cnf(c_0_143,plain,
( lhs_atom4(X1)
| aSubsetOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
c_0_96,
[final] ).
cnf(c_0_144,plain,
( lhs_atom1(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
c_0_97,
[final] ).
cnf(c_0_145,plain,
( aElement0(X1)
| lhs_atom1(X2)
| ~ aElementOf0(X1,X2) ),
c_0_98,
[final] ).
cnf(c_0_146,plain,
( lhs_atom1(X1)
| isEmpty0(X1)
| aElementOf0(esk1_1(X1),X1) ),
c_0_99,
[final] ).
cnf(c_0_147,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom2(X1) ),
c_0_100,
[final] ).
cnf(c_0_148,plain,
( aSet0(szRzazndt0(X1))
| lhs_atom5(X1) ),
c_0_101,
[final] ).
cnf(c_0_149,plain,
( aSet0(szDzozmdt0(X1))
| lhs_atom5(X1) ),
c_0_102,
[final] ).
cnf(c_0_150,plain,
( lhs_atom3(X1)
| aSet0(X1) ),
c_0_103,
[final] ).
cnf(c_0_151,plain,
$true,
c_0_104,
[final] ).
cnf(c_0_152,plain,
$true,
c_0_105,
[final] ).
cnf(c_0_153,plain,
$true,
c_0_106,
[final] ).
% End CNF derivation
cnf(c_0_107_0,axiom,
( ~ aSet0(X1)
| aSupremumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(X3,sk1_esk6_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_107,def_lhs_atom1]) ).
cnf(c_0_108_0,axiom,
( ~ aSet0(X1)
| aInfimumOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ sdtlseqdt0(sk1_esk5_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_108,def_lhs_atom1]) ).
cnf(c_0_109_0,axiom,
( ~ aSet0(X1)
| aSupremumOfIn0(X3,X2,X1)
| aUpperBoundOfIn0(sk1_esk6_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_109,def_lhs_atom1]) ).
cnf(c_0_110_0,axiom,
( ~ aSet0(X1)
| aInfimumOfIn0(X3,X2,X1)
| aLowerBoundOfIn0(sk1_esk5_3(X1,X2,X3),X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom1]) ).
cnf(c_0_111_0,axiom,
( ~ aSet0(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(sk1_esk4_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_111,def_lhs_atom1]) ).
cnf(c_0_112_0,axiom,
( ~ aSet0(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1)
| ~ sdtlseqdt0(X3,sk1_esk3_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_112,def_lhs_atom1]) ).
cnf(c_0_113_0,axiom,
( ~ aSet0(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| aElementOf0(sk1_esk4_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_113,def_lhs_atom1]) ).
cnf(c_0_114_0,axiom,
( ~ aSet0(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| aElementOf0(sk1_esk3_3(X1,X2,X3),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_114,def_lhs_atom1]) ).
cnf(c_0_115_0,axiom,
( ~ aSet0(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1)
| ~ aUpperBoundOfIn0(X4,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_115,def_lhs_atom1]) ).
cnf(c_0_116_0,axiom,
( ~ aSet0(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1)
| ~ aLowerBoundOfIn0(X4,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_116,def_lhs_atom1]) ).
cnf(c_0_117_0,axiom,
( aCompleteLattice0(X1)
| ~ aSet0(X1)
| ~ aSupremumOfIn0(X2,sk1_esk9_1(X1),X1)
| ~ aInfimumOfIn0(X3,sk1_esk9_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom4]) ).
cnf(c_0_118_0,axiom,
( ~ aSet0(X4)
| X1 = X2
| ~ aInfimumOfIn0(X2,X3,X4)
| ~ aInfimumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom1]) ).
cnf(c_0_119_0,axiom,
( ~ aSet0(X4)
| X1 = X2
| ~ aSupremumOfIn0(X2,X3,X4)
| ~ aSupremumOfIn0(X1,X3,X4)
| ~ aSubsetOf0(X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom1]) ).
cnf(c_0_120_0,axiom,
( ~ aSet0(X1)
| aUpperBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom1]) ).
cnf(c_0_121_0,axiom,
( ~ aSet0(X1)
| aLowerBoundOfIn0(X3,X2,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom1]) ).
cnf(c_0_122_0,axiom,
( ~ aFunction0(X1)
| sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ isMonotone0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom5]) ).
cnf(c_0_123_0,axiom,
( ~ aFunction0(X1)
| isMonotone0(X1)
| ~ sdtlseqdt0(sdtlpdtrp0(X1,sk1_esk10_1(X1)),sdtlpdtrp0(X1,sk1_esk11_1(X1))) ),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom5]) ).
cnf(c_0_124_0,axiom,
( ~ aSet0(X1)
| sdtlseqdt0(X4,X3)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom1]) ).
cnf(c_0_125_0,axiom,
( ~ aSet0(X1)
| sdtlseqdt0(X3,X4)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1)
| ~ aElementOf0(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom1]) ).
cnf(c_0_126_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSupremumOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom1]) ).
cnf(c_0_127_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aInfimumOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom1]) ).
cnf(c_0_128_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aUpperBoundOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom1]) ).
cnf(c_0_129_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aLowerBoundOfIn0(X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom1]) ).
cnf(c_0_130_0,axiom,
( ~ aCompleteLattice0(X1)
| aInfimumOfIn0(sk1_esk7_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom3]) ).
cnf(c_0_131_0,axiom,
( ~ aCompleteLattice0(X1)
| aSupremumOfIn0(sk1_esk8_2(X1,X2),X2,X1)
| ~ aSubsetOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom3]) ).
cnf(c_0_132_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk2_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom1]) ).
cnf(c_0_133_0,axiom,
( ~ aFunction0(X1)
| aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom5]) ).
cnf(c_0_134_0,axiom,
( ~ aFunction0(X1)
| aFixedPointOf0(X2,X1)
| sdtlpdtrp0(X1,X2) != X2
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom5]) ).
cnf(c_0_135_0,axiom,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| aElementOf0(sk1_esk2_2(X1,X2),X2)
| ~ aSet0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom1]) ).
cnf(c_0_136_0,axiom,
( ~ aSet0(X1)
| aElementOf0(X3,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom1]) ).
cnf(c_0_137_0,axiom,
( ~ aFunction0(X1)
| aElementOf0(X2,szDzozmdt0(X1))
| ~ aFixedPointOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom5]) ).
cnf(c_0_138_0,axiom,
( ~ aFunction0(X1)
| sdtlpdtrp0(X1,X2) = X2
| ~ aFixedPointOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom5]) ).
cnf(c_0_139_0,axiom,
( ~ aFunction0(X1)
| isMonotone0(X1)
| aElementOf0(sk1_esk10_1(X1),szDzozmdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom5]) ).
cnf(c_0_140_0,axiom,
( ~ aFunction0(X1)
| isMonotone0(X1)
| aElementOf0(sk1_esk11_1(X1),szDzozmdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom5]) ).
cnf(c_0_141_0,axiom,
( ~ aFunction0(X1)
| isMonotone0(X1)
| sdtlseqdt0(sk1_esk10_1(X1),sk1_esk11_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom5]) ).
cnf(c_0_142_0,axiom,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isEmpty0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom1]) ).
cnf(c_0_143_0,axiom,
( aCompleteLattice0(X1)
| aSubsetOf0(sk1_esk9_1(X1),X1)
| ~ aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom4]) ).
cnf(c_0_144_0,axiom,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom1]) ).
cnf(c_0_145_0,axiom,
( ~ aSet0(X2)
| aElement0(X1)
| ~ aElementOf0(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom1]) ).
cnf(c_0_146_0,axiom,
( ~ aSet0(X1)
| isEmpty0(X1)
| aElementOf0(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom1]) ).
cnf(c_0_147_0,axiom,
( ~ aElement0(X1)
| sdtlseqdt0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom2]) ).
cnf(c_0_148_0,axiom,
( ~ aFunction0(X1)
| aSet0(szRzazndt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom5]) ).
cnf(c_0_149_0,axiom,
( ~ aFunction0(X1)
| aSet0(szDzozmdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom5]) ).
cnf(c_0_150_0,axiom,
( ~ aCompleteLattice0(X1)
| aSet0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom3]) ).
cnf(c_0_151_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_151,def_true]) ).
cnf(c_0_152_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_152,def_true]) ).
cnf(c_0_153_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_153,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('<stdin>',mTrans) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mASymm) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aSet0(X2) )
=> ( isOn0(X1,X2)
<=> ( szDzozmdt0(X1) = szRzazndt0(X1)
& szRzazndt0(X1) = X2 ) ) ),
file('<stdin>',mDefDom) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> $true ) ),
file('<stdin>',mLessRel) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_0 ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_1 ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aSet0(X2) )
=> ( isOn0(X1,X2)
<=> ( szDzozmdt0(X1) = szRzazndt0(X1)
& szRzazndt0(X1) = X2 ) ) ),
c_0_2 ).
fof(c_0_7_008,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8_009,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_9_010,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_10_011,plain,
! [X3,X4] :
( ( szDzozmdt0(X3) = szRzazndt0(X3)
| ~ isOn0(X3,X4)
| ~ aFunction0(X3)
| ~ aSet0(X4) )
& ( szRzazndt0(X3) = X4
| ~ isOn0(X3,X4)
| ~ aFunction0(X3)
| ~ aSet0(X4) )
& ( szDzozmdt0(X3) != szRzazndt0(X3)
| szRzazndt0(X3) != X4
| isOn0(X3,X4)
| ~ aFunction0(X3)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_11_012,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_12_013,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_014,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_015,plain,
( isOn0(X2,X1)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| szRzazndt0(X2) != X1
| szDzozmdt0(X2) != szRzazndt0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_016,plain,
( szDzozmdt0(X2) = szRzazndt0(X2)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_017,plain,
( szRzazndt0(X2) = X1
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17_018,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18_019,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
c_0_12,
[final] ).
cnf(c_0_19_020,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_13,
[final] ).
cnf(c_0_20_021,plain,
( isOn0(X2,X1)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| szRzazndt0(X2) != X1
| szDzozmdt0(X2) != szRzazndt0(X2) ),
c_0_14,
[final] ).
cnf(c_0_21_022,plain,
( szDzozmdt0(X2) = szRzazndt0(X2)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
c_0_15,
[final] ).
cnf(c_0_22_023,plain,
( szRzazndt0(X2) = X1
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
c_0_16,
[final] ).
cnf(c_0_23_024,plain,
$true,
c_0_17,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_18_0,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_1,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_3,axiom,
( ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_4,axiom,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_5,axiom,
( ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_19_0,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_1,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_3,axiom,
( ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_4,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_20_0,axiom,
( isOn0(X2,X1)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| szRzazndt0(X2) != X1
| szDzozmdt0(X2) != szRzazndt0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_1,axiom,
( ~ aSet0(X1)
| isOn0(X2,X1)
| ~ aFunction0(X2)
| szRzazndt0(X2) != X1
| szDzozmdt0(X2) != szRzazndt0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_2,axiom,
( ~ aFunction0(X2)
| ~ aSet0(X1)
| isOn0(X2,X1)
| szRzazndt0(X2) != X1
| szDzozmdt0(X2) != szRzazndt0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_3,axiom,
( szRzazndt0(X2) != X1
| ~ aFunction0(X2)
| ~ aSet0(X1)
| isOn0(X2,X1)
| szDzozmdt0(X2) != szRzazndt0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_4,axiom,
( szDzozmdt0(X2) != szRzazndt0(X2)
| szRzazndt0(X2) != X1
| ~ aFunction0(X2)
| ~ aSet0(X1)
| isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_21_0,axiom,
( szDzozmdt0(X2) = szRzazndt0(X2)
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_1,axiom,
( ~ aSet0(X1)
| szDzozmdt0(X2) = szRzazndt0(X2)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_2,axiom,
( ~ aFunction0(X2)
| ~ aSet0(X1)
| szDzozmdt0(X2) = szRzazndt0(X2)
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_3,axiom,
( ~ isOn0(X2,X1)
| ~ aFunction0(X2)
| ~ aSet0(X1)
| szDzozmdt0(X2) = szRzazndt0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_22_0,axiom,
( szRzazndt0(X2) = X1
| ~ aSet0(X1)
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_1,axiom,
( ~ aSet0(X1)
| szRzazndt0(X2) = X1
| ~ aFunction0(X2)
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_2,axiom,
( ~ aFunction0(X2)
| ~ aSet0(X1)
| szRzazndt0(X2) = X1
| ~ isOn0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_3,axiom,
( ~ isOn0(X2,X1)
| ~ aFunction0(X2)
| ~ aSet0(X1)
| szRzazndt0(X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_23_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_23]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_025,conjecture,
? [X1] : aSupremumOfIn0(X1,xT,xS),
file('<stdin>',m__) ).
fof(c_0_1_026,hypothesis,
( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
file('<stdin>',m__1299) ).
fof(c_0_2_027,hypothesis,
( aFixedPointOf0(xp,xf)
& aSupremumOfIn0(xp,xT,xS) ),
file('<stdin>',m__1330) ).
fof(c_0_3_028,hypothesis,
aInfimumOfIn0(xp,xP,xU),
file('<stdin>',m__1261) ).
fof(c_0_4_029,hypothesis,
xP = cS1241(xU,xf,xT),
file('<stdin>',m__1244) ).
fof(c_0_5_030,hypothesis,
aSubsetOf0(xT,xS),
file('<stdin>',m__1173) ).
fof(c_0_6_031,hypothesis,
( aCompleteLattice0(xU)
& aFunction0(xf)
& isMonotone0(xf)
& isOn0(xf,xU) ),
file('<stdin>',m__1123) ).
fof(c_0_7_032,hypothesis,
xS = cS1142(xf),
file('<stdin>',m__1144) ).
fof(c_0_8_033,negated_conjecture,
~ ? [X1] : aSupremumOfIn0(X1,xT,xS),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_9_034,hypothesis,
( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
c_0_1 ).
fof(c_0_10_035,hypothesis,
( aFixedPointOf0(xp,xf)
& aSupremumOfIn0(xp,xT,xS) ),
c_0_2 ).
fof(c_0_11_036,hypothesis,
aInfimumOfIn0(xp,xP,xU),
c_0_3 ).
fof(c_0_12_037,hypothesis,
xP = cS1241(xU,xf,xT),
c_0_4 ).
fof(c_0_13_038,hypothesis,
aSubsetOf0(xT,xS),
c_0_5 ).
fof(c_0_14_039,hypothesis,
( aCompleteLattice0(xU)
& aFunction0(xf)
& isMonotone0(xf)
& isOn0(xf,xU) ),
c_0_6 ).
fof(c_0_15_040,hypothesis,
xS = cS1142(xf),
c_0_7 ).
fof(c_0_16_041,negated_conjecture,
! [X2] : ~ aSupremumOfIn0(X2,xT,xS),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_17_042,hypothesis,
( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
c_0_9 ).
fof(c_0_18_043,hypothesis,
( aFixedPointOf0(xp,xf)
& aSupremumOfIn0(xp,xT,xS) ),
c_0_10 ).
fof(c_0_19_044,hypothesis,
aInfimumOfIn0(xp,xP,xU),
c_0_11 ).
fof(c_0_20_045,hypothesis,
xP = cS1241(xU,xf,xT),
c_0_12 ).
fof(c_0_21_046,hypothesis,
aSubsetOf0(xT,xS),
c_0_13 ).
fof(c_0_22_047,hypothesis,
( aCompleteLattice0(xU)
& aFunction0(xf)
& isMonotone0(xf)
& isOn0(xf,xU) ),
c_0_14 ).
fof(c_0_23_048,hypothesis,
xS = cS1142(xf),
c_0_15 ).
cnf(c_0_24_049,negated_conjecture,
~ aSupremumOfIn0(X1,xT,xS),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25_050,hypothesis,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26_051,hypothesis,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27_052,hypothesis,
aSupremumOfIn0(xp,xT,xS),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_053,hypothesis,
aInfimumOfIn0(xp,xP,xU),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29_054,hypothesis,
xP = cS1241(xU,xf,xT),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30_055,hypothesis,
aFixedPointOf0(xp,xf),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31_056,hypothesis,
aSubsetOf0(xT,xS),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32_057,hypothesis,
isOn0(xf,xU),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33_058,hypothesis,
xS = cS1142(xf),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34_059,hypothesis,
aCompleteLattice0(xU),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35_060,hypothesis,
aFunction0(xf),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36_061,hypothesis,
isMonotone0(xf),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37_062,negated_conjecture,
~ aSupremumOfIn0(X1,xT,xS),
c_0_24,
[final] ).
cnf(c_0_38_063,hypothesis,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
c_0_25,
[final] ).
cnf(c_0_39_064,hypothesis,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
c_0_26,
[final] ).
cnf(c_0_40_065,hypothesis,
aSupremumOfIn0(xp,xT,xS),
c_0_27,
[final] ).
cnf(c_0_41_066,hypothesis,
aInfimumOfIn0(xp,xP,xU),
c_0_28,
[final] ).
cnf(c_0_42_067,hypothesis,
cS1241(xU,xf,xT) = xP,
c_0_29,
[final] ).
cnf(c_0_43_068,hypothesis,
aFixedPointOf0(xp,xf),
c_0_30,
[final] ).
cnf(c_0_44_069,hypothesis,
aSubsetOf0(xT,xS),
c_0_31,
[final] ).
cnf(c_0_45_070,hypothesis,
isOn0(xf,xU),
c_0_32,
[final] ).
cnf(c_0_46_071,hypothesis,
cS1142(xf) = xS,
c_0_33,
[final] ).
cnf(c_0_47_072,hypothesis,
aCompleteLattice0(xU),
c_0_34,
[final] ).
cnf(c_0_48_073,hypothesis,
aFunction0(xf),
c_0_35,
[final] ).
cnf(c_0_49_074,hypothesis,
isMonotone0(xf),
c_0_36,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_75,plain,
aSupremumOfIn0(xp,xT,xS),
file('/export/starexec/sandbox/tmp/iprover_modulo_1803e3.p',c_0_40) ).
cnf(c_132,plain,
aSupremumOfIn0(xp,xT,xS),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_159,plain,
aSupremumOfIn0(xp,xT,xS),
inference(copy,[status(esa)],[c_132]) ).
cnf(c_178,plain,
aSupremumOfIn0(xp,xT,xS),
inference(copy,[status(esa)],[c_159]) ).
cnf(c_183,plain,
aSupremumOfIn0(xp,xT,xS),
inference(copy,[status(esa)],[c_178]) ).
cnf(c_408,plain,
aSupremumOfIn0(xp,xT,xS),
inference(copy,[status(esa)],[c_183]) ).
cnf(c_72,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
file('/export/starexec/sandbox/tmp/iprover_modulo_1803e3.p',c_0_37) ).
cnf(c_152,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_156,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
inference(copy,[status(esa)],[c_152]) ).
cnf(c_181,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
inference(copy,[status(esa)],[c_156]) ).
cnf(c_182,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
inference(copy,[status(esa)],[c_181]) ).
cnf(c_406,negated_conjecture,
~ aSupremumOfIn0(X0,xT,xS),
inference(copy,[status(esa)],[c_182]) ).
cnf(c_417,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_408,c_406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 22:41:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.18/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.40 % FOF problem with conjecture
% 0.18/0.40 % 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_5ee8be.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1803e3.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_68a854 | grep -v "SZS"
% 0.18/0.42
% 0.18/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42 % ------ iProver source info
% 0.18/0.42
% 0.18/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.42 % git: non_committed_changes: true
% 0.18/0.42 % git: last_make_outside_of_git: true
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42 % ------ Input Options
% 0.18/0.42
% 0.18/0.42 % --out_options all
% 0.18/0.42 % --tptp_safe_out true
% 0.18/0.42 % --problem_path ""
% 0.18/0.42 % --include_path ""
% 0.18/0.42 % --clausifier .//eprover
% 0.18/0.42 % --clausifier_options --tstp-format
% 0.18/0.42 % --stdin false
% 0.18/0.42 % --dbg_backtrace false
% 0.18/0.42 % --dbg_dump_prop_clauses false
% 0.18/0.42 % --dbg_dump_prop_clauses_file -
% 0.18/0.42 % --dbg_out_stat false
% 0.18/0.42
% 0.18/0.42 % ------ General Options
% 0.18/0.42
% 0.18/0.42 % --fof false
% 0.18/0.42 % --time_out_real 150.
% 0.18/0.42 % --time_out_prep_mult 0.2
% 0.18/0.42 % --time_out_virtual -1.
% 0.18/0.42 % --schedule none
% 0.18/0.42 % --ground_splitting input
% 0.18/0.42 % --splitting_nvd 16
% 0.18/0.42 % --non_eq_to_eq false
% 0.18/0.42 % --prep_gs_sim true
% 0.18/0.42 % --prep_unflatten false
% 0.18/0.42 % --prep_res_sim true
% 0.18/0.42 % --prep_upred true
% 0.18/0.42 % --res_sim_input true
% 0.18/0.42 % --clause_weak_htbl true
% 0.18/0.42 % --gc_record_bc_elim false
% 0.18/0.42 % --symbol_type_check false
% 0.18/0.42 % --clausify_out false
% 0.18/0.42 % --large_theory_mode false
% 0.18/0.42 % --prep_sem_filter none
% 0.18/0.42 % --prep_sem_filter_out false
% 0.18/0.42 % --preprocessed_out false
% 0.18/0.42 % --sub_typing false
% 0.18/0.42 % --brand_transform false
% 0.18/0.42 % --pure_diseq_elim true
% 0.18/0.42 % --min_unsat_core false
% 0.18/0.42 % --pred_elim true
% 0.18/0.42 % --add_important_lit false
% 0.18/0.42 % --soft_assumptions false
% 0.18/0.42 % --reset_solvers false
% 0.18/0.42 % --bc_imp_inh []
% 0.18/0.42 % --conj_cone_tolerance 1.5
% 0.18/0.42 % --prolific_symb_bound 500
% 0.18/0.42 % --lt_threshold 2000
% 0.18/0.42
% 0.18/0.42 % ------ SAT Options
% 0.18/0.42
% 0.18/0.42 % --sat_mode false
% 0.18/0.42 % --sat_fm_restart_options ""
% 0.18/0.42 % --sat_gr_def false
% 0.18/0.42 % --sat_epr_types true
% 0.18/0.42 % --sat_non_cyclic_types false
% 0.18/0.42 % --sat_finite_models false
% 0.18/0.42 % --sat_fm_lemmas false
% 0.18/0.42 % --sat_fm_prep false
% 0.18/0.42 % --sat_fm_uc_incr true
% 0.18/0.42 % --sat_out_model small
% 0.18/0.42 % --sat_out_clauses false
% 0.18/0.42
% 0.18/0.42 % ------ QBF Options
% 0.18/0.42
% 0.18/0.42 % --qbf_mode false
% 0.18/0.42 % --qbf_elim_univ true
% 0.18/0.42 % --qbf_sk_in true
% 0.18/0.42 % --qbf_pred_elim true
% 0.18/0.42 % --qbf_split 32
% 0.18/0.42
% 0.18/0.42 % ------ BMC1 Options
% 0.18/0.42
% 0.18/0.42 % --bmc1_incremental false
% 0.18/0.42 % --bmc1_axioms reachable_all
% 0.18/0.42 % --bmc1_min_bound 0
% 0.18/0.42 % --bmc1_max_bound -1
% 0.18/0.42 % --bmc1_max_bound_default -1
% 0.18/0.42 % --bmc1_symbol_reachability true
% 0.18/0.42 % --bmc1_property_lemmas false
% 0.18/0.42 % --bmc1_k_induction false
% 0.18/0.42 % --bmc1_non_equiv_states false
% 0.18/0.42 % --bmc1_deadlock false
% 0.18/0.42 % --bmc1_ucm false
% 0.18/0.42 % --bmc1_add_unsat_core none
% 0.18/0.42 % --bmc1_unsat_core_children false
% 0.18/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.42 % --bmc1_out_stat full
% 0.18/0.42 % --bmc1_ground_init false
% 0.18/0.42 % --bmc1_pre_inst_next_state false
% 0.18/0.42 % --bmc1_pre_inst_state false
% 0.18/0.42 % --bmc1_pre_inst_reach_state false
% 0.18/0.42 % --bmc1_out_unsat_core false
% 0.18/0.42 % --bmc1_aig_witness_out false
% 0.18/0.42 % --bmc1_verbose false
% 0.18/0.42 % --bmc1_dump_clauses_tptp false
% 0.18/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.43 % --bmc1_dump_file -
% 0.18/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.43 % --bmc1_ucm_extend_mode 1
% 0.18/0.43 % --bmc1_ucm_init_mode 2
% 0.18/0.43 % --bmc1_ucm_cone_mode none
% 0.18/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.43 % --bmc1_ucm_relax_model 4
% 0.18/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.43 % --bmc1_ucm_layered_model none
% 0.18/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.43
% 0.18/0.43 % ------ AIG Options
% 0.18/0.43
% 0.18/0.43 % --aig_mode false
% 0.18/0.43
% 0.18/0.43 % ------ Instantiation Options
% 0.18/0.43
% 0.18/0.43 % --instantiation_flag true
% 0.18/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.43 % --inst_solver_per_active 750
% 0.18/0.43 % --inst_solver_calls_frac 0.5
% 0.18/0.43 % --inst_passive_queue_type priority_queues
% 0.18/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.43 % --inst_passive_queues_freq [25;2]
% 0.18/0.43 % --inst_dismatching true
% 0.18/0.43 % --inst_eager_unprocessed_to_passive true
% 0.18/0.43 % --inst_prop_sim_given true
% 0.18/0.43 % --inst_prop_sim_new false
% 0.18/0.43 % --inst_orphan_elimination true
% 0.18/0.43 % --inst_learning_loop_flag true
% 0.18/0.43 % --inst_learning_start 3000
% 0.18/0.43 % --inst_learning_factor 2
% 0.18/0.43 % --inst_start_prop_sim_after_learn 3
% 0.18/0.43 % --inst_sel_renew solver
% 0.18/0.43 % --inst_lit_activity_flag true
% 0.18/0.43 % --inst_out_proof true
% 0.18/0.43
% 0.18/0.43 % ------ Resolution Options
% 0.18/0.43
% 0.18/0.43 % --resolution_flag true
% 0.18/0.43 % --res_lit_sel kbo_max
% 0.18/0.43 % --res_to_prop_solver none
% 0.18/0.43 % --res_prop_simpl_new false
% 0.18/0.43 % --res_prop_simpl_given false
% 0.18/0.43 % --res_passive_queue_type priority_queues
% 0.18/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.43 % --res_passive_queues_freq [15;5]
% 0.18/0.43 % --res_forward_subs full
% 0.18/0.43 % --res_backward_subs full
% 0.18/0.43 % --res_forward_subs_resolution true
% 0.18/0.43 % --res_backward_subs_resolution true
% 0.18/0.43 % --res_orphan_elimination false
% 0.18/0.43 % --res_time_limit 1000.
% 0.18/0.43 % --res_out_proof true
% 0.18/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5ee8be.s
% 0.18/0.43 % --modulo true
% 0.18/0.43
% 0.18/0.43 % ------ Combination Options
% 0.18/0.43
% 0.18/0.43 % --comb_res_mult 1000
% 0.18/0.43 % --comb_inst_mult 300
% 0.18/0.43 % ------
% 0.18/0.43
% 0.18/0.43 % ------ Parsing...% successful
% 0.18/0.43
% 0.18/0.43 % ------ Preprocessing... gs_s sp: 0 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_e snvd_s sp: 0 0s snvd_e %
% 0.18/0.43
% 0.18/0.43 % ------ Proving...
% 0.18/0.43 % ------ Problem Properties
% 0.18/0.43
% 0.18/0.43 %
% 0.18/0.43 % EPR false
% 0.18/0.43 % Horn false
% 0.18/0.43 % Has equality true
% 0.18/0.43
% 0.18/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % % ------ Current options:
% 0.18/0.43
% 0.18/0.43 % ------ Input Options
% 0.18/0.43
% 0.18/0.43 % --out_options all
% 0.18/0.43 % --tptp_safe_out true
% 0.18/0.43 % --problem_path ""
% 0.18/0.43 % --include_path ""
% 0.18/0.43 % --clausifier .//eprover
% 0.18/0.43 % --clausifier_options --tstp-format
% 0.18/0.43 % --stdin false
% 0.18/0.43 % --dbg_backtrace false
% 0.18/0.43 % --dbg_dump_prop_clauses false
% 0.18/0.43 % --dbg_dump_prop_clauses_file -
% 0.18/0.43 % --dbg_out_stat false
% 0.18/0.43
% 0.18/0.43 % ------ General Options
% 0.18/0.43
% 0.18/0.43 % --fof false
% 0.18/0.43 % --time_out_real 150.
% 0.18/0.43 % --time_out_prep_mult 0.2
% 0.18/0.43 % --time_out_virtual -1.
% 0.18/0.43 % --schedule none
% 0.18/0.43 % --ground_splitting input
% 0.18/0.43 % --splitting_nvd 16
% 0.18/0.43 % --non_eq_to_eq false
% 0.18/0.43 % --prep_gs_sim true
% 0.18/0.43 % --prep_unflatten false
% 0.18/0.43 % --prep_res_sim true
% 0.18/0.43 % --prep_upred true
% 0.18/0.43 % --res_sim_input true
% 0.18/0.43 % --clause_weak_htbl true
% 0.18/0.43 % --gc_record_bc_elim false
% 0.18/0.43 % --symbol_type_check false
% 0.18/0.43 % --clausify_out false
% 0.18/0.43 % --large_theory_mode false
% 0.18/0.43 % --prep_sem_filter none
% 0.18/0.43 % --prep_sem_filter_out false
% 0.18/0.43 % --preprocessed_out false
% 0.18/0.43 % --sub_typing false
% 0.18/0.43 % --brand_transform false
% 0.18/0.43 % --pure_diseq_elim true
% 0.18/0.43 % --min_unsat_core false
% 0.18/0.43 % --pred_elim true
% 0.18/0.43 % --add_important_lit false
% 0.18/0.43 % --soft_assumptions false
% 0.18/0.43 % --reset_solvers false
% 0.18/0.43 % --bc_imp_inh []
% 0.18/0.43 % --conj_cone_tolerance 1.5
% 0.18/0.43 % --prolific_symb_bound 500
% 0.18/0.43 % --lt_threshold 2000
% 0.18/0.43
% 0.18/0.43 % ------ SAT Options
% 0.18/0.43
% 0.18/0.43 % --sat_mode false
% 0.18/0.43 % --sat_fm_restart_options ""
% 0.18/0.43 % --sat_gr_def false
% 0.18/0.43 % --sat_epr_types true
% 0.18/0.43 % --sat_non_cyclic_types false
% 0.18/0.43 % --sat_finite_models false
% 0.18/0.43 % --sat_fm_lemmas false
% 0.18/0.43 % --sat_fm_prep false
% 0.18/0.43 % --sat_fm_uc_incr true
% 0.18/0.43 % --sat_out_model small
% 0.18/0.43 % --sat_out_clauses false
% 0.18/0.43
% 0.18/0.43 % ------ QBF Options
% 0.18/0.43
% 0.18/0.43 % --qbf_mode false
% 0.18/0.43 % --qbf_elim_univ true
% 0.18/0.43 % --qbf_sk_in true
% 0.18/0.43 % --qbf_pred_elim true
% 0.18/0.43 % --qbf_split 32
% 0.18/0.43
% 0.18/0.43 % ------ BMC1 Options
% 0.18/0.43
% 0.18/0.43 % --bmc1_incremental false
% 0.18/0.43 % --bmc1_axioms reachable_all
% 0.18/0.43 % --bmc1_min_bound 0
% 0.18/0.43 % --bmc1_max_bound -1
% 0.18/0.43 % --bmc1_max_bound_default -1
% 0.18/0.43 % --bmc1_symbol_reachability true
% 0.18/0.43 % --bmc1_property_lemmas false
% 0.18/0.43 % --bmc1_k_induction false
% 0.18/0.43 % --bmc1_non_equiv_states false
% 0.18/0.43 % --bmc1_deadlock false
% 0.18/0.43 % --bmc1_ucm false
% 0.18/0.43 % --bmc1_add_unsat_core none
% 0.18/0.43 % --bmc1_unsat_core_children false
% 0.18/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.43 % --bmc1_out_stat full
% 0.18/0.43 % --bmc1_ground_init false
% 0.18/0.43 % --bmc1_pre_inst_next_state false
% 0.18/0.43 % --bmc1_pre_inst_state false
% 0.18/0.43 % --bmc1_pre_inst_reach_state false
% 0.18/0.43 % --bmc1_out_unsat_core false
% 0.18/0.43 % --bmc1_aig_witness_out false
% 0.18/0.43 % --bmc1_verbose false
% 0.18/0.43 % --bmc1_dump_clauses_tptp false
% 0.18/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.43 % --bmc1_dump_file -
% 0.18/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.43 % --bmc1_ucm_extend_mode 1
% 0.18/0.43 % --bmc1_ucm_init_mode 2
% 0.18/0.43 % --bmc1_ucm_cone_mode none
% 0.18/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.43 % --bmc1_ucm_relax_model 4
% 0.18/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.43 % --bmc1_ucm_layered_model none
% 0.18/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.43
% 0.18/0.43 % ------ AIG Options
% 0.18/0.43
% 0.18/0.43 % --aig_mode false
% 0.18/0.43
% 0.18/0.43 % ------ Instantiation Options
% 0.18/0.43
% 0.18/0.43 % --instantiation_flag true
% 0.18/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.43 % --inst_solver_per_active 750
% 0.18/0.43 % --inst_solver_calls_frac 0.5
% 0.18/0.43 % --inst_passive_queue_type priority_queues
% 0.18/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.43 % --inst_passive_queues_freq [25;2]
% 0.18/0.43 % --inst_dismatching true
% 0.18/0.43 % --inst_eager_unprocessed_to_passive true
% 0.18/0.43 % --inst_prop_sim_given true
% 0.18/0.43 % --inst_prop_sim_new false
% 0.18/0.43 % --inst_orphan_elimination true
% 0.18/0.43 % --inst_learning_loop_flag true
% 0.18/0.43 % --inst_learning_start 3000
% 0.18/0.43 % --inst_learning_factor 2
% 0.18/0.43 % --inst_start_prop_sim_after_learn 3
% 0.18/0.43 % --inst_sel_renew solver
% 0.18/0.43 % --inst_lit_activity_flag true
% 0.18/0.43 % --inst_out_proof true
% 0.18/0.43
% 0.18/0.43 % ------ Resolution Options
% 0.18/0.43
% 0.18/0.43 % --resolution_flag true
% 0.18/0.43 % --res_lit_sel kbo_max
% 0.18/0.43 % --res_to_prop_solver none
% 0.18/0.43 % --res_prop_simpl_new false
% 0.18/0.43 % --res_prop_simpl_given false
% 0.18/0.43 % --res_passive_queue_type priority_queues
% 0.18/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.43 % --res_passive_queues_freq [15;5]
% 0.18/0.43 % --res_forward_subs full
% 0.18/0.43 % --res_backward_subs full
% 0.18/0.43 % --res_forward_subs_resolution true
% 0.18/0.43 % --res_backward_subs_resolution true
% 0.18/0.43 % --res_orphan_elimination false
% 0.18/0.43 % --res_time_limit 1000.
% 0.18/0.43 % --res_out_proof true
% 0.18/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5ee8be.s
% 0.18/0.43 % --modulo true
% 0.18/0.43
% 0.18/0.43 % ------ Combination Options
% 0.18/0.43
% 0.18/0.43 % --comb_res_mult 1000
% 0.18/0.43 % --comb_inst_mult 300
% 0.18/0.43 % ------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % ------ Proving...
% 0.18/0.43 %
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % Resolution empty clause
% 0.18/0.43
% 0.18/0.43 % ------ Statistics
% 0.18/0.43
% 0.18/0.43 % ------ General
% 0.18/0.43
% 0.18/0.43 % num_of_input_clauses: 85
% 0.18/0.43 % num_of_input_neg_conjectures: 1
% 0.18/0.43 % num_of_splits: 0
% 0.18/0.43 % num_of_split_atoms: 0
% 0.18/0.43 % num_of_sem_filtered_clauses: 0
% 0.18/0.43 % num_of_subtypes: 0
% 0.18/0.43 % monotx_restored_types: 0
% 0.18/0.43 % sat_num_of_epr_types: 0
% 0.18/0.43 % sat_num_of_non_cyclic_types: 0
% 0.18/0.43 % sat_guarded_non_collapsed_types: 0
% 0.18/0.43 % is_epr: 0
% 0.18/0.43 % is_horn: 0
% 0.18/0.43 % has_eq: 1
% 0.18/0.43 % num_pure_diseq_elim: 0
% 0.18/0.43 % simp_replaced_by: 0
% 0.18/0.43 % res_preprocessed: 14
% 0.18/0.43 % prep_upred: 0
% 0.18/0.43 % prep_unflattend: 0
% 0.18/0.43 % pred_elim_cands: 9
% 0.18/0.43 % pred_elim: 9
% 0.18/0.43 % pred_elim_cl: 9
% 0.18/0.43 % pred_elim_cycles: 10
% 0.18/0.43 % forced_gc_time: 0
% 0.18/0.43 % gc_basic_clause_elim: 0
% 0.18/0.43 % parsing_time: 0.003
% 0.18/0.43 % sem_filter_time: 0.
% 0.18/0.43 % pred_elim_time: 0.
% 0.18/0.43 % out_proof_time: 0.
% 0.18/0.43 % monotx_time: 0.
% 0.18/0.43 % subtype_inf_time: 0.
% 0.18/0.43 % unif_index_cands_time: 0.
% 0.18/0.43 % unif_index_add_time: 0.
% 0.18/0.43 % total_time: 0.021
% 0.18/0.43 % num_of_symbols: 62
% 0.18/0.43 % num_of_terms: 381
% 0.18/0.43
% 0.18/0.43 % ------ Propositional Solver
% 0.18/0.43
% 0.18/0.43 % prop_solver_calls: 1
% 0.18/0.43 % prop_fast_solver_calls: 27
% 0.18/0.43 % prop_num_of_clauses: 107
% 0.18/0.43 % prop_preprocess_simplified: 268
% 0.18/0.43 % prop_fo_subsumed: 0
% 0.18/0.43 % prop_solver_time: 0.
% 0.18/0.43 % prop_fast_solver_time: 0.
% 0.18/0.43 % prop_unsat_core_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ QBF
% 0.18/0.43
% 0.18/0.43 % qbf_q_res: 0
% 0.18/0.43 % qbf_num_tautologies: 0
% 0.18/0.43 % qbf_prep_cycles: 0
% 0.18/0.43
% 0.18/0.43 % ------ BMC1
% 0.18/0.43
% 0.18/0.43 % bmc1_current_bound: -1
% 0.18/0.43 % bmc1_last_solved_bound: -1
% 0.18/0.43 % bmc1_unsat_core_size: -1
% 0.18/0.43 % bmc1_unsat_core_parents_size: -1
% 0.18/0.43 % bmc1_merge_next_fun: 0
% 0.18/0.43 % bmc1_unsat_core_clauses_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ Instantiation
% 0.18/0.43
% 0.18/0.43 % inst_num_of_clauses: 73
% 0.18/0.43 % inst_num_in_passive: 0
% 0.18/0.43 % inst_num_in_active: 0
% 0.18/0.43 % inst_num_in_unprocessed: 76
% 0.18/0.43 % inst_num_of_loops: 0
% 0.18/0.43 % inst_num_of_learning_restarts: 0
% 0.18/0.43 % inst_num_moves_active_passive: 0
% 0.18/0.43 % inst_lit_activity: 0
% 0.18/0.43 % inst_lit_activity_moves: 0
% 0.18/0.43 % inst_num_tautologies: 0
% 0.18/0.43 % inst_num_prop_implied: 0
% 0.18/0.43 % inst_num_existing_simplified: 0
% 0.18/0.43 % inst_num_eq_res_simplified: 0
% 0.18/0.43 % inst_num_child_elim: 0
% 0.18/0.43 % inst_num_of_dismatching_blockings: 0
% 0.18/0.43 % inst_num_of_non_proper_insts: 0
% 0.18/0.43 % inst_num_of_duplicates: 0
% 0.18/0.43 % inst_inst_num_from_inst_to_res: 0
% 0.18/0.43 % inst_dismatching_checking_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ Resolution
% 0.18/0.43
% 0.18/0.43 % res_num_of_clauses: 122
% 0.18/0.43 % res_num_in_passive: 2
% 0.18/0.43 % res_num_in_active: 57
% 0.18/0.43 % res_num_of_loops: 2
% 0.18/0.43 % res_forward_subset_subsumed: 16
% 0.18/0.43 % res_backward_subset_subsumed: 0
% 0.18/0.43 % res_forward_subsumed: 0
% 0.18/0.43 % res_backward_subsumed: 0
% 0.18/0.43 % res_forward_subsumption_resolution: 1
% 0.18/0.43 % res_backward_subsumption_resolution: 0
% 0.18/0.43 % res_clause_to_clause_subsumption: 1
% 0.18/0.43 % res_orphan_elimination: 0
% 0.18/0.43 % res_tautology_del: 0
% 0.18/0.43 % res_num_eq_res_simplified: 0
% 0.18/0.43 % res_num_sel_changes: 0
% 0.18/0.43 % res_moves_from_active_to_pass: 0
% 0.18/0.43
% 0.18/0.43 % Status Unsatisfiable
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------