%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM631+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n117.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:22:04 EST 2018
% Result : Theorem 94.56s
% Output : CNFRefutation 94.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 139 ( 41 unt; 0 def)
% Number of atoms : 647 ( 48 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 824 ( 316 ~; 348 |; 141 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 146 ( 0 sgn 103 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__3671) ).
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__4891) ).
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__4660) ).
fof(19,conjecture,
equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__) ).
fof(20,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__3533) ).
fof(26,axiom,
equal(xp,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5147) ).
fof(27,axiom,
equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5632) ).
fof(31,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mEOfElem) ).
fof(33,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mDefDiff) ).
fof(47,axiom,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5334) ).
fof(57,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mDefSel) ).
fof(61,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__4730) ).
fof(67,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5106) ).
fof(77,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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/tmpWMYQBy/sel_theBenchmark.p_2',m__3623) ).
fof(80,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mConsDiff) ).
fof(82,axiom,
equal(sbrdtbr0(xP),xk),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5217) ).
fof(85,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5173) ).
fof(86,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& equal(sdtlpdtrp0(xe,xn),xp) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5309) ).
fof(92,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5182) ).
fof(93,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',mNATSet) ).
fof(99,axiom,
equal(xD,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5585) ).
fof(103,axiom,
( aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5164) ).
fof(109,axiom,
equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd)),
file('/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2',m__5321) ).
fof(118,negated_conjecture,
~ equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)),
inference(assume_negation,[status(cth)],[19]) ).
fof(120,negated_conjecture,
~ equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
fof(149,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(150,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ),
inference(variable_rename,[status(thm)],[149]) ).
fof(151,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[150]) ).
cnf(152,plain,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(153,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[151]) ).
fof(158,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(159,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[158]) ).
fof(160,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[159]) ).
fof(161,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[160]) ).
fof(162,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[161]) ).
cnf(165,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(184,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
fof(194,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(195,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
inference(variable_rename,[status(thm)],[194]) ).
fof(196,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[195]) ).
cnf(199,plain,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[196]) ).
cnf(216,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(218,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(247,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(248,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[27]) ).
fof(260,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(261,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[260]) ).
fof(262,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[261]) ).
cnf(263,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[262]) ).
fof(269,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) )
| equal(X3,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(270,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| equal(X9,X6) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& aElementOf0(X9,X5)
& ~ equal(X9,X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[269]) ).
fof(271,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[270]) ).
fof(272,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[271]) ).
fof(273,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk9_3(X5,X6,X7))
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X5)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk9_3(X5,X6,X7),X6)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[272]) ).
cnf(278,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(329,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[47]) ).
fof(379,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(380,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[379]) ).
fof(381,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[380]) ).
fof(382,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[381]) ).
fof(383,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[382]) ).
cnf(388,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[383]) ).
fof(402,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(403,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ! [X4] :
( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4)) ) ) ),
inference(variable_rename,[status(thm)],[402]) ).
fof(404,plain,
! [X3,X4] :
( ( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[403]) ).
cnf(407,plain,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[404]) ).
cnf(432,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(465,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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))) ) ) ),
inference(fof_nnf,[status(thm)],[77]) ).
fof(466,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) ) ),
inference(variable_rename,[status(thm)],[465]) ).
fof(467,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[466]) ).
fof(468,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[467]) ).
cnf(473,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[468]) ).
fof(482,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(483,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3) ) ),
inference(variable_rename,[status(thm)],[482]) ).
fof(484,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[483]) ).
cnf(485,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[484]) ).
cnf(487,plain,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[82]) ).
cnf(493,plain,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(494,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[86]) ).
cnf(495,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(515,plain,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(517,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(529,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[99]) ).
cnf(540,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(567,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[109]) ).
cnf(601,negated_conjecture,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(rw,[status(thm)],[216,567,theory(equality)]) ).
cnf(602,plain,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[540,247,theory(equality)]) ).
cnf(689,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xe,xn)) = xD
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[529,199,theory(equality)]) ).
cnf(690,plain,
( sdtlpdtrp0(xc,sdtpldt0(xP,sdtlpdtrp0(xe,xn))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[248,199,theory(equality)]) ).
cnf(693,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[689,494,theory(equality)]) ).
cnf(694,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD
| $false ),
inference(rw,[status(thm)],[693,495,theory(equality)]) ).
cnf(695,plain,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(cn,[status(thm)],[694,theory(equality)]) ).
cnf(696,plain,
( sdtlpdtrp0(xc,sdtpldt0(xP,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[690,494,theory(equality)]) ).
cnf(697,plain,
( sdtlpdtrp0(xc,sdtpldt0(xP,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
| $false ),
inference(rw,[status(thm)],[696,495,theory(equality)]) ).
cnf(698,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cn,[status(thm)],[697,theory(equality)]) ).
cnf(699,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[165,432,theory(equality)]) ).
cnf(709,plain,
( aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[699,517,theory(equality)]) ).
cnf(710,plain,
aSet0(xQ),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(743,plain,
( aElement0(xp)
| ~ aSet0(xO) ),
inference(spm,[status(thm)],[263,515,theory(equality)]) ).
cnf(759,plain,
( aElement0(xp)
| $false ),
inference(rw,[status(thm)],[743,184,theory(equality)]) ).
cnf(760,plain,
aElement0(xp),
inference(cn,[status(thm)],[759,theory(equality)]) ).
cnf(776,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[165,153,theory(equality)]) ).
cnf(780,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[776,517,theory(equality)]) ).
cnf(781,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[780,theory(equality)]) ).
cnf(831,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xQ) ),
inference(spm,[status(thm)],[485,602,theory(equality)]) ).
cnf(833,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[831,493,theory(equality)]) ).
cnf(834,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[833,theory(equality)]) ).
cnf(879,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[278,theory(equality)]) ).
cnf(1505,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,X3))
| sbrdtbr0(X1) != X3
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(er,[status(thm)],[388,theory(equality)]) ).
cnf(1881,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[473,153]) ).
cnf(1882,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[1881,152]) ).
cnf(1885,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[1882,529,theory(equality)]) ).
cnf(1900,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)
| $false ),
inference(rw,[status(thm)],[1885,495,theory(equality)]) ).
cnf(1901,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(cn,[status(thm)],[1900,theory(equality)]) ).
cnf(2483,plain,
( sdtpldt0(xP,xp) = xQ
| $false ),
inference(rw,[status(thm)],[834,710,theory(equality)]) ).
cnf(2484,plain,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[2483,theory(equality)]) ).
cnf(2824,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(xD) ),
inference(spm,[status(thm)],[165,1901,theory(equality)]) ).
cnf(4108,plain,
( aSet0(xD)
| ~ aElement0(xp)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(spm,[status(thm)],[879,695,theory(equality)]) ).
cnf(4114,plain,
( aSet0(xD)
| $false
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(rw,[status(thm)],[4108,760,theory(equality)]) ).
cnf(4115,plain,
( aSet0(xD)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[4114,theory(equality)]) ).
cnf(4139,plain,
( aSet0(xD)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[4115,781,theory(equality)]) ).
cnf(4140,plain,
( aSet0(xD)
| $false ),
inference(rw,[status(thm)],[4139,495,theory(equality)]) ).
cnf(4141,plain,
aSet0(xD),
inference(cn,[status(thm)],[4140,theory(equality)]) ).
cnf(5009,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| $false ),
inference(rw,[status(thm)],[2824,4141,theory(equality)]) ).
cnf(5010,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[5009,theory(equality)]) ).
cnf(20640,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[407,1505,theory(equality)]) ).
cnf(20675,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| $false ),
inference(rw,[status(thm)],[20640,218,theory(equality)]) ).
cnf(20676,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(cn,[status(thm)],[20675,theory(equality)]) ).
cnf(1183986,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[20676,165]) ).
cnf(1183988,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn)
| sbrdtbr0(xP) != xk
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[1183986,329,theory(equality)]) ).
cnf(1184062,plain,
( sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn)
| sbrdtbr0(xP) != xk
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1183988,698,theory(equality)]),2484,theory(equality)]) ).
cnf(1184063,plain,
( sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd)
| sbrdtbr0(xP) != xk
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[1184062,567,theory(equality)]) ).
cnf(1184064,plain,
( sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd)
| $false
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[1184063,487,theory(equality)]) ).
cnf(1184065,plain,
( sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd)
| $false
| $false
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[1184064,5010,theory(equality)]) ).
cnf(1184066,plain,
( sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1184065,495,theory(equality)]) ).
cnf(1184067,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(cn,[status(thm)],[1184066,theory(equality)]) ).
cnf(1184068,plain,
$false,
inference(sr,[status(thm)],[1184067,601,theory(equality)]) ).
cnf(1184069,plain,
$false,
1184068,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM631+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n117.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 11:07:15 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.55 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.55 --creating new selector for []
% 29.11/29.69 eprover: CPU time limit exceeded, terminating
% 94.56/95.54 -running prover on /export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_1 with time limit 29
% 94.56/95.54 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_1']
% 94.56/95.54 -prover status ResourceOut
% 94.56/95.54 -running prover on /export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2 with time limit 81
% 94.56/95.54 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox2/tmp/tmpWMYQBy/sel_theBenchmark.p_2']
% 94.56/95.54 -prover status Theorem
% 94.56/95.54 Problem theBenchmark.p solved in phase 1.
% 94.56/95.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.56/95.54 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.56/95.54 Solved 1 out of 1.
% 94.56/95.54 # Problem is unsatisfiable (or provable), constructing proof object
% 94.56/95.54 # SZS status Theorem
% 94.56/95.54 # SZS output start CNFRefutation.
% See solution above
% 94.56/95.56 # SZS output end CNFRefutation
%------------------------------------------------------------------------------