TSTP Solution File: KLE010+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Sun Jul 17 02:26:06 EDT 2022

% Result   : Theorem 2.55s 2.80s
% Output   : Refutation 2.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   68 (  57 unt;   0 nHn;  58 RR)
%            Number of literals    :   84 (  52 equ;  21 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    addition(X,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

cnf(3,plain,
    addition(X,addition(X,Y)) = addition(X,Y),
    inference('EMBED',[status(thm)],[2]) ).

cnf(6,axiom,
    multiplication(one,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

cnf(8,axiom,
    multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

cnf(11,axiom,
    ( ~ leq(X,Y)
    | addition(X,Y) = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).

cnf(12,axiom,
    ( leq(X,Y)
    | addition(X,Y) != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).

cnf(13,axiom,
    ( ~ test(X)
    | complement('SKOLEMAAAU1'(X),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).

cnf(14,axiom,
    ( test(X)
    | ~ complement(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).

cnf(15,axiom,
    ( ~ complement(X,Y)
    | multiplication(Y,X) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

cnf(16,axiom,
    ( ~ complement(X,Y)
    | multiplication(X,Y) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

cnf(17,axiom,
    ( ~ complement(X,Y)
    | addition(X,Y) = one ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

cnf(18,axiom,
    ( complement(X,Y)
    | multiplication(Y,X) != zero
    | multiplication(X,Y) != zero
    | addition(X,Y) != one ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

cnf(19,axiom,
    ( ~ test(X)
    | c(X) != Y
    | complement(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).

cnf(20,axiom,
    ( ~ test(X)
    | c(X) = Y
    | ~ complement(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).

cnf(22,axiom,
    ( ~ test(X)
    | ~ test(Y)
    | c(addition(X,Y)) = multiplication(c(X),c(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).

cnf(24,negated_conjecture,
    test('SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(25,negated_conjecture,
    test('SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(26,negated_conjecture,
    one != addition(multiplication('SKOLEMAAAU3','SKOLEMAAAU2'),addition(multiplication(c('SKOLEMAAAU3'),'SKOLEMAAAU2'),addition(multiplication('SKOLEMAAAU2','SKOLEMAAAU3'),addition(multiplication(c('SKOLEMAAAU2'),'SKOLEMAAAU3'),multiplication(c('SKOLEMAAAU2'),c('SKOLEMAAAU3')))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(27,plain,
    complement('SKOLEMAAAU1'('SKOLEMAAAU3'),'SKOLEMAAAU3'),
    inference('HYPERRESOLVE',[status(thm)],[13,24]) ).

cnf(28,plain,
    complement('SKOLEMAAAU1'('SKOLEMAAAU2'),'SKOLEMAAAU2'),
    inference('HYPERRESOLVE',[status(thm)],[13,25]) ).

cnf(32,plain,
    leq(X,addition(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[12,3]) ).

cnf(36,plain,
    complement('SKOLEMAAAU3',c('SKOLEMAAAU3')),
    inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).

cnf(37,plain,
    complement('SKOLEMAAAU2',c('SKOLEMAAAU2')),
    inference('HYPERRESOLVE',[status(thm)],[19,25,theory(equality)]) ).

cnf(51,plain,
    c(addition('SKOLEMAAAU3','SKOLEMAAAU2')) = multiplication(c('SKOLEMAAAU3'),c('SKOLEMAAAU2')),
    inference('HYPERRESOLVE',[status(thm)],[22,24,25]) ).

cnf(52,plain,
    c(addition('SKOLEMAAAU3','SKOLEMAAAU2')) = multiplication(c('SKOLEMAAAU2'),c('SKOLEMAAAU3')),
    inference('HYPERRESOLVE',[status(thm)],[22,25,24]) ).

cnf(53,plain,
    one != addition(multiplication('SKOLEMAAAU3','SKOLEMAAAU2'),addition(multiplication(c('SKOLEMAAAU3'),'SKOLEMAAAU2'),addition(multiplication('SKOLEMAAAU2','SKOLEMAAAU3'),addition(multiplication(c('SKOLEMAAAU2'),'SKOLEMAAAU3'),c(addition('SKOLEMAAAU3','SKOLEMAAAU2')))))),
    inference('REWRITE',[status(thm)],[26,52,theory(equality)]) ).

cnf(136,plain,
    addition('SKOLEMAAAU1'('SKOLEMAAAU3'),'SKOLEMAAAU3') = one,
    inference('HYPERRESOLVE',[status(thm)],[17,27]) ).

cnf(138,plain,
    multiplication('SKOLEMAAAU1'('SKOLEMAAAU3'),'SKOLEMAAAU3') = zero,
    inference('HYPERRESOLVE',[status(thm)],[16,27]) ).

cnf(139,plain,
    multiplication('SKOLEMAAAU3','SKOLEMAAAU1'('SKOLEMAAAU3')) = zero,
    inference('HYPERRESOLVE',[status(thm)],[15,27]) ).

cnf(141,plain,
    addition('SKOLEMAAAU1'('SKOLEMAAAU2'),'SKOLEMAAAU2') = one,
    inference('HYPERRESOLVE',[status(thm)],[17,28]) ).

cnf(143,plain,
    multiplication('SKOLEMAAAU1'('SKOLEMAAAU2'),'SKOLEMAAAU2') = zero,
    inference('HYPERRESOLVE',[status(thm)],[16,28]) ).

cnf(144,plain,
    multiplication('SKOLEMAAAU2','SKOLEMAAAU1'('SKOLEMAAAU2')) = zero,
    inference('HYPERRESOLVE',[status(thm)],[15,28]) ).

cnf(146,plain,
    test(c('SKOLEMAAAU3')),
    inference('HYPERRESOLVE',[status(thm)],[14,36]) ).

cnf(151,plain,
    test(c('SKOLEMAAAU2')),
    inference('HYPERRESOLVE',[status(thm)],[14,37]) ).

cnf(152,plain,
    addition('SKOLEMAAAU2',c('SKOLEMAAAU2')) = one,
    inference('HYPERRESOLVE',[status(thm)],[17,37]) ).

cnf(164,plain,
    c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')) = multiplication(c(c('SKOLEMAAAU3')),c('SKOLEMAAAU2')),
    inference('HYPERRESOLVE',[status(thm)],[22,146,25]) ).

cnf(167,plain,
    c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')) = multiplication(c('SKOLEMAAAU2'),c(c('SKOLEMAAAU3'))),
    inference('HYPERRESOLVE',[status(thm)],[22,146,25]) ).

cnf(187,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication(c(c('SKOLEMAAAU2')),c(c('SKOLEMAAAU3'))),
    inference('HYPERRESOLVE',[status(thm)],[22,151,146]) ).

cnf(189,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication(c(c('SKOLEMAAAU3')),c(c('SKOLEMAAAU2'))),
    inference('HYPERRESOLVE',[status(thm)],[22,151,146]) ).

cnf(204,plain,
    leq('SKOLEMAAAU3',one),
    inference('PARAMODULATE',[status(thm)],[32,136,theory(equality)]) ).

cnf(208,plain,
    X = addition(multiplication('SKOLEMAAAU1'('SKOLEMAAAU3'),X),multiplication('SKOLEMAAAU3',X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,136,theory(equality)]),6,theory(equality)]) ).

cnf(212,plain,
    complement('SKOLEMAAAU3','SKOLEMAAAU1'('SKOLEMAAAU3')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,136,theory(equality)]),139,138,theory(equality)]) ).

cnf(213,plain,
    addition(one,'SKOLEMAAAU3') = one,
    inference('HYPERRESOLVE',[status(thm)],[11,204]) ).

cnf(218,plain,
    c('SKOLEMAAAU3') = 'SKOLEMAAAU1'('SKOLEMAAAU3'),
    inference('HYPERRESOLVE',[status(thm)],[20,212,24]) ).

cnf(219,plain,
    complement(c('SKOLEMAAAU3'),'SKOLEMAAAU3'),
    inference('REWRITE',[status(thm)],[27,218,theory(equality)]) ).

cnf(224,plain,
    X = addition(multiplication(c('SKOLEMAAAU3'),X),multiplication('SKOLEMAAAU3',X)),
    inference('REWRITE',[status(thm)],[208,218,theory(equality)]) ).

cnf(240,plain,
    one != addition(multiplication('SKOLEMAAAU2','SKOLEMAAAU3'),addition(multiplication(c('SKOLEMAAAU2'),'SKOLEMAAAU3'),addition(c(addition('SKOLEMAAAU3','SKOLEMAAAU2')),'SKOLEMAAAU2'))),
    inference('REWRITE',[status(thm)],[53,224,theory(equality)]) ).

cnf(243,plain,
    c(c('SKOLEMAAAU3')) = 'SKOLEMAAAU3',
    inference('HYPERRESOLVE',[status(thm)],[20,219,146]) ).

cnf(245,plain,
    c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')) = multiplication('SKOLEMAAAU3',c('SKOLEMAAAU2')),
    inference('REWRITE',[status(thm)],[164,243,theory(equality)]) ).

cnf(250,plain,
    c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')) = multiplication(c('SKOLEMAAAU2'),'SKOLEMAAAU3'),
    inference('REWRITE',[status(thm)],[167,243,theory(equality)]) ).

cnf(281,plain,
    one != addition(multiplication('SKOLEMAAAU2','SKOLEMAAAU3'),addition(c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')),addition(c(addition('SKOLEMAAAU3','SKOLEMAAAU2')),'SKOLEMAAAU2'))),
    inference('REWRITE',[status(thm)],[240,250,theory(equality)]) ).

cnf(290,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication(c(c('SKOLEMAAAU2')),'SKOLEMAAAU3'),
    inference('REWRITE',[status(thm)],[187,243,theory(equality)]) ).

cnf(291,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication('SKOLEMAAAU3',c(c('SKOLEMAAAU2'))),
    inference('REWRITE',[status(thm)],[189,243,theory(equality)]) ).

cnf(295,plain,
    leq('SKOLEMAAAU2',one),
    inference('PARAMODULATE',[status(thm)],[32,141,theory(equality)]) ).

cnf(303,plain,
    complement('SKOLEMAAAU2','SKOLEMAAAU1'('SKOLEMAAAU2')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,141,theory(equality)]),144,143,theory(equality)]) ).

cnf(304,plain,
    addition(one,'SKOLEMAAAU2') = one,
    inference('HYPERRESOLVE',[status(thm)],[11,295]) ).

cnf(305,plain,
    addition('SKOLEMAAAU2',addition(one,X)) = addition(one,X),
    inference('EMBED',[status(thm)],[304]) ).

cnf(309,plain,
    c('SKOLEMAAAU2') = 'SKOLEMAAAU1'('SKOLEMAAAU2'),
    inference('HYPERRESOLVE',[status(thm)],[20,303,25]) ).

cnf(310,plain,
    complement(c('SKOLEMAAAU2'),'SKOLEMAAAU2'),
    inference('REWRITE',[status(thm)],[28,309,theory(equality)]) ).

cnf(319,plain,
    c(c('SKOLEMAAAU2')) = 'SKOLEMAAAU2',
    inference('HYPERRESOLVE',[status(thm)],[20,310,151]) ).

cnf(347,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication('SKOLEMAAAU2','SKOLEMAAAU3'),
    inference('REWRITE',[status(thm)],[290,319,theory(equality)]) ).

cnf(363,plain,
    one != addition(c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))),addition(c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2')),addition(c(addition('SKOLEMAAAU3','SKOLEMAAAU2')),'SKOLEMAAAU2'))),
    inference('REWRITE',[status(thm)],[281,347,theory(equality)]) ).

cnf(380,plain,
    c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2'))) = multiplication('SKOLEMAAAU3','SKOLEMAAAU2'),
    inference('REWRITE',[status(thm)],[291,319,theory(equality)]) ).

cnf(447,plain,
    X = addition(X,multiplication('SKOLEMAAAU3',X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,213,theory(equality)]),6,theory(equality)]) ).

cnf(448,plain,
    addition(X,addition(multiplication('SKOLEMAAAU3',X),Y)) = addition(X,Y),
    inference('EMBED',[status(thm)],[447]) ).

cnf(637,plain,
    one = addition(one,c(addition(c('SKOLEMAAAU3'),c('SKOLEMAAAU2')))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[305,448,theory(equality)]),380,304,theory(equality)]) ).

cnf(1536,plain,
    c('SKOLEMAAAU2') = addition(c(addition('SKOLEMAAAU3','SKOLEMAAAU2')),c(addition(c('SKOLEMAAAU3'),'SKOLEMAAAU2'))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,51,theory(equality)]),245,theory(equality)]) ).

cnf(1542,plain,
    $false,
    inference('REWRITE',[status(thm)],[363,637,152,1536,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 16:04:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T16:04:02
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T16:04:02
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.18/0.48  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.18/0.48  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.18/0.48  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.18/0.48  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.18/0.48  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.48  ; Declaring addition to be commutative.
% 2.55/2.80  ; Declaring addition to be associative-commutative.
% 2.55/2.80  
% 2.55/2.80  #||
% 2.55/2.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.80  % SZS output start Refutation
% See solution above
% 2.63/2.81  ||#
% 2.63/2.81  
% 2.63/2.81  ; Summary of computation:
% 2.63/2.81  ;     10925 formulas have been input or derived (from 201 formulas).
% 2.63/2.81  ;      1542 (14%) were retained.  Of these,
% 2.63/2.81  ;          270 (18%) were simplified or subsumed later,
% 2.63/2.81  ;         1272 (82%) are still being kept.
% 2.63/2.81  ; 
% 2.63/2.81  ; Run time in seconds excluding printing time:
% 2.63/2.81  ;     0.005   0%   Read assertion file          (1 call)
% 2.63/2.81  ;     0.002   0%   Assert                       (19 calls)
% 2.63/2.81  ;     0.146   6%   Process new row              (10,550 calls)
% 2.63/2.81  ;     0.047   2%   Resolution                   (400 calls)
% 2.63/2.81  ;     0.115   5%   Paramodulation               (200 calls)
% 2.63/2.81  ;     0.000   0%   Factoring                    (4 calls)
% 2.63/2.81  ;     0.001   0%   Embedding                    (118 calls)
% 2.63/2.81  ;     0.056   2%   Condensing                   (992 calls)
% 2.63/2.81  ;     0.055   2%   Forward subsumption          (992 calls)
% 2.63/2.81  ;     0.015   1%   Backward subsumption         (412 calls)
% 2.63/2.81  ;     0.028   1%   Clause clause subsumption    (3,048 calls)
% 2.63/2.81  ;     1.740  74%   Forward simplification       (10,407 calls)
% 2.63/2.81  ;     0.039   2%   Backward simplification      (1,439 calls)
% 2.63/2.81  ;     0.020   1%   Ordering                     (6,312 calls)
% 2.63/2.81  ;     0.004   0%   Ordering ac                  (891 calls)
% 2.63/2.81  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.63/2.81  ;     0.000   0%   Purity testing               (1 call)
% 2.63/2.81  ;     0.064   3%   Other
% 2.63/2.81  ;     2.337        Total
% 2.63/2.81  ;     2.343        Real time
% 2.63/2.81  ; 
% 2.63/2.81  ; Term-hash-array has 3,102 terms in all.
% 2.63/2.81  ; Feature-vector-row-index has 382 entries (383 at peak, 412 added, 30 deleted).
% 2.63/2.81  ; Feature-vector-row-index has 1,740 nodes (1,755 at peak, 1,954 added, 214 deleted).
% 2.63/2.81  ;  Retrieved 3,955 possibly forward subsuming rows in 992 calls.
% 2.63/2.81  ;  Retrieved 518 possibly backward subsumed rows in 412 calls.
% 2.63/2.81  ; Path-index has 2,659 entries (2,672 at peak, 3,176 added, 517 deleted).
% 2.63/2.81  ; Path-index has 805 nodes (805 at peak, 1,072 added, 267 deleted).
% 2.63/2.81  ; Trie-index has 2,659 entries (2,672 at peak, 3,176 added, 517 deleted).
% 2.63/2.81  ; Trie-index has 1,412 nodes (1,418 at peak, 1,890 added, 478 deleted).
% 2.63/2.81  ; Retrieved 1,886,883 generalization terms in 68,565 calls.
% 2.63/2.81  ; Retrieved 3,138 instance terms in 1,044 calls.
% 2.63/2.81  ; Retrieved 42,502 unifiable terms in 2,392 calls.
% 2.63/2.81  ; 
% 2.63/2.81  ; The agenda of backward simplifiable rows to process has 11 entries:
% 2.63/2.81  ;    11 with value 0
% 2.63/2.81  ; The agenda of rows to process has 20 entries:
% 2.63/2.81  ;     2 with value 22              3 with value 25               1 with value 30
% 2.63/2.81  ;     2 with value 23              2 with value 26               2 with value 47
% 2.63/2.81  ;     7 with value 24              1 with value 27
% 2.63/2.81  ; The agenda of rows to give has 1095 entries:
% 2.63/2.81  ;    39 with value (4 17)         36 with value (4 32)           8 with value (4 56)
% 2.63/2.81  ;    40 with value (4 18)         22 with value (4 33)           8 with value (4 58)
% 2.63/2.81  ;    90 with value (4 19)         36 with value (4 34)           5 with value (4 59)
% 2.63/2.81  ;   108 with value (4 20)          8 with value (4 35)           1 with value (4 61)
% 2.63/2.81  ;    78 with value (4 21)         24 with value (4 36)           4 with value (4 62)
% 2.63/2.81  ;    33 with value (4 22)         12 with value (4 37)           8 with value (4 63)
% 2.63/2.81  ;    71 with value (4 23)          5 with value (4 38)           8 with value (4 65)
% 2.63/2.81  ;    64 with value (4 24)         16 with value (4 39)           8 with value (4 70)
% 2.63/2.81  ;    95 with value (4 25)          2 with value (4 41)           8 with value (4 77)
% 2.63/2.81  ;    50 with value (4 26)          8 with value (4 42)           2 with value (4 79)
% 2.63/2.81  ;    54 with value (4 27)          4 with value (4 45)           8 with value (4 84)
% 2.63/2.81  ;    33 with value (4 28)          2 with value (4 51)           8 with value (4 97)
% 2.63/2.81  ;    28 with value (4 29)          8 with value (4 53)           8 with value (4 104)
% 2.63/2.81  ;    24 with value (4 30)          4 with value (4 55)           1 with value (4 107)
% 2.63/2.81  ;    16 with value (4 31)
% 2.63/2.81  Evaluation took:
% 2.63/2.81    2.343 seconds of real time
% 2.63/2.81    2.247556 seconds of user run time
% 2.63/2.81    0.094892 seconds of system run time
% 2.63/2.81    [Run times include 0.1 seconds GC run time.]
% 2.63/2.81    0 calls to %EVAL
% 2.63/2.81    0 page faults and
% 2.63/2.81    258,488,640 bytes consed.
% 2.63/2.81  :PROOF-FOUND
% 2.63/2.81  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T16:04:05
% 2.63/2.81  :PROOF-FOUND
% 2.63/2.81  * 
%------------------------------------------------------------------------------