TSTP Solution File: SEU171+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU171+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 08:39:09 EDT 2022

% Result   : Theorem 7.59s 2.39s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (  14 unt;   6 nHn;  23 RR)
%            Number of literals    :   41 (   9 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( subset_complement(X1,X2) = set_difference(X1,X2)
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_12) ).

cnf(i_0_33,negated_conjecture,
    element(esk8_0,powerset(esk7_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_33) ).

cnf(i_0_5,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_5) ).

cnf(i_0_32,negated_conjecture,
    element(esk9_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_32) ).

cnf(i_0_30,negated_conjecture,
    ~ in(esk9_0,subset_complement(esk7_0,esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_30) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_9) ).

cnf(i_0_35,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_35) ).

cnf(i_0_34,negated_conjecture,
    esk7_0 != empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_34) ).

cnf(i_0_31,negated_conjecture,
    ~ in(esk9_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezy3akrr/input.p',i_0_31) ).

cnf(c_0_45,plain,
    ( subset_complement(X1,X2) = set_difference(X1,X2)
    | ~ element(X2,powerset(X1)) ),
    i_0_12 ).

cnf(c_0_46,negated_conjecture,
    element(esk8_0,powerset(esk7_0)),
    i_0_33 ).

cnf(c_0_47,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_5 ).

cnf(c_0_48,negated_conjecture,
    element(esk9_0,esk7_0),
    i_0_32 ).

cnf(c_0_49,negated_conjecture,
    ~ in(esk9_0,subset_complement(esk7_0,esk8_0)),
    i_0_30 ).

cnf(c_0_50,negated_conjecture,
    subset_complement(esk7_0,esk8_0) = set_difference(esk7_0,esk8_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_9 ).

cnf(c_0_52,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    i_0_35 ).

cnf(c_0_53,negated_conjecture,
    ( in(esk9_0,esk7_0)
    | empty(esk7_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    esk7_0 != empty_set,
    i_0_34 ).

cnf(c_0_55,negated_conjecture,
    ~ in(esk9_0,set_difference(esk7_0,esk8_0)),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_51]) ).

cnf(c_0_57,plain,
    in(esk9_0,esk7_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    ~ in(esk9_0,esk8_0),
    i_0_31 ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % 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 : Mon Jun 20 09:05:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 7.59/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.59/2.39  # No SInE strategy applied
% 7.59/2.39  # Trying AutoSched0 for 150 seconds
% 7.59/2.39  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CN
% 7.59/2.39  # and selection function SelectAntiRROptimalLit.
% 7.59/2.39  #
% 7.59/2.39  # Preprocessing time       : 0.024 s
% 7.59/2.39  # Presaturation interreduction done
% 7.59/2.39  
% 7.59/2.39  # Proof found!
% 7.59/2.39  # SZS status Theorem
% 7.59/2.39  # SZS output start CNFRefutation
% See solution above
% 7.59/2.39  # Training examples: 0 positive, 0 negative
% 7.59/2.39  
% 7.59/2.39  # -------------------------------------------------
% 7.59/2.39  # User time                : 0.024 s
% 7.59/2.39  # System time              : 0.009 s
% 7.59/2.39  # Total time               : 0.033 s
% 7.59/2.39  # Maximum resident set size: 7120 pages
% 7.59/2.39  
%------------------------------------------------------------------------------