TSTP Solution File: SEU204+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 08:39:30 EDT 2022

% Result   : Theorem 17.66s 3.67s
% Output   : CNFRefutation 17.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   7 unt;   3 nHn;  14 RR)
%            Number of literals    :   41 (   2 equ;  20 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   38 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_261,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_261) ).

cnf(i_0_4,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_4) ).

cnf(i_0_251,lemma,
    ( in(unordered_pair(unordered_pair(esk58_3(X1,X2,X3),X1),unordered_pair(esk58_3(X1,X2,X3),esk58_3(X1,X2,X3))),X3)
    | ~ relation(X3)
    | ~ in(X1,relation_image(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_251) ).

cnf(i_0_87,plain,
    ( subset(X1,X2)
    | in(esk30_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_87) ).

cnf(i_0_86,plain,
    ( subset(X1,X2)
    | ~ in(esk30_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_86) ).

cnf(i_0_253,negated_conjecture,
    ~ subset(relation_image(esk60_0,esk59_0),relation_rng(esk60_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_253) ).

cnf(i_0_254,negated_conjecture,
    relation(esk60_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ydst_kik/input.p',i_0_254) ).

cnf(c_0_269,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    i_0_261 ).

cnf(c_0_270,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_4 ).

cnf(c_0_271,lemma,
    ( in(unordered_pair(unordered_pair(esk58_3(X1,X2,X3),X1),unordered_pair(esk58_3(X1,X2,X3),esk58_3(X1,X2,X3))),X3)
    | ~ relation(X3)
    | ~ in(X1,relation_image(X3,X2)) ),
    i_0_251 ).

cnf(c_0_272,plain,
    ( in(X1,relation_rng(X2))
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_273,lemma,
    ( in(unordered_pair(unordered_pair(X1,esk58_3(X1,X2,X3)),unordered_pair(esk58_3(X1,X2,X3),esk58_3(X1,X2,X3))),X3)
    | ~ in(X1,relation_image(X3,X2))
    | ~ relation(X3) ),
    inference(rw,[status(thm)],[c_0_271,c_0_270]) ).

cnf(c_0_274,lemma,
    ( in(X1,relation_rng(X2))
    | ~ in(X1,relation_image(X2,X3))
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_275,plain,
    ( subset(X1,X2)
    | in(esk30_2(X1,X2),X1) ),
    i_0_87 ).

cnf(c_0_276,plain,
    ( subset(X1,X2)
    | ~ in(esk30_2(X1,X2),X2) ),
    i_0_86 ).

cnf(c_0_277,plain,
    ( in(esk30_2(relation_image(X1,X2),X3),relation_rng(X1))
    | subset(relation_image(X1,X2),X3)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_278,negated_conjecture,
    ~ subset(relation_image(esk60_0,esk59_0),relation_rng(esk60_0)),
    i_0_253 ).

cnf(c_0_279,plain,
    ( subset(relation_image(X1,X2),relation_rng(X1))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_280,negated_conjecture,
    relation(esk60_0),
    i_0_254 ).

cnf(c_0_281,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 12:04:16 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 17.66/3.67  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.66/3.67  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 17.66/3.67  # Preprocessing time       : 1.201 s
% 17.66/3.67  
% 17.66/3.67  # Proof found!
% 17.66/3.67  # SZS status Theorem
% 17.66/3.67  # SZS output start CNFRefutation
% See solution above
% 17.66/3.67  # Training examples: 0 positive, 0 negative
% 17.66/3.67  
% 17.66/3.67  # -------------------------------------------------
% 17.66/3.67  # User time                : 1.073 s
% 17.66/3.67  # System time              : 0.142 s
% 17.66/3.67  # Total time               : 1.215 s
% 17.66/3.67  # ...preprocessing         : 1.201 s
% 17.66/3.67  # ...main loop             : 0.014 s
% 17.66/3.67  # Maximum resident set size: 177260 pages
% 17.66/3.67  
%------------------------------------------------------------------------------