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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM487+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 14:10:59 EDT 2022

% Result   : Theorem 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  11 unt;   0 nHn;  16 RR)
%            Number of literals    :   28 (  11 equ;  15 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

cnf(6,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

cnf(8,axiom,
    ( ~ aNaturalNumber0(X)
    | sdtpldt0(X,sz00) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

cnf(18,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | ~ aNaturalNumber0(Z)
    | sdtpldt0(X,Y) != sdtpldt0(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

cnf(27,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | sdtlseqdt0(X,Y)
    | ~ aNaturalNumber0(Z)
    | sdtpldt0(X,Z) != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).

cnf(64,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

cnf(66,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

cnf(193,hypothesis,
    xp != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).

cnf(204,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

cnf(205,hypothesis,
    sdtpldt0(xp,xr) = xn,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

cnf(208,negated_conjecture,
    ( xr = xn
    | ~ sdtlseqdt0(xr,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(217,plain,
    sdtpldt0(xr,sz00) = xr,
    inference('HYPERRESOLVE',[status(thm)],[8,204]) ).

cnf(373,plain,
    sdtpldt0(xr,xp) = xn,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,204,66]),205,theory(equality)]) ).

cnf(516,plain,
    xr != xn,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,204,66,1,193]),217,373,theory(equality)]) ).

cnf(518,plain,
    ~ sdtlseqdt0(xr,xn),
    inference('REWRITE',[status(thm)],[208,516]) ).

cnf(546,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,518,204,64,66]),373,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : NUM487+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Wed Jul  6 09:18:33 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 2022-07-06T09:18:33
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-06T09:18:33
% 0.69/0.86  
% 0.69/0.86  
% 0.69/0.86  #||
% 0.69/0.86  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.86  % SZS output start Refutation
% See solution above
% 0.69/0.86  ||#
% 0.69/0.86  
% 0.69/0.86  ; Summary of computation:
% 0.69/0.86  ;      1335 formulas have been input or derived (from 65 formulas).
% 0.69/0.86  ;       546 (41%) were retained.  Of these,
% 0.69/0.86  ;           17 ( 3%) were simplified or subsumed later,
% 0.69/0.86  ;          529 (97%) are still being kept.
% 0.69/0.86  ; 
% 0.69/0.86  ; Run time in seconds excluding printing time:
% 0.69/0.86  ;     0.015   4%   Read assertion file          (1 call)
% 0.69/0.86  ;     0.010   3%   Assert                       (44 calls)
% 0.69/0.86  ;     0.055  14%   Process new row              (1,324 calls)
% 0.69/0.86  ;     0.212  55%   Resolution                   (128 calls)
% 0.69/0.86  ;     0.001   0%   Paramodulation               (64 calls)
% 0.69/0.86  ;     0.012   3%   Condensing                   (320 calls)
% 0.69/0.86  ;     0.023   6%   Forward subsumption          (320 calls)
% 0.69/0.86  ;     0.002   1%   Backward subsumption         (286 calls)
% 0.69/0.86  ;     0.007   2%   Clause clause subsumption    (508 calls)
% 0.69/0.86  ;     0.018   5%   Forward simplification       (1,324 calls)
% 0.69/0.86  ;     0.005   1%   Backward simplification      (546 calls)
% 0.69/0.86  ;     0.002   1%   Ordering                     (295 calls)
% 0.69/0.86  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.86  ;     0.001   0%   Purity testing               (1 call)
% 0.69/0.86  ;     0.021   5%   Other
% 0.69/0.86  ;     0.384        Total
% 0.69/0.86  ;     0.386        Real time
% 0.69/0.86  ; 
% 0.69/0.86  ; Term-hash-array has 655 terms in all.
% 0.69/0.86  ; Feature-vector-row-index has 272 entries (273 at peak, 286 added, 14 deleted).
% 0.69/0.86  ; Feature-vector-row-index has 2,010 nodes (2,013 at peak, 2,050 added, 40 deleted).
% 0.69/0.86  ;  Retrieved 565 possibly forward subsuming rows in 320 calls.
% 0.69/0.86  ;  Retrieved 76 possibly backward subsumed rows in 286 calls.
% 0.69/0.86  ; Path-index has 658 entries (658 at peak, 671 added, 13 deleted).
% 0.69/0.86  ; Path-index has 551 nodes (551 at peak, 554 added, 3 deleted).
% 0.69/0.86  ; Trie-index has 658 entries (658 at peak, 671 added, 13 deleted).
% 0.69/0.86  ; Trie-index has 1,108 nodes (1,108 at peak, 1,122 added, 14 deleted).
% 0.69/0.86  ; Retrieved 943 generalization terms in 3,325 calls.
% 0.69/0.86  ; Retrieved 261 instance terms in 259 calls.
% 0.69/0.86  ; Retrieved 276,333 unifiable terms in 13,224 calls.
% 0.69/0.86  ; 
% 0.69/0.86  ; The agenda of rows to process has 4 entries:
% 0.69/0.86  ;     4 with value 8
% 0.69/0.86  ; The agenda of input rows to give has 146 entries:
% 0.69/0.86  ;     1 with value 10              1 with value 46              13 with value 58
% 0.69/0.86  ;     1 with value 22              2 with value 47              10 with value 59
% 0.69/0.86  ;     2 with value 23              2 with value 48               9 with value 60
% 0.69/0.86  ;     4 with value 24              2 with value 49               4 with value 61
% 0.69/0.86  ;     2 with value 25              1 with value 50               6 with value 62
% 0.69/0.86  ;     4 with value 26              2 with value 51              10 with value 63
% 0.69/0.86  ;     1 with value 27              5 with value 52               9 with value 64
% 0.69/0.86  ;     1 with value 28              5 with value 53               7 with value 65
% 0.69/0.86  ;     2 with value 30              8 with value 54               2 with value 67
% 0.69/0.86  ;     2 with value 31              2 with value 55               3 with value 68
% 0.69/0.86  ;     1 with value 41              6 with value 56               5 with value 69
% 0.69/0.86  ;     2 with value 43              7 with value 57               1 with value 73
% 0.69/0.86  ;     1 with value 45
% 0.69/0.86  ; The agenda of rows to give has 320 entries:
% 0.69/0.86  ;     2 with value (4 4)          28 with value (4 9)            9 with value (4 14)
% 0.69/0.86  ;    17 with value (4 5)          41 with value (4 10)           7 with value (4 15)
% 0.69/0.86  ;     2 with value (4 6)           2 with value (4 11)           4 with value (4 17)
% 0.69/0.86  ;    81 with value (4 7)          26 with value (4 12)           4 with value (4 18)
% 0.69/0.86  ;    96 with value (4 8)           1 with value (4 13)
% 0.69/0.86  Evaluation took:
% 0.69/0.86    0.386 seconds of real time
% 0.69/0.86    0.367551 seconds of user run time
% 0.69/0.86    0.018524 seconds of system run time
% 0.69/0.86    [Run times include 0.009 seconds GC run time.]
% 0.69/0.86    0 calls to %EVAL
% 0.69/0.86    0 page faults and
% 0.69/0.86    18,034,336 bytes consed.
% 0.69/0.86  :PROOF-FOUND
% 0.69/0.86  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T09:18:34
% 0.69/0.86  :PROOF-FOUND
% 0.69/0.86  * 
%------------------------------------------------------------------------------