TSTP Solution File: SEU234+2 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU234+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:39:54 EDT 2022

% Result   : Theorem 15.95s 3.53s
% Output   : CNFRefutation 15.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (   6 unt;  15 nHn;  29 RR)
%            Number of literals    :   78 (   9 equ;  26 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_127,plain,
    ( epsilon_connected(X1)
    | ~ in(esk37_1(X1),esk38_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_127) ).

cnf(i_0_412,lemma,
    ( X1 = X2
    | in(X2,X1)
    | in(X1,X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_412) ).

cnf(i_0_426,negated_conjecture,
    ( ordinal(X1)
    | ~ in(X1,esk85_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_426) ).

cnf(i_0_129,plain,
    ( epsilon_connected(X1)
    | in(esk37_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_129) ).

cnf(i_0_425,negated_conjecture,
    ( subset(X1,esk85_0)
    | ~ in(X1,esk85_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_425) ).

cnf(i_0_95,plain,
    ( epsilon_transitive(X1)
    | in(esk27_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_95) ).

cnf(i_0_128,plain,
    ( epsilon_connected(X1)
    | in(esk38_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_128) ).

cnf(i_0_94,plain,
    ( epsilon_transitive(X1)
    | ~ subset(esk27_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_94) ).

cnf(i_0_10,plain,
    ( ordinal(X1)
    | ~ epsilon_transitive(X1)
    | ~ epsilon_connected(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_10) ).

cnf(i_0_424,negated_conjecture,
    ~ ordinal(esk85_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_424) ).

cnf(i_0_125,plain,
    ( epsilon_connected(X1)
    | ~ in(esk38_1(X1),esk37_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_125) ).

cnf(i_0_126,plain,
    ( epsilon_connected(X1)
    | esk38_1(X1) != esk37_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-opkf5qrb/input.p',i_0_126) ).

cnf(c_0_439,plain,
    ( epsilon_connected(X1)
    | ~ in(esk37_1(X1),esk38_1(X1)) ),
    i_0_127 ).

cnf(c_0_440,lemma,
    ( X1 = X2
    | in(X2,X1)
    | in(X1,X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    i_0_412 ).

cnf(c_0_441,negated_conjecture,
    ( ordinal(X1)
    | ~ in(X1,esk85_0) ),
    i_0_426 ).

cnf(c_0_442,plain,
    ( epsilon_connected(X1)
    | in(esk37_1(X1),X1) ),
    i_0_129 ).

cnf(c_0_443,negated_conjecture,
    ( subset(X1,esk85_0)
    | ~ in(X1,esk85_0) ),
    i_0_425 ).

cnf(c_0_444,plain,
    ( epsilon_transitive(X1)
    | in(esk27_1(X1),X1) ),
    i_0_95 ).

cnf(c_0_445,lemma,
    ( esk37_1(X1) = esk38_1(X1)
    | in(esk38_1(X1),esk37_1(X1))
    | epsilon_connected(X1)
    | ~ ordinal(esk37_1(X1))
    | ~ ordinal(esk38_1(X1)) ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_446,negated_conjecture,
    ( epsilon_connected(esk85_0)
    | ordinal(esk37_1(esk85_0)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_447,plain,
    ( epsilon_connected(X1)
    | in(esk38_1(X1),X1) ),
    i_0_128 ).

cnf(c_0_448,plain,
    ( epsilon_transitive(X1)
    | ~ subset(esk27_1(X1),X1) ),
    i_0_94 ).

cnf(c_0_449,plain,
    ( subset(esk27_1(esk85_0),esk85_0)
    | epsilon_transitive(esk85_0) ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_450,negated_conjecture,
    ( esk37_1(esk85_0) = esk38_1(esk85_0)
    | in(esk38_1(esk85_0),esk37_1(esk85_0))
    | epsilon_connected(esk85_0)
    | ~ ordinal(esk38_1(esk85_0)) ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_451,negated_conjecture,
    ( epsilon_connected(esk85_0)
    | ordinal(esk38_1(esk85_0)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_447]) ).

cnf(c_0_452,plain,
    ( ordinal(X1)
    | ~ epsilon_transitive(X1)
    | ~ epsilon_connected(X1) ),
    i_0_10 ).

cnf(c_0_453,plain,
    epsilon_transitive(esk85_0),
    inference(spm,[status(thm)],[c_0_448,c_0_449]) ).

cnf(c_0_454,negated_conjecture,
    ~ ordinal(esk85_0),
    i_0_424 ).

cnf(c_0_455,negated_conjecture,
    ( esk37_1(esk85_0) = esk38_1(esk85_0)
    | in(esk38_1(esk85_0),esk37_1(esk85_0))
    | epsilon_connected(esk85_0) ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_456,plain,
    ~ epsilon_connected(esk85_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]) ).

cnf(c_0_457,plain,
    ( epsilon_connected(X1)
    | ~ in(esk38_1(X1),esk37_1(X1)) ),
    i_0_125 ).

cnf(c_0_458,negated_conjecture,
    ( esk37_1(esk85_0) = esk38_1(esk85_0)
    | in(esk38_1(esk85_0),esk37_1(esk85_0)) ),
    inference(sr,[status(thm)],[c_0_455,c_0_456]) ).

cnf(c_0_459,plain,
    ( epsilon_connected(X1)
    | esk38_1(X1) != esk37_1(X1) ),
    i_0_126 ).

cnf(c_0_460,plain,
    esk37_1(esk85_0) = esk38_1(esk85_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_456]) ).

cnf(c_0_461,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_456]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU234+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12  % 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 : Sun Jun 19 20:13:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 15.95/3.53  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.95/3.53  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 41; version: 991; iters: 150)
% 15.95/3.53  # Preprocessing time       : 0.883 s
% 15.95/3.53  # Presaturation interreduction done
% 15.95/3.53  
% 15.95/3.53  # Proof found!
% 15.95/3.53  # SZS status Theorem
% 15.95/3.53  # SZS output start CNFRefutation
% See solution above
% 15.95/3.53  # Training examples: 0 positive, 0 negative
% 15.95/3.53  
% 15.95/3.53  # -------------------------------------------------
% 15.95/3.53  # User time                : 0.866 s
% 15.95/3.53  # System time              : 0.113 s
% 15.95/3.53  # Total time               : 0.979 s
% 15.95/3.53  # ...preprocessing         : 0.883 s
% 15.95/3.53  # ...main loop             : 0.095 s
% 15.95/3.53  # Maximum resident set size: 168980 pages
% 15.95/3.53  
%------------------------------------------------------------------------------