TSTP Solution File: ITP299_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 : n025.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 3.95s 4.13s
% Output   : Refutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    4 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    1 (   0 sgn   1   !;   0   ?;   1   :)

% Comments : 
%------------------------------------------------------------------------------
tff(60,negated_conjecture,
    ~ 'interpretation$'('canonicalInterpretation$'('t$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture27) ).

tff(61,axiom,
    'zFAxioms$'('t$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom28) ).

tff(62,axiom,
    ! [X: 'ZF_ZF_unit_Axioms_ext$'] :
      ( ~ 'zFAxioms$'(X)
      | 'interpretation$'('canonicalInterpretation$'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom29) ).

cnf(8463,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[62,61,60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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 18:47:31 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-03T18:47:31
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-03T18:47:31
% 0.76/0.94  WARNING:
% 0.76/0.94     |axioms$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.76/0.94  WARNING:
% 0.76/0.94     |inj_on$b| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.94  WARNING:
% 0.76/0.94     |inj_on$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.94  WARNING:
% 0.76/0.94     |inj_on$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.94  WARNING:
% 0.76/0.94     |inj_on$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 3.95/4.13  
% 3.95/4.13  
% 3.95/4.13  #||
% 3.95/4.13  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.95/4.13  % SZS output start Refutation
% See solution above
% 3.95/4.13  ||#
% 3.95/4.13  
% 3.95/4.13  ; Summary of computation:
% 3.95/4.13  ;      9482 formulas have been input or derived (from 23 formulas).
% 3.95/4.13  ;      8463 (89%) were retained.  Of these,
% 3.95/4.13  ;          471 ( 6%) were simplified or subsumed later,
% 3.95/4.13  ;         7992 (94%) are still being kept.
% 3.95/4.13  ; 
% 3.95/4.13  ; Run time in seconds excluding printing time:
% 3.95/4.13  ;     0.235   6%   Read assertion file          (1 call)
% 3.95/4.13  ;     0.178   5%   Assert                       (568 calls)
% 3.95/4.13  ;     0.972  27%   Process new row              (9,011 calls)
% 3.95/4.13  ;     0.031   1%   Resolution                   (44 calls)
% 3.95/4.13  ;     0.000   0%   Paramodulation               (22 calls)
% 3.95/4.13  ;     0.169   5%   Condensing                   (7,989 calls)
% 3.95/4.13  ;     1.011  28%   Forward subsumption          (7,989 calls)
% 3.95/4.13  ;     0.610  17%   Backward subsumption         (7,862 calls)
% 3.95/4.13  ;     0.008   0%   Clause clause subsumption    (1,220 calls)
% 3.95/4.13  ;     0.296   8%   Forward simplification       (8,129 calls)
% 3.95/4.13  ;     0.006   0%   Backward simplification      (7,997 calls)
% 3.95/4.13  ;     0.036   1%   Ordering                     (2,349 calls)
% 3.95/4.13  ;     0.002   0%   Sortal reasoning             (769 calls)
% 3.95/4.13  ;     0.036   1%   Purity testing               (1 call)
% 3.95/4.13  ;     0.054   1%   Other
% 3.95/4.13  ;     3.644        Total
% 3.95/4.13  ;     3.646        Real time
% 3.95/4.13  ; 
% 3.95/4.14  ; Term-hash-array has 4,824 terms in all.
% 3.95/4.14  ; Feature-vector-row-index has 7,857 entries (7,857 at peak, 7,862 added, 5 deleted).
% 3.95/4.14  ; Feature-vector-row-index has 153,074 nodes (153,074 at peak, 153,141 added, 67 deleted).
% 3.95/4.14  ;  Retrieved 4,843 possibly forward subsuming rows in 7,989 calls.
% 3.95/4.14  ;  Retrieved 902 possibly backward subsumed rows in 7,862 calls.
% 3.95/4.14  ; Path-index has 4,848 entries (4,848 at peak, 4,849 added, 1 deleted).
% 3.95/4.14  ; Path-index has 28,884 nodes (28,884 at peak, 28,884 added, 0 deleted).
% 3.95/4.14  ; Trie-index has 4,848 entries (4,848 at peak, 4,849 added, 1 deleted).
% 3.95/4.14  ; Trie-index has 21,854 nodes (21,854 at peak, 21,855 added, 1 deleted).
% 3.95/4.14  ; Retrieved 2,208 generalization terms in 27,877 calls.
% 3.95/4.14  ; Retrieved 143 instance terms in 143 calls.
% 3.95/4.14  ; Retrieved 8,011 unifiable terms in 90 calls.
% 3.95/4.14  ; 
% 3.95/4.14  ; The agenda of rows to process has 2 entries:
% 3.95/4.14  ;     1 with value 4               1 with value 6
% 3.95/4.14  ; The agenda of input rows to give has 7966 entries:
% 3.95/4.14  ;    41 with value 8             102 with value 52              26 with value 96
% 3.95/4.14  ;     7 with value 9              72 with value 53              50 with value 97
% 3.95/4.14  ;    40 with value 10             64 with value 54              40 with value 98
% 3.95/4.14  ;    27 with value 11             78 with value 55              38 with value 99
% 3.95/4.14  ;    57 with value 12            120 with value 56             104 with value 100
% 3.95/4.14  ;     9 with value 13             98 with value 57             144 with value 101
% 3.95/4.14  ;    35 with value 14            127 with value 58             170 with value 102
% 3.95/4.14  ;    23 with value 15            119 with value 59             168 with value 103
% 3.95/4.14  ;    25 with value 16            137 with value 60             128 with value 104
% 3.95/4.14  ;    65 with value 17            101 with value 61             146 with value 105
% 3.95/4.14  ;    13 with value 18            101 with value 62             106 with value 106
% 3.95/4.14  ;    58 with value 19            110 with value 63              90 with value 107
% 3.95/4.14  ;    38 with value 20             52 with value 64              84 with value 108
% 3.95/4.14  ;    49 with value 21             58 with value 65             110 with value 109
% 3.95/4.14  ;    23 with value 22             52 with value 66             110 with value 110
% 3.95/4.14  ;    18 with value 23             36 with value 67             166 with value 111
% 3.95/4.14  ;    11 with value 24             32 with value 68             200 with value 112
% 3.95/4.14  ;    45 with value 25             32 with value 69             174 with value 113
% 3.95/4.14  ;     4 with value 26             29 with value 70             214 with value 114
% 3.95/4.14  ;    41 with value 27             50 with value 71             162 with value 115
% 3.95/4.14  ;    16 with value 28             36 with value 72             176 with value 116
% 3.95/4.14  ;     5 with value 29             30 with value 73             170 with value 117
% 3.95/4.14  ;    20 with value 30             48 with value 74             124 with value 118
% 3.95/4.14  ;     7 with value 31             38 with value 75              68 with value 119
% 3.95/4.14  ;    24 with value 32             24 with value 76              68 with value 120
% 3.95/4.14  ;    13 with value 33             33 with value 77              64 with value 121
% 3.95/4.14  ;    21 with value 34             54 with value 78              42 with value 122
% 3.95/4.14  ;    43 with value 35             24 with value 79              64 with value 123
% 3.95/4.14  ;    35 with value 36             24 with value 80              56 with value 124
% 3.95/4.14  ;    18 with value 37             22 with value 81              94 with value 125
% 3.95/4.14  ;    55 with value 38             68 with value 82              98 with value 126
% 3.95/4.14  ;    23 with value 39             38 with value 83              92 with value 127
% 3.95/4.14  ;    39 with value 40             38 with value 84              64 with value 128
% 3.95/4.14  ;     5 with value 41             26 with value 85              44 with value 129
% 3.95/4.14  ;    63 with value 42             70 with value 86              36 with value 130
% 3.95/4.14  ;    29 with value 43             24 with value 87              28 with value 131
% 3.95/4.14  ;    63 with value 44             22 with value 88              16 with value 132
% 3.95/4.14  ;    29 with value 45             48 with value 89               2 with value 133
% 3.95/4.14  ;   100 with value 46             42 with value 90              10 with value 136
% 3.95/4.14  ;    69 with value 47             32 with value 91              20 with value 137
% 3.95/4.14  ;   108 with value 48             28 with value 92              36 with value 138
% 3.95/4.14  ;    61 with value 49             64 with value 93              28 with value 139
% 3.95/4.14  ;   122 with value 50             24 with value 94              12 with value 140
% 3.95/4.14  ;    60 with value 51             38 with value 95               2 with value 144
% 3.95/4.14  ; The agenda of rows to give has 3 entries:
% 3.95/4.14  ;     2 with value (4 4)           1 with value (4 7)
% 3.95/4.14  Evaluation took:
% 3.95/4.14    3.658 seconds of real time
% 3.95/4.14    3.524175 seconds of user run time
% 3.95/4.14    0.133332 seconds of system run time
% 3.95/4.14    [Run times include 0.428 seconds GC run time.]
% 3.95/4.14    0 calls to %EVAL
% 3.95/4.14    0 page faults and
% 3.95/4.14    434,679,680 bytes consed.
% 3.95/4.14  :PROOF-FOUND
% 3.95/4.14  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T18:47:34
% 3.95/4.14  :PROOF-FOUND
% 3.95/4.14  * 
%------------------------------------------------------------------------------