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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG119+4 : 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 20:40:50 EDT 2022

% Result   : Theorem 9.26s 9.49s
% Output   : Refutation 9.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   20 (  14 unt;   0 nHn;  20 RR)
%            Number of literals    :   30 (  13 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

cnf(8,axiom,
    ( ~ aElement0(X)
    | sdtpldt0(X,sz00) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

cnf(12,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

cnf(17,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

cnf(21,axiom,
    ( ~ aElement0(X)
    | sz00 = sdtasdt0(sz00,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

cnf(24,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(129,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(169,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

cnf(188,hypothesis,
    ( ~ aElement0(X)
    | sdtasdt0(xu,X) != xb ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).

cnf(190,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

cnf(192,hypothesis,
    xb = sdtpldt0(sdtasdt0(xq,xu),xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

cnf(194,negated_conjecture,
    xr = sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(195,plain,
    xb = sdtpldt0(sdtasdt0(xq,xu),sz00),
    inference('REWRITE',[status(thm)],[192,194,theory(equality)]) ).

cnf(227,plain,
    sdtpldt0(xq,sz00) = xq,
    inference('HYPERRESOLVE',[status(thm)],[8,190]) ).

cnf(313,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[24,129,169]) ).

cnf(314,plain,
    sdtasdt0(xu,xq) != xb,
    inference('UR-RESOLVE',[status(thm)],[188,190]) ).

cnf(19495,plain,
    sz00 = sdtasdt0(sz00,xu),
    inference('HYPERRESOLVE',[status(thm)],[21,313]) ).

cnf(19601,plain,
    sdtasdt0(xu,xq) = sdtasdt0(xq,xu),
    inference('HYPERRESOLVE',[status(thm)],[12,313,190]) ).

cnf(21059,plain,
    sdtasdt0(xq,xu) = xb,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,313,190,1]),195,19495,227,theory(equality)]) ).

cnf(21065,plain,
    $false,
    inference('REWRITE',[status(thm)],[19601,314,21059,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : RNG119+4 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.10  % Command  : run-snark %s %d
% 0.10/0.30  % Computer : n021.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Mon May 30 11:44:13 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.15/0.39  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40  * 
% 0.15/0.40  * 
% 0.15/0.41  #<PACKAGE "SNARK-USER">
% 0.15/0.41  * 
% 0.15/0.41  SNARK-TPTP-OPTIONS
% 0.15/0.41  * 
% 0.15/0.41  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.41   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.41   (USE-FACTORING :POS)
% 0.15/0.41   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.41   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.41   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.41   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.41   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.41   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.41   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.41   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.41   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.41   (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.41  * 
% 0.15/0.41  "."
% 0.15/0.41  * 
% 0.15/0.41  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T11:44:14
% 0.15/0.41  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-30T11:44:14
% 0.15/0.44  WARNING:
% 0.15/0.44     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 9.26/9.49  
% 9.26/9.49  
% 9.26/9.49  #||
% 9.26/9.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.26/9.49  % SZS output start Refutation
% See solution above
% 9.26/9.49  ||#
% 9.26/9.49  
% 9.26/9.49  ; Summary of computation:
% 9.26/9.49  ;     51202 formulas have been input or derived (from 186 formulas).
% 9.26/9.49  ;     21065 (41%) were retained.  Of these,
% 9.26/9.49  ;         4546 (22%) were simplified or subsumed later,
% 9.26/9.49  ;        16519 (78%) are still being kept.
% 9.26/9.49  ; 
% 9.26/9.49  ; Run time in seconds excluding printing time:
% 9.26/9.49  ;     0.016   0%   Read assertion file          (1 call)
% 9.26/9.49  ;     0.007   0%   Assert                       (51 calls)
% 9.26/9.49  ;     2.520  28%   Process new row              (47,525 calls)
% 9.26/9.49  ;     3.619  40%   Resolution                   (370 calls)
% 9.26/9.49  ;     0.030   0%   Paramodulation               (185 calls)
% 9.26/9.49  ;     0.005   0%   Condensing                   (2,151 calls)
% 9.26/9.49  ;     0.070   1%   Forward subsumption          (2,151 calls)
% 9.26/9.49  ;     0.050   1%   Backward subsumption         (1,949 calls)
% 9.26/9.49  ;     0.003   0%   Clause clause subsumption    (1,089 calls)
% 9.26/9.49  ;     1.354  15%   Forward simplification       (47,107 calls)
% 9.26/9.49  ;     1.036  11%   Backward simplification      (21,064 calls)
% 9.26/9.49  ;     0.102   1%   Ordering                     (20,698 calls)
% 9.26/9.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 9.26/9.49  ;     0.000   0%   Purity testing               (1 call)
% 9.26/9.49  ;     0.263   3%   Other
% 9.26/9.49  ;     9.075        Total
% 9.26/9.49  ;     9.080        Real time
% 9.26/9.49  ; 
% 9.26/9.49  ; Term-hash-array has 53,194 terms in all.
% 9.26/9.49  ; Feature-vector-row-index has 1,658 entries (1,864 at peak, 1,949 added, 291 deleted).
% 9.26/9.49  ; Feature-vector-row-index has 4,129 nodes (4,316 at peak, 4,508 added, 379 deleted).
% 9.26/9.49  ;  Retrieved 4,366 possibly forward subsuming rows in 2,151 calls.
% 9.26/9.49  ;  Retrieved 3,504 possibly backward subsumed rows in 1,949 calls.
% 9.26/9.49  ; Path-index has 42,539 entries (46,817 at peak, 54,550 added, 12,011 deleted).
% 9.26/9.49  ; Path-index has 2,782 nodes (2,852 at peak, 2,964 added, 182 deleted).
% 9.26/9.49  ; Trie-index has 42,539 entries (46,817 at peak, 54,550 added, 12,011 deleted).
% 9.26/9.49  ; Trie-index has 123,691 nodes (137,190 at peak, 160,167 added, 36,476 deleted).
% 9.26/9.49  ; Retrieved 56,632 generalization terms in 266,958 calls.
% 9.26/9.49  ; Retrieved 19,114 instance terms in 19,114 calls.
% 9.26/9.49  ; Retrieved 7,699,299 unifiable terms in 95,109 calls.
% 9.26/9.49  ; 
% 9.26/9.49  ; The agenda of backward simplifiable rows to process has 47 entries:
% 9.26/9.49  ;    47 with value 0
% 9.26/9.49  ; The agenda of rows to process has 3589 entries:
% 9.26/9.49  ;  3519 with value 18             34 with value 23               1 with value 27
% 9.26/9.49  ;    35 with value 21
% 9.26/9.49  ; The agenda of rows to give has 16337 entries:
% 9.26/9.49  ;    12 with value (4 5)        4308 with value (4 15)          14 with value (4 26)
% 9.26/9.49  ;    87 with value (4 6)        2194 with value (4 16)           1 with value (4 27)
% 9.26/9.49  ;   402 with value (4 7)        2989 with value (4 17)           3 with value (4 28)
% 9.26/9.49  ;   326 with value (4 8)        1453 with value (4 18)           3 with value (4 30)
% 9.26/9.49  ;   167 with value (4 9)         129 with value (4 19)           2 with value (4 31)
% 9.26/9.49  ;   254 with value (4 10)        630 with value (4 20)           1 with value (4 33)
% 9.26/9.49  ;  1046 with value (4 11)         81 with value (4 21)           1 with value (4 36)
% 9.26/9.49  ;   222 with value (4 12)        155 with value (4 22)           3 with value (4 41)
% 9.26/9.49  ;  1394 with value (4 13)         11 with value (4 23)           1 with value (4 47)
% 9.26/9.49  ;   439 with value (4 14)          9 with value (4 24)
% 9.26/9.49  Evaluation took:
% 9.26/9.49    9.082 seconds of real time
% 9.26/9.49    8.523771 seconds of user run time
% 9.26/9.49    0.556081 seconds of system run time
% 9.26/9.49    [Run times include 1.585 seconds GC run time.]
% 9.26/9.49    0 calls to %EVAL
% 9.26/9.49    0 page faults and
% 9.26/9.49    427,060,720 bytes consed.
% 9.26/9.49  :PROOF-FOUND
% 9.26/9.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T11:44:23
% 9.26/9.49  :PROOF-FOUND
% 9.26/9.49  * 
%------------------------------------------------------------------------------