TSTP Solution File: PUZ001-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 18:26:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  14 unt;   5 nHn;  21 RR)
%            Number of literals    :   35 (  12 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(someone_in_mansion,axiom,
    lives_at_dreadsbury(someone),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_in_mansion) ).

cnf(someone_killed_agatha,axiom,
    killed(someone,aunt_agatha),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_killed_agatha) ).

cnf(noone_else_lives_at_mansion,axiom,
    ( ~ lives_at_dreadsbury(X)
    | X = aunt_agatha
    | X = butler
    | X = charles ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).

cnf(killer_hates_victim,axiom,
    ( ~ killed(X,Y)
    | hates(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_hates_victim) ).

cnf(killer_poorer_than_victim,axiom,
    ( ~ killed(X,Y)
    | ~ richer(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_poorer_than_victim) ).

cnf(charles_and_agatha_hate_different_people,axiom,
    ( ~ hates(aunt_agatha,X)
    | ~ hates(charles,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).

cnf(agatha_likes_only_butler,axiom,
    ( X = butler
    | hates(aunt_agatha,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_likes_only_butler) ).

cnf(butler_hates_poor_people,axiom,
    ( richer(X,aunt_agatha)
    | hates(butler,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_hates_poor_people) ).

cnf(butler_and_agatha_hate_the_same_people,axiom,
    ( ~ hates(aunt_agatha,X)
    | hates(butler,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).

cnf(noone_hates_everyone,axiom,
    ~ hates(X,every_one_but(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_hates_everyone) ).

cnf(agatha_is_not_the_butler,axiom,
    aunt_agatha != butler,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).

cnf(prove_agatha_killed_herself,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).

cnf(16,plain,
    hates(someone,aunt_agatha),
    inference('HYPERRESOLVE',[status(thm)],[killer_hates_victim,someone_killed_agatha]) ).

cnf(19,plain,
    hates(aunt_agatha,aunt_agatha),
    inference('UR-RESOLVE',[status(thm)],[agatha_likes_only_butler,agatha_is_not_the_butler]) ).

cnf(21,plain,
    hates(butler,someone),
    inference('HYPERRESOLVE',[status(thm)],[killer_poorer_than_victim,butler_hates_poor_people,someone_killed_agatha]) ).

cnf(23,plain,
    ~ hates(aunt_agatha,every_one_but(butler)),
    inference('UR-RESOLVE',[status(thm)],[butler_and_agatha_hate_the_same_people,noone_hates_everyone]) ).

cnf(25,plain,
    ( someone = aunt_agatha
    | someone = butler
    | someone = charles ),
    inference('HYPERRESOLVE',[status(thm)],[noone_else_lives_at_mansion,someone_in_mansion]) ).

cnf(27,plain,
    ~ hates(charles,aunt_agatha),
    inference('UR-RESOLVE',[status(thm)],[charles_and_agatha_hate_different_people,19]) ).

cnf(32,plain,
    every_one_but(butler) = butler,
    inference('HYPERRESOLVE',[status(thm)],[23,agatha_likes_only_butler]) ).

cnf(36,plain,
    ~ hates(butler,butler),
    inference('PARAMODULATE',[status(thm)],[noone_hates_everyone,32,theory(equality)]) ).

cnf(39,plain,
    ( someone = aunt_agatha
    | someone = butler ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,25,theory(equality)]),27]) ).

cnf(40,plain,
    someone = aunt_agatha,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,39,theory(equality)]),36]) ).

cnf(41,plain,
    $false,
    inference('REWRITE',[status(thm)],[someone_killed_agatha,prove_agatha_killed_herself,40,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 02:59:09 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T02:59:09
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-29T02:59:09
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        79 formulas have been input or derived (from 37 formulas).
% 0.19/0.51  ;        41 (52%) were retained.  Of these,
% 0.19/0.51  ;           12 (29%) were simplified or subsumed later,
% 0.19/0.51  ;           29 (71%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.002   6%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   3%   Assert                       (15 calls)
% 0.19/0.52  ;     0.004  12%   Process new row              (66 calls)
% 0.19/0.52  ;     0.002   6%   Resolution                   (72 calls)
% 0.19/0.52  ;     0.001   3%   Paramodulation               (36 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (12 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.52  ;     0.001   3%   Forward simplification       (63 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (41 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (81 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.023  68%   Other
% 0.19/0.52  ;     0.034        Total
% 0.19/0.52  ;     0.036        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 46 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 8 entries (11 at peak, 12 added, 4 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 24 nodes (49 at peak, 55 added, 31 deleted).
% 0.19/0.52  ;  Retrieved 2 possibly forward subsuming rows in 12 calls.
% 0.19/0.52  ;  Retrieved 3 possibly backward subsumed rows in 12 calls.
% 0.19/0.52  ; Path-index has 38 entries (47 at peak, 52 added, 14 deleted).
% 0.19/0.52  ; Path-index has 56 nodes (63 at peak, 67 added, 11 deleted).
% 0.19/0.52  ; Trie-index has 38 entries (47 at peak, 52 added, 14 deleted).
% 0.19/0.52  ; Trie-index has 63 nodes (76 at peak, 87 added, 24 deleted).
% 0.19/0.52  ; Retrieved 19 generalization terms in 70 calls.
% 0.19/0.52  ; Retrieved 28 instance terms in 28 calls.
% 0.19/0.52  ; Retrieved 160 unifiable terms in 195 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.19/0.52  ;     4 with value 0
% 0.19/0.52  ; The agenda of rows to process has 4 entries:
% 0.19/0.52  ;     3 with value 11              1 with value 15
% 0.19/0.52  ; The agenda of rows to give has 1 entry:
% 0.19/0.52  ;     1 with value (4 7)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.037 seconds of real time
% 0.19/0.52    0.029035 seconds of user run time
% 0.19/0.52    0.007267 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,636,672 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T02:59:09
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------