TSTP Solution File: NUM590+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM590+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:14:52 EDT 2024
% Result : Theorem 42.86s 5.90s
% Output : CNFRefutation 42.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 156 ( 32 unt; 0 def)
% Number of atoms : 591 ( 98 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 747 ( 312 ~; 307 |; 79 &)
% ( 12 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 12 con; 0-3 aty)
% Number of variables : 209 ( 1 sgn 102 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(m__4448_02,hypothesis,
( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(m__4182,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4182) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(m__4448,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(m__,conjecture,
aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_30,plain,
! [X106,X107,X108,X109,X110] :
( ( aSet0(X107)
| X107 != slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,X107)
| X107 != slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X108),X106)
| ~ aElementOf0(X108,X107)
| X107 != slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),X106)
| aElementOf0(X109,X107)
| X107 != slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X106,X110),X110)
| ~ aElementOf0(esk9_2(X106,X110),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X106,X110)),X106)
| ~ aSet0(X110)
| X110 = slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( aElementOf0(esk9_2(X106,X110),szNzAzT0)
| aElementOf0(esk9_2(X106,X110),X110)
| ~ aSet0(X110)
| X110 = slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X106,X110)),X106)
| aElementOf0(esk9_2(X106,X110),X110)
| ~ aSet0(X110)
| X110 = slbdtrb0(X106)
| ~ aElementOf0(X106,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
fof(c_0_31,plain,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
fof(c_0_32,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
inference(fof_simplification,[status(thm)],[mCountNFin_01]) ).
fof(c_0_33,plain,
! [X29,X30,X31] :
( ~ aSet0(X29)
| ~ aSet0(X30)
| ~ aSet0(X31)
| ~ aSubsetOf0(X29,X30)
| ~ aSubsetOf0(X30,X31)
| aSubsetOf0(X29,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).
fof(c_0_34,plain,
! [X19,X20,X21,X22] :
( ( aSet0(X20)
| ~ aSubsetOf0(X20,X19)
| ~ aSet0(X19) )
& ( ~ aElementOf0(X21,X20)
| aElementOf0(X21,X19)
| ~ aSubsetOf0(X20,X19)
| ~ aSet0(X19) )
& ( aElementOf0(esk2_2(X19,X22),X22)
| ~ aSet0(X22)
| aSubsetOf0(X22,X19)
| ~ aSet0(X19) )
& ( ~ aElementOf0(esk2_2(X19,X22),X19)
| ~ aSet0(X22)
| aSubsetOf0(X22,X19)
| ~ aSet0(X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
fof(c_0_35,plain,
! [X12,X13,X14] :
( ( aSet0(X12)
| X12 != slcrc0 )
& ( ~ aElementOf0(X13,X12)
| X12 != slcrc0 )
& ( ~ aSet0(X14)
| aElementOf0(esk1_1(X14),X14)
| X14 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefEmp])])])])])])]) ).
fof(c_0_36,plain,
! [X119] :
( ~ aElementOf0(X119,szNzAzT0)
| sbrdtbr0(slbdtrb0(X119)) = X119 ),
inference(fof_nnf,[status(thm)],[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_30]) ).
fof(c_0_38,plain,
! [X39,X40,X41,X42,X43,X44] :
( ( aSet0(X41)
| X41 != sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( aElement0(X42)
| ~ aElementOf0(X42,X41)
| X41 != sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( aElementOf0(X42,X39)
| ~ aElementOf0(X42,X41)
| X41 != sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( X42 != X40
| ~ aElementOf0(X42,X41)
| X41 != sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( ~ aElement0(X43)
| ~ aElementOf0(X43,X39)
| X43 = X40
| aElementOf0(X43,X41)
| X41 != sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( ~ aElementOf0(esk4_3(X39,X40,X44),X44)
| ~ aElement0(esk4_3(X39,X40,X44))
| ~ aElementOf0(esk4_3(X39,X40,X44),X39)
| esk4_3(X39,X40,X44) = X40
| ~ aSet0(X44)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( aElement0(esk4_3(X39,X40,X44))
| aElementOf0(esk4_3(X39,X40,X44),X44)
| ~ aSet0(X44)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( aElementOf0(esk4_3(X39,X40,X44),X39)
| aElementOf0(esk4_3(X39,X40,X44),X44)
| ~ aSet0(X44)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) )
& ( esk4_3(X39,X40,X44) != X40
| aElementOf0(esk4_3(X39,X40,X44),X44)
| ~ aSet0(X44)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X39)
| ~ aElement0(X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])])])]) ).
fof(c_0_39,plain,
! [X82] :
( ~ aSet0(X82)
| aElement0(sbrdtbr0(X82)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])])]) ).
fof(c_0_40,plain,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefMin]) ).
fof(c_0_41,plain,
! [X18] :
( ~ aSet0(X18)
| ~ isCountable0(X18)
| X18 != slcrc0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_42,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_47,plain,
! [X89,X90] :
( ~ aSet0(X89)
| ~ isFinite0(X89)
| ~ aSubsetOf0(X90,X89)
| sdtlseqdt0(sbrdtbr0(X90),sbrdtbr0(X89)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])])]) ).
cnf(c_0_48,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_50,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_51,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_37]) ).
fof(c_0_52,hypothesis,
! [X183] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X183)),sdtmndt0(sdtlpdtrp0(xN,X183),szmzizndt0(sdtlpdtrp0(xN,X183))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X183))
| ~ aElementOf0(X183,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X183)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X183))
| ~ aElementOf0(X183,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])]) ).
fof(c_0_53,hypothesis,
! [X184] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X184),szNzAzT0)
| ~ aElementOf0(X184,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X184))
| ~ aElementOf0(X184,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
cnf(c_0_54,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_55,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_56,plain,
! [X94,X95,X96,X97] :
( ( aElementOf0(X95,X94)
| X95 != szmzizndt0(X94)
| ~ aSubsetOf0(X94,szNzAzT0)
| X94 = slcrc0 )
& ( ~ aElementOf0(X96,X94)
| sdtlseqdt0(X95,X96)
| X95 != szmzizndt0(X94)
| ~ aSubsetOf0(X94,szNzAzT0)
| X94 = slcrc0 )
& ( aElementOf0(esk7_2(X94,X97),X94)
| ~ aElementOf0(X97,X94)
| X97 = szmzizndt0(X94)
| ~ aSubsetOf0(X94,szNzAzT0)
| X94 = slcrc0 )
& ( ~ sdtlseqdt0(X97,esk7_2(X94,X97))
| ~ aElementOf0(X97,X94)
| X97 = szmzizndt0(X94)
| ~ aSubsetOf0(X94,szNzAzT0)
| X94 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_40])])])])])])]) ).
cnf(c_0_57,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_58,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_59,plain,
( aSubsetOf0(X1,X2)
| X1 != slcrc0
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
fof(c_0_60,plain,
! [X115,X116] :
( ( ~ sdtlseqdt0(X115,X116)
| aSubsetOf0(slbdtrb0(X115),slbdtrb0(X116))
| ~ aElementOf0(X115,szNzAzT0)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X115),slbdtrb0(X116))
| sdtlseqdt0(X115,X116)
| ~ aElementOf0(X115,szNzAzT0)
| ~ aElementOf0(X116,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])])]) ).
cnf(c_0_61,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_63,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
cnf(c_0_64,plain,
aSet0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_50])]) ).
fof(c_0_65,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
cnf(c_0_66,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_52]) ).
cnf(c_0_67,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_68,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_70,hypothesis,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(split_conjunct,[status(thm)],[m__4448_02]) ).
cnf(c_0_71,plain,
( aElement0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(slbdtrb0(X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_72,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_73,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_74,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_75,plain,
( X1 != slcrc0
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[c_0_57,c_0_46]) ).
fof(c_0_76,hypothesis,
! [X193] :
( ~ aElementOf0(X193,szNzAzT0)
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X193),szDzozmdt0(sdtlpdtrp0(xC,X193))),xT) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4182])])]) ).
cnf(c_0_77,plain,
( aSubsetOf0(X1,X2)
| X3 != slcrc0
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_78,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_79,plain,
( sdtlseqdt0(sbrdtbr0(X1),sz00)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_64])]) ).
fof(c_0_80,plain,
! [X17] :
( ~ aSet0(X17)
| ~ isCountable0(X17)
| ~ isFinite0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
cnf(c_0_81,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_82,plain,
! [X24,X25] :
( ~ aSet0(X24)
| ~ isFinite0(X24)
| ~ aSubsetOf0(X25,X24)
| isFinite0(X25) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])])]) ).
cnf(c_0_83,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_66,c_0_67]),c_0_68]) ).
cnf(c_0_84,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4448]) ).
cnf(c_0_85,hypothesis,
( aSet0(xY)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_86,plain,
( aElement0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_71,c_0_51]) ).
cnf(c_0_87,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_68]),c_0_73])]) ).
cnf(c_0_88,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_89,hypothesis,
( sdtlpdtrp0(xN,X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_75,c_0_67]) ).
cnf(c_0_90,hypothesis,
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_91,hypothesis,
xd = sdtlpdtrp0(xC,xi),
inference(split_conjunct,[status(thm)],[m__4448_02]) ).
cnf(c_0_92,plain,
( aSubsetOf0(slbdtrb0(X1),X2)
| slbdtrb0(X3) != slcrc0
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_93,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(spm,[status(thm)],[c_0_79,c_0_62]) ).
fof(c_0_94,plain,
! [X26] :
( ~ aSet0(X26)
| aSubsetOf0(X26,X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])])]) ).
fof(c_0_95,plain,
! [X56,X57] :
( ~ aElement0(X56)
| ~ aSet0(X57)
| ~ isFinite0(X57)
| isFinite0(sdtmndt0(X57,X56)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])])]) ).
cnf(c_0_96,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_97,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_81,c_0_67]),c_0_68]) ).
cnf(c_0_98,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_70]),c_0_84])]) ).
cnf(c_0_100,hypothesis,
( aSet0(xY)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_101,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_68]),c_0_89]) ).
cnf(c_0_102,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_84])]) ).
cnf(c_0_103,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_104,plain,
( aSubsetOf0(slcrc0,X1)
| ~ aSubsetOf0(slcrc0,slcrc0)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_49]),c_0_49]),c_0_50])]) ).
cnf(c_0_105,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_106,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_107,plain,
! [X166,X167,X168,X169,X170] :
( ( aFunction0(X168)
| X168 != sdtexdt0(X166,X167)
| ~ aSubsetOf0(X167,szDzozmdt0(X166))
| ~ aFunction0(X166) )
& ( szDzozmdt0(X168) = X167
| X168 != sdtexdt0(X166,X167)
| ~ aSubsetOf0(X167,szDzozmdt0(X166))
| ~ aFunction0(X166) )
& ( ~ aElementOf0(X169,X167)
| sdtlpdtrp0(X168,X169) = sdtlpdtrp0(X166,X169)
| X168 != sdtexdt0(X166,X167)
| ~ aSubsetOf0(X167,szDzozmdt0(X166))
| ~ aFunction0(X166) )
& ( aElementOf0(esk17_3(X166,X167,X170),X167)
| ~ aFunction0(X170)
| szDzozmdt0(X170) != X167
| X170 = sdtexdt0(X166,X167)
| ~ aSubsetOf0(X167,szDzozmdt0(X166))
| ~ aFunction0(X166) )
& ( sdtlpdtrp0(X170,esk17_3(X166,X167,X170)) != sdtlpdtrp0(X166,esk17_3(X166,X167,X170))
| ~ aFunction0(X170)
| szDzozmdt0(X170) != X167
| X170 = sdtexdt0(X166,X167)
| ~ aSubsetOf0(X167,szDzozmdt0(X166))
| ~ aFunction0(X166) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefRst])])])])])])]) ).
cnf(c_0_108,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_109,hypothesis,
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_110,hypothesis,
( isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ isFinite0(xY)
| ~ aSet0(xY) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_111,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(xY) ),
inference(spm,[status(thm)],[c_0_43,c_0_99]) ).
cnf(c_0_112,hypothesis,
( aSet0(xY)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_84])]) ).
cnf(c_0_113,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_68]),c_0_73])]) ).
cnf(c_0_114,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_102]),c_0_103])]) ).
cnf(c_0_115,plain,
( aSubsetOf0(slcrc0,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_64])]) ).
cnf(c_0_116,hypothesis,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_102]),c_0_103])]) ).
cnf(c_0_117,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_106]) ).
fof(c_0_118,plain,
! [X141] :
( ~ aFunction0(X141)
| aSet0(szDzozmdt0(X141)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])])]) ).
cnf(c_0_119,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_120,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_121,hypothesis,
( isFinite0(xY)
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_108,c_0_70]) ).
cnf(c_0_122,hypothesis,
( ~ isFinite0(xY)
| ~ aSet0(xY) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_84])]),c_0_111]) ).
cnf(c_0_123,hypothesis,
aSet0(xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_84])]) ).
cnf(c_0_124,hypothesis,
aSubsetOf0(slcrc0,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_125,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_126,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk2_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_45]),c_0_69]) ).
fof(c_0_127,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_128,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_129,plain,
( szDzozmdt0(sdtexdt0(X1,X2)) = X2
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_130,plain,
( aFunction0(sdtexdt0(X1,X2))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_120]) ).
fof(c_0_131,hypothesis,
! [X191,X192] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X191))
| ~ aElementOf0(X191,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X191)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X191),szmzizndt0(sdtlpdtrp0(xN,X191))),xk)
| ~ aElementOf0(X191,szNzAzT0) )
& ( ~ aSet0(X192)
| ~ aElementOf0(X192,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X191),szmzizndt0(sdtlpdtrp0(xN,X191))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X191),X192) = sdtlpdtrp0(xc,sdtpldt0(X192,szmzizndt0(sdtlpdtrp0(xN,X191))))
| ~ aElementOf0(X191,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])])]) ).
cnf(c_0_132,hypothesis,
( isFinite0(xY)
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_121,c_0_86]) ).
cnf(c_0_133,hypothesis,
~ isFinite0(xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_134,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_124]),c_0_103])]) ).
cnf(c_0_135,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_136,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_68]),c_0_73])]) ).
cnf(c_0_137,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_69]) ).
fof(c_0_138,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(fof_nnf,[status(thm)],[c_0_127]) ).
fof(c_0_139,plain,
! [X9,X10] :
( ~ aSet0(X9)
| ~ aElementOf0(X10,X9)
| aElement0(X10) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_140,plain,
( aSet0(X1)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szDzozmdt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_141,hypothesis,
szDzozmdt0(xC) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_142,hypothesis,
aFunction0(xC),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_143,hypothesis,
( ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_101]),c_0_84])]),c_0_133]) ).
cnf(c_0_144,hypothesis,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_134]),c_0_135]),c_0_103])]) ).
cnf(c_0_145,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_134]),c_0_103])]) ).
cnf(c_0_146,hypothesis,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X1),X2),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_113]) ).
cnf(c_0_147,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_148,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_149,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).
cnf(c_0_150,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),slcrc0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_151,hypothesis,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_70]),c_0_84])]),c_0_147]) ).
cnf(c_0_152,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_88]),c_0_149]) ).
cnf(c_0_153,hypothesis,
sdtlpdtrp0(xN,xi) != slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_59]),c_0_64])]) ).
cnf(c_0_154,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_155,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_68]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM590+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 05:47:22 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 42.86/5.90 # Version: 3.1.0
% 42.86/5.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 42.86/5.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.86/5.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 42.86/5.90 # Starting new_bool_3 with 300s (1) cores
% 42.86/5.90 # Starting new_bool_1 with 300s (1) cores
% 42.86/5.90 # Starting sh5l with 300s (1) cores
% 42.86/5.90 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32171 completed with status 0
% 42.86/5.90 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 42.86/5.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 42.86/5.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.86/5.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 42.86/5.90 # No SInE strategy applied
% 42.86/5.90 # Search class: FGHSF-FSLM32-MFFFFFNN
% 42.86/5.90 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 42.86/5.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 42.86/5.90 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 42.86/5.90 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 42.86/5.90 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 151s (1) cores
% 42.86/5.90 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 146s (1) cores
% 42.86/5.90 # G-E--_302_C18_F1_URBAN_S0Y with pid 32180 completed with status 0
% 42.86/5.90 # Result found by G-E--_302_C18_F1_URBAN_S0Y
% 42.86/5.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 42.86/5.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.86/5.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 42.86/5.90 # No SInE strategy applied
% 42.86/5.90 # Search class: FGHSF-FSLM32-MFFFFFNN
% 42.86/5.90 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 42.86/5.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 42.86/5.90 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 42.86/5.90 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 42.86/5.90 # Preprocessing time : 0.005 s
% 42.86/5.90
% 42.86/5.90 # Proof found!
% 42.86/5.90 # SZS status Theorem
% 42.86/5.90 # SZS output start CNFRefutation
% See solution above
% 42.86/5.90 # Parsed axioms : 92
% 42.86/5.90 # Removed by relevancy pruning/SinE : 0
% 42.86/5.90 # Initial clauses : 182
% 42.86/5.90 # Removed in clause preprocessing : 7
% 42.86/5.90 # Initial clauses in saturation : 175
% 42.86/5.90 # Processed clauses : 9080
% 42.86/5.90 # ...of these trivial : 185
% 42.86/5.90 # ...subsumed : 5132
% 42.86/5.90 # ...remaining for further processing : 3763
% 42.86/5.90 # Other redundant clauses eliminated : 37
% 42.86/5.90 # Clauses deleted for lack of memory : 0
% 42.86/5.90 # Backward-subsumed : 450
% 42.86/5.90 # Backward-rewritten : 91
% 42.86/5.90 # Generated clauses : 142485
% 42.86/5.90 # ...of the previous two non-redundant : 136672
% 42.86/5.90 # ...aggressively subsumed : 0
% 42.86/5.90 # Contextual simplify-reflections : 1069
% 42.86/5.90 # Paramodulations : 142178
% 42.86/5.90 # Factorizations : 0
% 42.86/5.90 # NegExts : 0
% 42.86/5.90 # Equation resolutions : 303
% 42.86/5.90 # Disequality decompositions : 0
% 42.86/5.90 # Total rewrite steps : 71659
% 42.86/5.90 # ...of those cached : 71546
% 42.86/5.90 # Propositional unsat checks : 0
% 42.86/5.90 # Propositional check models : 0
% 42.86/5.90 # Propositional check unsatisfiable : 0
% 42.86/5.90 # Propositional clauses : 0
% 42.86/5.90 # Propositional clauses after purity: 0
% 42.86/5.90 # Propositional unsat core size : 0
% 42.86/5.90 # Propositional preprocessing time : 0.000
% 42.86/5.90 # Propositional encoding time : 0.000
% 42.86/5.90 # Propositional solver time : 0.000
% 42.86/5.90 # Success case prop preproc time : 0.000
% 42.86/5.90 # Success case prop encoding time : 0.000
% 42.86/5.90 # Success case prop solver time : 0.000
% 42.86/5.90 # Current number of processed clauses : 3215
% 42.86/5.90 # Positive orientable unit clauses : 116
% 42.86/5.90 # Positive unorientable unit clauses: 0
% 42.86/5.90 # Negative unit clauses : 80
% 42.86/5.90 # Non-unit-clauses : 3019
% 42.86/5.90 # Current number of unprocessed clauses: 126643
% 42.86/5.90 # ...number of literals in the above : 959823
% 42.86/5.90 # Current number of archived formulas : 0
% 42.86/5.90 # Current number of archived clauses : 545
% 42.86/5.90 # Clause-clause subsumption calls (NU) : 1921236
% 42.86/5.90 # Rec. Clause-clause subsumption calls : 168575
% 42.86/5.90 # Non-unit clause-clause subsumptions : 4261
% 42.86/5.90 # Unit Clause-clause subsumption calls : 49952
% 42.86/5.90 # Rewrite failures with RHS unbound : 0
% 42.86/5.90 # BW rewrite match attempts : 33
% 42.86/5.90 # BW rewrite match successes : 22
% 42.86/5.90 # Condensation attempts : 0
% 42.86/5.90 # Condensation successes : 0
% 42.86/5.90 # Termbank termtop insertions : 3578529
% 42.86/5.90 # Search garbage collected termcells : 3581
% 42.86/5.90
% 42.86/5.90 # -------------------------------------------------
% 42.86/5.90 # User time : 5.175 s
% 42.86/5.90 # System time : 0.115 s
% 42.86/5.90 # Total time : 5.290 s
% 42.86/5.90 # Maximum resident set size: 2384 pages
% 42.86/5.90
% 42.86/5.90 # -------------------------------------------------
% 42.86/5.90 # User time : 25.881 s
% 42.86/5.90 # System time : 0.595 s
% 42.86/5.90 # Total time : 26.475 s
% 42.86/5.90 # Maximum resident set size: 1808 pages
% 42.86/5.90 % E---3.1 exiting
% 42.86/5.90 % E exiting
%------------------------------------------------------------------------------