%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM580+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n130.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 15:21:52 EST 2018
% Result : Theorem 5.29s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 15 unt; 0 def)
% Number of atoms : 485 ( 8 equ)
% Maximal formula atoms : 52 ( 6 avg)
% Number of connectives : 631 ( 219 ~; 233 |; 153 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 101 ( 0 sgn 83 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',m__3671) ).
fof(13,axiom,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',m__3989_02) ).
fof(16,conjecture,
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
=> equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',m__) ).
fof(17,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',m__3533) ).
fof(24,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',mEOfElem) ).
fof(26,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/tmpxzeCx5/sel_theBenchmark.p_1',mDefDiff) ).
fof(51,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',mCardNum) ).
fof(72,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',mCardCons) ).
fof(80,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1',m__3989) ).
fof(88,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
=> equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(93,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(122,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(123,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aSet0(sdtlpdtrp0(xN,X3))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X3)) ) ),
inference(variable_rename,[status(thm)],[122]) ).
fof(124,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X3))
& aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X3)) )
| ~ aElementOf0(X3,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[123]) ).
fof(125,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[124]) ).
cnf(128,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(163,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(164,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& ! [X4] :
( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(variable_rename,[status(thm)],[163]) ).
fof(165,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSet0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(shift_quantors,[status(thm)],[164]) ).
fof(166,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSet0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(distribute,[status(thm)],[165]) ).
cnf(168,plain,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[166]) ).
cnf(170,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[166]) ).
cnf(172,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[166]) ).
cnf(178,plain,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[166]) ).
fof(189,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(190,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(variable_rename,[status(thm)],[189]) ).
fof(191,negated_conjecture,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK)
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(shift_quantors,[status(thm)],[190]) ).
fof(192,negated_conjecture,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,xQ)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK)
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(distribute,[status(thm)],[191]) ).
cnf(195,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(split_conjunct,[status(thm)],[192]) ).
cnf(201,plain,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(202,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[17]) ).
fof(238,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(239,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[238]) ).
fof(240,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[239]) ).
cnf(241,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[240]) ).
fof(247,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)],[26]) ).
fof(248,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)],[247]) ).
fof(249,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(esk7_3(X5,X6,X7),X7)
| ~ aElement0(esk7_3(X5,X6,X7))
| ~ aElementOf0(esk7_3(X5,X6,X7),X5)
| equal(esk7_3(X5,X6,X7),X6) )
& ( aElementOf0(esk7_3(X5,X6,X7),X7)
| ( aElement0(esk7_3(X5,X6,X7))
& aElementOf0(esk7_3(X5,X6,X7),X5)
& ~ equal(esk7_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[248]) ).
fof(250,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(esk7_3(X5,X6,X7),X7)
| ~ aElement0(esk7_3(X5,X6,X7))
| ~ aElementOf0(esk7_3(X5,X6,X7),X5)
| equal(esk7_3(X5,X6,X7),X6) )
& ( aElementOf0(esk7_3(X5,X6,X7),X7)
| ( aElement0(esk7_3(X5,X6,X7))
& aElementOf0(esk7_3(X5,X6,X7),X5)
& ~ equal(esk7_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[249]) ).
fof(251,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(esk7_3(X5,X6,X7),X7)
| ~ aElement0(esk7_3(X5,X6,X7))
| ~ aElementOf0(esk7_3(X5,X6,X7),X5)
| equal(esk7_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk7_3(X5,X6,X7))
| aElementOf0(esk7_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk7_3(X5,X6,X7),X5)
| aElementOf0(esk7_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk7_3(X5,X6,X7),X6)
| aElementOf0(esk7_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[250]) ).
cnf(258,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[251]) ).
fof(374,plain,
! [X1] :
( ~ aSet0(X1)
| ( ( ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| isFinite0(X1) )
& ( ~ isFinite0(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(375,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0) ) ) ),
inference(variable_rename,[status(thm)],[374]) ).
fof(376,plain,
! [X2] :
( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2)
| ~ aSet0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[375]) ).
cnf(378,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[376]) ).
fof(492,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ! [X2] :
( ~ aElement0(X2)
| aElementOf0(X2,X1)
| equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ),
inference(fof_nnf,[status(thm)],[93]) ).
fof(493,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ! [X4] :
( ~ aElement0(X4)
| aElementOf0(X4,X3)
| equal(sbrdtbr0(sdtpldt0(X3,X4)),szszuzczcdt0(sbrdtbr0(X3))) ) ),
inference(variable_rename,[status(thm)],[492]) ).
fof(494,plain,
! [X3,X4] :
( ~ aElement0(X4)
| aElementOf0(X4,X3)
| equal(sbrdtbr0(sdtpldt0(X3,X4)),szszuzczcdt0(sbrdtbr0(X3)))
| ~ aSet0(X3)
| ~ isFinite0(X3) ),
inference(shift_quantors,[status(thm)],[493]) ).
cnf(495,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[494]) ).
cnf(4495,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(4553,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[241,172,theory(equality)]) ).
cnf(4571,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(spm,[status(thm)],[128,4495,theory(equality)]) ).
cnf(4670,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[378,168,theory(equality)]) ).
cnf(4671,plain,
( isFinite0(xQ)
| $false
| ~ aElementOf0(xk,szNzAzT0) ),
inference(rw,[status(thm)],[4670,170,theory(equality)]) ).
cnf(4672,plain,
( isFinite0(xQ)
| $false
| $false ),
inference(rw,[status(thm)],[4671,202,theory(equality)]) ).
cnf(4673,plain,
isFinite0(xQ),
inference(cn,[status(thm)],[4672,theory(equality)]) ).
cnf(4803,plain,
( sdtmndt0(X1,X2) != X3
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X3) ),
inference(er,[status(thm)],[258,theory(equality)]) ).
cnf(5114,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)],[195,495,theory(equality)]) ).
cnf(5121,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| $false
| ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5114,168,theory(equality)]),201,theory(equality)]) ).
cnf(5122,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| $false
| ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| $false ),
inference(rw,[status(thm)],[5121,170,theory(equality)]) ).
cnf(5123,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(cn,[status(thm)],[5122,theory(equality)]) ).
cnf(14972,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| $false ),
inference(rw,[status(thm)],[4553,4571,theory(equality)]) ).
cnf(14973,plain,
aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cn,[status(thm)],[14972,theory(equality)]) ).
cnf(40784,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
inference(er,[status(thm)],[4803,theory(equality)]) ).
cnf(56383,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| $false
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(rw,[status(thm)],[5123,4673,theory(equality)]) ).
cnf(56384,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| $false
| $false ),
inference(rw,[status(thm)],[56383,14973,theory(equality)]) ).
cnf(56385,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ),
inference(cn,[status(thm)],[56384,theory(equality)]) ).
cnf(56389,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(spm,[status(thm)],[178,56385,theory(equality)]) ).
cnf(56459,negated_conjecture,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[40784,56389,theory(equality)]) ).
cnf(56470,negated_conjecture,
( $false
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(rw,[status(thm)],[56459,14973,theory(equality)]) ).
cnf(56471,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[56470,4571,theory(equality)]) ).
cnf(56472,negated_conjecture,
$false,
inference(cn,[status(thm)],[56471,theory(equality)]) ).
cnf(56473,negated_conjecture,
$false,
56472,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM580+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n130.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 09:35:29 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 5.29/5.51 -running prover on /export/starexec/sandbox2/tmp/tmpxzeCx5/sel_theBenchmark.p_1 with time limit 29
% 5.29/5.51 -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/tmpxzeCx5/sel_theBenchmark.p_1']
% 5.29/5.51 -prover status Theorem
% 5.29/5.51 Problem theBenchmark.p solved in phase 0.
% 5.29/5.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.29/5.51 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.29/5.51 Solved 1 out of 1.
% 5.29/5.51 # Problem is unsatisfiable (or provable), constructing proof object
% 5.29/5.51 # SZS status Theorem
% 5.29/5.51 # SZS output start CNFRefutation.
% See solution above
% 5.29/5.51 # SZS output end CNFRefutation
%------------------------------------------------------------------------------