TSTP Solution File: SET104+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET104+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 00:09:32 EDT 2022

% Result   : Theorem 18.58s 3.82s
% Output   : CNFRefutation 18.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   44 (  11 unt;  21 nHn;  21 RR)
%            Number of literals    :   96 (  32 equ;  34 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   77 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_73,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_73) ).

cnf(i_0_4,plain,
    subclass(X1,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_4) ).

cnf(i_0_90,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_90) ).

cnf(i_0_72,plain,
    ( subclass(X1,X2)
    | member(esk8_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_72) ).

cnf(i_0_71,plain,
    ( subclass(X1,X2)
    | ~ member(esk8_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_71) ).

cnf(i_0_62,plain,
    ( X1 = null_class
    | member(esk7_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_62) ).

cnf(i_0_26,plain,
    ( X1 = X2
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_26) ).

cnf(i_0_88,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_88) ).

cnf(i_0_63,plain,
    ( X1 = null_class
    | member(esk7_1(X1),universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_63) ).

cnf(i_0_58,negated_conjecture,
    ~ member(esk5_0,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_58) ).

cnf(i_0_59,negated_conjecture,
    unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))) != unordered_pair(null_class,unordered_pair(unordered_pair(esk6_0,esk6_0),unordered_pair(esk6_0,esk6_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_59) ).

cnf(i_0_87,plain,
    member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6mjfx006/input.p',i_0_87) ).

cnf(c_0_103,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    i_0_73 ).

cnf(c_0_104,plain,
    subclass(X1,universal_class),
    i_0_4 ).

cnf(c_0_105,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_90 ).

cnf(c_0_106,plain,
    ( subclass(X1,X2)
    | member(esk8_2(X1,X2),X1) ),
    i_0_72 ).

cnf(c_0_107,plain,
    ( member(X1,universal_class)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_108,plain,
    ( subclass(X1,X2)
    | ~ member(esk8_2(X1,X2),X2) ),
    i_0_71 ).

cnf(c_0_109,plain,
    ( esk8_2(unordered_pair(X1,X2),X3) = X1
    | esk8_2(unordered_pair(X1,X2),X3) = X2
    | subclass(unordered_pair(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ( subclass(X1,X2)
    | member(esk8_2(X1,X2),universal_class) ),
    inference(spm,[status(thm)],[c_0_107,c_0_106]) ).

cnf(c_0_111,plain,
    ( esk8_2(unordered_pair(X1,X2),X3) = X1
    | subclass(unordered_pair(X1,X2),X3)
    | ~ member(X2,X3) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_112,plain,
    ( X1 = null_class
    | member(esk7_1(X1),X1) ),
    i_0_62 ).

cnf(c_0_113,plain,
    ( X1 = X2
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    i_0_26 ).

cnf(c_0_114,plain,
    ( subclass(unordered_pair(X1,X2),X3)
    | member(X1,universal_class)
    | ~ member(X2,X3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_115,plain,
    ( esk8_2(unordered_pair(X1,X1),X2) = X1
    | subclass(unordered_pair(X1,X1),X2) ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_109])]) ).

cnf(c_0_116,plain,
    ( esk7_1(unordered_pair(X1,X2)) = X1
    | esk7_1(unordered_pair(X1,X2)) = X2
    | unordered_pair(X1,X2) = null_class ),
    inference(spm,[status(thm)],[c_0_105,c_0_112]) ).

cnf(c_0_117,plain,
    ( X1 = unordered_pair(X2,X3)
    | member(X2,universal_class)
    | ~ subclass(X1,unordered_pair(X2,X3))
    | ~ member(X3,X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_118,plain,
    ( subclass(unordered_pair(X1,X1),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_115]) ).

cnf(c_0_119,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    i_0_88 ).

cnf(c_0_120,plain,
    ( X1 = null_class
    | member(esk7_1(X1),universal_class) ),
    i_0_63 ).

cnf(c_0_121,plain,
    ( esk7_1(unordered_pair(X1,X1)) = X1
    | unordered_pair(X1,X1) = null_class ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_116])]) ).

cnf(c_0_122,plain,
    ( unordered_pair(X1,X1) = unordered_pair(X2,X3)
    | member(X2,universal_class)
    | ~ member(X3,unordered_pair(X1,X1))
    | ~ member(X1,unordered_pair(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_123,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_119]) ).

cnf(c_0_124,negated_conjecture,
    ~ member(esk5_0,universal_class),
    i_0_58 ).

cnf(c_0_125,plain,
    ( unordered_pair(X1,X1) = null_class
    | member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_126,plain,
    ( unordered_pair(X1,X1) = unordered_pair(X2,X1)
    | member(X2,universal_class)
    | ~ member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_127,negated_conjecture,
    unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))) != unordered_pair(null_class,unordered_pair(unordered_pair(esk6_0,esk6_0),unordered_pair(esk6_0,esk6_0))),
    i_0_59 ).

cnf(c_0_128,negated_conjecture,
    unordered_pair(esk5_0,esk5_0) = null_class,
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,plain,
    ( unordered_pair(X1,X1) = unordered_pair(X2,X1)
    | member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_126,c_0_123]) ).

cnf(c_0_130,plain,
    member(unordered_pair(X1,X2),universal_class),
    i_0_87 ).

cnf(c_0_131,negated_conjecture,
    unordered_pair(null_class,unordered_pair(unordered_pair(esk6_0,esk6_0),unordered_pair(esk6_0,esk6_0))) != unordered_pair(null_class,unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))),
    inference(rw,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_132,plain,
    ( unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) = unordered_pair(X3,unordered_pair(X1,X2))
    | member(X3,universal_class) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,negated_conjecture,
    ( member(X1,universal_class)
    | unordered_pair(null_class,unordered_pair(X1,unordered_pair(esk6_0,esk6_0))) != unordered_pair(null_class,unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_134,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_133]),c_0_124]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET104+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 16:35:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/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
% 18.58/3.82  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.58/3.82  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 18.58/3.82  # Preprocessing time       : 1.180 s
% 18.58/3.82  # Presaturation interreduction done
% 18.58/3.82  
% 18.58/3.82  # Proof found!
% 18.58/3.82  # SZS status Theorem
% 18.58/3.82  # SZS output start CNFRefutation
% See solution above
% 18.58/3.82  # Training examples: 0 positive, 0 negative
% 18.58/3.82  
% 18.58/3.82  # -------------------------------------------------
% 18.58/3.82  # User time                : 1.133 s
% 18.58/3.82  # System time              : 0.142 s
% 18.58/3.82  # Total time               : 1.275 s
% 18.58/3.82  # ...preprocessing         : 1.180 s
% 18.58/3.82  # ...main loop             : 0.095 s
% 18.58/3.82  # Maximum resident set size: 188440 pages
% 18.58/3.82  
%------------------------------------------------------------------------------