TSTP Solution File: PUZ128+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 18:26:54 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   31 (  28 unt;   0 nHn;  31 RR)
%            Number of literals    :   46 (  13 equ;  17 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; 0-1 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    relation('SKOLEMAAAU1',of,'Oedipus'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(3,axiom,
    'Iokaste' = 'SKOLEMAAAU1',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(4,axiom,
    parent('SKOLEMAAAU2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(5,axiom,
    relation('SKOLEMAAAU2',of,'Polyneikes'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(6,axiom,
    'Iokaste' = 'SKOLEMAAAU2',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(7,axiom,
    parent('SKOLEMAAAU3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(8,axiom,
    relation('SKOLEMAAAU3',of,'Polyneikes'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(9,axiom,
    'Oedipus' = 'SKOLEMAAAU3',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(10,axiom,
    parent('SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(11,axiom,
    relation('SKOLEMAAAU4',of,'Thersandros'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(12,axiom,
    'Polyneikes' = 'SKOLEMAAAU4',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(13,axiom,
    patricide('SKOLEMAAAU5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(14,axiom,
    'Oedipus' = 'SKOLEMAAAU5',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(15,axiom,
    ( ~ patricide(X)
    | 'Thersandros' != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).

cnf(16,negated_conjecture,
    ( ~ parent(X)
    | ~ patricide(Y)
    | ~ parent(Z)
    | patricide('SKOLEMAAAU6'(U))
    | ~ relation(Z,of,U)
    | Y != Z
    | ~ relation(X,of,Y)
    | 'Iokaste' != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(17,negated_conjecture,
    ( ~ parent(X)
    | ~ patricide(Y)
    | ~ parent(Z)
    | U = 'SKOLEMAAAU6'(U)
    | ~ relation(Z,of,U)
    | Y != Z
    | ~ relation(X,of,Y)
    | 'Iokaste' != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

cnf(18,plain,
    patricide('Oedipus'),
    inference('REWRITE',[status(thm)],[13,14,theory(equality)]) ).

cnf(19,plain,
    parent('Polyneikes'),
    inference('REWRITE',[status(thm)],[10,12,theory(equality)]) ).

cnf(20,plain,
    relation('Polyneikes',of,'Thersandros'),
    inference('REWRITE',[status(thm)],[11,12,theory(equality)]) ).

cnf(21,plain,
    parent('Oedipus'),
    inference('REWRITE',[status(thm)],[7,9,theory(equality)]) ).

cnf(22,plain,
    relation('Oedipus',of,'Polyneikes'),
    inference('REWRITE',[status(thm)],[8,9,theory(equality)]) ).

cnf(23,plain,
    parent('Iokaste'),
    inference('REWRITE',[status(thm)],[4,6,theory(equality)]) ).

cnf(24,plain,
    relation('Iokaste',of,'Polyneikes'),
    inference('REWRITE',[status(thm)],[5,6,theory(equality)]) ).

cnf(25,plain,
    relation('Iokaste',of,'Oedipus'),
    inference('REWRITE',[status(thm)],[2,3,theory(equality)]) ).

cnf(26,plain,
    ~ patricide('Thersandros'),
    inference('UR-RESOLVE',[status(thm)],[15,theory(equality)]) ).

cnf(28,plain,
    patricide('SKOLEMAAAU6'('Polyneikes')),
    inference('HYPERRESOLVE',[status(thm)],[16,23,18,21,22,25,theory(equality),theory(equality)]) ).

cnf(29,plain,
    'Polyneikes' = 'SKOLEMAAAU6'('Polyneikes'),
    inference('HYPERRESOLVE',[status(thm)],[17,23,18,21,22,25,theory(equality),theory(equality)]) ).

cnf(30,plain,
    patricide('Polyneikes'),
    inference('REWRITE',[status(thm)],[28,29,theory(equality)]) ).

cnf(32,plain,
    patricide('SKOLEMAAAU6'('Thersandros')),
    inference('HYPERRESOLVE',[status(thm)],[16,30,23,19,20,24,theory(equality),theory(equality)]) ).

cnf(33,plain,
    'Thersandros' = 'SKOLEMAAAU6'('Thersandros'),
    inference('HYPERRESOLVE',[status(thm)],[17,30,23,19,20,24,theory(equality),theory(equality)]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[32,26,33,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat May 28 21:12:56 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T21:12:56
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-28T21:12:56
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        44 formulas have been input or derived (from 19 formulas).
% 0.19/0.49  ;        34 (77%) were retained.  Of these,
% 0.19/0.49  ;           11 (32%) were simplified or subsumed later,
% 0.19/0.49  ;           23 (68%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.002   6%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   3%   Assert                       (2 calls)
% 0.19/0.49  ;     0.002   6%   Process new row              (40 calls)
% 0.19/0.49  ;     0.003  10%   Resolution                   (36 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (18 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (40 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (34 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (28 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.023  74%   Other
% 0.19/0.49  ;     0.031        Total
% 0.19/0.49  ;     0.033        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 44 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.49  ; Path-index has 43 entries (44 at peak, 62 added, 19 deleted).
% 0.19/0.49  ; Path-index has 55 nodes (56 at peak, 82 added, 27 deleted).
% 0.19/0.49  ; Trie-index has 43 entries (44 at peak, 62 added, 19 deleted).
% 0.19/0.49  ; Trie-index has 63 nodes (64 at peak, 99 added, 36 deleted).
% 0.19/0.49  ; Retrieved 2 generalization terms in 37 calls.
% 0.19/0.49  ; Retrieved 30 instance terms in 30 calls.
% 0.19/0.49  ; Retrieved 759 unifiable terms in 422 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to give has 4 entries:
% 0.19/0.49  ;     1 with value (4 5)           1 with value (4 7)            1 with value (4 8)
% 0.19/0.49  ;     1 with value (4 6)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.033 seconds of real time
% 0.19/0.49    0.030288 seconds of user run time
% 0.19/0.49    0.002907 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    3,209,128 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T21:12:56
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------