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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 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 00:13:23 EDT 2022

% Result   : Theorem 8.01s 2.47s
% Output   : CNFRefutation 8.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   23 (  10 unt;   0 nHn;  21 RR)
%            Number of literals    :   54 (  14 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   28 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( domain(X1,X2,X3) = X1
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ subset(identity_relation_of(X1),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_2) ).

cnf(i_0_64,plain,
    ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_64) ).

cnf(i_0_10,plain,
    ( ilf_type(X1,relation_type(X2,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,identity_relation_of_type(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_10) ).

cnf(i_0_66,negated_conjecture,
    subset(identity_relation_of(esk14_0),esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_66) ).

cnf(i_0_67,negated_conjecture,
    ilf_type(esk15_0,identity_relation_of_type(esk14_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_67) ).

cnf(i_0_3,plain,
    ( range(X1,X2,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_3) ).

cnf(i_0_65,negated_conjecture,
    ( domain(esk14_0,esk14_0,esk15_0) != esk14_0
    | range(esk14_0,esk14_0,esk15_0) != esk14_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e6dj_wy8/lgb.p',i_0_65) ).

cnf(c_0_75,plain,
    ( domain(X1,X2,X3) = X1
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ subset(identity_relation_of(X1),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    i_0_2 ).

cnf(c_0_76,plain,
    ilf_type(X1,set_type),
    i_0_64 ).

cnf(c_0_77,plain,
    ( ilf_type(X1,relation_type(X2,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,identity_relation_of_type(X2)) ),
    i_0_10 ).

cnf(c_0_78,plain,
    ( domain(X1,X2,X3) = X1
    | ~ subset(identity_relation_of(X1),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76])]) ).

cnf(c_0_79,negated_conjecture,
    subset(identity_relation_of(esk14_0),esk15_0),
    i_0_66 ).

cnf(c_0_80,plain,
    ( ilf_type(X1,relation_type(X2,X2))
    | ~ ilf_type(X1,identity_relation_of_type(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_76]),c_0_76])]) ).

cnf(c_0_81,negated_conjecture,
    ilf_type(esk15_0,identity_relation_of_type(esk14_0)),
    i_0_67 ).

cnf(c_0_82,plain,
    ( range(X1,X2,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    i_0_3 ).

cnf(c_0_83,negated_conjecture,
    ( domain(esk14_0,X1,esk15_0) = esk14_0
    | ~ ilf_type(esk15_0,relation_type(esk14_0,X1)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ilf_type(esk15_0,relation_type(esk14_0,esk14_0)),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    ( range(X1,X2,X3) = X2
    | ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_76]),c_0_76])]) ).

cnf(c_0_86,negated_conjecture,
    ( domain(esk14_0,esk14_0,esk15_0) != esk14_0
    | range(esk14_0,esk14_0,esk15_0) != esk14_0 ),
    i_0_65 ).

cnf(c_0_87,negated_conjecture,
    domain(esk14_0,esk14_0,esk15_0) = esk14_0,
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( range(X1,esk14_0,esk15_0) = esk14_0
    | ~ ilf_type(esk15_0,relation_type(X1,esk14_0)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_79]) ).

cnf(c_0_89,negated_conjecture,
    range(esk14_0,esk14_0,esk15_0) != esk14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).

cnf(c_0_90,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_84]),c_0_89]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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 Jul 10 01:23:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.01/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.01/2.47  # No SInE strategy applied
% 8.01/2.47  # Trying AutoSched0 for 150 seconds
% 8.01/2.47  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.01/2.47  # and selection function SelectNewComplexAHPNS.
% 8.01/2.47  #
% 8.01/2.47  # Preprocessing time       : 0.023 s
% 8.01/2.47  
% 8.01/2.47  # Proof found!
% 8.01/2.47  # SZS status Theorem
% 8.01/2.47  # SZS output start CNFRefutation
% See solution above
% 8.01/2.47  # Training examples: 0 positive, 0 negative
% 8.01/2.47  
% 8.01/2.47  # -------------------------------------------------
% 8.01/2.47  # User time                : 0.025 s
% 8.01/2.47  # System time              : 0.004 s
% 8.01/2.47  # Total time               : 0.030 s
% 8.01/2.47  # Maximum resident set size: 7120 pages
% 8.01/2.47  
%------------------------------------------------------------------------------