TSTP Solution File: ITP306_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 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 : Sun Jul 17 00:35:04 EDT 2022

% Result   : Theorem 105.72s 105.88s
% Output   : Refutation 105.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   17 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   89 (  19 equ)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   64 (  64 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;  13 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   15 (   0 sgn  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(176,negated_conjecture,
    'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$'))) != 'node_ptr$',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture85) ).

tff(177,axiom,
    'is_character_data_ptr_kind_n_o_d_e_p_t_r$'('node_ptr$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom86) ).

tff(179,axiom,
    ! [X: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',Y: 'B_character_data_ptr$'] :
      ( ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X) != 'fun_app$t'('some$',Y) )
      | ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(Y) = X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom88) ).

tff(181,axiom,
    ! [X: 'B_character_data_ptr$'] : ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X)) = 'fun_app$t'('some$',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom89) ).

tff(190,axiom,
    ! [X: 'B_character_data_ptr_option$',Y: 'B_character_data_ptr_option$'] :
      ( ( X = 'none$' )
      | ( Y = 'none$' )
      | ( 'fun_app$al'('the$',X) != 'fun_app$al'('the$',Y) )
      | ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom95) ).

tff(194,axiom,
    ! [X: 'B_character_data_ptr$'] : ( 'fun_app$al'('the$','fun_app$t'('some$',X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom98) ).

tff(195,plain,
    ! [X: 'B_character_data_ptr$'] : ( 'fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X))) = X ),
    inference('REWRITE',[status(thm)],[194,181,theory(equality)]) ).

tff(196,axiom,
    ! [X: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ~ 'is_character_data_ptr_kind_n_o_d_e_p_t_r$'(X)
      | 'fun_app$b'('case_option$'(tlfalse,'uu$'),'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom99) ).

tff(199,axiom,
    ! [X: tlbool,Y: 'B_character_data_ptr_bool_fun$',Z: 'B_character_data_ptr_option$'] :
      ( ~ 'fun_app$b'('case_option$'(X,Y),Z)
      | ( Z != 'none$' )
      | ( X = tltrue ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom101) ).

tff(251,axiom,
    ! [X: 'B_character_data_ptr$'] : ( 'none$' != 'fun_app$t'('some$',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom134) ).

tff(252,plain,
    ! [X: 'B_character_data_ptr$'] : ( 'none$' != 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(X)) ),
    inference('REWRITE',[status(thm)],[251,181,theory(equality)]) ).

tff(1406,axiom,
    tltrue != tlfalse,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_753) ).

tff(1501,plain,
    ! [X: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',Y: 'B_character_data_ptr$'] :
      ( ( 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'(X) != 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(Y)) )
      | ( 'cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'(Y) = X ) ),
    inference('REWRITE',[status(thm)],[179,181,theory(equality)]) ).

tff(1689,plain,
    'fun_app$b'('case_option$'(tlfalse,'uu$'),'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$')),
    inference('HYPERRESOLVE',[status(thm)],[196,177]) ).

tff(3040,plain,
    'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$') != 'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('cast_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r_2_n_o_d_e_p_t_r$'('fun_app$al'('the$','cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$')))),
    inference('UR-RESOLVE',[status(thm)],[1501,176]) ).

tff(17411,plain,
    'cast_n_o_d_e_p_t_r_2_c_h_a_r_a_c_t_e_r_d_a_t_a_p_t_r$'('node_ptr$') != 'none$',
    inference('UR-RESOLVE',[status(thm)],[199,1689,1406]) ).

cnf(17433,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[190,17411,252,195]),3040]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % 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 : Fri Jun  3 18:31:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T18:31:13
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-03T18:31:13
% 0.56/0.77  WARNING:
% 0.56/0.77     |finite$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.77  WARNING:
% 0.56/0.77     DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.56/0.77  WARNING:
% 0.56/0.77     |fun_app$ak| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 105.72/105.88  
% 105.72/105.88  
% 105.72/105.88  #||
% 105.72/105.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.72/105.88  % SZS output start Refutation
% See solution above
% 105.72/105.88  ||#
% 105.72/105.88  
% 105.72/105.88  ; Summary of computation:
% 105.72/105.88  ;    689364 formulas have been input or derived (from 1520 formulas).
% 105.72/105.88  ;     17433 ( 3%) were retained.  Of these,
% 105.72/105.88  ;         3092 (18%) were simplified or subsumed later,
% 105.72/105.88  ;        14341 (82%) are still being kept.
% 105.72/105.88  ; 
% 105.72/105.88  ; Run time in seconds excluding printing time:
% 105.72/105.88  ;     0.237   0%   Read assertion file          (1 call)
% 105.72/105.88  ;     0.030   0%   Assert                       (754 calls)
% 105.72/105.88  ;     3.557   3%   Process new row              (682,067 calls)
% 105.72/105.88  ;    63.753  60%   Resolution                   (3,038 calls)
% 105.72/105.88  ;     0.206   0%   Paramodulation               (1,519 calls)
% 105.72/105.88  ;     0.001   0%   Factoring                    (168 calls)
% 105.72/105.88  ;     1.158   1%   Condensing                   (98,699 calls)
% 105.72/105.88  ;     6.514   6%   Forward subsumption          (98,699 calls)
% 105.72/105.88  ;     1.186   1%   Backward subsumption         (12,248 calls)
% 105.72/105.88  ;     0.876   1%   Clause clause subsumption    (120,468 calls)
% 105.72/105.88  ;    18.621  18%   Forward simplification       (594,623 calls)
% 105.72/105.88  ;     0.111   0%   Backward simplification      (17,269 calls)
% 105.72/105.88  ;     1.027   1%   Ordering                     (252,243 calls)
% 105.72/105.88  ;     6.160   6%   Sortal reasoning             (8,880,195 calls)
% 105.72/105.88  ;     0.003   0%   Purity testing               (1 call)
% 105.72/105.88  ;     1.960   2%   Other
% 105.72/105.88  ;   105.400        Total
% 105.72/105.88  ;   105.403        Real time
% 105.72/105.89  ; 
% 105.72/105.89  ; Term-hash-array has 39,054 terms in all.
% 105.72/105.89  ; Feature-vector-row-index has 9,454 entries (11,352 at peak, 12,248 added, 2,794 deleted).
% 105.72/105.89  ; Feature-vector-row-index has 62,786 nodes (75,611 at peak, 80,438 added, 17,652 deleted).
% 105.72/105.89  ;  Retrieved 253,546 possibly forward subsuming rows in 98,699 calls.
% 105.72/105.89  ;  Retrieved 9,067 possibly backward subsumed rows in 12,248 calls.
% 105.72/105.89  ; Path-index has 33,697 entries (33,890 at peak, 39,655 added, 5,958 deleted).
% 105.72/105.89  ; Path-index has 76,418 nodes (76,418 at peak, 80,503 added, 4,085 deleted).
% 105.72/105.89  ; Trie-index has 33,697 entries (33,890 at peak, 39,655 added, 5,958 deleted).
% 105.72/105.89  ; Trie-index has 109,873 nodes (110,060 at peak, 126,683 added, 16,810 deleted).
% 105.72/105.89  ; Retrieved 3,200,047 generalization terms in 7,754,342 calls.
% 105.72/105.89  ; Retrieved 5,504 instance terms in 5,273 calls.
% 105.72/105.89  ; Retrieved 117,962,347 unifiable terms in 113,097 calls.
% 105.72/105.89  ; 
% 105.72/105.89  ; The agenda of rows to process has 37 entries:
% 105.72/105.89  ;     4 with value 17              4 with value 19              21 with value 20
% 105.72/105.89  ;     8 with value 18
% 105.72/105.89  ; The agenda of rows to give has 12881 entries:
% 105.72/105.89  ;   125 with value (4 9)          68 with value (4 40)          17 with value (4 71)
% 105.72/105.89  ;   151 with value (4 10)        133 with value (4 41)          22 with value (4 72)
% 105.72/105.89  ;   605 with value (4 11)         87 with value (4 42)          25 with value (4 73)
% 105.72/105.89  ;  1116 with value (4 12)        137 with value (4 43)          18 with value (4 74)
% 105.72/105.89  ;   642 with value (4 13)        110 with value (4 44)          27 with value (4 75)
% 105.72/105.89  ;  1082 with value (4 14)         98 with value (4 45)          20 with value (4 76)
% 105.72/105.89  ;   435 with value (4 15)         68 with value (4 46)          11 with value (4 77)
% 105.72/105.89  ;   473 with value (4 16)         37 with value (4 47)          25 with value (4 78)
% 105.72/105.89  ;   388 with value (4 17)         65 with value (4 48)          25 with value (4 79)
% 105.72/105.89  ;   366 with value (4 18)         35 with value (4 49)          16 with value (4 80)
% 105.72/105.89  ;   426 with value (4 19)         34 with value (4 50)          15 with value (4 81)
% 105.72/105.89  ;   474 with value (4 20)         85 with value (4 51)          21 with value (4 82)
% 105.72/105.89  ;   397 with value (4 21)         40 with value (4 52)          21 with value (4 83)
% 105.72/105.89  ;   296 with value (4 22)         58 with value (4 53)          10 with value (4 84)
% 105.72/105.89  ;   334 with value (4 23)         47 with value (4 54)          37 with value (4 85)
% 105.72/105.89  ;   315 with value (4 24)         55 with value (4 55)          17 with value (4 86)
% 105.72/105.89  ;   618 with value (4 25)         57 with value (4 56)           1 with value (4 87)
% 105.72/105.89  ;   335 with value (4 26)         35 with value (4 57)          13 with value (4 88)
% 105.72/105.89  ;   324 with value (4 27)         22 with value (4 58)           6 with value (4 89)
% 105.72/105.89  ;   233 with value (4 28)         37 with value (4 59)           2 with value (4 90)
% 105.72/105.89  ;   217 with value (4 29)         51 with value (4 60)          19 with value (4 91)
% 105.72/105.89  ;   260 with value (4 30)         31 with value (4 61)           4 with value (4 92)
% 105.72/105.89  ;   307 with value (4 31)         38 with value (4 62)           9 with value (4 93)
% 105.72/105.89  ;   149 with value (4 32)         23 with value (4 63)           9 with value (4 95)
% 105.72/105.89  ;   167 with value (4 33)         14 with value (4 64)           5 with value (4 96)
% 105.72/105.89  ;   171 with value (4 34)         30 with value (4 65)           6 with value (4 97)
% 105.72/105.89  ;   143 with value (4 35)          4 with value (4 66)           2 with value (4 98)
% 105.72/105.89  ;   108 with value (4 36)         25 with value (4 67)           8 with value (4 101)
% 105.72/105.89  ;    86 with value (4 37)         27 with value (4 68)           4 with value (4 103)
% 105.72/105.89  ;    80 with value (4 38)         18 with value (4 69)           4 with value (4 104)
% 105.72/105.89  ;    58 with value (4 39)         10 with value (4 70)           2 with value (4 106)
% 105.72/105.89  Evaluation took:
% 105.72/105.89    105.41 seconds of real time
% 105.72/105.89    93.109474 seconds of user run time
% 105.72/105.89    12.299516 seconds of system run time
% 105.72/105.89    [Run times include 9.026 seconds GC run time.]
% 105.72/105.89    0 calls to %EVAL
% 105.72/105.89    0 page faults and
% 105.72/105.89    4,831,415,448 bytes consed.
% 105.72/105.89  :PROOF-FOUND
% 105.72/105.89  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T18:32:59
% 105.72/105.89  :PROOF-FOUND
% 105.72/105.89  * 
%------------------------------------------------------------------------------