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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 14:11:20 EDT 2022

% Result   : Theorem 107.44s 107.63s
% Output   : Refutation 107.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  10 unt;   1 nHn;  14 RR)
%            Number of literals    :   28 (   3 equ;  16 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | aNaturalNumber0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

cnf(45,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | doDivides0(X,Y)
    | ~ aNaturalNumber0(Z)
    | Y != sdtasdt0(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).

cnf(64,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | ~ aNaturalNumber0(Z)
    | ~ isPrime0(Z)
    | ~ doDivides0(Z,sdtasdt0(X,Y))
    | doDivides0(Z,X)
    | doDivides0(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPDP) ).

cnf(65,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).

cnf(66,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).

cnf(67,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).

cnf(78,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).

cnf(82,hypothesis,
    isPrime0(xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).

cnf(84,negated_conjecture,
    ( ~ aNaturalNumber0(X)
    | sdtasdt0(xn,xn) != sdtasdt0(xp,X)
    | ~ doDivides0(xp,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(139,plain,
    aNaturalNumber0(sdtasdt0(xm,xm)),
    inference('HYPERRESOLVE',[status(thm)],[5,66,66]) ).

cnf(143,plain,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference('HYPERRESOLVE',[status(thm)],[5,65,65]) ).

cnf(173,plain,
    ~ doDivides0(xp,xn),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[84,78,theory(equality)]),139,theory(equality)]) ).

cnf(690,plain,
    ~ doDivides0(xp,sdtasdt0(xn,xn)),
    inference('UR-RESOLVE',[status(thm)],[64,173,65,65,67,82,173]) ).

cnf(80165,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,143,67,139,78]),690]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n010.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 : Tue Jul  5 02:06:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-05T02:06:17
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-05T02:06:17
% 107.44/107.63  
% 107.44/107.63  
% 107.44/107.63  #||
% 107.44/107.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 107.44/107.63  % SZS output start Refutation
% See solution above
% 107.44/107.63  ||#
% 107.44/107.63  
% 107.44/107.63  ; Summary of computation:
% 107.44/107.63  ;    209297 formulas have been input or derived (from 127 formulas).
% 107.44/107.63  ;     80165 (38%) were retained.  Of these,
% 107.44/107.63  ;         5630 ( 7%) were simplified or subsumed later,
% 107.44/107.63  ;        74535 (93%) are still being kept.
% 107.44/107.63  ; 
% 107.44/107.63  ; Run time in seconds excluding printing time:
% 107.44/107.63  ;     0.014   0%   Read assertion file          (1 call)
% 107.44/107.63  ;     0.004   0%   Assert                       (44 calls)
% 107.44/107.63  ;    10.957  10%   Process new row              (185,796 calls)
% 107.44/107.63  ;    85.713  80%   Resolution                   (252 calls)
% 107.44/107.63  ;     0.009   0%   Paramodulation               (126 calls)
% 107.44/107.63  ;     0.003   0%   Condensing                   (992 calls)
% 107.44/107.63  ;     0.032   0%   Forward subsumption          (992 calls)
% 107.44/107.63  ;     0.016   0%   Backward subsumption         (646 calls)
% 107.44/107.63  ;     0.007   0%   Clause clause subsumption    (2,009 calls)
% 107.44/107.63  ;     7.099   7%   Forward simplification       (185,795 calls)
% 107.44/107.63  ;     1.968   2%   Backward simplification      (80,165 calls)
% 107.44/107.63  ;     0.518   0%   Ordering                     (77,923 calls)
% 107.44/107.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 107.44/107.63  ;     0.000   0%   Purity testing               (1 call)
% 107.44/107.63  ;     0.818   1%   Other
% 107.44/107.63  ;   107.158        Total
% 107.44/107.63  ;   107.163        Real time
% 107.44/107.64  ; 
% 107.44/107.64  ; Term-hash-array has 192,541 terms in all.
% 107.44/107.64  ; Feature-vector-row-index has 604 entries (604 at peak, 646 added, 42 deleted).
% 107.44/107.64  ; Feature-vector-row-index has 1,868 nodes (1,868 at peak, 2,104 added, 236 deleted).
% 107.44/107.64  ;  Retrieved 1,841 possibly forward subsuming rows in 992 calls.
% 107.44/107.64  ;  Retrieved 716 possibly backward subsumed rows in 646 calls.
% 107.44/107.64  ; Path-index has 185,854 entries (185,854 at peak, 197,349 added, 11,495 deleted).
% 107.44/107.64  ; Path-index has 2,006 nodes (2,006 at peak, 2,032 added, 26 deleted).
% 107.44/107.64  ; Trie-index has 185,854 entries (185,854 at peak, 197,349 added, 11,495 deleted).
% 107.44/107.64  ; Trie-index has 1,031,931 nodes (1,031,931 at peak, 1,097,920 added, 65,989 deleted).
% 107.44/107.64  ; Retrieved 287,690 generalization terms in 1,799,172 calls.
% 107.44/107.64  ; Retrieved 79,973 instance terms in 79,518 calls.
% 107.44/107.64  ; Retrieved 64,349,952 unifiable terms in 1,923,585 calls.
% 107.44/107.64  ; 
% 107.44/107.64  ; The agenda of rows to process has 19728 entries:
% 107.44/107.64  ;     4 with value 9             147 with value 18              40 with value 26
% 107.44/107.64  ;   136 with value 11              5 with value 19            1465 with value 27
% 107.44/107.64  ;    23 with value 12            234 with value 20               8 with value 28
% 107.44/107.64  ;   187 with value 13            302 with value 21            7572 with value 29
% 107.44/107.64  ;    12 with value 14            365 with value 23             177 with value 30
% 107.44/107.64  ;    20 with value 15              2 with value 24             352 with value 31
% 107.44/107.64  ;    73 with value 16           2792 with value 25            5809 with value 33
% 107.44/107.64  ;     3 with value 17
% 107.44/107.64  ; The agenda of rows to give has 74412 entries:
% 107.44/107.64  ;     2 with value (4 7)        1404 with value (4 17)        7470 with value (4 27)
% 107.44/107.64  ;   105 with value (4 8)         300 with value (4 18)        2092 with value (4 28)
% 107.44/107.64  ;    56 with value (4 9)         820 with value (4 19)       17209 with value (4 29)
% 107.44/107.64  ;    58 with value (4 10)        789 with value (4 20)        3259 with value (4 30)
% 107.44/107.64  ;   260 with value (4 11)       1719 with value (4 21)        3360 with value (4 31)
% 107.44/107.64  ;   294 with value (4 12)         25 with value (4 22)        2557 with value (4 32)
% 107.44/107.64  ;   747 with value (4 13)       4907 with value (4 23)       10023 with value (4 33)
% 107.44/107.64  ;   359 with value (4 14)        463 with value (4 24)        3520 with value (4 34)
% 107.44/107.64  ;   479 with value (4 15)       8256 with value (4 25)        1932 with value (4 36)
% 107.44/107.64  ;   850 with value (4 16)       1097 with value (4 26)
% 107.44/107.64  Evaluation took:
% 107.44/107.64    107.168 seconds of real time
% 107.44/107.64    104.98282 seconds of user run time
% 107.44/107.64    2.181243 seconds of system run time
% 107.44/107.64    [Run times include 12.975 seconds GC run time.]
% 107.44/107.64    0 calls to %EVAL
% 107.44/107.64    0 page faults and
% 107.44/107.64    3,316,729,016 bytes consed.
% 107.44/107.64  :PROOF-FOUND
% 107.44/107.64  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T02:08:04
% 107.44/107.64  :PROOF-FOUND
% 107.44/107.64  * 
%------------------------------------------------------------------------------