TSTP Solution File: SEU003+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU003+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 08:37:57 EDT 2022

% Result   : Theorem 8.63s 2.42s
% Output   : CNFRefutation 8.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  17 unt;   2 nHn;  28 RR)
%            Number of literals    :   67 (  10 equ;  37 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( in(esk2_3(X1,X2,X3),relation_dom(X1))
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_12) ).

cnf(i_0_53,negated_conjecture,
    ~ subset(relation_rng(esk15_0),relation_dom(esk14_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_53) ).

cnf(i_0_5,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_5) ).

cnf(i_0_11,plain,
    ( apply(X1,esk2_3(X1,X2,X3)) = X3
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_11) ).

cnf(i_0_51,plain,
    ( in(apply(X1,X2),relation_dom(X3))
    | ~ function(X3)
    | ~ function(X1)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_51) ).

cnf(i_0_54,negated_conjecture,
    relation_dom(relation_composition(esk15_0,esk14_0)) = relation_dom(esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_54) ).

cnf(i_0_58,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_58) ).

cnf(i_0_56,negated_conjecture,
    relation(esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_56) ).

cnf(i_0_57,negated_conjecture,
    function(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_57) ).

cnf(i_0_55,negated_conjecture,
    function(esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_55) ).

cnf(i_0_4,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9kfxwy77/lgb.p',i_0_4) ).

cnf(c_0_70,plain,
    ( in(esk2_3(X1,X2,X3),relation_dom(X1))
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    i_0_12 ).

cnf(c_0_71,negated_conjecture,
    ~ subset(relation_rng(esk15_0),relation_dom(esk14_0)),
    i_0_53 ).

cnf(c_0_72,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_5 ).

cnf(c_0_73,plain,
    ( apply(X1,esk2_3(X1,X2,X3)) = X3
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    i_0_11 ).

cnf(c_0_74,plain,
    ( in(apply(X1,X2),relation_dom(X3))
    | ~ function(X3)
    | ~ function(X1)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
    i_0_51 ).

cnf(c_0_75,negated_conjecture,
    relation_dom(relation_composition(esk15_0,esk14_0)) = relation_dom(esk15_0),
    i_0_54 ).

cnf(c_0_76,negated_conjecture,
    relation(esk14_0),
    i_0_58 ).

cnf(c_0_77,negated_conjecture,
    relation(esk15_0),
    i_0_56 ).

cnf(c_0_78,negated_conjecture,
    function(esk14_0),
    i_0_57 ).

cnf(c_0_79,negated_conjecture,
    function(esk15_0),
    i_0_55 ).

cnf(c_0_80,plain,
    ( in(esk2_3(X1,relation_rng(X1),X2),relation_dom(X1))
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,relation_rng(X1)) ),
    inference(er,[status(thm)],[c_0_70]) ).

cnf(c_0_81,negated_conjecture,
    in(esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)),relation_rng(esk15_0)),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_82,plain,
    ( apply(X1,esk2_3(X1,relation_rng(X1),X2)) = X2
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,relation_rng(X1)) ),
    inference(er,[status(thm)],[c_0_73]) ).

cnf(c_0_83,negated_conjecture,
    ( in(apply(esk15_0,X1),relation_dom(esk14_0))
    | ~ in(X1,relation_dom(esk15_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).

cnf(c_0_84,negated_conjecture,
    in(esk2_3(esk15_0,relation_rng(esk15_0),esk1_2(relation_rng(esk15_0),relation_dom(esk14_0))),relation_dom(esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_77]),c_0_79])]) ).

cnf(c_0_85,negated_conjecture,
    apply(esk15_0,esk2_3(esk15_0,relation_rng(esk15_0),esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)))) = esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_81]),c_0_77]),c_0_79])]) ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_4 ).

cnf(c_0_87,negated_conjecture,
    in(esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)),relation_dom(esk14_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

cnf(c_0_88,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU003+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 21:33:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.63/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.63/2.42  # No SInE strategy applied
% 8.63/2.42  # Trying AutoSched0 for 150 seconds
% 8.63/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 8.63/2.42  # and selection function SelectComplexG.
% 8.63/2.42  #
% 8.63/2.42  # Preprocessing time       : 0.021 s
% 8.63/2.42  # Presaturation interreduction done
% 8.63/2.42  
% 8.63/2.42  # Proof found!
% 8.63/2.42  # SZS status Theorem
% 8.63/2.42  # SZS output start CNFRefutation
% See solution above
% 8.63/2.42  # Training examples: 0 positive, 0 negative
% 8.63/2.42  
% 8.63/2.42  # -------------------------------------------------
% 8.63/2.42  # User time                : 0.097 s
% 8.63/2.42  # System time              : 0.009 s
% 8.63/2.42  # Total time               : 0.107 s
% 8.63/2.42  # Maximum resident set size: 7124 pages
% 8.63/2.42  
%------------------------------------------------------------------------------