TSTP Solution File: SEU386+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU386+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 08:41:46 EDT 2022

% Result   : Theorem 10.17s 3.78s
% Output   : CNFRefutation 10.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   45 (  26 unt;  15 nHn;  45 RR)
%            Number of literals    :  163 (   6 equ;  95 neg)
%            Maximal clause size   :   13 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   52 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_425,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,X3)
    | X4 != lim_points_of_net(X2,X1)
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ in(X5,X4)
    | ~ point_neighbourhood(X3,X2,X5)
    | ~ element(X5,the_carrier(X2))
    | ~ element(X4,powerset(the_carrier(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_425) ).

cnf(i_0_3570,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3570) ).

cnf(i_0_859,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_859) ).

cnf(i_0_3437,negated_conjecture,
    net_str(esk511_0,esk510_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3437) ).

cnf(i_0_3438,negated_conjecture,
    directed_relstr(esk511_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3438) ).

cnf(i_0_3439,negated_conjecture,
    transitive_relstr(esk511_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3439) ).

cnf(i_0_3442,negated_conjecture,
    topological_space(esk510_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3442) ).

cnf(i_0_3441,negated_conjecture,
    top_str(esk510_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3441) ).

cnf(i_0_3440,negated_conjecture,
    ~ empty_carrier(esk511_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3440) ).

cnf(i_0_3443,negated_conjecture,
    ~ empty_carrier(esk510_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3443) ).

cnf(i_0_842,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X2,X1,X3)
    | point_neighbourhood(esk145_3(X2,X1,X3),X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_842) ).

cnf(i_0_3436,negated_conjecture,
    element(esk512_0,the_carrier(esk510_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3436) ).

cnf(i_0_3435,negated_conjecture,
    in(esk512_0,lim_points_of_net(esk510_0,esk511_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3435) ).

cnf(i_0_3434,negated_conjecture,
    ~ is_a_cluster_point_of_netstr(esk510_0,esk511_0,esk512_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3434) ).

cnf(i_0_946,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_946) ).

cnf(i_0_3429,lemma,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X2,X1,X3)
    | ~ one_sorted_str(X2)
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_3429) ).

cnf(i_0_841,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X2,X1,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2))
    | ~ is_often_in(X2,X1,esk145_3(X2,X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1t_5muhv/lgb.p',i_0_841) ).

cnf(c_0_3588,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,X3)
    | X4 != lim_points_of_net(X2,X1)
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ in(X5,X4)
    | ~ point_neighbourhood(X3,X2,X5)
    | ~ element(X5,the_carrier(X2))
    | ~ element(X4,powerset(the_carrier(X2))) ),
    i_0_425 ).

cnf(c_0_3589,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_3570 ).

cnf(c_0_3590,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2) ),
    i_0_859 ).

cnf(c_0_3591,negated_conjecture,
    net_str(esk511_0,esk510_0),
    i_0_3437 ).

cnf(c_0_3592,negated_conjecture,
    directed_relstr(esk511_0),
    i_0_3438 ).

cnf(c_0_3593,negated_conjecture,
    transitive_relstr(esk511_0),
    i_0_3439 ).

cnf(c_0_3594,negated_conjecture,
    topological_space(esk510_0),
    i_0_3442 ).

cnf(c_0_3595,negated_conjecture,
    top_str(esk510_0),
    i_0_3441 ).

cnf(c_0_3596,negated_conjecture,
    ~ empty_carrier(esk511_0),
    i_0_3440 ).

cnf(c_0_3597,negated_conjecture,
    ~ empty_carrier(esk510_0),
    i_0_3443 ).

cnf(c_0_3598,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)
    | ~ directed_relstr(X2)
    | ~ transitive_relstr(X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X4,powerset(the_carrier(X1)))
    | ~ in(X5,X4) ),
    inference(csr,[status(thm)],[c_0_3588,c_0_3589]) ).

cnf(c_0_3599,negated_conjecture,
    element(lim_points_of_net(esk510_0,esk511_0),powerset(the_carrier(esk510_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_3590,c_0_3591]),c_0_3592]),c_0_3593]),c_0_3594]),c_0_3595])]),c_0_3596]),c_0_3597]) ).

cnf(c_0_3600,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X2,X1,X3)
    | point_neighbourhood(esk145_3(X2,X1,X3),X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2)) ),
    i_0_842 ).

cnf(c_0_3601,negated_conjecture,
    element(esk512_0,the_carrier(esk510_0)),
    i_0_3436 ).

cnf(c_0_3602,plain,
    ( is_eventually_in(esk510_0,X1,X2)
    | empty_carrier(X1)
    | lim_points_of_net(esk510_0,esk511_0) != lim_points_of_net(esk510_0,X1)
    | ~ point_neighbourhood(X2,esk510_0,X3)
    | ~ directed_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ net_str(X1,esk510_0)
    | ~ in(X3,lim_points_of_net(esk510_0,esk511_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3598,c_0_3599]),c_0_3594]),c_0_3595])]),c_0_3597]) ).

cnf(c_0_3603,negated_conjecture,
    in(esk512_0,lim_points_of_net(esk510_0,esk511_0)),
    i_0_3435 ).

cnf(c_0_3604,negated_conjecture,
    ( point_neighbourhood(esk145_3(esk510_0,X1,esk512_0),esk510_0,esk512_0)
    | empty_carrier(X1)
    | is_a_cluster_point_of_netstr(esk510_0,X1,esk512_0)
    | ~ net_str(X1,esk510_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3600,c_0_3601]),c_0_3594]),c_0_3595])]),c_0_3597]) ).

cnf(c_0_3605,negated_conjecture,
    ~ is_a_cluster_point_of_netstr(esk510_0,esk511_0,esk512_0),
    i_0_3434 ).

cnf(c_0_3606,negated_conjecture,
    ( is_eventually_in(esk510_0,X1,X2)
    | empty_carrier(X1)
    | lim_points_of_net(esk510_0,esk511_0) != lim_points_of_net(esk510_0,X1)
    | ~ point_neighbourhood(X2,esk510_0,esk512_0)
    | ~ directed_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ net_str(X1,esk510_0) ),
    inference(spm,[status(thm)],[c_0_3602,c_0_3603]) ).

cnf(c_0_3607,negated_conjecture,
    point_neighbourhood(esk145_3(esk510_0,esk511_0,esk512_0),esk510_0,esk512_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3604,c_0_3591]),c_0_3596]),c_0_3605]) ).

cnf(c_0_3608,negated_conjecture,
    ( is_eventually_in(esk510_0,X1,esk145_3(esk510_0,esk511_0,esk512_0))
    | empty_carrier(X1)
    | lim_points_of_net(esk510_0,esk511_0) != lim_points_of_net(esk510_0,X1)
    | ~ directed_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ net_str(X1,esk510_0) ),
    inference(spm,[status(thm)],[c_0_3606,c_0_3607]) ).

cnf(c_0_3609,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    i_0_946 ).

cnf(c_0_3610,lemma,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X2,X1,X3)
    | ~ one_sorted_str(X2)
    | ~ transitive_relstr(X1)
    | ~ directed_relstr(X1)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X3) ),
    i_0_3429 ).

cnf(c_0_3611,negated_conjecture,
    is_eventually_in(esk510_0,esk511_0,esk145_3(esk510_0,esk511_0,esk512_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3608,c_0_3591]),c_0_3592]),c_0_3593])]),c_0_3596]) ).

cnf(c_0_3612,negated_conjecture,
    one_sorted_str(esk510_0),
    inference(spm,[status(thm)],[c_0_3609,c_0_3595]) ).

cnf(c_0_3613,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X2,X1,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ net_str(X1,X2)
    | ~ element(X3,the_carrier(X2))
    | ~ is_often_in(X2,X1,esk145_3(X2,X1,X3)) ),
    i_0_841 ).

cnf(c_0_3614,lemma,
    is_often_in(esk510_0,esk511_0,esk145_3(esk510_0,esk511_0,esk512_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_3610,c_0_3611]),c_0_3612]),c_0_3592]),c_0_3593]),c_0_3591])]),c_0_3596]),c_0_3597]) ).

cnf(c_0_3615,plain,
    $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(spm,[status(thm)],[c_0_3613,c_0_3614]),c_0_3594]),c_0_3595]),c_0_3591]),c_0_3601])]),c_0_3596]),c_0_3597]),c_0_3605]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU386+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 10:14:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.52  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.52  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.52  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.17/3.78  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.17/3.78  # No SInE strategy applied
% 10.17/3.78  # Trying AutoSched0 for 150 seconds
% 10.17/3.78  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 10.17/3.78  # and selection function PSelectComplexExceptUniqMaxHorn.
% 10.17/3.78  #
% 10.17/3.78  # Preprocessing time       : 0.029 s
% 10.17/3.78  
% 10.17/3.78  # Proof found!
% 10.17/3.78  # SZS status Theorem
% 10.17/3.78  # SZS output start CNFRefutation
% See solution above
% 10.17/3.78  # Training examples: 0 positive, 0 negative
% 10.17/3.78  
% 10.17/3.78  # -------------------------------------------------
% 10.17/3.78  # User time                : 0.048 s
% 10.17/3.78  # System time              : 0.006 s
% 10.17/3.78  # Total time               : 0.054 s
% 10.17/3.78  # Maximum resident set size: 7268 pages
% 10.17/3.78  
%------------------------------------------------------------------------------