TSTP Solution File: SEU080+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU080+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 08:38:21 EDT 2022

% Result   : Theorem 4.53s 2.28s
% Output   : CNFRefutation 4.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  17 unt;   0 nHn;  21 RR)
%            Number of literals    :   37 (   6 equ;  17 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( subset(X1,X2)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ subset(X1,relation_rng(X3))
    | ~ subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_42) ).

cnf(i_0_44,negated_conjecture,
    subset(esk13_0,relation_rng(esk14_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_44) ).

cnf(i_0_48,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_48) ).

cnf(i_0_47,negated_conjecture,
    function(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_47) ).

cnf(i_0_46,negated_conjecture,
    relation_inverse_image(esk14_0,esk13_0) = relation_inverse_image(esk14_0,esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_46) ).

cnf(i_0_41,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_41) ).

cnf(i_0_45,negated_conjecture,
    subset(esk12_0,relation_rng(esk14_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_45) ).

cnf(i_0_7,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_7) ).

cnf(i_0_43,negated_conjecture,
    esk13_0 != esk12_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rdigk9yk/lgb.p',i_0_43) ).

cnf(c_0_58,plain,
    ( subset(X1,X2)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ subset(X1,relation_rng(X3))
    | ~ subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ),
    i_0_42 ).

cnf(c_0_59,negated_conjecture,
    subset(esk13_0,relation_rng(esk14_0)),
    i_0_44 ).

cnf(c_0_60,negated_conjecture,
    relation(esk14_0),
    i_0_48 ).

cnf(c_0_61,negated_conjecture,
    function(esk14_0),
    i_0_47 ).

cnf(c_0_62,negated_conjecture,
    relation_inverse_image(esk14_0,esk13_0) = relation_inverse_image(esk14_0,esk12_0),
    i_0_46 ).

cnf(c_0_63,negated_conjecture,
    ( subset(esk13_0,X1)
    | ~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_64,plain,
    subset(X1,X1),
    i_0_41 ).

cnf(c_0_65,negated_conjecture,
    subset(esk12_0,relation_rng(esk14_0)),
    i_0_45 ).

cnf(c_0_66,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_7 ).

cnf(c_0_67,plain,
    subset(esk13_0,esk12_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,negated_conjecture,
    esk13_0 != esk12_0,
    i_0_43 ).

cnf(c_0_69,negated_conjecture,
    ( subset(esk12_0,X1)
    | ~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_65]),c_0_60]),c_0_61])]) ).

cnf(c_0_70,plain,
    ~ subset(esk12_0,esk13_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_62]),c_0_64])]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 : Mon Jun 20 01:43:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 4.53/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.53/2.28  # No SInE strategy applied
% 4.53/2.28  # Trying AutoSched0 for 150 seconds
% 4.53/2.28  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 4.53/2.28  # and selection function SelectGrCQArEqFirst.
% 4.53/2.28  #
% 4.53/2.28  # Preprocessing time       : 0.023 s
% 4.53/2.28  # Presaturation interreduction done
% 4.53/2.28  
% 4.53/2.28  # Proof found!
% 4.53/2.28  # SZS status Theorem
% 4.53/2.28  # SZS output start CNFRefutation
% See solution above
% 4.53/2.28  # Training examples: 0 positive, 0 negative
% 4.53/2.28  
% 4.53/2.28  # -------------------------------------------------
% 4.53/2.28  # User time                : 0.026 s
% 4.53/2.28  # System time              : 0.007 s
% 4.53/2.28  # Total time               : 0.034 s
% 4.53/2.28  # Maximum resident set size: 7124 pages
% 4.53/2.28  
%------------------------------------------------------------------------------