TSTP Solution File: PUZ128+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 : Mon Jul 18 18:08:47 EDT 2022

% Result   : Theorem 7.54s 2.41s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   50 (  36 unt;   0 nHn;  50 RR)
%            Number of literals    :   98 (  26 equ;  51 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    parent(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_15) ).

cnf(i_0_13,plain,
    esk1_0 = 'Iokaste',
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_13) ).

cnf(i_0_16,negated_conjecture,
    ( esk6_4(X1,X2,X3,X4) = X4
    | X2 != X3
    | 'Iokaste' != X1
    | ~ parent(X3)
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ relation(X3,of,X4)
    | ~ relation(X1,of,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_16) ).

cnf(i_0_3,plain,
    patricide(esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_3) ).

cnf(i_0_2,plain,
    esk5_0 = 'Oedipus',
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_2) ).

cnf(i_0_9,plain,
    parent(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_9) ).

cnf(i_0_7,plain,
    'Oedipus' = esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_7) ).

cnf(i_0_14,plain,
    relation(esk1_0,of,'Oedipus'),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_14) ).

cnf(i_0_17,negated_conjecture,
    ( patricide(esk6_4(X1,X2,X3,X4))
    | X2 != X3
    | 'Iokaste' != X1
    | ~ parent(X3)
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ relation(X3,of,X4)
    | ~ relation(X1,of,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_17) ).

cnf(i_0_6,plain,
    parent(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_6) ).

cnf(i_0_4,plain,
    'Polyneikes' = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_4) ).

cnf(i_0_11,plain,
    relation(esk2_0,of,'Polyneikes'),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_11) ).

cnf(i_0_10,plain,
    esk2_0 = 'Iokaste',
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_10) ).

cnf(i_0_8,plain,
    relation(esk3_0,of,'Polyneikes'),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_8) ).

cnf(i_0_1,plain,
    ( 'Thersandros' != X1
    | ~ patricide(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_1) ).

cnf(i_0_5,plain,
    relation(esk4_0,of,'Thersandros'),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-isddjf91/lgb.p',i_0_5) ).

cnf(c_0_34,plain,
    parent(esk1_0),
    i_0_15 ).

cnf(c_0_35,plain,
    esk1_0 = 'Iokaste',
    i_0_13 ).

cnf(c_0_36,negated_conjecture,
    ( esk6_4(X1,X2,X3,X4) = X4
    | X2 != X3
    | 'Iokaste' != X1
    | ~ parent(X3)
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ relation(X3,of,X4)
    | ~ relation(X1,of,X2) ),
    i_0_16 ).

cnf(c_0_37,plain,
    parent('Iokaste'),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    patricide(esk5_0),
    i_0_3 ).

cnf(c_0_39,plain,
    esk5_0 = 'Oedipus',
    i_0_2 ).

cnf(c_0_40,plain,
    parent(esk3_0),
    i_0_9 ).

cnf(c_0_41,plain,
    'Oedipus' = esk3_0,
    i_0_7 ).

cnf(c_0_42,plain,
    relation(esk1_0,of,'Oedipus'),
    i_0_14 ).

cnf(c_0_43,negated_conjecture,
    ( patricide(esk6_4(X1,X2,X3,X4))
    | X2 != X3
    | 'Iokaste' != X1
    | ~ parent(X3)
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ relation(X3,of,X4)
    | ~ relation(X1,of,X2) ),
    i_0_17 ).

cnf(c_0_44,negated_conjecture,
    ( esk6_4('Iokaste',X1,X1,X2) = X2
    | ~ patricide(X1)
    | ~ parent(X1)
    | ~ relation('Iokaste',of,X1)
    | ~ relation(X1,of,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]),c_0_37])]) ).

cnf(c_0_45,plain,
    patricide('Oedipus'),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_46,plain,
    parent('Oedipus'),
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,plain,
    relation('Iokaste',of,'Oedipus'),
    inference(rw,[status(thm)],[c_0_42,c_0_35]) ).

cnf(c_0_48,negated_conjecture,
    ( patricide(esk6_4('Iokaste',X1,X1,X2))
    | ~ patricide(X1)
    | ~ parent(X1)
    | ~ relation('Iokaste',of,X1)
    | ~ relation(X1,of,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]),c_0_37])]) ).

cnf(c_0_49,plain,
    ( esk6_4('Iokaste','Oedipus','Oedipus',X1) = X1
    | ~ relation('Oedipus',of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_50,negated_conjecture,
    ( patricide(X1)
    | ~ relation('Oedipus',of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_51,plain,
    parent(esk4_0),
    i_0_6 ).

cnf(c_0_52,plain,
    'Polyneikes' = esk4_0,
    i_0_4 ).

cnf(c_0_53,plain,
    relation(esk2_0,of,'Polyneikes'),
    i_0_11 ).

cnf(c_0_54,plain,
    esk2_0 = 'Iokaste',
    i_0_10 ).

cnf(c_0_55,plain,
    relation(esk3_0,of,'Polyneikes'),
    i_0_8 ).

cnf(c_0_56,negated_conjecture,
    ( esk6_4('Iokaste',X1,X1,X2) = X2
    | ~ parent(X1)
    | ~ relation('Iokaste',of,X1)
    | ~ relation('Oedipus',of,X1)
    | ~ relation(X1,of,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_50]) ).

cnf(c_0_57,plain,
    parent('Polyneikes'),
    inference(rw,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,plain,
    relation('Iokaste',of,'Polyneikes'),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,plain,
    relation('Oedipus',of,'Polyneikes'),
    inference(rw,[status(thm)],[c_0_55,c_0_41]) ).

cnf(c_0_60,plain,
    ( esk6_4('Iokaste','Polyneikes','Polyneikes',X1) = X1
    | ~ relation('Polyneikes',of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]) ).

cnf(c_0_61,plain,
    ( 'Thersandros' != X1
    | ~ patricide(X1) ),
    i_0_1 ).

cnf(c_0_62,negated_conjecture,
    ( patricide(X1)
    | ~ patricide('Polyneikes')
    | ~ relation('Polyneikes',of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_60]),c_0_57]),c_0_58])]) ).

cnf(c_0_63,plain,
    relation(esk4_0,of,'Thersandros'),
    i_0_5 ).

cnf(c_0_64,plain,
    ~ patricide('Thersandros'),
    inference(er,[status(thm)],[c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( patricide(X1)
    | ~ relation('Polyneikes',of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_59])]) ).

cnf(c_0_66,plain,
    relation('Polyneikes',of,'Thersandros'),
    inference(rw,[status(thm)],[c_0_63,c_0_52]) ).

cnf(c_0_67,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.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 : Sat May 28 21:11:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.54/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.54/2.41  # No SInE strategy applied
% 7.54/2.41  # Trying AutoSched0 for 150 seconds
% 7.54/2.41  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S063N
% 7.54/2.41  # and selection function SelectMaxLComplexAvoidPosUPred.
% 7.54/2.41  #
% 7.54/2.41  # Preprocessing time       : 0.023 s
% 7.54/2.41  # Presaturation interreduction done
% 7.54/2.41  
% 7.54/2.41  # Proof found!
% 7.54/2.41  # SZS status Theorem
% 7.54/2.41  # SZS output start CNFRefutation
% See solution above
% 7.54/2.41  # Training examples: 0 positive, 0 negative
% 7.54/2.41  
% 7.54/2.41  # -------------------------------------------------
% 7.54/2.41  # User time                : 0.026 s
% 7.54/2.41  # System time              : 0.007 s
% 7.54/2.41  # Total time               : 0.032 s
% 7.54/2.41  # Maximum resident set size: 7128 pages
% 7.54/2.41  
%------------------------------------------------------------------------------