TSTP Solution File: NUM601+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM601+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n036.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 15:21:57 EST 2018
% Result : Theorem 0.43s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 14 unt; 0 def)
% Number of atoms : 412 ( 16 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 506 ( 194 ~; 204 |; 92 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 77 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& ~ equal(X1,slcrc0) )
=> ! [X2] :
( equal(X2,szmzizndt0(X1))
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mDefMin) ).
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/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/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__4891) ).
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__4660) ).
fof(15,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mZeroNum) ).
fof(18,conjecture,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__) ).
fof(21,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__3435) ).
fof(54,axiom,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__4982) ).
fof(63,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__3754) ).
fof(70,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',m__3623) ).
fof(78,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mZeroLess) ).
fof(79,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ equal(X1,slcrc0) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mCountNFin_01) ).
fof(80,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mNATSet) ).
fof(91,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1',mDefEmp) ).
fof(99,negated_conjecture,
~ aSubsetOf0(xO,xS),
inference(assume_negation,[status(cth)],[18]) ).
fof(101,negated_conjecture,
~ aSubsetOf0(xO,xS),
inference(fof_simplification,[status(thm)],[99,theory(equality)]) ).
fof(121,plain,
! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| equal(X1,slcrc0)
| ! [X2] :
( ( ~ equal(X2,szmzizndt0(X1))
| ( aElementOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X2,X3) ) ) )
& ( ~ aElementOf0(X2,X1)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X2,X3) )
| equal(X2,szmzizndt0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(122,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ? [X7] :
( aElementOf0(X7,X4)
& ~ sdtlseqdt0(X5,X7) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[122]) ).
fof(124,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzizndt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[123]) ).
fof(125,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(X5,X4)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(esk1_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(X5,esk1_2(X4,X5))
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[124]) ).
cnf(128,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(130,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(131,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[131]) ).
cnf(133,plain,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(134,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(139,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(140,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)],[139]) ).
fof(141,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)],[140]) ).
fof(142,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)],[141]) ).
fof(143,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)],[142]) ).
cnf(144,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(145,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(146,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(147,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(165,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
fof(175,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(176,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[176]) ).
cnf(180,plain,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(184,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(195,negated_conjecture,
~ aSubsetOf0(xO,xS),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(206,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[21]) ).
fof(369,plain,
! [X1] :
( ~ aElementOf0(X1,xO)
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(370,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ? [X4] :
( aElementOf0(X4,szNzAzT0)
& aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X4),X3) ) ),
inference(variable_rename,[status(thm)],[369]) ).
fof(371,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ( aElementOf0(esk18_1(X3),szNzAzT0)
& aElementOf0(esk18_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk18_1(X3)),X3) ) ),
inference(skolemize,[status(esa)],[370]) ).
fof(372,plain,
! [X3] :
( ( aElementOf0(esk18_1(X3),szNzAzT0)
| ~ aElementOf0(X3,xO) )
& ( aElementOf0(esk18_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X3,xO) )
& ( equal(sdtlpdtrp0(xe,esk18_1(X3)),X3)
| ~ aElementOf0(X3,xO) ) ),
inference(distribute,[status(thm)],[371]) ).
cnf(373,plain,
( sdtlpdtrp0(xe,esk18_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[372]) ).
cnf(375,plain,
( aElementOf0(esk18_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[372]) ).
fof(413,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(414,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X4,X3)
| aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) ),
inference(variable_rename,[status(thm)],[413]) ).
cnf(415,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[414]) ).
fof(438,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(439,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) ) ),
inference(variable_rename,[status(thm)],[438]) ).
fof(440,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[439]) ).
fof(441,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[440]) ).
cnf(442,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[441]) ).
fof(475,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(476,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[475]) ).
cnf(477,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[476]) ).
fof(478,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ equal(X1,slcrc0) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(479,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ equal(X2,slcrc0) ),
inference(variable_rename,[status(thm)],[478]) ).
cnf(480,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[479]) ).
cnf(482,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[80]) ).
fof(519,plain,
! [X1] :
( ( ~ equal(X1,slcrc0)
| ( aSet0(X1)
& ! [X2] : ~ aElementOf0(X2,X1) ) )
& ( ~ aSet0(X1)
| ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) ) ),
inference(fof_nnf,[status(thm)],[91]) ).
fof(520,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| ? [X5] : aElementOf0(X5,X3)
| equal(X3,slcrc0) ) ),
inference(variable_rename,[status(thm)],[519]) ).
fof(521,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk24_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[520]) ).
fof(522,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk24_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[521]) ).
fof(523,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk24_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[522]) ).
cnf(525,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[523]) ).
cnf(581,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[146,206,theory(equality)]) ).
cnf(584,plain,
( aSet0(xS)
| $false ),
inference(rw,[status(thm)],[581,482,theory(equality)]) ).
cnf(585,plain,
aSet0(xS),
inference(cn,[status(thm)],[584,theory(equality)]) ).
cnf(591,plain,
( slcrc0 != X1
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[480,525]) ).
cnf(692,plain,
( slcrc0 != sdtlpdtrp0(xN,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[591,133,theory(equality)]) ).
cnf(761,plain,
( slcrc0 = sdtlpdtrp0(xN,X1)
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlpdtrp0(xe,X1) != X2
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[128,180,theory(equality)]) ).
cnf(1094,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ sdtlseqdt0(sz00,X1)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[415,442,theory(equality)]) ).
cnf(1102,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ sdtlseqdt0(sz00,X1)
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[1094,184,theory(equality)]) ).
cnf(1103,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[1102,theory(equality)]) ).
cnf(3138,plain,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlpdtrp0(xe,X1) != X2
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[761,134]) ).
cnf(3139,plain,
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlpdtrp0(xe,X1) != X2
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[3138,692]) ).
cnf(3935,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[1103,477]) ).
cnf(3940,plain,
( aElementOf0(X1,xS)
| ~ aSet0(xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[147,3935,theory(equality)]) ).
cnf(3956,plain,
( aElementOf0(X1,xS)
| $false
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[3940,585,theory(equality)]) ).
cnf(3957,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[3956,theory(equality)]) ).
cnf(11890,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlpdtrp0(xe,X2) != X1 ),
inference(spm,[status(thm)],[3957,3139,theory(equality)]) ).
cnf(12018,plain,
( aElementOf0(X1,xS)
| X2 != X1
| ~ aElementOf0(esk18_1(X2),szNzAzT0)
| ~ aElementOf0(X2,xO) ),
inference(spm,[status(thm)],[11890,373,theory(equality)]) ).
cnf(12021,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(esk18_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(er,[status(thm)],[12018,theory(equality)]) ).
cnf(12081,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xO) ),
inference(csr,[status(thm)],[12021,375]) ).
cnf(12084,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(esk2_2(xS,X1),xO) ),
inference(spm,[status(thm)],[144,12081,theory(equality)]) ).
cnf(12097,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk2_2(xS,X1),xO) ),
inference(rw,[status(thm)],[12084,585,theory(equality)]) ).
cnf(12098,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aElementOf0(esk2_2(xS,X1),xO) ),
inference(cn,[status(thm)],[12097,theory(equality)]) ).
cnf(12116,plain,
( aSubsetOf0(xO,xS)
| ~ aSet0(xO)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[12098,145,theory(equality)]) ).
cnf(12118,plain,
( aSubsetOf0(xO,xS)
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[12116,165,theory(equality)]) ).
cnf(12119,plain,
( aSubsetOf0(xO,xS)
| $false
| $false ),
inference(rw,[status(thm)],[12118,585,theory(equality)]) ).
cnf(12120,plain,
aSubsetOf0(xO,xS),
inference(cn,[status(thm)],[12119,theory(equality)]) ).
cnf(12121,plain,
$false,
inference(sr,[status(thm)],[12120,195,theory(equality)]) ).
cnf(12122,plain,
$false,
12121,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM601+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 : n036.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 11:18:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.43/0.71 -running prover on /export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1 with time limit 29
% 0.43/0.71 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpLIjFh2/sel_theBenchmark.p_1']
% 0.43/0.71 -prover status Theorem
% 0.43/0.71 Problem theBenchmark.p solved in phase 0.
% 0.43/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.71 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.71 Solved 1 out of 1.
% 0.43/0.71 # Problem is unsatisfiable (or provable), constructing proof object
% 0.43/0.71 # SZS status Theorem
% 0.43/0.71 # SZS output start CNFRefutation.
% See solution above
% 0.43/0.72 # SZS output end CNFRefutation
%------------------------------------------------------------------------------