TSTP Solution File: SEU020+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:38:03 EDT 2022

% Result   : Theorem 8.02s 2.55s
% Output   : CNFRefutation 8.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   22 (  18 unt;   0 nHn;  18 RR)
%            Number of literals    :   44 (   6 equ;  24 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
    ( subset(relation_rng(X1),relation_dom(X2))
    | relation_dom(relation_composition(X1,X2)) != relation_dom(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_44) ).

cnf(i_0_52,negated_conjecture,
    identity_relation(relation_dom(esk10_0)) = relation_composition(esk10_0,esk11_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_52) ).

cnf(i_0_60,plain,
    relation_dom(identity_relation(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_60) ).

cnf(i_0_54,negated_conjecture,
    relation(esk11_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_54) ).

cnf(i_0_56,negated_conjecture,
    relation(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_56) ).

cnf(i_0_53,negated_conjecture,
    function(esk11_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_53) ).

cnf(i_0_55,negated_conjecture,
    function(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_55) ).

cnf(i_0_48,plain,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ one_to_one(relation_composition(X1,X2))
    | ~ subset(relation_rng(X1),relation_dom(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_48) ).

cnf(i_0_50,plain,
    one_to_one(identity_relation(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_50) ).

cnf(i_0_51,negated_conjecture,
    ~ one_to_one(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xioeoc7m/lgb.p',i_0_51) ).

cnf(c_0_71,plain,
    ( subset(relation_rng(X1),relation_dom(X2))
    | relation_dom(relation_composition(X1,X2)) != relation_dom(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2) ),
    i_0_44 ).

cnf(c_0_72,negated_conjecture,
    identity_relation(relation_dom(esk10_0)) = relation_composition(esk10_0,esk11_0),
    i_0_52 ).

cnf(c_0_73,plain,
    relation_dom(identity_relation(X1)) = X1,
    i_0_60 ).

cnf(c_0_74,negated_conjecture,
    relation(esk11_0),
    i_0_54 ).

cnf(c_0_75,negated_conjecture,
    relation(esk10_0),
    i_0_56 ).

cnf(c_0_76,negated_conjecture,
    function(esk11_0),
    i_0_53 ).

cnf(c_0_77,negated_conjecture,
    function(esk10_0),
    i_0_55 ).

cnf(c_0_78,plain,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ one_to_one(relation_composition(X1,X2))
    | ~ subset(relation_rng(X1),relation_dom(X2)) ),
    i_0_48 ).

cnf(c_0_79,negated_conjecture,
    subset(relation_rng(esk10_0),relation_dom(esk11_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77])]) ).

cnf(c_0_80,plain,
    one_to_one(identity_relation(X1)),
    i_0_50 ).

cnf(c_0_81,negated_conjecture,
    ~ one_to_one(esk10_0),
    i_0_51 ).

cnf(c_0_82,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_72]),c_0_80]),c_0_74]),c_0_75]),c_0_76]),c_0_77])]),c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.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 10:41:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.02/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.02/2.55  # No SInE strategy applied
% 8.02/2.55  # Trying AutoSched0 for 150 seconds
% 8.02/2.55  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.02/2.55  # and selection function SelectComplexG.
% 8.02/2.55  #
% 8.02/2.55  # Preprocessing time       : 0.024 s
% 8.02/2.55  
% 8.02/2.55  # Proof found!
% 8.02/2.55  # SZS status Theorem
% 8.02/2.55  # SZS output start CNFRefutation
% See solution above
% 8.02/2.55  # Training examples: 0 positive, 0 negative
% 8.02/2.55  
% 8.02/2.55  # -------------------------------------------------
% 8.02/2.55  # User time                : 0.031 s
% 8.02/2.55  # System time              : 0.009 s
% 8.02/2.55  # Total time               : 0.039 s
% 8.02/2.55  # Maximum resident set size: 7120 pages
% 8.02/2.55  
%------------------------------------------------------------------------------