TSTP Solution File: NUM628+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM628+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 19:08:03 EDT 2023
% Result : Theorem 18.20s 2.90s
% Output : CNFRefutation 18.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 80 ( 33 unt; 0 def)
% Number of atoms : 271 ( 66 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 309 ( 118 ~; 118 |; 53 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 16 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',mSuccNum) ).
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.NsCnAP2hRF/E---3.1_30023.p',mDefSel) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__3671) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5309) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__4660) ).
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.NsCnAP2hRF/E---3.1_30023.p',mDefSub) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__4151) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5217) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__3533) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',mNATSet) ).
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.NsCnAP2hRF/E---3.1_30023.p',m__3623) ).
fof(m__4331,hypothesis,
! [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/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__4331) ).
fof(m__5334,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5334) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__4730) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',mConsDiff) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5164) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5147) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5093) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__4891) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__5173) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p',m__) ).
fof(c_0_21,plain,
! [X171] :
( ( aElementOf0(szszuzczcdt0(X171),szNzAzT0)
| ~ aElementOf0(X171,szNzAzT0) )
& ( szszuzczcdt0(X171) != sz00
| ~ aElementOf0(X171,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_22,plain,
! [X140,X141,X142,X143,X144,X145] :
( ( aSet0(X142)
| X142 != slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( aSubsetOf0(X143,X140)
| ~ aElementOf0(X143,X142)
| X142 != slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( sbrdtbr0(X143) = X141
| ~ aElementOf0(X143,X142)
| X142 != slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( ~ aSubsetOf0(X144,X140)
| sbrdtbr0(X144) != X141
| aElementOf0(X144,X142)
| X142 != slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( ~ aElementOf0(esk17_3(X140,X141,X145),X145)
| ~ aSubsetOf0(esk17_3(X140,X141,X145),X140)
| sbrdtbr0(esk17_3(X140,X141,X145)) != X141
| ~ aSet0(X145)
| X145 = slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( aSubsetOf0(esk17_3(X140,X141,X145),X140)
| aElementOf0(esk17_3(X140,X141,X145),X145)
| ~ aSet0(X145)
| X145 = slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,szNzAzT0) )
& ( sbrdtbr0(esk17_3(X140,X141,X145)) = X141
| aElementOf0(esk17_3(X140,X141,X145),X145)
| ~ aSet0(X145)
| X145 = slbdtsldtrb0(X140,X141)
| ~ aSet0(X140)
| ~ aElementOf0(X141,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_23,hypothesis,
! [X34] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X34),szNzAzT0)
| ~ aElementOf0(X34,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X34))
| ~ aElementOf0(X34,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
cnf(c_0_24,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_26,hypothesis,
! [X116] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X116,szNzAzT0)
| sdtlpdtrp0(xe,X116) = szmzizndt0(sdtlpdtrp0(xN,X116)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
cnf(c_0_27,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_22]) ).
fof(c_0_28,plain,
! [X90,X91,X92,X93] :
( ( aSet0(X91)
| ~ aSubsetOf0(X91,X90)
| ~ aSet0(X90) )
& ( ~ aElementOf0(X92,X91)
| aElementOf0(X92,X90)
| ~ aSubsetOf0(X91,X90)
| ~ aSet0(X90) )
& ( aElementOf0(esk13_2(X90,X93),X93)
| ~ aSet0(X93)
| aSubsetOf0(X93,X90)
| ~ aSet0(X90) )
& ( ~ aElementOf0(esk13_2(X90,X93),X90)
| ~ aSet0(X93)
| aSubsetOf0(X93,X90)
| ~ aSet0(X90) ) ),
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_29,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,hypothesis,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,hypothesis,
! [X56,X57] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X56))
| ~ aElementOf0(X56,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X56)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X56),szmzizndt0(sdtlpdtrp0(xN,X56))),xk)
| ~ aElementOf0(X56,szNzAzT0) )
& ( ~ aSet0(X57)
| ~ aElementOf0(X57,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X56),szmzizndt0(sdtlpdtrp0(xN,X56))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X56),X57) = sdtlpdtrp0(xc,sdtpldt0(X57,szmzizndt0(sdtlpdtrp0(xN,X56))))
| ~ aElementOf0(X56,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_32,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_34,plain,
( aElementOf0(X1,X2)
| X2 != slbdtsldtrb0(X3,sbrdtbr0(X1))
| ~ aSubsetOf0(X1,X3)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),szNzAzT0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_40,hypothesis,
! [X33] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X33)),sdtmndt0(sdtlpdtrp0(xN,X33),szmzizndt0(sdtlpdtrp0(xN,X33))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X33),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X33))
| ~ aElementOf0(X33,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X33)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X33),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X33))
| ~ aElementOf0(X33,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_41,hypothesis,
! [X42,X43,X44] :
( ~ aElementOf0(X42,szNzAzT0)
| ~ aSubsetOf0(X43,sdtmndt0(sdtlpdtrp0(xN,X42),szmzizndt0(sdtlpdtrp0(xN,X42))))
| ~ isCountable0(X43)
| ~ aSet0(X44)
| ~ aElementOf0(X44,slbdtsldtrb0(X43,xk))
| aElementOf0(X44,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X42),szmzizndt0(sdtlpdtrp0(xN,X42))),xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4331])])]) ).
cnf(c_0_42,hypothesis,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_33]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(xP,X1)
| X1 != slbdtsldtrb0(X2,xk)
| ~ aSubsetOf0(xP,X2)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[m__5334]) ).
cnf(c_0_46,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_47,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_40]) ).
cnf(c_0_48,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_49,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_40]) ).
fof(c_0_50,hypothesis,
! [X52,X53] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X52,szNzAzT0)
| ~ aSet0(X53)
| ~ aElementOf0(X53,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X52)),xk))
| sdtlpdtrp0(xd,X52) = sdtlpdtrp0(sdtlpdtrp0(xC,X52),X53) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,hypothesis,
slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xk) = szDzozmdt0(sdtlpdtrp0(xC,xn)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_25]),c_0_43]) ).
cnf(c_0_53,hypothesis,
( aElementOf0(xP,X1)
| X1 != slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_54,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_47,c_0_48]),c_0_29]) ).
cnf(c_0_55,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_49,c_0_48]),c_0_29]) ).
fof(c_0_56,plain,
! [X183,X184] :
( ~ aSet0(X183)
| ~ aElementOf0(X184,X183)
| sdtpldt0(sdtmndt0(X183,X184),X184) = X183 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_57,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_58,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
cnf(c_0_59,hypothesis,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[m__5093]) ).
cnf(c_0_60,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_61,hypothesis,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_63,hypothesis,
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn)))
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),xp))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,xk))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_25]),c_0_43]),c_0_52]),c_0_43]) ).
cnf(c_0_64,hypothesis,
aElementOf0(xP,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk)),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_65,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),xp)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_25]),c_0_43]) ).
cnf(c_0_66,hypothesis,
isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_55,c_0_25]) ).
cnf(c_0_67,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_68,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_70,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_71,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_60])]) ).
cnf(c_0_72,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1) = sdtlpdtrp0(xd,xn)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_25]) ).
fof(c_0_73,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_74,hypothesis,
( sdtlpdtrp0(xc,sdtpldt0(X1,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn)))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_43]),c_0_43]),c_0_52]) ).
cnf(c_0_75,hypothesis,
aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xP,xp) = xQ,
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_71])]) ).
cnf(c_0_77,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_67])]) ).
cnf(c_0_78,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]),c_0_67])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM628+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 14:57:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.NsCnAP2hRF/E---3.1_30023.p
% 18.20/2.90 # Version: 3.1pre001
% 18.20/2.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.20/2.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.20/2.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.20/2.90 # Starting new_bool_3 with 300s (1) cores
% 18.20/2.90 # Starting new_bool_1 with 300s (1) cores
% 18.20/2.90 # Starting sh5l with 300s (1) cores
% 18.20/2.90 # sh5l with pid 30104 completed with status 0
% 18.20/2.90 # Result found by sh5l
% 18.20/2.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.20/2.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.20/2.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.20/2.90 # Starting new_bool_3 with 300s (1) cores
% 18.20/2.90 # Starting new_bool_1 with 300s (1) cores
% 18.20/2.90 # Starting sh5l with 300s (1) cores
% 18.20/2.90 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.20/2.90 # Search class: FGHSF-FSLM31-MFFFFFNN
% 18.20/2.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.20/2.90 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 163s (1) cores
% 18.20/2.90 # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 30110 completed with status 0
% 18.20/2.90 # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 18.20/2.90 # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.20/2.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.20/2.90 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.20/2.90 # Starting new_bool_3 with 300s (1) cores
% 18.20/2.90 # Starting new_bool_1 with 300s (1) cores
% 18.20/2.90 # Starting sh5l with 300s (1) cores
% 18.20/2.90 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.20/2.90 # Search class: FGHSF-FSLM31-MFFFFFNN
% 18.20/2.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.20/2.90 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 163s (1) cores
% 18.20/2.90 # Preprocessing time : 0.005 s
% 18.20/2.90 # Presaturation interreduction done
% 18.20/2.90
% 18.20/2.90 # Proof found!
% 18.20/2.90 # SZS status Theorem
% 18.20/2.90 # SZS output start CNFRefutation
% See solution above
% 18.20/2.90 # Parsed axioms : 114
% 18.20/2.90 # Removed by relevancy pruning/SinE : 2
% 18.20/2.90 # Initial clauses : 211
% 18.20/2.90 # Removed in clause preprocessing : 7
% 18.20/2.90 # Initial clauses in saturation : 204
% 18.20/2.90 # Processed clauses : 8015
% 18.20/2.90 # ...of these trivial : 311
% 18.20/2.90 # ...subsumed : 1361
% 18.20/2.90 # ...remaining for further processing : 6343
% 18.20/2.90 # Other redundant clauses eliminated : 59
% 18.20/2.90 # Clauses deleted for lack of memory : 0
% 18.20/2.90 # Backward-subsumed : 50
% 18.20/2.90 # Backward-rewritten : 288
% 18.20/2.90 # Generated clauses : 101132
% 18.20/2.90 # ...of the previous two non-redundant : 97586
% 18.20/2.90 # ...aggressively subsumed : 0
% 18.20/2.90 # Contextual simplify-reflections : 117
% 18.20/2.90 # Paramodulations : 100844
% 18.20/2.90 # Factorizations : 36
% 18.20/2.90 # NegExts : 0
% 18.20/2.90 # Equation resolutions : 252
% 18.20/2.90 # Total rewrite steps : 38372
% 18.20/2.90 # Propositional unsat checks : 0
% 18.20/2.90 # Propositional check models : 0
% 18.20/2.90 # Propositional check unsatisfiable : 0
% 18.20/2.90 # Propositional clauses : 0
% 18.20/2.90 # Propositional clauses after purity: 0
% 18.20/2.90 # Propositional unsat core size : 0
% 18.20/2.90 # Propositional preprocessing time : 0.000
% 18.20/2.90 # Propositional encoding time : 0.000
% 18.20/2.90 # Propositional solver time : 0.000
% 18.20/2.90 # Success case prop preproc time : 0.000
% 18.20/2.90 # Success case prop encoding time : 0.000
% 18.20/2.90 # Success case prop solver time : 0.000
% 18.20/2.90 # Current number of processed clauses : 5800
% 18.20/2.90 # Positive orientable unit clauses : 2082
% 18.20/2.90 # Positive unorientable unit clauses: 0
% 18.20/2.90 # Negative unit clauses : 323
% 18.20/2.90 # Non-unit-clauses : 3395
% 18.20/2.90 # Current number of unprocessed clauses: 88668
% 18.20/2.90 # ...number of literals in the above : 509879
% 18.20/2.90 # Current number of archived formulas : 0
% 18.20/2.90 # Current number of archived clauses : 540
% 18.20/2.90 # Clause-clause subsumption calls (NU) : 1415697
% 18.20/2.90 # Rec. Clause-clause subsumption calls : 506112
% 18.20/2.90 # Non-unit clause-clause subsumptions : 1195
% 18.20/2.90 # Unit Clause-clause subsumption calls : 168371
% 18.20/2.90 # Rewrite failures with RHS unbound : 0
% 18.20/2.90 # BW rewrite match attempts : 22217
% 18.20/2.90 # BW rewrite match successes : 103
% 18.20/2.90 # Condensation attempts : 0
% 18.20/2.90 # Condensation successes : 0
% 18.20/2.90 # Termbank termtop insertions : 2505963
% 18.20/2.90
% 18.20/2.90 # -------------------------------------------------
% 18.20/2.90 # User time : 2.240 s
% 18.20/2.90 # System time : 0.071 s
% 18.20/2.90 # Total time : 2.311 s
% 18.20/2.90 # Maximum resident set size: 2480 pages
% 18.20/2.90
% 18.20/2.90 # -------------------------------------------------
% 18.20/2.90 # User time : 2.244 s
% 18.20/2.90 # System time : 0.074 s
% 18.20/2.90 # Total time : 2.317 s
% 18.20/2.90 # Maximum resident set size: 1820 pages
% 18.20/2.90 % E---3.1 exiting
%------------------------------------------------------------------------------