TSTP Solution File: SWW794_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW794_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Thu Jul 21 01:25:45 EDT 2022

% Result   : Unsatisfiable 6.94s 7.12s
% Output   : Refutation 6.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   65 (  22 equ)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   42 (  42 fml;   0 var)
%            Number arithmetic     :   10 (   0 atm;   0 fun;   0 num;  10 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(617,axiom,
    'System_Object' != 'System_Byte',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1039,axiom,
    ! [X: $int] : ( 'SKOLEMAAAW20.$int'(X) = 'BaseClass'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1040,axiom,
    ! [X: $int] : ( x(X,'SKOLEMAAAW20.$int'(X)) = true_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1041,plain,
    ! [X: $int] : ( x(X,'BaseClass'(X)) = true_1 ),
    inference('REWRITE',[status(thm)],[1040,1039,theory(equality)]) ).

tff(1042,axiom,
    ! [X: $int] :
      ( ( X = 'System_Object' )
      | ( X != 'SKOLEMAAAW20.$int'(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1043,plain,
    ! [X: $int] :
      ( ( X = 'System_Object' )
      | ( X != 'BaseClass'(X) ) ),
    inference('REWRITE',[status(thm)],[1042,1039,theory(equality)]) ).

tff(1045,axiom,
    ! [X: $int,Y: $int] :
      ( ( 'IsValueType'(X) != true_1 )
      | ( x(X,Y) != true_1 )
      | ( X = Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1159,axiom,
    'IsValueType'('System_Byte') = true_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1349,axiom,
    ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
    | ( entry_correct = true_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(1749,axiom,
    entry_correct != true_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(1753,plain,
    'PurityAxiomsCanBeAssumed' = true_1,
    inference('REWRITE',[status(thm)],[1349,1749]) ).

tff(1842,plain,
    ! [X: $int] : ( x(X,'BaseClass'(X)) = 'PurityAxiomsCanBeAssumed' ),
    inference('REWRITE',[status(thm)],[1041,1753,theory(equality)]) ).

tff(1844,plain,
    ! [X: $int,Y: $int] :
      ( ( 'IsValueType'(X) != 'PurityAxiomsCanBeAssumed' )
      | ( x(X,Y) != 'PurityAxiomsCanBeAssumed' )
      | ( X = Y ) ),
    inference('REWRITE',[status(thm)],[1045,1753,theory(equality)]) ).

tff(1903,plain,
    'IsValueType'('System_Byte') = 'PurityAxiomsCanBeAssumed',
    inference('REWRITE',[status(thm)],[1159,1753,theory(equality)]) ).

tff(3042,plain,
    'System_Byte' != 'BaseClass'('System_Byte'),
    inference('UR-RESOLVE',[status(thm)],[1043,617]) ).

cnf(17235,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1844,1903,1842]),3042]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW794_1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n024.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 Jun  5 19:30:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T19:30:20
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-05T19:30:20
% 6.94/7.12  
% 6.94/7.12  
% 6.94/7.12  #||
% 6.94/7.12  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/7.12  % SZS output start Refutation
% See solution above
% 6.94/7.12  ||#
% 6.94/7.12  
% 6.94/7.12  ; Summary of computation:
% 6.94/7.12  ;     56108 formulas have been input or derived (from 1207 formulas).
% 6.94/7.12  ;     17235 (31%) were retained.  Of these,
% 6.94/7.12  ;         1748 (10%) were simplified or subsumed later,
% 6.94/7.12  ;        15487 (90%) are still being kept.
% 6.94/7.12  ; 
% 6.94/7.12  ; Run time in seconds excluding printing time:
% 6.94/7.12  ;     0.110   2%   Read assertion file          (1 call)
% 6.94/7.12  ;     0.367   6%   Assert                       (3 calls)
% 6.94/7.12  ;     1.266  19%   Process new row              (55,186 calls)
% 6.94/7.12  ;     1.029  15%   Resolution                   (2,412 calls)
% 6.94/7.12  ;     0.010   0%   Paramodulation               (1,206 calls)
% 6.94/7.12  ;     0.000   0%   Factoring                    (24 calls)
% 6.94/7.12  ;     0.172   3%   Condensing                   (6,244 calls)
% 6.94/7.12  ;     1.776  27%   Forward subsumption          (6,244 calls)
% 6.94/7.12  ;     0.287   4%   Backward subsumption         (2,606 calls)
% 6.94/7.12  ;     0.055   1%   Clause clause subsumption    (9,971 calls)
% 6.94/7.12  ;     1.014  15%   Forward simplification       (55,162 calls)
% 6.94/7.12  ;     0.350   5%   Backward simplification      (17,143 calls)
% 6.94/7.12  ;     0.024   0%   Ordering                     (16,491 calls)
% 6.94/7.12  ;     0.001   0%   Sortal reasoning             (2,384 calls)
% 6.94/7.12  ;     0.002   0%   Purity testing               (1 call)
% 6.94/7.12  ;     0.187   3%   Other
% 6.94/7.12  ;     6.650        Total
% 6.94/7.12  ;     6.652        Real time
% 6.94/7.12  ; 
% 6.94/7.12  ; Term-hash-array has 30,720 terms in all.
% 6.94/7.12  ; Feature-vector-row-index has 1,036 entries (1,036 at peak, 2,606 added, 1,570 deleted).
% 6.94/7.12  ; Feature-vector-row-index has 11,966 nodes (15,638 at peak, 61,435 added, 49,469 deleted).
% 6.94/7.12  ;  Retrieved 29,613 possibly forward subsuming rows in 6,244 calls.
% 6.94/7.12  ;  Retrieved 1,323 possibly backward subsumed rows in 2,606 calls.
% 6.94/7.12  ; Path-index has 30,508 entries (30,508 at peak, 31,802 added, 1,294 deleted).
% 6.94/7.12  ; Path-index has 8,854 nodes (8,854 at peak, 10,021 added, 1,167 deleted).
% 6.94/7.12  ; Trie-index has 30,508 entries (30,508 at peak, 31,802 added, 1,294 deleted).
% 6.94/7.12  ; Trie-index has 69,207 nodes (69,207 at peak, 72,179 added, 2,972 deleted).
% 6.94/7.12  ; Retrieved 112,947 generalization terms in 231,878 calls.
% 6.94/7.12  ; Retrieved 16,331 instance terms in 14,536 calls.
% 6.94/7.12  ; Retrieved 1,780,195 unifiable terms in 16,994 calls.
% 6.94/7.12  ; 
% 6.94/7.12  ; The agenda of rows to process has 563 entries:
% 6.94/7.12  ;    36 with value 7              18 with value 15               1 with value 17
% 6.94/7.12  ;   492 with value 8              12 with value 16               4 with value 21
% 6.94/7.12  ; The agenda of input rows to give has 398 entries:
% 6.94/7.12  ;     6 with value 17              2 with value 53               5 with value 88
% 6.94/7.12  ;     7 with value 18              1 with value 54               6 with value 89
% 6.94/7.12  ;    10 with value 19              6 with value 55              14 with value 90
% 6.94/7.12  ;     9 with value 20              3 with value 56               4 with value 91
% 6.94/7.12  ;    10 with value 21              8 with value 57              14 with value 92
% 6.94/7.12  ;     1 with value 22              2 with value 58               4 with value 93
% 6.94/7.12  ;    15 with value 23              2 with value 59              13 with value 94
% 6.94/7.12  ;     2 with value 24              2 with value 60               6 with value 95
% 6.94/7.12  ;     5 with value 25              2 with value 61               6 with value 96
% 6.94/7.12  ;     7 with value 26              2 with value 63               6 with value 97
% 6.94/7.12  ;     2 with value 27              2 with value 64               6 with value 98
% 6.94/7.12  ;     4 with value 28              2 with value 65               8 with value 99
% 6.94/7.12  ;     7 with value 29              1 with value 66               4 with value 100
% 6.94/7.12  ;     1 with value 31              8 with value 68               4 with value 101
% 6.94/7.12  ;     4 with value 32              4 with value 70               4 with value 102
% 6.94/7.12  ;     2 with value 33              3 with value 72               4 with value 103
% 6.94/7.12  ;     2 with value 34              1 with value 73               2 with value 104
% 6.94/7.12  ;     3 with value 35              4 with value 74               4 with value 105
% 6.94/7.12  ;     1 with value 36              1 with value 75               2 with value 106
% 6.94/7.12  ;     2 with value 37              3 with value 76               5 with value 107
% 6.94/7.12  ;     3 with value 38              3 with value 77               1 with value 108
% 6.94/7.12  ;     1 with value 41              5 with value 78               1 with value 109
% 6.94/7.12  ;     2 with value 44              4 with value 79               3 with value 110
% 6.94/7.12  ;     3 with value 46              4 with value 80               1 with value 111
% 6.94/7.12  ;     4 with value 47              3 with value 81               3 with value 112
% 6.94/7.12  ;     8 with value 48              4 with value 82               1 with value 113
% 6.94/7.12  ;     1 with value 49              7 with value 83               1 with value 115
% 6.94/7.12  ;     6 with value 50             13 with value 85               1 with value 118
% 6.94/7.12  ;     9 with value 51              4 with value 86               2 with value 120
% 6.94/7.12  ;     6 with value 52             14 with value 87
% 6.94/7.12  ; The agenda of rows to give has 13889 entries:
% 6.94/7.12  ;     8 with value (4 5)        8674 with value (4 14)          12 with value (4 22)
% 6.94/7.12  ;    52 with value (4 7)          75 with value (4 15)          22 with value (4 23)
% 6.94/7.12  ;  3600 with value (4 8)         215 with value (4 16)          69 with value (4 24)
% 6.94/7.12  ;    21 with value (4 9)          27 with value (4 17)          32 with value (4 25)
% 6.94/7.12  ;   341 with value (4 10)         98 with value (4 18)           4 with value (4 26)
% 6.94/7.12  ;   334 with value (4 11)         44 with value (4 19)          50 with value (4 27)
% 6.94/7.12  ;    62 with value (4 12)         13 with value (4 20)          20 with value (4 28)
% 6.94/7.12  ;    67 with value (4 13)         47 with value (4 21)           2 with value (4 29)
% 6.94/7.12  Evaluation took:
% 6.94/7.12    6.656 seconds of real time
% 6.94/7.12    6.315924 seconds of user run time
% 6.94/7.12    0.338743 seconds of system run time
% 6.94/7.12    [Run times include 0.666 seconds GC run time.]
% 6.94/7.12    0 calls to %EVAL
% 6.94/7.12    0 page faults and
% 6.94/7.12    626,023,992 bytes consed.
% 6.94/7.12  :PROOF-FOUND
% 6.94/7.12  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T19:30:27
% 6.94/7.12  :PROOF-FOUND
% 6.94/7.12  * 
%------------------------------------------------------------------------------