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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:40:39 EDT 2022

% Result   : Theorem 7.97s 2.31s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  12 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (  10 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_99,negated_conjecture,
    subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),esk7_0) != subset_complement(the_carrier(esk6_0),esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_99) ).

cnf(i_0_98,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_98) ).

cnf(i_0_101,negated_conjecture,
    one_sorted_str(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_101) ).

cnf(i_0_96,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_96) ).

cnf(i_0_69,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_69) ).

cnf(i_0_86,plain,
    ( subset_difference(X1,X2,X3) = set_difference(X2,X3)
    | ~ element(X3,powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_86) ).

cnf(i_0_100,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_100) ).

cnf(i_0_102,plain,
    ( subset_complement(X1,X2) = set_difference(X1,X2)
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6tj16td9/lgb.p',i_0_102) ).

cnf(c_0_111,negated_conjecture,
    subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),esk7_0) != subset_complement(the_carrier(esk6_0),esk7_0),
    i_0_99 ).

cnf(c_0_112,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    i_0_98 ).

cnf(c_0_113,negated_conjecture,
    one_sorted_str(esk6_0),
    i_0_101 ).

cnf(c_0_114,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    i_0_96 ).

cnf(c_0_115,plain,
    subset(X1,X1),
    i_0_69 ).

cnf(c_0_116,negated_conjecture,
    subset_difference(the_carrier(esk6_0),the_carrier(esk6_0),esk7_0) != subset_complement(the_carrier(esk6_0),esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).

cnf(c_0_117,plain,
    ( subset_difference(X1,X2,X3) = set_difference(X2,X3)
    | ~ element(X3,powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    i_0_86 ).

cnf(c_0_118,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    i_0_100 ).

cnf(c_0_119,plain,
    element(X1,powerset(X1)),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    set_difference(the_carrier(esk6_0),esk7_0) != subset_complement(the_carrier(esk6_0),esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119])]) ).

cnf(c_0_121,plain,
    ( subset_complement(X1,X2) = set_difference(X1,X2)
    | ~ element(X2,powerset(X1)) ),
    i_0_102 ).

cnf(c_0_122,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_118])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n013.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 : Sun Jun 19 01:32:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.97/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.97/2.31  # No SInE strategy applied
% 7.97/2.31  # Trying AutoSched0 for 150 seconds
% 7.97/2.31  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.97/2.31  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.97/2.31  #
% 7.97/2.31  # Preprocessing time       : 0.023 s
% 7.97/2.31  # Presaturation interreduction done
% 7.97/2.31  
% 7.97/2.31  # Proof found!
% 7.97/2.31  # SZS status Theorem
% 7.97/2.31  # SZS output start CNFRefutation
% See solution above
% 7.97/2.31  # Training examples: 0 positive, 0 negative
% 7.97/2.31  
% 7.97/2.31  # -------------------------------------------------
% 7.97/2.31  # User time                : 0.024 s
% 7.97/2.31  # System time              : 0.009 s
% 7.97/2.31  # Total time               : 0.034 s
% 7.97/2.31  # Maximum resident set size: 7124 pages
% 7.97/2.31  
%------------------------------------------------------------------------------