TSTP Solution File: SET096+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 00:09:24 EDT 2022

% Result   : Theorem 8.34s 2.44s
% Output   : CNFRefutation 8.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  13 unt;   6 nHn;  23 RR)
%            Number of literals    :   47 (  15 equ;  21 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;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( X1 = X2
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_26) ).

cnf(i_0_84,negated_conjecture,
    subclass(esk8_0,unordered_pair(esk9_0,esk9_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_84) ).

cnf(i_0_82,negated_conjecture,
    unordered_pair(esk9_0,esk9_0) != esk8_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_82) ).

cnf(i_0_71,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_71) ).

cnf(i_0_70,plain,
    ( subclass(X1,X2)
    | member(esk6_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_70) ).

cnf(i_0_91,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_91) ).

cnf(i_0_69,plain,
    ( subclass(X1,X2)
    | ~ member(esk6_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_69) ).

cnf(i_0_60,plain,
    ( X1 = null_class
    | member(esk5_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_60) ).

cnf(i_0_83,negated_conjecture,
    null_class != esk8_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l83yap0l/lgb.p',i_0_83) ).

cnf(c_0_101,plain,
    ( X1 = X2
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    i_0_26 ).

cnf(c_0_102,negated_conjecture,
    subclass(esk8_0,unordered_pair(esk9_0,esk9_0)),
    i_0_84 ).

cnf(c_0_103,negated_conjecture,
    unordered_pair(esk9_0,esk9_0) != esk8_0,
    i_0_82 ).

cnf(c_0_104,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    i_0_71 ).

cnf(c_0_105,negated_conjecture,
    ~ subclass(unordered_pair(esk9_0,esk9_0),esk8_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_106,plain,
    ( subclass(X1,X2)
    | member(esk6_2(X1,X2),X1) ),
    i_0_70 ).

cnf(c_0_107,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_91 ).

cnf(c_0_108,negated_conjecture,
    ( member(X1,unordered_pair(esk9_0,esk9_0))
    | ~ member(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_102]) ).

cnf(c_0_109,plain,
    ( subclass(X1,X2)
    | ~ member(esk6_2(X1,X2),X2) ),
    i_0_69 ).

cnf(c_0_110,negated_conjecture,
    member(esk6_2(unordered_pair(esk9_0,esk9_0),esk8_0),unordered_pair(esk9_0,esk9_0)),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_111,negated_conjecture,
    ( X1 = esk9_0
    | ~ member(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,plain,
    ( X1 = null_class
    | member(esk5_1(X1),X1) ),
    i_0_60 ).

cnf(c_0_113,negated_conjecture,
    null_class != esk8_0,
    i_0_83 ).

cnf(c_0_114,negated_conjecture,
    ~ member(esk6_2(unordered_pair(esk9_0,esk9_0),esk8_0),esk8_0),
    inference(spm,[status(thm)],[c_0_105,c_0_109]) ).

cnf(c_0_115,plain,
    esk6_2(unordered_pair(esk9_0,esk9_0),esk8_0) = esk9_0,
    inference(spm,[status(thm)],[c_0_107,c_0_110]) ).

cnf(c_0_116,plain,
    esk5_1(esk8_0) = esk9_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

cnf(c_0_117,negated_conjecture,
    ~ member(esk9_0,esk8_0),
    inference(rw,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_118,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_116]),c_0_113]),c_0_117]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 03:23:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.34/2.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.34/2.44  # No SInE strategy applied
% 8.34/2.44  # Trying AutoSched0 for 150 seconds
% 8.34/2.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S043I
% 8.34/2.44  # and selection function PSelectMaxLComplexNoTypePred.
% 8.34/2.44  #
% 8.34/2.44  # Preprocessing time       : 0.024 s
% 8.34/2.44  # Presaturation interreduction done
% 8.34/2.44  
% 8.34/2.44  # Proof found!
% 8.34/2.44  # SZS status Theorem
% 8.34/2.44  # SZS output start CNFRefutation
% See solution above
% 8.34/2.44  # Training examples: 0 positive, 0 negative
% 8.34/2.44  
% 8.34/2.44  # -------------------------------------------------
% 8.34/2.44  # User time                : 0.027 s
% 8.34/2.44  # System time              : 0.006 s
% 8.34/2.44  # Total time               : 0.033 s
% 8.34/2.44  # Maximum resident set size: 7128 pages
% 8.34/2.44  
%------------------------------------------------------------------------------