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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 08:38:34 EDT 2022

% Result   : Theorem 7.54s 2.33s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (   7 unt;   3 nHn;  27 RR)
%            Number of literals    :   59 (  10 equ;  33 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_4) ).

cnf(i_0_11,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_11) ).

cnf(i_0_3,plain,
    ( X1 = empty_set
    | in(esk1_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_3) ).

cnf(i_0_26,negated_conjecture,
    ( in(esk8_0,set_intersection2(esk6_0,esk7_0))
    | ~ disjoint(esk6_0,esk7_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_26) ).

cnf(i_0_23,negated_conjecture,
    ( disjoint(esk6_0,esk7_0)
    | ~ in(X1,set_intersection2(esk6_0,esk7_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_23) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_9) ).

cnf(i_0_24,negated_conjecture,
    ( in(esk8_0,set_intersection2(esk6_0,esk7_0))
    | ~ in(X1,set_intersection2(esk6_0,esk7_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_24) ).

cnf(i_0_20,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_20) ).

cnf(i_0_10,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gdmorzhw/input.p',i_0_10) ).

cnf(c_0_36,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    i_0_4 ).

cnf(c_0_37,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    i_0_11 ).

cnf(c_0_38,plain,
    ( X1 = empty_set
    | in(esk1_1(X1),X1) ),
    i_0_3 ).

cnf(c_0_39,plain,
    ~ in(X1,empty_set),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( in(esk8_0,set_intersection2(esk6_0,esk7_0))
    | ~ disjoint(esk6_0,esk7_0) ),
    i_0_26 ).

cnf(c_0_41,plain,
    ( disjoint(X1,X2)
    | in(esk1_1(set_intersection2(X1,X2)),set_intersection2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( in(esk1_1(X1),X1)
    | ~ in(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( disjoint(esk6_0,esk7_0)
    | ~ in(X1,set_intersection2(esk6_0,esk7_0)) ),
    i_0_23 ).

cnf(c_0_44,negated_conjecture,
    in(esk1_1(set_intersection2(esk6_0,esk7_0)),set_intersection2(esk6_0,esk7_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_45,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    i_0_9 ).

cnf(c_0_46,negated_conjecture,
    ( in(esk8_0,set_intersection2(esk6_0,esk7_0))
    | ~ in(X1,set_intersection2(esk6_0,esk7_0)) ),
    i_0_24 ).

cnf(c_0_47,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X3,X2) ),
    i_0_20 ).

cnf(c_0_48,negated_conjecture,
    disjoint(esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    in(esk8_0,set_intersection2(esk6_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

cnf(c_0_51,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_52,lemma,
    ( ~ in(X1,esk6_0)
    | ~ in(X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,plain,
    in(esk8_0,esk7_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_51]) ).

cnf(c_0_55,plain,
    ~ in(esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_50]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 13:27:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.54/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.54/2.33  # No SInE strategy applied
% 7.54/2.33  # Trying AutoSched0 for 150 seconds
% 7.54/2.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S002A
% 7.54/2.33  # and selection function SelectNegativeLiterals.
% 7.54/2.33  #
% 7.54/2.33  # Preprocessing time       : 0.023 s
% 7.54/2.33  # Presaturation interreduction done
% 7.54/2.33  
% 7.54/2.33  # Proof found!
% 7.54/2.33  # SZS status Theorem
% 7.54/2.33  # SZS output start CNFRefutation
% See solution above
% 7.54/2.33  # Training examples: 0 positive, 0 negative
% 7.54/2.33  
% 7.54/2.33  # -------------------------------------------------
% 7.54/2.33  # User time                : 0.038 s
% 7.54/2.33  # System time              : 0.007 s
% 7.54/2.33  # Total time               : 0.045 s
% 7.54/2.33  # Maximum resident set size: 7124 pages
% 7.54/2.33  
%------------------------------------------------------------------------------