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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM565+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 14:11:44 EDT 2022

% Result   : Theorem 12.96s 13.19s
% Output   : Refutation 12.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  15 unt;   0 nHn;  19 RR)
%            Number of literals    :   31 (  11 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | aSet0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(40,axiom,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(62,axiom,
    ( ~ aSet0(X)
    | sbrdtbr0(X) != sz00
    | X = slcrc0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

cnf(96,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | aSubsetOf0(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(97,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | sbrdtbr0(U) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(141,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

cnf(144,hypothesis,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

cnf(150,hypothesis,
    xK = sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

cnf(152,negated_conjecture,
    aElementOf0('SKOLEMAAAU22',slbdtsldtrb0(xS,sz00)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(153,negated_conjecture,
    sdtlpdtrp0(xc,'SKOLEMAAAU22') != sdtlpdtrp0(xc,slcrc0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(154,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00),
    inference('REWRITE',[status(thm)],[144,150,theory(equality)]) ).

cnf(156,plain,
    aElementOf0('SKOLEMAAAU22',szDzozmdt0(xc)),
    inference('REWRITE',[status(thm)],[152,154,theory(equality)]) ).

cnf(174,plain,
    aSet0(xS),
    inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).

cnf(316,plain,
    aSubsetOf0('SKOLEMAAAU22',xS),
    inference('HYPERRESOLVE',[status(thm)],[96,174,42,154,156]) ).

cnf(321,plain,
    sbrdtbr0('SKOLEMAAAU22') = sz00,
    inference('HYPERRESOLVE',[status(thm)],[97,174,42,154,156]) ).

cnf(1097,plain,
    aSet0('SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[8,316,174]) ).

cnf(15352,plain,
    slcrc0 = 'SKOLEMAAAU22',
    inference('HYPERRESOLVE',[status(thm)],[62,321,1097]) ).

cnf(15353,plain,
    $false,
    inference('REWRITE',[status(thm)],[153,15352,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM565+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n003.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 05:57:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:57:41
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-06T05:57:41
% 12.96/13.19  
% 12.96/13.19  
% 12.96/13.19  #||
% 12.96/13.19  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.96/13.19  % SZS output start Refutation
% See solution above
% 12.96/13.19  ||#
% 12.96/13.19  
% 12.96/13.19  ; Summary of computation:
% 12.96/13.19  ;     21760 formulas have been input or derived (from 218 formulas).
% 12.96/13.19  ;     15353 (71%) were retained.  Of these,
% 12.96/13.19  ;         3864 (25%) were simplified or subsumed later,
% 12.96/13.19  ;        11489 (75%) are still being kept.
% 12.96/13.19  ; 
% 12.96/13.19  ; Run time in seconds excluding printing time:
% 12.96/13.19  ;     0.020   0%   Read assertion file          (1 call)
% 12.96/13.19  ;     0.007   0%   Assert                       (80 calls)
% 12.96/13.19  ;     1.804  14%   Process new row              (17,958 calls)
% 12.96/13.19  ;     4.665  37%   Resolution                   (434 calls)
% 12.96/13.19  ;     0.005   0%   Paramodulation               (217 calls)
% 12.96/13.19  ;     0.023   0%   Condensing                   (13,924 calls)
% 12.96/13.19  ;     4.177  33%   Forward subsumption          (13,924 calls)
% 12.96/13.19  ;     0.919   7%   Backward subsumption         (13,258 calls)
% 12.96/13.19  ;     0.029   0%   Clause clause subsumption    (18,345 calls)
% 12.96/13.19  ;     0.460   4%   Forward simplification       (17,958 calls)
% 12.96/13.19  ;     0.455   4%   Backward simplification      (15,353 calls)
% 12.96/13.19  ;     0.043   0%   Ordering                     (40,061 calls)
% 12.96/13.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 12.96/13.19  ;     0.001   0%   Purity testing               (1 call)
% 12.96/13.19  ;     0.103   1%   Other
% 12.96/13.19  ;    12.711        Total
% 12.96/13.19  ;    12.714        Real time
% 12.96/13.19  ; 
% 12.96/13.20  ; Term-hash-array has 38,750 terms in all.
% 12.96/13.20  ; Feature-vector-row-index has 9,809 entries (13,042 at peak, 13,258 added, 3,449 deleted).
% 12.96/13.20  ; Feature-vector-row-index has 42,407 nodes (57,895 at peak, 59,853 added, 17,446 deleted).
% 12.96/13.20  ;  Retrieved 52,046 possibly forward subsuming rows in 13,924 calls.
% 12.96/13.20  ;  Retrieved 26,740 possibly backward subsumed rows in 13,258 calls.
% 12.96/13.20  ; Path-index has 29,203 entries (38,563 at peak, 38,978 added, 9,775 deleted).
% 12.96/13.20  ; Path-index has 4,018 nodes (4,146 at peak, 4,278 added, 260 deleted).
% 12.96/13.20  ; Trie-index has 29,203 entries (38,563 at peak, 38,978 added, 9,775 deleted).
% 12.96/13.20  ; Trie-index has 85,012 nodes (105,354 at peak, 106,300 added, 21,288 deleted).
% 12.96/13.20  ; Retrieved 4,649 generalization terms in 101,003 calls.
% 12.96/13.20  ; Retrieved 2,094 instance terms in 2,094 calls.
% 12.96/13.20  ; Retrieved 16,512,507 unifiable terms in 162,085 calls.
% 12.96/13.20  ; 
% 12.96/13.20  ; The agenda of backward simplifiable rows to process has 3531 entries:
% 12.96/13.20  ;  3531 with value 0
% 12.96/13.20  ; The agenda of rows to process has 26 entries:
% 12.96/13.20  ;     1 with value 9               1 with value 12               1 with value 24
% 12.96/13.20  ;     5 with value 10              2 with value 13               1 with value 26
% 12.96/13.20  ;     4 with value 11             10 with value 14               1 with value 29
% 12.96/13.20  ; The agenda of rows to give has 11278 entries:
% 12.96/13.20  ;    16 with value (4 8)         198 with value (4 26)         301 with value (4 43)
% 12.96/13.20  ;    73 with value (4 9)          83 with value (4 27)         273 with value (4 44)
% 12.96/13.20  ;   132 with value (4 10)        160 with value (4 28)        1287 with value (4 45)
% 12.96/13.20  ;   190 with value (4 11)         74 with value (4 29)          61 with value (4 46)
% 12.96/13.20  ;   248 with value (4 12)        152 with value (4 30)         241 with value (4 47)
% 12.96/13.20  ;   452 with value (4 13)        156 with value (4 31)         899 with value (4 48)
% 12.96/13.20  ;   253 with value (4 14)        113 with value (4 32)         249 with value (4 49)
% 12.96/13.20  ;   157 with value (4 15)        106 with value (4 33)          26 with value (4 50)
% 12.96/13.20  ;    40 with value (4 16)        217 with value (4 34)         231 with value (4 51)
% 12.96/13.20  ;    95 with value (4 17)        206 with value (4 35)          40 with value (4 52)
% 12.96/13.20  ;    44 with value (4 18)        176 with value (4 36)         484 with value (4 53)
% 12.96/13.20  ;    31 with value (4 19)        423 with value (4 37)          22 with value (4 57)
% 12.96/13.20  ;    56 with value (4 20)        135 with value (4 38)         276 with value (4 58)
% 12.96/13.20  ;    67 with value (4 21)        493 with value (4 39)           8 with value (4 62)
% 12.96/13.20  ;    92 with value (4 22)        542 with value (4 40)         442 with value (4 63)
% 12.96/13.20  ;    73 with value (4 23)        350 with value (4 41)           2 with value (4 67)
% 12.96/13.20  ;    96 with value (4 24)        540 with value (4 42)          70 with value (4 68)
% 12.96/13.20  ;   127 with value (4 25)
% 12.96/13.20  Evaluation took:
% 12.96/13.20    12.719 seconds of real time
% 12.96/13.20    12.137283 seconds of user run time
% 12.96/13.20    0.580312 seconds of system run time
% 12.96/13.20    [Run times include 1.924 seconds GC run time.]
% 12.96/13.20    0 calls to %EVAL
% 12.96/13.20    0 page faults and
% 12.96/13.20    1,074,038,848 bytes consed.
% 12.96/13.20  :PROOF-FOUND
% 12.96/13.20  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:57:54
% 12.96/13.20  :PROOF-FOUND
% 12.96/13.20  * 
%------------------------------------------------------------------------------