TSTP Solution File: NUM595+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM595+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n109.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 15:21:55 EST 2018
% Result : Theorem 9.59s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 114 ( 20 unt; 0 def)
% Number of atoms : 552 ( 26 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 721 ( 283 ~; 312 |; 109 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 151 ( 1 sgn 92 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mNoScLessZr) ).
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',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/tmp1J9P8w/sel_theBenchmark.p_1',mDefSub) ).
fof(9,axiom,
( equal(xX,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk))
& ~ equal(xX,slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',m__4826) ).
fof(15,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mZeroNum) ).
fof(18,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',m__) ).
fof(19,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',m__3533) ).
fof(20,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ? [X2] :
( aElementOf0(X2,xT)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',m__4618) ).
fof(28,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mSuccNum) ).
fof(46,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( equal(X2,slbdtrb0(X1))
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mDefSeg) ).
fof(49,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/tmp1J9P8w/sel_theBenchmark.p_1',mDefSel) ).
fof(52,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/tmp1J9P8w/sel_theBenchmark.p_1',m__4730) ).
fof(58,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mSegZero) ).
fof(77,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',mNATSet) ).
fof(85,axiom,
( aElementOf0(xi,szNzAzT0)
& equal(sdtlpdtrp0(xd,xi),xx) ),
file('/export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1',m__4806) ).
fof(98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(assume_negation,[status(cth)],[18]) ).
fof(99,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(100,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[98,theory(equality)]) ).
fof(105,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(106,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[105]) ).
cnf(107,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(129,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(130,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[130]) ).
cnf(133,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[131]) ).
fof(138,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(139,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)],[138]) ).
fof(140,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)],[139]) ).
fof(141,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)],[140]) ).
fof(142,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)],[141]) ).
cnf(145,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(156,plain,
xX != slcrc0,
inference(split_conjunct,[status(thm)],[9]) ).
cnf(157,plain,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(183,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(194,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(196,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[19]) ).
fof(197,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ? [X2] :
( aElementOf0(X2,xT)
& ! [X3] :
( ~ aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(198,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ? [X5] :
( aElementOf0(X5,xT)
& ! [X6] :
( ~ aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X6),X5) ) ) ),
inference(variable_rename,[status(thm)],[197]) ).
fof(199,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ( aElementOf0(esk7_1(X4),xT)
& ! [X6] :
( ~ aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X6),esk7_1(X4)) ) ) ),
inference(skolemize,[status(esa)],[198]) ).
fof(200,plain,
! [X4,X6] :
( ( ( ~ aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X6),esk7_1(X4)) )
& aElementOf0(esk7_1(X4),xT) )
| ~ aElementOf0(X4,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[199]) ).
fof(201,plain,
! [X4,X6] :
( ( ~ aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X6),esk7_1(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk7_1(X4),xT)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[200]) ).
cnf(202,plain,
( aElementOf0(esk7_1(X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(203,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = esk7_1(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[201]) ).
fof(238,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(239,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[238]) ).
fof(240,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[239]) ).
cnf(242,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[240]) ).
fof(324,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( ~ equal(X2,slbdtrb0(X1))
| ( aSet0(X2)
& ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) )
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
| aElementOf0(X3,X2) ) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1) )
& ( aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) )
| equal(X2,slbdtrb0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(325,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( ( ~ aElementOf0(X7,X5)
| ~ aElementOf0(X7,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X7),X4) )
& ( aElementOf0(X7,X5)
| ( aElementOf0(X7,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X7),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[324]) ).
fof(326,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk14_2(X4,X5),X5)
| ~ aElementOf0(esk14_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4) )
& ( aElementOf0(esk14_2(X4,X5),X5)
| ( aElementOf0(esk14_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(skolemize,[status(esa)],[325]) ).
fof(327,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) )
& aSet0(X5) )
| ~ equal(X5,slbdtrb0(X4)) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk14_2(X4,X5),X5)
| ~ aElementOf0(esk14_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4) )
& ( aElementOf0(esk14_2(X4,X5),X5)
| ( aElementOf0(esk14_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) )
| ~ aElementOf0(X4,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[326]) ).
fof(328,plain,
! [X4,X5,X6] :
( ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aSet0(X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk14_2(X4,X5),X5)
| ~ aElementOf0(esk14_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk14_2(X4,X5),szNzAzT0)
| aElementOf0(esk14_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk14_2(X4,X5)),X4)
| aElementOf0(esk14_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[327]) ).
cnf(329,plain,
( X2 = slbdtrb0(X1)
| aElementOf0(esk14_2(X1,X2),X2)
| sdtlseqdt0(szszuzczcdt0(esk14_2(X1,X2)),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[328]) ).
cnf(330,plain,
( X2 = slbdtrb0(X1)
| aElementOf0(esk14_2(X1,X2),X2)
| aElementOf0(esk14_2(X1,X2),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[328]) ).
fof(348,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)],[49]) ).
fof(349,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)],[348]) ).
fof(350,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)],[349]) ).
fof(351,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)],[350]) ).
fof(352,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)],[351]) ).
cnf(356,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[352]) ).
cnf(359,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[352]) ).
fof(364,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)],[52]) ).
fof(365,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)],[364]) ).
fof(366,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)],[365]) ).
cnf(369,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)],[366]) ).
cnf(394,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[58]) ).
cnf(470,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(499,plain,
sdtlpdtrp0(xd,xi) = xx,
inference(split_conjunct,[status(thm)],[85]) ).
cnf(500,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(660,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[145,133,theory(equality)]) ).
cnf(664,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[660,470,theory(equality)]) ).
cnf(665,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[664,theory(equality)]) ).
cnf(758,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[356,theory(equality)]) ).
cnf(930,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3)) ),
inference(er,[status(thm)],[359,theory(equality)]) ).
cnf(1149,plain,
( slbdtrb0(sz00) = X1
| aElementOf0(esk14_2(sz00,X1),szNzAzT0)
| aElementOf0(esk14_2(sz00,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[330,183,theory(equality)]) ).
cnf(1160,plain,
( slcrc0 = X1
| aElementOf0(esk14_2(sz00,X1),szNzAzT0)
| aElementOf0(esk14_2(sz00,X1),X1)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[1149,394,theory(equality)]) ).
cnf(1261,plain,
( slbdtrb0(sz00) = X1
| sdtlseqdt0(szszuzczcdt0(esk14_2(sz00,X1)),sz00)
| aElementOf0(esk14_2(sz00,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[329,183,theory(equality)]) ).
cnf(1274,plain,
( slcrc0 = X1
| sdtlseqdt0(szszuzczcdt0(esk14_2(sz00,X1)),sz00)
| aElementOf0(esk14_2(sz00,X1),X1)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[1261,394,theory(equality)]) ).
cnf(1390,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk7_1(xi)
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[203,157,theory(equality)]) ).
cnf(1401,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk7_1(xi)
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX)
| $false ),
inference(rw,[status(thm)],[1390,500,theory(equality)]) ).
cnf(1402,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk7_1(xi)
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(cn,[status(thm)],[1401,theory(equality)]) ).
cnf(1404,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = sdtlpdtrp0(xd,xi)
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[369,157,theory(equality)]) ).
cnf(1415,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(rw,[status(thm)],[1404,499,theory(equality)]) ).
cnf(1416,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX)
| $false ),
inference(rw,[status(thm)],[1415,500,theory(equality)]) ).
cnf(1417,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(cn,[status(thm)],[1416,theory(equality)]) ).
cnf(2758,plain,
( aSet0(xX)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[758,157,theory(equality)]) ).
cnf(2764,plain,
( aSet0(xX)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| $false ),
inference(rw,[status(thm)],[2758,196,theory(equality)]) ).
cnf(2765,plain,
( aSet0(xX)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(cn,[status(thm)],[2764,theory(equality)]) ).
cnf(3081,plain,
( aSet0(xX)
| ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0) ),
inference(spm,[status(thm)],[2765,665,theory(equality)]) ).
cnf(3104,plain,
( aSet0(xX)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[3081,242,theory(equality)]) ).
cnf(3106,plain,
( aSet0(xX)
| $false ),
inference(rw,[status(thm)],[3104,500,theory(equality)]) ).
cnf(3107,plain,
aSet0(xX),
inference(cn,[status(thm)],[3106,theory(equality)]) ).
cnf(6869,plain,
( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[930,157,theory(equality)]) ).
cnf(6883,plain,
( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,xX)
| $false ),
inference(rw,[status(thm)],[6869,196,theory(equality)]) ).
cnf(6884,plain,
( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,xX) ),
inference(cn,[status(thm)],[6883,theory(equality)]) ).
cnf(14629,plain,
( slcrc0 = xX
| aElementOf0(esk14_2(sz00,xX),szNzAzT0)
| aElementOf0(esk14_2(sz00,xX),xX) ),
inference(spm,[status(thm)],[1160,3107,theory(equality)]) ).
cnf(14658,plain,
( aElementOf0(esk14_2(sz00,xX),szNzAzT0)
| aElementOf0(esk14_2(sz00,xX),xX) ),
inference(sr,[status(thm)],[14629,156,theory(equality)]) ).
cnf(20249,plain,
( slcrc0 = xX
| sdtlseqdt0(szszuzczcdt0(esk14_2(sz00,xX)),sz00)
| aElementOf0(esk14_2(sz00,xX),xX) ),
inference(spm,[status(thm)],[1274,3107,theory(equality)]) ).
cnf(20282,plain,
( sdtlseqdt0(szszuzczcdt0(esk14_2(sz00,xX)),sz00)
| aElementOf0(esk14_2(sz00,xX),xX) ),
inference(sr,[status(thm)],[20249,156,theory(equality)]) ).
cnf(20438,plain,
( aElementOf0(esk14_2(sz00,xX),xX)
| ~ aElementOf0(esk14_2(sz00,xX),szNzAzT0) ),
inference(spm,[status(thm)],[107,20282,theory(equality)]) ).
cnf(20468,plain,
aElementOf0(esk14_2(sz00,xX),xX),
inference(csr,[status(thm)],[20438,14658]) ).
cnf(26073,plain,
( esk7_1(xi) = xx
| ~ aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(spm,[status(thm)],[1417,1402,theory(equality)]) ).
cnf(245162,plain,
( aSet0(X1)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,xX) ),
inference(spm,[status(thm)],[145,6884,theory(equality)]) ).
cnf(266698,plain,
( aSet0(X1)
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0) ),
inference(spm,[status(thm)],[245162,665,theory(equality)]) ).
cnf(266831,plain,
( aSet0(X1)
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[266698,242,theory(equality)]) ).
cnf(266845,plain,
( aSet0(X1)
| ~ aElementOf0(X1,xX)
| $false ),
inference(rw,[status(thm)],[266831,500,theory(equality)]) ).
cnf(266846,plain,
( aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(cn,[status(thm)],[266845,theory(equality)]) ).
cnf(266898,plain,
( esk7_1(xi) = xx
| ~ aElementOf0(X1,xX) ),
inference(spm,[status(thm)],[26073,266846,theory(equality)]) ).
cnf(267459,plain,
esk7_1(xi) = xx,
inference(spm,[status(thm)],[266898,20468,theory(equality)]) ).
cnf(267549,plain,
( aElementOf0(xx,xT)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[202,267459,theory(equality)]) ).
cnf(267596,plain,
( aElementOf0(xx,xT)
| $false ),
inference(rw,[status(thm)],[267549,500,theory(equality)]) ).
cnf(267597,plain,
aElementOf0(xx,xT),
inference(cn,[status(thm)],[267596,theory(equality)]) ).
cnf(267598,plain,
$false,
inference(sr,[status(thm)],[267597,194,theory(equality)]) ).
cnf(267599,plain,
$false,
267598,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM595+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n109.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 10:05:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for []
% 9.59/9.85 -running prover on /export/starexec/sandbox2/tmp/tmp1J9P8w/sel_theBenchmark.p_1 with time limit 29
% 9.59/9.85 -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/tmp1J9P8w/sel_theBenchmark.p_1']
% 9.59/9.85 -prover status Theorem
% 9.59/9.85 Problem theBenchmark.p solved in phase 0.
% 9.59/9.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.85 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.85 Solved 1 out of 1.
% 9.59/9.85 # Problem is unsatisfiable (or provable), constructing proof object
% 9.59/9.85 # SZS status Theorem
% 9.59/9.85 # SZS output start CNFRefutation.
% See solution above
% 9.59/9.86 # SZS output end CNFRefutation
%------------------------------------------------------------------------------