TSTP Solution File: SEU268+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU268+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 08:40:15 EDT 2022

% Result   : Theorem 34.61s 5.95s
% Output   : CNFRefutation 34.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   9 unt;   3 nHn;  13 RR)
%            Number of literals    :   47 (   7 equ;  26 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   27 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
    | X3 != inclusion_relation(X4)
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_106) ).

cnf(i_0_287,plain,
    relation(inclusion_relation(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_287) ).

cnf(i_0_108,plain,
    ( relation_field(X1) = X2
    | X1 != inclusion_relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_108) ).

cnf(i_0_370,lemma,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk88_1(X1),esk88_1(X1)),unordered_pair(esk88_1(X1),esk88_1(X1))),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_370) ).

cnf(i_0_457,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_457) ).

cnf(i_0_371,lemma,
    ( reflexive(X1)
    | in(esk88_1(X1),relation_field(X1))
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_371) ).

cnf(i_0_547,negated_conjecture,
    ~ reflexive(inclusion_relation(esk119_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dwpox3y6/input.p',i_0_547) ).

cnf(c_0_555,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
    | X3 != inclusion_relation(X4)
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(X1,X4)
    | ~ subset(X1,X2) ),
    i_0_106 ).

cnf(c_0_556,plain,
    relation(inclusion_relation(X1)),
    i_0_287 ).

cnf(c_0_557,plain,
    ( relation_field(X1) = X2
    | X1 != inclusion_relation(X2)
    | ~ relation(X1) ),
    i_0_108 ).

cnf(c_0_558,lemma,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk88_1(X1),esk88_1(X1)),unordered_pair(esk88_1(X1),esk88_1(X1))),X1) ),
    i_0_370 ).

cnf(c_0_559,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ subset(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_555]),c_0_556])]) ).

cnf(c_0_560,plain,
    subset(X1,X1),
    i_0_457 ).

cnf(c_0_561,lemma,
    ( reflexive(X1)
    | in(esk88_1(X1),relation_field(X1))
    | ~ relation(X1) ),
    i_0_371 ).

cnf(c_0_562,plain,
    relation_field(inclusion_relation(X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_557]),c_0_556])]) ).

cnf(c_0_563,lemma,
    ( reflexive(inclusion_relation(X1))
    | ~ in(esk88_1(inclusion_relation(X1)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_556]),c_0_560])]) ).

cnf(c_0_564,plain,
    ( reflexive(inclusion_relation(X1))
    | in(esk88_1(inclusion_relation(X1)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_562]),c_0_556])]) ).

cnf(c_0_565,negated_conjecture,
    ~ reflexive(inclusion_relation(esk119_0)),
    i_0_547 ).

cnf(c_0_566,plain,
    reflexive(inclusion_relation(X1)),
    inference(spm,[status(thm)],[c_0_563,c_0_564]) ).

cnf(c_0_567,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_565,c_0_566])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU268+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % 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 10:08:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 34.61/5.95  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 34.61/5.95  # 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: 21; version: 991; iters: 150)
% 34.61/5.95  # Preprocessing time       : 1.324 s
% 34.61/5.95  # Presaturation interreduction done
% 34.61/5.95  
% 34.61/5.95  # Proof found!
% 34.61/5.95  # SZS status Theorem
% 34.61/5.95  # SZS output start CNFRefutation
% See solution above
% 34.61/5.95  # Training examples: 0 positive, 0 negative
% 34.61/5.95  
% 34.61/5.95  # -------------------------------------------------
% 34.61/5.95  # User time                : 3.208 s
% 34.61/5.95  # System time              : 0.166 s
% 34.61/5.95  # Total time               : 3.374 s
% 34.61/5.95  # ...preprocessing         : 1.324 s
% 34.61/5.95  # ...main loop             : 2.050 s
% 34.61/5.95  # Maximum resident set size: 187084 pages
% 34.61/5.95  
%------------------------------------------------------------------------------