TSTP Solution File: SEU010+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 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 08:37:59 EDT 2022

% Result   : Theorem 7.72s 2.42s
% Output   : CNFRefutation 7.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   6 unt;   0 nHn;  12 RR)
%            Number of literals    :   26 (  11 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_55,plain,
    ( relation_composition(identity_relation(X1),X2) = X2
    | ~ relation(X2)
    | ~ subset(relation_dom(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7jaitf/input.p',i_0_55) ).

cnf(i_0_29,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7jaitf/input.p',i_0_29) ).

cnf(i_0_52,negated_conjecture,
    ( relation_composition(esk10_0,identity_relation(relation_rng(esk10_0))) != esk10_0
    | relation_composition(identity_relation(relation_dom(esk10_0)),esk10_0) != esk10_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7jaitf/input.p',i_0_52) ).

cnf(i_0_54,negated_conjecture,
    relation(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7jaitf/input.p',i_0_54) ).

cnf(i_0_56,plain,
    ( relation_composition(X1,identity_relation(X2)) = X1
    | ~ relation(X1)
    | ~ subset(relation_rng(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7jaitf/input.p',i_0_56) ).

cnf(c_0_62,plain,
    ( relation_composition(identity_relation(X1),X2) = X2
    | ~ relation(X2)
    | ~ subset(relation_dom(X2),X1) ),
    i_0_55 ).

cnf(c_0_63,plain,
    subset(X1,X1),
    i_0_29 ).

cnf(c_0_64,negated_conjecture,
    ( relation_composition(esk10_0,identity_relation(relation_rng(esk10_0))) != esk10_0
    | relation_composition(identity_relation(relation_dom(esk10_0)),esk10_0) != esk10_0 ),
    i_0_52 ).

cnf(c_0_65,plain,
    ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    relation(esk10_0),
    i_0_54 ).

cnf(c_0_67,plain,
    ( relation_composition(X1,identity_relation(X2)) = X1
    | ~ relation(X1)
    | ~ subset(relation_rng(X1),X2) ),
    i_0_56 ).

cnf(c_0_68,negated_conjecture,
    relation_composition(esk10_0,identity_relation(relation_rng(esk10_0))) != esk10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).

cnf(c_0_69,plain,
    ( relation_composition(X1,identity_relation(relation_rng(X1))) = X1
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_63]) ).

cnf(c_0_70,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n009.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 : Mon Jun 20 00:14:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.72/2.42  # ENIGMATIC: Solved by autoschedule:
% 7.72/2.42  # No SInE strategy applied
% 7.72/2.42  # Trying AutoSched0 for 150 seconds
% 7.72/2.42  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.72/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.72/2.42  #
% 7.72/2.42  # Preprocessing time       : 0.013 s
% 7.72/2.42  
% 7.72/2.42  # Proof found!
% 7.72/2.42  # SZS status Theorem
% 7.72/2.42  # SZS output start CNFRefutation
% See solution above
% 7.72/2.42  # Training examples: 0 positive, 0 negative
% 7.72/2.42  
% 7.72/2.42  # -------------------------------------------------
% 7.72/2.42  # User time                : 0.012 s
% 7.72/2.42  # System time              : 0.008 s
% 7.72/2.42  # Total time               : 0.021 s
% 7.72/2.42  # Maximum resident set size: 7116 pages
% 7.72/2.42  
%------------------------------------------------------------------------------