TSTP Solution File: SEU341+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 08:40:58 EDT 2022

% Result   : Theorem 7.28s 2.34s
% Output   : CNFRefutation 7.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   35 (  20 unt;   6 nHn;  35 RR)
%            Number of literals    :   89 (   4 equ;  52 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_48,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/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_48) ).

cnf(i_0_83,negated_conjecture,
    element(esk10_0,the_carrier(esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_83) ).

cnf(i_0_85,negated_conjecture,
    top_str(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    topological_space(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_86) ).

cnf(i_0_87,negated_conjecture,
    ~ empty_carrier(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_87) ).

cnf(i_0_53,plain,
    ( empty_carrier(X1)
    | point_neighbourhood(esk3_2(X1,X2),X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_53) ).

cnf(i_0_79,plain,
    ( interior(X1,X2) = X2
    | ~ topological_space(X3)
    | ~ top_str(X3)
    | ~ top_str(X1)
    | ~ open_subset(X2,X1)
    | ~ element(X4,powerset(the_carrier(X3)))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_79) ).

cnf(i_0_41,plain,
    ( empty_carrier(X1)
    | point_neighbourhood(X2,X1,X3)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ in(X3,interior(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_41) ).

cnf(i_0_84,negated_conjecture,
    element(esk9_0,powerset(the_carrier(esk8_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_84) ).

cnf(i_0_82,negated_conjecture,
    open_subset(esk9_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_82) ).

cnf(i_0_77,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_77) ).

cnf(i_0_81,negated_conjecture,
    in(esk10_0,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_81) ).

cnf(i_0_80,negated_conjecture,
    ~ point_neighbourhood(esk9_0,esk8_0,esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6s6igqs/input.p',i_0_80) ).

cnf(c_0_101,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_48 ).

cnf(c_0_102,negated_conjecture,
    element(esk10_0,the_carrier(esk8_0)),
    i_0_83 ).

cnf(c_0_103,negated_conjecture,
    top_str(esk8_0),
    i_0_85 ).

cnf(c_0_104,negated_conjecture,
    topological_space(esk8_0),
    i_0_86 ).

cnf(c_0_105,negated_conjecture,
    ~ empty_carrier(esk8_0),
    i_0_87 ).

cnf(c_0_106,plain,
    ( empty_carrier(X1)
    | point_neighbourhood(esk3_2(X1,X2),X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    i_0_53 ).

cnf(c_0_107,negated_conjecture,
    ( element(X1,powerset(the_carrier(esk8_0)))
    | ~ point_neighbourhood(X1,esk8_0,esk10_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_108,negated_conjecture,
    point_neighbourhood(esk3_2(esk8_0,esk10_0),esk8_0,esk10_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_109,plain,
    ( interior(X1,X2) = X2
    | ~ topological_space(X3)
    | ~ top_str(X3)
    | ~ top_str(X1)
    | ~ open_subset(X2,X1)
    | ~ element(X4,powerset(the_carrier(X3)))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_79 ).

cnf(c_0_110,negated_conjecture,
    element(esk3_2(esk8_0,esk10_0),powerset(the_carrier(esk8_0))),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,plain,
    ( empty_carrier(X1)
    | point_neighbourhood(X2,X1,X3)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ in(X3,interior(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_41 ).

cnf(c_0_112,negated_conjecture,
    element(esk9_0,powerset(the_carrier(esk8_0))),
    i_0_84 ).

cnf(c_0_113,plain,
    ( interior(X1,X2) = X2
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ open_subset(X2,X1)
    | ~ top_str(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_103]),c_0_104])]) ).

cnf(c_0_114,negated_conjecture,
    open_subset(esk9_0,esk8_0),
    i_0_82 ).

cnf(c_0_115,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_77 ).

cnf(c_0_116,negated_conjecture,
    ( point_neighbourhood(esk9_0,esk8_0,X1)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ in(X1,interior(esk8_0,esk9_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    interior(esk8_0,esk9_0) = esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_112]),c_0_114]),c_0_103])]) ).

cnf(c_0_118,negated_conjecture,
    ( element(X1,the_carrier(esk8_0))
    | ~ in(X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_112]) ).

cnf(c_0_119,negated_conjecture,
    ( point_neighbourhood(esk9_0,esk8_0,X1)
    | ~ in(X1,esk9_0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

cnf(c_0_120,negated_conjecture,
    in(esk10_0,esk9_0),
    i_0_81 ).

cnf(c_0_121,negated_conjecture,
    ~ point_neighbourhood(esk9_0,esk8_0,esk10_0),
    i_0_80 ).

cnf(c_0_122,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 : Sun Jun 19 10:49:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.28/2.34  # ENIGMATIC: Solved by autoschedule:
% 7.28/2.34  # No SInE strategy applied
% 7.28/2.34  # Trying AutoSched0 for 150 seconds
% 7.28/2.34  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.28/2.34  # and selection function SelectComplexG.
% 7.28/2.34  #
% 7.28/2.34  # Preprocessing time       : 0.023 s
% 7.28/2.34  
% 7.28/2.34  # Proof found!
% 7.28/2.34  # SZS status Theorem
% 7.28/2.34  # SZS output start CNFRefutation
% See solution above
% 7.28/2.34  # Training examples: 0 positive, 0 negative
% 7.28/2.34  
% 7.28/2.34  # -------------------------------------------------
% 7.28/2.34  # User time                : 0.036 s
% 7.28/2.34  # System time              : 0.004 s
% 7.28/2.34  # Total time               : 0.040 s
% 7.28/2.34  # Maximum resident set size: 7120 pages
% 7.28/2.34  
%------------------------------------------------------------------------------