TSTP Solution File: NUM590+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM590+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 18:56:30 EDT 2023
% Result : Theorem 49.14s 6.97s
% Output : CNFRefutation 49.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 152 ( 31 unt; 0 def)
% Number of atoms : 573 ( 93 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 729 ( 308 ~; 307 |; 72 &)
% ( 9 <=>; 33 =>; 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 : 201 ( 1 sgn; 94 !; 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/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mDefSeg) ).
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.cXunxos3mK/E---3.1_15926.p',mSubTrans) ).
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.cXunxos3mK/E---3.1_15926.p',mDefSub) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mDefEmp) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mCardSeg) ).
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.cXunxos3mK/E---3.1_15926.p',mDefDiff) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mCardS) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mCountNFin_01) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mCardSub) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.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/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__3623) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__3671) ).
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/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mDefMin) ).
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.cXunxos3mK/E---3.1_15926.p',mSegLess) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mEmpFin) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mCountNFin) ).
fof(m__4448_02,hypothesis,
( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__4448_02) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mNATSet) ).
fof(m__4182,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__4182) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mSubFSet) ).
fof(m__4448,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__4448) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mSubRefl) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mFDiffSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.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/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mDefRst) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mDomSet) ).
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/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__4151) ).
fof(m__,conjecture,
aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.cXunxos3mK/E---3.1_15926.p',mEOfElem) ).
fof(c_0_30,plain,
! [X98,X99,X100,X101,X102] :
( ( aSet0(X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( aElementOf0(X100,szNzAzT0)
| ~ aElementOf0(X100,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X100),X98)
| ~ aElementOf0(X100,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( ~ aElementOf0(X101,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X101),X98)
| aElementOf0(X101,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X98,X102),X102)
| ~ aElementOf0(esk9_2(X98,X102),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X98,X102)),X98)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( aElementOf0(esk9_2(X98,X102),szNzAzT0)
| aElementOf0(esk9_2(X98,X102),X102)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X98,X102)),X98)
| aElementOf0(esk9_2(X98,X102),X102)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,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])])])])])]) ).
fof(c_0_31,plain,
! [X25,X26,X27] :
( ~ aSet0(X25)
| ~ aSet0(X26)
| ~ aSet0(X27)
| ~ aSubsetOf0(X25,X26)
| ~ aSubsetOf0(X26,X27)
| aSubsetOf0(X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_32,plain,
! [X15,X16,X17,X18] :
( ( aSet0(X16)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(X17,X16)
| aElementOf0(X17,X15)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( aElementOf0(esk2_2(X15,X18),X18)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(esk2_2(X15,X18),X15)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) ) ),
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])])])])])]) ).
fof(c_0_33,plain,
! [X9,X10,X11] :
( ( aSet0(X9)
| X9 != slcrc0 )
& ( ~ aElementOf0(X10,X9)
| X9 != slcrc0 )
& ( ~ aSet0(X11)
| aElementOf0(esk1_1(X11),X11)
| X11 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])]) ).
fof(c_0_34,plain,
! [X111] :
( ~ aElementOf0(X111,szNzAzT0)
| sbrdtbr0(slbdtrb0(X111)) = X111 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_35,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X35,X36,X37,X38,X39,X40] :
( ( aSet0(X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(X38)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(X38,X35)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( X38 != X36
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElement0(X39)
| ~ aElementOf0(X39,X35)
| X39 = X36
| aElementOf0(X39,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aElement0(esk4_3(X35,X36,X40))
| ~ aElementOf0(esk4_3(X35,X36,X40),X35)
| esk4_3(X35,X36,X40) = X36
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(esk4_3(X35,X36,X40))
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(esk4_3(X35,X36,X40),X35)
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( esk4_3(X35,X36,X40) != X36
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) ) ),
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])])])])])]) ).
fof(c_0_37,plain,
! [X74] :
( ~ aSet0(X74)
| aElement0(sbrdtbr0(X74)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(c_0_38,plain,
! [X14] :
( ~ aSet0(X14)
| ~ isCountable0(X14)
| X14 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_39,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_44,plain,
! [X81,X82] :
( ~ aSet0(X81)
| ~ isFinite0(X81)
| ~ aSubsetOf0(X82,X81)
| sdtlseqdt0(sbrdtbr0(X82),sbrdtbr0(X81)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
cnf(c_0_45,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_47,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_48,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_35]) ).
fof(c_0_49,hypothesis,
! [X174] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X174)),sdtmndt0(sdtlpdtrp0(xN,X174),szmzizndt0(sdtlpdtrp0(xN,X174))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X174),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X174))
| ~ aElementOf0(X174,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X174)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X174),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X174))
| ~ aElementOf0(X174,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(c_0_50,hypothesis,
! [X175] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X175),szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X175))
| ~ aElementOf0(X175,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
cnf(c_0_51,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_53,plain,
! [X86,X87,X88,X89] :
( ( aElementOf0(X87,X86)
| X87 != szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( ~ aElementOf0(X88,X86)
| sdtlseqdt0(X87,X88)
| X87 != szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( aElementOf0(esk7_2(X86,X89),X86)
| ~ aElementOf0(X89,X86)
| X89 = szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( ~ sdtlseqdt0(X89,esk7_2(X86,X89))
| ~ aElementOf0(X89,X86)
| X89 = szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMin])])])])])]) ).
cnf(c_0_54,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_55,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).
cnf(c_0_56,plain,
( aSubsetOf0(X1,X2)
| X1 != slcrc0
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
fof(c_0_57,plain,
! [X107,X108] :
( ( ~ sdtlseqdt0(X107,X108)
| aSubsetOf0(slbdtrb0(X107),slbdtrb0(X108))
| ~ aElementOf0(X107,szNzAzT0)
| ~ aElementOf0(X108,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X107),slbdtrb0(X108))
| sdtlseqdt0(X107,X108)
| ~ aElementOf0(X107,szNzAzT0)
| ~ aElementOf0(X108,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
cnf(c_0_58,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_59,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_60,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
cnf(c_0_61,plain,
aSet0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47])]) ).
fof(c_0_62,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
cnf(c_0_63,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_49]) ).
cnf(c_0_64,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_65,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_66,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_67,hypothesis,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(split_conjunct,[status(thm)],[m__4448_02]) ).
cnf(c_0_68,plain,
( aElement0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(slbdtrb0(X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_69,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_70,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_71,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,plain,
( X1 != slcrc0
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[c_0_54,c_0_43]) ).
fof(c_0_73,hypothesis,
! [X184] :
( ~ aElementOf0(X184,szNzAzT0)
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X184),szDzozmdt0(sdtlpdtrp0(xC,X184))),xT) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4182])]) ).
cnf(c_0_74,plain,
( aSubsetOf0(X1,X2)
| X3 != slcrc0
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_75,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_76,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_58,c_0_59]),c_0_60])]),c_0_61])]) ).
fof(c_0_77,plain,
! [X13] :
( ~ aSet0(X13)
| ~ isCountable0(X13)
| ~ isFinite0(X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
cnf(c_0_78,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_49]) ).
fof(c_0_79,plain,
! [X20,X21] :
( ~ aSet0(X20)
| ~ isFinite0(X20)
| ~ aSubsetOf0(X21,X20)
| isFinite0(X21) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
cnf(c_0_80,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_63,c_0_64]),c_0_65]) ).
cnf(c_0_81,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4448]) ).
cnf(c_0_82,hypothesis,
( aSet0(xY)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_83,plain,
( aElement0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_68,c_0_48]) ).
cnf(c_0_84,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_69,c_0_65]),c_0_70])]) ).
cnf(c_0_85,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_86,hypothesis,
( sdtlpdtrp0(xN,X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_72,c_0_64]) ).
cnf(c_0_87,hypothesis,
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,hypothesis,
xd = sdtlpdtrp0(xC,xi),
inference(split_conjunct,[status(thm)],[m__4448_02]) ).
cnf(c_0_89,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_74,c_0_75]) ).
cnf(c_0_90,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(spm,[status(thm)],[c_0_76,c_0_59]) ).
fof(c_0_91,plain,
! [X22] :
( ~ aSet0(X22)
| aSubsetOf0(X22,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(c_0_92,plain,
! [X52,X53] :
( ~ aElement0(X52)
| ~ aSet0(X53)
| ~ isFinite0(X53)
| isFinite0(sdtmndt0(X53,X52)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
cnf(c_0_93,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_94,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_78,c_0_64]),c_0_65]) ).
cnf(c_0_95,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_96,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_67]),c_0_81])]) ).
cnf(c_0_97,hypothesis,
( aSet0(xY)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_98,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_65]),c_0_86]) ).
cnf(c_0_99,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_81])]) ).
cnf(c_0_100,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_101,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_89,c_0_90]),c_0_46]),c_0_46]),c_0_47])]) ).
cnf(c_0_102,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_103,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_104,plain,
! [X157,X158,X159,X160,X161] :
( ( aFunction0(X159)
| X159 != sdtexdt0(X157,X158)
| ~ aSubsetOf0(X158,szDzozmdt0(X157))
| ~ aFunction0(X157) )
& ( szDzozmdt0(X159) = X158
| X159 != sdtexdt0(X157,X158)
| ~ aSubsetOf0(X158,szDzozmdt0(X157))
| ~ aFunction0(X157) )
& ( ~ aElementOf0(X160,X158)
| sdtlpdtrp0(X159,X160) = sdtlpdtrp0(X157,X160)
| X159 != sdtexdt0(X157,X158)
| ~ aSubsetOf0(X158,szDzozmdt0(X157))
| ~ aFunction0(X157) )
& ( aElementOf0(esk17_3(X157,X158,X161),X158)
| ~ aFunction0(X161)
| szDzozmdt0(X161) != X158
| X161 = sdtexdt0(X157,X158)
| ~ aSubsetOf0(X158,szDzozmdt0(X157))
| ~ aFunction0(X157) )
& ( sdtlpdtrp0(X161,esk17_3(X157,X158,X161)) != sdtlpdtrp0(X157,esk17_3(X157,X158,X161))
| ~ aFunction0(X161)
| szDzozmdt0(X161) != X158
| X161 = sdtexdt0(X157,X158)
| ~ aSubsetOf0(X158,szDzozmdt0(X157))
| ~ aFunction0(X157) ) ),
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)],[mDefRst])])])])])]) ).
cnf(c_0_105,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_106,hypothesis,
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,hypothesis,
( isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ isFinite0(xY)
| ~ aSet0(xY) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(xY) ),
inference(spm,[status(thm)],[c_0_40,c_0_96]) ).
cnf(c_0_109,hypothesis,
( aSet0(xY)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_81])]) ).
cnf(c_0_110,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_65]),c_0_70])]) ).
cnf(c_0_111,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_99]),c_0_100])]) ).
cnf(c_0_112,plain,
( aSubsetOf0(slcrc0,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_61])]) ).
cnf(c_0_113,hypothesis,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_99]),c_0_100])]) ).
cnf(c_0_114,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_103]) ).
fof(c_0_115,plain,
! [X132] :
( ~ aFunction0(X132)
| aSet0(szDzozmdt0(X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_116,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_117,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_118,hypothesis,
( isFinite0(xY)
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_105,c_0_67]) ).
cnf(c_0_119,hypothesis,
( ~ isFinite0(xY)
| ~ aSet0(xY) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_81])]),c_0_108]) ).
cnf(c_0_120,hypothesis,
aSet0(xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_81])]) ).
cnf(c_0_121,hypothesis,
aSubsetOf0(slcrc0,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).
cnf(c_0_122,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_123,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_114,c_0_42]),c_0_66]) ).
cnf(c_0_124,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_125,plain,
( szDzozmdt0(sdtexdt0(X1,X2)) = X2
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_126,plain,
( aFunction0(sdtexdt0(X1,X2))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_117]) ).
fof(c_0_127,hypothesis,
! [X182,X183] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X182))
| ~ aElementOf0(X182,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X182)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X182),szmzizndt0(sdtlpdtrp0(xN,X182))),xk)
| ~ aElementOf0(X182,szNzAzT0) )
& ( ~ aSet0(X183)
| ~ aElementOf0(X183,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X182),szmzizndt0(sdtlpdtrp0(xN,X182))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X182),X183) = sdtlpdtrp0(xc,sdtpldt0(X183,szmzizndt0(sdtlpdtrp0(xN,X182))))
| ~ aElementOf0(X182,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
cnf(c_0_128,hypothesis,
( isFinite0(xY)
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_118,c_0_83]) ).
cnf(c_0_129,hypothesis,
~ isFinite0(xY),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_130,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_121]),c_0_100])]) ).
cnf(c_0_131,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_132,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_55,c_0_65]),c_0_70])]) ).
cnf(c_0_133,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_66]) ).
fof(c_0_134,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_135,plain,
! [X7,X8] :
( ~ aSet0(X7)
| ~ aElementOf0(X8,X7)
| aElement0(X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_136,plain,
( aSet0(X1)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szDzozmdt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_137,hypothesis,
szDzozmdt0(xC) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_138,hypothesis,
aFunction0(xC),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,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_128,c_0_98]),c_0_81])]),c_0_129]) ).
cnf(c_0_140,hypothesis,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_130]),c_0_131]),c_0_100])]) ).
cnf(c_0_141,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_130]),c_0_100])]) ).
cnf(c_0_142,hypothesis,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X1),X2),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_110]) ).
cnf(c_0_143,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_144,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_145,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]) ).
cnf(c_0_146,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),slcrc0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_147,hypothesis,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_67]),c_0_81])]),c_0_143]) ).
cnf(c_0_148,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_85]),c_0_145]) ).
cnf(c_0_149,hypothesis,
sdtlpdtrp0(xN,xi) != slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_56]),c_0_61])]) ).
cnf(c_0_150,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_151,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_65]),c_0_81])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : NUM590+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.15 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n015.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 2400
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Oct 2 14:31:31 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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.cXunxos3mK/E---3.1_15926.p
% 49.14/6.97 # Version: 3.1pre001
% 49.14/6.97 # Preprocessing class: FSLSSMSMSSSNFFN.
% 49.14/6.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/6.97 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 49.14/6.97 # Starting new_bool_3 with 300s (1) cores
% 49.14/6.97 # Starting new_bool_1 with 300s (1) cores
% 49.14/6.97 # Starting sh5l with 300s (1) cores
% 49.14/6.97 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 16009 completed with status 0
% 49.14/6.97 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 49.14/6.97 # Preprocessing class: FSLSSMSMSSSNFFN.
% 49.14/6.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/6.97 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 49.14/6.97 # No SInE strategy applied
% 49.14/6.97 # Search class: FGHSF-FSLM32-MFFFFFNN
% 49.14/6.97 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 49.14/6.97 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 49.14/6.97 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 49.14/6.97 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 49.14/6.97 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 151s (1) cores
% 49.14/6.97 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 146s (1) cores
% 49.14/6.97 # G-E--_302_C18_F1_URBAN_S0Y with pid 16015 completed with status 0
% 49.14/6.97 # Result found by G-E--_302_C18_F1_URBAN_S0Y
% 49.14/6.97 # Preprocessing class: FSLSSMSMSSSNFFN.
% 49.14/6.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/6.97 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 49.14/6.97 # No SInE strategy applied
% 49.14/6.97 # Search class: FGHSF-FSLM32-MFFFFFNN
% 49.14/6.97 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 49.14/6.97 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 49.14/6.97 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 49.14/6.97 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 49.14/6.97 # Preprocessing time : 0.004 s
% 49.14/6.97
% 49.14/6.97 # Proof found!
% 49.14/6.97 # SZS status Theorem
% 49.14/6.97 # SZS output start CNFRefutation
% See solution above
% 49.14/6.97 # Parsed axioms : 92
% 49.14/6.97 # Removed by relevancy pruning/SinE : 0
% 49.14/6.97 # Initial clauses : 182
% 49.14/6.97 # Removed in clause preprocessing : 7
% 49.14/6.97 # Initial clauses in saturation : 175
% 49.14/6.97 # Processed clauses : 9080
% 49.14/6.97 # ...of these trivial : 185
% 49.14/6.97 # ...subsumed : 5132
% 49.14/6.97 # ...remaining for further processing : 3763
% 49.14/6.97 # Other redundant clauses eliminated : 37
% 49.14/6.97 # Clauses deleted for lack of memory : 0
% 49.14/6.97 # Backward-subsumed : 450
% 49.14/6.97 # Backward-rewritten : 91
% 49.14/6.97 # Generated clauses : 142485
% 49.14/6.97 # ...of the previous two non-redundant : 136672
% 49.14/6.97 # ...aggressively subsumed : 0
% 49.14/6.97 # Contextual simplify-reflections : 1069
% 49.14/6.97 # Paramodulations : 142178
% 49.14/6.97 # Factorizations : 0
% 49.14/6.97 # NegExts : 0
% 49.14/6.97 # Equation resolutions : 303
% 49.14/6.97 # Total rewrite steps : 71659
% 49.14/6.97 # Propositional unsat checks : 0
% 49.14/6.97 # Propositional check models : 0
% 49.14/6.97 # Propositional check unsatisfiable : 0
% 49.14/6.97 # Propositional clauses : 0
% 49.14/6.97 # Propositional clauses after purity: 0
% 49.14/6.97 # Propositional unsat core size : 0
% 49.14/6.97 # Propositional preprocessing time : 0.000
% 49.14/6.97 # Propositional encoding time : 0.000
% 49.14/6.97 # Propositional solver time : 0.000
% 49.14/6.97 # Success case prop preproc time : 0.000
% 49.14/6.97 # Success case prop encoding time : 0.000
% 49.14/6.97 # Success case prop solver time : 0.000
% 49.14/6.97 # Current number of processed clauses : 3215
% 49.14/6.97 # Positive orientable unit clauses : 116
% 49.14/6.97 # Positive unorientable unit clauses: 0
% 49.14/6.97 # Negative unit clauses : 80
% 49.14/6.97 # Non-unit-clauses : 3019
% 49.14/6.97 # Current number of unprocessed clauses: 126643
% 49.14/6.97 # ...number of literals in the above : 959823
% 49.14/6.97 # Current number of archived formulas : 0
% 49.14/6.97 # Current number of archived clauses : 545
% 49.14/6.97 # Clause-clause subsumption calls (NU) : 1921241
% 49.14/6.97 # Rec. Clause-clause subsumption calls : 168575
% 49.14/6.97 # Non-unit clause-clause subsumptions : 4261
% 49.14/6.97 # Unit Clause-clause subsumption calls : 49952
% 49.14/6.97 # Rewrite failures with RHS unbound : 0
% 49.14/6.97 # BW rewrite match attempts : 33
% 49.14/6.97 # BW rewrite match successes : 22
% 49.14/6.97 # Condensation attempts : 0
% 49.14/6.97 # Condensation successes : 0
% 49.14/6.97 # Termbank termtop insertions : 3576334
% 49.14/6.97
% 49.14/6.97 # -------------------------------------------------
% 49.14/6.97 # User time : 6.124 s
% 49.14/6.97 # System time : 0.132 s
% 49.14/6.97 # Total time : 6.257 s
% 49.14/6.97 # Maximum resident set size: 2368 pages
% 49.14/6.97
% 49.14/6.97 # -------------------------------------------------
% 49.14/6.97 # User time : 30.024 s
% 49.14/6.97 # System time : 0.697 s
% 49.14/6.97 # Total time : 30.721 s
% 49.14/6.97 # Maximum resident set size: 1796 pages
% 49.14/6.97 % E---3.1 exiting
% 49.14/6.97 % E---3.1 exiting
%------------------------------------------------------------------------------