TSTP Solution File: SEU382+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:41:43 EDT 2022

% Result   : Theorem 7.64s 2.42s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   35 (  14 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   32 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,plain,
    ( X1 = X2
    | rel_str_of(X1,X3) != rel_str_of(X2,X4)
    | ~ relation_of2(X3,X1,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_193) ).

cnf(i_0_288,plain,
    ( relation_of2(X1,X2,X3)
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_288) ).

cnf(i_0_124,plain,
    ( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_124) ).

cnf(i_0_114,plain,
    rel_str(rel_str_of(X1,inclusion_order(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_114) ).

cnf(i_0_1,plain,
    ( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
    | ~ rel_str(X1)
    | ~ strict_rel_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_1) ).

cnf(i_0_155,plain,
    strict_rel_str(rel_str_of(X1,inclusion_order(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_155) ).

cnf(i_0_295,negated_conjecture,
    the_carrier(rel_str_of(powerset(esk22_0),inclusion_order(powerset(esk22_0)))) != powerset(esk22_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fn4csclw/lgb.p',i_0_295) ).

cnf(c_0_303,plain,
    ( X1 = X2
    | rel_str_of(X1,X3) != rel_str_of(X2,X4)
    | ~ relation_of2(X3,X1,X1) ),
    i_0_193 ).

cnf(c_0_304,plain,
    ( relation_of2(X1,X2,X3)
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    i_0_288 ).

cnf(c_0_305,plain,
    ( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
    | ~ rel_str(X1) ),
    i_0_124 ).

cnf(c_0_306,plain,
    rel_str(rel_str_of(X1,inclusion_order(X1))),
    i_0_114 ).

cnf(c_0_307,plain,
    ( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
    | ~ rel_str(X1)
    | ~ strict_rel_str(X1) ),
    i_0_1 ).

cnf(c_0_308,plain,
    strict_rel_str(rel_str_of(X1,inclusion_order(X1))),
    i_0_155 ).

cnf(c_0_309,plain,
    ( X1 = X2
    | rel_str_of(X1,X3) != rel_str_of(X2,X4)
    | ~ relation_of2_as_subset(X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_310,plain,
    relation_of2_as_subset(the_InternalRel(rel_str_of(X1,inclusion_order(X1))),the_carrier(rel_str_of(X1,inclusion_order(X1))),the_carrier(rel_str_of(X1,inclusion_order(X1)))),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_311,plain,
    rel_str_of(the_carrier(rel_str_of(X1,inclusion_order(X1))),the_InternalRel(rel_str_of(X1,inclusion_order(X1)))) = rel_str_of(X1,inclusion_order(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_306])]) ).

cnf(c_0_312,plain,
    ( the_carrier(rel_str_of(X1,inclusion_order(X1))) = X2
    | rel_str_of(X1,inclusion_order(X1)) != rel_str_of(X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]) ).

cnf(c_0_313,negated_conjecture,
    the_carrier(rel_str_of(powerset(esk22_0),inclusion_order(powerset(esk22_0)))) != powerset(esk22_0),
    i_0_295 ).

cnf(c_0_314,plain,
    the_carrier(rel_str_of(X1,inclusion_order(X1))) = X1,
    inference(er,[status(thm)],[c_0_312]) ).

cnf(c_0_315,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_314])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n014.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 : Sat Jun 18 21:31:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.64/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.64/2.42  # No SInE strategy applied
% 7.64/2.42  # Trying AutoSched0 for 150 seconds
% 7.64/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 7.64/2.42  # and selection function SelectComplexExceptUniqMaxPosHorn.
% 7.64/2.42  #
% 7.64/2.42  # Preprocessing time       : 0.019 s
% 7.64/2.42  # Presaturation interreduction done
% 7.64/2.42  
% 7.64/2.42  # Proof found!
% 7.64/2.42  # SZS status Theorem
% 7.64/2.42  # SZS output start CNFRefutation
% See solution above
% 7.64/2.42  # Training examples: 0 positive, 0 negative
% 7.64/2.42  
% 7.64/2.42  # -------------------------------------------------
% 7.64/2.42  # User time                : 0.021 s
% 7.64/2.42  # System time              : 0.005 s
% 7.64/2.42  # Total time               : 0.025 s
% 7.64/2.42  # Maximum resident set size: 7128 pages
% 7.64/2.42  
%------------------------------------------------------------------------------