TSTP Solution File: SEU399+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:41:53 EDT 2022
% Result : Theorem 18.15s 3.65s
% Output : CNFRefutation 18.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 38
% Syntax : Number of clauses : 171 ( 23 unt; 143 nHn; 105 RR)
% Number of literals : 1017 ( 218 equ; 534 neg)
% Maximal clause size : 16 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 373 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
( in(esk4_1(X1),X1)
| netstr_induced_subset(esk5_1(X1),esk1_0,esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
( 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)))) = esk5_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_1) ).
cnf(i_0_208,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,esk34_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| X3 != topstr_closure(X1,X7)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_208) ).
cnf(i_0_2,negated_conjecture,
( esk4_1(X1) = esk6_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
( topstr_closure(esk1_0,esk5_1(X1)) = esk3_0
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_3) ).
cnf(i_0_8,negated_conjecture,
net_str(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
directed_relstr(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
transitive_relstr(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_10) ).
cnf(i_0_12,negated_conjecture,
top_str(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
topological_space(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
~ empty_carrier(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_14) ).
cnf(i_0_11,negated_conjecture,
~ empty_carrier(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_11) ).
cnf(i_0_6,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),the_carrier(esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_6) ).
cnf(i_0_263,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_263) ).
cnf(i_0_262,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_262) ).
cnf(i_0_215,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_215) ).
cnf(i_0_214,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_214) ).
cnf(i_0_167,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_167) ).
cnf(i_0_166,plain,
( esk35_4(X1,X2,X3,X4) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_166) ).
cnf(i_0_256,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,esk34_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| X3 != topstr_closure(X1,X7)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_256) ).
cnf(i_0_160,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,esk34_3(X1,X2,X4))
| X3 != X5
| X6 != X3
| X4 != topstr_closure(X1,X7)
| esk29_3(X1,X2,X4) != esk28_3(X1,X2,X4)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_160) ).
cnf(i_0_210,plain,
( esk37_4(X1,X2,X3,X4) = X4
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_210) ).
cnf(i_0_258,plain,
( esk37_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_258) ).
cnf(i_0_212,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_212) ).
cnf(i_0_260,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_260) ).
cnf(i_0_164,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk37_4(X2,X1,X3,X4),the_carrier(X1))
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_164) ).
cnf(i_0_162,plain,
( esk37_4(X1,X2,X3,X4) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_162) ).
cnf(i_0_213,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_213) ).
cnf(i_0_209,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_209) ).
cnf(i_0_211,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_211) ).
cnf(i_0_261,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_261) ).
cnf(i_0_257,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_257) ).
cnf(i_0_259,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_259) ).
cnf(i_0_7,negated_conjecture,
( esk4_1(X1) != X2
| topstr_closure(esk1_0,X3) != esk3_0
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X2)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X2)))
| ~ in(esk4_1(X1),X1)
| ~ element(X2,the_carrier(esk2_0))
| ~ netstr_induced_subset(X3,esk1_0,esk2_0)
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_7) ).
cnf(i_0_165,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(esk36_4(X2,X1,X3,X4),X2,X1)
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_165) ).
cnf(i_0_161,plain,
( 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_161) ).
cnf(i_0_163,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jom3uklp/lgb.p',i_0_163) ).
cnf(c_0_302,negated_conjecture,
( in(esk4_1(X1),X1)
| netstr_induced_subset(esk5_1(X1),esk1_0,esk2_0) ),
i_0_5 ).
cnf(c_0_303,negated_conjecture,
( 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)))) = esk5_1(X1)
| in(esk4_1(X1),X1) ),
i_0_1 ).
cnf(c_0_304,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,esk34_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| X3 != topstr_closure(X1,X7)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
i_0_208 ).
cnf(c_0_305,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1)))),esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_306,negated_conjecture,
( esk4_1(X1) = esk6_1(X1)
| in(esk4_1(X1),X1) ),
i_0_2 ).
cnf(c_0_307,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk2_0)) ),
i_0_4 ).
cnf(c_0_308,negated_conjecture,
( topstr_closure(esk1_0,esk5_1(X1)) = esk3_0
| in(esk4_1(X1),X1) ),
i_0_3 ).
cnf(c_0_309,plain,
( esk27_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))))) = esk29_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3)))))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X3,esk34_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))))))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))),X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ in(X3,the_carrier(X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_304])])])]) ).
cnf(c_0_310,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))),esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_311,negated_conjecture,
net_str(esk2_0,esk1_0),
i_0_8 ).
cnf(c_0_312,negated_conjecture,
directed_relstr(esk2_0),
i_0_9 ).
cnf(c_0_313,negated_conjecture,
transitive_relstr(esk2_0),
i_0_10 ).
cnf(c_0_314,negated_conjecture,
top_str(esk1_0),
i_0_12 ).
cnf(c_0_315,negated_conjecture,
topological_space(esk1_0),
i_0_13 ).
cnf(c_0_316,negated_conjecture,
~ empty_carrier(esk1_0),
i_0_14 ).
cnf(c_0_317,negated_conjecture,
~ empty_carrier(esk2_0),
i_0_11 ).
cnf(c_0_318,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),the_carrier(esk2_0)) ),
i_0_6 ).
cnf(c_0_319,negated_conjecture,
( element(esk4_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_306]) ).
cnf(c_0_320,negated_conjecture,
( 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))))) = esk3_0
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_308,c_0_303]) ).
cnf(c_0_321,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_263 ).
cnf(c_0_322,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_262 ).
cnf(c_0_323,negated_conjecture,
( esk27_3(esk1_0,esk2_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)))))) = esk29_3(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))))))
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))))))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[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_309,c_0_310]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]),c_0_318]),c_0_319]) ).
cnf(c_0_324,negated_conjecture,
( 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))))) = esk3_0
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_320,c_0_306]) ).
cnf(c_0_325,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk35_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_215 ).
cnf(c_0_326,plain,
( esk35_4(X1,X2,X3,X4) = X4
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_214 ).
cnf(c_0_327,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_328,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_329,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_330,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
i_0_167 ).
cnf(c_0_331,plain,
( esk35_4(X1,X2,X3,X4) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_166 ).
cnf(c_0_332,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(X4,esk34_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| X3 != topstr_closure(X1,X7)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
i_0_256 ).
cnf(c_0_333,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,esk34_3(X1,X2,X4))
| X3 != X5
| X6 != X3
| X4 != topstr_closure(X1,X7)
| esk29_3(X1,X2,X4) != esk28_3(X1,X2,X4)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X5)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X5)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
i_0_160 ).
cnf(c_0_334,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_335,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_329,c_0_328]) ).
cnf(c_0_336,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(X1))
| esk28_3(X2,X1,X4) != esk29_3(X2,X1,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk34_3(X2,X1,X4)) ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_337,plain,
( esk27_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))))) = esk28_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3)))))
| empty_carrier(X2)
| empty_carrier(X1)
| in(X3,esk34_3(X1,X2,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))))))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))),X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ in(X3,the_carrier(X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_332])])])]) ).
cnf(c_0_338,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,esk34_3(X2,X1,topstr_closure(X2,relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X3)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X3))))))
| esk28_3(X2,X1,topstr_closure(X2,relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X3)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X3))))) != esk29_3(X2,X1,topstr_closure(X2,relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X3)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X3)))))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X3)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X3))),X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ in(X3,the_carrier(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_333])])])]) ).
cnf(c_0_339,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_340,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_341,negated_conjecture,
( empty_carrier(X1)
| empty_carrier(X2)
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_318]) ).
cnf(c_0_342,negated_conjecture,
( esk27_3(esk1_0,esk2_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)))))) = esk28_3(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))))))
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))))))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[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_337,c_0_310]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]),c_0_318]),c_0_319]) ).
cnf(c_0_343,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))))))
| in(esk4_1(X1),X1)
| esk28_3(esk1_0,esk2_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)))))) != esk29_3(esk1_0,esk2_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(csr,[status(thm)],[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_338,c_0_310]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]),c_0_318]),c_0_319]) ).
cnf(c_0_344,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_339]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_345,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_340]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_346,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| esk28_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_341,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_347,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_342,c_0_324]) ).
cnf(c_0_348,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk28_3(esk1_0,esk2_0,esk3_0) != esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_343,c_0_324]) ).
cnf(c_0_349,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_350,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_347]),c_0_348]) ).
cnf(c_0_351,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| in(esk4_1(X2),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_349]),c_0_348]) ).
cnf(c_0_352,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(ef,[status(thm)],[c_0_350]) ).
cnf(c_0_353,negated_conjecture,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(ef,[status(thm)],[c_0_351]) ).
cnf(c_0_354,plain,
( esk37_4(X1,X2,X3,X4) = X4
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_210 ).
cnf(c_0_355,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_352]) ).
cnf(c_0_356,plain,
( esk37_4(X1,X2,X3,X4) = X4
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_258 ).
cnf(c_0_357,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_212 ).
cnf(c_0_358,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| element(esk37_4(X1,X2,X3,X4),the_carrier(X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_260 ).
cnf(c_0_359,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk37_4(X2,X1,X3,X4),the_carrier(X1))
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
i_0_164 ).
cnf(c_0_360,plain,
( esk37_4(X1,X2,X3,X4) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_162 ).
cnf(c_0_361,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_353]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_362,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_213 ).
cnf(c_0_363,plain,
( esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_209 ).
cnf(c_0_364,plain,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_365,plain,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_355]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_366,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_355]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_367,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_355]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_368,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(X3,the_carrier(X1))
| esk28_3(X2,X1,X4) != esk29_3(X2,X1,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk34_3(X2,X1,X4)) ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_369,plain,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X2)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_361]),c_0_346]) ).
cnf(c_0_370,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| esk29_3(X1,X2,X3) = esk27_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_211 ).
cnf(c_0_371,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| netstr_induced_subset(esk36_4(X1,X2,X3,X4),X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_261 ).
cnf(c_0_372,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_257 ).
cnf(c_0_373,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_259 ).
cnf(c_0_374,negated_conjecture,
( esk4_1(X1) != X2
| topstr_closure(esk1_0,X3) != esk3_0
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X2)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X2)))
| ~ in(esk4_1(X1),X1)
| ~ element(X2,the_carrier(esk2_0))
| ~ netstr_induced_subset(X3,esk1_0,esk2_0)
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
i_0_7 ).
cnf(c_0_375,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(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)))),X1,X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_376,plain,
( 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))
| esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_377,plain,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| element(esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_378,plain,
( element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| esk28_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_368,c_0_355]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_379,plain,
( in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(ef,[status(thm)],[c_0_369]) ).
cnf(c_0_380,plain,
( topstr_closure(X1,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))))) = X3
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_370,c_0_363]) ).
cnf(c_0_381,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(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)))),X1,X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_382,plain,
( topstr_closure(X1,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))))) = X3
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_373,c_0_372]) ).
cnf(c_0_383,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_327,c_0_347]) ).
cnf(c_0_384,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_329,c_0_347]) ).
cnf(c_0_385,negated_conjecture,
( 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))))) != esk3_0
| ~ 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)
| ~ element(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_374])]) ).
cnf(c_0_386,plain,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),esk1_0,esk2_0) ),
inference(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_375,c_0_376]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315]),c_0_355])]),c_0_316]),c_0_317]) ).
cnf(c_0_387,plain,
element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_376]),c_0_378]) ).
cnf(c_0_388,plain,
in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(ef,[status(thm)],[c_0_379]) ).
cnf(c_0_389,plain,
( 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
| esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_376]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315]),c_0_355])]),c_0_316]),c_0_317]) ).
cnf(c_0_390,plain,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))))),esk1_0,esk2_0) ),
inference(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_381,c_0_376]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315]),c_0_355])]),c_0_316]),c_0_317]) ).
cnf(c_0_391,plain,
( 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
| esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_376]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315]),c_0_355])]),c_0_316]),c_0_317]) ).
cnf(c_0_392,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_393,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_394,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| element(esk37_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_357,c_0_352]) ).
cnf(c_0_395,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]),c_0_388]),c_0_355])]),c_0_389]) ).
cnf(c_0_396,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_390]),c_0_387]),c_0_388]),c_0_355])]),c_0_391]) ).
cnf(c_0_397,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| element(esk37_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_358,c_0_352]) ).
cnf(c_0_398,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_392]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_399,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_393]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_400,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| element(esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_401,negated_conjecture,
esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_402,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| element(esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_403,plain,
( esk37_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_354,c_0_352]) ).
cnf(c_0_404,plain,
( esk37_4(X1,X2,X3,esk4_1(esk34_3(X1,X2,X3))) = esk4_1(esk34_3(X1,X2,X3))
| esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_356,c_0_352]) ).
cnf(c_0_405,plain,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_346]) ).
cnf(c_0_406,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(esk36_4(X2,X1,X3,X4),X2,X1)
| esk29_3(X2,X1,X3) != esk28_3(X2,X1,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
i_0_165 ).
cnf(c_0_407,plain,
( 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)))) = esk36_4(X1,X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_161 ).
cnf(c_0_408,plain,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| element(esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))),the_carrier(esk2_0))
| element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_400]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_409,plain,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| element(esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))),the_carrier(esk2_0))
| element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_402]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_410,negated_conjecture,
( esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))) = esk4_1(esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_411,negated_conjecture,
( esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))) = esk4_1(esk34_3(esk1_0,esk2_0,X1))
| esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_412,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_368,c_0_352]) ).
cnf(c_0_413,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_327,c_0_352]) ).
cnf(c_0_414,plain,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X2)),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_349,c_0_405]) ).
cnf(c_0_415,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(esk4_1(esk34_3(X1,X2,X3)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(X1,X2,X3)),the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_329,c_0_352]) ).
cnf(c_0_416,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4)))),X2,X1)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_417,plain,
( esk28_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| element(esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))),the_carrier(esk2_0))
| element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_418,negated_conjecture,
( esk37_4(esk1_0,esk2_0,X1,esk4_1(esk34_3(esk1_0,esk2_0,X1))) = esk4_1(esk34_3(esk1_0,esk2_0,X1))
| esk28_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_419,negated_conjecture,
( element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| esk28_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_412,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_420,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_421,plain,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(ef,[status(thm)],[c_0_414]) ).
cnf(c_0_422,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_423,plain,
( topstr_closure(X1,esk36_4(X1,X2,X3,X4)) = X3
| empty_carrier(X2)
| empty_carrier(X1)
| esk29_3(X1,X2,X3) != esk28_3(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
i_0_163 ).
cnf(c_0_424,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))),X1,X2)
| esk28_3(X1,X2,X4) != esk29_3(X1,X2,X4)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk34_3(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_416,c_0_360]) ).
cnf(c_0_425,plain,
( element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0))
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).
cnf(c_0_426,plain,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(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_336,c_0_420]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]),c_0_421]) ).
cnf(c_0_427,plain,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_422]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_428,plain,
( topstr_closure(X1,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))))) = X3
| empty_carrier(X1)
| empty_carrier(X2)
| esk28_3(X1,X2,X3) != esk29_3(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X4,esk34_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_423,c_0_407]) ).
cnf(c_0_429,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(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_424,c_0_355]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_316]),c_0_317]) ).
cnf(c_0_430,plain,
element(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_425]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_317]),c_0_316]) ).
cnf(c_0_431,plain,
in(esk4_1(esk34_3(esk1_0,esk2_0,X1)),the_carrier(esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_346]) ).
cnf(c_0_432,plain,
( topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3)))) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| esk28_3(X1,X2,X4) != esk29_3(X1,X2,X4)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk34_3(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_428,c_0_360]) ).
cnf(c_0_433,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_429]),c_0_430]),c_0_431]),c_0_355])]) ).
cnf(c_0_434,negated_conjecture,
$false,
inference(sr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_355]),c_0_401]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315])]),c_0_433]),c_0_317]),c_0_316]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 04:55:54 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 18.15/3.65 # ENIGMATIC: Solved by autoschedule-lgb:
% 18.15/3.65 # No SInE strategy applied
% 18.15/3.65 # Trying AutoSched0 for 150 seconds
% 18.15/3.65 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 18.15/3.65 # and selection function SelectMaxLComplexAvoidPosPred.
% 18.15/3.65 #
% 18.15/3.65 # Preprocessing time : 0.027 s
% 18.15/3.65 # Presaturation interreduction done
% 18.15/3.65
% 18.15/3.65 # Proof found!
% 18.15/3.65 # SZS status Theorem
% 18.15/3.65 # SZS output start CNFRefutation
% See solution above
% 18.15/3.65 # Training examples: 0 positive, 0 negative
% 18.15/3.65
% 18.15/3.65 # -------------------------------------------------
% 18.15/3.65 # User time : 1.203 s
% 18.15/3.65 # System time : 0.023 s
% 18.15/3.65 # Total time : 1.226 s
% 18.15/3.65 # Maximum resident set size: 7128 pages
% 18.15/3.65
%------------------------------------------------------------------------------