TSTP Solution File: NUM623+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:12:19 EDT 2022

% Result   : Theorem 169.16s 169.37s
% Output   : Refutation 169.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   22 (   4 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(55,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

cnf(2860,hypothesis,
    ( ~ aElementOf0(X,xQ)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).

cnf(2865,hypothesis,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

cnf(2866,hypothesis,
    ( ~ aElementOf0(X,xQ)
    | sdtlseqdt0(xp,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

cnf(2867,hypothesis,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

cnf(2891,hypothesis,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).

cnf(2892,hypothesis,
    xx != szmzizndt0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).

cnf(2893,plain,
    xx != xp,
    inference('REWRITE',[status(thm)],[2892,2867,theory(equality)]) ).

cnf(2895,hypothesis,
    aElementOf0(xx,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).

cnf(2900,hypothesis,
    ( ~ aElementOf0(X,sdtlpdtrp0(xN,xm))
    | sdtlseqdt0(xx,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).

cnf(2906,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).

cnf(2950,plain,
    aElementOf0(xp,szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[2860,2865]) ).

cnf(2956,plain,
    sdtlseqdt0(xp,xx),
    inference('HYPERRESOLVE',[status(thm)],[2866,2891]) ).

cnf(3057,plain,
    sdtlseqdt0(xx,xp),
    inference('HYPERRESOLVE',[status(thm)],[2900,2906]) ).

cnf(20855,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,2956,2950,2895,2893]),3057]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 16:45:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T16:45:38
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-05T16:45:38
% 169.16/169.37  
% 169.16/169.37  
% 169.16/169.37  #||
% 169.16/169.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.16/169.37  % SZS output start Refutation
% See solution above
% 169.16/169.39  ||#
% 169.16/169.39  
% 169.16/169.39  ; Summary of computation:
% 169.16/169.39  ;     27198 formulas have been input or derived (from 2837 formulas).
% 169.16/169.39  ;     20855 (77%) were retained.  Of these,
% 169.16/169.39  ;          824 ( 4%) were simplified or subsumed later,
% 169.16/169.39  ;        20031 (96%) are still being kept.
% 169.16/169.39  ; 
% 169.16/169.39  ; Run time in seconds excluding printing time:
% 169.16/169.39  ;     0.047   0%   Read assertion file          (1 call)
% 169.16/169.39  ;     0.117   0%   Assert                       (120 calls)
% 169.16/169.39  ;     2.560   2%   Process new row              (26,771 calls)
% 169.16/169.39  ;   150.867  89%   Resolution                   (5,672 calls)
% 169.16/169.39  ;     0.711   0%   Paramodulation               (2,836 calls)
% 169.16/169.39  ;     0.458   0%   Condensing                   (21,757 calls)
% 169.16/169.39  ;    10.855   6%   Forward subsumption          (21,757 calls)
% 169.16/169.39  ;     1.381   1%   Backward subsumption         (18,627 calls)
% 169.16/169.39  ;     0.116   0%   Clause clause subsumption    (18,193 calls)
% 169.16/169.39  ;     1.489   1%   Forward simplification       (26,771 calls)
% 169.16/169.39  ;     0.086   0%   Backward simplification      (20,807 calls)
% 169.16/169.39  ;     0.044   0%   Ordering                     (33,009 calls)
% 169.16/169.39  ;     0.000   0%   Sortal reasoning             (32 calls)
% 169.16/169.39  ;     0.022   0%   Purity testing               (1 call)
% 169.16/169.39  ;     0.171   0%   Other
% 169.16/169.39  ;   168.924        Total
% 169.16/169.39  ;   168.938        Real time
% 169.16/169.39  ; 
% 169.25/169.41  ; Term-hash-array has 22,559 terms in all.
% 169.25/169.41  ; Feature-vector-row-index has 17,913 entries (17,913 at peak, 18,627 added, 714 deleted).
% 169.25/169.41  ; Feature-vector-row-index has 228,530 nodes (228,530 at peak, 233,188 added, 4,658 deleted).
% 169.25/169.41  ;  Retrieved 43,850 possibly forward subsuming rows in 21,757 calls.
% 169.25/169.41  ;  Retrieved 13,261 possibly backward subsumed rows in 18,627 calls.
% 169.25/169.41  ; Path-index has 22,409 entries (22,409 at peak, 23,503 added, 1,094 deleted).
% 169.25/169.41  ; Path-index has 4,453 nodes (4,453 at peak, 4,542 added, 89 deleted).
% 169.25/169.41  ; Trie-index has 22,409 entries (22,409 at peak, 23,503 added, 1,094 deleted).
% 169.25/169.41  ; Trie-index has 41,025 nodes (41,025 at peak, 42,926 added, 1,901 deleted).
% 169.25/169.41  ; Retrieved 24,409 generalization terms in 261,215 calls.
% 169.25/169.41  ; Retrieved 2,179 instance terms in 2,179 calls.
% 169.25/169.41  ; Retrieved 56,341,373 unifiable terms in 1,980,192 calls.
% 169.25/169.41  ; 
% 169.25/169.41  ; The agenda of rows to process has 6 entries:
% 169.25/169.41  ;     1 with value 6               4 with value 9                1 with value 11
% 169.25/169.41  ; The agenda of rows to give has 17194 entries:
% 169.25/169.41  ;    19 with value (4 5)         435 with value (4 41)         197 with value (4 77)
% 169.25/169.41  ;    59 with value (4 6)         385 with value (4 42)         187 with value (4 78)
% 169.25/169.41  ;   154 with value (4 7)         250 with value (4 43)         230 with value (4 79)
% 169.25/169.41  ;   439 with value (4 8)          92 with value (4 44)         183 with value (4 80)
% 169.25/169.41  ;   686 with value (4 9)         119 with value (4 45)         185 with value (4 81)
% 169.25/169.41  ;   160 with value (4 10)        117 with value (4 46)         199 with value (4 82)
% 169.25/169.41  ;   106 with value (4 11)        163 with value (4 47)         196 with value (4 83)
% 169.25/169.41  ;   182 with value (4 12)         37 with value (4 48)         190 with value (4 84)
% 169.25/169.41  ;   232 with value (4 13)         87 with value (4 49)         152 with value (4 85)
% 169.25/169.41  ;   160 with value (4 14)        100 with value (4 50)         171 with value (4 86)
% 169.25/169.41  ;    75 with value (4 15)        129 with value (4 51)         156 with value (4 87)
% 169.25/169.41  ;   139 with value (4 16)         67 with value (4 52)         148 with value (4 88)
% 169.25/169.41  ;   349 with value (4 17)        100 with value (4 53)         161 with value (4 89)
% 169.25/169.41  ;   207 with value (4 18)        115 with value (4 54)         108 with value (4 90)
% 169.25/169.41  ;    60 with value (4 19)        253 with value (4 55)         142 with value (4 91)
% 169.25/169.41  ;    86 with value (4 20)        203 with value (4 56)         159 with value (4 92)
% 169.25/169.41  ;    58 with value (4 21)         93 with value (4 57)         128 with value (4 93)
% 169.25/169.41  ;    65 with value (4 22)        106 with value (4 58)          95 with value (4 94)
% 169.25/169.41  ;    98 with value (4 23)         78 with value (4 59)         114 with value (4 95)
% 169.25/169.41  ;   859 with value (4 24)        157 with value (4 60)         154 with value (4 96)
% 169.25/169.41  ;   679 with value (4 25)        147 with value (4 61)          67 with value (4 97)
% 169.25/169.41  ;   332 with value (4 26)        164 with value (4 62)          63 with value (4 98)
% 169.25/169.41  ;   199 with value (4 27)        136 with value (4 63)         115 with value (4 99)
% 169.25/169.41  ;   249 with value (4 28)        120 with value (4 64)          84 with value (4 100)
% 169.25/169.41  ;    72 with value (4 29)        178 with value (4 65)          47 with value (4 101)
% 169.25/169.41  ;    89 with value (4 30)        170 with value (4 66)          74 with value (4 102)
% 169.25/169.41  ;    89 with value (4 31)        189 with value (4 67)          82 with value (4 103)
% 169.25/169.41  ;    53 with value (4 32)        164 with value (4 68)          33 with value (4 104)
% 169.25/169.41  ;   386 with value (4 33)        139 with value (4 69)          39 with value (4 105)
% 169.25/169.41  ;   172 with value (4 34)        167 with value (4 70)          54 with value (4 106)
% 169.25/169.41  ;   215 with value (4 35)        223 with value (4 71)          18 with value (4 107)
% 169.25/169.41  ;   153 with value (4 36)        233 with value (4 72)           8 with value (4 108)
% 169.25/169.41  ;    73 with value (4 37)        185 with value (4 73)          22 with value (4 109)
% 169.25/169.41  ;    90 with value (4 38)        171 with value (4 74)           6 with value (4 110)
% 169.25/169.41  ;   217 with value (4 39)        207 with value (4 75)           4 with value (4 112)
% 169.25/169.41  ;    57 with value (4 40)        226 with value (4 76)
% 169.25/169.41  Evaluation took:
% 169.25/169.41    168.958 seconds of real time
% 169.25/169.41    167.70255 seconds of user run time
% 169.25/169.41    1.258888 seconds of system run time
% 169.25/169.41    [Run times include 4.012 seconds GC run time.]
% 169.25/169.41    0 calls to %EVAL
% 169.25/169.41    0 page faults and
% 169.25/169.41    2,935,258,976 bytes consed.
% 169.25/169.41  :PROOF-FOUND
% 169.25/169.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T16:48:27
% 169.25/169.41  :PROOF-FOUND
% 169.25/169.41  * 
%------------------------------------------------------------------------------