TSTP Solution File: GRP115-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 11:36:13 EDT 2022

% Result   : Unsatisfiable 3.81s 4.00s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   60 (  60 unt;   0 nHn;   2 RR)
%            Number of literals    :   60 (  59 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  215 (   0 sgn)

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

cnf(prove_order3,negated_conjecture,
    multiply(a,multiply(a,a)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).

cnf(3,plain,
    multiply(X,multiply(multiply(X,multiply(multiply(X,Y),multiply(identity,multiply(multiply(identity,Z),multiply(identity,Z))))),Z)) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(7,plain,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
    inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).

cnf(12,plain,
    multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(identity,U)),
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(14,plain,
    multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(identity,U))),
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(16,plain,
    multiply(X,multiply(multiply(Y,Z),multiply(identity,U))) = multiply(multiply(X,Y),multiply(identity,multiply(Z,U))),
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(17,plain,
    multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,U)),
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(18,plain,
    multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(19,plain,
    multiply(X,multiply(multiply(multiply(X,multiply(X,Y)),multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).

cnf(21,plain,
    multiply(multiply(X,multiply(X,multiply(multiply(X,Y),Z))),multiply(identity,multiply(identity,multiply(Z,Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).

cnf(30,plain,
    multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(X,multiply(multiply(Y,Z),U)),
    inference('PARAMODULATE',[status(thm)],[7,12,theory(equality)]) ).

cnf(33,plain,
    multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
    inference('REWRITE',[status(thm)],[19,30,theory(equality)]) ).

cnf(37,plain,
    multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(identity,multiply(identity,U))),
    inference('PARAMODULATE',[status(thm)],[12,7,theory(equality)]) ).

cnf(41,plain,
    multiply(X,multiply(multiply(Y,Z),multiply(U,V))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),multiply(identity,V))),
    inference('PARAMODULATE',[status(thm)],[12,7,theory(equality)]) ).

cnf(75,plain,
    multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),V)) = multiply(X,multiply(multiply(multiply(Y,Z),U),V)),
    inference('PARAMODULATE',[status(thm)],[30,7,theory(equality)]) ).

cnf(108,plain,
    multiply(X,multiply(Y,multiply(Z,U))) = multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),
    inference('PARAMODULATE',[status(thm)],[30,14,theory(equality)]) ).

cnf(110,plain,
    multiply(X,multiply(Y,multiply(Z,multiply(U,V)))) = multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(multiply(identity,U),multiply(identity,V)))),
    inference('PARAMODULATE',[status(thm)],[7,14,theory(equality)]) ).

cnf(119,plain,
    multiply(X,multiply(Y,multiply(Z,multiply(U,V)))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(identity,V)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,14,theory(equality)]),7,theory(equality)]) ).

cnf(152,plain,
    multiply(multiply(X,Y),multiply(identity,multiply(Z,U))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),
    inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]) ).

cnf(301,plain,
    multiply(X,multiply(multiply(Y,multiply(Z,U)),multiply(V,W))) = multiply(multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),multiply(multiply(identity,V),multiply(identity,W))),
    inference('PARAMODULATE',[status(thm)],[14,18,theory(equality)]) ).

cnf(310,plain,
    multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,multiply(identity,multiply(identity,V))),W)) = multiply(X,multiply(multiply(Y,multiply(Z,multiply(U,V))),W)),
    inference('PARAMODULATE',[status(thm)],[30,18,theory(equality)]) ).

cnf(373,plain,
    multiply(multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(Y,multiply(Z,U)),V),W)),
    inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).

cnf(378,plain,
    multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(multiply(Y,Z),multiply(identity,U)),V),W)),
    inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).

cnf(387,plain,
    multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(multiply(U,V),multiply(identity,W)))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(U,multiply(V,W)))),
    inference('PARAMODULATE',[status(thm)],[17,108,theory(equality)]) ).

cnf(445,plain,
    multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(Y,Z),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),387,7,75,theory(equality)]) ).

cnf(452,plain,
    multiply(multiply(multiply(multiply(X,X),multiply(identity,multiply(X,Y))),multiply(identity,multiply(identity,multiply(Z,U)))),multiply(multiply(identity,multiply(identity,multiply(Z,U))),multiply(identity,multiply(identity,multiply(Z,U))))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),41,7,37,theory(equality)]) ).

cnf(453,plain,
    multiply(multiply(multiply(multiply(X,X),multiply(identity,multiply(X,Y))),multiply(identity,multiply(identity,multiply(identity,multiply(identity,Z))))),multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(Z,Z)))))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,18,theory(equality)]),7,152,119,theory(equality)]) ).

cnf(467,plain,
    multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Z,U)))),multiply(identity,multiply(identity,multiply(identity,multiply(Z,U)))))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,16,theory(equality)]),152,301,7,41,110,theory(equality)]) ).

cnf(472,plain,
    multiply(multiply(X,multiply(X,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,U)),V)),multiply(multiply(identity,V),multiply(identity,V)))) = multiply(multiply(Y,Z),U),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,12,theory(equality)]),387,378,theory(equality)]) ).

cnf(495,plain,
    multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,Z),multiply(Z,Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[14,33,theory(equality)]) ).

cnf(497,plain,
    multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).

cnf(500,plain,
    multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z))),U)) = multiply(Y,multiply(identity,U)),
    inference('PARAMODULATE',[status(thm)],[7,33,theory(equality)]) ).

cnf(506,plain,
    multiply(multiply(X,Y),multiply(multiply(identity,multiply(Y,multiply(Y,Z))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U))))) = multiply(X,Z),
    inference('PARAMODULATE',[status(thm)],[30,33,theory(equality)]) ).

cnf(510,plain,
    multiply(X,Y) = multiply(multiply(multiply(X,Z),multiply(identity,multiply(Z,multiply(Z,Y)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(identity,multiply(identity,multiply(U,U))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,33,theory(equality)]),7,41,theory(equality)]) ).

cnf(512,plain,
    multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(identity,Z),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,7,theory(equality)]),7,theory(equality)]) ).

cnf(513,plain,
    multiply(multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(Y,Z),
    inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).

cnf(531,plain,
    multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(identity,multiply(identity,V)),multiply(identity,multiply(V,V)))) = multiply(Y,multiply(Z,U)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,108,theory(equality)]),110,theory(equality)]) ).

cnf(549,plain,
    multiply(multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(X,multiply(X,multiply(X,Y))),Y)),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U))),
    inference('PARAMODULATE',[status(thm)],[33,33,theory(equality)]) ).

cnf(553,plain,
    multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,identity)))) = Y,
    inference('PARAMODULATE',[status(thm)],[495,7,theory(equality)]) ).

cnf(568,plain,
    multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z)))))) = Y,
    inference('PARAMODULATE',[status(thm)],[495,18,theory(equality)]) ).

cnf(592,plain,
    multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(multiply(identity,V),multiply(V,V)))) = multiply(multiply(identity,Z),U),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[495,30,theory(equality)]),310,7,75,theory(equality)]) ).

cnf(610,plain,
    multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,Z),multiply(Z,Z))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,495,theory(equality)]),495,500,7,373,theory(equality)]) ).

cnf(611,plain,
    multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),U) = multiply(multiply(identity,Z),U),
    inference('REWRITE',[status(thm)],[592,610,theory(equality)]) ).

cnf(612,plain,
    multiply(multiply(identity,X),multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = multiply(identity,X),
    inference('REWRITE',[status(thm)],[512,611,theory(equality)]) ).

cnf(613,plain,
    multiply(multiply(X,Y),multiply(identity,multiply(Y,multiply(Y,Z)))) = multiply(X,Z),
    inference('REWRITE',[status(thm)],[506,612,theory(equality)]) ).

cnf(614,plain,
    multiply(X,Y) = multiply(multiply(X,Y),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z))))),
    inference('REWRITE',[status(thm)],[510,613,theory(equality)]) ).

cnf(616,plain,
    multiply(X,multiply(X,multiply(X,Y))) = Y,
    inference('REWRITE',[status(thm)],[568,614,theory(equality)]) ).

cnf(619,plain,
    multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(Z,U),multiply(Z,U))) = Y,
    inference('REWRITE',[status(thm)],[467,616,theory(equality)]) ).

cnf(621,plain,
    multiply(multiply(X,Y),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(multiply(X,Y),Z),
    inference('REWRITE',[status(thm)],[472,616,theory(equality)]) ).

cnf(623,plain,
    multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),Z) = multiply(Y,Z),
    inference('REWRITE',[status(thm)],[445,621,theory(equality)]) ).

cnf(624,plain,
    multiply(X,multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = X,
    inference('REWRITE',[status(thm)],[497,623,theory(equality)]) ).

cnf(654,plain,
    multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))) = multiply(Y,multiply(Z,U)),
    inference('REWRITE',[status(thm)],[531,624,theory(equality)]) ).

cnf(655,plain,
    multiply(multiply(X,multiply(Y,Z)),multiply(multiply(Y,Z),multiply(Y,Z))) = X,
    inference('REWRITE',[status(thm)],[619,654,theory(equality)]) ).

cnf(656,plain,
    multiply(multiply(X,X),multiply(identity,multiply(X,Y))) = Y,
    inference('REWRITE',[status(thm)],[452,655,theory(equality)]) ).

cnf(665,plain,
    multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))) = multiply(Y,Z),
    inference('REWRITE',[status(thm)],[513,624,theory(equality)]) ).

cnf(666,plain,
    multiply(X,identity) = X,
    inference('REWRITE',[status(thm)],[553,665,theory(equality)]) ).

cnf(749,plain,
    multiply(multiply(X,multiply(identity,Y)),multiply(identity,multiply(Y,Y))) = X,
    inference('REWRITE',[status(thm)],[453,656,616,theory(equality)]) ).

cnf(770,plain,
    multiply(X,multiply(X,X)) = identity,
    inference('REWRITE',[status(thm)],[549,666,749,616,theory(equality)]) ).

cnf(774,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_order3,770,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 09:58:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T09:58:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-13T09:58:14
% 3.81/4.00  
% 3.81/4.00  
% 3.81/4.00  #||
% 3.81/4.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/4.00  % SZS output start Refutation
% See solution above
% 3.81/4.01  ||#
% 3.81/4.01  
% 3.81/4.01  ; Summary of computation:
% 3.81/4.01  ;      1355 formulas have been input or derived (from 15 formulas).
% 3.81/4.01  ;       774 (57%) were retained.  Of these,
% 3.81/4.01  ;          273 (35%) were simplified or subsumed later,
% 3.81/4.01  ;          501 (65%) are still being kept.
% 3.81/4.01  ; 
% 3.81/4.01  ; Run time in seconds excluding printing time:
% 3.81/4.01  ;     0.001   0%   Read assertion file          (1 call)
% 3.81/4.01  ;     0.000   0%   Assert                       (2 calls)
% 3.81/4.01  ;     0.106   3%   Process new row              (1,334 calls)
% 3.81/4.01  ;     0.001   0%   Resolution                   (28 calls)
% 3.81/4.01  ;     0.025   1%   Paramodulation               (14 calls)
% 3.81/4.01  ;     0.427  12%   Forward simplification       (1,313 calls)
% 3.81/4.01  ;     0.160   5%   Backward simplification      (774 calls)
% 3.81/4.01  ;     2.779  79%   Ordering                     (174,779 calls)
% 3.81/4.01  ;     0.001   0%   Sortal reasoning             (32 calls)
% 3.81/4.01  ;     0.000   0%   Purity testing               (1 call)
% 3.81/4.01  ;     0.025   1%   Other
% 3.81/4.01  ;     3.525        Total
% 3.81/4.01  ;     3.536        Real time
% 3.81/4.01  ; 
% 3.81/4.01  ; Term-hash-array has 2,316 terms in all.
% 3.81/4.01  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.81/4.01  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.81/4.01  ; Path-index has 1,437 entries (1,812 at peak, 2,486 added, 1,049 deleted).
% 3.81/4.01  ; Path-index has 895 nodes (988 at peak, 1,399 added, 504 deleted).
% 3.81/4.01  ; Trie-index has 1,437 entries (1,812 at peak, 2,486 added, 1,049 deleted).
% 3.81/4.01  ; Trie-index has 10,636 nodes (15,483 at peak, 20,780 added, 10,144 deleted).
% 3.81/4.01  ; Retrieved 62,759 generalization terms in 18,950 calls.
% 3.81/4.01  ; Retrieved 25,952 instance terms in 1,638 calls.
% 3.81/4.01  ; Retrieved 5,198 unifiable terms in 157 calls.
% 3.81/4.01  ; 
% 3.81/4.01  ; The agenda of backward simplifiable rows to process has 15 entries:
% 3.81/4.01  ;    15 with value 0
% 3.81/4.01  ; The agenda of rows to process has 1 entry:
% 3.81/4.01  ;     1 with value 61
% 3.81/4.01  ; The agenda of rows to give has 492 entries:
% 3.81/4.01  ;     1 with value (4 12)          7 with value (4 29)           8 with value (4 42)
% 3.81/4.01  ;     1 with value (4 14)          7 with value (4 30)          17 with value (4 43)
% 3.81/4.01  ;     1 with value (4 16)          6 with value (4 31)           3 with value (4 44)
% 3.81/4.01  ;     1 with value (4 18)         16 with value (4 32)          14 with value (4 45)
% 3.81/4.01  ;     3 with value (4 19)         21 with value (4 33)           5 with value (4 46)
% 3.81/4.01  ;     1 with value (4 20)         33 with value (4 34)           1 with value (4 47)
% 3.81/4.01  ;     2 with value (4 21)         23 with value (4 35)           4 with value (4 48)
% 3.81/4.01  ;     2 with value (4 23)         33 with value (4 36)           2 with value (4 50)
% 3.81/4.01  ;     2 with value (4 24)         13 with value (4 37)           1 with value (4 51)
% 3.81/4.01  ;     4 with value (4 25)         15 with value (4 38)           1 with value (4 52)
% 3.81/4.01  ;     3 with value (4 26)         30 with value (4 39)           1 with value (4 55)
% 3.81/4.01  ;     3 with value (4 27)         75 with value (4 40)           1 with value (4 56)
% 3.81/4.01  ;     3 with value (4 28)        128 with value (4 41)
% 3.81/4.01  Evaluation took:
% 3.81/4.01    3.537 seconds of real time
% 3.81/4.01    3.31757 seconds of user run time
% 3.81/4.01    0.218554 seconds of system run time
% 3.81/4.01    [Run times include 0.105 seconds GC run time.]
% 3.81/4.01    0 calls to %EVAL
% 3.81/4.01    0 page faults and
% 3.81/4.01    259,498,136 bytes consed.
% 3.81/4.01  :PROOF-FOUND
% 3.81/4.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T09:58:18
% 3.81/4.01  :PROOF-FOUND
% 3.81/4.01  * 
%------------------------------------------------------------------------------