TSTP Solution File: SEU062+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 08:38:16 EDT 2022

% Result   : Theorem 6.34s 2.21s
% Output   : CNFRefutation 6.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   5 unt;   5 nHn;  11 RR)
%            Number of literals    :   29 (   5 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_43,plain,
    ( relation_inverse_image(X1,singleton(X2)) = empty_set
    | in(X2,relation_rng(X1))
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_43) ).

cnf(i_0_47,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_47) ).

cnf(i_0_46,negated_conjecture,
    ( relation_inverse_image(esk14_0,singleton(X1)) != empty_set
    | ~ in(X1,esk13_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_46) ).

cnf(i_0_7,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_7) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_8) ).

cnf(i_0_45,negated_conjecture,
    ~ subset(esk13_0,relation_rng(esk14_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lyz_em2v/lgb.p',i_0_45) ).

cnf(c_0_54,plain,
    ( relation_inverse_image(X1,singleton(X2)) = empty_set
    | in(X2,relation_rng(X1))
    | ~ relation(X1) ),
    i_0_43 ).

cnf(c_0_55,negated_conjecture,
    relation(esk14_0),
    i_0_47 ).

cnf(c_0_56,negated_conjecture,
    ( relation_inverse_image(esk14_0,singleton(X1)) != empty_set
    | ~ in(X1,esk13_0) ),
    i_0_46 ).

cnf(c_0_57,negated_conjecture,
    ( relation_inverse_image(esk14_0,singleton(X1)) = empty_set
    | in(X1,relation_rng(esk14_0)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_7 ).

cnf(c_0_59,negated_conjecture,
    ( in(X1,relation_rng(esk14_0))
    | ~ in(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,plain,
    ( subset(X1,relation_rng(esk14_0))
    | ~ in(esk1_2(X1,relation_rng(esk14_0)),esk13_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_61,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_62,negated_conjecture,
    ~ subset(esk13_0,relation_rng(esk14_0)),
    i_0_45 ).

cnf(c_0_63,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.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 00:51:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 6.34/2.21  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.34/2.21  # No SInE strategy applied
% 6.34/2.21  # Trying AutoSched0 for 150 seconds
% 6.34/2.21  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.34/2.21  # and selection function SelectComplexExceptUniqMaxHorn.
% 6.34/2.21  #
% 6.34/2.21  # Preprocessing time       : 0.024 s
% 6.34/2.21  # Presaturation interreduction done
% 6.34/2.21  
% 6.34/2.21  # Proof found!
% 6.34/2.21  # SZS status Theorem
% 6.34/2.21  # SZS output start CNFRefutation
% See solution above
% 6.34/2.21  # Training examples: 0 positive, 0 negative
% 6.34/2.21  
% 6.34/2.21  # -------------------------------------------------
% 6.34/2.21  # User time                : 0.025 s
% 6.34/2.21  # System time              : 0.008 s
% 6.34/2.21  # Total time               : 0.033 s
% 6.34/2.21  # Maximum resident set size: 7124 pages
% 6.34/2.21  
%------------------------------------------------------------------------------