TSTP Solution File: SEU046+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 08:38:11 EDT 2022

% Result   : Theorem 7.62s 2.37s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (   8 unt;   4 nHn;  19 RR)
%            Number of literals    :   79 (   2 equ;  48 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   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   :   55 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_7) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_9) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_8) ).

cnf(i_0_67,negated_conjecture,
    ( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0))
    | ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_67) ).

cnf(i_0_66,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_rng_restriction(X4,X2)
    | ~ function(X3)
    | ~ function(X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_66) ).

cnf(i_0_10,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_10) ).

cnf(i_0_19,plain,
    ( function(relation_rng_restriction(X1,X2))
    | ~ function(X2)
    | ~ relation(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_19) ).

cnf(i_0_48,plain,
    ( subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))
    | ~ relation(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_48) ).

cnf(i_0_69,negated_conjecture,
    relation(esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_69) ).

cnf(i_0_47,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_47) ).

cnf(i_0_68,negated_conjecture,
    function(esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qs1l6orr/lgb.p',i_0_68) ).

cnf(c_0_81,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_7 ).

cnf(c_0_82,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_9 ).

cnf(c_0_83,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_84,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X3)
    | ~ subset(X3,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,plain,
    ( in(esk1_2(X1,X2),X3)
    | subset(X1,X2)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0))
    | ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0)) ),
    i_0_67 ).

cnf(c_0_87,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_rng_restriction(X4,X2)
    | ~ function(X3)
    | ~ function(X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(X3)) ),
    i_0_66 ).

cnf(c_0_89,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    i_0_10 ).

cnf(c_0_90,plain,
    ( function(relation_rng_restriction(X1,X2))
    | ~ function(X2)
    | ~ relation(X2) ),
    i_0_19 ).

cnf(c_0_91,negated_conjecture,
    ( ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0))
    | ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),X1)
    | ~ subset(X1,relation_dom(esk16_0)) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_92,plain,
    ( subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))
    | ~ relation(X2) ),
    i_0_48 ).

cnf(c_0_93,negated_conjecture,
    relation(esk16_0),
    i_0_69 ).

cnf(c_0_94,plain,
    ( in(X1,relation_dom(X2))
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_88]),c_0_89]),c_0_90]) ).

cnf(c_0_95,plain,
    ( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),X1)
    | ~ subset(X1,relation_dom(esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).

cnf(c_0_96,plain,
    subset(X1,X1),
    i_0_47 ).

cnf(c_0_97,plain,
    ( in(esk1_2(relation_dom(relation_rng_restriction(X1,X2)),X3),relation_dom(X2))
    | subset(relation_dom(relation_rng_restriction(X1,X2)),X3)
    | ~ function(X2)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_83]) ).

cnf(c_0_98,plain,
    ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_99,plain,
    ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
    | ~ function(X2)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_97]) ).

cnf(c_0_100,negated_conjecture,
    function(esk16_0),
    i_0_68 ).

cnf(c_0_101,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_93])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 12:20:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.62/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.62/2.37  # No SInE strategy applied
% 7.62/2.37  # Trying AutoSched0 for 150 seconds
% 7.62/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01BI
% 7.62/2.37  # and selection function PSelectMinOptimalNoXTypePred.
% 7.62/2.37  #
% 7.62/2.37  # Preprocessing time       : 0.023 s
% 7.62/2.37  # Presaturation interreduction done
% 7.62/2.37  
% 7.62/2.37  # Proof found!
% 7.62/2.37  # SZS status Theorem
% 7.62/2.37  # SZS output start CNFRefutation
% See solution above
% 7.62/2.37  # Training examples: 0 positive, 0 negative
% 7.62/2.37  
% 7.62/2.37  # -------------------------------------------------
% 7.62/2.37  # User time                : 0.030 s
% 7.62/2.37  # System time              : 0.005 s
% 7.62/2.37  # Total time               : 0.035 s
% 7.62/2.37  # Maximum resident set size: 7120 pages
% 7.62/2.37  
%------------------------------------------------------------------------------