TSTP Solution File: NUM588+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 0.17s 0.53s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 11 unt; 0 def)
% Number of atoms : 339 ( 66 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 460 ( 190 ~; 195 |; 50 &)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn; 58 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mDefSel) ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',m__) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',m__3533) ).
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.qSrtA9ixUD/E---3.1_31792.p',mDefSub) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mSubTrans) ).
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.qSrtA9ixUD/E---3.1_31792.p',mDefDiff) ).
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.qSrtA9ixUD/E---3.1_31792.p',mDefMin) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mEOfElem) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',m__3671) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mDefEmp) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mNATSet) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/tmp.qSrtA9ixUD/E---3.1_31792.p',mCountNFin_01) ).
fof(c_0_12,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( aSet0(X40)
| X40 != slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( aSubsetOf0(X41,X38)
| ~ aElementOf0(X41,X40)
| X40 != slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( sbrdtbr0(X41) = X39
| ~ aElementOf0(X41,X40)
| X40 != slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( ~ aSubsetOf0(X42,X38)
| sbrdtbr0(X42) != X39
| aElementOf0(X42,X40)
| X40 != slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( ~ aElementOf0(esk6_3(X38,X39,X43),X43)
| ~ aSubsetOf0(esk6_3(X38,X39,X43),X38)
| sbrdtbr0(esk6_3(X38,X39,X43)) != X39
| ~ aSet0(X43)
| X43 = slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( aSubsetOf0(esk6_3(X38,X39,X43),X38)
| aElementOf0(esk6_3(X38,X39,X43),X43)
| ~ aSet0(X43)
| X43 = slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,szNzAzT0) )
& ( sbrdtbr0(esk6_3(X38,X39,X43)) = X39
| aElementOf0(esk6_3(X38,X39,X43),X43)
| ~ aSet0(X43)
| X43 = slbdtsldtrb0(X38,X39)
| ~ aSet0(X38)
| ~ aElementOf0(X39,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)],[mDefSel])])])])])]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_14,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,negated_conjecture,
( aElementOf0(esk1_0,szNzAzT0)
& aSubsetOf0(esk2_0,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
& isCountable0(esk2_0)
& aSet0(esk3_0)
& aElementOf0(esk3_0,slbdtsldtrb0(esk2_0,xk))
& ~ aElementOf0(esk3_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))),xk)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_16,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk3_0,slbdtsldtrb0(esk2_0,xk)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
fof(c_0_20,plain,
! [X12,X13,X14,X15] :
( ( aSet0(X13)
| ~ aSubsetOf0(X13,X12)
| ~ aSet0(X12) )
& ( ~ aElementOf0(X14,X13)
| aElementOf0(X14,X12)
| ~ aSubsetOf0(X13,X12)
| ~ aSet0(X12) )
& ( aElementOf0(esk4_2(X12,X15),X15)
| ~ aSet0(X15)
| aSubsetOf0(X15,X12)
| ~ aSet0(X12) )
& ( ~ aElementOf0(esk4_2(X12,X15),X12)
| ~ aSet0(X15)
| aSubsetOf0(X15,X12)
| ~ aSet0(X12) ) ),
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_21,plain,
! [X133,X134,X135] :
( ~ aSet0(X133)
| ~ aSet0(X134)
| ~ aSet0(X135)
| ~ aSubsetOf0(X133,X134)
| ~ aSubsetOf0(X134,X135)
| aSubsetOf0(X133,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
cnf(c_0_22,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
( sbrdtbr0(esk3_0) = xk
| ~ aSet0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
aSubsetOf0(esk2_0,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
~ aElementOf0(esk3_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))),xk)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(esk3_0,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(esk3_0,X1)
| ~ aSet0(esk2_0)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
( aSet0(esk2_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_26,c_0_24]),c_0_24]) ).
fof(c_0_31,plain,
! [X68,X69,X70,X71,X72,X73] :
( ( aSet0(X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElement0(X71)
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElementOf0(X71,X68)
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( X71 != X69
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( ~ aElement0(X72)
| ~ aElementOf0(X72,X68)
| X72 = X69
| aElementOf0(X72,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( ~ aElementOf0(esk10_3(X68,X69,X73),X73)
| ~ aElement0(esk10_3(X68,X69,X73))
| ~ aElementOf0(esk10_3(X68,X69,X73),X68)
| esk10_3(X68,X69,X73) = X69
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElement0(esk10_3(X68,X69,X73))
| aElementOf0(esk10_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElementOf0(esk10_3(X68,X69,X73),X68)
| aElementOf0(esk10_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( esk10_3(X68,X69,X73) != X69
| aElementOf0(esk10_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) ) ),
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_32,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(esk11_2(X86,X89),X86)
| ~ aElementOf0(X89,X86)
| X89 = szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( ~ sdtlseqdt0(X89,esk11_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_33,negated_conjecture,
( ~ aSubsetOf0(esk3_0,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
| ~ aSubsetOf0(X1,esk2_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_35,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X10,X11] :
( ~ aSet0(X10)
| ~ aElementOf0(X11,X10)
| aElement0(X11) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_37,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ~ aSubsetOf0(esk3_0,esk2_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
( ~ aSubsetOf0(esk3_0,esk2_0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk1_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk1_0),szNzAzT0)
| ~ aSubsetOf0(esk3_0,esk2_0)
| ~ aSet0(sdtlpdtrp0(xN,esk1_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( aSubsetOf0(esk3_0,esk2_0)
| ~ aSet0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_18]),c_0_19])]) ).
fof(c_0_48,hypothesis,
! [X119] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X119),szNzAzT0)
| ~ aElementOf0(X119,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X119))
| ~ aElementOf0(X119,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(c_0_49,plain,
! [X122,X123,X124] :
( ( aSet0(X122)
| X122 != slcrc0 )
& ( ~ aElementOf0(X123,X122)
| X122 != slcrc0 )
& ( ~ aSet0(X124)
| aElementOf0(esk18_1(X124),X124)
| X124 = 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_50,negated_conjecture,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk1_0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,esk1_0))
| ~ aSet0(esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
aElementOf0(esk1_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_53,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_54,plain,
! [X127] :
( ~ aSet0(X127)
| ~ isCountable0(X127)
| X127 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_55,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,hypothesis,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,esk1_0))
| ~ aSet0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_57,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_53])]) ).
cnf(c_0_58,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_60,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,hypothesis,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSet0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_52])]) ).
cnf(c_0_62,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_58]),c_0_59])]) ).
cnf(c_0_63,negated_conjecture,
( aSet0(esk2_0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk1_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
cnf(c_0_64,hypothesis,
~ aSet0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_52])]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk1_0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_44]),c_0_64]) ).
cnf(c_0_66,hypothesis,
( sdtlpdtrp0(xN,esk1_0) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_51]),c_0_52])]) ).
cnf(c_0_67,hypothesis,
sdtlpdtrp0(xN,esk1_0) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_57]),c_0_52])]) ).
cnf(c_0_68,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_52])]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 14:55:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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.qSrtA9ixUD/E---3.1_31792.p
% 0.17/0.53 # Version: 3.1pre001
% 0.17/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.53 # Starting sh5l with 300s (1) cores
% 0.17/0.53 # sh5l with pid 31874 completed with status 0
% 0.17/0.53 # Result found by sh5l
% 0.17/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.53 # Starting sh5l with 300s (1) cores
% 0.17/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.53 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.17/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.17/0.53 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31880 completed with status 0
% 0.17/0.53 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.53 # Starting sh5l with 300s (1) cores
% 0.17/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.53 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.17/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.17/0.53 # Preprocessing time : 0.003 s
% 0.17/0.53 # Presaturation interreduction done
% 0.17/0.53
% 0.17/0.53 # Proof found!
% 0.17/0.53 # SZS status Theorem
% 0.17/0.53 # SZS output start CNFRefutation
% See solution above
% 0.17/0.53 # Parsed axioms : 88
% 0.17/0.53 # Removed by relevancy pruning/SinE : 2
% 0.17/0.53 # Initial clauses : 173
% 0.17/0.53 # Removed in clause preprocessing : 7
% 0.17/0.53 # Initial clauses in saturation : 166
% 0.17/0.53 # Processed clauses : 609
% 0.17/0.53 # ...of these trivial : 3
% 0.17/0.53 # ...subsumed : 61
% 0.17/0.53 # ...remaining for further processing : 545
% 0.17/0.53 # Other redundant clauses eliminated : 43
% 0.17/0.53 # Clauses deleted for lack of memory : 0
% 0.17/0.53 # Backward-subsumed : 32
% 0.17/0.53 # Backward-rewritten : 17
% 0.17/0.53 # Generated clauses : 1167
% 0.17/0.53 # ...of the previous two non-redundant : 1045
% 0.17/0.53 # ...aggressively subsumed : 0
% 0.17/0.53 # Contextual simplify-reflections : 30
% 0.17/0.53 # Paramodulations : 1127
% 0.17/0.53 # Factorizations : 0
% 0.17/0.53 # NegExts : 0
% 0.17/0.53 # Equation resolutions : 45
% 0.17/0.53 # Total rewrite steps : 705
% 0.17/0.53 # Propositional unsat checks : 0
% 0.17/0.53 # Propositional check models : 0
% 0.17/0.53 # Propositional check unsatisfiable : 0
% 0.17/0.53 # Propositional clauses : 0
% 0.17/0.53 # Propositional clauses after purity: 0
% 0.17/0.53 # Propositional unsat core size : 0
% 0.17/0.53 # Propositional preprocessing time : 0.000
% 0.17/0.53 # Propositional encoding time : 0.000
% 0.17/0.53 # Propositional solver time : 0.000
% 0.17/0.53 # Success case prop preproc time : 0.000
% 0.17/0.53 # Success case prop encoding time : 0.000
% 0.17/0.53 # Success case prop solver time : 0.000
% 0.17/0.53 # Current number of processed clauses : 298
% 0.17/0.53 # Positive orientable unit clauses : 56
% 0.17/0.53 # Positive unorientable unit clauses: 0
% 0.17/0.53 # Negative unit clauses : 15
% 0.17/0.53 # Non-unit-clauses : 227
% 0.17/0.53 # Current number of unprocessed clauses: 725
% 0.17/0.53 # ...number of literals in the above : 4040
% 0.17/0.53 # Current number of archived formulas : 0
% 0.17/0.53 # Current number of archived clauses : 214
% 0.17/0.53 # Clause-clause subsumption calls (NU) : 15535
% 0.17/0.53 # Rec. Clause-clause subsumption calls : 5324
% 0.17/0.53 # Non-unit clause-clause subsumptions : 78
% 0.17/0.53 # Unit Clause-clause subsumption calls : 1638
% 0.17/0.53 # Rewrite failures with RHS unbound : 0
% 0.17/0.53 # BW rewrite match attempts : 2
% 0.17/0.53 # BW rewrite match successes : 2
% 0.17/0.53 # Condensation attempts : 0
% 0.17/0.53 # Condensation successes : 0
% 0.17/0.53 # Termbank termtop insertions : 35588
% 0.17/0.53
% 0.17/0.53 # -------------------------------------------------
% 0.17/0.53 # User time : 0.061 s
% 0.17/0.53 # System time : 0.008 s
% 0.17/0.53 # Total time : 0.069 s
% 0.17/0.53 # Maximum resident set size: 2388 pages
% 0.17/0.53
% 0.17/0.53 # -------------------------------------------------
% 0.17/0.53 # User time : 0.065 s
% 0.17/0.53 # System time : 0.009 s
% 0.17/0.53 # Total time : 0.074 s
% 0.17/0.53 # Maximum resident set size: 1792 pages
% 0.17/0.53 % E---3.1 exiting
% 0.17/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------