TSTP Solution File: SEU307+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:40:38 EDT 2022

% Result   : Theorem 8.63s 2.47s
% Output   : CNFRefutation 8.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (   9 unt;   0 nHn;  21 RR)
%            Number of literals    :   35 (  12 equ;  19 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    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_115,negated_conjecture,
    subset_intersection2(the_carrier(esk6_0),esk7_0,cast_as_carrier_subset(esk6_0)) != esk7_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_115) ).

cnf(i_0_103,plain,
    ( subset_intersection2(X1,X2,X3) = set_intersection2(X2,X3)
    | ~ element(X3,powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_103) ).

cnf(i_0_116,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_116) ).

cnf(i_0_105,plain,
    ( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
    | ~ one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_105) ).

cnf(i_0_117,negated_conjecture,
    one_sorted_str(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_117) ).

cnf(i_0_114,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_114) ).

cnf(i_0_118,plain,
    ( set_intersection2(X1,X2) = X1
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_118) ).

cnf(i_0_113,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xkygggm2/lgb.p',i_0_113) ).

cnf(c_0_127,negated_conjecture,
    subset_intersection2(the_carrier(esk6_0),esk7_0,cast_as_carrier_subset(esk6_0)) != esk7_0,
    i_0_115 ).

cnf(c_0_128,plain,
    ( subset_intersection2(X1,X2,X3) = set_intersection2(X2,X3)
    | ~ element(X3,powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    i_0_103 ).

cnf(c_0_129,negated_conjecture,
    element(esk7_0,powerset(the_carrier(esk6_0))),
    i_0_116 ).

cnf(c_0_130,negated_conjecture,
    ( set_intersection2(esk7_0,cast_as_carrier_subset(esk6_0)) != esk7_0
    | ~ element(cast_as_carrier_subset(esk6_0),powerset(the_carrier(esk6_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_131,plain,
    ( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
    | ~ one_sorted_str(X1) ),
    i_0_105 ).

cnf(c_0_132,negated_conjecture,
    one_sorted_str(esk6_0),
    i_0_117 ).

cnf(c_0_133,plain,
    set_intersection2(esk7_0,cast_as_carrier_subset(esk6_0)) != esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).

cnf(c_0_134,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    i_0_114 ).

cnf(c_0_135,plain,
    ( set_intersection2(X1,X2) = X1
    | ~ subset(X1,X2) ),
    i_0_118 ).

cnf(c_0_136,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_113 ).

cnf(c_0_137,plain,
    set_intersection2(esk7_0,the_carrier(esk6_0)) != esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_132])]) ).

cnf(c_0_138,plain,
    ( set_intersection2(X1,X2) = X1
    | ~ element(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_139,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_129])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 10:35:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 8.63/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.63/2.47  # No SInE strategy applied
% 8.63/2.47  # Trying AutoSched0 for 150 seconds
% 8.63/2.47  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.63/2.47  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.63/2.47  #
% 8.63/2.47  # Preprocessing time       : 0.023 s
% 8.63/2.47  # Presaturation interreduction done
% 8.63/2.47  
% 8.63/2.47  # Proof found!
% 8.63/2.47  # SZS status Theorem
% 8.63/2.47  # SZS output start CNFRefutation
% See solution above
% 8.63/2.47  # Training examples: 0 positive, 0 negative
% 8.63/2.47  
% 8.63/2.47  # -------------------------------------------------
% 8.63/2.47  # User time                : 0.025 s
% 8.63/2.47  # System time              : 0.008 s
% 8.63/2.47  # Total time               : 0.033 s
% 8.63/2.47  # Maximum resident set size: 7120 pages
% 8.63/2.47  
%------------------------------------------------------------------------------