TSTP Solution File: COM003_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM003_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 : Fri Jul 15 01:42:06 EDT 2022

% Result   : Theorem 0.37s 0.58s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   47 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  372 (   0 equ)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  133 (  55   ~;  78   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  247 ( 247 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  19 usr;  10 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   67 (   0 sgn  67   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
tff(1,axiom,
    ! [X: algorithm,Y: program,Z: input] :
      ( ~ decides(X,'SKOLEMAAAV1.program'(X),'SKOLEMAAAV2.input'(X))
      | decides(algorithm_of('SKOLEMAAAV3.program'),Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

tff(2,axiom,
    ! [X: program,Y: program,Z: input,U: program,V: input] :
      ( ~ decides(algorithm_of(X),Y,Z)
      | ~ halts2(U,V)
      | halts3(X,U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

tff(3,axiom,
    ! [X: program,Y: program,Z: input,U: program,V: input] :
      ( ~ decides(algorithm_of(X),Y,Z)
      | ~ halts2(U,V)
      | outputs(X,good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

tff(4,axiom,
    ! [X: program,Y: program,Z: input,U: program,V: input] :
      ( ~ decides(algorithm_of(X),Y,Z)
      | halts2(U,V)
      | halts3(X,U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

tff(5,axiom,
    ! [X: program,Y: program,Z: input,U: program,V: input] :
      ( ~ decides(algorithm_of(X),Y,Z)
      | halts2(U,V)
      | outputs(X,bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

tff(6,axiom,
    ! [X: program,Y: program] :
      ( halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,bad)
      | ~ halts2(Y,as_input(Y))
      | halts2('SKOLEMAAAV5.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(8,axiom,
    ! [X: program,Y: program] :
      ( halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,bad)
      | halts2(Y,as_input(Y))
      | halts2('SKOLEMAAAV5.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(9,axiom,
    ! [X: program,Y: program] :
      ( halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,bad)
      | halts2(Y,as_input(Y))
      | outputs('SKOLEMAAAV5.program',bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(10,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,bad)
      | outputs('SKOLEMAAAV5.program',bad) ),
    inference('CONDENSE',[status(thm)],[9]) ).

tff(12,axiom,
    ! [X: program,Y: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ halts2(Y,as_input(Y))
      | outputs('SKOLEMAAAV5.program',good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(13,plain,
    ! [X: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | outputs('SKOLEMAAAV5.program',good) ),
    inference('CONDENSE',[status(thm)],[12]) ).

tff(15,axiom,
    ! [X: program,Y: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ halts2('SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | halts2(Y,as_input(Y))
      | outputs('SKOLEMAAAV5.program',bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(16,axiom,
    ! [X: program,Y: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ outputs(X,bad)
      | ~ halts2(Y,as_input(Y))
      | halts2('SKOLEMAAAV5.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(17,axiom,
    ! [X: program,Y: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ outputs(X,bad)
      | ~ halts2(Y,as_input(Y))
      | outputs('SKOLEMAAAV5.program',good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(18,axiom,
    ! [X: program,Y: program] :
      ( ~ halts3(X,'SKOLEMAAAV4.program'(X),as_input('SKOLEMAAAV4.program'(X)))
      | ~ outputs(X,good)
      | ~ outputs(X,bad)
      | halts2(Y,as_input(Y))
      | halts2('SKOLEMAAAV5.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

tff(24,axiom,
    ! [X: program,Y: program] :
      ( ~ halts2(X,as_input('SKOLEMAAAV6.program'(X)))
      | ~ outputs(X,good)
      | ~ halts2('SKOLEMAAAV6.program'(X),as_input('SKOLEMAAAV6.program'(X)))
      | ~ halts2(Y,as_input(Y))
      | ~ halts2('SKOLEMAAAV7.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

tff(27,axiom,
    ! [X: program,Y: program] :
      ( ~ halts2(X,as_input('SKOLEMAAAV6.program'(X)))
      | ~ outputs(X,good)
      | ~ outputs(X,bad)
      | ~ halts2(Y,as_input(Y))
      | ~ halts2('SKOLEMAAAV7.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

tff(28,axiom,
    ! [X: program,Y: program] :
      ( ~ halts2(X,as_input('SKOLEMAAAV6.program'(X)))
      | ~ outputs(X,good)
      | ~ outputs(X,bad)
      | halts2(Y,as_input(Y))
      | halts2('SKOLEMAAAV7.program',as_input(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

tff(30,negated_conjecture,
    ! [X: program,Y: input] : decides('SKOLEMAAAV8.algorithm',X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(31,plain,
    ! [X: program,Y: input] : decides(algorithm_of('SKOLEMAAAV3.program'),X,Y),
    inference('HYPERRESOLVE',[status(thm)],[1,30]) ).

tff(32,plain,
    ! [X: program,Y: input] :
      ( halts2(X,Y)
      | outputs('SKOLEMAAAV3.program',bad) ),
    inference('HYPERRESOLVE',[status(thm)],[5,31]) ).

tff(33,plain,
    ! [X: program,Y: input] :
      ( halts2(X,Y)
      | halts3('SKOLEMAAAV3.program',X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[4,31]) ).

tff(34,plain,
    ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
    | outputs('SKOLEMAAAV5.program',bad) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,33,32])]) ).

tff(35,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
      | halts2(X,as_input(X))
      | halts2('SKOLEMAAAV5.program',as_input(X)) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,33,32])]) ).

tff(37,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
      | halts2('SKOLEMAAAV5.program',as_input(X)) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,35,33,32])]) ).

tff(38,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV5.program',as_input(X))
      | outputs('SKOLEMAAAV3.program',good) ),
    inference('HYPERRESOLVE',[status(thm)],[3,37,31]) ).

tff(40,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV5.program',as_input(X))
      | halts3('SKOLEMAAAV3.program','SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'))) ),
    inference('HYPERRESOLVE',[status(thm)],[2,37,31]) ).

tff(46,plain,
    ! [X: program] :
      ( halts2(X,as_input(X))
      | halts2('SKOLEMAAAV5.program',as_input(X)) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,40,38,32])]) ).

tff(47,plain,
    halts2('SKOLEMAAAV5.program',as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'))),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,40,38,32,37])]) ).

tff(48,plain,
    outputs('SKOLEMAAAV3.program',good),
    inference('HYPERRESOLVE',[status(thm)],[3,47,31]) ).

tff(53,plain,
    ! [X: program] : halts2('SKOLEMAAAV5.program',as_input(X)),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,46,40,48,32])]) ).

tff(55,plain,
    ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
    | outputs('SKOLEMAAAV5.program',good) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,53,33,48,32])]) ).

tff(57,plain,
    ! [X: program] :
      ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
      | halts2(X,as_input(X))
      | halts2('SKOLEMAAAV7.program',as_input(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[28,55,53,34]) ).

tff(58,plain,
    ( halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program')))
    | halts2('SKOLEMAAAV7.program',as_input('SKOLEMAAAV7.program')) ),
    inference('FACTOR',[status(thm)],[57]) ).

tff(63,plain,
    ( halts2('SKOLEMAAAV7.program',as_input('SKOLEMAAAV7.program'))
    | halts3('SKOLEMAAAV3.program','SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'))) ),
    inference('HYPERRESOLVE',[status(thm)],[2,58,31]) ).

tff(65,plain,
    ( halts2('SKOLEMAAAV7.program',as_input('SKOLEMAAAV7.program'))
    | outputs('SKOLEMAAAV5.program',good) ),
    inference('HYPERRESOLVE',[status(thm)],[13,63,48,58]) ).

tff(66,plain,
    ( halts2('SKOLEMAAAV7.program',as_input('SKOLEMAAAV7.program'))
    | outputs('SKOLEMAAAV5.program',bad) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,63,48,58])]) ).

tff(68,plain,
    halts2('SKOLEMAAAV7.program',as_input('SKOLEMAAAV7.program')),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,66,53,65])]) ).

tff(70,plain,
    halts2('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'))),
    inference('HYPERRESOLVE',[status(thm)],[27,68,53,55,34,68]) ).

tff(71,plain,
    halts3('SKOLEMAAAV3.program','SKOLEMAAAV4.program'('SKOLEMAAAV3.program'),as_input('SKOLEMAAAV4.program'('SKOLEMAAAV3.program'))),
    inference('HYPERRESOLVE',[status(thm)],[2,70,31]) ).

tff(72,plain,
    outputs('SKOLEMAAAV5.program',good),
    inference('HYPERRESOLVE',[status(thm)],[13,71,48,70]) ).

tff(73,plain,
    ! [X: program] :
      ( halts2(X,as_input(X))
      | outputs('SKOLEMAAAV5.program',bad) ),
    inference('HYPERRESOLVE',[status(thm)],[15,71,48,70]) ).

tff(74,plain,
    ~ outputs('SKOLEMAAAV5.program',bad),
    inference('UR-RESOLVE',[status(thm)],[27,72,53,68,68]) ).

tff(75,plain,
    ! [X: program] : halts2(X,as_input(X)),
    inference('REWRITE',[status(thm)],[73,74]) ).

tff(76,plain,
    ! [X: program,Y: program] :
      ( ~ halts2(X,as_input('SKOLEMAAAV6.program'(X)))
      | ~ outputs(X,good)
      | ~ halts2('SKOLEMAAAV7.program',as_input(Y)) ),
    inference('REWRITE',[status(thm)],[24,75]) ).

tff(77,plain,
    ! [X: program] : ~ halts2('SKOLEMAAAV7.program',as_input(X)),
    inference('UR-RESOLVE',[status(thm)],[76,53,72]) ).

cnf(79,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[77,75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM003_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n007.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 : Thu Jun 16 19:48:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:48:42
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T19:48:42
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Z is being rebound.
% 0.37/0.58  
% 0.37/0.58  
% 0.37/0.58  #||
% 0.37/0.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.58  % SZS output start Refutation
% See solution above
% 0.37/0.59  ||#
% 0.37/0.59  
% 0.37/0.59  ; Summary of computation:
% 0.37/0.59  ;       289 formulas have been input or derived (from 61 formulas).
% 0.37/0.59  ;        79 (27%) were retained.  Of these,
% 0.37/0.59  ;           62 (78%) were simplified or subsumed later,
% 0.37/0.59  ;           17 (22%) are still being kept.
% 0.37/0.59  ; 
% 0.37/0.59  ; Run time in seconds excluding printing time:
% 0.37/0.59  ;     0.004   4%   Read assertion file          (1 call)
% 0.37/0.59  ;     0.001   1%   Assert                       (5 calls)
% 0.37/0.59  ;     0.006   6%   Process new row              (252 calls)
% 0.37/0.59  ;     0.017  18%   Resolution                   (120 calls)
% 0.37/0.59  ;     0.000   0%   Paramodulation               (60 calls)
% 0.37/0.59  ;     0.000   0%   Factoring                    (18 calls)
% 0.37/0.59  ;     0.013  14%   Condensing                   (145 calls)
% 0.37/0.59  ;     0.009  10%   Forward subsumption          (142 calls)
% 0.37/0.59  ;     0.002   2%   Backward subsumption         (58 calls)
% 0.37/0.59  ;     0.000   0%   Clause clause subsumption    (125 calls)
% 0.37/0.59  ;     0.005   5%   Forward simplification       (186 calls)
% 0.37/0.59  ;     0.005   5%   Backward simplification      (76 calls)
% 0.37/0.59  ;     0.003   3%   Ordering                     (571 calls)
% 0.37/0.59  ;     0.002   2%   Sortal reasoning             (36 calls)
% 0.37/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.59  ;     0.027  29%   Other
% 0.37/0.59  ;     0.094        Total
% 0.37/0.59  ;     0.101        Real time
% 0.37/0.59  ; 
% 0.37/0.59  ; Term-hash-array has 54 terms in all.
% 0.37/0.59  ; Feature-vector-row-index has 6 entries (37 at peak, 58 added, 52 deleted).
% 0.37/0.59  ; Feature-vector-row-index has 25 nodes (339 at peak, 474 added, 449 deleted).
% 0.37/0.59  ;  Retrieved 187 possibly forward subsuming rows in 142 calls.
% 0.37/0.59  ;  Retrieved 22 possibly backward subsumed rows in 58 calls.
% 0.37/0.59  ; Path-index has 27 entries (51 at peak, 76 added, 49 deleted).
% 0.37/0.59  ; Path-index has 64 nodes (87 at peak, 102 added, 38 deleted).
% 0.37/0.59  ; Trie-index has 27 entries (51 at peak, 76 added, 49 deleted).
% 0.37/0.59  ; Trie-index has 56 nodes (106 at peak, 143 added, 87 deleted).
% 0.37/0.59  ; Retrieved 34 generalization terms in 376 calls.
% 0.37/0.59  ; Retrieved 33 instance terms in 17 calls.
% 0.37/0.59  ; Retrieved 4,772 unifiable terms in 1,490 calls.
% 0.37/0.59  ; 
% 0.37/0.59  ; The agenda of rows to process has 3 entries:
% 0.37/0.59  ;     1 with value 22              2 with value 25
% 0.37/0.59  ; The agenda of rows to give has 1 entry:
% 0.37/0.59  ;     1 with value (4 24)
% 0.37/0.59  Evaluation took:
% 0.37/0.59    0.101 seconds of real time
% 0.37/0.59    0.090967 seconds of user run time
% 0.37/0.59    0.010071 seconds of system run time
% 0.37/0.59    0 calls to %EVAL
% 0.37/0.59    0 page faults and
% 0.37/0.59    9,798,208 bytes consed.
% 0.37/0.59  :PROOF-FOUND
% 0.37/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T19:48:42
% 0.37/0.59  :PROOF-FOUND
% 0.37/0.59  * 
%------------------------------------------------------------------------------