TSTP Solution File: SEU224+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU224+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 08:39:46 EDT 2022

% Result   : Theorem 8.47s 2.61s
% Output   : CNFRefutation 8.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   6 unt;   4 nHn;  19 RR)
%            Number of literals    :   42 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_441,lemma,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_441) ).

cnf(i_0_253,negated_conjecture,
    ( in(esk57_0,esk56_0)
    | in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_253) ).

cnf(i_0_257,negated_conjecture,
    relation(esk58_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_257) ).

cnf(i_0_255,negated_conjecture,
    ( ~ in(esk57_0,esk56_0)
    | ~ in(esk57_0,relation_dom(esk58_0))
    | ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_255) ).

cnf(i_0_439,lemma,
    ( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ in(X1,relation_dom(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_439) ).

cnf(i_0_254,negated_conjecture,
    ( in(esk57_0,relation_dom(esk58_0))
    | in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_254) ).

cnf(i_0_440,lemma,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83fmb9s3/lgb.p',i_0_440) ).

cnf(c_0_449,lemma,
    ( in(X1,X2)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
    i_0_441 ).

cnf(c_0_450,negated_conjecture,
    ( in(esk57_0,esk56_0)
    | in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    i_0_253 ).

cnf(c_0_451,negated_conjecture,
    relation(esk58_0),
    i_0_257 ).

cnf(c_0_452,negated_conjecture,
    ( ~ in(esk57_0,esk56_0)
    | ~ in(esk57_0,relation_dom(esk58_0))
    | ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    i_0_255 ).

cnf(c_0_453,negated_conjecture,
    in(esk57_0,esk56_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_451])]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0)))
    | ~ in(esk57_0,relation_dom(esk58_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_453])]) ).

cnf(c_0_455,lemma,
    ( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
    | ~ relation(X2)
    | ~ in(X1,X3)
    | ~ in(X1,relation_dom(X2)) ),
    i_0_439 ).

cnf(c_0_456,negated_conjecture,
    ( in(esk57_0,relation_dom(esk58_0))
    | in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))) ),
    i_0_254 ).

cnf(c_0_457,lemma,
    ~ in(esk57_0,relation_dom(esk58_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_451]),c_0_453])]) ).

cnf(c_0_458,lemma,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
    i_0_440 ).

cnf(c_0_459,negated_conjecture,
    in(esk57_0,relation_dom(relation_dom_restriction(esk58_0,esk56_0))),
    inference(sr,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_460,lemma,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_451])]),c_0_457]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU224+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 12:24:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.47/2.61  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.47/2.61  # No SInE strategy applied
% 8.47/2.61  # Trying AutoSched0 for 150 seconds
% 8.47/2.61  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 8.47/2.61  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.47/2.61  #
% 8.47/2.61  # Preprocessing time       : 0.025 s
% 8.47/2.61  
% 8.47/2.61  # Proof found!
% 8.47/2.61  # SZS status Theorem
% 8.47/2.61  # SZS output start CNFRefutation
% See solution above
% 8.47/2.61  # Training examples: 0 positive, 0 negative
% 8.47/2.61  
% 8.47/2.61  # -------------------------------------------------
% 8.47/2.61  # User time                : 0.035 s
% 8.47/2.61  # System time              : 0.004 s
% 8.47/2.61  # Total time               : 0.039 s
% 8.47/2.61  # Maximum resident set size: 7124 pages
% 8.47/2.61  
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