%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM558+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n029.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 15:21:47 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 23 unt; 0 def)
% Number of atoms : 620 ( 7 equ)
% Maximal formula atoms : 54 ( 7 avg)
% Number of connectives : 876 ( 342 ~; 378 |; 142 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 149 ( 0 sgn 98 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',mEOfElem) ).
fof(9,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/tmpsEdDz5/sel_theBenchmark.p_1',mDefDiff) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/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/tmpsEdDz5/sel_theBenchmark.p_1',mDefSub) ).
fof(20,axiom,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2378) ).
fof(42,axiom,
equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2357) ).
fof(46,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2304) ).
fof(47,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__) ).
fof(52,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& equal(sbrdtbr0(xQ),xk) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2291) ).
fof(53,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/tmpsEdDz5/sel_theBenchmark.p_1',mDefSel) ).
fof(59,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2202) ).
fof(61,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2256) ).
fof(65,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtpldt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',mDefCons) ).
fof(72,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1',m__2227) ).
fof(73,negated_conjecture,
~ aElementOf0(xx,xT),
inference(assume_negation,[status(cth)],[47]) ).
fof(79,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(89,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(90,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[89]) ).
fof(91,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[90]) ).
cnf(92,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(106,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)],[9]) ).
fof(107,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)],[106]) ).
fof(108,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[107]) ).
fof(109,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[108]) ).
fof(110,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk2_3(X5,X6,X7),X6)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[109]) ).
cnf(115,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(121,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(122,plain,
aSet0(xS),
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]) ).
cnf(168,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(251,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(275,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(276,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(291,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(292,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)],[53]) ).
fof(293,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)],[292]) ).
fof(294,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[293]) ).
fof(295,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[294]) ).
fof(296,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[295]) ).
cnf(300,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(303,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(318,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(323,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[61]) ).
fof(333,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtpldt0(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,sdtpldt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(334,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(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,sdtpldt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[333]) ).
fof(335,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(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(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[334]) ).
fof(336,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,sdtpldt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[335]) ).
fof(337,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk11_3(X5,X6,X7),X6)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk11_3(X5,X6,X7))
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6)
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[336]) ).
cnf(343,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[337]) ).
cnf(370,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(394,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[92,323,theory(equality)]) ).
cnf(401,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[394,122,theory(equality)]) ).
cnf(402,plain,
aElement0(xx),
inference(cn,[status(thm)],[401,theory(equality)]) ).
cnf(475,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(spm,[status(thm)],[157,370,theory(equality)]) ).
cnf(483,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[115,theory(equality)]) ).
cnf(490,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[300,theory(equality)]) ).
cnf(579,plain,
( aElementOf0(X1,X2)
| sdtpldt0(X3,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[343,theory(equality)]) ).
cnf(585,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[303,theory(equality)]) ).
cnf(1365,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[475,490,theory(equality)]) ).
cnf(1367,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| $false
| ~ aSet0(xT) ),
inference(rw,[status(thm)],[1365,318,theory(equality)]) ).
cnf(1368,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| $false
| $false ),
inference(rw,[status(thm)],[1367,121,theory(equality)]) ).
cnf(1369,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cn,[status(thm)],[1368,theory(equality)]) ).
cnf(2218,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[579,theory(equality)]) ).
cnf(2303,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[2218,251,theory(equality)]) ).
cnf(2313,plain,
( aElementOf0(xx,xP)
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[2303,402,theory(equality)]) ).
cnf(2314,plain,
( aElementOf0(xx,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[2313,theory(equality)]) ).
cnf(2316,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[2314,483,theory(equality)]) ).
cnf(2318,plain,
( aElementOf0(xx,xP)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[2316,275,theory(equality)]) ).
cnf(2319,plain,
( aElementOf0(xx,xP)
| $false
| $false ),
inference(rw,[status(thm)],[2318,291,theory(equality)]) ).
cnf(2320,plain,
aElementOf0(xx,xP),
inference(cn,[status(thm)],[2319,theory(equality)]) ).
cnf(2657,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(spm,[status(thm)],[585,1369,theory(equality)]) ).
cnf(2666,plain,
( aSubsetOf0(X1,xT)
| $false
| ~ aSet0(xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(rw,[status(thm)],[2657,318,theory(equality)]) ).
cnf(2667,plain,
( aSubsetOf0(X1,xT)
| $false
| $false
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(rw,[status(thm)],[2666,121,theory(equality)]) ).
cnf(2668,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cn,[status(thm)],[2667,theory(equality)]) ).
cnf(2912,plain,
aSubsetOf0(xP,xT),
inference(spm,[status(thm)],[2668,168,theory(equality)]) ).
cnf(2951,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[157,2912,theory(equality)]) ).
cnf(2962,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP)
| $false ),
inference(rw,[status(thm)],[2951,121,theory(equality)]) ).
cnf(2963,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[2962,theory(equality)]) ).
cnf(3018,plain,
aElementOf0(xx,xT),
inference(spm,[status(thm)],[2963,2320,theory(equality)]) ).
cnf(3027,plain,
$false,
inference(sr,[status(thm)],[3018,276,theory(equality)]) ).
cnf(3028,plain,
$false,
3027,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM558+1 : 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 : n029.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 09:56:30 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 []
% 0.06/0.42 -running prover on /export/starexec/sandbox2/tmp/tmpsEdDz5/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.42 -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/tmpsEdDz5/sel_theBenchmark.p_1']
% 0.06/0.42 -prover status Theorem
% 0.06/0.42 Problem theBenchmark.p solved in phase 0.
% 0.06/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.42 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.42 Solved 1 out of 1.
% 0.06/0.42 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.42 # SZS status Theorem
% 0.06/0.42 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------