TSTP Solution File: SEU323+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 08:40:48 EDT 2022

% Result   : Theorem 7.81s 2.44s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  11 unt;   0 nHn;  23 RR)
%            Number of literals    :   51 (   4 equ;  31 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_23) ).

cnf(i_0_26,negated_conjecture,
    top_str(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_26) ).

cnf(i_0_1,plain,
    ( open_subset(subset_complement(the_carrier(X1),X2),X1)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_1) ).

cnf(i_0_10,plain,
    ( closed_subset(topstr_closure(X1,X2),X1)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_10) ).

cnf(i_0_8,plain,
    ( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_8) ).

cnf(i_0_25,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_25) ).

cnf(i_0_27,negated_conjecture,
    topological_space(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_27) ).

cnf(i_0_24,negated_conjecture,
    ~ open_subset(interior(esk6_0,esk7_0),esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_24) ).

cnf(i_0_7,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k7hrs5s_/input.p',i_0_7) ).

cnf(c_0_37,plain,
    ( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_23 ).

cnf(c_0_38,negated_conjecture,
    top_str(esk6_0),
    i_0_26 ).

cnf(c_0_39,plain,
    ( open_subset(subset_complement(the_carrier(X1),X2),X1)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1 ).

cnf(c_0_40,plain,
    ( closed_subset(topstr_closure(X1,X2),X1)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_10 ).

cnf(c_0_41,plain,
    ( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_8 ).

cnf(c_0_42,negated_conjecture,
    ( subset_complement(the_carrier(esk6_0),topstr_closure(esk6_0,subset_complement(the_carrier(esk6_0),X1))) = interior(esk6_0,X1)
    | ~ element(X1,powerset(the_carrier(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    i_0_25 ).

cnf(c_0_44,plain,
    ( open_subset(subset_complement(the_carrier(X1),topstr_closure(X1,X2)),X1)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    subset_complement(the_carrier(esk6_0),topstr_closure(esk6_0,subset_complement(the_carrier(esk6_0),esk7_0))) = interior(esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    topological_space(esk6_0),
    i_0_27 ).

cnf(c_0_47,negated_conjecture,
    ~ open_subset(interior(esk6_0,esk7_0),esk6_0),
    i_0_24 ).

cnf(c_0_48,negated_conjecture,
    ~ element(subset_complement(the_carrier(esk6_0),esk7_0),powerset(the_carrier(esk6_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]),c_0_46])]),c_0_47]) ).

cnf(c_0_49,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    i_0_7 ).

cnf(c_0_50,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 12:42:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.81/2.44  # ENIGMATIC: Solved by autoschedule:
% 7.81/2.44  # No SInE strategy applied
% 7.81/2.44  # Trying AutoSched0 for 150 seconds
% 7.81/2.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02AI
% 7.81/2.44  # and selection function SelectNonStrongRROptimalLit.
% 7.81/2.44  #
% 7.81/2.44  # Preprocessing time       : 0.012 s
% 7.81/2.44  # Presaturation interreduction done
% 7.81/2.44  
% 7.81/2.44  # Proof found!
% 7.81/2.44  # SZS status Theorem
% 7.81/2.44  # SZS output start CNFRefutation
% See solution above
% 7.81/2.44  # Training examples: 0 positive, 0 negative
% 7.81/2.44  
% 7.81/2.44  # -------------------------------------------------
% 7.81/2.44  # User time                : 0.018 s
% 7.81/2.44  # System time              : 0.002 s
% 7.81/2.44  # Total time               : 0.020 s
% 7.81/2.44  # Maximum resident set size: 7120 pages
% 7.81/2.44  
%------------------------------------------------------------------------------