TSTP Solution File: NUM414+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:35:45 EDT 2022

% Result   : Theorem 7.95s 2.44s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  12 unt;   8 nHn;  22 RR)
%            Number of literals    :   43 (   4 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( ordinal_subset(X1,X2)
    | ordinal_subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_14) ).

cnf(i_0_85,negated_conjecture,
    ordinal(esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    ordinal(esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_86) ).

cnf(i_0_74,plain,
    ( subset(X1,X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ ordinal_subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_74) ).

cnf(i_0_15,plain,
    ( X1 = X2
    | proper_subset(X1,X2)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_15) ).

cnf(i_0_83,negated_conjecture,
    esk17_0 != esk16_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_83) ).

cnf(i_0_82,negated_conjecture,
    ~ proper_subset(esk17_0,esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_82) ).

cnf(i_0_84,negated_conjecture,
    ~ proper_subset(esk16_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2z867y6r/input.p',i_0_84) ).

cnf(c_0_95,plain,
    ( ordinal_subset(X1,X2)
    | ordinal_subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    i_0_14 ).

cnf(c_0_96,negated_conjecture,
    ordinal(esk17_0),
    i_0_85 ).

cnf(c_0_97,negated_conjecture,
    ( ordinal_subset(esk17_0,X1)
    | ordinal_subset(X1,esk17_0)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_98,negated_conjecture,
    ordinal(esk16_0),
    i_0_86 ).

cnf(c_0_99,plain,
    ( subset(X1,X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ ordinal_subset(X1,X2) ),
    i_0_74 ).

cnf(c_0_100,negated_conjecture,
    ( ordinal_subset(esk16_0,esk17_0)
    | ordinal_subset(esk17_0,esk16_0) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,plain,
    ( ordinal_subset(esk16_0,esk17_0)
    | subset(esk17_0,esk16_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_98]),c_0_96])]) ).

cnf(c_0_102,plain,
    ( X1 = X2
    | proper_subset(X1,X2)
    | ~ subset(X1,X2) ),
    i_0_15 ).

cnf(c_0_103,plain,
    ( subset(esk17_0,esk16_0)
    | subset(esk16_0,esk17_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_101]),c_0_96]),c_0_98])]) ).

cnf(c_0_104,negated_conjecture,
    esk17_0 != esk16_0,
    i_0_83 ).

cnf(c_0_105,negated_conjecture,
    ~ proper_subset(esk17_0,esk16_0),
    i_0_82 ).

cnf(c_0_106,plain,
    subset(esk16_0,esk17_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]) ).

cnf(c_0_107,negated_conjecture,
    ~ proper_subset(esk16_0,esk17_0),
    i_0_84 ).

cnf(c_0_108,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_106]),c_0_104]),c_0_107]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 18:45:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.95/2.44  # ENIGMATIC: Solved by autoschedule:
% 7.95/2.44  # No SInE strategy applied
% 7.95/2.44  # Trying AutoSched0 for 150 seconds
% 7.95/2.44  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y
% 7.95/2.44  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.95/2.44  #
% 7.95/2.44  # Preprocessing time       : 0.024 s
% 7.95/2.44  
% 7.95/2.44  # Proof found!
% 7.95/2.44  # SZS status Theorem
% 7.95/2.44  # SZS output start CNFRefutation
% See solution above
% 7.95/2.44  # Training examples: 0 positive, 0 negative
% 7.95/2.44  
% 7.95/2.44  # -------------------------------------------------
% 7.95/2.44  # User time                : 0.027 s
% 7.95/2.44  # System time              : 0.005 s
% 7.95/2.44  # Total time               : 0.032 s
% 7.95/2.44  # Maximum resident set size: 7124 pages
% 7.95/2.44  
%------------------------------------------------------------------------------