TSTP Solution File: SEU314+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:24:22 EDT 2023
% Result : Theorem 6.70s 6.77s
% Output : CNFRefutation 6.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 38
% Syntax : Number of formulae : 161 ( 11 unt; 36 typ; 0 def)
% Number of atoms : 1089 ( 264 equ)
% Maximal formula atoms : 517 ( 8 avg)
% Number of connectives : 1638 ( 674 ~; 844 |; 112 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 94 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 33 >; 14 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 178 ( 0 sgn; 20 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
topological_space: $i > $o ).
tff(decl_23,type,
top_str: $i > $o ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
powerset: $i > $i ).
tff(decl_26,type,
element: ( $i * $i ) > $o ).
tff(decl_27,type,
in: ( $i * $i ) > $o ).
tff(decl_28,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_29,type,
subset: ( $i * $i ) > $o ).
tff(decl_30,type,
v5_membered: $i > $o ).
tff(decl_31,type,
v4_membered: $i > $o ).
tff(decl_32,type,
v3_membered: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
empty: $i > $o ).
tff(decl_36,type,
v1_xcmplx_0: $i > $o ).
tff(decl_37,type,
v1_xreal_0: $i > $o ).
tff(decl_38,type,
v1_rat_1: $i > $o ).
tff(decl_39,type,
v1_int_1: $i > $o ).
tff(decl_40,type,
natural: $i > $o ).
tff(decl_41,type,
one_sorted_str: $i > $o ).
tff(decl_42,type,
esk1_0: $i ).
tff(decl_43,type,
esk2_0: $i ).
tff(decl_44,type,
esk3_1: $i > $i ).
tff(decl_45,type,
esk4_1: $i > $i ).
tff(decl_46,type,
esk5_0: $i ).
tff(decl_47,type,
esk6_1: $i > $i ).
tff(decl_48,type,
esk7_1: $i > $i ).
tff(decl_49,type,
esk8_1: $i > $i ).
tff(decl_50,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk16_3: ( $i * $i * $i ) > $i ).
fof(s1_xboole_0__e1_40__pre_topc__1,conjecture,
! [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('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(s1_tarski__e1_40__pre_topc__1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X1)))
& X6 = X4
& closed_subset(X6,X1)
& subset(X2,X4) )
& X3 = X5
& ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X7 = X5
& closed_subset(X7,X1)
& subset(X2,X5) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& ? [X8] :
( element(X8,powerset(the_carrier(X1)))
& X8 = X4
& closed_subset(X8,X1)
& subset(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).
fof(c_0_2,negated_conjecture,
~ ! [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) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e1_40__pre_topc__1]) ).
fof(c_0_3,plain,
! [X52,X53,X60,X63,X64,X65] :
( ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| element(esk12_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| esk12_2(X52,X53) = esk10_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| closed_subset(esk12_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| subset(X53,esk10_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| esk9_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| element(esk13_2(X52,X53),powerset(the_carrier(X52)))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| esk13_2(X52,X53) = esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| closed_subset(esk13_2(X52,X53),X52)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| subset(X53,esk11_2(X52,X53))
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( in(esk15_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk15_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( element(esk16_3(X52,X53,X60),powerset(the_carrier(X52)))
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( esk16_3(X52,X53,X60) = X60
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( closed_subset(esk16_3(X52,X53,X60),X52)
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( subset(X53,X60)
| ~ in(X60,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) )
& ( ~ in(X64,powerset(the_carrier(X52)))
| X64 != X63
| ~ element(X65,powerset(the_carrier(X52)))
| X65 != X63
| ~ closed_subset(X65,X52)
| ~ subset(X53,X63)
| in(X63,esk14_2(X52,X53))
| esk10_2(X52,X53) != esk11_2(X52,X53)
| ~ topological_space(X52)
| ~ top_str(X52)
| ~ element(X53,powerset(the_carrier(X52))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e1_40__pre_topc__1])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X11,X13] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& ( ~ in(esk3_1(X11),X11)
| ~ in(esk3_1(X11),powerset(the_carrier(esk1_0)))
| ~ element(X13,powerset(the_carrier(esk1_0)))
| X13 != esk3_1(X11)
| ~ closed_subset(X13,esk1_0)
| ~ subset(esk2_0,esk3_1(X11)) )
& ( in(esk3_1(X11),powerset(the_carrier(esk1_0)))
| in(esk3_1(X11),X11) )
& ( element(esk4_1(X11),powerset(the_carrier(esk1_0)))
| in(esk3_1(X11),X11) )
& ( esk4_1(X11) = esk3_1(X11)
| in(esk3_1(X11),X11) )
& ( closed_subset(esk4_1(X11),esk1_0)
| in(esk3_1(X11),X11) )
& ( subset(esk2_0,esk3_1(X11))
| in(esk3_1(X11),X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_5,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| esk9_2(X3,X1) = esk10_2(X3,X1)
| ~ in(X2,esk14_2(X3,X1))
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( subset(esk2_0,esk3_1(X1))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_12,negated_conjecture,
( in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| subset(esk2_0,esk3_1(esk14_2(X1,X2)))
| subset(X2,esk3_1(esk14_2(X1,X2)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(esk1_0)))
| X2 != esk3_1(X1)
| ~ closed_subset(X2,esk1_0)
| ~ subset(esk2_0,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_18,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_6]),c_0_7]),c_0_8])]),c_0_12]) ).
cnf(c_0_19,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( esk4_1(X1) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,plain,
( subset(X1,X2)
| esk9_2(X3,X1) = esk11_2(X3,X1)
| ~ in(X2,esk14_2(X3,X1))
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_25,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| subset(esk2_0,esk3_1(esk14_2(X1,X2)))
| subset(X2,esk3_1(esk14_2(X1,X2)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_10]) ).
cnf(c_0_29,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( element(esk4_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| closed_subset(esk3_1(esk14_2(X1,X2)),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_36,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_6]),c_0_7]),c_0_8])]),c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_21]) ).
cnf(c_0_39,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_40,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_35]),c_0_36]) ).
cnf(c_0_41,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,plain,
( in(X3,esk14_2(X2,X5))
| esk9_2(X2,X5) = esk10_2(X2,X5)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_44,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_6]),c_0_7]),c_0_8])]),c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( closed_subset(esk4_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]) ).
cnf(c_0_47,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_49,plain,
( esk16_3(X1,X2,X3) = X3
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ subset(X2,X3)
| ~ closed_subset(X3,X1)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])]) ).
cnf(c_0_51,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( in(esk3_1(X1),X1)
| element(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| closed_subset(esk4_1(esk14_2(X1,X2)),esk1_0)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_54,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_55,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| closed_subset(esk3_1(esk14_2(X1,X2)),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_21]) ).
cnf(c_0_57,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_58,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_21]) ).
cnf(c_0_59,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(X1,esk14_2(esk1_0,esk2_0))
| ~ subset(esk2_0,X1)
| ~ closed_subset(X1,esk1_0)
| ~ in(X1,powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_60,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_6]),c_0_7]),c_0_8])]),c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( closed_subset(esk3_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_62,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk4_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_63,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_64,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| element(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_21]) ).
cnf(c_0_65,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_66,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_67,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| element(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| closed_subset(esk4_1(esk14_2(X1,X2)),esk1_0)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_69,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_12]),c_0_61]),c_0_10]) ).
cnf(c_0_70,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_71,plain,
( in(X3,esk14_2(X2,X5))
| esk9_2(X2,X5) = esk11_2(X2,X5)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_72,plain,
( subset(X1,X2)
| ~ in(X2,esk14_2(X3,X1))
| esk10_2(X3,X1) != esk11_2(X3,X1)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_73,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_74,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_6]),c_0_7]),c_0_8])]),c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_76,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_77,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk4_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_78,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_70]),c_0_6]),c_0_7]),c_0_8])]),c_0_61]) ).
cnf(c_0_80,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ subset(X2,X3)
| ~ closed_subset(X3,X1)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_71])]) ).
cnf(c_0_81,negated_conjecture,
( subset(esk2_0,esk3_1(esk14_2(X1,X2)))
| subset(X2,esk3_1(esk14_2(X1,X2)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_10]) ).
cnf(c_0_82,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_60]),c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(X1,esk14_2(esk1_0,esk2_0))
| ~ subset(esk2_0,X1)
| ~ closed_subset(X1,esk1_0)
| ~ in(X1,powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_87,negated_conjecture,
( subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_88,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_82]),c_0_6]),c_0_7]),c_0_8])]),c_0_52]) ).
cnf(c_0_89,negated_conjecture,
( element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_83]),c_0_6]),c_0_7]),c_0_8])]),c_0_52]) ).
cnf(c_0_90,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_84]),c_0_6]),c_0_7]),c_0_8])]),c_0_61]) ).
cnf(c_0_91,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_40,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(X1,esk14_2(esk1_0,esk2_0))
| ~ subset(esk2_0,X1)
| ~ closed_subset(X1,esk1_0)
| ~ in(X1,powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_93,negated_conjecture,
subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_85]),c_0_87]) ).
cnf(c_0_94,negated_conjecture,
element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_85]),c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_36,c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(rw,[status(thm)],[c_0_90,c_0_85]) ).
cnf(c_0_97,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_98,plain,
( esk15_3(X1,X2,X3) = X3
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_99,negated_conjecture,
( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_16,c_0_87]) ).
cnf(c_0_100,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94])]),c_0_95]),c_0_96]) ).
cnf(c_0_101,plain,
( in(X1,powerset(the_carrier(X2)))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ in(X1,esk14_2(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_21]) ).
cnf(c_0_103,negated_conjecture,
esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_100]),c_0_94])]),c_0_96]) ).
cnf(c_0_104,negated_conjecture,
( in(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_12]) ).
cnf(c_0_105,plain,
( in(X3,esk14_2(X2,X5))
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| esk10_2(X2,X5) != esk11_2(X2,X5)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_106,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_107,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_6]),c_0_103]),c_0_7]),c_0_8])]) ).
cnf(c_0_108,plain,
( in(X1,esk14_2(X2,X3))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ subset(X3,X1)
| ~ closed_subset(X1,X2)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])]) ).
cnf(c_0_109,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| closed_subset(esk4_1(esk14_2(X1,X2)),esk1_0)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_110,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_111,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_112,negated_conjecture,
( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_108]),c_0_6]),c_0_7]),c_0_8])]),c_0_87]) ).
cnf(c_0_113,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| closed_subset(esk4_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_114,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_110]),c_0_94])]) ).
cnf(c_0_115,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| closed_subset(esk3_1(esk14_2(X1,X2)),X1)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_58]),c_0_21]) ).
cnf(c_0_116,negated_conjecture,
( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_94])]) ).
cnf(c_0_117,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| closed_subset(esk4_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_85]),c_0_113]) ).
cnf(c_0_118,negated_conjecture,
esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_103]),c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_119,negated_conjecture,
( X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_103])]) ).
cnf(c_0_120,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
( X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_107])]) ).
cnf(c_0_122,negated_conjecture,
closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_120]),c_0_103]),c_0_6]),c_0_7]),c_0_8])]),c_0_61]) ).
cnf(c_0_123,negated_conjecture,
( X1 != esk3_1(esk14_2(esk1_0,esk2_0))
| ~ closed_subset(X1,esk1_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_123]),c_0_122]),c_0_94])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.19/0.34 % Computer : n005.cluster.edu
% 0.19/0.34 % Model : x86_64 x86_64
% 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.34 % Memory : 8042.1875MB
% 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Wed Aug 23 21:59:24 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.21/0.54 start to proof: theBenchmark
% 6.70/6.77 % Version : CSE_E---1.5
% 6.70/6.77 % Problem : theBenchmark.p
% 6.70/6.77 % Proof found
% 6.70/6.77 % SZS status Theorem for theBenchmark.p
% 6.70/6.77 % SZS output start Proof
% See solution above
% 6.70/6.80 % Total time : 6.218000 s
% 6.70/6.80 % SZS output end Proof
% 6.70/6.80 % Total time : 6.222000 s
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