TSTP Solution File: NUM619+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM619+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 19:08:00 EDT 2023
% Result : Theorem 2.25s 0.73s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 110 ( 30 unt; 0 def)
% Number of atoms : 411 ( 98 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 504 ( 203 ~; 226 |; 51 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-3 aty)
% Number of variables : 128 ( 0 sgn; 60 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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.ufL829eZzT/E---3.1_23809.p',mDefMin) ).
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.ufL829eZzT/E---3.1_23809.p',mDefSub) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__3671) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__3754) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mNATSet) ).
fof(m__5401,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5401) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5389) ).
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.ufL829eZzT/E---3.1_23809.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/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mDefDiff) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mEOfElem) ).
fof(m__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5106) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__4660) ).
fof(m__,conjecture,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mLessTotal) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5164) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5147) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5173) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mLessASymm) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5093) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5309) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mSuccNum) ).
fof(m__5348,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',m__5348) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mCountNFin_01) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p',mDefEmp) ).
fof(c_0_24,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])])])])])]) ).
fof(c_0_25,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_26,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_27,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,hypothesis,
! [X176,X177] :
( ~ aElementOf0(X176,szNzAzT0)
| ~ aElementOf0(X177,szNzAzT0)
| ~ sdtlseqdt0(X177,X176)
| aSubsetOf0(sdtlpdtrp0(xN,X176),sdtlpdtrp0(xN,X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).
cnf(c_0_29,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_32,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_33,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5401]) ).
cnf(c_0_34,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_37,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
fof(c_0_39,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])])])])])]) ).
cnf(c_0_40,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_41,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_38])]) ).
cnf(c_0_42,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,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_44,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_45,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5106]) ).
fof(c_0_46,hypothesis,
! [X195] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X195,szNzAzT0)
| sdtlpdtrp0(xe,X195) = szmzizndt0(sdtlpdtrp0(xN,X195)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
fof(c_0_47,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_48,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38])]) ).
cnf(c_0_49,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_51,plain,
! [X71,X72] :
( ~ aElementOf0(X71,szNzAzT0)
| ~ aElementOf0(X72,szNzAzT0)
| sdtlseqdt0(X71,X72)
| sdtlseqdt0(szszuzczcdt0(X72),X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_52,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_55,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
cnf(c_0_56,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_58,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_31])]) ).
cnf(c_0_59,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_38])]) ).
cnf(c_0_62,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_64,plain,
! [X66,X67] :
( ~ aElementOf0(X66,szNzAzT0)
| ~ aElementOf0(X67,szNzAzT0)
| ~ sdtlseqdt0(X66,X67)
| ~ sdtlseqdt0(X67,X66)
| X66 = X67 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_65,plain,
( X1 = slcrc0
| sdtlseqdt0(szmzizndt0(X1),X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_66,hypothesis,
xQ != slcrc0,
inference(split_conjunct,[status(thm)],[m__5093]) ).
cnf(c_0_67,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_31])]) ).
cnf(c_0_68,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_69,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_71,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_30]) ).
cnf(c_0_72,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_73,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_74,negated_conjecture,
( sdtlpdtrp0(xN,xm) = slcrc0
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_75,plain,
( sdtlseqdt0(X1,X2)
| aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_76,plain,
! [X54] :
( ( aElementOf0(szszuzczcdt0(X54),szNzAzT0)
| ~ aElementOf0(X54,szNzAzT0) )
& ( szszuzczcdt0(X54) != sz00
| ~ aElementOf0(X54,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_78,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_45])]),c_0_66]) ).
cnf(c_0_79,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_80,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_30]) ).
cnf(c_0_81,hypothesis,
xx = sdtlpdtrp0(xe,xm),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_82,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_58])]) ).
cnf(c_0_83,hypothesis,
aElementOf0(xx,xP),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_84,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_85,negated_conjecture,
( sdtlpdtrp0(xN,xm) = slcrc0
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_38]),c_0_73])]) ).
cnf(c_0_86,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_87,plain,
! [X14] :
( ~ aSet0(X14)
| ~ isCountable0(X14)
| X14 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(c_0_88,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])])])])])]) ).
cnf(c_0_89,hypothesis,
( X1 = xp
| ~ sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xQ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]),c_0_67]) ).
cnf(c_0_90,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_38])]) ).
cnf(c_0_91,hypothesis,
aElementOf0(xx,xQ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_84]),c_0_73])]) ).
cnf(c_0_93,negated_conjecture,
( sdtlpdtrp0(xN,xm) = slcrc0
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_73])]) ).
cnf(c_0_94,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_95,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_97,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_98,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_38])]) ).
cnf(c_0_99,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_100,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_101,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_96])]) ).
cnf(c_0_102,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_105,hypothesis,
( ~ aElementOf0(xp,xP)
| ~ aElement0(xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_69]),c_0_58])]) ).
cnf(c_0_106,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| xp = xx ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_38])]),c_0_104]) ).
cnf(c_0_107,hypothesis,
~ aElementOf0(xp,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_70])]) ).
cnf(c_0_108,hypothesis,
xp = xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_106]),c_0_73])]),c_0_104]) ).
cnf(c_0_109,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM619+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 14:38:45 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ufL829eZzT/E---3.1_23809.p
% 2.25/0.73 # Version: 3.1pre001
% 2.25/0.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.73 # Starting new_bool_3 with 300s (1) cores
% 2.25/0.73 # Starting new_bool_1 with 300s (1) cores
% 2.25/0.73 # Starting sh5l with 300s (1) cores
% 2.25/0.73 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23887 completed with status 0
% 2.25/0.73 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.25/0.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.73 # No SInE strategy applied
% 2.25/0.73 # Search class: FGHSF-FSLM31-MFFFFFNN
% 2.25/0.73 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.73 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 2.25/0.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.25/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 2.25/0.73 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 2.25/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 2.25/0.73 # SAT001_MinMin_p005000_rr_RG with pid 23895 completed with status 0
% 2.25/0.73 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.25/0.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.73 # No SInE strategy applied
% 2.25/0.73 # Search class: FGHSF-FSLM31-MFFFFFNN
% 2.25/0.73 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.73 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 2.25/0.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.25/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 2.25/0.73 # Preprocessing time : 0.003 s
% 2.25/0.73 # Presaturation interreduction done
% 2.25/0.73
% 2.25/0.73 # Proof found!
% 2.25/0.73 # SZS status Theorem
% 2.25/0.73 # SZS output start CNFRefutation
% See solution above
% 2.25/0.74 # Parsed axioms : 117
% 2.25/0.74 # Removed by relevancy pruning/SinE : 0
% 2.25/0.74 # Initial clauses : 225
% 2.25/0.74 # Removed in clause preprocessing : 7
% 2.25/0.74 # Initial clauses in saturation : 218
% 2.25/0.74 # Processed clauses : 2500
% 2.25/0.74 # ...of these trivial : 15
% 2.25/0.74 # ...subsumed : 1037
% 2.25/0.74 # ...remaining for further processing : 1448
% 2.25/0.74 # Other redundant clauses eliminated : 87
% 2.25/0.74 # Clauses deleted for lack of memory : 0
% 2.25/0.74 # Backward-subsumed : 81
% 2.25/0.74 # Backward-rewritten : 200
% 2.25/0.74 # Generated clauses : 6948
% 2.25/0.74 # ...of the previous two non-redundant : 6349
% 2.25/0.74 # ...aggressively subsumed : 0
% 2.25/0.74 # Contextual simplify-reflections : 188
% 2.25/0.74 # Paramodulations : 6862
% 2.25/0.74 # Factorizations : 0
% 2.25/0.74 # NegExts : 0
% 2.25/0.74 # Equation resolutions : 91
% 2.25/0.74 # Total rewrite steps : 5365
% 2.25/0.74 # Propositional unsat checks : 0
% 2.25/0.74 # Propositional check models : 0
% 2.25/0.74 # Propositional check unsatisfiable : 0
% 2.25/0.74 # Propositional clauses : 0
% 2.25/0.74 # Propositional clauses after purity: 0
% 2.25/0.74 # Propositional unsat core size : 0
% 2.25/0.74 # Propositional preprocessing time : 0.000
% 2.25/0.74 # Propositional encoding time : 0.000
% 2.25/0.74 # Propositional solver time : 0.000
% 2.25/0.74 # Success case prop preproc time : 0.000
% 2.25/0.74 # Success case prop encoding time : 0.000
% 2.25/0.74 # Success case prop solver time : 0.000
% 2.25/0.74 # Current number of processed clauses : 911
% 2.25/0.74 # Positive orientable unit clauses : 127
% 2.25/0.74 # Positive unorientable unit clauses: 0
% 2.25/0.74 # Negative unit clauses : 75
% 2.25/0.74 # Non-unit-clauses : 709
% 2.25/0.74 # Current number of unprocessed clauses: 4003
% 2.25/0.74 # ...number of literals in the above : 22567
% 2.25/0.74 # Current number of archived formulas : 0
% 2.25/0.74 # Current number of archived clauses : 497
% 2.25/0.74 # Clause-clause subsumption calls (NU) : 118618
% 2.25/0.74 # Rec. Clause-clause subsumption calls : 35558
% 2.25/0.74 # Non-unit clause-clause subsumptions : 792
% 2.25/0.74 # Unit Clause-clause subsumption calls : 5671
% 2.25/0.74 # Rewrite failures with RHS unbound : 0
% 2.25/0.74 # BW rewrite match attempts : 19
% 2.25/0.74 # BW rewrite match successes : 17
% 2.25/0.74 # Condensation attempts : 0
% 2.25/0.74 # Condensation successes : 0
% 2.25/0.74 # Termbank termtop insertions : 140565
% 2.25/0.74
% 2.25/0.74 # -------------------------------------------------
% 2.25/0.74 # User time : 0.259 s
% 2.25/0.74 # System time : 0.011 s
% 2.25/0.74 # Total time : 0.270 s
% 2.25/0.74 # Maximum resident set size: 2476 pages
% 2.25/0.74
% 2.25/0.74 # -------------------------------------------------
% 2.25/0.74 # User time : 1.360 s
% 2.25/0.74 # System time : 0.039 s
% 2.25/0.74 # Total time : 1.398 s
% 2.25/0.74 # Maximum resident set size: 1820 pages
% 2.25/0.74 % E---3.1 exiting
%------------------------------------------------------------------------------