TSTP Solution File: PUZ149_13 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n002.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  : 300s
% DateTime : Mon May 22 15:41:59 EDT 2023

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   32 (  32 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   7 usr;   9 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    7 (   0 sgn;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
tff(4,axiom,
    ! [X: $ki_world] :
      ( $ki_accessible('#idx(pour_a)',$ki_local_world,'SKOLEMAAAV3.$ki_world')
      | ~ $ki_accessible('#idx(make_c)',$ki_local_world,X)
      | ~ acid(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).

tff(5,axiom,
    ! [X: $ki_world] :
      ( $ki_accessible('#idx(pour_b)','SKOLEMAAAV3.$ki_world','SKOLEMAAAV4.$ki_world')
      | ~ $ki_accessible('#idx(make_c)',$ki_local_world,X)
      | ~ acid(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).

tff(6,axiom,
    ! [X: $ki_world] :
      ( acid('SKOLEMAAAV4.$ki_world')
      | ~ $ki_accessible('#idx(make_c)',$ki_local_world,X)
      | ~ acid(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).

tff(13,axiom,
    ! [X: $ki_world] :
      ( ~ $ki_accessible('#idx(pour_a)',$ki_local_world,X)
      | ~ acid(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_a_acid) ).

tff(14,axiom,
    $ki_accessible('#idx(make_c)',$ki_local_world,'SKOLEMAAAV9.$ki_world'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid) ).

tff(15,axiom,
    acid('SKOLEMAAAV9.$ki_world'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid) ).

tff(16,negated_conjecture,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world] :
      ( ~ $ki_accessible('#idx(pour_a)',$ki_local_world,X)
      | acid(X)
      | ~ $ki_accessible('#idx(pour_a)',$ki_local_world,Y)
      | ~ $ki_accessible('#idx(pour_b)',Y,Z)
      | ~ acid(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(18,plain,
    acid('SKOLEMAAAV4.$ki_world'),
    inference('HYPERRESOLVE',[status(thm)],[6,14,15]) ).

tff(20,plain,
    $ki_accessible('#idx(pour_a)',$ki_local_world,'SKOLEMAAAV3.$ki_world'),
    inference('HYPERRESOLVE',[status(thm)],[4,14,15]) ).

tff(21,plain,
    $ki_accessible('#idx(pour_b)','SKOLEMAAAV3.$ki_world','SKOLEMAAAV4.$ki_world'),
    inference('HYPERRESOLVE',[status(thm)],[5,14,15]) ).

tff(26,plain,
    ~ acid('SKOLEMAAAV3.$ki_world'),
    inference('UR-RESOLVE',[status(thm)],[13,20]) ).

cnf(29,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,26,20,20,18]),21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n002.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  : 300
% 0.12/0.33  % DateTime : Mon May 22 12:46:37 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T12:46:37
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n002.cluster.edu at 2023-05-22T12:46:37
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        39 formulas have been input or derived (from 22 formulas).
% 0.18/0.49  ;        29 (74%) were retained.  Of these,
% 0.18/0.49  ;            6 (21%) were simplified or subsumed later,
% 0.18/0.49  ;           23 (79%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.003  10%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   3%   Assert                       (7 calls)
% 0.18/0.49  ;     0.003  10%   Process new row              (33 calls)
% 0.18/0.49  ;     0.001   3%   Resolution                   (42 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (21 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (14 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (14 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (14 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (33 calls)
% 0.18/0.49  ;     0.001   3%   Backward simplification      (29 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (34 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.022  71%   Other
% 0.18/0.49  ;     0.031        Total
% 0.18/0.49  ;     0.034        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 26 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 8 entries (14 at peak, 14 added, 6 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 46 nodes (76 at peak, 76 added, 30 deleted).
% 0.18/0.49  ;  Retrieved 1 possibly forward subsuming row in 14 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.18/0.49  ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.18/0.49  ; Path-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.18/0.49  ; Retrieved 5 generalization terms in 26 calls.
% 0.18/0.49  ; Retrieved 14 instance terms in 14 calls.
% 0.18/0.49  ; Retrieved 180 unifiable terms in 168 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to give has 7 entries:
% 0.18/0.49  ;     3 with value (4 6)           2 with value (4 7)            2 with value (4 8)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.034 seconds of real time
% 0.18/0.49    0.02858 seconds of user run time
% 0.18/0.49    0.005125 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    2,342,072 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T12:46:37
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------