TSTP Solution File: SEU201+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:39:28 EDT 2022

% Result   : Theorem 38.39s 6.17s
% Output   : CNFRefutation 38.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (  11 unt;  10 nHn;  24 RR)
%            Number of literals    :   72 (  14 equ;  31 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   50 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_234,negated_conjecture,
    set_difference(relation_rng(esk55_0),set_difference(relation_rng(esk55_0),esk54_0)) != relation_rng(relation_rng_restriction(esk54_0,esk55_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_234) ).

cnf(i_0_6,plain,
    set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_6) ).

cnf(i_0_83,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),X1)
    | in(esk28_3(X2,X3,X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_83) ).

cnf(i_0_226,lemma,
    ( in(X1,relation_rng(relation_rng_restriction(X2,X3)))
    | ~ relation(X3)
    | ~ in(X1,X2)
    | ~ in(X1,relation_rng(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_226) ).

cnf(i_0_84,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),X1)
    | in(esk28_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_84) ).

cnf(i_0_227,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_rng(relation_rng_restriction(X3,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_227) ).

cnf(i_0_235,negated_conjecture,
    relation(esk55_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_235) ).

cnf(i_0_228,lemma,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_rng(relation_rng_restriction(X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_228) ).

cnf(i_0_85,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | ~ in(esk28_3(X2,X3,X1),X1)
    | ~ in(esk28_3(X2,X3,X1),X3)
    | ~ in(esk28_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e8p1fau2/input.p',i_0_85) ).

cnf(c_0_245,negated_conjecture,
    set_difference(relation_rng(esk55_0),set_difference(relation_rng(esk55_0),esk54_0)) != relation_rng(relation_rng_restriction(esk54_0,esk55_0)),
    i_0_234 ).

cnf(c_0_246,plain,
    set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
    i_0_6 ).

cnf(c_0_247,negated_conjecture,
    relation_rng(relation_rng_restriction(esk54_0,esk55_0)) != set_difference(esk54_0,set_difference(esk54_0,relation_rng(esk55_0))),
    inference(rw,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_248,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),X1)
    | in(esk28_3(X2,X3,X1),X3) ),
    i_0_83 ).

cnf(c_0_249,negated_conjecture,
    ( in(esk28_3(X1,X2,relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(esk54_0,esk55_0)))
    | in(esk28_3(X1,X2,relation_rng(relation_rng_restriction(esk54_0,esk55_0))),X2)
    | set_difference(X1,set_difference(X1,X2)) != set_difference(esk54_0,set_difference(esk54_0,relation_rng(esk55_0))) ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_250,lemma,
    ( in(X1,relation_rng(relation_rng_restriction(X2,X3)))
    | ~ relation(X3)
    | ~ in(X1,X2)
    | ~ in(X1,relation_rng(X3)) ),
    i_0_226 ).

cnf(c_0_251,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),X1)
    | in(esk28_3(X2,X3,X1),X2) ),
    i_0_84 ).

cnf(c_0_252,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_rng(relation_rng_restriction(X3,X2))) ),
    i_0_227 ).

cnf(c_0_253,negated_conjecture,
    ( in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(esk54_0,esk55_0)))
    | in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(esk55_0)) ),
    inference(er,[status(thm)],[c_0_249]) ).

cnf(c_0_254,negated_conjecture,
    relation(esk55_0),
    i_0_235 ).

cnf(c_0_255,lemma,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),relation_rng(relation_rng_restriction(X1,X4)))
    | in(esk28_3(X2,X3,X1),X2)
    | ~ in(esk28_3(X2,X3,X1),relation_rng(X4))
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_256,lemma,
    in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(esk55_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254])]) ).

cnf(c_0_257,lemma,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_rng(relation_rng_restriction(X2,X3))) ),
    i_0_228 ).

cnf(c_0_258,lemma,
    ( in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk55_0)))
    | in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),esk54_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_254])]),c_0_247]) ).

cnf(c_0_259,plain,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | ~ in(esk28_3(X2,X3,X1),X1)
    | ~ in(esk28_3(X2,X3,X1),X3)
    | ~ in(esk28_3(X2,X3,X1),X2) ),
    i_0_85 ).

cnf(c_0_260,lemma,
    ( in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(esk54_0,esk55_0)))
    | in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),esk54_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_254])]) ).

cnf(c_0_261,plain,
    ( ~ in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(esk54_0,esk55_0)))
    | ~ in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),esk54_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_256]),c_0_247]) ).

cnf(c_0_262,lemma,
    in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_260]),c_0_254])]) ).

cnf(c_0_263,lemma,
    ( X1 = set_difference(X2,set_difference(X2,X3))
    | in(esk28_3(X2,X3,X1),relation_rng(relation_rng_restriction(X2,X4)))
    | in(esk28_3(X2,X3,X1),X1)
    | ~ in(esk28_3(X2,X3,X1),relation_rng(X4))
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_264,plain,
    ~ in(esk28_3(esk54_0,relation_rng(esk55_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),relation_rng(relation_rng_restriction(esk54_0,esk55_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262])]) ).

cnf(c_0_265,lemma,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_256]),c_0_254])]),c_0_247]),c_0_264]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jun 19 11:15:16 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 38.39/6.17  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 38.39/6.17  # 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: 40; version: 991; iters: 150)
% 38.39/6.17  # Preprocessing time       : 0.836 s
% 38.39/6.17  # Presaturation interreduction done
% 38.39/6.17  
% 38.39/6.17  # Proof found!
% 38.39/6.17  # SZS status Theorem
% 38.39/6.17  # SZS output start CNFRefutation
% See solution above
% 38.39/6.17  # Training examples: 0 positive, 0 negative
% 38.39/6.17  
% 38.39/6.17  # -------------------------------------------------
% 38.39/6.17  # User time                : 3.740 s
% 38.39/6.17  # System time              : 0.143 s
% 38.39/6.17  # Total time               : 3.883 s
% 38.39/6.17  # ...preprocessing         : 0.836 s
% 38.39/6.17  # ...main loop             : 3.047 s
% 38.39/6.17  # Maximum resident set size: 169048 pages
% 38.39/6.17  
%------------------------------------------------------------------------------