TSTP Solution File: SEU310+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU310+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 07:06:09 EST 2010
% Result : Theorem 0.44s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of formulae : 116 ( 9 unt; 0 def)
% Number of atoms : 736 ( 153 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 998 ( 378 ~; 527 |; 85 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 164 ( 0 sgn 37 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(28,conjecture,
! [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/tmpJaG3HF/sel_SEU310+1.p_1',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(30,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X1),X5),X2) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('/tmp/tmpJaG3HF/sel_SEU310+1.p_1',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(37,negated_conjecture,
~ ! [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) ) ) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(158,negated_conjecture,
? [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,X3)
| ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(159,negated_conjecture,
? [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,X7)
| ( in(X8,powerset(the_carrier(X5)))
& in(set_difference(cast_as_carrier_subset(X5),X8),X6) ) ) ) ),
inference(variable_rename,[status(thm)],[158]) ).
fof(160,negated_conjecture,
( topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(powerset(the_carrier(esk3_0))))
& ! [X7] :
( ( ~ in(esk5_1(X7),X7)
| ~ in(esk5_1(X7),powerset(the_carrier(esk3_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0) )
& ( in(esk5_1(X7),X7)
| ( in(esk5_1(X7),powerset(the_carrier(esk3_0)))
& in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0) ) ) ) ),
inference(skolemize,[status(esa)],[159]) ).
fof(161,negated_conjecture,
! [X7] :
( ( ~ in(esk5_1(X7),X7)
| ~ in(esk5_1(X7),powerset(the_carrier(esk3_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0) )
& ( in(esk5_1(X7),X7)
| ( in(esk5_1(X7),powerset(the_carrier(esk3_0)))
& in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0) ) )
& topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(shift_quantors,[status(thm)],[160]) ).
fof(162,negated_conjecture,
! [X7] :
( ( ~ in(esk5_1(X7),X7)
| ~ in(esk5_1(X7),powerset(the_carrier(esk3_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0) )
& ( in(esk5_1(X7),powerset(the_carrier(esk3_0)))
| in(esk5_1(X7),X7) )
& ( in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X7)),esk4_0)
| in(esk5_1(X7),X7) )
& topological_space(esk3_0)
& top_str(esk3_0)
& element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(distribute,[status(thm)],[161]) ).
cnf(163,negated_conjecture,
element(esk4_0,powerset(powerset(the_carrier(esk3_0)))),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(164,negated_conjecture,
top_str(esk3_0),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(165,negated_conjecture,
topological_space(esk3_0),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(166,negated_conjecture,
( in(esk5_1(X1),X1)
| in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X1)),esk4_0) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(167,negated_conjecture,
( in(esk5_1(X1),X1)
| in(esk5_1(X1),powerset(the_carrier(esk3_0))) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(168,negated_conjecture,
( ~ in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(X1)),esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
fof(177,plain,
! [X1,X2] :
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3,X4,X5] :
( X3 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X1),X5),X2)
& X4 != X5 )
| ? [X3] :
! [X4] :
( ( ~ in(X4,X3)
| ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) )
& ( ! [X5] :
( ~ in(X5,powerset(the_carrier(X1)))
| X5 != X4
| ~ in(set_difference(cast_as_carrier_subset(X1),X4),X2) )
| in(X4,X3) ) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(178,plain,
! [X6,X7] :
( ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6))))
| ? [X8,X9,X10] :
( X8 = X9
& in(set_difference(cast_as_carrier_subset(X6),X9),X7)
& X8 = X10
& in(set_difference(cast_as_carrier_subset(X6),X10),X7)
& X9 != X10 )
| ? [X11] :
! [X12] :
( ( ~ in(X12,X11)
| ? [X13] :
( in(X13,powerset(the_carrier(X6)))
& X13 = X12
& in(set_difference(cast_as_carrier_subset(X6),X12),X7) ) )
& ( ! [X14] :
( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7) )
| in(X12,X11) ) ) ),
inference(variable_rename,[status(thm)],[177]) ).
fof(179,plain,
! [X6,X7] :
( ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6))))
| ( esk6_2(X6,X7) = esk7_2(X6,X7)
& in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
& esk6_2(X6,X7) = esk8_2(X6,X7)
& in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
& esk7_2(X6,X7) != esk8_2(X6,X7) )
| ! [X12] :
( ( ~ in(X12,esk9_2(X6,X7))
| ( in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
& esk10_3(X6,X7,X12) = X12
& in(set_difference(cast_as_carrier_subset(X6),X12),X7) ) )
& ( ! [X14] :
( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7) )
| in(X12,esk9_2(X6,X7)) ) ) ),
inference(skolemize,[status(esa)],[178]) ).
fof(180,plain,
! [X6,X7,X12,X14] :
( ( ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7)) )
& ( ~ in(X12,esk9_2(X6,X7))
| ( in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
& esk10_3(X6,X7,X12) = X12
& in(set_difference(cast_as_carrier_subset(X6),X12),X7) ) ) )
| ( esk6_2(X6,X7) = esk7_2(X6,X7)
& in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
& esk6_2(X6,X7) = esk8_2(X6,X7)
& in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
& esk7_2(X6,X7) != esk8_2(X6,X7) )
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) ),
inference(shift_quantors,[status(thm)],[179]) ).
fof(181,plain,
! [X6,X7,X12,X14] :
( ( esk6_2(X6,X7) = esk7_2(X6,X7)
| ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
| ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk8_2(X6,X7)
| ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
| ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk7_2(X6,X7) != esk8_2(X6,X7)
| ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk7_2(X6,X7)
| in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
| in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk8_2(X6,X7)
| in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
| in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk7_2(X6,X7) != esk8_2(X6,X7)
| in(esk10_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk7_2(X6,X7)
| esk10_3(X6,X7,X12) = X12
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
| esk10_3(X6,X7,X12) = X12
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk8_2(X6,X7)
| esk10_3(X6,X7,X12) = X12
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
| esk10_3(X6,X7,X12) = X12
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk7_2(X6,X7) != esk8_2(X6,X7)
| esk10_3(X6,X7,X12) = X12
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk7_2(X6,X7)
| in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk7_2(X6,X7)),X7)
| in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk6_2(X6,X7) = esk8_2(X6,X7)
| in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),esk8_2(X6,X7)),X7)
| in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk7_2(X6,X7) != esk8_2(X6,X7)
| in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk9_2(X6,X7))
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) ) ),
inference(distribute,[status(thm)],[180]) ).
cnf(182,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,esk9_2(X2,X1))
| esk7_2(X2,X1) != esk8_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(184,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| esk6_2(X2,X1) = esk8_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(186,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| esk6_2(X2,X1) = esk7_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(187,plain,
( esk10_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1))
| esk7_2(X2,X1) != esk8_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(189,plain,
( esk10_3(X2,X1,X3) = X3
| esk6_2(X2,X1) = esk8_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(191,plain,
( esk10_3(X2,X1,X3) = X3
| esk6_2(X2,X1) = esk7_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(192,plain,
( in(esk10_3(X2,X1,X3),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1))
| esk7_2(X2,X1) != esk8_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(194,plain,
( in(esk10_3(X2,X1,X3),powerset(the_carrier(X2)))
| esk6_2(X2,X1) = esk8_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(196,plain,
( in(esk10_3(X2,X1,X3),powerset(the_carrier(X2)))
| esk6_2(X2,X1) = esk7_2(X2,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(197,plain,
( in(X3,esk9_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)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2)))
| esk7_2(X2,X1) != esk8_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(199,plain,
( in(X3,esk9_2(X2,X1))
| esk6_2(X2,X1) = 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)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(201,plain,
( in(X3,esk9_2(X2,X1))
| esk6_2(X2,X1) = esk7_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)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(384,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0) ),
inference(spm,[status(thm)],[186,163,theory(equality)]) ).
cnf(387,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0) ),
inference(rw,[status(thm)],[384,165,theory(equality)]) ).
cnf(388,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[387,164,theory(equality)]) ).
cnf(389,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[388,theory(equality)]) ).
cnf(392,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0) ),
inference(spm,[status(thm)],[184,163,theory(equality)]) ).
cnf(395,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0) ),
inference(rw,[status(thm)],[392,165,theory(equality)]) ).
cnf(396,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[395,164,theory(equality)]) ).
cnf(397,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[396,theory(equality)]) ).
cnf(400,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[168,182,theory(equality)]) ).
cnf(401,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[400,165,theory(equality)]) ).
cnf(402,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[401,164,theory(equality)]) ).
cnf(403,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[402,163,theory(equality)]) ).
cnf(404,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[403,theory(equality)]) ).
cnf(405,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0) ),
inference(spm,[status(thm)],[191,163,theory(equality)]) ).
cnf(408,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0) ),
inference(rw,[status(thm)],[405,165,theory(equality)]) ).
cnf(409,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[408,164,theory(equality)]) ).
cnf(410,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[409,theory(equality)]) ).
cnf(412,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0) ),
inference(spm,[status(thm)],[189,163,theory(equality)]) ).
cnf(415,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0) ),
inference(rw,[status(thm)],[412,165,theory(equality)]) ).
cnf(416,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[415,164,theory(equality)]) ).
cnf(417,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(442,plain,
( esk6_2(X1,X2) = esk7_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(er,[status(thm)],[201,theory(equality)]) ).
cnf(446,plain,
( in(X3,powerset(the_carrier(X1)))
| esk8_2(X1,X2) != esk7_2(X1,X2)
| ~ in(X3,esk9_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[192,187,theory(equality)]) ).
cnf(454,plain,
( esk6_2(X1,X2) = esk8_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(er,[status(thm)],[199,theory(equality)]) ).
cnf(457,plain,
( in(X1,esk9_2(X2,X3))
| esk8_2(X2,X3) != esk7_2(X2,X3)
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(er,[status(thm)],[197,theory(equality)]) ).
cnf(755,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,esk5_1(esk9_2(esk3_0,esk4_0))) = esk5_1(esk9_2(esk3_0,esk4_0))
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(spm,[status(thm)],[410,167,theory(equality)]) ).
cnf(826,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[196,755,theory(equality)]) ).
cnf(834,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[826,165,theory(equality)]) ).
cnf(835,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[834,164,theory(equality)]) ).
cnf(836,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[835,163,theory(equality)]) ).
cnf(837,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[836,theory(equality)]) ).
cnf(858,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[837,167]) ).
cnf(1003,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[457,166,theory(equality)]) ).
cnf(1021,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1003,165,theory(equality)]) ).
cnf(1022,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1021,164,theory(equality)]) ).
cnf(1023,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1022,163,theory(equality)]) ).
cnf(1024,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[1023,theory(equality)]) ).
cnf(1025,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[1024,167]) ).
cnf(1037,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[442,166,theory(equality)]) ).
cnf(1055,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1037,165,theory(equality)]) ).
cnf(1056,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1055,164,theory(equality)]) ).
cnf(1057,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1056,163,theory(equality)]) ).
cnf(1058,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[1057,theory(equality)]) ).
cnf(1059,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1) ),
inference(csr,[status(thm)],[1058,167]) ).
cnf(1060,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(ef,[status(thm)],[1059,theory(equality)]) ).
cnf(1110,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),esk5_1(esk9_2(esk3_0,esk4_0))),esk4_0) ),
inference(spm,[status(thm)],[389,1060,theory(equality)]) ).
cnf(1136,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[168,1110,theory(equality)]) ).
cnf(1183,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))) ),
inference(csr,[status(thm)],[1136,1060]) ).
cnf(1184,negated_conjecture,
esk6_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0),
inference(csr,[status(thm)],[1183,858]) ).
cnf(1197,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| esk10_3(esk3_0,esk4_0,X1) = X1
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(rw,[status(thm)],[417,1184,theory(equality)]) ).
cnf(1199,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(set_difference(cast_as_carrier_subset(esk3_0),X1),esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(rw,[status(thm)],[397,1184,theory(equality)]) ).
cnf(1203,negated_conjecture,
( esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[168,1199,theory(equality)]) ).
cnf(1216,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[194,1197,theory(equality)]) ).
cnf(1226,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1216,1184,theory(equality)]) ).
cnf(1227,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1226,165,theory(equality)]) ).
cnf(1228,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1227,164,theory(equality)]) ).
cnf(1229,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(X1,esk9_2(esk3_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1228,163,theory(equality)]) ).
cnf(1230,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(X1,powerset(the_carrier(esk3_0)))
| ~ in(X1,esk9_2(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[1229,theory(equality)]) ).
cnf(1254,negated_conjecture,
( esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| ~ in(esk5_1(X1),X1) ),
inference(csr,[status(thm)],[1203,1230]) ).
cnf(1258,negated_conjecture,
( esk6_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[454,166,theory(equality)]) ).
cnf(1277,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1258,1184,theory(equality)]) ).
cnf(1278,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1277,165,theory(equality)]) ).
cnf(1279,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1278,164,theory(equality)]) ).
cnf(1280,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1279,163,theory(equality)]) ).
cnf(1281,negated_conjecture,
( esk7_2(esk3_0,esk4_0) = esk8_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1)
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0))) ),
inference(cn,[status(thm)],[1280,theory(equality)]) ).
cnf(1287,negated_conjecture,
( esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1) ),
inference(csr,[status(thm)],[1281,167]) ).
cnf(1288,negated_conjecture,
( in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| in(esk5_1(X1),X1) ),
inference(csr,[status(thm)],[1287,1025]) ).
cnf(1289,negated_conjecture,
in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)),
inference(ef,[status(thm)],[1288,theory(equality)]) ).
cnf(1346,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| ~ topological_space(esk3_0)
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(spm,[status(thm)],[446,1289,theory(equality)]) ).
cnf(1349,negated_conjecture,
( esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[1254,1289,theory(equality)]) ).
cnf(1356,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| $false
| ~ top_str(esk3_0)
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1346,165,theory(equality)]) ).
cnf(1357,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| $false
| $false
| ~ element(esk4_0,powerset(powerset(the_carrier(esk3_0)))) ),
inference(rw,[status(thm)],[1356,164,theory(equality)]) ).
cnf(1358,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1357,163,theory(equality)]) ).
cnf(1359,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| esk8_2(esk3_0,esk4_0) != esk7_2(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[1358,theory(equality)]) ).
cnf(1360,negated_conjecture,
( esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[1349,1289,theory(equality)]) ).
cnf(1361,negated_conjecture,
esk8_2(esk3_0,esk4_0) = esk7_2(esk3_0,esk4_0),
inference(cn,[status(thm)],[1360,theory(equality)]) ).
cnf(1375,negated_conjecture,
( $false
| ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| ~ in(esk5_1(X1),X1) ),
inference(rw,[status(thm)],[404,1361,theory(equality)]) ).
cnf(1376,negated_conjecture,
( ~ in(esk5_1(X1),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(X1),esk9_2(esk3_0,esk4_0))
| ~ in(esk5_1(X1),X1) ),
inference(cn,[status(thm)],[1375,theory(equality)]) ).
cnf(1407,negated_conjecture,
( in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| $false ),
inference(rw,[status(thm)],[1359,1361,theory(equality)]) ).
cnf(1408,negated_conjecture,
in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0))),
inference(cn,[status(thm)],[1407,theory(equality)]) ).
cnf(1443,negated_conjecture,
( ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),powerset(the_carrier(esk3_0)))
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[1376,1289,theory(equality)]) ).
cnf(1446,negated_conjecture,
( $false
| ~ in(esk5_1(esk9_2(esk3_0,esk4_0)),esk9_2(esk3_0,esk4_0)) ),
inference(rw,[status(thm)],[1443,1408,theory(equality)]) ).
cnf(1447,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[1446,1289,theory(equality)]) ).
cnf(1448,negated_conjecture,
$false,
inference(cn,[status(thm)],[1447,theory(equality)]) ).
cnf(1449,negated_conjecture,
$false,
1448,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU310+1.p
% --creating new selector for []
% -running prover on /tmp/tmpJaG3HF/sel_SEU310+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU310+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU310+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU310+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
%
%------------------------------------------------------------------------------