TSTP Solution File: GRP205-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 11:37:32 EDT 2022

% Result   : Unsatisfiable 4.17s 4.35s
% Output   : Refutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   77 (  77 unt;   0 nHn;   5 RR)
%            Number of literals    :   77 (  76 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  139 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
    multiply(identity,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

cnf(right_identity,axiom,
    multiply(X,identity) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).

cnf(multiply_left_division,axiom,
    multiply(X,left_division(X,Y)) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).

cnf(left_division_multiply,axiom,
    left_division(X,multiply(X,Y)) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).

cnf(multiply_right_division,axiom,
    multiply(right_division(X,Y),Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_right_division) ).

cnf(right_division_multiply,axiom,
    right_division(multiply(X,Y),Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_division_multiply) ).

cnf(right_inverse,axiom,
    multiply(X,right_inverse(X)) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).

cnf(left_inverse,axiom,
    multiply(left_inverse(X),X) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

cnf(moufang3,axiom,
    multiply(multiply(multiply(X,Y),X),Z) = multiply(X,multiply(Y,multiply(X,Z))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang3) ).

cnf(prove_moufang4,negated_conjecture,
    multiply(x,multiply(multiply(y,z),x)) != multiply(multiply(x,y),multiply(z,x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang4) ).

cnf(15,plain,
    left_division(X,identity) = right_inverse(X),
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,right_inverse,theory(equality)]) ).

cnf(16,plain,
    right_inverse(left_inverse(X)) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[left_division_multiply,left_inverse,theory(equality)]),15,theory(equality)]) ).

cnf(19,plain,
    right_division(X,X) = identity,
    inference('PARAMODULATE',[status(thm)],[right_division_multiply,left_identity,theory(equality)]) ).

cnf(22,plain,
    right_division(X,left_division(Y,X)) = Y,
    inference('PARAMODULATE',[status(thm)],[right_division_multiply,multiply_left_division,theory(equality)]) ).

cnf(23,plain,
    multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[right_identity,moufang3,theory(equality)]),right_identity,theory(equality)]) ).

cnf(24,plain,
    multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[moufang3,right_identity,theory(equality)]),left_identity,theory(equality)]) ).

cnf(25,plain,
    multiply(X,Y) = multiply(X,multiply(right_inverse(X),multiply(X,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[moufang3,right_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(27,plain,
    multiply(multiply(X,Y),Z) = multiply(Y,multiply(left_division(Y,X),multiply(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[moufang3,multiply_left_division,theory(equality)]) ).

cnf(28,plain,
    multiply(multiply(multiply(X,Y),X),left_division(X,Z)) = multiply(X,multiply(Y,Z)),
    inference('PARAMODULATE',[status(thm)],[moufang3,multiply_left_division,theory(equality)]) ).

cnf(35,plain,
    multiply(multiply(multiply(left_inverse(X),Y),left_inverse(X)),X) = multiply(left_inverse(X),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[moufang3,left_inverse,theory(equality)]),right_identity,theory(equality)]) ).

cnf(45,plain,
    X = multiply(multiply(X,left_inverse(X)),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,left_inverse,theory(equality)]),right_identity,theory(equality)]) ).

cnf(48,plain,
    left_division(X,multiply(multiply(X,Y),X)) = multiply(Y,X),
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,23,theory(equality)]) ).

cnf(50,plain,
    left_division(multiply(X,Y),multiply(X,multiply(Y,X))) = X,
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,23,theory(equality)]) ).

cnf(73,plain,
    identity = multiply(X,left_inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[right_division_multiply,45,theory(equality)]),19,theory(equality)]) ).

cnf(74,plain,
    right_inverse(X) = left_inverse(X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[left_division_multiply,73,theory(equality)]),15,theory(equality)]) ).

cnf(75,plain,
    left_inverse(left_inverse(X)) = X,
    inference('REWRITE',[status(thm)],[16,74,theory(equality)]) ).

cnf(77,plain,
    multiply(X,Y) = multiply(X,multiply(left_inverse(X),multiply(X,Y))),
    inference('REWRITE',[status(thm)],[25,74,theory(equality)]) ).

cnf(79,plain,
    multiply(multiply(X,X),left_division(X,Y)) = multiply(X,Y),
    inference('PARAMODULATE',[status(thm)],[24,multiply_left_division,theory(equality)]) ).

cnf(84,plain,
    multiply(multiply(X,X),left_inverse(X)) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,73,theory(equality)]),right_identity,theory(equality)]) ).

cnf(108,plain,
    right_division(X,left_inverse(X)) = multiply(X,X),
    inference('PARAMODULATE',[status(thm)],[right_division_multiply,84,theory(equality)]) ).

cnf(123,plain,
    right_division(left_inverse(X),X) = multiply(left_inverse(X),left_inverse(X)),
    inference('PARAMODULATE',[status(thm)],[108,75,theory(equality)]) ).

cnf(147,plain,
    X = multiply(left_inverse(X),multiply(X,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48,84,theory(equality)]),50,theory(equality)]) ).

cnf(153,plain,
    left_division(left_inverse(X),X) = multiply(X,X),
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,147,theory(equality)]) ).

cnf(155,plain,
    right_division(left_inverse(X),X) = left_division(X,left_inverse(X)),
    inference('REWRITE',[status(thm)],[123,75,153,theory(equality)]) ).

cnf(169,plain,
    multiply(left_division(left_inverse(X),X),left_division(X,Y)) = multiply(X,Y),
    inference('REWRITE',[status(thm)],[79,153,theory(equality)]) ).

cnf(183,plain,
    right_division(X,left_inverse(X)) = left_division(left_inverse(X),X),
    inference('REWRITE',[status(thm)],[108,153,theory(equality)]) ).

cnf(228,plain,
    X = multiply(Y,multiply(left_inverse(Y),X)),
    inference('PARAMODULATE',[status(thm)],[77,multiply_left_division,theory(equality)]) ).

cnf(229,plain,
    left_division(X,Y) = multiply(left_inverse(X),Y),
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,228,theory(equality)]) ).

cnf(231,plain,
    multiply(multiply(left_division(X,Y),left_inverse(X)),X) = left_division(X,Y),
    inference('REWRITE',[status(thm)],[35,229,theory(equality)]) ).

cnf(232,plain,
    right_division(left_division(X,Y),Y) = left_inverse(X),
    inference('PARAMODULATE',[status(thm)],[right_division_multiply,229,theory(equality)]) ).

cnf(233,plain,
    left_division(left_inverse(X),left_division(X,Y)) = Y,
    inference('PARAMODULATE',[status(thm)],[left_division_multiply,229,theory(equality)]) ).

cnf(234,plain,
    left_division(left_inverse(X),Y) = multiply(X,Y),
    inference('PARAMODULATE',[status(thm)],[229,75,theory(equality)]) ).

cnf(239,plain,
    left_division(left_inverse(left_division(left_inverse(left_division(X,Y)),left_inverse(X))),X) = left_division(X,Y),
    inference('REWRITE',[status(thm)],[231,234,theory(equality)]) ).

cnf(265,plain,
    left_division(left_inverse(right_division(X,Y)),Y) = X,
    inference('REWRITE',[status(thm)],[multiply_right_division,234,theory(equality)]) ).

cnf(266,plain,
    left_division(X,left_division(left_inverse(X),Y)) = Y,
    inference('REWRITE',[status(thm)],[left_division_multiply,234,theory(equality)]) ).

cnf(268,plain,
    left_division(left_inverse(X),left_division(left_inverse(Y),X)) = left_division(left_inverse(left_division(left_inverse(X),Y)),X),
    inference('REWRITE',[status(thm)],[23,234,theory(equality)]) ).

cnf(271,plain,
    left_division(left_inverse(left_division(left_inverse(X),Y)),Z) = left_division(left_inverse(Y),left_division(left_inverse(left_division(Y,X)),left_division(left_inverse(Y),Z))),
    inference('REWRITE',[status(thm)],[27,234,theory(equality)]) ).

cnf(272,plain,
    left_division(left_inverse(left_division(left_inverse(left_division(left_inverse(X),Y)),X)),left_division(X,Z)) = left_division(left_inverse(X),left_division(left_inverse(Y),Z)),
    inference('REWRITE',[status(thm)],[28,234,theory(equality)]) ).

cnf(307,plain,
    left_division(left_inverse(left_division(left_inverse(X),X)),left_division(X,Y)) = left_division(left_inverse(X),Y),
    inference('REWRITE',[status(thm)],[169,234,theory(equality)]) ).

cnf(341,plain,
    left_division(left_inverse(left_division(left_inverse(x),left_division(left_inverse(y),z))),x) != left_division(left_inverse(left_division(left_inverse(x),y)),left_division(left_inverse(z),x)),
    inference('REWRITE',[status(thm)],[prove_moufang4,268,234,theory(equality)]) ).

cnf(342,plain,
    right_division(X,Y) = left_inverse(right_division(Y,X)),
    inference('PARAMODULATE',[status(thm)],[22,265,theory(equality)]) ).

cnf(355,plain,
    left_division(X,left_inverse(X)) = left_inverse(left_division(left_inverse(X),X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[342,183,theory(equality)]),155,theory(equality)]) ).

cnf(380,plain,
    left_division(left_division(X,left_inverse(X)),left_division(X,Y)) = left_division(left_inverse(X),Y),
    inference('REWRITE',[status(thm)],[307,355,theory(equality)]) ).

cnf(554,plain,
    left_division(left_inverse(left_division(left_inverse(X),left_inverse(Y))),Y) = X,
    inference('PARAMODULATE',[status(thm)],[239,266,theory(equality)]) ).

cnf(557,plain,
    right_division(X,Y) = left_inverse(left_division(left_inverse(Y),left_inverse(X))),
    inference('PARAMODULATE',[status(thm)],[22,554,theory(equality)]) ).

cnf(630,plain,
    left_inverse(left_division(left_inverse(left_division(X,Y)),left_inverse(Y))) = X,
    inference('REWRITE',[status(thm)],[22,557,theory(equality)]) ).

cnf(659,plain,
    left_inverse(left_division(left_inverse(X),left_inverse(left_division(Y,X)))) = left_inverse(Y),
    inference('REWRITE',[status(thm)],[232,557,theory(equality)]) ).

cnf(661,plain,
    left_inverse(left_division(left_inverse(X),left_inverse(Y))) = left_division(left_inverse(Y),left_inverse(X)),
    inference('REWRITE',[status(thm)],[342,75,557,theory(equality)]) ).

cnf(689,plain,
    left_division(left_inverse(left_division(X,Y)),left_inverse(Y)) = left_inverse(X),
    inference('REWRITE',[status(thm)],[659,661,theory(equality)]) ).

cnf(730,plain,
    left_division(left_inverse(X),left_inverse(left_division(Y,X))) = Y,
    inference('REWRITE',[status(thm)],[630,661,theory(equality)]) ).

cnf(769,plain,
    left_division(X,Y) = left_inverse(left_division(Y,X)),
    inference('PARAMODULATE',[status(thm)],[266,730,theory(equality)]) ).

cnf(828,plain,
    left_division(left_inverse(X),left_division(left_inverse(Y),X)) = left_division(left_division(Y,left_inverse(X)),X),
    inference('REWRITE',[status(thm)],[268,769,theory(equality)]) ).

cnf(829,plain,
    left_division(left_division(X,left_inverse(Y)),Z) = left_division(left_inverse(X),left_division(left_division(Y,X),left_division(left_inverse(X),Z))),
    inference('REWRITE',[status(thm)],[271,769,theory(equality)]) ).

cnf(830,plain,
    left_division(left_division(X,left_division(Y,left_inverse(X))),left_division(X,Z)) = left_division(left_inverse(X),left_division(left_inverse(Y),Z)),
    inference('REWRITE',[status(thm)],[272,769,theory(equality)]) ).

cnf(941,plain,
    left_division(left_division(X,Y),left_inverse(X)) = left_inverse(Y),
    inference('REWRITE',[status(thm)],[689,769,theory(equality)]) ).

cnf(951,plain,
    left_division(left_division(left_division(left_inverse(y),z),left_inverse(x)),x) != left_division(left_division(y,left_inverse(x)),left_division(left_inverse(z),x)),
    inference('REWRITE',[status(thm)],[341,769,theory(equality)]) ).

cnf(966,plain,
    left_division(left_division(X,Y),left_division(X,left_inverse(X))) = left_division(Y,left_inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[769,380,theory(equality)]),769,theory(equality)]) ).

cnf(993,plain,
    left_division(X,left_division(left_inverse(Y),left_inverse(X))) = left_division(left_division(Y,X),left_inverse(X)),
    inference('PARAMODULATE',[status(thm)],[828,75,theory(equality)]) ).

cnf(1003,plain,
    left_division(left_inverse(X),left_division(left_division(Y,Z),X)) = left_division(left_division(left_division(Z,Y),left_inverse(X)),X),
    inference('PARAMODULATE',[status(thm)],[828,769,theory(equality)]) ).

cnf(1007,plain,
    left_division(left_inverse(x),left_division(left_division(z,left_inverse(y)),x)) != left_division(left_division(y,left_inverse(x)),left_division(left_inverse(z),x)),
    inference('REWRITE',[status(thm)],[951,1003,theory(equality)]) ).

cnf(1903,plain,
    left_division(left_division(X,left_inverse(Y)),left_division(X,Z)) = left_division(left_inverse(X),left_division(left_division(Y,X),Z)),
    inference('PARAMODULATE',[status(thm)],[829,233,theory(equality)]) ).

cnf(1908,plain,
    left_division(left_division(left_division(X,Y),left_inverse(Y)),left_division(Y,Z)) = left_division(left_inverse(Y),left_division(X,Z)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[830,75,theory(equality)]),993,theory(equality)]) ).

cnf(2012,plain,
    left_division(left_division(X,Y),left_division(left_division(Z,X),left_inverse(X))) = left_division(left_division(Z,Y),left_inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[769,1908,theory(equality)]),769,theory(equality)]) ).

cnf(3341,plain,
    left_division(left_inverse(X),left_division(left_division(Y,Z),X)) = left_division(left_division(left_division(X,Y),left_division(left_division(Z,X),left_inverse(X))),X),
    inference('PARAMODULATE',[status(thm)],[1003,2012,theory(equality)]) ).

cnf(3348,plain,
    left_division(left_division(left_inverse(X),Y),left_division(left_inverse(Z),X)) = left_division(left_division(left_division(X,Z),Y),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2012,941,theory(equality)]),75,theory(equality)]) ).

cnf(3353,plain,
    left_division(left_inverse(X),left_division(left_division(Y,Z),X)) = left_division(left_division(left_inverse(Z),left_inverse(X)),left_division(left_inverse(Y),X)),
    inference('REWRITE',[status(thm)],[3341,966,1903,3348,theory(equality)]) ).

cnf(3356,plain,
    $false,
    inference('REWRITE',[status(thm)],[1007,75,3353,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 03:44:33 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T03:44:33
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-14T03:44:33
% 0.21/0.50  
% 0.21/0.50  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.21/0.50  ; Recognized right identity assertion (= (|multiply| ?X |identity|) ?X).
% 0.21/0.50  ; Recognized possible right inverse assertion (= (|multiply| ?X (|right_inverse| ?X)) |identity|).
% 4.17/4.35  ; Recognized possible left inverse assertion (= (|multiply| (|left_inverse| ?X) ?X) |identity|).
% 4.17/4.35  
% 4.17/4.35  #||
% 4.17/4.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/4.35  % SZS output start Refutation
% See solution above
% 4.17/4.38  ||#
% 4.17/4.38  
% 4.17/4.38  ; Summary of computation:
% 4.17/4.38  ;     10216 formulas have been input or derived (from 138 formulas).
% 4.17/4.38  ;      3356 (33%) were retained.  Of these,
% 4.17/4.38  ;         1147 (34%) were simplified or subsumed later,
% 4.17/4.38  ;         2209 (66%) are still being kept.
% 4.17/4.38  ; 
% 4.17/4.38  ; Run time in seconds excluding printing time:
% 4.17/4.38  ;     0.002   0%   Read assertion file          (1 call)
% 4.17/4.38  ;     0.000   0%   Assert                       (10 calls)
% 4.17/4.38  ;     0.424  11%   Process new row              (9,806 calls)
% 4.17/4.38  ;     0.010   0%   Resolution                   (274 calls)
% 4.17/4.38  ;     0.160   4%   Paramodulation               (137 calls)
% 4.17/4.38  ;     0.990  26%   Forward simplification       (9,312 calls)
% 4.17/4.38  ;     0.528  14%   Backward simplification      (3,356 calls)
% 4.17/4.38  ;     1.672  43%   Ordering                     (131,393 calls)
% 4.17/4.38  ;     0.000   0%   Sortal reasoning             (32 calls)
% 4.17/4.38  ;     0.000   0%   Purity testing               (1 call)
% 4.17/4.38  ;     0.074   2%   Other
% 4.17/4.38  ;     3.860        Total
% 4.17/4.38  ;     3.896        Real time
% 4.17/4.38  ; 
% 4.17/4.38  ; Term-hash-array has 10,172 terms in all.
% 4.17/4.38  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 4.17/4.38  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 4.17/4.38  ; Path-index has 7,162 entries (7,230 at peak, 10,586 added, 3,424 deleted).
% 4.17/4.38  ; Path-index has 3,711 nodes (3,881 at peak, 6,171 added, 2,460 deleted).
% 4.17/4.38  ; Trie-index has 7,162 entries (7,230 at peak, 10,586 added, 3,424 deleted).
% 4.17/4.38  ; Trie-index has 35,075 nodes (35,298 at peak, 57,838 added, 22,763 deleted).
% 4.17/4.38  ; Retrieved 545,645 generalization terms in 132,562 calls.
% 4.17/4.38  ; Retrieved 151,002 instance terms in 5,335 calls.
% 4.17/4.38  ; Retrieved 72,891 unifiable terms in 962 calls.
% 4.17/4.38  ; 
% 4.17/4.38  ; The agenda of backward simplifiable rows to process has 12 entries:
% 4.17/4.38  ;    12 with value 0
% 4.17/4.38  ; The agenda of rows to process has 344 entries:
% 4.17/4.38  ;     5 with value 31             21 with value 39              18 with value 47
% 4.17/4.38  ;    19 with value 32             34 with value 40               3 with value 48
% 4.17/4.38  ;    26 with value 33             11 with value 41               1 with value 49
% 4.17/4.38  ;    31 with value 34             14 with value 42               2 with value 50
% 4.17/4.38  ;    20 with value 35             15 with value 43               5 with value 51
% 4.17/4.38  ;    46 with value 36              8 with value 44               1 with value 52
% 4.17/4.38  ;    30 with value 37             16 with value 45               1 with value 54
% 4.17/4.38  ;    10 with value 38              6 with value 46               1 with value 56
% 4.17/4.38  ; The agenda of rows to give has 2150 entries:
% 4.17/4.38  ;    31 with value (4 25)        161 with value (4 37)          23 with value (4 48)
% 4.17/4.38  ;    43 with value (4 26)        131 with value (4 38)          11 with value (4 49)
% 4.17/4.38  ;    59 with value (4 27)         77 with value (4 39)          10 with value (4 50)
% 4.17/4.38  ;    49 with value (4 28)         73 with value (4 40)           6 with value (4 51)
% 4.17/4.38  ;    57 with value (4 29)         70 with value (4 41)           5 with value (4 52)
% 4.17/4.38  ;    66 with value (4 30)         67 with value (4 42)           5 with value (4 53)
% 4.17/4.38  ;   141 with value (4 31)         71 with value (4 43)           8 with value (4 54)
% 4.17/4.38  ;   167 with value (4 32)         66 with value (4 44)           3 with value (4 55)
% 4.17/4.38  ;   157 with value (4 33)         43 with value (4 45)           4 with value (4 56)
% 4.17/4.38  ;   155 with value (4 34)         69 with value (4 46)           1 with value (4 57)
% 4.17/4.38  ;   112 with value (4 35)         58 with value (4 47)           1 with value (4 59)
% 4.17/4.38  ;   150 with value (4 36)
% 4.17/4.38  Evaluation took:
% 4.17/4.38    3.897 seconds of real time
% 4.17/4.38    3.650124 seconds of user run time
% 4.17/4.38    0.245902 seconds of system run time
% 4.17/4.38    [Run times include 0.283 seconds GC run time.]
% 4.17/4.38    0 calls to %EVAL
% 4.17/4.38    0 page faults and
% 4.17/4.38    265,942,904 bytes consed.
% 4.17/4.38  :PROOF-FOUND
% 4.17/4.38  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T03:44:37
% 4.17/4.38  :PROOF-FOUND
% 4.17/4.38  * 
%------------------------------------------------------------------------------