TSTP Solution File: SWW342+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 01:24:55 EDT 2022

% Result   : Theorem 6.79s 6.97s
% Output   : Refutation 6.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X,Y,Z)
    | Z = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I1_J) ).

cnf(7880,negated_conjecture,
    v_P('SKOLEMAAAV508','SKOLEMAAAV509'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

cnf(7881,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,'SKOLEMAAAV509',v_n,'SKOLEMAAAV510'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

cnf(7882,negated_conjecture,
    ~ v_P('SKOLEMAAAV508','SKOLEMAAAV510'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

cnf(9259,plain,
    'SKOLEMAAAV510' = 'SKOLEMAAAV509',
    inference('HYPERRESOLVE',[status(thm)],[3,7881]) ).

cnf(9260,plain,
    $false,
    inference('REWRITE',[status(thm)],[7882,7880,9259,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Mon Jun  6 09:46:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T09:46:35
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-06T09:46:35
% 1.53/1.74  
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__image__simple__idem| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Big__Operators_Osemilattice__big| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__idem| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__image| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__one__idem| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Big__Operators_Ocomm__monoid__big| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__image__simple| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Finite__Set_Ofolding__one| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Rings_Oinverse| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Fields_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Fields_Ofield__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Rings_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Rings_Odivision__ring__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.65/1.81  WARNING:
% 1.65/1.81     |c_Nat__Transfer_Otransfer__morphism| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 6.79/6.97  ; Recognized relation function assertion (|c_Relation_Orefl__on| ?X ?Y (|c_Relation_OId__on| ?X ?Y)).
% 6.79/6.97  
% 6.79/6.97  #||
% 6.79/6.97  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.79/6.97  % SZS output start Refutation
% See solution above
% 6.79/6.97  ||#
% 6.79/6.97  
% 6.79/6.97  ; Summary of computation:
% 6.79/6.97  ;     10897 formulas have been input or derived (from 298 formulas).
% 6.79/6.97  ;      9260 (85%) were retained.  Of these,
% 6.79/6.97  ;         3323 (36%) were simplified or subsumed later,
% 6.79/6.97  ;         5937 (64%) are still being kept.
% 6.79/6.97  ; 
% 6.79/6.97  ; Run time in seconds excluding printing time:
% 6.79/6.97  ;     1.167  18%   Read assertion file          (1 call)
% 6.79/6.97  ;     0.140   2%   Assert                       (5,206 calls)
% 6.79/6.97  ;     1.447  22%   Process new row              (8,993 calls)
% 6.79/6.97  ;     0.050   1%   Resolution                   (594 calls)
% 6.79/6.97  ;     0.003   0%   Paramodulation               (297 calls)
% 6.79/6.97  ;     0.000   0%   Factoring                    (1 call)
% 6.79/6.97  ;     0.090   1%   Condensing                   (6,281 calls)
% 6.79/6.97  ;     0.982  15%   Forward subsumption          (6,281 calls)
% 6.79/6.97  ;     0.920  14%   Backward subsumption         (5,430 calls)
% 6.79/6.97  ;     0.035   1%   Clause clause subsumption    (5,008 calls)
% 6.79/6.97  ;     0.519   8%   Forward simplification       (8,631 calls)
% 6.79/6.97  ;     0.473   7%   Backward simplification      (7,418 calls)
% 6.79/6.97  ;     0.582   9%   Ordering                     (8,798 calls)
% 6.79/6.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.79/6.97  ;     0.015   0%   Purity testing               (1 call)
% 6.79/6.97  ;     0.076   1%   Other
% 6.79/6.97  ;     6.499        Total
% 6.79/6.97  ;     6.501        Real time
% 6.79/6.97  ; 
% 6.79/6.98  ; Term-hash-array has 26,099 terms in all.
% 6.79/6.98  ; Feature-vector-row-index has 4,407 entries (4,407 at peak, 5,430 added, 1,023 deleted).
% 6.79/6.98  ; Feature-vector-row-index has 59,329 nodes (59,329 at peak, 79,549 added, 20,220 deleted).
% 6.79/6.98  ;  Retrieved 8,240 possibly forward subsuming rows in 6,281 calls.
% 6.79/6.98  ;  Retrieved 2,824 possibly backward subsumed rows in 5,430 calls.
% 6.79/6.98  ; Path-index has 22,622 entries (22,624 at peak, 29,113 added, 6,491 deleted).
% 6.79/6.98  ; Path-index has 129,578 nodes (129,582 at peak, 148,872 added, 19,294 deleted).
% 6.79/6.98  ; Trie-index has 22,622 entries (22,624 at peak, 29,113 added, 6,491 deleted).
% 6.79/6.98  ; Trie-index has 185,746 nodes (185,750 at peak, 266,623 added, 80,877 deleted).
% 6.79/6.98  ; Retrieved 13,965 generalization terms in 84,904 calls.
% 6.79/6.98  ; Retrieved 4,353 instance terms in 2,690 calls.
% 6.79/6.98  ; Retrieved 62,405 unifiable terms in 1,356 calls.
% 6.79/6.98  ; 
% 6.79/6.98  ; The agenda of rows to process has 46 entries:
% 6.79/6.98  ;     2 with value 5               6 with value 9                8 with value 11
% 6.79/6.98  ;     2 with value 7              16 with value 10              12 with value 12
% 6.79/6.98  ; The agenda of input rows to give has 5574 entries:
% 6.79/6.98  ;    56 with value 10             23 with value 71               2 with value 142
% 6.79/6.98  ;    58 with value 11             36 with value 72               2 with value 143
% 6.79/6.98  ;    60 with value 12             17 with value 73               2 with value 144
% 6.79/6.98  ;   110 with value 13             18 with value 74               1 with value 147
% 6.79/6.98  ;    69 with value 14             18 with value 75               1 with value 149
% 6.79/6.98  ;    98 with value 15             18 with value 76               1 with value 150
% 6.79/6.98  ;   103 with value 16             16 with value 77               1 with value 151
% 6.79/6.98  ;   126 with value 17             13 with value 78               7 with value 153
% 6.79/6.98  ;    93 with value 18             16 with value 79               2 with value 156
% 6.79/6.98  ;   143 with value 19             10 with value 80               4 with value 164
% 6.79/6.98  ;   113 with value 20             16 with value 81               1 with value 168
% 6.79/6.98  ;   119 with value 21              9 with value 82               1 with value 171
% 6.79/6.98  ;   120 with value 22             13 with value 83               1 with value 174
% 6.79/6.98  ;   177 with value 23             18 with value 84               2 with value 175
% 6.79/6.98  ;   132 with value 24              7 with value 85               1 with value 176
% 6.79/6.98  ;   131 with value 25              6 with value 86               4 with value 178
% 6.79/6.98  ;   147 with value 26              5 with value 87               1 with value 182
% 6.79/6.98  ;   108 with value 27             16 with value 88               1 with value 186
% 6.79/6.98  ;   124 with value 28              9 with value 89               3 with value 187
% 6.79/6.98  ;   183 with value 29             12 with value 90               2 with value 189
% 6.79/6.98  ;   129 with value 30              7 with value 91               2 with value 193
% 6.79/6.98  ;   116 with value 31              6 with value 92               1 with value 195
% 6.79/6.98  ;   158 with value 32              6 with value 93               3 with value 197
% 6.79/6.98  ;   121 with value 33              3 with value 94               1 with value 198
% 6.79/6.98  ;   156 with value 34              7 with value 95               5 with value 201
% 6.79/6.98  ;    95 with value 35              1 with value 96               2 with value 207
% 6.79/6.98  ;    81 with value 36              5 with value 97               1 with value 210
% 6.79/6.98  ;   135 with value 37             10 with value 98               1 with value 211
% 6.79/6.98  ;    86 with value 38              3 with value 99               2 with value 213
% 6.79/6.98  ;    92 with value 39              4 with value 100              1 with value 219
% 6.79/6.98  ;   100 with value 40              2 with value 101              4 with value 221
% 6.79/6.98  ;    83 with value 41              2 with value 102              1 with value 227
% 6.79/6.98  ;   100 with value 42              1 with value 103              1 with value 232
% 6.79/6.98  ;    73 with value 43              2 with value 104              1 with value 243
% 6.79/6.98  ;    67 with value 44              6 with value 105              1 with value 253
% 6.79/6.98  ;   103 with value 45             11 with value 106              1 with value 254
% 6.79/6.98  ;   121 with value 46              7 with value 107              1 with value 255
% 6.79/6.98  ;    37 with value 47              2 with value 108              1 with value 265
% 6.79/6.98  ;    72 with value 48              3 with value 109              1 with value 284
% 6.79/6.98  ;    92 with value 49              2 with value 111              1 with value 286
% 6.79/6.98  ;    61 with value 50              3 with value 112              1 with value 305
% 6.79/6.98  ;    48 with value 51              2 with value 114              1 with value 306
% 6.79/6.98  ;    58 with value 52              8 with value 115              3 with value 322
% 6.79/6.98  ;    40 with value 53              2 with value 116              2 with value 328
% 6.79/6.98  ;    43 with value 54              3 with value 117              1 with value 332
% 6.79/6.98  ;    43 with value 55              4 with value 118              1 with value 340
% 6.79/6.98  ;    38 with value 56              2 with value 119              1 with value 345
% 6.79/6.98  ;    41 with value 57              2 with value 120              1 with value 346
% 6.79/6.98  ;    39 with value 58              2 with value 122              1 with value 351
% 6.79/6.98  ;    45 with value 59              2 with value 123              1 with value 363
% 6.79/6.98  ;    28 with value 60              6 with value 124              1 with value 366
% 6.79/6.98  ;    27 with value 61              1 with value 125              1 with value 375
% 6.79/6.98  ;    15 with value 62              1 with value 126              2 with value 386
% 6.79/6.98  ;    14 with value 63              3 with value 127              1 with value 388
% 6.79/6.98  ;    39 with value 64              3 with value 128              2 with value 405
% 6.79/6.98  ;    19 with value 65              2 with value 129              1 with value 407
% 6.79/6.98  ;    21 with value 66              4 with value 130              1 with value 411
% 6.79/6.98  ;    28 with value 67              4 with value 134              1 with value 417
% 6.79/6.98  ;    26 with value 68              2 with value 137              1 with value 420
% 6.79/6.98  ;    36 with value 69              5 with value 139              1 with value 422
% 6.79/6.98  ;    33 with value 70              1 with value 141
% 6.79/6.98  ; The agenda of rows to give has 67 entries:
% 6.79/6.98  ;     4 with value (4 5)           2 with value (4 8)            1 with value (4 12)
% 6.79/6.98  ;     2 with value (4 6)           2 with value (4 9)            2 with value (4 13)
% 6.79/6.98  ;    50 with value (4 7)           4 with value (4 10)
% 6.79/6.98  Evaluation took:
% 6.79/6.98    6.509 seconds of real time
% 6.79/6.98    6.108755 seconds of user run time
% 6.79/6.98    0.400135 seconds of system run time
% 6.79/6.98    [Run times include 1.497 seconds GC run time.]
% 6.79/6.98    0 calls to %EVAL
% 6.79/6.98    0 page faults and
% 6.79/6.98    492,275,408 bytes consed.
% 6.79/6.98  :PROOF-FOUND
% 6.79/6.98  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T09:46:42
% 6.79/6.98  :PROOF-FOUND
% 6.79/6.98  * 
%------------------------------------------------------------------------------