TSTP Solution File: SEU399+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 16:25:27 EDT 2023
% Result : Theorem 174.40s 174.51s
% Output : CNFRefutation 174.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 79
% Syntax : Number of formulae : 214 ( 15 unt; 77 typ; 0 def)
% Number of atoms : 1849 ( 381 equ)
% Maximal formula atoms : 1118 ( 13 avg)
% Number of connectives : 2763 (1051 ~;1516 |; 184 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 128 ( 7 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 126 ( 70 >; 56 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 7 con; 0-4 aty)
% Number of variables : 272 ( 4 sgn; 37 !; 22 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
empty_carrier: $i > $o ).
tff(decl_23,type,
topological_space: $i > $o ).
tff(decl_24,type,
top_str: $i > $o ).
tff(decl_25,type,
transitive_relstr: $i > $o ).
tff(decl_26,type,
directed_relstr: $i > $o ).
tff(decl_27,type,
net_str: ( $i * $i ) > $o ).
tff(decl_28,type,
in: ( $i * $i ) > $o ).
tff(decl_29,type,
the_carrier: $i > $i ).
tff(decl_30,type,
netstr_induced_subset: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
element: ( $i * $i ) > $o ).
tff(decl_32,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_33,type,
subnetstr_of_element: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
the_mapping: ( $i * $i ) > $i ).
tff(decl_35,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
powerset: $i > $i ).
tff(decl_37,type,
empty: $i > $o ).
tff(decl_38,type,
v1_membered: $i > $o ).
tff(decl_39,type,
v2_membered: $i > $o ).
tff(decl_40,type,
v3_membered: $i > $o ).
tff(decl_41,type,
v4_membered: $i > $o ).
tff(decl_42,type,
v5_membered: $i > $o ).
tff(decl_43,type,
boundary_set: ( $i * $i ) > $o ).
tff(decl_44,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_45,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_46,type,
nowhere_dense: ( $i * $i ) > $o ).
tff(decl_47,type,
finite: $i > $o ).
tff(decl_48,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_49,type,
one_sorted_str: $i > $o ).
tff(decl_50,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
function: $i > $o ).
tff(decl_52,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
net_str_of: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
strict_net_str: ( $i * $i ) > $o ).
tff(decl_55,type,
rel_str: $i > $o ).
tff(decl_56,type,
the_InternalRel: $i > $i ).
tff(decl_57,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
relation: $i > $o ).
tff(decl_59,type,
relation_rng: $i > $i ).
tff(decl_60,type,
netstr_restr_to_element: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
subnet: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
esk1_0: $i ).
tff(decl_63,type,
esk2_0: $i ).
tff(decl_64,type,
esk3_0: $i ).
tff(decl_65,type,
esk4_1: $i > $i ).
tff(decl_66,type,
esk5_1: $i > $i ).
tff(decl_67,type,
esk6_1: $i > $i ).
tff(decl_68,type,
esk7_1: $i > $i ).
tff(decl_69,type,
esk8_1: $i > $i ).
tff(decl_70,type,
esk9_0: $i ).
tff(decl_71,type,
esk10_1: $i > $i ).
tff(decl_72,type,
esk11_1: $i > $i ).
tff(decl_73,type,
esk12_1: $i > $i ).
tff(decl_74,type,
esk13_1: $i > $i ).
tff(decl_75,type,
esk14_1: $i > $i ).
tff(decl_76,type,
esk15_1: $i > $i ).
tff(decl_77,type,
esk16_1: $i > $i ).
tff(decl_78,type,
esk17_1: $i > $i ).
tff(decl_79,type,
esk18_1: $i > $i ).
tff(decl_80,type,
esk19_1: $i > $i ).
tff(decl_81,type,
esk20_1: $i > $i ).
tff(decl_82,type,
esk21_1: $i > $i ).
tff(decl_83,type,
esk22_0: $i ).
tff(decl_84,type,
esk23_0: $i ).
tff(decl_85,type,
esk24_0: $i ).
tff(decl_86,type,
esk25_1: $i > $i ).
tff(decl_87,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk35_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
fof(s1_tarski__e6_39_3__yellow19__1,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
( ! [X5,X6,X7] :
( ( X5 = X6
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X6 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) )
& X5 = X7
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) )
=> X6 = X7 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,the_carrier(X2))
& X7 = X6
& ? [X12] :
( netstr_induced_subset(X12,X1,X2)
& ? [X13] :
( element(X13,the_carrier(X2))
& X4 = topstr_closure(X1,X12)
& X6 = X13
& X12 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X13)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X13))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_39_3__yellow19__1) ).
fof(s1_xboole_0__e6_39_3__yellow19__1,conjecture,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X2))
& ? [X7] :
( netstr_induced_subset(X7,X1,X2)
& ? [X8] :
( element(X8,the_carrier(X2))
& X4 = topstr_closure(X1,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(c_0_2,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
( ! [X5,X6,X7] :
( ( X5 = X6
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X6 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) )
& X5 = X7
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) )
=> X6 = X7 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,the_carrier(X2))
& X7 = X6
& ? [X12] :
( netstr_induced_subset(X12,X1,X2)
& ? [X13] :
( element(X13,the_carrier(X2))
& X4 = topstr_closure(X1,X12)
& X6 = X13
& X12 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X13)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X13))) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[s1_tarski__e6_39_3__yellow19__1]) ).
fof(c_0_3,plain,
! [X153,X154,X155,X164,X168,X169,X170,X171] :
( ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk30_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk31_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk32_3(X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk33_3(X153,X154,X155))))
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( in(esk35_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk35_4(X153,X154,X155,X164) = X164
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( element(esk37_4(X153,X154,X155,X164),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( X164 = esk37_4(X153,X154,X155,X164)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( esk36_4(X153,X154,X155,X164) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,esk37_4(X153,X154,X155,X164))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) )
& ( ~ in(X169,the_carrier(X154))
| X169 != X168
| ~ netstr_induced_subset(X170,X153,X154)
| ~ element(X171,the_carrier(X154))
| X155 != topstr_closure(X153,X170)
| X168 != X171
| X170 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X153,X154,X171)),the_carrier(X153),the_mapping(X153,subnetstr_of_element(X153,X154,X171)))
| in(X168,esk34_3(X153,X154,X155))
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| empty_carrier(X153)
| ~ topological_space(X153)
| ~ top_str(X153)
| empty_carrier(X154)
| ~ transitive_relstr(X154)
| ~ directed_relstr(X154)
| ~ net_str(X154,X153) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X2))
& ? [X7] :
( netstr_induced_subset(X7,X1,X2)
& ? [X8] :
( element(X8,the_carrier(X2))
& X4 = topstr_closure(X1,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[s1_xboole_0__e6_39_3__yellow19__1])]) ).
cnf(c_0_5,plain,
( in(X3,esk34_3(X5,X2,X7))
| esk27_3(X5,X2,X7) = esk28_3(X5,X2,X7)
| empty_carrier(X5)
| empty_carrier(X2)
| ~ in(X1,the_carrier(X2))
| X1 != X3
| ~ netstr_induced_subset(X4,X5,X2)
| ~ element(X6,the_carrier(X2))
| X7 != topstr_closure(X5,X4)
| X3 != X6
| X4 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X5,X2,X6)),the_carrier(X5),the_mapping(X5,subnetstr_of_element(X5,X2,X6)))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X17,X19,X20] :
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& ~ empty_carrier(esk2_0)
& transitive_relstr(esk2_0)
& directed_relstr(esk2_0)
& net_str(esk2_0,esk1_0)
& ( ~ in(esk4_1(X17),X17)
| ~ in(esk4_1(X17),the_carrier(esk2_0))
| ~ netstr_induced_subset(X19,esk1_0,esk2_0)
| ~ element(X20,the_carrier(esk2_0))
| esk3_0 != topstr_closure(esk1_0,X19)
| esk4_1(X17) != X20
| X19 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X20)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X20))) )
& ( in(esk4_1(X17),the_carrier(esk2_0))
| in(esk4_1(X17),X17) )
& ( netstr_induced_subset(esk5_1(X17),esk1_0,esk2_0)
| in(esk4_1(X17),X17) )
& ( element(esk6_1(X17),the_carrier(esk2_0))
| in(esk4_1(X17),X17) )
& ( esk3_0 = topstr_closure(esk1_0,esk5_1(X17))
| in(esk4_1(X17),X17) )
& ( esk4_1(X17) = esk6_1(X17)
| in(esk4_1(X17),X17) )
& ( esk5_1(X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X17))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X17))))
| in(esk4_1(X17),X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).
cnf(c_0_7,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4)))
| X3 != topstr_closure(X1,X5)
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).
cnf(c_0_8,negated_conjecture,
( netstr_induced_subset(esk5_1(X1),esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( esk5_1(X1) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X3 != topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4))))
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4))),X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1)))),esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
directed_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
transitive_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( element(esk6_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( esk3_0 = topstr_closure(esk1_0,esk5_1(X1))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X2))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X2)))))
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( esk3_0 = topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1)))))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( esk4_1(X1) = esk6_1(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( in(esk4_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ netstr_induced_subset(X2,esk1_0,esk2_0)
| ~ element(X3,the_carrier(esk2_0))
| esk3_0 != topstr_closure(esk1_0,X2)
| esk4_1(X1) != X3
| X2 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X3)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_33,plain,
( in(X3,esk34_3(X5,X2,X7))
| esk27_3(X5,X2,X7) = esk29_3(X5,X2,X7)
| empty_carrier(X5)
| empty_carrier(X2)
| ~ in(X1,the_carrier(X2))
| X1 != X3
| ~ netstr_induced_subset(X4,X5,X2)
| ~ element(X6,the_carrier(X2))
| X7 != topstr_closure(X5,X4)
| X3 != X6
| X4 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X5,X2,X6)),the_carrier(X5),the_mapping(X5,subnetstr_of_element(X5,X2,X6)))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_34,plain,
( netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_35,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( esk36_4(X1,X2,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( esk3_0 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))))
| esk4_1(X2) != X1
| ~ element(X1,the_carrier(esk2_0))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))),esk1_0,esk2_0)
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))),esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( element(esk4_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
( esk3_0 = topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_41,negated_conjecture,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
( X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4))
| esk27_3(X2,X3,X1) = esk28_3(X2,X3,X1)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X4,esk34_3(X2,X3,X1))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,plain,
( in(X3,esk34_3(X5,X2,X7))
| empty_carrier(X5)
| empty_carrier(X2)
| ~ in(X1,the_carrier(X2))
| X1 != X3
| ~ netstr_induced_subset(X4,X5,X2)
| ~ element(X6,the_carrier(X2))
| X7 != topstr_closure(X5,X4)
| X3 != X6
| X4 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X5,X2,X6)),the_carrier(X5),the_mapping(X5,subnetstr_of_element(X5,X2,X6)))
| esk28_3(X5,X2,X7) != esk29_3(X5,X2,X7)
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_44,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4)))
| X3 != topstr_closure(X1,X5)
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).
cnf(c_0_45,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_46,negated_conjecture,
( esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_47,plain,
( X1 = esk37_4(X2,X3,X4,X1)
| esk27_3(X2,X3,X4) = esk28_3(X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X1,esk34_3(X2,X3,X4))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X2) != esk4_1(X1)
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[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_41,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_50,plain,
( element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))) = esk3_0
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_52,plain,
( in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X2)
| empty_carrier(X3)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X3,X1)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X3,X1)))
| esk29_3(X2,X3,X4) != esk28_3(X2,X3,X4)
| X4 != topstr_closure(X2,X5)
| ~ element(X1,the_carrier(X3))
| ~ netstr_induced_subset(X5,X2,X3)
| ~ in(X1,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_53,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X3 != topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4))))
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4))),X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_54,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))))),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_56,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),X2)
| esk4_1(esk34_3(esk1_0,esk2_0,X1)) != esk4_1(X2)
| ~ in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_58,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))))) = esk3_0
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_59,plain,
( in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X2)
| empty_carrier(X3)
| X4 != topstr_closure(X2,relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X3,X1)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X3,X1))))
| esk29_3(X2,X3,X4) != esk28_3(X2,X3,X4)
| ~ element(X1,the_carrier(X3))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X3,X1)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X3,X1))),X2,X3)
| ~ in(X1,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X2))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X2)))))
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_61,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_63,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))))) = esk3_0
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( in(esk6_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| X2 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1)))))
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_66,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_67,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_61]),c_0_62]),c_0_63]),c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( in(esk6_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| X2 != esk3_0
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_22]) ).
cnf(c_0_69,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_70,negated_conjecture,
esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_49]) ).
cnf(c_0_71,negated_conjecture,
( in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_72,plain,
( in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_73,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_74,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_25]),c_0_26]) ).
cnf(c_0_75,negated_conjecture,
( in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ~ in(esk6_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_26]) ).
cnf(c_0_77,negated_conjecture,
( esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_26]) ).
cnf(c_0_78,plain,
( netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_79,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_25]),c_0_26]) ).
cnf(c_0_81,negated_conjecture,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
( X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4))
| esk27_3(X2,X3,X1) = esk29_3(X2,X3,X1)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X4,esk34_3(X2,X3,X1))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_83,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_84,plain,
( esk36_4(X1,X2,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_85,negated_conjecture,
in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_80]) ).
cnf(c_0_86,plain,
( X1 = esk37_4(X2,X3,X4,X1)
| esk27_3(X2,X3,X4) = esk29_3(X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X1,esk34_3(X2,X3,X4))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_87,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[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_81,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_88,plain,
( element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_89,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))) = esk3_0
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_79]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_90,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_83,c_0_70]) ).
cnf(c_0_91,negated_conjecture,
( esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))))
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_70]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_92,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_79]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_93,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),X2)
| esk4_1(esk34_3(esk1_0,esk2_0,X1)) != esk4_1(X2)
| ~ in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_95,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))) = esk3_0
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_89,c_0_70]) ).
cnf(c_0_96,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))))),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_92,c_0_70]) ).
cnf(c_0_98,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_79]) ).
cnf(c_0_99,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))))) = esk3_0
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_79]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_102,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(rw,[status(thm)],[c_0_98,c_0_70]) ).
cnf(c_0_104,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[c_0_99,c_0_70]) ).
cnf(c_0_105,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))))) = esk3_0
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[c_0_101,c_0_70]) ).
cnf(c_0_107,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_102]),c_0_103]),c_0_104]),c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_77]),c_0_70]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]),c_0_18]) ).
cnf(c_0_109,plain,
( netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_110,negated_conjecture,
esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_108]) ).
cnf(c_0_111,plain,
( esk36_4(X1,X2,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk37_4(X1,X2,X3,X4))))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_112,plain,
( X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4))
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X4,esk34_3(X2,X3,X1))
| esk28_3(X2,X3,X1) != esk29_3(X2,X3,X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_113,plain,
( in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_114,plain,
( esk35_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_115,negated_conjecture,
( netstr_induced_subset(esk36_4(esk1_0,esk2_0,esk3_0,X1),esk1_0,esk2_0)
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_116,negated_conjecture,
( esk36_4(esk1_0,esk2_0,esk3_0,X1) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1))))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_117,plain,
( X1 = esk37_4(X2,X3,X4,X1)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X1,esk34_3(X2,X3,X4))
| esk28_3(X2,X3,X4) != esk29_3(X2,X3,X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_118,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,X1)) = esk3_0
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_119,plain,
( element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X4,esk34_3(X1,X2,X3))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_120,negated_conjecture,
( in(esk35_4(esk1_0,esk2_0,esk3_0,X1),the_carrier(esk2_0))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_121,negated_conjecture,
( esk35_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_122,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1)))),esk1_0,esk2_0)
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_124,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk37_4(esk1_0,esk2_0,esk3_0,X1))))) = esk3_0
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( element(esk37_4(esk1_0,esk2_0,esk3_0,X1),the_carrier(esk2_0))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_110]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_18]),c_0_17]) ).
cnf(c_0_126,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))),esk1_0,esk2_0)
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1)))) = esk3_0
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_123]) ).
cnf(c_0_129,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_125,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(spm,[status(thm)],[c_0_126,c_0_26]) ).
cnf(c_0_131,negated_conjecture,
netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_127,c_0_85]) ).
cnf(c_0_132,negated_conjecture,
topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))))) = esk3_0,
inference(spm,[status(thm)],[c_0_128,c_0_85]) ).
cnf(c_0_133,negated_conjecture,
element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(spm,[status(thm)],[c_0_129,c_0_85]) ).
cnf(c_0_134,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_130]),c_0_85])]) ).
cnf(c_0_135,negated_conjecture,
( esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_131]),c_0_132]),c_0_133])]),c_0_134]) ).
cnf(c_0_136,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_135]),c_0_130])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 20:59:12 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 174.40/174.51 % Version : CSE_E---1.5
% 174.40/174.51 % Problem : theBenchmark.p
% 174.40/174.51 % Proof found
% 174.40/174.51 % SZS status Theorem for theBenchmark.p
% 174.40/174.51 % SZS output start Proof
% See solution above
% 174.53/174.53 % Total time : 173.883000 s
% 174.53/174.53 % SZS output end Proof
% 174.53/174.53 % Total time : 173.895000 s
%------------------------------------------------------------------------------