%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU315+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 07:11:30 EST 2010
% Result : Theorem 76.62s
% Output : CNFRefutation 76.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 6
% Syntax : Number of formulae : 164 ( 14 unt; 0 def)
% Number of atoms : 848 ( 86 equ)
% Maximal formula atoms : 34 ( 5 avg)
% Number of connectives : 1145 ( 461 ~; 567 |; 99 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 237 ( 3 sgn 69 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',l71_subset_1) ).
fof(12,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',t7_boole) ).
fof(13,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',fc1_subset_1) ).
fof(15,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ) ),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',s3_subset_1__e1_40__pre_topc) ).
fof(21,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',d2_subset_1) ).
fof(27,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ),
file('/tmp/tmpaMX6B1/sel_SEU315+1.p_2',s1_xboole_0__e1_40__pre_topc__1) ).
fof(40,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(42,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(43,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(51,plain,
! [X1,X2] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| element(X1,powerset(X2)) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(52,plain,
! [X4,X5] :
( ? [X6] :
( in(X6,X4)
& ~ in(X6,X5) )
| element(X4,powerset(X5)) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X4,X5] :
( ( in(esk1_2(X4,X5),X4)
& ~ in(esk1_2(X4,X5),X5) )
| element(X4,powerset(X5)) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,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)],[53]) ).
cnf(55,plain,
( element(X1,powerset(X2))
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(56,plain,
( element(X1,powerset(X2))
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(85,plain,
! [X1,X2] :
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(86,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[85]) ).
cnf(87,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(88,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[42]) ).
cnf(89,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[88]) ).
fof(93,negated_conjecture,
? [X1,X2] :
( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1)))
& ! [X3] :
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ? [X4] :
( element(X4,powerset(the_carrier(X1)))
& ( ~ in(X4,X3)
| ! [X5] :
( ~ element(X5,powerset(the_carrier(X1)))
| X5 != X4
| ~ closed_subset(X5,X1)
| ~ subset(X2,X4) ) )
& ( in(X4,X3)
| ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(94,negated_conjecture,
? [X6,X7] :
( topological_space(X6)
& top_str(X6)
& element(X7,powerset(the_carrier(X6)))
& ! [X8] :
( ~ element(X8,powerset(powerset(the_carrier(X6))))
| ? [X9] :
( element(X9,powerset(the_carrier(X6)))
& ( ~ in(X9,X8)
| ! [X10] :
( ~ element(X10,powerset(the_carrier(X6)))
| X10 != X9
| ~ closed_subset(X10,X6)
| ~ subset(X7,X9) ) )
& ( in(X9,X8)
| ? [X11] :
( element(X11,powerset(the_carrier(X6)))
& X11 = X9
& closed_subset(X11,X6)
& subset(X7,X9) ) ) ) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,negated_conjecture,
( topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(the_carrier(esk3_0)))
& ! [X8] :
( ~ element(X8,powerset(powerset(the_carrier(esk3_0))))
| ( element(esk5_1(X8),powerset(the_carrier(esk3_0)))
& ( ~ in(esk5_1(X8),X8)
| ! [X10] :
( ~ element(X10,powerset(the_carrier(esk3_0)))
| X10 != esk5_1(X8)
| ~ closed_subset(X10,esk3_0)
| ~ subset(esk4_0,esk5_1(X8)) ) )
& ( in(esk5_1(X8),X8)
| ( element(esk6_1(X8),powerset(the_carrier(esk3_0)))
& esk6_1(X8) = esk5_1(X8)
& closed_subset(esk6_1(X8),esk3_0)
& subset(esk4_0,esk5_1(X8)) ) ) ) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,negated_conjecture,
! [X8,X10] :
( ( ( ( ~ element(X10,powerset(the_carrier(esk3_0)))
| X10 != esk5_1(X8)
| ~ closed_subset(X10,esk3_0)
| ~ subset(esk4_0,esk5_1(X8))
| ~ in(esk5_1(X8),X8) )
& ( in(esk5_1(X8),X8)
| ( element(esk6_1(X8),powerset(the_carrier(esk3_0)))
& esk6_1(X8) = esk5_1(X8)
& closed_subset(esk6_1(X8),esk3_0)
& subset(esk4_0,esk5_1(X8)) ) )
& element(esk5_1(X8),powerset(the_carrier(esk3_0))) )
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(shift_quantors,[status(thm)],[95]) ).
fof(97,negated_conjecture,
! [X8,X10] :
( ( ~ element(X10,powerset(the_carrier(esk3_0)))
| X10 != esk5_1(X8)
| ~ closed_subset(X10,esk3_0)
| ~ subset(esk4_0,esk5_1(X8))
| ~ in(esk5_1(X8),X8)
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& ( element(esk6_1(X8),powerset(the_carrier(esk3_0)))
| in(esk5_1(X8),X8)
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& ( esk6_1(X8) = esk5_1(X8)
| in(esk5_1(X8),X8)
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& ( closed_subset(esk6_1(X8),esk3_0)
| in(esk5_1(X8),X8)
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& ( subset(esk4_0,esk5_1(X8))
| in(esk5_1(X8),X8)
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& ( element(esk5_1(X8),powerset(the_carrier(esk3_0)))
| ~ element(X8,powerset(powerset(the_carrier(esk3_0)))) )
& topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(distribute,[status(thm)],[96]) ).
cnf(98,negated_conjecture,
element(esk4_0,powerset(the_carrier(esk3_0))),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(99,negated_conjecture,
top_str(esk3_0),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(100,negated_conjecture,
topological_space(esk3_0),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(101,negated_conjecture,
( element(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(102,negated_conjecture,
( in(esk5_1(X1),X1)
| subset(esk4_0,esk5_1(X1))
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(103,negated_conjecture,
( in(esk5_1(X1),X1)
| closed_subset(esk6_1(X1),esk3_0)
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(104,negated_conjecture,
( in(esk5_1(X1),X1)
| esk6_1(X1) = esk5_1(X1)
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(105,negated_conjecture,
( in(esk5_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk3_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(106,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk3_0))))
| ~ in(esk5_1(X1),X1)
| ~ subset(esk4_0,esk5_1(X1))
| ~ closed_subset(X2,esk3_0)
| X2 != esk5_1(X1)
| ~ element(X2,powerset(the_carrier(esk3_0))) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(131,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)],[43]) ).
fof(132,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)],[131]) ).
fof(133,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)],[132]) ).
cnf(136,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(137,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(158,plain,
! [X1,X2] :
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ? [X3] :
! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,powerset(the_carrier(X1)))
& ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) )
& ( ~ in(X4,powerset(the_carrier(X1)))
| ! [X5] :
( ~ element(X5,powerset(the_carrier(X1)))
| X5 != X4
| ~ closed_subset(X5,X1)
| ~ subset(X2,X4) )
| in(X4,X3) ) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(159,plain,
! [X6,X7] :
( ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6)))
| ? [X8] :
! [X9] :
( ( ~ in(X9,X8)
| ( in(X9,powerset(the_carrier(X6)))
& ? [X10] :
( element(X10,powerset(the_carrier(X6)))
& X10 = X9
& closed_subset(X10,X6)
& subset(X7,X9) ) ) )
& ( ~ in(X9,powerset(the_carrier(X6)))
| ! [X11] :
( ~ element(X11,powerset(the_carrier(X6)))
| X11 != X9
| ~ closed_subset(X11,X6)
| ~ subset(X7,X9) )
| in(X9,X8) ) ) ),
inference(variable_rename,[status(thm)],[158]) ).
fof(160,plain,
! [X6,X7] :
( ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6)))
| ! [X9] :
( ( ~ in(X9,esk9_2(X6,X7))
| ( in(X9,powerset(the_carrier(X6)))
& element(esk10_3(X6,X7,X9),powerset(the_carrier(X6)))
& esk10_3(X6,X7,X9) = X9
& closed_subset(esk10_3(X6,X7,X9),X6)
& subset(X7,X9) ) )
& ( ~ in(X9,powerset(the_carrier(X6)))
| ! [X11] :
( ~ element(X11,powerset(the_carrier(X6)))
| X11 != X9
| ~ closed_subset(X11,X6)
| ~ subset(X7,X9) )
| in(X9,esk9_2(X6,X7)) ) ) ),
inference(skolemize,[status(esa)],[159]) ).
fof(161,plain,
! [X6,X7,X9,X11] :
( ( ( ~ element(X11,powerset(the_carrier(X6)))
| X11 != X9
| ~ closed_subset(X11,X6)
| ~ subset(X7,X9)
| ~ in(X9,powerset(the_carrier(X6)))
| in(X9,esk9_2(X6,X7)) )
& ( ~ in(X9,esk9_2(X6,X7))
| ( in(X9,powerset(the_carrier(X6)))
& element(esk10_3(X6,X7,X9),powerset(the_carrier(X6)))
& esk10_3(X6,X7,X9) = X9
& closed_subset(esk10_3(X6,X7,X9),X6)
& subset(X7,X9) ) ) )
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) ),
inference(shift_quantors,[status(thm)],[160]) ).
fof(162,plain,
! [X6,X7,X9,X11] :
( ( ~ element(X11,powerset(the_carrier(X6)))
| X11 != X9
| ~ closed_subset(X11,X6)
| ~ subset(X7,X9)
| ~ in(X9,powerset(the_carrier(X6)))
| in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) )
& ( in(X9,powerset(the_carrier(X6)))
| ~ in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) )
& ( element(esk10_3(X6,X7,X9),powerset(the_carrier(X6)))
| ~ in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) )
& ( esk10_3(X6,X7,X9) = X9
| ~ in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) )
& ( closed_subset(esk10_3(X6,X7,X9),X6)
| ~ in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) )
& ( subset(X7,X9)
| ~ in(X9,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(the_carrier(X6))) ) ),
inference(distribute,[status(thm)],[161]) ).
cnf(163,plain,
( subset(X1,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(164,plain,
( closed_subset(esk10_3(X2,X1,X3),X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(165,plain,
( esk10_3(X2,X1,X3) = X3
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(166,plain,
( element(esk10_3(X2,X1,X3),powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(167,plain,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(168,plain,
( in(X3,esk9_2(X2,X1))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,powerset(the_carrier(X2)))
| ~ subset(X1,X3)
| ~ closed_subset(X4,X2)
| X4 != X3
| ~ element(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(238,plain,
( element(X2,X1)
| ~ in(X2,X1) ),
inference(csr,[status(thm)],[136,87]) ).
cnf(260,plain,
( element(X1,powerset(X2))
| ~ empty(X1) ),
inference(spm,[status(thm)],[87,56,theory(equality)]) ).
cnf(447,negated_conjecture,
( esk6_1(X1) = esk5_1(X1)
| ~ empty(X1)
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[87,104,theory(equality)]) ).
cnf(448,negated_conjecture,
( element(esk5_1(X1),X1)
| esk6_1(X1) = esk5_1(X1)
| ~ element(X1,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[238,104,theory(equality)]) ).
cnf(453,plain,
( subset(X1,X2)
| empty(esk9_2(X3,X1))
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3)))
| ~ element(X2,esk9_2(X3,X1)) ),
inference(spm,[status(thm)],[163,137,theory(equality)]) ).
cnf(456,plain,
( in(X1,powerset(the_carrier(X2)))
| empty(esk9_2(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,esk9_2(X2,X3)) ),
inference(spm,[status(thm)],[167,137,theory(equality)]) ).
cnf(457,plain,
( in(esk1_2(esk9_2(X1,X2),X3),powerset(the_carrier(X1)))
| element(esk9_2(X1,X2),powerset(X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[167,56,theory(equality)]) ).
cnf(459,plain,
( esk10_3(X1,X2,X3) = X3
| empty(esk9_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,esk9_2(X1,X2)) ),
inference(spm,[status(thm)],[165,137,theory(equality)]) ).
cnf(493,plain,
( in(X1,esk9_2(X2,X3))
| ~ closed_subset(X1,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ subset(X3,X1)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,powerset(the_carrier(X2))) ),
inference(er,[status(thm)],[168,theory(equality)]) ).
cnf(503,negated_conjecture,
( closed_subset(esk6_1(X1),esk3_0)
| in(esk5_1(X1),X1)
| ~ empty(X1) ),
inference(spm,[status(thm)],[103,260,theory(equality)]) ).
cnf(723,negated_conjecture,
( closed_subset(esk6_1(X1),esk3_0)
| ~ empty(X1) ),
inference(csr,[status(thm)],[503,87]) ).
cnf(724,negated_conjecture,
( esk6_1(X1) = esk5_1(X1)
| ~ empty(X1) ),
inference(csr,[status(thm)],[447,260]) ).
cnf(728,negated_conjecture,
( closed_subset(esk5_1(X1),esk3_0)
| ~ empty(X1) ),
inference(spm,[status(thm)],[723,724,theory(equality)]) ).
cnf(1716,plain,
( element(esk9_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[55,457,theory(equality)]) ).
cnf(1732,plain,
( closed_subset(X3,X1)
| empty(esk9_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2))
| ~ element(X3,esk9_2(X1,X2)) ),
inference(spm,[status(thm)],[164,459,theory(equality)]) ).
cnf(1733,plain,
( element(X3,powerset(the_carrier(X1)))
| empty(esk9_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2))
| ~ element(X3,esk9_2(X1,X2)) ),
inference(spm,[status(thm)],[166,459,theory(equality)]) ).
cnf(1998,negated_conjecture,
( subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[102,1716,theory(equality)]) ).
cnf(1999,negated_conjecture,
( closed_subset(esk6_1(esk9_2(esk3_0,X1)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[103,1716,theory(equality)]) ).
cnf(2023,negated_conjecture,
( element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[105,1716,theory(equality)]) ).
cnf(2024,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| element(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[448,1716,theory(equality)]) ).
cnf(2026,negated_conjecture,
( subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[1998,100,theory(equality)]) ).
cnf(2027,negated_conjecture,
( subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2026,99,theory(equality)]) ).
cnf(2028,negated_conjecture,
( subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2027,theory(equality)]) ).
cnf(2029,negated_conjecture,
( closed_subset(esk6_1(esk9_2(esk3_0,X1)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[1999,100,theory(equality)]) ).
cnf(2030,negated_conjecture,
( closed_subset(esk6_1(esk9_2(esk3_0,X1)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2029,99,theory(equality)]) ).
cnf(2031,negated_conjecture,
( closed_subset(esk6_1(esk9_2(esk3_0,X1)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2030,theory(equality)]) ).
cnf(2032,negated_conjecture,
( element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2023,100,theory(equality)]) ).
cnf(2033,negated_conjecture,
( element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2032,99,theory(equality)]) ).
cnf(2034,negated_conjecture,
( element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| in(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2033,theory(equality)]) ).
cnf(2035,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| element(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2024,100,theory(equality)]) ).
cnf(2036,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| element(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2035,99,theory(equality)]) ).
cnf(2037,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| element(esk5_1(esk9_2(esk3_0,X1)),esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2036,theory(equality)]) ).
cnf(2212,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[453,2037,theory(equality)]) ).
cnf(2213,negated_conjecture,
( empty(esk9_2(esk3_0,X1))
| in(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[456,2037,theory(equality)]) ).
cnf(2214,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2212,100,theory(equality)]) ).
cnf(2215,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2214,99,theory(equality)]) ).
cnf(2216,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2215,theory(equality)]) ).
cnf(2217,negated_conjecture,
( empty(esk9_2(esk3_0,X1))
| in(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2213,100,theory(equality)]) ).
cnf(2218,negated_conjecture,
( empty(esk9_2(esk3_0,X1))
| in(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2217,99,theory(equality)]) ).
cnf(2219,negated_conjecture,
( empty(esk9_2(esk3_0,X1))
| in(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2218,theory(equality)]) ).
cnf(2287,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[2216,724]) ).
cnf(2288,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[106,2287,theory(equality)]) ).
cnf(2289,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[2288,98,theory(equality)]) ).
cnf(2290,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[2289,theory(equality)]) ).
cnf(2556,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[163,2028,theory(equality)]) ).
cnf(2560,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2556,100,theory(equality)]) ).
cnf(2561,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[2560,99,theory(equality)]) ).
cnf(2562,negated_conjecture,
( subset(X1,esk5_1(esk9_2(esk3_0,X1)))
| subset(esk4_0,esk5_1(esk9_2(esk3_0,X1)))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[2561,theory(equality)]) ).
cnf(2570,plain,
( in(X1,esk9_2(X2,X3))
| ~ closed_subset(X1,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ subset(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,powerset(the_carrier(X2))) ),
inference(csr,[status(thm)],[493,238]) ).
cnf(2639,negated_conjecture,
subset(esk4_0,esk5_1(esk9_2(esk3_0,esk4_0))),
inference(spm,[status(thm)],[2562,98,theory(equality)]) ).
cnf(2672,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[106,2639,theory(equality)]) ).
cnf(3585,plain,
( closed_subset(X3,X1)
| empty(esk9_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[1732,238]) ).
cnf(3586,plain,
( closed_subset(X3,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[3585,87]) ).
cnf(3587,plain,
( closed_subset(X1,X2)
| empty(esk9_2(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,esk9_2(X2,X3)) ),
inference(spm,[status(thm)],[3586,137,theory(equality)]) ).
cnf(3631,plain,
( empty(esk9_2(X1,X2))
| element(X3,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[1733,238]) ).
cnf(3632,plain,
( element(X3,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X3,esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[3631,87]) ).
cnf(3638,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[3632,2034,theory(equality)]) ).
cnf(3642,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[3638,100,theory(equality)]) ).
cnf(3643,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[3642,99,theory(equality)]) ).
cnf(3644,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| element(esk6_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[3643,theory(equality)]) ).
cnf(3693,negated_conjecture,
( closed_subset(esk6_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[2031,98,theory(equality)]) ).
cnf(3746,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,X1)),esk3_0)
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[3587,2037,theory(equality)]) ).
cnf(3750,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,X1)),esk3_0)
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| ~ top_str(esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[3746,100,theory(equality)]) ).
cnf(3751,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,X1)),esk3_0)
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[3750,99,theory(equality)]) ).
cnf(3752,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,X1)),esk3_0)
| empty(esk9_2(esk3_0,X1))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[3751,theory(equality)]) ).
cnf(5002,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| closed_subset(esk5_1(esk9_2(esk3_0,X1)),esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[3752,728]) ).
cnf(25007,negated_conjecture,
( esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| in(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[2219,724]) ).
cnf(25010,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,X1)),powerset(the_carrier(esk3_0)))
| esk6_1(esk9_2(esk3_0,X1)) = esk5_1(esk9_2(esk3_0,X1))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[238,25007,theory(equality)]) ).
cnf(29923,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[2290,104]) ).
cnf(29924,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(er,[status(thm)],[29923,theory(equality)]) ).
cnf(68181,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(csr,[status(thm)],[29924,101]) ).
cnf(68185,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[68181,5002,theory(equality)]) ).
cnf(68191,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| $false ),
inference(rw,[status(thm)],[68185,98,theory(equality)]) ).
cnf(68192,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(cn,[status(thm)],[68191,theory(equality)]) ).
cnf(68232,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[3693,68192,theory(equality)]) ).
cnf(68879,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[3586,68232,theory(equality)]) ).
cnf(68922,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[68879,100,theory(equality)]) ).
cnf(68923,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| $false
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[68922,99,theory(equality)]) ).
cnf(68924,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| $false
| $false
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[68923,98,theory(equality)]) ).
cnf(68925,negated_conjecture,
( closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))) ),
inference(cn,[status(thm)],[68924,theory(equality)]) ).
cnf(80833,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ subset(esk4_0,esk5_1(esk9_2(esk3_0,esk4_0)))
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[2672,2570,theory(equality)]) ).
cnf(80838,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| ~ top_str(esk3_0)
| ~ subset(esk4_0,esk5_1(esk9_2(esk3_0,esk4_0)))
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[80833,100,theory(equality)]) ).
cnf(80839,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| $false
| ~ subset(esk4_0,esk5_1(esk9_2(esk3_0,esk4_0)))
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[80838,99,theory(equality)]) ).
cnf(80840,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| $false
| $false
| ~ element(esk4_0,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[80839,2639,theory(equality)]) ).
cnf(80841,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false
| $false
| $false
| $false
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[80840,98,theory(equality)]) ).
cnf(80842,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[80841,theory(equality)]) ).
cnf(396029,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[80842,68925]) ).
cnf(396030,negated_conjecture,
( empty(powerset(the_carrier(esk3_0)))
| esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[396029,137,theory(equality)]) ).
cnf(396036,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(sr,[status(thm)],[396030,89,theory(equality)]) ).
cnf(396049,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0))))
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[396036,101]) ).
cnf(396051,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[396049,1716,theory(equality)]) ).
cnf(396052,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0)))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[396051,100,theory(equality)]) ).
cnf(396053,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0)))
| $false
| $false
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[396052,99,theory(equality)]) ).
cnf(396054,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[396053,98,theory(equality)]) ).
cnf(396055,negated_conjecture,
( esk5_1(esk9_2(esk3_0,esk4_0)) != X1
| ~ closed_subset(X1,esk3_0)
| ~ element(X1,powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[396054,theory(equality)]) ).
cnf(396056,negated_conjecture,
( ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(er,[status(thm)],[396055,theory(equality)]) ).
cnf(396063,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[396056,5002,theory(equality)]) ).
cnf(396071,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| $false ),
inference(rw,[status(thm)],[396063,98,theory(equality)]) ).
cnf(396072,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[396071,theory(equality)]) ).
cnf(396309,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[396072,25010,theory(equality)]) ).
cnf(396314,negated_conjecture,
( esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[396309,98,theory(equality)]) ).
cnf(396315,negated_conjecture,
esk6_1(esk9_2(esk3_0,esk4_0)) = esk5_1(esk9_2(esk3_0,esk4_0)),
inference(cn,[status(thm)],[396314,theory(equality)]) ).
cnf(396353,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[3644,396315,theory(equality)]) ).
cnf(397928,negated_conjecture,
( element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| $false ),
inference(rw,[status(thm)],[396353,98,theory(equality)]) ).
cnf(397929,negated_conjecture,
element(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))),
inference(cn,[status(thm)],[397928,theory(equality)]) ).
cnf(400219,negated_conjecture,
( ~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0)
| $false ),
inference(rw,[status(thm)],[396056,397929,theory(equality)]) ).
cnf(400220,negated_conjecture,
~ closed_subset(esk5_1(esk9_2(esk3_0,esk4_0)),esk3_0),
inference(cn,[status(thm)],[400219,theory(equality)]) ).
cnf(400367,negated_conjecture,
~ element(esk9_2(esk3_0,esk4_0),powerset(powerset(the_carrier(esk3_0)))),
inference(spm,[status(thm)],[400220,68925,theory(equality)]) ).
cnf(400486,negated_conjecture,
( ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[400367,1716,theory(equality)]) ).
cnf(400487,negated_conjecture,
( $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[400486,100,theory(equality)]) ).
cnf(400488,negated_conjecture,
( $false
| $false
| ~ element(esk4_0,powerset(the_carrier(esk3_0))) ),
inference(rw,[status(thm)],[400487,99,theory(equality)]) ).
cnf(400489,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[400488,98,theory(equality)]) ).
cnf(400490,negated_conjecture,
$false,
inference(cn,[status(thm)],[400489,theory(equality)]) ).
cnf(400491,negated_conjecture,
$false,
400490,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU315+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpaMX6B1/sel_SEU315+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpaMX6B1/sel_SEU315+1.p_2 with time limit 80
% -prover status Theorem
% Problem SEU315+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU315+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU315+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
%
%------------------------------------------------------------------------------