TSTP Solution File: SWW345+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW345+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 7.01s
% Output   : Refutation 6.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7823,hypothesis,
    ( ~ v_P(X,Y)
    | ~ c_Natural_Oevaln(v_c,Y,v_n,Z)
    | v_Q(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

cnf(7824,hypothesis,
    ( ~ v_Q(X,Y)
    | ~ c_Natural_Oevaln(v_d,Y,v_n,Z)
    | v_R(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

cnf(7825,hypothesis,
    v_P(v_Z,v_s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

cnf(7826,hypothesis,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

cnf(7827,hypothesis,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

cnf(7828,negated_conjecture,
    ~ v_R(v_Z,v_s_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

cnf(10278,plain,
    v_Q(v_Z,v_s1),
    inference('HYPERRESOLVE',[status(thm)],[7823,7825,7826]) ).

cnf(10279,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7824,7827,7828]),10278]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW345+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % 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 : Sun Jun  5 17:42:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T17:42:36
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-05T17:42:36
% 1.51/1.73  
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__image__simple__idem| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Big__Operators_Osemilattice__big| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Big__Operators_Ocomm__monoid__big| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__image| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__idem| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__one__idem| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__image__simple| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Finite__Set_Ofolding__one| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Rings_Oinverse| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Fields_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Fields_Ofield__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Rings_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Rings_Odivision__ring__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.62/1.79  WARNING:
% 1.62/1.79     |c_Nat__Transfer_Otransfer__morphism| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 6.79/7.01  ; Recognized relation function assertion (|c_Relation_Orefl__on| ?X ?Y (|c_Relation_OId__on| ?X ?Y)).
% 6.79/7.01  
% 6.79/7.01  #||
% 6.79/7.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.79/7.01  % SZS output start Refutation
% See solution above
% 6.79/7.01  ||#
% 6.79/7.01  
% 6.79/7.01  ; Summary of computation:
% 6.79/7.01  ;     20942 formulas have been input or derived (from 629 formulas).
% 6.79/7.01  ;     10279 (49%) were retained.  Of these,
% 6.84/7.01  ;         3170 (31%) were simplified or subsumed later,
% 6.84/7.01  ;         7109 (69%) are still being kept.
% 6.84/7.01  ; 
% 6.84/7.01  ; Run time in seconds excluding printing time:
% 6.84/7.01  ;     1.152  18%   Read assertion file          (1 call)
% 6.84/7.01  ;     0.134   2%   Assert                       (5,211 calls)
% 6.84/7.01  ;     1.518  23%   Process new row              (16,146 calls)
% 6.84/7.01  ;     0.488   7%   Resolution                   (1,256 calls)
% 6.84/7.01  ;     0.042   1%   Paramodulation               (628 calls)
% 6.84/7.01  ;     0.000   0%   Factoring                    (2 calls)
% 6.84/7.01  ;     0.178   3%   Condensing                   (6,251 calls)
% 6.84/7.01  ;     0.719  11%   Forward subsumption          (6,251 calls)
% 6.84/7.01  ;     0.684  10%   Backward subsumption         (5,389 calls)
% 6.84/7.01  ;     0.029   0%   Clause clause subsumption    (4,830 calls)
% 6.84/7.01  ;     0.650  10%   Forward simplification       (15,784 calls)
% 6.84/7.01  ;     0.312   5%   Backward simplification      (8,490 calls)
% 6.84/7.01  ;     0.532   8%   Ordering                     (9,441 calls)
% 6.84/7.01  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.84/7.01  ;     0.013   0%   Purity testing               (1 call)
% 6.84/7.01  ;     0.089   1%   Other
% 6.84/7.01  ;     6.540        Total
% 6.84/7.01  ;     6.541        Real time
% 6.84/7.02  ; 
% 6.84/7.02  ; Term-hash-array has 27,841 terms in all.
% 6.84/7.02  ; Feature-vector-row-index has 4,412 entries (4,417 at peak, 5,389 added, 977 deleted).
% 6.84/7.02  ; Feature-vector-row-index has 60,864 nodes (60,918 at peak, 78,814 added, 17,950 deleted).
% 6.84/7.02  ;  Retrieved 7,336 possibly forward subsuming rows in 6,251 calls.
% 6.84/7.02  ;  Retrieved 1,725 possibly backward subsumed rows in 5,389 calls.
% 6.84/7.02  ; Path-index has 24,869 entries (24,869 at peak, 30,141 added, 5,272 deleted).
% 6.84/7.02  ; Path-index has 130,503 nodes (130,503 at peak, 142,614 added, 12,111 deleted).
% 6.84/7.02  ; Trie-index has 24,869 entries (24,869 at peak, 30,141 added, 5,272 deleted).
% 6.84/7.02  ; Trie-index has 192,070 nodes (192,070 at peak, 242,725 added, 50,655 deleted).
% 6.84/7.02  ; Retrieved 24,265 generalization terms in 112,769 calls.
% 6.84/7.02  ; Retrieved 5,792 instance terms in 3,781 calls.
% 6.84/7.02  ; Retrieved 760,990 unifiable terms in 6,369 calls.
% 6.84/7.02  ; 
% 6.84/7.02  ; The agenda of input rows to give has 5231 entries:
% 6.84/7.02  ;    15 with value 14             17 with value 73               2 with value 142
% 6.84/7.02  ;    98 with value 15             18 with value 74               2 with value 143
% 6.84/7.02  ;   104 with value 16             18 with value 75               2 with value 144
% 6.84/7.02  ;   126 with value 17             18 with value 76               1 with value 147
% 6.84/7.02  ;    95 with value 18             15 with value 77               1 with value 149
% 6.84/7.02  ;   143 with value 19             13 with value 78               1 with value 150
% 6.84/7.02  ;   115 with value 20             16 with value 79               1 with value 151
% 6.84/7.02  ;   118 with value 21             10 with value 80               7 with value 153
% 6.84/7.02  ;   118 with value 22             16 with value 81               2 with value 156
% 6.84/7.02  ;   180 with value 23              9 with value 82               4 with value 164
% 6.84/7.02  ;   133 with value 24             13 with value 83               1 with value 168
% 6.84/7.02  ;   131 with value 25             18 with value 84               1 with value 171
% 6.84/7.02  ;   147 with value 26              7 with value 85               1 with value 174
% 6.84/7.02  ;   107 with value 27              6 with value 86               1 with value 175
% 6.84/7.02  ;   124 with value 28              5 with value 87               1 with value 176
% 6.84/7.02  ;   185 with value 29             16 with value 88               4 with value 178
% 6.84/7.02  ;   127 with value 30              9 with value 89               1 with value 182
% 6.84/7.02  ;   119 with value 31             12 with value 90               1 with value 186
% 6.84/7.02  ;   160 with value 32              7 with value 91               3 with value 187
% 6.84/7.02  ;   121 with value 33              6 with value 92               2 with value 189
% 6.84/7.02  ;   155 with value 34              6 with value 93               2 with value 193
% 6.84/7.02  ;    94 with value 35              3 with value 94               1 with value 195
% 6.84/7.02  ;    81 with value 36              7 with value 95               3 with value 197
% 6.84/7.02  ;   136 with value 37              1 with value 96               1 with value 198
% 6.84/7.02  ;    88 with value 38              4 with value 97               5 with value 201
% 6.84/7.02  ;    93 with value 39             10 with value 98               2 with value 207
% 6.84/7.02  ;   100 with value 40              3 with value 99               1 with value 210
% 6.84/7.02  ;    82 with value 41              4 with value 100              1 with value 211
% 6.84/7.02  ;    97 with value 42              2 with value 101              2 with value 213
% 6.84/7.02  ;    73 with value 43              2 with value 102              1 with value 219
% 6.84/7.02  ;    68 with value 44              1 with value 103              4 with value 221
% 6.84/7.02  ;   103 with value 45              1 with value 104              1 with value 232
% 6.84/7.02  ;   121 with value 46              6 with value 105              1 with value 243
% 6.84/7.02  ;    36 with value 47             11 with value 106              1 with value 253
% 6.84/7.02  ;    71 with value 48              7 with value 107              1 with value 254
% 6.84/7.02  ;    93 with value 49              2 with value 108              1 with value 255
% 6.84/7.02  ;    60 with value 50              3 with value 109              1 with value 265
% 6.84/7.02  ;    48 with value 51              2 with value 111              1 with value 284
% 6.84/7.02  ;    57 with value 52              3 with value 112              1 with value 305
% 6.84/7.02  ;    37 with value 53              3 with value 114              1 with value 306
% 6.84/7.02  ;    42 with value 54              8 with value 115              3 with value 322
% 6.84/7.02  ;    41 with value 55              2 with value 116              2 with value 328
% 6.84/7.02  ;    38 with value 56              3 with value 117              1 with value 332
% 6.84/7.02  ;    40 with value 57              4 with value 118              1 with value 340
% 6.84/7.02  ;    39 with value 58              2 with value 119              1 with value 345
% 6.84/7.02  ;    46 with value 59              2 with value 120              1 with value 346
% 6.84/7.02  ;    28 with value 60              2 with value 122              1 with value 351
% 6.84/7.02  ;    28 with value 61              2 with value 123              1 with value 357
% 6.84/7.02  ;    14 with value 62              6 with value 124              1 with value 363
% 6.84/7.02  ;    15 with value 63              1 with value 125              1 with value 366
% 6.84/7.02  ;    39 with value 64              1 with value 126              1 with value 375
% 6.84/7.02  ;    19 with value 65              3 with value 127              2 with value 386
% 6.84/7.02  ;    21 with value 66              3 with value 128              1 with value 388
% 6.84/7.02  ;    28 with value 67              2 with value 129              2 with value 405
% 6.84/7.02  ;    25 with value 68              4 with value 130              1 with value 407
% 6.84/7.02  ;    36 with value 69              4 with value 134              1 with value 411
% 6.84/7.02  ;    32 with value 70              2 with value 137              1 with value 417
% 6.84/7.02  ;    23 with value 71              5 with value 139              1 with value 420
% 6.84/7.02  ;    36 with value 72              1 with value 141              1 with value 422
% 6.84/7.02  ; The agenda of rows to give has 1252 entries:
% 6.84/7.02  ;     4 with value (4 4)          63 with value (4 10)         207 with value (4 16)
% 6.84/7.02  ;     5 with value (4 5)          81 with value (4 11)          95 with value (4 17)
% 6.84/7.02  ;     3 with value (4 6)         100 with value (4 12)          78 with value (4 18)
% 6.84/7.02  ;    76 with value (4 7)         160 with value (4 13)          49 with value (4 19)
% 6.84/7.02  ;    21 with value (4 8)         117 with value (4 14)          27 with value (4 20)
% 6.84/7.02  ;    28 with value (4 9)         135 with value (4 15)           3 with value (4 21)
% 6.84/7.02  Evaluation took:
% 6.84/7.02    6.549 seconds of real time
% 6.84/7.02    6.17569 seconds of user run time
% 6.84/7.02    0.372849 seconds of system run time
% 6.84/7.02    [Run times include 1.391 seconds GC run time.]
% 6.84/7.02    0 calls to %EVAL
% 6.84/7.02    0 page faults and
% 6.84/7.02    517,373,608 bytes consed.
% 6.84/7.02  :PROOF-FOUND
% 6.84/7.02  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T17:42:42
% 6.84/7.02  :PROOF-FOUND
% 6.84/7.02  * 
%------------------------------------------------------------------------------