%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM592+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n126.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 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 13 unt; 0 def)
% Number of atoms : 443 ( 16 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 601 ( 243 ~; 257 |; 90 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn 67 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
( equal(xY,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(xd,sdtlpdtrp0(xC,xi)) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',m__4448_02) ).
fof(8,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',mDefSub) ).
fof(16,axiom,
( aSubsetOf0(xY,szNzAzT0)
& isCountable0(xY)
& aFunction0(xd)
& equal(szDzozmdt0(xd),slbdtsldtrb0(xY,xk))
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',m__4482) ).
fof(17,conjecture,
? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',m__) ).
fof(18,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',m__3533) ).
fof(48,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/tmpI2Y5fV/sel_theBenchmark.p_1',mDefSel) ).
fof(75,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',mNATSet) ).
fof(88,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',mSubTrans) ).
fof(90,axiom,
( aElementOf0(xu,xT)
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(xX,xk)) )
=> equal(sdtlpdtrp0(xd,X1),xu) ) ),
file('/export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1',m__4545) ).
fof(95,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),X1) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
cnf(104,plain,
xd = sdtlpdtrp0(xC,xi),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(105,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(split_conjunct,[status(thm)],[2]) ).
fof(136,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)],[8]) ).
fof(137,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)],[136]) ).
fof(138,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)],[137]) ).
fof(139,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)],[138]) ).
fof(140,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)],[139]) ).
cnf(143,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(179,plain,
aSubsetOf0(xY,szNzAzT0),
inference(split_conjunct,[status(thm)],[16]) ).
fof(180,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2)
| ? [X3] :
( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),X1) ) ) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(181,negated_conjecture,
! [X4] :
( ~ aElementOf0(X4,xT)
| ! [X5] :
( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ? [X6] :
( aSet0(X6)
& aElementOf0(X6,slbdtsldtrb0(X5,xk))
& ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X6),X4) ) ) ),
inference(variable_rename,[status(thm)],[180]) ).
fof(182,negated_conjecture,
! [X4] :
( ~ aElementOf0(X4,xT)
| ! [X5] :
( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ( aSet0(esk5_2(X4,X5))
& aElementOf0(esk5_2(X4,X5),slbdtsldtrb0(X5,xk))
& ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk5_2(X4,X5)),X4) ) ) ),
inference(skolemize,[status(esa)],[181]) ).
fof(183,negated_conjecture,
! [X4,X5] :
( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ( aSet0(esk5_2(X4,X5))
& aElementOf0(esk5_2(X4,X5),slbdtsldtrb0(X5,xk))
& ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk5_2(X4,X5)),X4) )
| ~ aElementOf0(X4,xT) ),
inference(shift_quantors,[status(thm)],[182]) ).
fof(184,negated_conjecture,
! [X4,X5] :
( ( aSet0(esk5_2(X4,X5))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ~ aElementOf0(X4,xT) )
& ( aElementOf0(esk5_2(X4,X5),slbdtsldtrb0(X5,xk))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ~ aElementOf0(X4,xT) )
& ( ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk5_2(X4,X5)),X4)
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X5)
| ~ aElementOf0(X4,xT) ) ),
inference(distribute,[status(thm)],[183]) ).
cnf(185,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk5_2(X1,X2)) != X1 ),
inference(split_conjunct,[status(thm)],[184]) ).
cnf(186,negated_conjecture,
( aElementOf0(esk5_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[184]) ).
cnf(189,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[18]) ).
fof(335,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)],[48]) ).
fof(336,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)],[335]) ).
fof(337,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(esk15_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk15_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk15_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk15_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[336]) ).
fof(338,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(esk15_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk15_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk15_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk15_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[337]) ).
fof(339,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(esk15_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk15_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk15_3(X5,X6,X7),X5)
| aElementOf0(esk15_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk15_3(X5,X6,X7)),X6)
| aElementOf0(esk15_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[338]) ).
cnf(346,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[339]) ).
cnf(451,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[75]) ).
fof(499,plain,
! [X1,X2,X3] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| aSubsetOf0(X1,X3) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(500,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[499]) ).
cnf(501,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[500]) ).
fof(505,plain,
( aElementOf0(xu,xT)
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xX,xk))
| equal(sdtlpdtrp0(xd,X1),xu) ) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(506,plain,
( aElementOf0(xu,xT)
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [X2] :
( ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xX,xk))
| equal(sdtlpdtrp0(xd,X2),xu) ) ),
inference(variable_rename,[status(thm)],[505]) ).
fof(507,plain,
! [X2] :
( ( ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xX,xk))
| equal(sdtlpdtrp0(xd,X2),xu) )
& aElementOf0(xu,xT)
& aSubsetOf0(xX,xY)
& isCountable0(xX) ),
inference(shift_quantors,[status(thm)],[506]) ).
cnf(508,plain,
isCountable0(xX),
inference(split_conjunct,[status(thm)],[507]) ).
cnf(509,plain,
aSubsetOf0(xX,xY),
inference(split_conjunct,[status(thm)],[507]) ).
cnf(510,plain,
aElementOf0(xu,xT),
inference(split_conjunct,[status(thm)],[507]) ).
cnf(511,plain,
( sdtlpdtrp0(xd,X1) = xu
| ~ aElementOf0(X1,slbdtsldtrb0(xX,xk))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[507]) ).
cnf(534,plain,
( aSet0(xY)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[143,179,theory(equality)]) ).
cnf(536,plain,
( aSet0(xX)
| ~ aSet0(xY) ),
inference(spm,[status(thm)],[143,509,theory(equality)]) ).
cnf(538,plain,
( aSet0(xY)
| $false ),
inference(rw,[status(thm)],[534,451,theory(equality)]) ).
cnf(539,plain,
aSet0(xY),
inference(cn,[status(thm)],[538,theory(equality)]) ).
cnf(745,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[501,143]) ).
cnf(746,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[745,143]) ).
cnf(747,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xY)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[746,179,theory(equality)]) ).
cnf(754,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xY)
| $false ),
inference(rw,[status(thm)],[747,451,theory(equality)]) ).
cnf(755,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xY) ),
inference(cn,[status(thm)],[754,theory(equality)]) ).
cnf(836,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3)) ),
inference(er,[status(thm)],[346,theory(equality)]) ).
cnf(927,negated_conjecture,
( aElementOf0(esk5_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
inference(rw,[status(thm)],[186,105,theory(equality)]) ).
cnf(931,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,xX)) = xu
| ~ aSet0(esk5_2(X1,xX))
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[511,927,theory(equality)]) ).
cnf(936,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,xX)) = xu
| ~ aSet0(esk5_2(X1,xX))
| $false
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[931,508,theory(equality)]) ).
cnf(937,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,xX)) = xu
| ~ aSet0(esk5_2(X1,xX))
| $false
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[936,509,theory(equality)]) ).
cnf(938,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,xX)) = xu
| ~ aSet0(esk5_2(X1,xX))
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[937,theory(equality)]) ).
cnf(1322,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(rw,[status(thm)],[185,104,theory(equality)]) ).
cnf(1323,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
inference(rw,[status(thm)],[1322,105,theory(equality)]) ).
cnf(1677,plain,
( aSet0(xX)
| $false ),
inference(rw,[status(thm)],[536,539,theory(equality)]) ).
cnf(1678,plain,
aSet0(xX),
inference(cn,[status(thm)],[1677,theory(equality)]) ).
cnf(1900,plain,
aSubsetOf0(xX,szNzAzT0),
inference(spm,[status(thm)],[755,509,theory(equality)]) ).
cnf(1918,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xX)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[746,1900,theory(equality)]) ).
cnf(1930,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xX)
| $false ),
inference(rw,[status(thm)],[1918,451,theory(equality)]) ).
cnf(1931,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,xX) ),
inference(cn,[status(thm)],[1930,theory(equality)]) ).
cnf(3681,negated_conjecture,
( aSubsetOf0(esk5_2(X1,X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(xk,szNzAzT0)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xY)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[836,927,theory(equality)]) ).
cnf(3698,negated_conjecture,
( aSubsetOf0(esk5_2(X1,X2),X2)
| ~ aSet0(X2)
| $false
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xY)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[3681,189,theory(equality)]) ).
cnf(3699,negated_conjecture,
( aSubsetOf0(esk5_2(X1,X2),X2)
| ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xY)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[3698,theory(equality)]) ).
cnf(5009,negated_conjecture,
( aSubsetOf0(esk5_2(X1,xX),szNzAzT0)
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aSet0(xX)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[1931,3699,theory(equality)]) ).
cnf(5032,negated_conjecture,
( aSubsetOf0(esk5_2(X1,xX),szNzAzT0)
| $false
| ~ aSubsetOf0(xX,xY)
| ~ aSet0(xX)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5009,508,theory(equality)]) ).
cnf(5033,negated_conjecture,
( aSubsetOf0(esk5_2(X1,xX),szNzAzT0)
| $false
| $false
| ~ aSet0(xX)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5032,509,theory(equality)]) ).
cnf(5034,negated_conjecture,
( aSubsetOf0(esk5_2(X1,xX),szNzAzT0)
| $false
| $false
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5033,1678,theory(equality)]) ).
cnf(5035,negated_conjecture,
( aSubsetOf0(esk5_2(X1,xX),szNzAzT0)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[5034,theory(equality)]) ).
cnf(5060,negated_conjecture,
( aSet0(esk5_2(X1,xX))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[143,5035,theory(equality)]) ).
cnf(5071,negated_conjecture,
( aSet0(esk5_2(X1,xX))
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5060,451,theory(equality)]) ).
cnf(5072,negated_conjecture,
( aSet0(esk5_2(X1,xX))
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[5071,theory(equality)]) ).
cnf(5857,negated_conjecture,
( sdtlpdtrp0(xd,esk5_2(X1,xX)) = xu
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[938,5072]) ).
cnf(5860,negated_conjecture,
( xu != X1
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[1323,5857,theory(equality)]) ).
cnf(5869,negated_conjecture,
( xu != X1
| $false
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5860,508,theory(equality)]) ).
cnf(5870,negated_conjecture,
( xu != X1
| $false
| $false
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[5869,509,theory(equality)]) ).
cnf(5871,negated_conjecture,
( xu != X1
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[5870,theory(equality)]) ).
cnf(5876,plain,
$false,
inference(spm,[status(thm)],[5871,510,theory(equality)]) ).
cnf(5888,plain,
$false,
5876,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM592+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n126.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 09:58:45 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.53 -running prover on /export/starexec/sandbox2/tmp/tmpI2Y5fV/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.53 -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/tmpI2Y5fV/sel_theBenchmark.p_1']
% 0.07/0.53 -prover status Theorem
% 0.07/0.53 Problem theBenchmark.p solved in phase 0.
% 0.07/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.53 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.53 Solved 1 out of 1.
% 0.07/0.53 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.53 # SZS status Theorem
% 0.07/0.53 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.54 # SZS output end CNFRefutation
%------------------------------------------------------------------------------