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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Sat Jul 16 11:37:44 EDT 2022

% Result   : Unsatisfiable 28.83s 29.08s
% Output   : Refutation 28.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   66 (  25 unt;  33 nHn;  48 RR)
%            Number of literals    :  136 ( 135 equ;  45 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
    multiply(identity,X) = X,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X),X) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(associativity,axiom,
    multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_6,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_16,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(prove_this_19,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(prove_this_20,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(prove_this_21,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(prove_this_27,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(prove_this_31,negated_conjecture,
    ( multiply(X,sk_c7) != sk_c6
    | inverse(X) != sk_c7
    | multiply(sk_c7,sk_c5) != sk_c6
    | inverse(Y) != sk_c7
    | multiply(Y,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c5) != sk_c7
    | multiply(Z,sk_c7) != sk_c6
    | inverse(Z) != sk_c7
    | inverse(sk_c7) != sk_c5
    | multiply(U,sk_c5) != sk_c6
    | inverse(U) != sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(35,plain,
    ( multiply(sk_c7,sk_c5) != sk_c6
    | inverse(X) != sk_c7
    | multiply(X,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c5) != sk_c7
    | multiply(Y,sk_c7) != sk_c6
    | inverse(Y) != sk_c7
    | inverse(sk_c7) != sk_c5 ),
    inference('CONDENSE',[status(thm)],[prove_this_31]) ).

cnf(43,plain,
    X = multiply(inverse(Y),multiply(Y,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(44,plain,
    multiply(multiply(X,inverse(Y)),Y) = multiply(X,identity),
    inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]) ).

cnf(92,plain,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | multiply(sk_c7,X) = multiply(sk_c6,multiply(sk_c5,X)) ),
    inference('PARAMODULATE',[status(thm)],[associativity,prove_this_25,theory(equality)]) ).

cnf(101,plain,
    ( multiply(sk_c7,sk_c5) != sk_c6
    | inverse(X) != sk_c7
    | multiply(X,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c5) != sk_c7
    | identity != sk_c6
    | inverse(inverse(sk_c7)) != sk_c7
    | inverse(sk_c7) != sk_c5 ),
    inference('PARAMODULATE',[status(thm)],[35,left_inverse,theory(equality)]) ).

cnf(136,plain,
    X = multiply(inverse(inverse(X)),identity),
    inference('PARAMODULATE',[status(thm)],[43,left_inverse,theory(equality)]) ).

cnf(137,plain,
    multiply(X,Y) = multiply(inverse(inverse(X)),Y),
    inference('PARAMODULATE',[status(thm)],[43,43,theory(equality)]) ).

cnf(138,plain,
    X = multiply(X,identity),
    inference('REWRITE',[status(thm)],[136,137,theory(equality)]) ).

cnf(139,plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference('REWRITE',[status(thm)],[44,138,theory(equality)]) ).

cnf(140,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c5 = multiply(inverse(sk_c6),sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[43,prove_this_19,theory(equality)]) ).

cnf(143,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c5 = multiply(inverse(sk_c4),sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[43,prove_this_11,theory(equality)]) ).

cnf(145,plain,
    ( inverse(sk_c7) = sk_c5
    | sk_c5 = multiply(inverse(sk_c7),sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[43,prove_this_16,theory(equality)]) ).

cnf(153,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c7 = multiply(inverse(sk_c3),sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[43,prove_this_20,theory(equality)]) ).

cnf(155,plain,
    multiply(multiply(X,inverse(Y)),multiply(Y,Z)) = multiply(X,Z),
    inference('PARAMODULATE',[status(thm)],[associativity,43,theory(equality)]) ).

cnf(172,plain,
    inverse(identity) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,138,theory(equality)]) ).

cnf(175,plain,
    X = inverse(inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[139,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(176,plain,
    ( multiply(sk_c7,sk_c5) != sk_c6
    | inverse(X) != sk_c7
    | multiply(X,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c5) != sk_c7
    | identity != sk_c6
    | inverse(sk_c7) != sk_c5 ),
    inference('REWRITE',[status(thm)],[101,175,theory(equality)]) ).

cnf(186,plain,
    multiply(X,inverse(X)) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,175,theory(equality)]) ).

cnf(187,plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference('PARAMODULATE',[status(thm)],[139,175,theory(equality)]) ).

cnf(203,plain,
    inverse(X) = multiply(inverse(multiply(Y,X)),Y),
    inference('PARAMODULATE',[status(thm)],[43,187,theory(equality)]) ).

cnf(390,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c5 = multiply(sk_c5,sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[143,prove_this_12,theory(equality)]) ).

cnf(396,plain,
    ( inverse(sk_c1) = sk_c7
    | identity = sk_c6 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,390,theory(equality)]),left_inverse,theory(equality)]) ).

cnf(402,plain,
    ( identity = sk_c6
    | multiply(sk_c1,sk_c7) = identity ),
    inference('PARAMODULATE',[status(thm)],[186,396,theory(equality)]) ).

cnf(422,plain,
    ( identity = sk_c6
    | inverse(sk_c4) = sk_c5 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_6,402,theory(equality)]) ).

cnf(425,plain,
    ( identity = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_5,402,theory(equality)]) ).

cnf(428,plain,
    ( identity = sk_c6
    | multiply(sk_c4,sk_c5) = identity ),
    inference('PARAMODULATE',[status(thm)],[186,422,theory(equality)]) ).

cnf(540,plain,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7 ),
    inference('PARAMODULATE',[status(thm)],[153,prove_this_21,theory(equality)]) ).

cnf(569,plain,
    multiply(inverse(X),Y) = inverse(multiply(inverse(Y),X)),
    inference('PARAMODULATE',[status(thm)],[139,203,theory(equality)]) ).

cnf(571,plain,
    ( inverse(sk_c7) = sk_c5
    | sk_c5 = inverse(multiply(inverse(sk_c6),sk_c7)) ),
    inference('REWRITE',[status(thm)],[145,569,theory(equality)]) ).

cnf(724,plain,
    ( inverse(sk_c2) = sk_c7
    | X = multiply(X,sk_c6) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[155,540,theory(equality)]),139,theory(equality)]) ).

cnf(760,plain,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c6) = identity ),
    inference('PARAMODULATE',[status(thm)],[left_inverse,724,theory(equality)]) ).

cnf(782,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c5 = sk_c7 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[140,760,theory(equality)]),left_identity,theory(equality)]) ).

cnf(1160,plain,
    identity = sk_c6,
    inference('PARAMODULATE',[status(thm)],[425,428,theory(equality)]) ).

cnf(1172,plain,
    ( sk_c2 = sk_c7
    | sk_c5 = sk_c7 ),
    inference('REWRITE',[status(thm)],[prove_this_25,left_identity,138,1160,theory(equality)]) ).

cnf(1174,plain,
    ( sk_c2 = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    inference('REWRITE',[status(thm)],[prove_this_27,138,1160,theory(equality)]) ).

cnf(1211,plain,
    ( sk_c2 = sk_c7
    | multiply(sk_c7,X) = multiply(sk_c5,X) ),
    inference('REWRITE',[status(thm)],[92,left_identity,138,1160,theory(equality)]) ).

cnf(1249,plain,
    ( multiply(sk_c7,sk_c5) != identity
    | inverse(X) != sk_c7
    | X != sk_c7
    | sk_c5 != sk_c7
    | inverse(sk_c7) != sk_c5 ),
    inference('REWRITE',[status(thm)],[176,left_identity,138,1160,theory(equality)]) ).

cnf(1325,plain,
    inverse(sk_c7) = sk_c5,
    inference('REWRITE',[status(thm)],[571,left_identity,172,1160,theory(equality)]) ).

cnf(1347,plain,
    ( multiply(sk_c7,sk_c5) != identity
    | inverse(X) != sk_c7
    | X != sk_c7
    | sk_c5 != sk_c7 ),
    inference('REWRITE',[status(thm)],[1249,1325,theory(equality)]) ).

cnf(1494,plain,
    ( sk_c2 = sk_c7
    | multiply(sk_c7,sk_c3) = identity ),
    inference('PARAMODULATE',[status(thm)],[left_inverse,1174,theory(equality)]) ).

cnf(1511,plain,
    sk_c7 = inverse(sk_c5),
    inference('PARAMODULATE',[status(thm)],[175,1325,theory(equality)]) ).

cnf(1523,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference('PARAMODULATE',[status(thm)],[186,1325,theory(equality)]) ).

cnf(1531,plain,
    ( inverse(X) != sk_c7
    | X != sk_c7
    | sk_c5 != sk_c7 ),
    inference('REWRITE',[status(thm)],[1347,1523,theory(equality)]) ).

cnf(1607,plain,
    ( sk_c2 = sk_c7
    | multiply(sk_c5,sk_c3) = identity ),
    inference('PARAMODULATE',[status(thm)],[1494,1211,theory(equality)]) ).

cnf(1616,plain,
    ( sk_c2 = sk_c7
    | sk_c3 = sk_c7 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,1607,theory(equality)]),138,1511,theory(equality)]) ).

cnf(1857,plain,
    sk_c2 = sk_c7,
    inference('HYPERRESOLVE',[status(thm)],[1531,1174,1616,1172]) ).

cnf(1938,plain,
    ( inverse(sk_c2) = sk_c2
    | sk_c2 = sk_c5 ),
    inference('REWRITE',[status(thm)],[782,1857,theory(equality)]) ).

cnf(2009,plain,
    inverse(sk_c2) = sk_c5,
    inference('REWRITE',[status(thm)],[1325,1857,theory(equality)]) ).

cnf(2024,plain,
    sk_c2 = sk_c5,
    inference('REWRITE',[status(thm)],[1938,2009,theory(equality)]) ).

cnf(2090,plain,
    inverse(sk_c2) = sk_c2,
    inference('REWRITE',[status(thm)],[2009,2024,theory(equality)]) ).

cnf(2121,plain,
    ( inverse(X) != sk_c2
    | X != sk_c2 ),
    inference('REWRITE',[status(thm)],[1531,2024,1857,theory(equality)]) ).

cnf(2135,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[2121,2090,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.10  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon Jun 13 14:43:27 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.12/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  * 
% 0.12/0.37  * 
% 0.12/0.38  #<PACKAGE "SNARK-USER">
% 0.12/0.38  * 
% 0.12/0.38  SNARK-TPTP-OPTIONS
% 0.12/0.38  * 
% 0.12/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.38   (USE-FACTORING :POS)
% 0.12/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.38  * 
% 0.12/0.38  "."
% 0.12/0.38  * 
% 0.12/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:43:27
% 0.12/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-13T14:43:27
% 0.12/0.39  
% 0.12/0.39  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.12/0.39  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 28.83/29.08  ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 28.83/29.08  
% 28.83/29.08  #||
% 28.83/29.08  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.83/29.09  % SZS output start Refutation
% See solution above
% 28.83/29.09  ||#
% 28.83/29.09  
% 28.83/29.09  ; Summary of computation:
% 28.83/29.09  ;     98584 formulas have been input or derived (from 242 formulas).
% 28.83/29.09  ;      2135 ( 2%) were retained.  Of these,
% 28.83/29.09  ;         1964 (92%) were simplified or subsumed later,
% 28.83/29.09  ;          171 ( 8%) are still being kept.
% 28.83/29.09  ; 
% 28.83/29.09  ; Run time in seconds excluding printing time:
% 28.83/29.09  ;     0.004   0%   Read assertion file          (1 call)
% 28.83/29.09  ;     0.001   0%   Assert                       (34 calls)
% 28.83/29.09  ;     0.457   2%   Process new row              (73,497 calls)
% 28.83/29.09  ;     3.666  13%   Resolution                   (482 calls)
% 28.83/29.09  ;     0.067   0%   Paramodulation               (241 calls)
% 28.83/29.09  ;     0.001   0%   Factoring                    (210 calls)
% 28.83/29.09  ;     0.117   0%   Condensing                   (71,440 calls)
% 28.83/29.09  ;    18.015  63%   Forward subsumption          (71,440 calls)
% 28.83/29.09  ;     0.067   0%   Backward subsumption         (2,072 calls)
% 28.83/29.09  ;     3.195  11%   Clause clause subsumption    (639,768 calls)
% 28.83/29.09  ;     2.714   9%   Forward simplification       (73,035 calls)
% 28.83/29.09  ;     0.075   0%   Backward simplification      (2,134 calls)
% 28.83/29.09  ;     0.042   0%   Ordering                     (22,563 calls)
% 28.83/29.09  ;     0.000   0%   Sortal reasoning             (32 calls)
% 28.83/29.09  ;     0.000   0%   Purity testing               (1 call)
% 28.83/29.09  ;     0.282   1%   Other
% 28.83/29.09  ;    28.703        Total
% 28.83/29.09  ;    28.713        Real time
% 28.83/29.09  ; 
% 28.83/29.09  ; Term-hash-array has 851 terms in all.
% 28.83/29.09  ; Feature-vector-row-index has 134 entries (1,000 at peak, 2,072 added, 1,938 deleted).
% 28.83/29.09  ; Feature-vector-row-index has 585 nodes (6,428 at peak, 12,143 added, 11,558 deleted).
% 28.83/29.09  ;  Retrieved 2,358,710 possibly forward subsuming rows in 71,440 calls.
% 28.83/29.09  ;  Retrieved 1,696 possibly backward subsumed rows in 2,072 calls.
% 28.83/29.09  ; Path-index has 250 entries (595 at peak, 998 added, 748 deleted).
% 28.83/29.09  ; Path-index has 245 nodes (333 at peak, 423 added, 178 deleted).
% 28.83/29.09  ; Trie-index has 250 entries (595 at peak, 998 added, 748 deleted).
% 28.83/29.09  ; Trie-index has 637 nodes (1,335 at peak, 2,160 added, 1,523 deleted).
% 28.83/29.09  ; Retrieved 5,591 generalization terms in 677,435 calls.
% 28.83/29.09  ; Retrieved 139 instance terms in 80 calls.
% 28.83/29.09  ; Retrieved 1,789,762 unifiable terms in 50,315 calls.
% 28.83/29.09  ; 
% 28.83/29.09  ; The agenda of rows to process has 18 entries:
% 28.83/29.09  ;     1 with value 7               2 with value 12               3 with value 16
% 28.83/29.09  ;     1 with value 8               3 with value 13               1 with value 17
% 28.83/29.09  ;     1 with value 9               1 with value 15               1 with value 18
% 28.83/29.09  ;     4 with value 11
% 28.83/29.09  ; The agenda of rows to give has 146 entries:
% 28.83/29.09  ;     2 with value (4 13)         17 with value (4 19)          11 with value (4 24)
% 28.83/29.09  ;     6 with value (4 14)         22 with value (4 20)           2 with value (4 25)
% 28.83/29.09  ;     3 with value (4 16)         17 with value (4 21)           4 with value (4 26)
% 28.83/29.09  ;    14 with value (4 17)         10 with value (4 22)           5 with value (4 27)
% 28.83/29.09  ;    18 with value (4 18)         13 with value (4 23)           2 with value (4 30)
% 28.83/29.09  Evaluation took:
% 28.83/29.09    28.713 seconds of real time
% 28.83/29.09    27.490639 seconds of user run time
% 28.83/29.09    1.216763 seconds of system run time
% 28.83/29.09    [Run times include 1.07 seconds GC run time.]
% 28.83/29.09    0 calls to %EVAL
% 28.83/29.09    0 page faults and
% 28.83/29.09    3,374,995,128 bytes consed.
% 28.83/29.09  :PROOF-FOUND
% 28.83/29.09  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:43:55
% 28.83/29.09  :PROOF-FOUND
% 28.83/29.09  * 
%------------------------------------------------------------------------------