%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM631+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n042.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 26.56s
% Output : CNFRefutation 26.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 73 ( 23 unt; 0 def)
% Number of atoms : 350 ( 25 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 406 ( 129 ~; 125 |; 138 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 13 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__4660) ).
fof(19,conjecture,
equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__) ).
fof(26,axiom,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5147) ).
fof(27,axiom,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xn))) ) ) )
& equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5632) ).
fof(47,axiom,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5334) ).
fof(61,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__4730) ).
fof(80,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',mConsDiff) ).
fof(82,axiom,
equal(sbrdtbr0(xP),xk),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5217) ).
fof(86,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd))
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& equal(sdtlpdtrp0(xe,xn),xp) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5309) ).
fof(103,axiom,
( aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(xQ)) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5164) ).
fof(107,axiom,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& equal(sbrdtbr0(xQ),xK)
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1',m__5078) ).
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(215,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(216,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) ) ) ),
inference(variable_rename,[status(thm)],[215]) ).
fof(217,plain,
! [X3,X4] :
( ( ( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) )
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[216]) ).
fof(218,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(distribute,[status(thm)],[217]) ).
cnf(221,plain,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(245,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[120]) ).
fof(291,plain,
( aElementOf0(xp,xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(292,plain,
( aElementOf0(xp,xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& equal(xp,szmzizndt0(xQ)) ),
inference(variable_rename,[status(thm)],[291]) ).
fof(293,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xQ)
& equal(xp,szmzizndt0(xQ)) ),
inference(shift_quantors,[status(thm)],[292]) ).
cnf(294,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[293]) ).
cnf(295,plain,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[293]) ).
fof(297,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( aElement0(X1)
& ( aElementOf0(X1,xP)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xn))) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xP)
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xn))) )
| aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) ) )
& equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(298,plain,
( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( aElement0(X3)
& ( aElementOf0(X3,xP)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xP)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn))) )
| aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) ) )
& equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
inference(variable_rename,[status(thm)],[297]) ).
fof(299,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( aElement0(X3)
& ( aElementOf0(X3,xP)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xP)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn))) )
| aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
inference(shift_quantors,[status(thm)],[298]) ).
fof(300,plain,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(X3,xP)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X3,xP)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
inference(distribute,[status(thm)],[299]) ).
cnf(301,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[300]) ).
fof(388,plain,
( ! [X1] :
( ~ aElementOf0(X1,xP)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(389,plain,
( ! [X2] :
( ~ aElementOf0(X2,xP)
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(variable_rename,[status(thm)],[388]) ).
fof(390,plain,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[389]) ).
cnf(391,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[390]) ).
fof(482,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ( ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(483,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(variable_rename,[status(thm)],[482]) ).
fof(484,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( aElementOf0(esk21_2(X4,X5),X5)
& ~ aElementOf0(esk21_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(skolemize,[status(esa)],[483]) ).
fof(485,plain,
! [X4,X5] :
( ( ~ aSet0(X5)
| ( ( ( aElementOf0(esk21_2(X4,X5),X5)
& ~ aElementOf0(esk21_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[484]) ).
fof(486,plain,
! [X4,X5] :
( ( aElementOf0(esk21_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk21_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(distribute,[status(thm)],[485]) ).
cnf(490,plain,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(split_conjunct,[status(thm)],[486]) ).
fof(614,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(615,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3) ) ),
inference(variable_rename,[status(thm)],[614]) ).
fof(616,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[615]) ).
cnf(617,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[616]) ).
cnf(623,plain,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[82]) ).
cnf(629,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[86]) ).
cnf(630,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[86]) ).
fof(704,plain,
( aSet0(xP)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( ( ~ aElementOf0(X1,xP)
| ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(xQ))
| aElementOf0(X1,xP) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(705,plain,
( aSet0(xP)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& ! [X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(variable_rename,[status(thm)],[704]) ).
fof(706,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) )
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(shift_quantors,[status(thm)],[705]) ).
fof(707,plain,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(X3,xQ)
| ~ aElementOf0(X3,xP) )
& ( ~ equal(X3,szmzizndt0(xQ))
| ~ aElementOf0(X3,xP) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) )
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(distribute,[status(thm)],[706]) ).
cnf(708,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[707]) ).
cnf(709,plain,
aSet0(xP),
inference(split_conjunct,[status(thm)],[707]) ).
fof(4696,plain,
( aSet0(xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& equal(sbrdtbr0(xQ),xK)
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(fof_nnf,[status(thm)],[107]) ).
fof(4697,plain,
( aSet0(xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xO) )
& aSubsetOf0(xQ,xO)
& equal(sbrdtbr0(xQ),xK)
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(variable_rename,[status(thm)],[4696]) ).
fof(4698,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xO) )
& aSet0(xQ)
& aSubsetOf0(xQ,xO)
& equal(sbrdtbr0(xQ),xK)
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(shift_quantors,[status(thm)],[4697]) ).
cnf(4702,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[4698]) ).
cnf(5421,plain,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[708,294,theory(equality)]) ).
cnf(5733,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = sdtlpdtrp0(xe,xn),
inference(spm,[status(thm)],[221,630,theory(equality)]) ).
cnf(5738,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[5733,629,theory(equality)]) ).
cnf(5815,plain,
( sdtpldt0(sdtmndt0(xQ,xp),xp) = xQ
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[617,295,theory(equality)]) ).
cnf(5831,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5815,5421,theory(equality)]) ).
cnf(5832,plain,
( sdtpldt0(xP,xp) = xQ
| $false ),
inference(rw,[status(thm)],[5831,4702,theory(equality)]) ).
cnf(5833,plain,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[5832,theory(equality)]) ).
cnf(6963,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(xP)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[490,623,theory(equality)]) ).
cnf(6967,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[6963,709,theory(equality)]) ).
cnf(6968,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[6967,theory(equality)]) ).
cnf(34727,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[301,5738,theory(equality)]),5833,theory(equality)]) ).
cnf(354543,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[6968,630,theory(equality)]) ).
cnf(354726,plain,
( sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(rw,[status(thm)],[354543,34727,theory(equality)]) ).
cnf(354727,plain,
( sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn)
| $false ),
inference(rw,[status(thm)],[354726,391,theory(equality)]) ).
cnf(354728,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(cn,[status(thm)],[354727,theory(equality)]) ).
cnf(354729,plain,
$false,
inference(sr,[status(thm)],[354728,245,theory(equality)]) ).
cnf(354730,plain,
$false,
354729,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM631+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n042.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 12:16:34 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 26.56/26.80 -running prover on /export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1 with time limit 29
% 26.56/26.80 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpELoG57/sel_theBenchmark.p_1']
% 26.56/26.80 -prover status Theorem
% 26.56/26.80 Problem theBenchmark.p solved in phase 0.
% 26.56/26.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.56/26.80 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.56/26.80 Solved 1 out of 1.
% 26.56/26.80 # Problem is unsatisfiable (or provable), constructing proof object
% 26.56/26.80 # SZS status Theorem
% 26.56/26.80 # SZS output start CNFRefutation.
% See solution above
% 26.56/26.80 # SZS output end CNFRefutation
%------------------------------------------------------------------------------