TSTP Solution File: SWW786_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW786_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 01:25:44 EDT 2022

% Result   : Unsatisfiable 4.74s 4.94s
% Output   : Refutation 4.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (  19 equ)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   36 (  36 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  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(635,axiom,
    'System_Object' != 'System_Byte',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1082,axiom,
    ! [X: $int] : ( 'SKOLEMAAAV21.$int'(X) = 'BaseClass'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1083,axiom,
    ! [X: $int] : ( x(X,'SKOLEMAAAV21.$int'(X)) = true_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1084,plain,
    ! [X: $int] : ( x(X,'BaseClass'(X)) = true_1 ),
    inference('REWRITE',[status(thm)],[1083,1082,theory(equality)]) ).

tff(1085,axiom,
    ! [X: $int] :
      ( ( X = 'System_Object' )
      | ( X != 'SKOLEMAAAV21.$int'(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1086,plain,
    ! [X: $int] :
      ( ( X = 'System_Object' )
      | ( X != 'BaseClass'(X) ) ),
    inference('REWRITE',[status(thm)],[1085,1082,theory(equality)]) ).

tff(1088,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(1202,axiom,
    'IsValueType'('System_Byte') = true_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(1402,axiom,
    'PurityAxiomsCanBeAssumed' = true_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(2220,plain,
    ! [X: $int] : ( x(X,'BaseClass'(X)) = 'PurityAxiomsCanBeAssumed' ),
    inference('REWRITE',[status(thm)],[1084,1402,theory(equality)]) ).

tff(2222,plain,
    ! [X: $int,Y: $int] :
      ( ( 'IsValueType'(X) != 'PurityAxiomsCanBeAssumed' )
      | ( x(X,Y) != 'PurityAxiomsCanBeAssumed' )
      | ( X = Y ) ),
    inference('REWRITE',[status(thm)],[1088,1402,theory(equality)]) ).

tff(2281,plain,
    'IsValueType'('System_Byte') = 'PurityAxiomsCanBeAssumed',
    inference('REWRITE',[status(thm)],[1202,1402,theory(equality)]) ).

tff(2413,plain,
    'System_Byte' != 'BaseClass'('System_Byte'),
    inference('UR-RESOLVE',[status(thm)],[1086,635]) ).

cnf(17013,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2222,2281,2220]),2413]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW786_1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 07:49:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T07:49:59
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T07:49:59
% 4.74/4.94  
% 4.74/4.94  
% 4.74/4.94  #||
% 4.74/4.94  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.94  % SZS output start Refutation
% See solution above
% 4.74/4.94  ||#
% 4.74/4.94  
% 4.74/4.94  ; Summary of computation:
% 4.74/4.94  ;     64290 formulas have been input or derived (from 1259 formulas).
% 4.74/4.94  ;     17013 (26%) were retained.  Of these,
% 4.74/4.94  ;         1076 ( 6%) were simplified or subsumed later,
% 4.74/4.94  ;        15937 (94%) are still being kept.
% 4.74/4.94  ; 
% 4.74/4.94  ; Run time in seconds excluding printing time:
% 4.74/4.94  ;     0.106   2%   Read assertion file          (1 call)
% 4.74/4.94  ;     0.368   8%   Assert                       (3 calls)
% 4.74/4.94  ;     1.044  23%   Process new row              (62,939 calls)
% 4.74/4.94  ;     1.053  24%   Resolution                   (2,516 calls)
% 4.74/4.94  ;     0.012   0%   Paramodulation               (1,258 calls)
% 4.74/4.94  ;     0.000   0%   Factoring                    (26 calls)
% 4.74/4.94  ;     0.096   2%   Condensing                   (5,653 calls)
% 4.74/4.94  ;     0.478  11%   Forward subsumption          (5,653 calls)
% 4.74/4.94  ;     0.170   4%   Backward subsumption         (1,529 calls)
% 4.74/4.94  ;     0.041   1%   Clause clause subsumption    (10,482 calls)
% 4.74/4.94  ;     0.748  17%   Forward simplification       (62,924 calls)
% 4.74/4.94  ;     0.122   3%   Backward simplification      (16,531 calls)
% 4.74/4.94  ;     0.036   1%   Ordering                     (17,166 calls)
% 4.74/4.94  ;     0.001   0%   Sortal reasoning             (1,763 calls)
% 4.74/4.94  ;     0.004   0%   Purity testing               (1 call)
% 4.74/4.94  ;     0.181   4%   Other
% 4.74/4.94  ;     4.460        Total
% 4.74/4.94  ;     4.461        Real time
% 4.74/4.94  ; 
% 4.74/4.94  ; Term-hash-array has 31,521 terms in all.
% 4.74/4.94  ; Feature-vector-row-index has 1,029 entries (1,029 at peak, 1,529 added, 500 deleted).
% 4.74/4.94  ; Feature-vector-row-index has 11,371 nodes (11,762 at peak, 22,944 added, 11,573 deleted).
% 4.74/4.94  ;  Retrieved 43,996 possibly forward subsuming rows in 5,653 calls.
% 4.74/4.94  ;  Retrieved 2,792 possibly backward subsumed rows in 1,529 calls.
% 4.74/4.94  ; Path-index has 31,357 entries (31,357 at peak, 32,118 added, 761 deleted).
% 4.74/4.94  ; Path-index has 8,757 nodes (8,757 at peak, 9,567 added, 810 deleted).
% 4.74/4.94  ; Trie-index has 31,357 entries (31,357 at peak, 32,118 added, 761 deleted).
% 4.74/4.94  ; Trie-index has 71,116 nodes (71,116 at peak, 72,967 added, 1,851 deleted).
% 4.74/4.94  ; Retrieved 136,239 generalization terms in 238,975 calls.
% 4.74/4.94  ; Retrieved 16,881 instance terms in 15,001 calls.
% 4.74/4.94  ; Retrieved 1,932,832 unifiable terms in 17,609 calls.
% 4.74/4.94  ; 
% 4.74/4.94  ; The agenda of rows to process has 595 entries:
% 4.74/4.94  ;    47 with value 7              27 with value 15               1 with value 17
% 4.74/4.94  ;   504 with value 8              12 with value 16               4 with value 21
% 4.74/4.94  ; The agenda of input rows to give has 393 entries:
% 4.74/4.94  ;     6 with value 17             13 with value 51              14 with value 86
% 4.74/4.94  ;     4 with value 18              2 with value 52               4 with value 87
% 4.74/4.94  ;    10 with value 19              6 with value 53              14 with value 88
% 4.74/4.94  ;     9 with value 20              3 with value 54               4 with value 89
% 4.74/4.94  ;    10 with value 21              3 with value 56              13 with value 90
% 4.74/4.94  ;     1 with value 22              2 with value 57               6 with value 91
% 4.74/4.94  ;    14 with value 23              4 with value 59               6 with value 92
% 4.74/4.94  ;     2 with value 24              2 with value 60               6 with value 93
% 4.74/4.94  ;     5 with value 25              4 with value 61               6 with value 94
% 4.74/4.94  ;     6 with value 26              1 with value 62               8 with value 95
% 4.74/4.94  ;     2 with value 27              7 with value 64               4 with value 96
% 4.74/4.94  ;     4 with value 28              4 with value 66               4 with value 97
% 4.74/4.94  ;     7 with value 29              4 with value 68               4 with value 98
% 4.74/4.94  ;     1 with value 31              1 with value 69               4 with value 99
% 4.74/4.94  ;     4 with value 32              4 with value 70               2 with value 100
% 4.74/4.94  ;     2 with value 33              1 with value 71               4 with value 101
% 4.74/4.94  ;     2 with value 34              3 with value 72               2 with value 102
% 4.74/4.94  ;     3 with value 35              3 with value 73               5 with value 103
% 4.74/4.94  ;     1 with value 36              5 with value 74               1 with value 104
% 4.74/4.94  ;     2 with value 37              4 with value 75               1 with value 105
% 4.74/4.94  ;     3 with value 38              4 with value 76               3 with value 106
% 4.74/4.94  ;     2 with value 40              3 with value 77               1 with value 107
% 4.74/4.94  ;     1 with value 41              4 with value 78               3 with value 108
% 4.74/4.94  ;     2 with value 42              7 with value 79               1 with value 109
% 4.74/4.94  ;     8 with value 44             12 with value 81               1 with value 111
% 4.74/4.94  ;     7 with value 46              4 with value 82               1 with value 114
% 4.74/4.94  ;     6 with value 47             14 with value 83               1 with value 116
% 4.74/4.94  ;     6 with value 48              5 with value 84               1 with value 120
% 4.74/4.94  ;     3 with value 49              7 with value 85
% 4.74/4.94  ; The agenda of rows to give has 14293 entries:
% 4.74/4.94  ;     7 with value (4 5)        9066 with value (4 14)          12 with value (4 22)
% 4.74/4.94  ;    48 with value (4 7)          63 with value (4 15)          22 with value (4 23)
% 4.74/4.94  ;  3706 with value (4 8)         229 with value (4 16)          69 with value (4 24)
% 4.74/4.94  ;    17 with value (4 9)          27 with value (4 17)          32 with value (4 25)
% 4.74/4.94  ;   212 with value (4 10)         98 with value (4 18)           4 with value (4 26)
% 4.74/4.94  ;   384 with value (4 11)         44 with value (4 19)          50 with value (4 27)
% 4.74/4.94  ;    50 with value (4 12)         13 with value (4 20)          20 with value (4 28)
% 4.74/4.94  ;    71 with value (4 13)         47 with value (4 21)           2 with value (4 29)
% 4.74/4.94  Evaluation took:
% 4.74/4.94    4.463 seconds of real time
% 4.74/4.94    4.136299 seconds of user run time
% 4.74/4.95    0.327048 seconds of system run time
% 4.74/4.95    [Run times include 0.426 seconds GC run time.]
% 4.74/4.95    0 calls to %EVAL
% 4.74/4.95    0 page faults and
% 4.74/4.95    389,002,808 bytes consed.
% 4.74/4.95  :PROOF-FOUND
% 4.74/4.95  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T07:50:04
% 4.74/4.95  :PROOF-FOUND
% 4.74/4.95  * 
%------------------------------------------------------------------------------