TSTP Solution File: NUM633+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM633+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n124.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:22:04 EST 2018
% Result : Theorem 9.98s
% Output : CNFRefutation 9.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 516 ( 10 equ)
% Maximal formula atoms : 229 ( 15 avg)
% Number of connectives : 756 ( 273 ~; 266 |; 197 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 60 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(18,conjecture,
( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& equal(sbrdtbr0(X1),xK) )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpB6WMdM/sel_theBenchmark.p_1',m__) ).
fof(23,axiom,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpB6WMdM/sel_theBenchmark.p_1',m__4854) ).
fof(46,axiom,
( ! [X1] :
( aElementOf0(X1,xO)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/tmp/tmpB6WMdM/sel_theBenchmark.p_1',m__4998) ).
fof(50,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/tmp/tmpB6WMdM/sel_theBenchmark.p_1',m__4908) ).
fof(100,negated_conjecture,
~ ( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& equal(sbrdtbr0(X1),xK) )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(219,negated_conjecture,
( ! [X1] :
( ( ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xO) ) )
& ~ aSubsetOf0(X1,xO) )
| ~ equal(sbrdtbr0(X1),xK) )
& ~ aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
| ( ? [X2] : aElementOf0(X2,X1)
& ~ equal(X1,slcrc0)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
& ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xS) ) )
& ~ aSubsetOf0(X2,xS) )
| ~ isCountable0(X2)
| ? [X3] :
( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK))
& ~ equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(220,negated_conjecture,
( ! [X5] :
( ( ( ( ( ~ aSet0(X5)
| ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,xO) ) )
& ~ aSubsetOf0(X5,xO) )
| ~ equal(sbrdtbr0(X5),xK) )
& ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
| ( ? [X7] : aElementOf0(X7,X5)
& ~ equal(X5,slcrc0)
& ! [X8] :
( ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& aSubsetOf0(X5,szNzAzT0)
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& aSubsetOf0(X5,xS)
& ! [X10] :
( ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& aSubsetOf0(X5,xS)
& aElementOf0(X5,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) ) )
& ! [X11] :
( ~ aElementOf0(X11,xT)
| ! [X12] :
( ( ( ~ aSet0(X12)
| ? [X13] :
( aElementOf0(X13,X12)
& ~ aElementOf0(X13,xS) ) )
& ~ aSubsetOf0(X12,xS) )
| ~ isCountable0(X12)
| ? [X14] :
( aSet0(X14)
& ! [X15] :
( ~ aElementOf0(X15,X14)
| aElementOf0(X15,X12) )
& aSubsetOf0(X14,X12)
& equal(sbrdtbr0(X14),xK)
& aElementOf0(X14,slbdtsldtrb0(X12,xK))
& ~ equal(sdtlpdtrp0(xc,X14),X11) ) ) ) ),
inference(variable_rename,[status(thm)],[219]) ).
fof(221,negated_conjecture,
( ! [X5] :
( ( ( ( ( ~ aSet0(X5)
| ( aElementOf0(esk7_1(X5),X5)
& ~ aElementOf0(esk7_1(X5),xO) ) )
& ~ aSubsetOf0(X5,xO) )
| ~ equal(sbrdtbr0(X5),xK) )
& ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
| ( aElementOf0(esk8_1(X5),X5)
& ~ equal(X5,slcrc0)
& ! [X8] :
( ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& aSubsetOf0(X5,szNzAzT0)
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& aSubsetOf0(X5,xS)
& ! [X10] :
( ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& aSubsetOf0(X5,xS)
& aElementOf0(X5,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) ) )
& ! [X11] :
( ~ aElementOf0(X11,xT)
| ! [X12] :
( ( ( ~ aSet0(X12)
| ( aElementOf0(esk9_2(X11,X12),X12)
& ~ aElementOf0(esk9_2(X11,X12),xS) ) )
& ~ aSubsetOf0(X12,xS) )
| ~ isCountable0(X12)
| ( aSet0(esk10_2(X11,X12))
& ! [X15] :
( ~ aElementOf0(X15,esk10_2(X11,X12))
| aElementOf0(X15,X12) )
& aSubsetOf0(esk10_2(X11,X12),X12)
& equal(sbrdtbr0(esk10_2(X11,X12)),xK)
& aElementOf0(esk10_2(X11,X12),slbdtsldtrb0(X12,xK))
& ~ equal(sdtlpdtrp0(xc,esk10_2(X11,X12)),X11) ) ) ) ),
inference(skolemize,[status(esa)],[220]) ).
fof(222,negated_conjecture,
! [X5,X8,X9,X10,X11,X12,X15] :
( ( ( ( ~ aElementOf0(X15,esk10_2(X11,X12))
| aElementOf0(X15,X12) )
& aSet0(esk10_2(X11,X12))
& aSubsetOf0(esk10_2(X11,X12),X12)
& equal(sbrdtbr0(esk10_2(X11,X12)),xK)
& aElementOf0(esk10_2(X11,X12),slbdtsldtrb0(X12,xK))
& ~ equal(sdtlpdtrp0(xc,esk10_2(X11,X12)),X11) )
| ( ( ~ aSet0(X12)
| ( aElementOf0(esk9_2(X11,X12),X12)
& ~ aElementOf0(esk9_2(X11,X12),xS) ) )
& ~ aSubsetOf0(X12,xS) )
| ~ isCountable0(X12)
| ~ aElementOf0(X11,xT) )
& ( ( ( ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& ( ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& ( ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& aElementOf0(esk8_1(X5),X5)
& ~ equal(X5,slcrc0)
& aSubsetOf0(X5,szNzAzT0)
& aSubsetOf0(X5,xS)
& aSubsetOf0(X5,xS)
& aElementOf0(X5,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) )
| ( ( ( ( ~ aSet0(X5)
| ( aElementOf0(esk7_1(X5),X5)
& ~ aElementOf0(esk7_1(X5),xO) ) )
& ~ aSubsetOf0(X5,xO) )
| ~ equal(sbrdtbr0(X5),xK) )
& ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) ) ) ),
inference(shift_quantors,[status(thm)],[221]) ).
fof(223,negated_conjecture,
! [X5,X8,X9,X10,X11,X12,X15] :
( ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| ~ aElementOf0(X15,esk10_2(X11,X12))
| aElementOf0(X15,X12)
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| ~ aElementOf0(X15,esk10_2(X11,X12))
| aElementOf0(X15,X12)
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| ~ aElementOf0(X15,esk10_2(X11,X12))
| aElementOf0(X15,X12)
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aSet0(esk10_2(X11,X12))
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aSet0(esk10_2(X11,X12))
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| aSet0(esk10_2(X11,X12))
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aSubsetOf0(esk10_2(X11,X12),X12)
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aSubsetOf0(esk10_2(X11,X12),X12)
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| aSubsetOf0(esk10_2(X11,X12),X12)
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| equal(sbrdtbr0(esk10_2(X11,X12)),xK)
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| equal(sbrdtbr0(esk10_2(X11,X12)),xK)
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| equal(sbrdtbr0(esk10_2(X11,X12)),xK)
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aElementOf0(esk10_2(X11,X12),slbdtsldtrb0(X12,xK))
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| aElementOf0(esk10_2(X11,X12),slbdtsldtrb0(X12,xK))
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| aElementOf0(esk10_2(X11,X12),slbdtsldtrb0(X12,xK))
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk9_2(X11,X12),X12)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| ~ equal(sdtlpdtrp0(xc,esk10_2(X11,X12)),X11)
| ~ aElementOf0(X11,xT) )
& ( ~ aElementOf0(esk9_2(X11,X12),xS)
| ~ aSet0(X12)
| ~ isCountable0(X12)
| ~ equal(sdtlpdtrp0(xc,esk10_2(X11,X12)),X11)
| ~ aElementOf0(X11,xT) )
& ( ~ aSubsetOf0(X12,xS)
| ~ isCountable0(X12)
| ~ equal(sdtlpdtrp0(xc,esk10_2(X11,X12)),X11)
| ~ aElementOf0(X11,xT) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| ~ aElementOf0(X10,X5)
| aElementOf0(X10,xS) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| ~ aElementOf0(X9,X5)
| aElementOf0(X9,xS) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| ~ aElementOf0(X8,X5)
| aElementOf0(X8,szNzAzT0) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(esk8_1(X5),X5) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(esk8_1(X5),X5) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(esk8_1(X5),X5) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| aElementOf0(esk8_1(X5),X5) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ equal(X5,slcrc0) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| ~ equal(X5,slcrc0) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| ~ equal(X5,slcrc0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| ~ equal(X5,slcrc0) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,szNzAzT0) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,szNzAzT0) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| aSubsetOf0(X5,szNzAzT0) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| aSubsetOf0(X5,xS) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| aSubsetOf0(X5,xS) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| aSubsetOf0(X5,xS) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(X5,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(X5,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| aElementOf0(X5,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| aElementOf0(X5,szDzozmdt0(xc)) )
& ( aElementOf0(esk7_1(X5),X5)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) )
& ( ~ aElementOf0(esk7_1(X5),xO)
| ~ aSet0(X5)
| ~ equal(sbrdtbr0(X5),xK)
| equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) )
& ( ~ aSubsetOf0(X5,xO)
| ~ equal(sbrdtbr0(X5),xK)
| equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xO,xK))
| equal(sdtlpdtrp0(xc,X5),szDzizrdt0(xd)) ) ),
inference(distribute,[status(thm)],[222]) ).
cnf(224,negated_conjecture,
( sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(xO,xK)) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(264,negated_conjecture,
( ~ aElementOf0(X1,xT)
| sdtlpdtrp0(xc,esk10_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(267,negated_conjecture,
( aElementOf0(esk10_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[223]) ).
fof(304,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X1,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd))
| aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(305,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(variable_rename,[status(thm)],[304]) ).
fof(306,plain,
! [X2] :
( ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X2,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(shift_quantors,[status(thm)],[305]) ).
fof(307,plain,
! [X2] :
( ( aElementOf0(X2,szDzozmdt0(xd))
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X2),szDzizrdt0(xd))
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(distribute,[status(thm)],[306]) ).
cnf(309,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[307]) ).
fof(416,plain,
( ! [X1] :
( ~ aElementOf0(X1,xO)
| aElementOf0(X1,xS) )
& aSubsetOf0(xO,xS) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(417,plain,
( ! [X2] :
( ~ aElementOf0(X2,xO)
| aElementOf0(X2,xS) )
& aSubsetOf0(xO,xS) ),
inference(variable_rename,[status(thm)],[416]) ).
fof(418,plain,
! [X2] :
( ( ~ aElementOf0(X2,xO)
| aElementOf0(X2,xS) )
& aSubsetOf0(xO,xS) ),
inference(shift_quantors,[status(thm)],[417]) ).
cnf(419,plain,
aSubsetOf0(xO,xS),
inference(split_conjunct,[status(thm)],[418]) ).
cnf(448,plain,
isCountable0(xO),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(6732,negated_conjecture,
( sdtlpdtrp0(xc,esk10_2(X1,xO)) = szDzizrdt0(xd)
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[224,267,theory(equality)]) ).
cnf(6759,negated_conjecture,
( sdtlpdtrp0(xc,esk10_2(X1,xO)) = szDzizrdt0(xd)
| $false
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[6732,448,theory(equality)]) ).
cnf(6760,negated_conjecture,
( sdtlpdtrp0(xc,esk10_2(X1,xO)) = szDzizrdt0(xd)
| $false
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[6759,419,theory(equality)]) ).
cnf(6761,negated_conjecture,
( sdtlpdtrp0(xc,esk10_2(X1,xO)) = szDzizrdt0(xd)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[6760,theory(equality)]) ).
cnf(160670,negated_conjecture,
( szDzizrdt0(xd) != X1
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[264,6761,theory(equality)]) ).
cnf(160679,negated_conjecture,
( szDzizrdt0(xd) != X1
| $false
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[160670,448,theory(equality)]) ).
cnf(160680,negated_conjecture,
( szDzizrdt0(xd) != X1
| $false
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[160679,419,theory(equality)]) ).
cnf(160681,negated_conjecture,
( szDzizrdt0(xd) != X1
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[160680,theory(equality)]) ).
cnf(161048,plain,
$false,
inference(spm,[status(thm)],[160681,309,theory(equality)]) ).
cnf(161078,plain,
$false,
161048,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM633+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 : n124.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 12:31:04 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 9.98/10.26 -running prover on /export/starexec/sandbox2/tmp/tmpB6WMdM/sel_theBenchmark.p_1 with time limit 29
% 9.98/10.26 -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/tmpB6WMdM/sel_theBenchmark.p_1']
% 9.98/10.26 -prover status Theorem
% 9.98/10.26 Problem theBenchmark.p solved in phase 0.
% 9.98/10.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.98/10.26 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.98/10.26 Solved 1 out of 1.
% 9.98/10.26 # Problem is unsatisfiable (or provable), constructing proof object
% 9.98/10.26 # SZS status Theorem
% 9.98/10.26 # SZS output start CNFRefutation.
% See solution above
% 9.98/10.26 # SZS output end CNFRefutation
%------------------------------------------------------------------------------