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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM558+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:11:40 EDT 2022

% Result   : Theorem 59.72s 59.89s
% Output   : Refutation 59.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   23 (  17 unt;   0 nHn;  23 RR)
%            Number of literals    :   43 (   6 equ;  22 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(9,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aElementOf0(Z,Y)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

cnf(20,axiom,
    ( ~ aSet0(X)
    | ~ aElement0(Y)
    | Z != sdtpldt0(X,Y)
    | aElementOf0(U,Z)
    | ~ aElement0(U)
    | U != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).

cnf(25,axiom,
    ( ~ aSet0(X)
    | ~ aElement0(Y)
    | Z != sdtmndt0(X,Y)
    | aSet0(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

cnf(94,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | aSet0(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).

cnf(95,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | aSubsetOf0(U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).

cnf(104,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).

cnf(105,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).

cnf(106,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).

cnf(108,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).

cnf(110,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).

cnf(112,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).

cnf(115,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).

cnf(118,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).

cnf(119,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2378) ).

cnf(120,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(140,plain,
    aElement0(xx),
    inference('HYPERRESOLVE',[status(thm)],[1,105,110]) ).

cnf(170,plain,
    aSet0(sdtmndt0(xQ,xy)),
    inference('HYPERRESOLVE',[status(thm)],[25,112,115,theory(equality)]) ).

cnf(197,plain,
    aSet0(slbdtsldtrb0(xT,xk)),
    inference('HYPERRESOLVE',[status(thm)],[94,106,104,theory(equality)]) ).

cnf(6304,plain,
    aElementOf0(xx,xP),
    inference('HYPERRESOLVE',[status(thm)],[20,170,140,118,140,theory(equality)]) ).

cnf(6534,plain,
    ~ aSubsetOf0(xP,xT),
    inference('UR-RESOLVE',[status(thm)],[9,6304,106,120]) ).

cnf(13982,plain,
    aElementOf0(xP,slbdtsldtrb0(xT,xk)),
    inference('HYPERRESOLVE',[status(thm)],[9,197,108,119]) ).

cnf(39531,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[95,6534,106,104,theory(equality)]),13982]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM558+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 12:15:32 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-05T12:15:32
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-05T12:15:32
% 0.20/0.52  WARNING:
% 0.20/0.52     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 59.72/59.89  
% 59.72/59.89  
% 59.72/59.89  #||
% 59.72/59.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.72/59.89  % SZS output start Refutation
% See solution above
% 59.72/59.89  ||#
% 59.72/59.89  
% 59.72/59.89  ; Summary of computation:
% 59.72/59.89  ;     45463 formulas have been input or derived (from 221 formulas).
% 59.72/59.89  ;     39531 (87%) were retained.  Of these,
% 59.72/59.89  ;          697 ( 2%) were simplified or subsumed later,
% 59.72/59.89  ;        38834 (98%) are still being kept.
% 59.72/59.89  ; 
% 59.72/59.89  ; Run time in seconds excluding printing time:
% 59.72/59.89  ;     0.022   0%   Read assertion file          (1 call)
% 59.72/59.89  ;     0.004   0%   Assert                       (72 calls)
% 59.72/59.89  ;     5.955  10%   Process new row              (45,192 calls)
% 59.72/59.89  ;    27.583  46%   Resolution                   (440 calls)
% 59.72/59.89  ;     0.002   0%   Paramodulation               (220 calls)
% 59.72/59.89  ;     0.096   0%   Condensing                   (36,422 calls)
% 59.72/59.89  ;    18.409  31%   Forward subsumption          (36,422 calls)
% 59.72/59.89  ;     5.226   9%   Backward subsumption         (35,433 calls)
% 59.72/59.89  ;     0.163   0%   Clause clause subsumption    (51,854 calls)
% 59.72/59.89  ;     1.489   3%   Forward simplification       (44,197 calls)
% 59.72/59.89  ;     0.126   0%   Backward simplification      (39,531 calls)
% 59.72/59.89  ;     0.104   0%   Ordering                     (107,920 calls)
% 59.72/59.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 59.72/59.89  ;     0.001   0%   Purity testing               (1 call)
% 59.72/59.89  ;     0.227   0%   Other
% 59.72/59.89  ;    59.407        Total
% 59.72/59.89  ;    59.410        Real time
% 59.72/59.90  ; 
% 59.72/59.91  ; Term-hash-array has 101,445 terms in all.
% 59.72/59.91  ; Feature-vector-row-index has 34,863 entries (34,868 at peak, 35,433 added, 570 deleted).
% 59.72/59.91  ; Feature-vector-row-index has 121,162 nodes (121,162 at peak, 124,978 added, 3,816 deleted).
% 59.72/59.91  ;  Retrieved 145,502 possibly forward subsuming rows in 36,422 calls.
% 59.72/59.91  ;  Retrieved 87,224 possibly backward subsumed rows in 35,433 calls.
% 59.72/59.91  ; Path-index has 100,930 entries (100,930 at peak, 102,095 added, 1,165 deleted).
% 59.72/59.91  ; Path-index has 3,110 nodes (3,111 at peak, 3,269 added, 159 deleted).
% 59.72/59.91  ; Trie-index has 100,930 entries (100,930 at peak, 102,095 added, 1,165 deleted).
% 59.72/59.91  ; Trie-index has 230,512 nodes (230,512 at peak, 232,866 added, 2,354 deleted).
% 59.72/59.91  ; Retrieved 9,153 generalization terms in 238,480 calls.
% 59.72/59.91  ; Retrieved 4,113 instance terms in 4,097 calls.
% 59.72/59.91  ; Retrieved 81,088,570 unifiable terms in 359,120 calls.
% 59.72/59.91  ; 
% 59.72/59.91  ; The agenda of rows to process has 10 entries:
% 59.72/59.91  ;     6 with value 13              4 with value 15
% 59.72/59.91  ; The agenda of rows to give has 38616 entries:
% 59.72/59.91  ;     1 with value (4 7)         277 with value (4 23)        2101 with value (4 39)
% 59.72/59.91  ;    92 with value (4 8)         326 with value (4 24)        1611 with value (4 40)
% 59.72/59.91  ;   252 with value (4 9)         657 with value (4 25)        2256 with value (4 41)
% 59.72/59.91  ;   308 with value (4 10)        440 with value (4 26)        1432 with value (4 42)
% 59.72/59.91  ;   588 with value (4 11)        256 with value (4 27)         428 with value (4 43)
% 59.72/59.91  ;  1025 with value (4 12)        302 with value (4 28)        3285 with value (4 44)
% 59.72/59.91  ;   749 with value (4 13)        202 with value (4 29)        3064 with value (4 45)
% 59.72/59.91  ;   444 with value (4 14)        294 with value (4 30)         281 with value (4 46)
% 59.72/59.91  ;   302 with value (4 15)        535 with value (4 31)        2061 with value (4 47)
% 59.72/59.91  ;   111 with value (4 16)        317 with value (4 32)        2435 with value (4 48)
% 59.72/59.91  ;   234 with value (4 17)        557 with value (4 33)         491 with value (4 52)
% 59.72/59.91  ;   166 with value (4 18)       1213 with value (4 34)        1050 with value (4 53)
% 59.72/59.91  ;   118 with value (4 19)       1053 with value (4 35)         916 with value (4 57)
% 59.72/59.91  ;   107 with value (4 20)       1170 with value (4 36)         600 with value (4 58)
% 59.72/59.91  ;   206 with value (4 21)       1467 with value (4 37)         630 with value (4 62)
% 59.72/59.91  ;   301 with value (4 22)        645 with value (4 38)        1260 with value (4 63)
% 59.72/59.91  Evaluation took:
% 59.72/59.91    59.424 seconds of real time
% 59.72/59.91    57.62812 seconds of user run time
% 59.72/59.91    1.795176 seconds of system run time
% 59.72/59.91    [Run times include 9.075 seconds GC run time.]
% 59.72/59.91    0 calls to %EVAL
% 59.72/59.91    0 page faults and
% 59.72/59.91    3,631,311,208 bytes consed.
% 59.72/59.91  :PROOF-FOUND
% 59.72/59.91  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T12:16:32
% 59.72/59.91  :PROOF-FOUND
% 59.72/59.91  * 
%------------------------------------------------------------------------------