TSTP Solution File: NUM580+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM580+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 18:56:27 EDT 2023
% Result : Theorem 1.23s 0.68s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 16 unt; 0 def)
% Number of atoms : 429 ( 106 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 574 ( 236 ~; 251 |; 55 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-3 aty)
% Number of variables : 127 ( 0 sgn; 67 !; 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/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDefSel) ).
fof(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDefRst) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDefSub) ).
fof(m__3989_02,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__3989_02) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__3533) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.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/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDefMin) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDomSet) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mEOfElem) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__3623) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mDefEmp) ).
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mCardCons) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__3671) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mCountNFin_01) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',mCardNum) ).
fof(m__,conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p',m__3989) ).
fof(c_0_17,plain,
! [X112,X113,X114,X115,X116,X117] :
( ( aSet0(X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(X115,X112)
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(X115) = X113
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aSubsetOf0(X116,X112)
| sbrdtbr0(X116) != X113
| aElementOf0(X116,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSubsetOf0(esk11_3(X112,X113,X117),X112)
| sbrdtbr0(esk11_3(X112,X113,X117)) != X113
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X112,X113,X117),X112)
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X112,X113,X117)) = X113
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,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])])])])])]) ).
cnf(c_0_18,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_19,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])])])])])]) ).
fof(c_0_20,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])])])])])]) ).
cnf(c_0_21,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(split_conjunct,[status(thm)],[m__3989_02]) ).
cnf(c_0_23,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
fof(c_0_24,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_25,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_26,plain,
! [X132] :
( ~ aFunction0(X132)
| aSet0(szDzozmdt0(X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_27,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,hypothesis,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_32,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,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_34,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( szDzozmdt0(sdtexdt0(X1,X2)) = X2
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( aFunction0(sdtexdt0(X1,X2))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_28]) ).
fof(c_0_38,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])])])]) ).
cnf(c_0_39,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_40,hypothesis,
( aSet0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( aSet0(X1)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szDzozmdt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_45,hypothesis,
szDzozmdt0(xN) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,hypothesis,
aFunction0(xN),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,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_48,hypothesis,
( sbrdtbr0(xQ) = xk
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_23])]) ).
fof(c_0_49,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mCardCons]) ).
cnf(c_0_50,hypothesis,
( aSet0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
fof(c_0_53,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])])]) ).
fof(c_0_54,plain,
! [X14] :
( ~ aSet0(X14)
| ~ isCountable0(X14)
| X14 != 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_47]) ).
fof(c_0_56,plain,
! [X75] :
( ( ~ aElementOf0(sbrdtbr0(X75),szNzAzT0)
| isFinite0(X75)
| ~ aSet0(X75) )
& ( ~ isFinite0(X75)
| aElementOf0(sbrdtbr0(X75),szNzAzT0)
| ~ aSet0(X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
cnf(c_0_57,hypothesis,
( sbrdtbr0(xQ) = xk
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
cnf(c_0_58,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_59,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_60,plain,
! [X77,X78] :
( ~ aSet0(X77)
| ~ isFinite0(X77)
| ~ aElement0(X78)
| aElementOf0(X78,X77)
| sbrdtbr0(sdtpldt0(X77,X78)) = szszuzczcdt0(sbrdtbr0(X77)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
cnf(c_0_61,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| aSet0(xQ)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_62,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3989]) ).
cnf(c_0_64,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| sbrdtbr0(xQ) = xk
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_51]),c_0_52]) ).
cnf(c_0_68,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_69,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
cnf(c_0_70,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| aSet0(xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_74,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_64]),c_0_65])]) ).
cnf(c_0_75,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| isFinite0(xQ)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_23])]) ).
cnf(c_0_76,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])]) ).
cnf(c_0_77,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_69,c_0_41]) ).
cnf(c_0_78,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| szszuzczcdt0(sbrdtbr0(xQ)) != xK
| ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,hypothesis,
aSet0(xQ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63])]),c_0_74]) ).
cnf(c_0_80,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_62]),c_0_63])]) ).
cnf(c_0_81,hypothesis,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| szszuzczcdt0(sbrdtbr0(xQ)) != xK
| ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_83,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| isFinite0(xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_79])]) ).
cnf(c_0_84,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_51]),c_0_52]) ).
cnf(c_0_85,negated_conjecture,
( sdtlpdtrp0(xN,xi) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| szszuzczcdt0(sbrdtbr0(xQ)) != xK
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_52]),c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( sdtlpdtrp0(xN,xi) = slcrc0
| szszuzczcdt0(sbrdtbr0(xQ)) != xK
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_88,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_67]),c_0_87])]) ).
cnf(c_0_89,hypothesis,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_62]),c_0_63])]) ).
cnf(c_0_90,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_89]),c_0_63])]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM580+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 14:27:45 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.brevakG5hk/E---3.1_18929.p
% 1.23/0.68 # Version: 3.1pre001
% 1.23/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.23/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.23/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.23/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.23/0.68 # Starting sh5l with 300s (1) cores
% 1.23/0.68 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19078 completed with status 0
% 1.23/0.68 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.23/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.23/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.23/0.68 # No SInE strategy applied
% 1.23/0.68 # Search class: FGHSF-FSLM32-MFFFFFNN
% 1.23/0.68 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.23/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 1.23/0.68 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 1.23/0.68 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 1.23/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 151s (1) cores
% 1.23/0.68 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 146s (1) cores
% 1.23/0.68 # G-E--_300_C18_F1_SE_CS_SP_S0Y with pid 19084 completed with status 0
% 1.23/0.68 # Result found by G-E--_300_C18_F1_SE_CS_SP_S0Y
% 1.23/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.23/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.23/0.68 # No SInE strategy applied
% 1.23/0.68 # Search class: FGHSF-FSLM32-MFFFFFNN
% 1.23/0.68 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.23/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 1.23/0.68 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 1.23/0.68 # Preprocessing time : 0.006 s
% 1.23/0.68
% 1.23/0.68 # Proof found!
% 1.23/0.68 # SZS status Theorem
% 1.23/0.68 # SZS output start CNFRefutation
% See solution above
% 1.23/0.68 # Parsed axioms : 87
% 1.23/0.68 # Removed by relevancy pruning/SinE : 0
% 1.23/0.68 # Initial clauses : 172
% 1.23/0.68 # Removed in clause preprocessing : 7
% 1.23/0.68 # Initial clauses in saturation : 165
% 1.23/0.68 # Processed clauses : 1158
% 1.23/0.68 # ...of these trivial : 2
% 1.23/0.68 # ...subsumed : 470
% 1.23/0.68 # ...remaining for further processing : 686
% 1.23/0.68 # Other redundant clauses eliminated : 51
% 1.23/0.68 # Clauses deleted for lack of memory : 0
% 1.23/0.68 # Backward-subsumed : 49
% 1.23/0.68 # Backward-rewritten : 30
% 1.23/0.68 # Generated clauses : 2739
% 1.23/0.68 # ...of the previous two non-redundant : 2439
% 1.23/0.68 # ...aggressively subsumed : 0
% 1.23/0.68 # Contextual simplify-reflections : 99
% 1.23/0.68 # Paramodulations : 2686
% 1.23/0.68 # Factorizations : 0
% 1.23/0.68 # NegExts : 0
% 1.23/0.68 # Equation resolutions : 53
% 1.23/0.68 # Total rewrite steps : 1766
% 1.23/0.68 # Propositional unsat checks : 0
% 1.23/0.68 # Propositional check models : 0
% 1.23/0.68 # Propositional check unsatisfiable : 0
% 1.23/0.68 # Propositional clauses : 0
% 1.23/0.68 # Propositional clauses after purity: 0
% 1.23/0.68 # Propositional unsat core size : 0
% 1.23/0.68 # Propositional preprocessing time : 0.000
% 1.23/0.68 # Propositional encoding time : 0.000
% 1.23/0.68 # Propositional solver time : 0.000
% 1.23/0.68 # Success case prop preproc time : 0.000
% 1.23/0.68 # Success case prop encoding time : 0.000
% 1.23/0.68 # Success case prop solver time : 0.000
% 1.23/0.68 # Current number of processed clauses : 564
% 1.23/0.68 # Positive orientable unit clauses : 62
% 1.23/0.68 # Positive unorientable unit clauses: 0
% 1.23/0.68 # Negative unit clauses : 28
% 1.23/0.68 # Non-unit-clauses : 474
% 1.23/0.68 # Current number of unprocessed clauses: 1310
% 1.23/0.68 # ...number of literals in the above : 6934
% 1.23/0.68 # Current number of archived formulas : 0
% 1.23/0.68 # Current number of archived clauses : 84
% 1.23/0.68 # Clause-clause subsumption calls (NU) : 28987
% 1.23/0.68 # Rec. Clause-clause subsumption calls : 12949
% 1.23/0.68 # Non-unit clause-clause subsumptions : 367
% 1.23/0.68 # Unit Clause-clause subsumption calls : 2953
% 1.23/0.68 # Rewrite failures with RHS unbound : 0
% 1.23/0.68 # BW rewrite match attempts : 12
% 1.23/0.68 # BW rewrite match successes : 12
% 1.23/0.68 # Condensation attempts : 0
% 1.23/0.68 # Condensation successes : 0
% 1.23/0.68 # Termbank termtop insertions : 56404
% 1.23/0.68
% 1.23/0.68 # -------------------------------------------------
% 1.23/0.68 # User time : 0.137 s
% 1.23/0.68 # System time : 0.012 s
% 1.23/0.68 # Total time : 0.149 s
% 1.23/0.68 # Maximum resident set size: 2336 pages
% 1.23/0.68
% 1.23/0.68 # -------------------------------------------------
% 1.23/0.68 # User time : 0.596 s
% 1.23/0.68 # System time : 0.047 s
% 1.23/0.68 # Total time : 0.643 s
% 1.23/0.68 # Maximum resident set size: 1788 pages
% 1.23/0.68 % E---3.1 exiting
% 1.23/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------