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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM587+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:11:57 EDT 2022

% Result   : Theorem 2.75s 2.99s
% Output   : Refutation 2.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;  16 RR)
%            Number of literals    :   23 (   6 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(126,axiom,
    ( ~ aFunction0(X)
    | ~ aElementOf0(Y,szDzozmdt0(X))
    | aElementOf0(sdtlpdtrp0(X,Y),sdtlcdtrc0(X,szDzozmdt0(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).

cnf(145,hypothesis,
    aFunction0(xc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).

cnf(158,hypothesis,
    ( ~ aElementOf0(X,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | aElementOf0(X,xT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).

cnf(2727,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aSet0(Y)
    | ~ aSubsetOf0(Y,sdtmndt0(sdtlpdtrp0(xN,X),szmzizndt0(sdtlpdtrp0(xN,X))))
    | sbrdtbr0(Y) != xk
    | sdtlpdtrp0(sdtlpdtrp0(xC,X),Y) = sdtlpdtrp0(xc,sdtpldt0(Y,szmzizndt0(sdtlpdtrp0(xN,X)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).

cnf(2729,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).

cnf(2740,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4237) ).

cnf(2742,hypothesis,
    aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4237) ).

cnf(2743,hypothesis,
    sbrdtbr0(xQ) = xk,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4237) ).

cnf(2745,hypothesis,
    sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4237) ).

cnf(2751,hypothesis,
    aElementOf0('SKOLEMAAAU36',szDzozmdt0(xc)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4263) ).

cnf(2752,hypothesis,
    sdtlpdtrp0(xc,'SKOLEMAAAU36') = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4263) ).

cnf(2753,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2844,plain,
    ~ aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
    inference('UR-RESOLVE',[status(thm)],[158,2753]) ).

cnf(2972,plain,
    aElementOf0(sdtlpdtrp0(xc,'SKOLEMAAAU36'),sdtlcdtrc0(xc,szDzozmdt0(xc))),
    inference('HYPERRESOLVE',[status(thm)],[126,145,2751]) ).

cnf(3680,plain,
    xx = sdtlpdtrp0(xc,'SKOLEMAAAU36'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2727,2729,2740,2742,2743]),2752,2745,theory(equality)]) ).

cnf(3683,plain,
    $false,
    inference('REWRITE',[status(thm)],[2972,2844,3680,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM587+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n013.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 21:57:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T21:57:14
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-05T21:57:14
% 2.75/2.99  
% 2.75/2.99  
% 2.75/2.99  #||
% 2.75/2.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.75/2.99  % SZS output start Refutation
% See solution above
% 2.75/2.99  ||#
% 2.75/2.99  
% 2.75/2.99  ; Summary of computation:
% 2.75/2.99  ;      4339 formulas have been input or derived (from 296 formulas).
% 2.75/2.99  ;      3683 (85%) were retained.  Of these,
% 2.75/2.99  ;          100 ( 3%) were simplified or subsumed later,
% 2.75/2.99  ;         3583 (97%) are still being kept.
% 2.75/2.99  ; 
% 2.75/2.99  ; Run time in seconds excluding printing time:
% 2.75/2.99  ;     0.037   1%   Read assertion file          (1 call)
% 2.75/2.99  ;     0.121   5%   Assert                       (91 calls)
% 2.75/2.99  ;     0.401  16%   Process new row              (4,275 calls)
% 2.75/2.99  ;     0.700  28%   Resolution                   (590 calls)
% 2.75/2.99  ;     0.004   0%   Paramodulation               (295 calls)
% 2.75/2.99  ;     0.092   4%   Condensing                   (3,831 calls)
% 2.75/2.99  ;     0.705  28%   Forward subsumption          (3,831 calls)
% 2.75/2.99  ;     0.220   9%   Backward subsumption         (3,461 calls)
% 2.75/2.99  ;     0.014   1%   Clause clause subsumption    (3,436 calls)
% 2.75/2.99  ;     0.168   7%   Forward simplification       (4,275 calls)
% 2.75/2.99  ;     0.005   0%   Backward simplification      (3,671 calls)
% 2.75/2.99  ;     0.001   0%   Ordering                     (2,081 calls)
% 2.75/2.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.75/2.99  ;     0.015   1%   Purity testing               (1 call)
% 2.75/2.99  ;     0.041   2%   Other
% 2.75/2.99  ;     2.524        Total
% 2.75/2.99  ;     2.525        Real time
% 2.75/2.99  ; 
% 2.82/2.99  ; Term-hash-array has 2,513 terms in all.
% 2.82/2.99  ; Feature-vector-row-index has 3,380 entries (3,385 at peak, 3,461 added, 81 deleted).
% 2.82/2.99  ; Feature-vector-row-index has 45,282 nodes (45,363 at peak, 46,669 added, 1,387 deleted).
% 2.82/2.99  ;  Retrieved 4,757 possibly forward subsuming rows in 3,831 calls.
% 2.82/2.99  ;  Retrieved 194 possibly backward subsumed rows in 3,461 calls.
% 2.82/2.99  ; Path-index has 2,500 entries (2,514 at peak, 2,537 added, 37 deleted).
% 2.82/2.99  ; Path-index has 2,753 nodes (2,763 at peak, 2,780 added, 27 deleted).
% 2.82/2.99  ; Trie-index has 2,500 entries (2,514 at peak, 2,537 added, 37 deleted).
% 2.82/2.99  ; Trie-index has 7,100 nodes (7,129 at peak, 7,189 added, 89 deleted).
% 2.82/2.99  ; Retrieved 727 generalization terms in 34,564 calls.
% 2.82/2.99  ; Retrieved 209 instance terms in 209 calls.
% 2.82/2.99  ; Retrieved 528,135 unifiable terms in 20,523 calls.
% 2.82/2.99  ; 
% 2.82/2.99  ; The agenda of backward simplifiable rows to process has 5 entries:
% 2.82/2.99  ;     5 with value 0
% 2.82/2.99  ; The agenda of rows to process has 2 entries:
% 2.82/2.99  ;     1 with value 39              1 with value 45
% 2.82/2.99  ; The agenda of input rows to give has 2378 entries:
% 2.82/2.99  ;     1 with value 15             62 with value 69              39 with value 92
% 2.82/2.99  ;    13 with value 47             49 with value 70              41 with value 93
% 2.82/2.99  ;    17 with value 48             59 with value 71              36 with value 94
% 2.82/2.99  ;    11 with value 49             64 with value 72              27 with value 95
% 2.82/2.99  ;    10 with value 50             72 with value 73              27 with value 96
% 2.82/2.99  ;    15 with value 51             70 with value 74              35 with value 97
% 2.82/2.99  ;    20 with value 52             58 with value 75              27 with value 98
% 2.82/2.99  ;    24 with value 53             70 with value 76              19 with value 99
% 2.82/2.99  ;    17 with value 54             68 with value 77              28 with value 100
% 2.82/2.99  ;    33 with value 55             54 with value 78              22 with value 101
% 2.82/2.99  ;    36 with value 56             52 with value 79              15 with value 102
% 2.82/2.99  ;    35 with value 57             60 with value 80              21 with value 103
% 2.82/2.99  ;    32 with value 58             59 with value 81              14 with value 104
% 2.82/2.99  ;    27 with value 59             51 with value 82              14 with value 105
% 2.82/2.99  ;    40 with value 60             43 with value 83              15 with value 106
% 2.82/2.99  ;    37 with value 61             58 with value 84              11 with value 107
% 2.82/2.99  ;    26 with value 62             59 with value 85              10 with value 108
% 2.82/2.99  ;    28 with value 63             51 with value 86               8 with value 109
% 2.82/2.99  ;    40 with value 64             55 with value 87              12 with value 110
% 2.82/2.99  ;    39 with value 65             44 with value 88               3 with value 111
% 2.82/2.99  ;    44 with value 66             59 with value 89               2 with value 112
% 2.82/2.99  ;    39 with value 67             54 with value 90               8 with value 113
% 2.82/2.99  ;    53 with value 68             34 with value 91               2 with value 116
% 2.82/2.99  ; The agenda of rows to give has 911 entries:
% 2.82/2.99  ;    12 with value (4 4)          13 with value (4 29)          13 with value (4 56)
% 2.82/2.99  ;    19 with value (4 5)           8 with value (4 30)           3 with value (4 57)
% 2.82/2.99  ;    11 with value (4 6)          12 with value (4 31)           1 with value (4 58)
% 2.82/2.99  ;    58 with value (4 7)          14 with value (4 32)           4 with value (4 59)
% 2.82/2.99  ;     7 with value (4 8)          10 with value (4 33)          16 with value (4 60)
% 2.82/2.99  ;    14 with value (4 9)           3 with value (4 34)          13 with value (4 61)
% 2.82/2.99  ;     4 with value (4 10)          7 with value (4 35)          19 with value (4 62)
% 2.82/2.99  ;    23 with value (4 11)         14 with value (4 36)           4 with value (4 63)
% 2.82/2.99  ;    19 with value (4 12)         25 with value (4 37)           4 with value (4 64)
% 2.82/2.99  ;     8 with value (4 13)         13 with value (4 38)           5 with value (4 65)
% 2.82/2.99  ;     9 with value (4 14)         10 with value (4 39)           3 with value (4 68)
% 2.82/2.99  ;    20 with value (4 15)          4 with value (4 40)           1 with value (4 69)
% 2.82/2.99  ;     6 with value (4 16)         54 with value (4 41)           4 with value (4 70)
% 2.82/2.99  ;    10 with value (4 17)         25 with value (4 42)           4 with value (4 71)
% 2.82/2.99  ;     9 with value (4 18)         15 with value (4 43)           4 with value (4 72)
% 2.82/2.99  ;     9 with value (4 19)          1 with value (4 45)           7 with value (4 73)
% 2.82/2.99  ;     7 with value (4 20)          1 with value (4 47)           1 with value (4 74)
% 2.82/2.99  ;    23 with value (4 21)          5 with value (4 48)           3 with value (4 76)
% 2.82/2.99  ;    11 with value (4 22)          6 with value (4 49)           1 with value (4 77)
% 2.82/2.99  ;    17 with value (4 23)         17 with value (4 50)           4 with value (4 78)
% 2.82/2.99  ;    67 with value (4 24)          4 with value (4 51)           7 with value (4 81)
% 2.82/2.99  ;    14 with value (4 25)         15 with value (4 52)           1 with value (4 82)
% 2.82/2.99  ;    67 with value (4 26)         25 with value (4 53)           3 with value (4 84)
% 2.82/2.99  ;    10 with value (4 27)         19 with value (4 54)           3 with value (4 89)
% 2.82/2.99  ;     9 with value (4 28)
% 2.82/2.99  Evaluation took:
% 2.82/2.99    2.529 seconds of real time
% 2.82/2.99    2.453384 seconds of user run time
% 2.82/2.99    0.075796 seconds of system run time
% 2.82/2.99    [Run times include 0.164 seconds GC run time.]
% 2.82/2.99    0 calls to %EVAL
% 2.82/2.99    0 page faults and
% 2.82/2.99    215,451,856 bytes consed.
% 2.82/2.99  :PROOF-FOUND
% 2.82/2.99  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T21:57:17
% 2.82/2.99  :PROOF-FOUND
% 2.82/2.99  * 
%------------------------------------------------------------------------------