TSTP Solution File: SEU257+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:40:09 EDT 2022

% Result   : Theorem 16.49s 3.62s
% Output   : CNFRefutation 16.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   42 (  10 unt;   0 nHn;  29 RR)
%            Number of literals    :  140 (   0 equ; 103 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   48 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_185,plain,
    ( well_ordering(X1)
    | ~ relation(X1)
    | ~ antisymmetric(X1)
    | ~ connected(X1)
    | ~ transitive(X1)
    | ~ well_founded_relation(X1)
    | ~ reflexive(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_185) ).

cnf(i_0_485,lemma,
    ( reflexive(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_485) ).

cnf(i_0_490,lemma,
    ( transitive(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ transitive(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_490) ).

cnf(i_0_493,lemma,
    ( antisymmetric(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ antisymmetric(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_493) ).

cnf(i_0_505,lemma,
    ( well_founded_relation(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ well_founded_relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_505) ).

cnf(i_0_488,lemma,
    ( connected(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ connected(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_488) ).

cnf(i_0_263,plain,
    ( relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_263) ).

cnf(i_0_187,plain,
    ( connected(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_187) ).

cnf(i_0_510,negated_conjecture,
    well_ordering(esk108_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_510) ).

cnf(i_0_511,negated_conjecture,
    relation(esk108_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_511) ).

cnf(i_0_186,plain,
    ( well_founded_relation(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_186) ).

cnf(i_0_509,negated_conjecture,
    ~ well_ordering(relation_restriction(esk108_0,esk107_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_509) ).

cnf(i_0_190,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_190) ).

cnf(i_0_189,plain,
    ( transitive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_189) ).

cnf(i_0_188,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4f1a6tg/input.p',i_0_188) ).

cnf(c_0_527,plain,
    ( well_ordering(X1)
    | ~ relation(X1)
    | ~ antisymmetric(X1)
    | ~ connected(X1)
    | ~ transitive(X1)
    | ~ well_founded_relation(X1)
    | ~ reflexive(X1) ),
    i_0_185 ).

cnf(c_0_528,lemma,
    ( reflexive(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ reflexive(X1) ),
    i_0_485 ).

cnf(c_0_529,lemma,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(relation_restriction(X1,X2))
    | ~ connected(relation_restriction(X1,X2))
    | ~ antisymmetric(relation_restriction(X1,X2))
    | ~ well_founded_relation(relation_restriction(X1,X2))
    | ~ relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_530,lemma,
    ( transitive(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ transitive(X1) ),
    i_0_490 ).

cnf(c_0_531,lemma,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(X1)
    | ~ connected(relation_restriction(X1,X2))
    | ~ antisymmetric(relation_restriction(X1,X2))
    | ~ well_founded_relation(relation_restriction(X1,X2))
    | ~ relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_532,lemma,
    ( antisymmetric(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ antisymmetric(X1) ),
    i_0_493 ).

cnf(c_0_533,lemma,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(X1)
    | ~ connected(relation_restriction(X1,X2))
    | ~ antisymmetric(X1)
    | ~ well_founded_relation(relation_restriction(X1,X2))
    | ~ relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_534,lemma,
    ( well_founded_relation(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ well_founded_relation(X1) ),
    i_0_505 ).

cnf(c_0_535,lemma,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(X1)
    | ~ connected(relation_restriction(X1,X2))
    | ~ antisymmetric(X1)
    | ~ well_founded_relation(X1)
    | ~ relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_536,lemma,
    ( connected(relation_restriction(X1,X2))
    | ~ relation(X1)
    | ~ connected(X1) ),
    i_0_488 ).

cnf(c_0_537,lemma,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(X1)
    | ~ connected(X1)
    | ~ antisymmetric(X1)
    | ~ well_founded_relation(X1)
    | ~ relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_538,plain,
    ( relation(relation_restriction(X1,X2))
    | ~ relation(X1) ),
    i_0_263 ).

cnf(c_0_539,plain,
    ( connected(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_187 ).

cnf(c_0_540,negated_conjecture,
    well_ordering(esk108_0),
    i_0_510 ).

cnf(c_0_541,negated_conjecture,
    relation(esk108_0),
    i_0_511 ).

cnf(c_0_542,plain,
    ( well_founded_relation(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_186 ).

cnf(c_0_543,negated_conjecture,
    ~ well_ordering(relation_restriction(esk108_0,esk107_0)),
    i_0_509 ).

cnf(c_0_544,plain,
    ( well_ordering(relation_restriction(X1,X2))
    | ~ reflexive(X1)
    | ~ transitive(X1)
    | ~ connected(X1)
    | ~ antisymmetric(X1)
    | ~ well_founded_relation(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_545,negated_conjecture,
    connected(esk108_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541])]) ).

cnf(c_0_546,negated_conjecture,
    well_founded_relation(esk108_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_540]),c_0_541])]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ reflexive(esk108_0)
    | ~ transitive(esk108_0)
    | ~ antisymmetric(esk108_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_545]),c_0_546]),c_0_541])]) ).

cnf(c_0_548,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_190 ).

cnf(c_0_549,plain,
    ( ~ transitive(esk108_0)
    | ~ antisymmetric(esk108_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_540]),c_0_541])]) ).

cnf(c_0_550,plain,
    ( transitive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_189 ).

cnf(c_0_551,plain,
    ~ antisymmetric(esk108_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_540]),c_0_541])]) ).

cnf(c_0_552,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_188 ).

cnf(c_0_553,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_540]),c_0_541])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 18:48:39 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.49/3.62  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.49/3.62  # 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: 29; version: 991; iters: 150)
% 16.49/3.62  # Preprocessing time       : 0.877 s
% 16.49/3.62  # Presaturation interreduction done
% 16.49/3.62  
% 16.49/3.62  # Proof found!
% 16.49/3.62  # SZS status Theorem
% 16.49/3.62  # SZS output start CNFRefutation
% See solution above
% 16.49/3.62  # Training examples: 0 positive, 0 negative
% 16.49/3.62  
% 16.49/3.62  # -------------------------------------------------
% 16.49/3.62  # User time                : 0.888 s
% 16.49/3.62  # System time              : 0.104 s
% 16.49/3.62  # Total time               : 0.992 s
% 16.49/3.62  # ...preprocessing         : 0.877 s
% 16.49/3.62  # ...main loop             : 0.115 s
% 16.49/3.62  # Maximum resident set size: 168240 pages
% 16.49/3.62  
%------------------------------------------------------------------------------