TSTP Solution File: NUM573+3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:56:25 EDT 2023
% Result : Theorem 1664.25s 250.48s
% Output : CNFRefutation 1664.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 149 ( 35 unt; 0 def)
% Number of atoms : 807 ( 103 equ)
% Maximal formula atoms : 181 ( 5 avg)
% Number of connectives : 1110 ( 452 ~; 484 |; 122 &)
% ( 11 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 218 ( 0 sgn; 101 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mDefDiff) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mDefSub) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSubTrans) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mDefSeg) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mDiffCons) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mDefCons) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mCardSeg) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mCardS) ).
fof(m__3786,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',m__3786) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSegSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSuccNum) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSuccLess) ).
fof(m__,conjecture,
( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',m__) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSegLess) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSubRefl) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mNatExtra) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',m__3671) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mSuccEquSucc) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mEOfElem) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',m__3623) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( iLess0(X1,xi)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',m__3754) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mIH) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p',mNATSet) ).
fof(c_0_23,plain,
! [X36,X37,X38,X39,X40,X41] :
( ( aSet0(X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElement0(X39)
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElementOf0(X39,X36)
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( X39 != X37
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( ~ aElement0(X40)
| ~ aElementOf0(X40,X36)
| X40 = X37
| aElementOf0(X40,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( ~ aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aElement0(esk4_3(X36,X37,X41))
| ~ aElementOf0(esk4_3(X36,X37,X41),X36)
| esk4_3(X36,X37,X41) = X37
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElement0(esk4_3(X36,X37,X41))
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElementOf0(esk4_3(X36,X37,X41),X36)
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( esk4_3(X36,X37,X41) != X37
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) ) ),
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)],[mDefDiff])])])])])]) ).
cnf(c_0_24,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_25,plain,
! [X16,X17,X18,X19] :
( ( aSet0(X17)
| ~ aSubsetOf0(X17,X16)
| ~ aSet0(X16) )
& ( ~ aElementOf0(X18,X17)
| aElementOf0(X18,X16)
| ~ aSubsetOf0(X17,X16)
| ~ aSet0(X16) )
& ( aElementOf0(esk2_2(X16,X19),X19)
| ~ aSet0(X19)
| aSubsetOf0(X19,X16)
| ~ aSet0(X16) )
& ( ~ aElementOf0(esk2_2(X16,X19),X16)
| ~ aSet0(X19)
| aSubsetOf0(X19,X16)
| ~ aSet0(X16) ) ),
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)],[mDefSub])])])])])]) ).
cnf(c_0_26,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X26,X27,X28] :
( ~ aSet0(X26)
| ~ aSet0(X27)
| ~ aSet0(X28)
| ~ aSubsetOf0(X26,X27)
| ~ aSubsetOf0(X27,X28)
| aSubsetOf0(X26,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_28,plain,
! [X99,X100,X101,X102,X103] :
( ( aSet0(X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(X101,szNzAzT0)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X101),X99)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(X102,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X102),X99)
| aElementOf0(X102,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X99,X103),X103)
| ~ aElementOf0(esk9_2(X99,X103),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(esk9_2(X99,X103),szNzAzT0)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) ) ),
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)],[mDefSeg])])])])])]) ).
cnf(c_0_29,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_30,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[mDiffCons]) ).
fof(c_0_35,plain,
! [X29,X30,X31,X32,X33,X34] :
( ( aSet0(X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElement0(X32)
| ~ aElementOf0(X32,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElementOf0(X32,X29)
| X32 = X30
| ~ aElementOf0(X32,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( ~ aElementOf0(X33,X29)
| ~ aElement0(X33)
| aElementOf0(X33,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( X33 != X30
| ~ aElement0(X33)
| aElementOf0(X33,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( ~ aElementOf0(esk3_3(X29,X30,X34),X29)
| ~ aElement0(esk3_3(X29,X30,X34))
| ~ aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( esk3_3(X29,X30,X34) != X30
| ~ aElement0(esk3_3(X29,X30,X34))
| ~ aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElement0(esk3_3(X29,X30,X34))
| aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElementOf0(esk3_3(X29,X30,X34),X29)
| esk3_3(X29,X30,X34) = X30
| aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) ) ),
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)],[mDefCons])])])])])]) ).
fof(c_0_36,plain,
! [X112] :
( ~ aElementOf0(X112,szNzAzT0)
| sbrdtbr0(slbdtrb0(X112)) = X112 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_32,c_0_33]),c_0_33]) ).
fof(c_0_40,plain,
! [X45,X46] :
( ~ aElement0(X45)
| ~ aSet0(X46)
| aElementOf0(X45,X46)
| sdtmndt0(sdtpldt0(X46,X45),X45) = X46 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_41,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X75] :
( ~ aSet0(X75)
| aElement0(sbrdtbr0(X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
cnf(c_0_43,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,hypothesis,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_45,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X106,X107] :
( ( ~ aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| aElementOf0(X106,slbdtrb0(X107))
| X106 = X107
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) )
& ( ~ aElementOf0(X106,slbdtrb0(X107))
| aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) )
& ( X106 != X107
| aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
cnf(c_0_47,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aSubsetOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31]) ).
cnf(c_0_48,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,hypothesis,
sbrdtbr0(slbdtrb0(xj)) = xj,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,hypothesis,
aSet0(slbdtrb0(xj)),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_53,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
! [X55] :
( ( aElementOf0(szszuzczcdt0(X55),szNzAzT0)
| ~ aElementOf0(X55,szNzAzT0) )
& ( szszuzczcdt0(X55) != sz00
| ~ aElementOf0(X55,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_55,plain,
! [X63,X64] :
( ( ~ sdtlseqdt0(X63,X64)
| sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| sdtlseqdt0(X63,X64)
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(c_0_56,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X4,X3)
| ~ aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_58,hypothesis,
aElement0(xj),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_59,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_61,plain,
! [X108,X109] :
( ( ~ sdtlseqdt0(X108,X109)
| aSubsetOf0(slbdtrb0(X108),slbdtrb0(X109))
| ~ aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X109,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X108),slbdtrb0(X109))
| sdtlseqdt0(X108,X109)
| ~ aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X109,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
cnf(c_0_62,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_63,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_64,negated_conjecture,
( sdtlseqdt0(xj,xi)
& aElementOf0(esk32_0,szNzAzT0)
& szszuzczcdt0(esk32_0) = xi
& sdtlseqdt0(xj,xi)
& aElementOf0(esk33_0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
cnf(c_0_65,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_66,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X3,X2)
| ~ aElementOf0(xj,X3)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,hypothesis,
aElementOf0(xj,slbdtrb0(szszuzczcdt0(xj))),
inference(spm,[status(thm)],[c_0_59,c_0_44]) ).
fof(c_0_68,plain,
! [X23] :
( ~ aSet0(X23)
| aSubsetOf0(X23,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_69,hypothesis,
aElementOf0(szszuzczcdt0(xj),szNzAzT0),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_70,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,hypothesis,
aElementOf0(szszuzczcdt0(xi),szNzAzT0),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_72,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xi))
| ~ sdtlseqdt0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
! [X58] :
( ( aElementOf0(esk5_1(X58),szNzAzT0)
| X58 = sz00
| ~ aElementOf0(X58,szNzAzT0) )
& ( X58 = szszuzczcdt0(esk5_1(X58))
| X58 = sz00
| ~ aElementOf0(X58,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
cnf(c_0_75,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_76,negated_conjecture,
szszuzczcdt0(esk32_0) = xi,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_78,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_79,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_80,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,hypothesis,
aSet0(slbdtrb0(szszuzczcdt0(xj))),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
cnf(c_0_82,hypothesis,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(szszuzczcdt0(xi)))
| ~ sdtlseqdt0(X1,szszuzczcdt0(xi))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_83,hypothesis,
sdtlseqdt0(szszuzczcdt0(xj),szszuzczcdt0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_44]),c_0_73])]) ).
fof(c_0_84,hypothesis,
! [X203,X204] :
( ( aSet0(sdtlpdtrp0(xN,X203))
| ~ aElementOf0(X203,szNzAzT0) )
& ( ~ aElementOf0(X204,sdtlpdtrp0(xN,X203))
| aElementOf0(X204,szNzAzT0)
| ~ aElementOf0(X203,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X203),szNzAzT0)
| ~ aElementOf0(X203,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X203))
| ~ aElementOf0(X203,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
cnf(c_0_85,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,negated_conjecture,
xi != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
fof(c_0_87,plain,
! [X56,X57] :
( ~ aElementOf0(X56,szNzAzT0)
| ~ aElementOf0(X57,szNzAzT0)
| szszuzczcdt0(X56) != szszuzczcdt0(X57)
| X56 = X57 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_89,plain,
( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_90,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xi))) ),
inference(spm,[status(thm)],[c_0_78,c_0_71]) ).
cnf(c_0_91,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_92,hypothesis,
aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),slbdtrb0(szszuzczcdt0(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_83])]) ).
cnf(c_0_93,hypothesis,
aSet0(slbdtrb0(szszuzczcdt0(xi))),
inference(spm,[status(thm)],[c_0_45,c_0_71]) ).
fof(c_0_94,plain,
! [X8,X9] :
( ~ aSet0(X8)
| ~ aElementOf0(X9,X8)
| aElement0(X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_95,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,hypothesis,
aElementOf0(esk5_1(xi),szNzAzT0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_86]) ).
cnf(c_0_97,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_99,hypothesis,
! [X197,X199,X200,X201,X202] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) ) ),
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)],[m__3623])])])])])]) ).
fof(c_0_100,hypothesis,
! [X205,X206,X207] :
( ( ~ aElementOf0(X207,sdtlpdtrp0(xN,X205))
| aElementOf0(X207,sdtlpdtrp0(xN,X206))
| ~ iLess0(X205,xi)
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X205),sdtlpdtrp0(xN,X206))
| ~ iLess0(X205,xi)
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).
fof(c_0_101,plain,
! [X74] :
( ~ aElementOf0(X74,szNzAzT0)
| iLess0(X74,szszuzczcdt0(X74)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
cnf(c_0_102,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_103,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_104,hypothesis,
( X1 = xi
| aElementOf0(X1,slbdtrb0(xi))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xi))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_62]),c_0_90]) ).
cnf(c_0_105,hypothesis,
aElementOf0(xj,slbdtrb0(szszuzczcdt0(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_106,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,hypothesis,
aSet0(sdtlpdtrp0(xN,esk5_1(xi))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( X1 = esk32_0
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_76]),c_0_77])]) ).
cnf(c_0_109,hypothesis,
szszuzczcdt0(esk5_1(xi)) = xi,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_62]),c_0_86]) ).
cnf(c_0_110,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_111,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_112,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_113,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_114,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,negated_conjecture,
( sdtlseqdt0(X1,esk32_0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_77]),c_0_76]) ).
cnf(c_0_116,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),xi)
| ~ aElementOf0(X1,slbdtrb0(xi)) ),
inference(spm,[status(thm)],[c_0_103,c_0_62]) ).
cnf(c_0_117,hypothesis,
( xj = xi
| aElementOf0(xj,slbdtrb0(xi)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_118,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_119,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_120,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk5_1(xi))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_121,hypothesis,
esk5_1(xi) = esk32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_96])]) ).
cnf(c_0_122,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_123,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,xj))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(xj,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_113,c_0_44]) ).
cnf(c_0_124,negated_conjecture,
iLess0(esk32_0,xi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_77]),c_0_76]) ).
cnf(c_0_125,hypothesis,
( sdtlseqdt0(xj,esk32_0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(spm,[status(thm)],[c_0_115,c_0_44]) ).
cnf(c_0_126,hypothesis,
( xj = xi
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_127,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_128,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_119,c_0_111]),c_0_112]) ).
cnf(c_0_129,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_122,c_0_77]) ).
cnf(c_0_131,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_112,c_0_77]) ).
cnf(c_0_132,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_133,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_77]),c_0_124])]) ).
cnf(c_0_134,hypothesis,
( xj = xi
| sdtlseqdt0(xj,esk32_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_135,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xj),szNzAzT0),
inference(spm,[status(thm)],[c_0_112,c_0_44]) ).
cnf(c_0_136,plain,
( aElementOf0(X1,X2)
| ~ aSubsetOf0(X3,sdtmndt0(X2,X4))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_30]),c_0_31]) ).
cnf(c_0_137,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_77]),c_0_76]) ).
cnf(c_0_138,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0))),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_139,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk32_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_131]),c_0_132])]) ).
cnf(c_0_140,negated_conjecture,
( xj = xi
| aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,xj)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,hypothesis,
aSet0(sdtlpdtrp0(xN,xj)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_135]),c_0_132])]) ).
cnf(c_0_142,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139])]) ).
cnf(c_0_143,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_144,negated_conjecture,
( xj = xi
| aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_140]),c_0_141])]) ).
cnf(c_0_145,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_147,negated_conjecture,
xj = xi,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 14:28:44 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Hryrq2MZbx/E---3.1_14454.p
% 1664.25/250.48 # Version: 3.1pre001
% 1664.25/250.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1664.25/250.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1664.25/250.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1664.25/250.48 # Starting new_bool_3 with 300s (1) cores
% 1664.25/250.48 # Starting new_bool_1 with 300s (1) cores
% 1664.25/250.48 # Starting sh5l with 300s (1) cores
% 1664.25/250.48 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 14552 completed with status 0
% 1664.25/250.48 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1664.25/250.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1664.25/250.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1664.25/250.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1664.25/250.48 # No SInE strategy applied
% 1664.25/250.48 # Search class: FGHSF-SMLM32-MFFFFFNN
% 1664.25/250.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1664.25/250.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 1664.25/250.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1664.25/250.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1664.25/250.48 # Starting new_bool_3 with 136s (1) cores
% 1664.25/250.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1664.25/250.48 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 14577 completed with status 7
% 1664.25/250.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 130s (1) cores
% 1664.25/250.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 14571 completed with status 7
% 1664.25/250.48 # new_bool_3 with pid 14572 completed with status 7
% 1664.25/250.48 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 14567 completed with status 7
% 1664.25/250.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 14564 completed with status 0
% 1664.25/250.48 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 1664.25/250.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1664.25/250.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1664.25/250.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1664.25/250.48 # No SInE strategy applied
% 1664.25/250.48 # Search class: FGHSF-SMLM32-MFFFFFNN
% 1664.25/250.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1664.25/250.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 1664.25/250.48 # Preprocessing time : 0.139 s
% 1664.25/250.48 # Presaturation interreduction done
% 1664.25/250.48
% 1664.25/250.48 # Proof found!
% 1664.25/250.48 # SZS status Theorem
% 1664.25/250.48 # SZS output start CNFRefutation
% See solution above
% 1664.25/250.48 # Parsed axioms : 85
% 1664.25/250.48 # Removed by relevancy pruning/SinE : 0
% 1664.25/250.48 # Initial clauses : 4190
% 1664.25/250.48 # Removed in clause preprocessing : 7
% 1664.25/250.48 # Initial clauses in saturation : 4183
% 1664.25/250.48 # Processed clauses : 97594
% 1664.25/250.48 # ...of these trivial : 787
% 1664.25/250.48 # ...subsumed : 52922
% 1664.25/250.48 # ...remaining for further processing : 43885
% 1664.25/250.48 # Other redundant clauses eliminated : 1942
% 1664.25/250.48 # Clauses deleted for lack of memory : 172160
% 1664.25/250.48 # Backward-subsumed : 3488
% 1664.25/250.48 # Backward-rewritten : 6317
% 1664.25/250.48 # Generated clauses : 2972740
% 1664.25/250.48 # ...of the previous two non-redundant : 2833263
% 1664.25/250.48 # ...aggressively subsumed : 0
% 1664.25/250.48 # Contextual simplify-reflections : 717
% 1664.25/250.48 # Paramodulations : 2970793
% 1664.25/250.48 # Factorizations : 193
% 1664.25/250.48 # NegExts : 0
% 1664.25/250.48 # Equation resolutions : 1948
% 1664.25/250.48 # Total rewrite steps : 865878
% 1664.25/250.48 # Propositional unsat checks : 0
% 1664.25/250.48 # Propositional check models : 0
% 1664.25/250.48 # Propositional check unsatisfiable : 0
% 1664.25/250.48 # Propositional clauses : 0
% 1664.25/250.48 # Propositional clauses after purity: 0
% 1664.25/250.48 # Propositional unsat core size : 0
% 1664.25/250.48 # Propositional preprocessing time : 0.000
% 1664.25/250.48 # Propositional encoding time : 0.000
% 1664.25/250.48 # Propositional solver time : 0.000
% 1664.25/250.48 # Success case prop preproc time : 0.000
% 1664.25/250.48 # Success case prop encoding time : 0.000
% 1664.25/250.48 # Success case prop solver time : 0.000
% 1664.25/250.48 # Current number of processed clauses : 28743
% 1664.25/250.48 # Positive orientable unit clauses : 3307
% 1664.25/250.48 # Positive unorientable unit clauses: 0
% 1664.25/250.48 # Negative unit clauses : 1301
% 1664.25/250.48 # Non-unit-clauses : 24135
% 1664.25/250.48 # Current number of unprocessed clauses: 1741741
% 1664.25/250.48 # ...number of literals in the above : 8415051
% 1664.25/250.48 # Current number of archived formulas : 0
% 1664.25/250.48 # Current number of archived clauses : 13397
% 1664.25/250.48 # Clause-clause subsumption calls (NU) : 468164248
% 1664.25/250.48 # Rec. Clause-clause subsumption calls : 43819036
% 1664.25/250.48 # Non-unit clause-clause subsumptions : 50340
% 1664.25/250.48 # Unit Clause-clause subsumption calls : 9555805
% 1664.25/250.48 # Rewrite failures with RHS unbound : 0
% 1664.25/250.48 # BW rewrite match attempts : 309046
% 1664.25/250.48 # BW rewrite match successes : 197
% 1664.25/250.48 # Condensation attempts : 0
% 1664.25/250.48 # Condensation successes : 0
% 1664.25/250.48 # Termbank termtop insertions : 124298701
% 1664.25/250.48
% 1664.25/250.48 # -------------------------------------------------
% 1664.25/250.48 # User time : 803.240 s
% 1664.25/250.48 # System time : 3.813 s
% 1664.25/250.48 # Total time : 807.054 s
% 1664.25/250.48 # Maximum resident set size: 13440 pages
% 1664.25/250.48
% 1664.25/250.48 # -------------------------------------------------
% 1664.25/250.48 # User time : 913.746 s
% 1664.25/250.48 # System time : 5.284 s
% 1664.25/250.48 # Total time : 919.030 s
% 1664.25/250.48 # Maximum resident set size: 1808 pages
% 1664.25/250.48 % E---3.1 exiting
% 1664.25/250.48 % E---3.1 exiting
%------------------------------------------------------------------------------