TSTP Solution File: SEU395+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 08:41:51 EDT 2022

% Result   : Theorem 7.70s 2.47s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   59 (  21 unt;  26 nHn;  59 RR)
%            Number of literals    :  265 (   2 equ; 158 neg)
%            Maximal clause size   :   15 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   68 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_439,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_439) ).

cnf(i_0_78,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/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_78) ).

cnf(i_0_420,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_convergence_point_of_set(X2,filter_of_net_str(X2,X1),X3)
    | ~ transitive_relstr(X1)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ directed_relstr(X1)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2))
    | ~ in(X3,lim_points_of_net(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_420) ).

cnf(i_0_421,plain,
    ( filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) = X2
    | empty_carrier(X1)
    | empty(X2)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
    | ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_421) ).

cnf(i_0_90,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_90) ).

cnf(i_0_419,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,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))
    | ~ is_a_convergence_point_of_set(X2,filter_of_net_str(X2,X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_419) ).

cnf(i_0_422,negated_conjecture,
    ( is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)
    | in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_422) ).

cnf(i_0_430,negated_conjecture,
    top_str(esk46_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_430) ).

cnf(i_0_431,negated_conjecture,
    topological_space(esk46_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_431) ).

cnf(i_0_426,negated_conjecture,
    proper_element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_426) ).

cnf(i_0_425,negated_conjecture,
    element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_425) ).

cnf(i_0_427,negated_conjecture,
    upper_relstr_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_427) ).

cnf(i_0_428,negated_conjecture,
    filtered_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_428) ).

cnf(i_0_429,negated_conjecture,
    ~ empty(esk47_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_429) ).

cnf(i_0_432,negated_conjecture,
    ~ empty_carrier(esk46_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_432) ).

cnf(i_0_423,negated_conjecture,
    ( ~ is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)
    | ~ in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_423) ).

cnf(i_0_424,negated_conjecture,
    element(esk48_0,the_carrier(esk46_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_424) ).

cnf(i_0_84,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | net_str(net_of_bool_filter(X1,X3,X2),X1)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_84) ).

cnf(i_0_182,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | directed_relstr(net_of_bool_filter(X1,X3,X2))
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
    | ~ proper_element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_182) ).

cnf(i_0_176,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | transitive_relstr(net_of_bool_filter(X1,X3,X2))
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_176) ).

cnf(i_0_86,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ empty_carrier(net_of_bool_filter(X1,X3,X2))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_86) ).

cnf(i_0_81,plain,
    ( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
    | ~ one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_81) ).

cnf(i_0_139,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(cast_as_carrier_subset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jtie92zn/lgb.p',i_0_139) ).

cnf(c_0_463,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_439 ).

cnf(c_0_464,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_78 ).

cnf(c_0_465,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_convergence_point_of_set(X2,filter_of_net_str(X2,X1),X3)
    | ~ transitive_relstr(X1)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ directed_relstr(X1)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2))
    | ~ in(X3,lim_points_of_net(X2,X1)) ),
    i_0_420 ).

cnf(c_0_466,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(X3,the_carrier(X1))
    | ~ net_str(X2,X1)
    | ~ directed_relstr(X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ transitive_relstr(X2)
    | ~ in(X3,lim_points_of_net(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_467,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_convergence_point_of_set(X2,filter_of_net_str(X2,X1),X3)
    | ~ net_str(X1,X2)
    | ~ directed_relstr(X1)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ transitive_relstr(X1)
    | ~ in(X3,lim_points_of_net(X2,X1)) ),
    inference(csr,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_468,plain,
    ( filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) = X2
    | empty_carrier(X1)
    | empty(X2)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
    | ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    i_0_421 ).

cnf(c_0_469,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    i_0_90 ).

cnf(c_0_470,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,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))
    | ~ is_a_convergence_point_of_set(X2,filter_of_net_str(X2,X1),X3) ),
    i_0_419 ).

cnf(c_0_471,plain,
    ( empty(X1)
    | empty_carrier(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | empty_carrier(X2)
    | is_a_convergence_point_of_set(X2,X1,X3)
    | ~ net_str(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1),X2)
    | ~ directed_relstr(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ transitive_relstr(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X2)))))
    | ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X2)))))
    | ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X2)))
    | ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X2)))
    | ~ in(X3,lim_points_of_net(X2,net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_469]) ).

cnf(c_0_472,negated_conjecture,
    ( is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)
    | in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))) ),
    i_0_422 ).

cnf(c_0_473,negated_conjecture,
    top_str(esk46_0),
    i_0_430 ).

cnf(c_0_474,negated_conjecture,
    topological_space(esk46_0),
    i_0_431 ).

cnf(c_0_475,negated_conjecture,
    proper_element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))),
    i_0_426 ).

cnf(c_0_476,negated_conjecture,
    element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))),
    i_0_425 ).

cnf(c_0_477,negated_conjecture,
    upper_relstr_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))),
    i_0_427 ).

cnf(c_0_478,negated_conjecture,
    filtered_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))),
    i_0_428 ).

cnf(c_0_479,negated_conjecture,
    ~ empty(esk47_0),
    i_0_429 ).

cnf(c_0_480,negated_conjecture,
    ~ empty_carrier(esk46_0),
    i_0_432 ).

cnf(c_0_481,negated_conjecture,
    ( ~ is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)
    | ~ in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))) ),
    i_0_423 ).

cnf(c_0_482,plain,
    ( empty(X1)
    | empty_carrier(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | empty_carrier(X2)
    | in(X3,lim_points_of_net(X2,net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1)))
    | ~ net_str(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1),X2)
    | ~ directed_relstr(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ transitive_relstr(net_of_bool_filter(X2,cast_as_carrier_subset(X2),X1))
    | ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X2)))))
    | ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X2)))))
    | ~ element(X3,the_carrier(X2))
    | ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X2)))
    | ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X2)))
    | ~ is_a_convergence_point_of_set(X2,X1,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_468]),c_0_469]) ).

cnf(c_0_483,negated_conjecture,
    element(esk48_0,the_carrier(esk46_0)),
    i_0_424 ).

cnf(c_0_484,negated_conjecture,
    ( empty_carrier(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)
    | ~ net_str(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0),esk46_0)
    | ~ directed_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ transitive_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_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_471,c_0_472]),c_0_473]),c_0_474]),c_0_475]),c_0_476]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]) ).

cnf(c_0_485,negated_conjecture,
    ( empty_carrier(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ net_str(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0),esk46_0)
    | ~ directed_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ transitive_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_473]),c_0_474]),c_0_475]),c_0_476]),c_0_483]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]),c_0_484]) ).

cnf(c_0_486,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | net_str(net_of_bool_filter(X1,X3,X2),X1)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    i_0_84 ).

cnf(c_0_487,negated_conjecture,
    one_sorted_str(esk46_0),
    inference(spm,[status(thm)],[c_0_469,c_0_473]) ).

cnf(c_0_488,plain,
    ( empty(cast_as_carrier_subset(esk46_0))
    | empty_carrier(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ directed_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ transitive_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ element(cast_as_carrier_subset(esk46_0),powerset(the_carrier(esk46_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_485,c_0_486]),c_0_487]),c_0_476]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]) ).

cnf(c_0_489,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | directed_relstr(net_of_bool_filter(X1,X3,X2))
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
    | ~ proper_element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    i_0_182 ).

cnf(c_0_490,plain,
    ( empty(cast_as_carrier_subset(esk46_0))
    | empty_carrier(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ transitive_relstr(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ element(cast_as_carrier_subset(esk46_0),powerset(the_carrier(esk46_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_488,c_0_489]),c_0_487]),c_0_475]),c_0_476]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]) ).

cnf(c_0_491,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | transitive_relstr(net_of_bool_filter(X1,X3,X2))
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    i_0_176 ).

cnf(c_0_492,plain,
    ( empty_carrier(X1)
    | empty(X2)
    | empty(X3)
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(X3))
    | ~ upper_relstr_subset(X2,boole_POSet(X3))
    | ~ empty_carrier(net_of_bool_filter(X1,X3,X2))
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X3)))) ),
    i_0_86 ).

cnf(c_0_493,plain,
    ( empty(cast_as_carrier_subset(esk46_0))
    | empty_carrier(net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))
    | ~ element(cast_as_carrier_subset(esk46_0),powerset(the_carrier(esk46_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_490,c_0_491]),c_0_487]),c_0_476]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]) ).

cnf(c_0_494,plain,
    ( empty(cast_as_carrier_subset(esk46_0))
    | ~ element(cast_as_carrier_subset(esk46_0),powerset(the_carrier(esk46_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_492,c_0_493]),c_0_487]),c_0_476]),c_0_477]),c_0_478])]),c_0_479]),c_0_480]) ).

cnf(c_0_495,plain,
    ( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
    | ~ one_sorted_str(X1) ),
    i_0_81 ).

cnf(c_0_496,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(cast_as_carrier_subset(X1)) ),
    i_0_139 ).

cnf(c_0_497,plain,
    empty(cast_as_carrier_subset(esk46_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_487])]) ).

cnf(c_0_498,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_497]),c_0_487])]),c_0_480]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 05:04:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.70/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.70/2.47  # No SInE strategy applied
% 7.70/2.47  # Trying AutoSched0 for 150 seconds
% 7.70/2.47  # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
% 7.70/2.47  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.70/2.47  #
% 7.70/2.47  # Preprocessing time       : 0.013 s
% 7.70/2.47  
% 7.70/2.47  # Proof found!
% 7.70/2.47  # SZS status Theorem
% 7.70/2.47  # SZS output start CNFRefutation
% See solution above
% 7.70/2.47  # Training examples: 0 positive, 0 negative
% 7.70/2.47  
% 7.70/2.47  # -------------------------------------------------
% 7.70/2.47  # User time                : 0.028 s
% 7.70/2.47  # System time              : 0.006 s
% 7.70/2.47  # Total time               : 0.034 s
% 7.70/2.47  # Maximum resident set size: 7124 pages
% 7.70/2.47  
%------------------------------------------------------------------------------