TSTP Solution File: NUM552+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM552+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n110.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 15:21:46 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 397 ( 0 equ)
% Maximal formula atoms : 67 ( 11 avg)
% Number of connectives : 529 ( 167 ~; 153 |; 189 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 67 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1',m__2270) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1',m__2202_02) ).
fof(17,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1',mDefSub) ).
fof(44,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1',m__) ).
fof(68,axiom,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| equal(slbdtsldtrb0(xS,xk),slcrc0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1',m__2227) ).
fof(69,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(assume_negation,[status(cth)],[44]) ).
fof(86,plain,
( aSet0(xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(87,plain,
( aSet0(xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xS) )
& aSet0(xQ)
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[87]) ).
cnf(89,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(121,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[10]) ).
fof(149,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)],[17]) ).
fof(150,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)],[149]) ).
fof(151,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[150]) ).
fof(152,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[151]) ).
fof(153,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[152]) ).
cnf(157,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[153]) ).
fof(273,negated_conjecture,
( aElementOf0(xx,xQ)
& ~ aElementOf0(xx,xT) ),
inference(fof_nnf,[status(thm)],[69]) ).
cnf(274,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(275,negated_conjecture,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[273]) ).
fof(367,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xT) ) )
& ~ aSubsetOf0(X1,xT) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(368,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ? [X8] :
( aElementOf0(X8,X6)
& ~ aElementOf0(X8,xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ? [X12] :
( aElementOf0(X12,X10)
& ~ aElementOf0(X12,xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& ? [X13] : aElementOf0(X13,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(variable_rename,[status(thm)],[367]) ).
fof(369,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk12_1(X3),X3)
& ~ aElementOf0(esk12_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk13_1(X6),X6)
& ~ aElementOf0(esk13_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk14_1(X10),X10)
& ~ aElementOf0(esk14_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(skolemize,[status(esa)],[368]) ).
fof(370,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSet0(X10)
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) )
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk14_1(X10),X10)
& ~ aElementOf0(esk14_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSet0(X6)
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) )
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk13_1(X6),X6)
& ~ aElementOf0(esk13_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) )
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk12_1(X3),X3)
& ~ aElementOf0(esk12_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(shift_quantors,[status(thm)],[369]) ).
fof(371,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X10)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X10,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X10),xk)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X10),X10)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X10),xS)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X10,xS)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X6,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( equal(sbrdtbr0(X6),xk)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X6),X6)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X6),xT)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X6,xT)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X3),xk)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(distribute,[status(thm)],[370]) ).
cnf(386,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[371]) ).
cnf(389,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[371]) ).
cnf(523,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(spm,[status(thm)],[386,389,theory(equality)]) ).
cnf(1537,plain,
aSubsetOf0(xQ,xT),
inference(spm,[status(thm)],[523,89,theory(equality)]) ).
cnf(1563,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[157,1537,theory(equality)]) ).
cnf(1574,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ)
| $false ),
inference(rw,[status(thm)],[1563,121,theory(equality)]) ).
cnf(1575,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[1574,theory(equality)]) ).
cnf(1598,negated_conjecture,
aElementOf0(xx,xT),
inference(spm,[status(thm)],[1575,275,theory(equality)]) ).
cnf(1608,negated_conjecture,
$false,
inference(sr,[status(thm)],[1598,274,theory(equality)]) ).
cnf(1609,negated_conjecture,
$false,
1608,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM552+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n110.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 09:57:00 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 0.06/0.37 -running prover on /export/starexec/sandbox2/tmp/tmpau7J4j/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.37 -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/tmpau7J4j/sel_theBenchmark.p_1']
% 0.06/0.37 -prover status Theorem
% 0.06/0.37 Problem theBenchmark.p solved in phase 0.
% 0.06/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.37 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.37 Solved 1 out of 1.
% 0.06/0.37 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.37 # SZS status Theorem
% 0.06/0.37 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------