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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 08:35:44 EDT 2022

% Result   : Theorem 7.73s 2.42s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (   9 unt;   0 nHn;  25 RR)
%            Number of literals    :   61 (   0 equ;  36 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   37 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_79) ).

cnf(i_0_85,negated_conjecture,
    subset(esk17_0,esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_85) ).

cnf(i_0_14,plain,
    ( subset(relation_rng(X1),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ transfinite_sequence(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_14) ).

cnf(i_0_16,plain,
    ( function(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_16) ).

cnf(i_0_17,plain,
    ( relation(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_17) ).

cnf(i_0_15,plain,
    ( transfinite_sequence(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_15) ).

cnf(i_0_77,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_77) ).

cnf(i_0_13,plain,
    ( transfinite_sequence_of(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ transfinite_sequence(X1)
    | ~ subset(relation_rng(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_13) ).

cnf(i_0_83,negated_conjecture,
    ~ transfinite_sequence_of(esk19_0,esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_83) ).

cnf(i_0_84,negated_conjecture,
    transfinite_sequence_of(esk19_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lun048x_/lgb.p',i_0_84) ).

cnf(c_0_96,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    i_0_79 ).

cnf(c_0_97,negated_conjecture,
    subset(esk17_0,esk18_0),
    i_0_85 ).

cnf(c_0_98,negated_conjecture,
    ( subset(X1,esk18_0)
    | ~ subset(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_99,plain,
    ( subset(relation_rng(X1),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ transfinite_sequence(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    i_0_14 ).

cnf(c_0_100,plain,
    ( function(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    i_0_16 ).

cnf(c_0_101,plain,
    ( relation(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    i_0_17 ).

cnf(c_0_102,plain,
    ( transfinite_sequence(X1)
    | ~ transfinite_sequence_of(X1,X2) ),
    i_0_15 ).

cnf(c_0_103,plain,
    ( subset(X1,esk18_0)
    | ~ subset(X2,esk17_0)
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_98]) ).

cnf(c_0_104,plain,
    ( subset(relation_rng(X1),X2)
    | ~ transfinite_sequence_of(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102]) ).

cnf(c_0_105,plain,
    ( subset(X1,esk18_0)
    | ~ subset(X1,relation_rng(X2))
    | ~ transfinite_sequence_of(X2,esk17_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_106,plain,
    subset(X1,X1),
    i_0_77 ).

cnf(c_0_107,plain,
    ( transfinite_sequence_of(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ transfinite_sequence(X1)
    | ~ subset(relation_rng(X1),X2) ),
    i_0_13 ).

cnf(c_0_108,plain,
    ( subset(relation_rng(X1),esk18_0)
    | ~ transfinite_sequence_of(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    ~ transfinite_sequence_of(esk19_0,esk18_0),
    i_0_83 ).

cnf(c_0_110,plain,
    ( transfinite_sequence_of(X1,esk18_0)
    | ~ transfinite_sequence_of(X1,esk17_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_100]),c_0_101]),c_0_102]) ).

cnf(c_0_111,negated_conjecture,
    transfinite_sequence_of(esk19_0,esk17_0),
    i_0_84 ).

cnf(c_0_112,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul  5 05:25:46 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 7.73/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.73/2.42  # No SInE strategy applied
% 7.73/2.42  # Trying AutoSched0 for 150 seconds
% 7.73/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.73/2.42  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.73/2.42  #
% 7.73/2.42  # Preprocessing time       : 0.024 s
% 7.73/2.42  # Presaturation interreduction done
% 7.73/2.42  
% 7.73/2.42  # Proof found!
% 7.73/2.42  # SZS status Theorem
% 7.73/2.42  # SZS output start CNFRefutation
% See solution above
% 7.73/2.42  # Training examples: 0 positive, 0 negative
% 7.73/2.42  
% 7.73/2.42  # -------------------------------------------------
% 7.73/2.42  # User time                : 0.032 s
% 7.73/2.42  # System time              : 0.003 s
% 7.73/2.42  # Total time               : 0.035 s
% 7.73/2.42  # Maximum resident set size: 7128 pages
% 7.73/2.42  
%------------------------------------------------------------------------------