TSTP Solution File: SYO903_10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 15:45:56 EDT 2023

% Result   : Theorem 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :    9 (   7 avg)
%            Number of connectives :  167 (  75   ~;  92   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   66 (  66 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   52 (   0 sgn;  52   !;   0   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
tff(1,axiom,
    ! [X: $ki_world] : $ki_accessible(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(7,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( v1($ki_local_world)
      | v3($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | v3(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | v4(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat5) ).

tff(13,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( v1($ki_local_world)
      | ~ v4($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | ~ v3(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v4(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat11) ).

tff(21,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world,V: $ki_world] :
      ( v2($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | v4(X)
      | ~ $ki_accessible($ki_local_world,Y)
      | ~ $ki_accessible(Y,Z)
      | v2(Z)
      | ~ $ki_accessible($ki_local_world,U)
      | ~ $ki_accessible(U,V)
      | v3(V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat19) ).

tff(28,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( v3($ki_local_world)
      | ~ v4($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | v3(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v4(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat26) ).

tff(33,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( v4($ki_local_world)
      | ~ v3($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | v1(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | v4(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat31) ).

tff(34,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world,V: $ki_world] :
      ( v4($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ v1(X)
      | ~ $ki_accessible($ki_local_world,Y)
      | ~ $ki_accessible(Y,Z)
      | v4(Z)
      | ~ $ki_accessible($ki_local_world,U)
      | ~ $ki_accessible(U,V)
      | ~ v1(V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat32) ).

tff(35,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world] :
      ( ~ v1($ki_local_world)
      | ~ v2($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | v3(X)
      | ~ $ki_accessible($ki_local_world,Y)
      | ~ $ki_accessible(Y,Z)
      | ~ v1(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat33) ).

tff(38,axiom,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( ~ v1($ki_local_world)
      | ~ v3($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | ~ v1(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v3(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat36) ).

tff(53,axiom,
    $ki_accessible($ki_local_world,'SKOLEMAAAV1.$ki_world'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deontic1) ).

tff(58,plain,
    ( v1($ki_local_world)
    | v3($ki_local_world)
    | v4('SKOLEMAAAV1.$ki_world') ),
    inference('HYPERRESOLVE',[status(thm)],[7,1,1,53,1]) ).

tff(59,plain,
    ( v1($ki_local_world)
    | v3($ki_local_world)
    | v4($ki_local_world) ),
    inference('HYPERRESOLVE',[status(thm)],[7,1,1,1,1]) ).

tff(63,plain,
    ( v2($ki_local_world)
    | v4('SKOLEMAAAV1.$ki_world')
    | v3($ki_local_world) ),
    inference('HYPERRESOLVE',[status(thm)],[21,53,1,1,1,1]) ).

tff(65,plain,
    ( v1($ki_local_world)
    | v3($ki_local_world) ),
    inference('HYPERRESOLVE',[status(thm)],[28,59,1,1,53,1,58]) ).

tff(66,plain,
    ( v1($ki_local_world)
    | v4($ki_local_world) ),
    inference('HYPERRESOLVE',[status(thm)],[33,65,1,1,1,1]) ).

tff(68,plain,
    v1($ki_local_world),
    inference('HYPERRESOLVE',[status(thm)],[13,66,1,1,65,1,1,66]) ).

tff(73,plain,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world] :
      ( ~ v2($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | v3(X)
      | ~ $ki_accessible($ki_local_world,Y)
      | ~ $ki_accessible(Y,Z)
      | ~ v1(Z) ),
    inference('REWRITE',[status(thm)],[35,68]) ).

tff(76,plain,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( ~ v3($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | ~ v1(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v3(U) ),
    inference('REWRITE',[status(thm)],[38,68]) ).

tff(82,plain,
    v4($ki_local_world),
    inference('HYPERRESOLVE',[status(thm)],[34,68,1,1,1,1,1,68]) ).

tff(83,plain,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( v3($ki_local_world)
      | ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | v3(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v4(U) ),
    inference('REWRITE',[status(thm)],[28,82]) ).

tff(90,plain,
    ~ v3($ki_local_world),
    inference('UR-RESOLVE',[status(thm)],[76,68,1,1,1,1]) ).

tff(92,plain,
    ( v2($ki_local_world)
    | v4('SKOLEMAAAV1.$ki_world') ),
    inference('REWRITE',[status(thm)],[63,90]) ).

tff(96,plain,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world,U: $ki_world] :
      ( ~ $ki_accessible($ki_local_world,X)
      | ~ $ki_accessible(X,Y)
      | v3(Y)
      | ~ $ki_accessible($ki_local_world,Z)
      | ~ $ki_accessible(Z,U)
      | ~ v4(U) ),
    inference('REWRITE',[status(thm)],[83,90]) ).

tff(99,plain,
    v2($ki_local_world),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,92,1,1,53,1]),90]) ).

tff(102,plain,
    ! [X: $ki_world,Y: $ki_world,Z: $ki_world] :
      ( ~ $ki_accessible($ki_local_world,X)
      | v3(X)
      | ~ $ki_accessible($ki_local_world,Y)
      | ~ $ki_accessible(Y,Z)
      | ~ v1(Z) ),
    inference('REWRITE',[status(thm)],[73,99]) ).

cnf(106,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[102,1,1,1,68]),90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.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 13:16:08 EDT 2023
% 0.18/0.33  % 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 2023-05-22T13:16:08
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2023-05-22T13:16:08
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  #||
% 0.18/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55  % SZS output start Refutation
% See solution above
% 0.18/0.56  ||#
% 0.18/0.56  
% 0.18/0.56  ; Summary of computation:
% 0.18/0.56  ;       381 formulas have been input or derived (from 80 formulas).
% 0.18/0.56  ;       106 (28%) were retained.  Of these,
% 0.18/0.56  ;           80 (75%) were simplified or subsumed later,
% 0.18/0.56  ;           26 (25%) are still being kept.
% 0.18/0.56  ; 
% 0.18/0.56  ; Run time in seconds excluding printing time:
% 0.18/0.56  ;     0.026  28%   Read assertion file          (1 call)
% 0.18/0.56  ;     0.004   4%   Assert                       (54 calls)
% 0.18/0.56  ;     0.010  11%   Process new row              (244 calls)
% 0.18/0.56  ;     0.012  13%   Resolution                   (158 calls)
% 0.18/0.56  ;     0.001   1%   Paramodulation               (79 calls)
% 0.18/0.56  ;     0.000   0%   Factoring                    (5 calls)
% 0.18/0.56  ;     0.004   4%   Condensing                   (134 calls)
% 0.18/0.56  ;     0.002   2%   Forward subsumption          (134 calls)
% 0.18/0.56  ;     0.001   1%   Backward subsumption         (98 calls)
% 0.18/0.56  ;     0.000   0%   Clause clause subsumption    (94 calls)
% 0.18/0.56  ;     0.007   7%   Forward simplification       (169 calls)
% 0.18/0.56  ;     0.002   2%   Backward simplification      (106 calls)
% 0.18/0.56  ;     0.000   0%   Ordering                     (85 calls)
% 0.18/0.56  ;     0.001   1%   Sortal reasoning             (33 calls)
% 0.18/0.56  ;     0.001   1%   Purity testing               (1 call)
% 0.18/0.56  ;     0.023  24%   Other
% 0.18/0.56  ;     0.094        Total
% 0.18/0.56  ;     0.098        Real time
% 0.18/0.56  ; 
% 0.18/0.56  ; Term-hash-array has 44 terms in all.
% 0.18/0.56  ; Feature-vector-row-index has 18 entries (57 at peak, 98 added, 80 deleted).
% 0.18/0.56  ; Feature-vector-row-index has 77 nodes (358 at peak, 528 added, 451 deleted).
% 0.18/0.56  ;  Retrieved 67 possibly forward subsuming rows in 134 calls.
% 0.18/0.56  ;  Retrieved 39 possibly backward subsumed rows in 98 calls.
% 0.18/0.56  ; Path-index has 40 entries (46 at peak, 60 added, 20 deleted).
% 0.18/0.56  ; Path-index has 26 nodes (26 at peak, 33 added, 7 deleted).
% 0.18/0.56  ; Trie-index has 40 entries (46 at peak, 60 added, 20 deleted).
% 0.18/0.56  ; Trie-index has 25 nodes (25 at peak, 32 added, 7 deleted).
% 0.18/0.56  ; Retrieved 336 generalization terms in 422 calls.
% 0.18/0.56  ; Retrieved 7 instance terms in 7 calls.
% 0.18/0.56  ; Retrieved 7,552 unifiable terms in 1,962 calls.
% 0.18/0.56  ; 
% 0.18/0.56  ; The agenda of rows to process has 2 entries:
% 0.18/0.56  ;     2 with value 8
% 0.18/0.56  ; The agenda of input rows to give has 4 entries:
% 0.18/0.56  ;     2 with value 18              1 with value 29               1 with value 33
% 0.18/0.56  ; The agenda of rows to give has 6 entries:
% 0.18/0.56  ;     1 with value (4 5)           3 with value (4 8)            1 with value (4 11)
% 0.18/0.56  ;     1 with value (4 7)
% 0.18/0.56  Evaluation took:
% 0.18/0.56    0.098 seconds of real time
% 0.18/0.56    0.086133 seconds of user run time
% 0.18/0.56    0.01199 seconds of system run time
% 0.18/0.56    0 calls to %EVAL
% 0.18/0.56    0 page faults and
% 0.18/0.56    7,562,664 bytes consed.
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T13:16:09
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  * 
%------------------------------------------------------------------------------