%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU399+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:58 PM UTC 2026
% Result : Theorem 175.03s 25.98s
% Output : CNFRefutation 175.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of formulae : 138 ( 15 unt; 0 def)
% Number of atoms : 1863 ( 384 equ)
% Maximal formula atoms : 1118 ( 13 avg)
% Number of connectives : 2779 (1054 ~;1516 |; 195 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 128 ( 7 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 280 ( 5 sgn 42 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e6_39_3__yellow19__1,axiom,
! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4] :
( ! [X5,X6,X7] :
( ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& X5 = X7
& ? [X8] :
( ? [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)))
& X6 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& X5 = X6 )
=> X6 = X7 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( ? [X12] :
( ? [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)))
& X6 = X13
& X4 = topstr_closure(X1,X12)
& element(X13,the_carrier(X2)) )
& netstr_induced_subset(X12,X1,X2) )
& X7 = X6
& in(X7,the_carrier(X2)) ) ) ) ),
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] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [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)))
& X6 = X8
& X4 = topstr_closure(X1,X7)
& element(X8,the_carrier(X2)) )
& netstr_induced_subset(X7,X1,X2) )
& in(X6,the_carrier(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(c_0_2,plain,
! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4] :
( ! [X5,X6,X7] :
( ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& X5 = X7
& ? [X8] :
( ? [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)))
& X6 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& X5 = X6 )
=> X6 = X7 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( ? [X12] :
( ? [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)))
& X6 = X13
& X4 = topstr_closure(X1,X12)
& element(X13,the_carrier(X2)) )
& netstr_induced_subset(X12,X1,X2) )
& X7 = X6
& in(X7,the_carrier(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[s1_tarski__e6_39_3__yellow19__1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [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)))
& X6 = X8
& X4 = topstr_closure(X1,X7)
& element(X8,the_carrier(X2)) )
& netstr_induced_subset(X7,X1,X2) )
& in(X6,the_carrier(X2)) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_39_3__yellow19__1]) ).
fof(c_0_4,plain,
! [X153,X154,X155,X164,X168,X169,X170,X171] :
( ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) != esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk29_3(X153,X154,X155) = esk33_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk32_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk33_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk32_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk29_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| 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))))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk28_3(X153,X154,X155) = esk31_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| X155 = topstr_closure(X153,esk30_3(X153,X154,X155))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| element(esk31_3(X153,X154,X155),the_carrier(X154))
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| netstr_induced_subset(esk30_3(X153,X154,X155),X153,X154)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| in(X168,esk34_3(X153,X154,X155))
| 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)))
| X168 != X171
| X155 != topstr_closure(X153,X170)
| ~ element(X171,the_carrier(X154))
| ~ netstr_induced_subset(X170,X153,X154)
| X169 != X168
| ~ in(X169,the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| 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)))) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X164 = esk37_4(X153,X154,X155,X164) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| X155 = topstr_closure(X153,esk36_4(X153,X154,X155,X164)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| element(esk37_4(X153,X154,X155,X164),the_carrier(X154)) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| netstr_induced_subset(esk36_4(X153,X154,X155,X164),X153,X154) )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| esk35_4(X153,X154,X155,X164) = X164 )
& ( ~ net_str(X154,X153)
| ~ directed_relstr(X154)
| ~ transitive_relstr(X154)
| empty_carrier(X154)
| ~ top_str(X153)
| ~ topological_space(X153)
| empty_carrier(X153)
| esk27_3(X153,X154,X155) = esk28_3(X153,X154,X155)
| ~ in(X164,esk34_3(X153,X154,X155))
| in(esk35_4(X153,X154,X155,X164),the_carrier(X154)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [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)))
& X6 = X8
& X4 = topstr_closure(X1,X7)
& element(X8,the_carrier(X2)) )
& netstr_induced_subset(X7,X1,X2) )
& in(X6,the_carrier(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ net_str(X2,X5)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X5)
| ~ topological_space(X5)
| 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)))
| X3 != X6
| X7 != topstr_closure(X5,X4)
| ~ element(X6,the_carrier(X2))
| ~ netstr_induced_subset(X4,X5,X2)
| X1 != X3
| ~ in(X1,the_carrier(X2))
| empty_carrier(X2)
| empty_carrier(X5)
| esk27_3(X5,X2,X7) = esk28_3(X5,X2,X7)
| in(X3,esk34_3(X5,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
! [X17,X19,X20] :
( ( 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)
| esk4_1(X17) = esk6_1(X17) )
& ( in(esk4_1(X17),X17)
| esk3_0 = topstr_closure(esk1_0,esk5_1(X17)) )
& ( in(esk4_1(X17),X17)
| element(esk6_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)
| in(esk4_1(X17),the_carrier(esk2_0)) )
& ( 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)))
| esk4_1(X17) != X20
| esk3_0 != topstr_closure(esk1_0,X19)
| ~ element(X20,the_carrier(esk2_0))
| ~ netstr_induced_subset(X19,esk1_0,esk2_0)
| ~ in(esk4_1(X17),the_carrier(esk2_0))
| ~ in(esk4_1(X17),X17) )
& net_str(esk2_0,esk1_0)
& directed_relstr(esk2_0)
& transitive_relstr(esk2_0)
& ~ empty_carrier(esk2_0)
& top_str(esk1_0)
& topological_space(esk1_0)
& ~ empty_carrier(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_5])])])])])])]) ).
cnf(c_0_8,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ element(X4,the_carrier(X2))
| X3 != topstr_closure(X1,X5)
| 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)))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X4,esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
( in(esk4_1(X1),X1)
| netstr_induced_subset(esk5_1(X1),esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( in(esk4_1(X1),X1)
| 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)))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(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)
| ~ element(X4,the_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))))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X4,esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( in(esk4_1(X1),X1)
| 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) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
directed_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
transitive_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( in(esk4_1(X1),X1)
| esk3_0 = topstr_closure(esk1_0,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( ~ in(esk6_1(X2),the_carrier(esk2_0))
| 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(esk4_1(X2),X2)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1) ),
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_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]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( in(esk4_1(X1),X1)
| 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))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(esk6_1(X2),the_carrier(esk2_0))
| X1 != esk3_0
| in(esk4_1(X2),X2)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1)
| in(esk6_1(X1),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(er,[status(thm)],[c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X1) = esk6_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| esk35_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( 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)))
| esk4_1(X1) != X3
| esk3_0 != topstr_closure(esk1_0,X2)
| ~ element(X3,the_carrier(esk2_0))
| ~ netstr_induced_subset(X2,esk1_0,esk2_0)
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| in(esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_34,plain,
( ~ net_str(X2,X5)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X5)
| ~ topological_space(X5)
| 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)))
| X3 != X6
| X7 != topstr_closure(X5,X4)
| ~ element(X6,the_carrier(X2))
| ~ netstr_induced_subset(X4,X5,X2)
| X1 != X3
| ~ in(X1,the_carrier(X2))
| empty_carrier(X2)
| empty_carrier(X5)
| esk27_3(X5,X2,X7) = esk29_3(X5,X2,X7)
| in(X3,esk34_3(X5,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),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(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| 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)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,negated_conjecture,
( ~ in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),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)
| ~ element(X1,the_carrier(esk2_0))
| esk4_1(X2) != X1
| 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)))) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( in(esk4_1(X1),X1)
| 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) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk4_1(X1),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_41,negated_conjecture,
( in(esk4_1(X1),X1)
| 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))))) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X1)
| empty_carrier(X2)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X3,X1))
| empty_carrier(X3)
| empty_carrier(X2)
| esk27_3(X2,X3,X1) = esk28_3(X2,X3,X1)
| X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,plain,
( ~ net_str(X2,X5)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X5)
| ~ topological_space(X5)
| esk28_3(X5,X2,X7) != esk29_3(X5,X2,X7)
| 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)))
| X3 != X6
| X7 != topstr_closure(X5,X4)
| ~ element(X6,the_carrier(X2))
| ~ netstr_induced_subset(X4,X5,X2)
| X1 != X3
| ~ in(X1,the_carrier(X2))
| empty_carrier(X2)
| empty_carrier(X5)
| in(X3,esk34_3(X5,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ element(X4,the_carrier(X2))
| X3 != topstr_closure(X1,X5)
| 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)))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X4,esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).
cnf(c_0_46,negated_conjecture,
( 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)
| 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_35,c_0_36]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_47,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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)))))) ),
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_37,c_0_36]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_48,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X3)
| empty_carrier(X2)
| esk27_3(X2,X3,X4) = esk28_3(X2,X3,X4)
| X1 = esk37_4(X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,negated_conjecture,
( ~ in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| esk4_1(X2) != esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1) ),
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_42,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_51,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_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_43,c_0_36]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_53,plain,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2)
| ~ in(X1,the_carrier(X3))
| ~ netstr_induced_subset(X5,X2,X3)
| ~ element(X1,the_carrier(X3))
| X4 != topstr_closure(X2,X5)
| esk29_3(X2,X3,X4) != esk28_3(X2,X3,X4)
| 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)))
| empty_carrier(X3)
| empty_carrier(X2)
| in(X1,esk34_3(X2,X3,X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])]) ).
cnf(c_0_54,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(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)
| ~ element(X4,the_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))))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X4,esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_55,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,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)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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)) ),
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_48,c_0_36]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_57,negated_conjecture,
( ~ in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,X1))
| esk4_1(esk34_3(esk1_0,esk2_0,X1)) != esk4_1(X2)
| in(esk4_1(X2),X2)
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_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_51,c_0_36]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_59,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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 ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_60,plain,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2)
| ~ in(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)
| ~ element(X1,the_carrier(X3))
| esk29_3(X2,X3,X4) != esk28_3(X2,X3,X4)
| 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))))
| empty_carrier(X3)
| empty_carrier(X2)
| in(X1,esk34_3(X2,X3,X4)) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( ~ in(esk6_1(X2),the_carrier(esk2_0))
| 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(esk4_1(X2),X2)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1) ),
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_54,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_62,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)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| in(esk4_1(X1),X1)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]) ).
cnf(c_0_64,negated_conjecture,
( element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_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_56]) ).
cnf(c_0_65,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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_59,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| 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)))))
| in(esk4_1(X1),X1)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,X2)) ),
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_60,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_67,negated_conjecture,
( ~ in(esk6_1(X2),the_carrier(esk2_0))
| X1 != esk3_0
| in(esk4_1(X2),X2)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_23]) ).
cnf(c_0_68,negated_conjecture,
( ~ in(esk4_1(X1),the_carrier(esk2_0))
| esk4_1(X1) != 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_62]),c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| X2 != esk3_0
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| in(esk4_1(X1),X1)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_23]) ).
cnf(c_0_70,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1)
| in(esk6_1(X1),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(er,[status(thm)],[c_0_67]) ).
cnf(c_0_71,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_68]),c_0_50]) ).
cnf(c_0_72,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_74,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| esk35_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_75,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_26]),c_0_27]) ).
cnf(c_0_76,negated_conjecture,
( ~ in(esk6_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1)
| in(esk6_1(X1),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| in(esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_27]) ).
cnf(c_0_78,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| esk35_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_74,c_0_27]) ).
cnf(c_0_79,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_80,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),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(ef,[status(thm)],[c_0_75]) ).
cnf(c_0_81,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_26]),c_0_27]) ).
cnf(c_0_82,negated_conjecture,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X1)
| empty_carrier(X2)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X3,X1))
| empty_carrier(X3)
| empty_carrier(X2)
| esk27_3(X2,X3,X1) = esk29_3(X2,X3,X1)
| X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_84,negated_conjecture,
( 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)
| 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_79,c_0_80]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_85,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| 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)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_86,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_81]) ).
cnf(c_0_87,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X3)
| empty_carrier(X2)
| esk27_3(X2,X3,X4) = esk29_3(X2,X3,X4)
| X1 = esk37_4(X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_88,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1) ),
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_82,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_89,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_90,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_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_83,c_0_80]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_91,negated_conjecture,
( 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)
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_92,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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)))))) ),
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_85,c_0_86]),c_0_71]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_93,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| 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)) ),
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_87,c_0_80]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_94,negated_conjecture,
( ~ in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,X1))
| esk4_1(esk34_3(esk1_0,esk2_0,X1)) != esk4_1(X2)
| in(esk4_1(X2),X2)
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_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_89,c_0_80]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_96,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))) = esk3_0 ),
inference(rw,[status(thm)],[c_0_90,c_0_71]) ).
cnf(c_0_97,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,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)
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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)) ),
inference(rw,[status(thm)],[c_0_93,c_0_71]) ).
cnf(c_0_99,negated_conjecture,
( esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| in(esk4_1(X1),X1)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
( element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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 ),
inference(spm,[status(thm)],[c_0_96,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( in(esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_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_73,c_0_80]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_103,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)
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_99,c_0_71]) ).
cnf(c_0_105,negated_conjecture,
( element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_100,c_0_71]) ).
cnf(c_0_106,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| 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_101,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( in(esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0))
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_102,c_0_71]) ).
cnf(c_0_108,negated_conjecture,
( ~ in(esk4_1(X1),the_carrier(esk2_0))
| esk4_1(X1) != 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_103]),c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_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_107,c_0_78]),c_0_71]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]),c_0_19]) ).
cnf(c_0_110,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_111,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_108]),c_0_109]) ).
cnf(c_0_112,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| 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)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_113,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X3,X1) != esk29_3(X2,X3,X1)
| ~ in(X4,esk34_3(X2,X3,X1))
| empty_carrier(X3)
| empty_carrier(X2)
| X1 = topstr_closure(X2,esk36_4(X2,X3,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_114,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_115,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| esk35_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_116,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| netstr_induced_subset(esk36_4(esk1_0,esk2_0,esk3_0,X1),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_110,c_0_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_117,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| 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)))) ),
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_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_118,plain,
( ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X3,X4) != esk29_3(X2,X3,X4)
| ~ in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X3)
| empty_carrier(X2)
| X1 = esk37_4(X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_119,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,esk3_0,X1)) = 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_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_120,plain,
( ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_121,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk35_4(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_122,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| esk35_4(esk1_0,esk2_0,esk3_0,X1) = X1 ),
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_115,c_0_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_123,negated_conjecture,
( ~ in(X1,esk34_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,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) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| esk37_4(esk1_0,esk2_0,esk3_0,X1) = X1 ),
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_118,c_0_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_125,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| 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 ),
inference(spm,[status(thm)],[c_0_119,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| element(esk37_4(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_111]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_19]),c_0_18]) ).
cnf(c_0_127,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| in(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_128,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_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) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,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)))) = esk3_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0))
| element(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_126,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(spm,[status(thm)],[c_0_127,c_0_27]) ).
cnf(c_0_132,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_128,c_0_86]) ).
cnf(c_0_133,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_129,c_0_86]) ).
cnf(c_0_134,negated_conjecture,
element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(spm,[status(thm)],[c_0_130,c_0_86]) ).
cnf(c_0_135,negated_conjecture,
( esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_131]),c_0_86])]) ).
cnf(c_0_136,negated_conjecture,
( ~ in(esk4_1(X1),the_carrier(esk2_0))
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_132]),c_0_133]),c_0_134])]),c_0_135]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_136]),c_0_131])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU399+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 06:22:14 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.50 Running first-order theorem proving
% 0.16/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 175.03/25.98 % Version: 3.5.1
% 175.03/25.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 175.03/25.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.03/25.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 175.03/25.98 % Starting new_bool_3 with 300s (1) cores
% 175.03/25.98 % Starting new_bool_1 with 300s (1) cores
% 175.03/25.98 % Starting sh5l with 300s (1) cores
% 175.03/25.98 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1158209 completed with status 0
% 175.03/25.98 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 175.03/25.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 175.03/25.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.03/25.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 175.03/25.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 175.03/25.98 % No SInE strategy applied
% 175.03/25.98 % Search class: FGHSM-FSLM31-MFFFFFNN
% 175.03/25.98 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 175.03/25.98 % Starting SubtermCWHack with 136s (1) cores
% 175.03/25.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 175.03/25.98 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 175.03/25.98 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 175.03/25.98 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 175.03/25.98 % G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 1158219 completed with status 0
% 175.03/25.98 % Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 175.03/25.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 175.03/25.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.03/25.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 175.03/25.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 175.03/25.98 % No SInE strategy applied
% 175.03/25.98 % Search class: FGHSM-FSLM31-MFFFFFNN
% 175.03/25.98 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 175.03/25.98 % Starting SubtermCWHack with 136s (1) cores
% 175.03/25.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 175.03/25.98 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 175.03/25.98 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 175.03/25.98 % Preprocessing time : 0.010 s
% 175.03/25.98 % Presaturation interreduction done
% 175.03/25.98
% 175.03/25.98 % Proof found!
% 175.03/25.98 % SZS status Theorem
% 175.03/25.98 % SZS output start CNFRefutation
% See solution above
% 175.03/25.98 % Parsed axioms : 69
% 175.03/25.98 % Removed by relevancy pruning/SinE : 0
% 175.03/25.98 % Initial clauses : 263
% 175.03/25.98 % Removed in clause preprocessing : 10
% 175.03/25.98 % Initial clauses in saturation : 253
% 175.03/25.98 % Processed clauses : 42507
% 175.03/25.98 % ...of these trivial : 202
% 175.03/25.98 % ...subsumed : 30080
% 175.03/25.98 % ...remaining for further processing : 12225
% 175.03/25.98 % Other redundant clauses eliminated : 26
% 175.03/25.98 % Clauses deleted for lack of memory : 0
% 175.03/25.98 % Backward-subsumed : 7918
% 175.03/25.98 % Backward-rewritten : 2080
% 175.03/25.98 % Generated clauses : 150445
% 175.03/25.98 % ...of the previous two non-redundant : 139211
% 175.03/25.98 % ...aggressively subsumed : 0
% 175.03/25.98 % Contextual simplify-reflections : 604
% 175.03/25.98 % Paramodulations : 149956
% 175.03/25.98 % Factorizations : 146
% 175.03/25.98 % NegExts : 0
% 175.03/25.98 % Equation resolutions : 356
% 175.03/25.98 % Disequality decompositions : 0
% 175.03/25.98 % Total rewrite steps : 279801
% 175.03/25.98 % ...of those cached : 279778
% 175.03/25.98 % Propositional unsat checks : 0
% 175.03/25.98 % Propositional check models : 0
% 175.03/25.98 % Propositional check unsatisfiable : 0
% 175.03/25.98 % Propositional clauses : 0
% 175.03/25.98 % Propositional clauses after purity: 0
% 175.03/25.98 % Propositional unsat core size : 0
% 175.03/25.98 % Propositional preprocessing time : 0.000
% 175.03/25.98 % Propositional encoding time : 0.000
% 175.03/25.98 % Propositional solver time : 0.000
% 175.03/25.98 % Success case prop preproc time : 0.000
% 175.03/25.98 % Success case prop encoding time : 0.000
% 175.03/25.98 % Success case prop solver time : 0.000
% 175.03/25.98 % Current number of processed clauses : 1968
% 175.03/25.98 % Positive orientable unit clauses : 31
% 175.03/25.98 % Positive unorientable unit clauses: 0
% 175.03/25.98 % Negative unit clauses : 10
% 175.03/25.98 % Non-unit-clauses : 1927
% 175.03/25.98 % Current number of unprocessed clauses: 86578
% 175.03/25.98 % ...number of literals in the above : 723807
% 175.03/25.98 % Current number of archived formulas : 0
% 175.03/25.98 % Current number of archived clauses : 10244
% 175.03/25.98 % Clause-clause subsumption calls (NU) : 28364107
% 175.03/25.98 % Rec. Clause-clause subsumption calls : 1546513
% 175.03/25.98 % Non-unit clause-clause subsumptions : 37601
% 175.03/25.98 % Unit Clause-clause subsumption calls : 11430
% 175.03/25.98 % Rewrite failures with RHS unbound : 0
% 175.03/25.98 % BW rewrite match attempts : 77
% 175.03/25.98 % BW rewrite match successes : 13
% 175.03/25.98 % Condensation attempts : 0
% 175.03/25.98 % Condensation successes : 0
% 175.03/25.98 % Termbank termtop insertions : 7978855
% 175.03/25.98 % Search garbage collected termcells : 2845
% 175.03/25.98
% 175.03/25.98 % -------------------------------------------------
% 175.03/25.98 % User time : 24.908 s
% 175.03/25.98 % System time : 0.180 s
% 175.03/25.98 % Total time : 25.088 s
% 175.03/25.98 % Maximum resident set size: 4496 pages
% 175.03/25.98
% 175.03/25.98 % -------------------------------------------------
% 175.03/25.98 % User time : 122.970 s
% 175.03/25.98 % System time : 2.871 s
% 175.03/25.98 % Total time : 125.841 s
% 175.03/25.98 % Maximum resident set size: 4864 pages
% 175.03/25.98 % E exiting
%------------------------------------------------------------------------------