TSTP Solution File: SEU392+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU392+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:41:49 EDT 2022
% Result : Theorem 25.57s 4.65s
% Output : CNFRefutation 25.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of clauses : 95 ( 21 unt; 56 nHn; 82 RR)
% Number of literals : 391 ( 12 equ; 226 neg)
% Maximal clause size : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 163 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_89,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_89) ).
cnf(i_0_413,negated_conjecture,
net_str(esk50_0,esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_413) ).
cnf(i_0_414,negated_conjecture,
directed_relstr(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_414) ).
cnf(i_0_417,negated_conjecture,
top_str(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_417) ).
cnf(i_0_418,negated_conjecture,
topological_space(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_418) ).
cnf(i_0_415,negated_conjecture,
transitive_relstr(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_415) ).
cnf(i_0_416,negated_conjecture,
~ empty_carrier(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_416) ).
cnf(i_0_419,negated_conjecture,
~ empty_carrier(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_419) ).
cnf(i_0_77,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,X4)
| point_neighbourhood(esk1_4(X2,X1,X4,X3),X2,X3)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_77) ).
cnf(i_0_412,negated_conjecture,
element(esk51_0,the_carrier(esk49_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_412) ).
cnf(i_0_102,plain,
( empty_carrier(X1)
| element(X2,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ point_neighbourhood(X2,X1,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_102) ).
cnf(i_0_80,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_80) ).
cnf(i_0_90,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_90) ).
cnf(i_0_189,plain,
( open_subset(interior(X1,X2),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_189) ).
cnf(i_0_86,plain,
( in(X1,X2)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ in(X4,X1)
| ~ open_subset(X1,X3)
| ~ is_a_convergence_point_of_set(X3,X2,X4)
| ~ element(X1,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_86) ).
cnf(i_0_410,negated_conjecture,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_410) ).
cnf(i_0_99,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_99) ).
cnf(i_0_409,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ in(X3,filter_of_net_str(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_409) ).
cnf(i_0_434,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ subset(X4,X3)
| ~ is_eventually_in(X2,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_434) ).
cnf(i_0_426,plain,
( subset(interior(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_426) ).
cnf(i_0_78,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ in(X5,X4)
| ~ net_str(X1,X2)
| ~ point_neighbourhood(X3,X2,X5)
| ~ element(X5,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_78) ).
cnf(i_0_427,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_427) ).
cnf(i_0_428,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,X2)
| ~ open_subset(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_428) ).
cnf(i_0_85,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| element(esk4_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_85) ).
cnf(i_0_84,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| open_subset(esk4_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_84) ).
cnf(i_0_76,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,X4)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2)))
| ~ is_eventually_in(X2,X1,esk1_4(X2,X1,X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_76) ).
cnf(i_0_83,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| in(X3,esk4_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_83) ).
cnf(i_0_407,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,filter_of_net_str(X2,X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_eventually_in(X2,X1,X3)
| ~ element(X3,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_407) ).
cnf(i_0_411,negated_conjecture,
( ~ in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_411) ).
cnf(i_0_82,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(esk4_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-817rum4h/input.p',i_0_82) ).
cnf(c_0_465,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2) ),
i_0_89 ).
cnf(c_0_466,negated_conjecture,
net_str(esk50_0,esk49_0),
i_0_413 ).
cnf(c_0_467,negated_conjecture,
directed_relstr(esk50_0),
i_0_414 ).
cnf(c_0_468,negated_conjecture,
top_str(esk49_0),
i_0_417 ).
cnf(c_0_469,negated_conjecture,
topological_space(esk49_0),
i_0_418 ).
cnf(c_0_470,negated_conjecture,
transitive_relstr(esk50_0),
i_0_415 ).
cnf(c_0_471,negated_conjecture,
~ empty_carrier(esk50_0),
i_0_416 ).
cnf(c_0_472,negated_conjecture,
~ empty_carrier(esk49_0),
i_0_419 ).
cnf(c_0_473,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,X4)
| point_neighbourhood(esk1_4(X2,X1,X4,X3),X2,X3)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2))) ),
i_0_77 ).
cnf(c_0_474,negated_conjecture,
element(lim_points_of_net(esk49_0,esk50_0),powerset(the_carrier(esk49_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_465,c_0_466]),c_0_467]),c_0_468]),c_0_469]),c_0_470])]),c_0_471]),c_0_472]) ).
cnf(c_0_475,negated_conjecture,
( point_neighbourhood(esk1_4(esk49_0,X1,lim_points_of_net(esk49_0,esk50_0),X2),esk49_0,X2)
| in(X2,lim_points_of_net(esk49_0,esk50_0))
| empty_carrier(X1)
| lim_points_of_net(esk49_0,esk50_0) != lim_points_of_net(esk49_0,X1)
| ~ element(X2,the_carrier(esk49_0))
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_468]),c_0_469])]),c_0_472]) ).
cnf(c_0_476,negated_conjecture,
element(esk51_0,the_carrier(esk49_0)),
i_0_412 ).
cnf(c_0_477,plain,
( empty_carrier(X1)
| element(X2,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ point_neighbourhood(X2,X1,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_102 ).
cnf(c_0_478,negated_conjecture,
( point_neighbourhood(esk1_4(esk49_0,X1,lim_points_of_net(esk49_0,esk50_0),esk51_0),esk49_0,esk51_0)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| empty_carrier(X1)
| lim_points_of_net(esk49_0,esk50_0) != lim_points_of_net(esk49_0,X1)
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_479,negated_conjecture,
( element(X1,powerset(the_carrier(esk49_0)))
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_476]),c_0_468]),c_0_469])]),c_0_472]) ).
cnf(c_0_480,negated_conjecture,
( point_neighbourhood(esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0),esk49_0,esk51_0)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_466]),c_0_467]),c_0_470])]),c_0_471]) ).
cnf(c_0_481,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_80 ).
cnf(c_0_482,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_90 ).
cnf(c_0_483,negated_conjecture,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| element(esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0),powerset(the_carrier(esk49_0))) ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_484,plain,
( open_subset(interior(X1,X2),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_189 ).
cnf(c_0_485,plain,
( in(X1,interior(X2,X3))
| empty_carrier(X2)
| ~ point_neighbourhood(X3,X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(csr,[status(thm)],[c_0_481,c_0_477]) ).
cnf(c_0_486,plain,
( in(X1,X2)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ in(X4,X1)
| ~ open_subset(X1,X3)
| ~ is_a_convergence_point_of_set(X3,X2,X4)
| ~ element(X1,powerset(the_carrier(X3))) ),
i_0_86 ).
cnf(c_0_487,plain,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| element(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),powerset(the_carrier(esk49_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_468])]) ).
cnf(c_0_488,plain,
( open_subset(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),esk49_0)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_483]),c_0_468]),c_0_469])]) ).
cnf(c_0_489,negated_conjecture,
( in(esk51_0,interior(esk49_0,X1))
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_476]),c_0_468]),c_0_469])]),c_0_472]) ).
cnf(c_0_490,plain,
( in(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),X1)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,X1,X2)
| ~ in(X2,interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_468]),c_0_469])]),c_0_488]) ).
cnf(c_0_491,negated_conjecture,
( in(esk51_0,interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)))
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(spm,[status(thm)],[c_0_489,c_0_480]) ).
cnf(c_0_492,negated_conjecture,
( in(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),X1)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,X1,esk51_0) ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_493,negated_conjecture,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
i_0_410 ).
cnf(c_0_494,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
i_0_99 ).
cnf(c_0_495,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ in(X3,filter_of_net_str(X2,X1)) ),
i_0_409 ).
cnf(c_0_496,negated_conjecture,
( in(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),filter_of_net_str(esk49_0,esk50_0))
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(spm,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_497,negated_conjecture,
one_sorted_str(esk49_0),
inference(spm,[status(thm)],[c_0_494,c_0_468]) ).
cnf(c_0_498,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ subset(X4,X3)
| ~ is_eventually_in(X2,X1,X4) ),
i_0_434 ).
cnf(c_0_499,plain,
( is_eventually_in(esk49_0,esk50_0,interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)))
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_466]),c_0_497])]),c_0_471]),c_0_472]) ).
cnf(c_0_500,plain,
( subset(interior(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_426 ).
cnf(c_0_501,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ in(X5,X4)
| ~ net_str(X1,X2)
| ~ point_neighbourhood(X3,X2,X5)
| ~ element(X5,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2))) ),
i_0_78 ).
cnf(c_0_502,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_427 ).
cnf(c_0_503,plain,
( is_eventually_in(esk49_0,esk50_0,X1)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ subset(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_466]),c_0_497])]),c_0_471]),c_0_472]) ).
cnf(c_0_504,plain,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| subset(interior(esk49_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)),esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_483]),c_0_468])]) ).
cnf(c_0_505,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,X2)
| ~ open_subset(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_428 ).
cnf(c_0_506,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| element(esk4_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1) ),
i_0_85 ).
cnf(c_0_507,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| open_subset(esk4_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
i_0_84 ).
cnf(c_0_508,plain,
( is_eventually_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| X4 != lim_points_of_net(X1,X2)
| ~ point_neighbourhood(X3,X1,X5)
| ~ in(X5,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ transitive_relstr(X2) ),
inference(csr,[status(thm)],[c_0_501,c_0_502]) ).
cnf(c_0_509,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,X4)
| X4 != lim_points_of_net(X2,X1)
| ~ transitive_relstr(X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,powerset(the_carrier(X2)))
| ~ is_eventually_in(X2,X1,esk1_4(X2,X1,X4,X3)) ),
i_0_76 ).
cnf(c_0_510,plain,
( is_eventually_in(esk49_0,esk50_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0))
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(spm,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_511,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ open_subset(X1,X2)
| ~ in(X3,X1)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(csr,[status(thm)],[c_0_505,c_0_502]) ).
cnf(c_0_512,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| element(esk4_3(esk49_0,X1,X2),powerset(the_carrier(esk49_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_468]),c_0_469])]) ).
cnf(c_0_513,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| open_subset(esk4_3(esk49_0,X1,X2),esk49_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_468]),c_0_469])]) ).
cnf(c_0_514,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| in(X3,esk4_3(X1,X2,X3))
| ~ topological_space(X1)
| ~ top_str(X1) ),
i_0_83 ).
cnf(c_0_515,negated_conjecture,
( is_eventually_in(esk49_0,X1,X2)
| empty_carrier(X1)
| lim_points_of_net(esk49_0,esk50_0) != lim_points_of_net(esk49_0,X1)
| ~ point_neighbourhood(X2,esk49_0,X3)
| ~ in(X3,lim_points_of_net(esk49_0,esk50_0))
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_474]),c_0_468]),c_0_469])]),c_0_472]) ).
cnf(c_0_516,plain,
in(esk51_0,lim_points_of_net(esk49_0,esk50_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_474]),c_0_476]),c_0_466]),c_0_467]),c_0_468]),c_0_469]),c_0_470])]),c_0_471]),c_0_472]) ).
cnf(c_0_517,plain,
( point_neighbourhood(esk4_3(esk49_0,X1,X2),esk49_0,X3)
| is_a_convergence_point_of_set(esk49_0,X1,X2)
| ~ in(X3,esk4_3(esk49_0,X1,X2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_468]),c_0_469])]),c_0_472]),c_0_513]) ).
cnf(c_0_518,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| in(X2,esk4_3(esk49_0,X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_468]),c_0_469])]) ).
cnf(c_0_519,negated_conjecture,
( is_eventually_in(esk49_0,X1,X2)
| empty_carrier(X1)
| lim_points_of_net(esk49_0,esk50_0) != lim_points_of_net(esk49_0,X1)
| ~ point_neighbourhood(X2,esk49_0,esk51_0)
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_520,negated_conjecture,
( point_neighbourhood(esk4_3(esk49_0,X1,X2),esk49_0,X2)
| is_a_convergence_point_of_set(esk49_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_517,c_0_518]) ).
cnf(c_0_521,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,filter_of_net_str(X2,X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_eventually_in(X2,X1,X3)
| ~ element(X3,powerset(the_carrier(X2))) ),
i_0_407 ).
cnf(c_0_522,negated_conjecture,
( is_eventually_in(esk49_0,X1,esk4_3(esk49_0,X2,esk51_0))
| is_a_convergence_point_of_set(esk49_0,X2,esk51_0)
| empty_carrier(X1)
| lim_points_of_net(esk49_0,esk50_0) != lim_points_of_net(esk49_0,X1)
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(spm,[status(thm)],[c_0_519,c_0_520]) ).
cnf(c_0_523,plain,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| in(esk4_3(esk49_0,X1,X2),filter_of_net_str(esk49_0,X3))
| empty_carrier(X3)
| ~ is_eventually_in(esk49_0,X3,esk4_3(esk49_0,X1,X2))
| ~ net_str(X3,esk49_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_512]),c_0_497])]),c_0_472]) ).
cnf(c_0_524,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,esk4_3(esk49_0,X1,esk51_0))
| is_a_convergence_point_of_set(esk49_0,X1,esk51_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_466]),c_0_467]),c_0_470])]),c_0_471]) ).
cnf(c_0_525,negated_conjecture,
( ~ in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
i_0_411 ).
cnf(c_0_526,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(esk4_3(X1,X2,X3),X2) ),
i_0_82 ).
cnf(c_0_527,plain,
( is_a_convergence_point_of_set(esk49_0,X1,esk51_0)
| in(esk4_3(esk49_0,X1,esk51_0),filter_of_net_str(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_466])]),c_0_471]) ).
cnf(c_0_528,negated_conjecture,
~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_525,c_0_516])]) ).
cnf(c_0_529,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_468]),c_0_469])]),c_0_528]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU392+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 06:11:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 25.57/4.65 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 25.57/4.65 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 25.57/4.65 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 56; version: 991; iters: 150)
% 25.57/4.65 # Preprocessing time : 0.779 s
% 25.57/4.65
% 25.57/4.65 # Proof found!
% 25.57/4.65 # SZS status Theorem
% 25.57/4.65 # SZS output start CNFRefutation
% See solution above
% 25.57/4.65 # Training examples: 0 positive, 0 negative
% 25.57/4.65
% 25.57/4.65 # -------------------------------------------------
% 25.57/4.65 # User time : 2.159 s
% 25.57/4.65 # System time : 0.109 s
% 25.57/4.65 # Total time : 2.268 s
% 25.57/4.65 # ...preprocessing : 0.779 s
% 25.57/4.65 # ...main loop : 1.488 s
% 25.57/4.65 # Maximum resident set size: 151872 pages
% 25.57/4.65
%------------------------------------------------------------------------------