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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP302_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 00:35:03 EDT 2022

% Result   : Theorem 4.63s 4.82s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    7 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   19 (  19 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   0 sgn   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(314,negated_conjecture,
    ~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture185) ).

tff(315,axiom,
    'lSCategory$'('c$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom186) ).

tff(316,axiom,
    'fun_app$m'('member$b'('f$'),'mor$'('c$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom187) ).

tff(340,axiom,
    ! [X: 'A_b_b_c_LSCategory_ext_Category_ext$',Y: 'B$'] :
      ( ~ 'category$'(X)
      | ~ 'fun_app$m'('member$b'(Y),'mor$'(X))
      | 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X),Y)),'obj$'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom203) ).

tff(362,axiom,
    ! [X: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
      ( ~ 'lSCategory$'(X)
      | 'category$'(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom212) ).

tff(3312,plain,
    'category$'('c$'),
    inference('HYPERRESOLVE',[status(thm)],[362,315]) ).

cnf(7180,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[340,316,314]),3312]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : ITP302_1 : TPTP v8.1.0. Released v8.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Fri Jun  3 03:29:25 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T03:29:25
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-03T03:29:25
% 0.61/0.83  WARNING:
% 0.61/0.83     |less_eq$d| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |less_eq$i| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |preFunctor$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functorM$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functorM$b| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functorM$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functor$b| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functor$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functor_abbrev$| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functorM$c| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |preFunctor$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functor$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |functor$c| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.83  WARNING:
% 0.61/0.83     |preFunctor$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.73/2.92  WARNING: Cannot use equality or equivalence (= unity$ ?X.Unit$) as rewrite.
% 4.63/4.82  
% 4.63/4.82  
% 4.63/4.82  #||
% 4.63/4.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/4.82  % SZS output start Refutation
% See solution above
% 4.63/4.82  ||#
% 4.63/4.82  
% 4.63/4.82  ; Summary of computation:
% 4.63/4.82  ;     12563 formulas have been input or derived (from 688 formulas).
% 4.63/4.82  ;      7180 (57%) were retained.  Of these,
% 4.63/4.82  ;         1446 (20%) were simplified or subsumed later,
% 4.63/4.82  ;         5734 (80%) are still being kept.
% 4.63/4.82  ; 
% 4.63/4.82  ; Run time in seconds:
% 4.63/4.82  ;     0.257   6%   Read assertion file          (1 call)
% 4.63/4.82  ;     0.046   1%   Assert                       (824 calls)
% 4.63/4.82  ;     1.072  25%   Process new row              (11,492 calls)
% 4.63/4.82  ;     0.401   9%   Resolution                   (1,374 calls)
% 4.63/4.82  ;     0.095   2%   Paramodulation               (687 calls)
% 4.63/4.82  ;     0.000   0%   Factoring                    (35 calls)
% 4.63/4.82  ;     0.178   4%   Condensing                   (5,013 calls)
% 4.63/4.82  ;     0.566  13%   Forward subsumption          (5,013 calls)
% 4.63/4.82  ;     0.504  12%   Backward subsumption         (4,306 calls)
% 4.63/4.82  ;     0.025   1%   Clause clause subsumption    (3,167 calls)
% 4.63/4.82  ;     0.407   9%   Forward simplification       (11,359 calls)
% 4.63/4.82  ;     0.098   2%   Backward simplification      (6,342 calls)
% 4.63/4.82  ;     0.535  12%   Ordering                     (63,203 calls)
% 4.63/4.82  ;     0.048   1%   Sortal reasoning             (73,012 calls)
% 4.63/4.82  ;     0.010   0%   Purity testing               (1 call)
% 4.63/4.82  ;     0.076   2%   Other
% 4.63/4.82  ;     4.318        Total
% 4.63/4.82  ;     4.318        Real time
% 4.63/4.83  ; 
% 4.63/4.83  ; Term-hash-array has 18,495 terms in all.
% 4.63/4.83  ; Feature-vector-row-index has 3,847 entries (3,847 at peak, 4,306 added, 459 deleted).
% 4.63/4.83  ; Feature-vector-row-index has 58,209 nodes (58,209 at peak, 70,284 added, 12,075 deleted).
% 4.63/4.83  ;  Retrieved 5,594 possibly forward subsuming rows in 5,013 calls.
% 4.63/4.83  ;  Retrieved 2,314 possibly backward subsumed rows in 4,306 calls.
% 4.63/4.83  ; Path-index has 17,922 entries (17,922 at peak, 19,237 added, 1,315 deleted).
% 4.63/4.83  ; Path-index has 69,897 nodes (69,897 at peak, 72,042 added, 2,145 deleted).
% 4.63/4.83  ; Trie-index has 17,922 entries (17,922 at peak, 19,237 added, 1,315 deleted).
% 4.63/4.83  ; Trie-index has 82,200 nodes (82,200 at peak, 87,748 added, 5,548 deleted).
% 4.63/4.83  ; Retrieved 52,458 generalization terms in 75,972 calls.
% 4.63/4.83  ; Retrieved 6,815 instance terms in 4,014 calls.
% 4.63/4.83  ; Retrieved 435,797 unifiable terms in 5,516 calls.
% 4.63/4.83  ; 
% 4.63/4.83  ; The agenda of rows to process has 3 entries:
% 4.63/4.83  ;     2 with value 28              1 with value 45
% 4.63/4.83  ; The agenda of input rows to give has 1632 entries:
% 4.63/4.83  ;    72 with value 22              2 with value 61              20 with value 113
% 4.63/4.83  ;    37 with value 23              1 with value 63               4 with value 114
% 4.63/4.83  ;    69 with value 24              8 with value 70              18 with value 115
% 4.63/4.83  ;    29 with value 25              8 with value 73              30 with value 116
% 4.63/4.83  ;    28 with value 26             16 with value 74              20 with value 117
% 4.63/4.83  ;    31 with value 27             24 with value 77               2 with value 118
% 4.63/4.83  ;    22 with value 28             12 with value 78              20 with value 119
% 4.63/4.83  ;    12 with value 29             28 with value 81              18 with value 120
% 4.63/4.83  ;    28 with value 30             16 with value 82              22 with value 121
% 4.63/4.83  ;    12 with value 31             16 with value 83               4 with value 122
% 4.63/4.83  ;    10 with value 32             20 with value 85              12 with value 123
% 4.63/4.83  ;    13 with value 33             28 with value 86              10 with value 124
% 4.63/4.83  ;     4 with value 34             40 with value 87              24 with value 125
% 4.63/4.83  ;    28 with value 35             12 with value 89              12 with value 126
% 4.63/4.83  ;     8 with value 36             44 with value 90               8 with value 127
% 4.63/4.83  ;     7 with value 37             40 with value 91               6 with value 128
% 4.63/4.83  ;    11 with value 38              4 with value 93              14 with value 129
% 4.63/4.83  ;    12 with value 39             52 with value 94              14 with value 130
% 4.63/4.83  ;     5 with value 40             40 with value 95               4 with value 131
% 4.63/4.83  ;     3 with value 41             16 with value 96               8 with value 132
% 4.63/4.83  ;     9 with value 42             36 with value 98               8 with value 133
% 4.63/4.83  ;     3 with value 43             44 with value 99              10 with value 134
% 4.63/4.83  ;     3 with value 44             40 with value 100              4 with value 135
% 4.63/4.83  ;     3 with value 46             24 with value 102              6 with value 136
% 4.63/4.83  ;     4 with value 47             38 with value 103              4 with value 137
% 4.63/4.83  ;     2 with value 48             40 with value 104              6 with value 138
% 4.63/4.83  ;     1 with value 49             16 with value 106              8 with value 139
% 4.63/4.83  ;     4 with value 50             34 with value 107              4 with value 140
% 4.63/4.83  ;     1 with value 51             40 with value 108              2 with value 142
% 4.63/4.83  ;     1 with value 53              8 with value 109              6 with value 143
% 4.63/4.83  ;     2 with value 54              6 with value 110              2 with value 144
% 4.63/4.83  ;     1 with value 57             22 with value 111              4 with value 147
% 4.63/4.83  ;     1 with value 58             44 with value 112              2 with value 151
% 4.63/4.83  ;     1 with value 60
% 4.63/4.83  ; The agenda of rows to give has 3441 entries:
% 4.63/4.83  ;     4 with value (4 4)         110 with value (4 21)          51 with value (4 38)
% 4.63/4.83  ;     2 with value (4 5)         102 with value (4 22)          23 with value (4 39)
% 4.63/4.83  ;     2 with value (4 6)         138 with value (4 23)          31 with value (4 40)
% 4.63/4.83  ;    12 with value (4 7)         214 with value (4 24)          17 with value (4 41)
% 4.63/4.83  ;    27 with value (4 8)         279 with value (4 25)          42 with value (4 42)
% 4.63/4.83  ;     7 with value (4 9)         240 with value (4 26)          17 with value (4 43)
% 4.63/4.83  ;    17 with value (4 10)        207 with value (4 27)          17 with value (4 44)
% 4.63/4.83  ;    18 with value (4 11)        256 with value (4 28)           7 with value (4 45)
% 4.63/4.83  ;    12 with value (4 12)        120 with value (4 29)          11 with value (4 46)
% 4.63/4.83  ;    26 with value (4 13)        150 with value (4 30)           8 with value (4 47)
% 4.63/4.83  ;    29 with value (4 14)        170 with value (4 31)           6 with value (4 48)
% 4.63/4.83  ;    34 with value (4 15)        141 with value (4 32)           1 with value (4 50)
% 4.63/4.83  ;    36 with value (4 16)         99 with value (4 33)           1 with value (4 51)
% 4.63/4.83  ;    65 with value (4 17)         70 with value (4 34)           4 with value (4 53)
% 4.63/4.83  ;    72 with value (4 18)        206 with value (4 35)           2 with value (4 54)
% 4.63/4.83  ;    53 with value (4 19)        105 with value (4 36)           4 with value (4 60)
% 4.63/4.83  ;    91 with value (4 20)         85 with value (4 37)
% 4.63/4.83  Evaluation took:
% 4.63/4.83    4.325 seconds of real time
% 4.63/4.83    3.960724 seconds of user run time
% 4.63/4.83    0.36412 seconds of system run time
% 4.63/4.83    [Run times include 0.706 seconds GC run time.]
% 4.63/4.83    0 calls to %EVAL
% 4.63/4.83    0 page faults and
% 4.63/4.83    350,945,528 bytes consed.
% 4.63/4.83  :PROOF-FOUND
% 4.63/4.83  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T03:29:30
% 4.63/4.83  :PROOF-FOUND
% 4.63/4.83  * 
%------------------------------------------------------------------------------