TSTP Solution File: SEU311+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU311+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 07:06:33 EST 2010
% Result : Theorem 2.92s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 6
% Syntax : Number of formulae : 82 ( 12 unt; 0 def)
% Number of atoms : 364 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 465 ( 183 ~; 204 |; 60 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 2 sgn 59 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',l71_subset_1) ).
fof(12,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',t7_boole) ).
fof(17,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',fc1_subset_1) ).
fof(26,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',d2_subset_1) ).
fof(30,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(35,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
file('/tmp/tmpYgNLX5/sel_SEU311+1.p_1',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(47,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[30]) ).
fof(50,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(51,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(59,plain,
! [X1,X2] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| element(X1,powerset(X2)) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(60,plain,
! [X4,X5] :
( ? [X6] :
( in(X6,X4)
& ~ in(X6,X5) )
| element(X4,powerset(X5)) ),
inference(variable_rename,[status(thm)],[59]) ).
fof(61,plain,
! [X4,X5] :
( ( in(esk1_2(X4,X5),X4)
& ~ in(esk1_2(X4,X5),X5) )
| element(X4,powerset(X5)) ),
inference(skolemize,[status(esa)],[60]) ).
fof(62,plain,
! [X4,X5] :
( ( in(esk1_2(X4,X5),X4)
| element(X4,powerset(X5)) )
& ( ~ in(esk1_2(X4,X5),X5)
| element(X4,powerset(X5)) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(63,plain,
( element(X1,powerset(X2))
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,plain,
( element(X1,powerset(X2))
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(95,plain,
! [X1,X2] :
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(96,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[95]) ).
cnf(97,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(113,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[50]) ).
cnf(114,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[113]) ).
fof(154,plain,
! [X1,X2] :
( ( empty(X1)
| ( ( ~ element(X2,X1)
| in(X2,X1) )
& ( ~ in(X2,X1)
| element(X2,X1) ) ) )
& ( ~ empty(X1)
| ( ( ~ element(X2,X1)
| empty(X2) )
& ( ~ empty(X2)
| element(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(155,plain,
! [X3,X4] :
( ( empty(X3)
| ( ( ~ element(X4,X3)
| in(X4,X3) )
& ( ~ in(X4,X3)
| element(X4,X3) ) ) )
& ( ~ empty(X3)
| ( ( ~ element(X4,X3)
| empty(X4) )
& ( ~ empty(X4)
| element(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[154]) ).
fof(156,plain,
! [X3,X4] :
( ( ~ element(X4,X3)
| in(X4,X3)
| empty(X3) )
& ( ~ in(X4,X3)
| element(X4,X3)
| empty(X3) )
& ( ~ element(X4,X3)
| empty(X4)
| ~ empty(X3) )
& ( ~ empty(X4)
| element(X4,X3)
| ~ empty(X3) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(159,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(160,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(178,negated_conjecture,
? [X1,X2] :
( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1))))
& ! [X3] :
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ? [X4] :
( element(X4,powerset(the_carrier(X1)))
& ( ~ in(X4,X3)
| ~ in(set_difference(cast_as_carrier_subset(X1),X4),X2) )
& ( in(X4,X3)
| in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(179,negated_conjecture,
? [X5,X6] :
( topological_space(X5)
& top_str(X5)
& element(X6,powerset(powerset(the_carrier(X5))))
& ! [X7] :
( ~ element(X7,powerset(powerset(the_carrier(X5))))
| ? [X8] :
( element(X8,powerset(the_carrier(X5)))
& ( ~ in(X8,X7)
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6) )
& ( in(X8,X7)
| in(set_difference(cast_as_carrier_subset(X5),X8),X6) ) ) ) ),
inference(variable_rename,[status(thm)],[178]) ).
fof(180,negated_conjecture,
( topological_space(esk5_0)
& top_str(esk5_0)
& element(esk6_0,powerset(powerset(the_carrier(esk5_0))))
& ! [X7] :
( ~ element(X7,powerset(powerset(the_carrier(esk5_0))))
| ( element(esk7_1(X7),powerset(the_carrier(esk5_0)))
& ( ~ in(esk7_1(X7),X7)
| ~ in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0) )
& ( in(esk7_1(X7),X7)
| in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0) ) ) ) ),
inference(skolemize,[status(esa)],[179]) ).
fof(181,negated_conjecture,
! [X7] :
( ( ~ element(X7,powerset(powerset(the_carrier(esk5_0))))
| ( element(esk7_1(X7),powerset(the_carrier(esk5_0)))
& ( ~ in(esk7_1(X7),X7)
| ~ in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0) )
& ( in(esk7_1(X7),X7)
| in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0) ) ) )
& topological_space(esk5_0)
& top_str(esk5_0)
& element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(shift_quantors,[status(thm)],[180]) ).
fof(182,negated_conjecture,
! [X7] :
( ( element(esk7_1(X7),powerset(the_carrier(esk5_0)))
| ~ element(X7,powerset(powerset(the_carrier(esk5_0)))) )
& ( ~ in(esk7_1(X7),X7)
| ~ in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0)
| ~ element(X7,powerset(powerset(the_carrier(esk5_0)))) )
& ( in(esk7_1(X7),X7)
| in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X7)),esk6_0)
| ~ element(X7,powerset(powerset(the_carrier(esk5_0)))) )
& topological_space(esk5_0)
& top_str(esk5_0)
& element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(distribute,[status(thm)],[181]) ).
cnf(183,negated_conjecture,
element(esk6_0,powerset(powerset(the_carrier(esk5_0)))),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(184,negated_conjecture,
top_str(esk5_0),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(185,negated_conjecture,
topological_space(esk5_0),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(186,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X1)),esk6_0)
| in(esk7_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(187,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk5_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X1)),esk6_0)
| ~ in(esk7_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(188,negated_conjecture,
( element(esk7_1(X1),powerset(the_carrier(esk5_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(split_conjunct,[status(thm)],[182]) ).
fof(204,plain,
! [X1,X2] :
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3] :
! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) )
& ( ~ in(X4,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X4),X2)
| in(X4,X3) ) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(205,plain,
! [X5,X6] :
( ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5))))
| ? [X7] :
! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,powerset(the_carrier(X5)))
& in(set_difference(cast_as_carrier_subset(X5),X8),X6) ) )
& ( ~ in(X8,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| in(X8,X7) ) ) ),
inference(variable_rename,[status(thm)],[204]) ).
fof(206,plain,
! [X5,X6] :
( ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5))))
| ! [X8] :
( ( ~ in(X8,esk8_2(X5,X6))
| ( in(X8,powerset(the_carrier(X5)))
& in(set_difference(cast_as_carrier_subset(X5),X8),X6) ) )
& ( ~ in(X8,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| in(X8,esk8_2(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[205]) ).
fof(207,plain,
! [X5,X6,X8] :
( ( ( ~ in(X8,esk8_2(X5,X6))
| ( in(X8,powerset(the_carrier(X5)))
& in(set_difference(cast_as_carrier_subset(X5),X8),X6) ) )
& ( ~ in(X8,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| in(X8,esk8_2(X5,X6)) ) )
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) ),
inference(shift_quantors,[status(thm)],[206]) ).
fof(208,plain,
! [X5,X6,X8] :
( ( in(X8,powerset(the_carrier(X5)))
| ~ in(X8,esk8_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| ~ in(X8,esk8_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( ~ in(X8,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| in(X8,esk8_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) ) ),
inference(distribute,[status(thm)],[207]) ).
cnf(209,plain,
( in(X3,esk8_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[208]) ).
cnf(210,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[208]) ).
cnf(211,plain,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[208]) ).
cnf(270,plain,
( element(X2,X1)
| ~ in(X2,X1) ),
inference(csr,[status(thm)],[159,97]) ).
cnf(501,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk6_0)),esk6_0)
| in(esk7_1(esk6_0),esk6_0) ),
inference(spm,[status(thm)],[186,183,theory(equality)]) ).
cnf(506,negated_conjecture,
( empty(esk6_0)
| ~ element(X1,powerset(powerset(the_carrier(esk5_0))))
| ~ in(esk7_1(X1),X1)
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X1)),esk6_0) ),
inference(spm,[status(thm)],[187,160,theory(equality)]) ).
cnf(508,plain,
( in(esk1_2(esk8_2(X1,X2),X3),powerset(the_carrier(X1)))
| element(esk8_2(X1,X2),powerset(X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[211,64,theory(equality)]) ).
cnf(511,plain,
( element(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ in(X2,esk8_2(X1,X3)) ),
inference(spm,[status(thm)],[270,210,theory(equality)]) ).
cnf(518,plain,
( in(X1,esk8_2(X2,X3))
| empty(X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,powerset(the_carrier(X2)))
| ~ element(set_difference(cast_as_carrier_subset(X2),X1),X3) ),
inference(spm,[status(thm)],[209,160,theory(equality)]) ).
cnf(662,negated_conjecture,
( in(esk7_1(esk6_0),esk6_0)
| ~ empty(esk6_0) ),
inference(spm,[status(thm)],[97,501,theory(equality)]) ).
cnf(689,negated_conjecture,
~ empty(esk6_0),
inference(csr,[status(thm)],[662,97]) ).
cnf(1541,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk5_0))))
| ~ in(esk7_1(X1),X1)
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(X1)),esk6_0) ),
inference(sr,[status(thm)],[506,689,theory(equality)]) ).
cnf(1591,plain,
( element(esk8_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[63,508,theory(equality)]) ).
cnf(3582,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,X1))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,X1)),esk8_2(esk5_0,X1))
| ~ topological_space(esk5_0)
| ~ top_str(esk5_0)
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(spm,[status(thm)],[186,1591,theory(equality)]) ).
cnf(3586,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,X1))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,X1)),esk8_2(esk5_0,X1))
| $false
| ~ top_str(esk5_0)
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[3582,185,theory(equality)]) ).
cnf(3587,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,X1))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,X1)),esk8_2(esk5_0,X1))
| $false
| $false
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[3586,184,theory(equality)]) ).
cnf(3588,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,X1))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,X1)),esk8_2(esk5_0,X1))
| ~ element(X1,powerset(powerset(the_carrier(esk5_0)))) ),
inference(cn,[status(thm)],[3587,theory(equality)]) ).
cnf(24513,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,esk6_0)),esk8_2(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[3588,183,theory(equality)]) ).
cnf(24554,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| in(esk7_1(esk8_2(esk5_0,esk6_0)),esk8_2(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[270,24513,theory(equality)]) ).
cnf(24606,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| ~ topological_space(esk5_0)
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(spm,[status(thm)],[511,24554,theory(equality)]) ).
cnf(24621,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| $false
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[24606,185,theory(equality)]) ).
cnf(24622,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| $false
| $false
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[24621,184,theory(equality)]) ).
cnf(24623,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[24622,183,theory(equality)]) ).
cnf(24624,negated_conjecture,
element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0),
inference(cn,[status(thm)],[24623,theory(equality)]) ).
cnf(24667,negated_conjecture,
( ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),esk8_2(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[1541,24624,theory(equality)]) ).
cnf(27231,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ topological_space(esk5_0)
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0))))
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(spm,[status(thm)],[24667,518,theory(equality)]) ).
cnf(27239,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| $false
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0))))
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(rw,[status(thm)],[27231,185,theory(equality)]) ).
cnf(27240,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| $false
| $false
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0))))
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(rw,[status(thm)],[27239,184,theory(equality)]) ).
cnf(27241,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| $false
| $false
| $false
| ~ element(set_difference(cast_as_carrier_subset(esk5_0),esk7_1(esk8_2(esk5_0,esk6_0))),esk6_0)
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(rw,[status(thm)],[27240,183,theory(equality)]) ).
cnf(27242,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| $false
| $false
| $false
| $false
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(rw,[status(thm)],[27241,24624,theory(equality)]) ).
cnf(27243,negated_conjecture,
( empty(esk6_0)
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(cn,[status(thm)],[27242,theory(equality)]) ).
cnf(27244,negated_conjecture,
( ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ in(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(sr,[status(thm)],[27243,689,theory(equality)]) ).
cnf(27261,negated_conjecture,
( empty(powerset(the_carrier(esk5_0)))
| ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ element(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(spm,[status(thm)],[27244,160,theory(equality)]) ).
cnf(27267,negated_conjecture,
( ~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0))))
| ~ element(esk7_1(esk8_2(esk5_0,esk6_0)),powerset(the_carrier(esk5_0))) ),
inference(sr,[status(thm)],[27261,114,theory(equality)]) ).
cnf(27398,negated_conjecture,
~ element(esk8_2(esk5_0,esk6_0),powerset(powerset(the_carrier(esk5_0)))),
inference(csr,[status(thm)],[27267,188]) ).
cnf(27403,negated_conjecture,
( ~ topological_space(esk5_0)
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(spm,[status(thm)],[27398,1591,theory(equality)]) ).
cnf(27417,negated_conjecture,
( $false
| ~ top_str(esk5_0)
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[27403,185,theory(equality)]) ).
cnf(27418,negated_conjecture,
( $false
| $false
| ~ element(esk6_0,powerset(powerset(the_carrier(esk5_0)))) ),
inference(rw,[status(thm)],[27417,184,theory(equality)]) ).
cnf(27419,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[27418,183,theory(equality)]) ).
cnf(27420,negated_conjecture,
$false,
inference(cn,[status(thm)],[27419,theory(equality)]) ).
cnf(27421,negated_conjecture,
$false,
27420,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU311+1.p
% --creating new selector for []
% -running prover on /tmp/tmpYgNLX5/sel_SEU311+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU311+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU311+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU311+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------