TSTP Solution File: GRP133-1.003 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% 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 : Sat Jul 16 11:37:02 EDT 2022

% Result   : Unsatisfiable 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   60 (  12 unt;  44 nHn;  60 RR)
%            Number of literals    :  173 (   0 equ;  16 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

cnf(product_total_function1,axiom,
    ( ~ group_element(X)
    | ~ group_element(Y)
    | product(X,Y,e_1)
    | product(X,Y,e_2)
    | product(X,Y,e_3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

cnf(product_total_function2,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

cnf(product_right_cancellation,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(product_left_cancellation,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(X,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(qg3,negated_conjecture,
    ( ~ product(X,Y,Z)
    | ~ product(Y,X,U)
    | product(Z,U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).

cnf(15,plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_3]) ).

cnf(16,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]) ).

cnf(17,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]) ).

cnf(18,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_3]) ).

cnf(20,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).

cnf(21,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]) ).

cnf(22,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).

cnf(23,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]) ).

cnf(27,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,16,15]),e_2_is_not_e_3]) ).

cnf(30,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,17,15]),e_1_is_not_e_3]) ).

cnf(31,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,17,16]),e_1_is_not_e_2]) ).

cnf(34,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,18,15]),e_2_is_not_e_3]) ).

cnf(50,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,21,15]),e_1_is_not_e_3]) ).

cnf(51,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,21,18]),e_1_is_not_e_2]) ).

cnf(64,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_3,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,23,23]) ).

cnf(65,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,17]),e_1_is_not_e_3]) ).

cnf(66,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,20]),e_1_is_not_e_2]) ).

cnf(67,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,23,21]),e_1_is_not_e_3]) ).

cnf(68,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,23,22]),e_1_is_not_e_2]) ).

cnf(76,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_1)
    | product(e_2,e_2,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,27,27]) ).

cnf(78,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_3,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,31,30]),e_2_is_not_e_3]) ).

cnf(80,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_2,e_2,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,34,34]) ).

cnf(99,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,51,50]),e_2_is_not_e_3]) ).

cnf(115,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,66,65]),e_2_is_not_e_3]) ).

cnf(119,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,68,67]),e_2_is_not_e_3]) ).

cnf(122,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_1,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,76,76]) ).

cnf(124,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,78,78]) ).

cnf(125,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_2,e_3)
    | product(e_1,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,80,80]) ).

cnf(127,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,99,99]) ).

cnf(128,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,115,64]),e_1_is_not_e_3]) ).

cnf(132,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,119,64]),e_1_is_not_e_3]) ).

cnf(133,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,132,128]) ).

cnf(134,plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,133,133]) ).

cnf(136,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_1,e_1,e_3) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,122,16]),e_2_is_not_e_3]) ).

cnf(150,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_1,e_1,e_3) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,124,136]),e_1_is_not_e_2]) ).

cnf(151,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,150,134]),e_3_is_not_e_2]) ).

cnf(154,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,151,133]),e_3_is_not_e_2]) ).

cnf(159,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_1,e_1,e_3) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,125,18]),e_2_is_not_e_3]) ).

cnf(176,plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,127,159]),e_1_is_not_e_2]) ).

cnf(177,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,176,150]) ).

cnf(178,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,176,134]),e_3_is_not_e_2]) ).

cnf(188,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,178,154]) ).

cnf(189,plain,
    product(e_1,e_1,e_1),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,188,133]),e_3_is_not_e_2]) ).

cnf(207,plain,
    ~ product(e_3,e_1,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,189,e_1_is_not_e_3]) ).

cnf(221,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference('REWRITE',[status(thm)],[177,207]) ).

cnf(242,plain,
    ~ product(e_1,e_3,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,189,e_1_is_not_e_3]) ).

cnf(243,plain,
    product(e_1,e_1,e_3),
    inference('REWRITE',[status(thm)],[221,242]) ).

cnf(250,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_total_function2,189,e_1_is_not_e_3]),243]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 12:05:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.48  * 
% 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 2022-06-14T12:05:39
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-14T12:05:39
% 0.54/0.72  
% 0.54/0.72  
% 0.54/0.72  #||
% 0.54/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.72  % SZS output start Refutation
% See solution above
% 0.54/0.72  ||#
% 0.54/0.72  
% 0.54/0.72  ; Summary of computation:
% 0.54/0.72  ;      2348 formulas have been input or derived (from 90 formulas).
% 0.54/0.72  ;       250 (11%) were retained.  Of these,
% 0.54/0.72  ;          215 (86%) were simplified or subsumed later,
% 0.54/0.72  ;           35 (14%) are still being kept.
% 0.54/0.72  ; 
% 0.54/0.72  ; Run time in seconds excluding printing time:
% 0.54/0.72  ;     0.002   1%   Read assertion file          (1 call)
% 0.54/0.72  ;     0.000   0%   Assert                       (14 calls)
% 0.54/0.72  ;     0.024  10%   Process new row              (2,042 calls)
% 0.54/0.72  ;     0.047  20%   Resolution                   (178 calls)
% 0.54/0.72  ;     0.000   0%   Paramodulation               (89 calls)
% 0.54/0.72  ;     0.000   0%   Factoring                    (71 calls)
% 0.54/0.72  ;     0.002   1%   Condensing                   (947 calls)
% 0.54/0.72  ;     0.070  30%   Forward subsumption          (947 calls)
% 0.54/0.72  ;     0.013   6%   Backward subsumption         (225 calls)
% 0.54/0.72  ;     0.017   7%   Clause clause subsumption    (7,900 calls)
% 0.54/0.72  ;     0.023  10%   Forward simplification       (1,440 calls)
% 0.54/0.72  ;     0.003   1%   Backward simplification      (250 calls)
% 0.54/0.72  ;     0.003   1%   Ordering                     (1,905 calls)
% 0.54/0.72  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.54/0.72  ;     0.000   0%   Purity testing               (1 call)
% 0.54/0.72  ;     0.032  14%   Other
% 0.54/0.72  ;     0.236        Total
% 0.54/0.72  ;     0.241        Real time
% 0.54/0.72  ; 
% 0.54/0.72  ; Term-hash-array has 53 terms in all.
% 0.54/0.72  ; Feature-vector-row-index has 10 entries (86 at peak, 225 added, 215 deleted).
% 0.54/0.72  ; Feature-vector-row-index has 34 nodes (272 at peak, 559 added, 525 deleted).
% 0.54/0.72  ;  Retrieved 12,724 possibly forward subsuming rows in 947 calls.
% 0.54/0.72  ;  Retrieved 2,122 possibly backward subsumed rows in 225 calls.
% 0.54/0.72  ; Path-index has 51 entries (56 at peak, 64 added, 13 deleted).
% 0.54/0.72  ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.54/0.72  ; Trie-index has 51 entries (56 at peak, 64 added, 13 deleted).
% 0.54/0.72  ; Trie-index has 65 nodes (70 at peak, 78 added, 13 deleted).
% 0.54/0.72  ; Retrieved 988 generalization terms in 1,207 calls.
% 0.54/0.72  ; Retrieved 24 instance terms in 24 calls.
% 0.54/0.72  ; Retrieved 5,418 unifiable terms in 1,166 calls.
% 0.54/0.72  ; 
% 0.54/0.72  ; The agenda of rows to process has 19 entries:
% 0.54/0.72  ;     7 with value 16              4 with value 21               6 with value 25
% 0.54/0.72  ;     2 with value 20
% 0.54/0.72  ; The agenda of rows to give has 13 entries:
% 0.54/0.72  ;     1 with value (4 12)          5 with value (4 16)           2 with value (4 27)
% 0.54/0.72  ;     5 with value (4 13)
% 0.54/0.72  Evaluation took:
% 0.54/0.72    0.242 seconds of real time
% 0.54/0.72    0.214809 seconds of user run time
% 0.54/0.72    0.0271 seconds of system run time
% 0.54/0.72    [Run times include 0.004 seconds GC run time.]
% 0.54/0.72    0 calls to %EVAL
% 0.54/0.72    0 page faults and
% 0.54/0.72    22,161,600 bytes consed.
% 0.54/0.72  :PROOF-FOUND
% 0.54/0.72  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T12:05:40
% 0.54/0.72  :PROOF-FOUND
% 0.54/0.72  * 
%------------------------------------------------------------------------------