TSTP Solution File: GRP116-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 3.88s 4.10s
% Output   : Refutation 3.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   63 (  63 unt;   0 nHn;   2 RR)
%            Number of literals    :   63 (  62 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   :  221 (   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(identity,a) != a,
    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(434,plain,
    multiply(multiply(X,multiply(X,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(identity,Z))))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),41,7,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(742,plain,
    multiply(multiply(X,Y),multiply(Y,Y)) = X,
    inference('REWRITE',[status(thm)],[434,616,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(794,plain,
    multiply(identity,X) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[742,770,theory(equality)]),742,theory(equality)]) ).

cnf(1024,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_order3,794,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.10  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n026.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon Jun 13 18:39:51 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.39  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  * 
% 0.13/0.39  * 
% 0.13/0.40  #<PACKAGE "SNARK-USER">
% 0.13/0.40  * 
% 0.13/0.40  SNARK-TPTP-OPTIONS
% 0.13/0.40  * 
% 0.13/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.40   (USE-FACTORING :POS)
% 0.13/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.40  * 
% 0.13/0.40  "."
% 0.13/0.40  * 
% 0.13/0.40  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T18:39:51
% 0.13/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T18:39:51
% 3.88/4.10  
% 3.88/4.10  
% 3.88/4.10  #||
% 3.88/4.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.88/4.10  % SZS output start Refutation
% See solution above
% 3.88/4.11  ||#
% 3.88/4.11  
% 3.88/4.11  ; Summary of computation:
% 3.88/4.11  ;      2054 formulas have been input or derived (from 18 formulas).
% 3.88/4.11  ;      1024 (50%) were retained.  Of these,
% 3.88/4.11  ;          793 (77%) were simplified or subsumed later,
% 3.88/4.11  ;          231 (23%) are still being kept.
% 3.88/4.11  ; 
% 3.88/4.11  ; Run time in seconds excluding printing time:
% 3.88/4.11  ;     0.001   0%   Read assertion file          (1 call)
% 3.88/4.11  ;     0.000   0%   Assert                       (2 calls)
% 3.88/4.11  ;     0.094   3%   Process new row              (1,968 calls)
% 3.88/4.11  ;     0.000   0%   Resolution                   (34 calls)
% 3.88/4.11  ;     0.026   1%   Paramodulation               (17 calls)
% 3.88/4.11  ;     0.459  12%   Forward simplification       (1,946 calls)
% 3.88/4.11  ;     0.175   5%   Backward simplification      (1,024 calls)
% 3.88/4.11  ;     2.918  79%   Ordering                     (201,443 calls)
% 3.88/4.11  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.88/4.11  ;     0.000   0%   Purity testing               (1 call)
% 3.88/4.11  ;     0.024   1%   Other
% 3.88/4.11  ;     3.697        Total
% 3.88/4.11  ;     3.708        Real time
% 3.88/4.11  ; 
% 3.88/4.11  ; Term-hash-array has 2,723 terms in all.
% 3.88/4.11  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.88/4.11  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.88/4.11  ; Path-index has 437 entries (1,811 at peak, 2,967 added, 2,530 deleted).
% 3.88/4.11  ; Path-index has 743 nodes (983 at peak, 1,478 added, 735 deleted).
% 3.88/4.11  ; Trie-index has 437 entries (1,811 at peak, 2,967 added, 2,530 deleted).
% 3.88/4.11  ; Trie-index has 2,389 nodes (15,477 at peak, 23,377 added, 20,988 deleted).
% 3.88/4.11  ; Retrieved 82,718 generalization terms in 26,599 calls.
% 3.88/4.11  ; Retrieved 32,845 instance terms in 2,267 calls.
% 3.88/4.11  ; Retrieved 7,156 unifiable terms in 172 calls.
% 3.88/4.11  ; 
% 3.88/4.11  ; The agenda of backward simplifiable rows to process has 9 entries:
% 3.88/4.11  ;     9 with value 0
% 3.88/4.11  ; The agenda of rows to process has 71 entries:
% 3.88/4.11  ;     1 with value 21              4 with value 27               5 with value 33
% 3.88/4.11  ;     5 with value 22              1 with value 28               3 with value 34
% 3.88/4.11  ;     2 with value 23              5 with value 29               6 with value 35
% 3.88/4.11  ;     4 with value 24              4 with value 30               4 with value 36
% 3.88/4.11  ;     2 with value 25             12 with value 31               3 with value 37
% 3.88/4.11  ;     8 with value 26              1 with value 32               1 with value 38
% 3.88/4.11  ; The agenda of rows to give has 227 entries:
% 3.88/4.11  ;     1 with value (4 12)          3 with value (4 24)          15 with value (4 30)
% 3.88/4.11  ;     1 with value (4 15)          3 with value (4 25)           2 with value (4 31)
% 3.88/4.11  ;     1 with value (4 16)          2 with value (4 26)          24 with value (4 32)
% 3.88/4.11  ;     1 with value (4 19)          6 with value (4 27)          75 with value (4 33)
% 3.88/4.11  ;     8 with value (4 22)         33 with value (4 28)          16 with value (4 34)
% 3.88/4.11  ;     3 with value (4 23)          2 with value (4 29)          31 with value (4 35)
% 3.88/4.11  Evaluation took:
% 3.88/4.11    3.708 seconds of real time
% 3.88/4.11    3.452144 seconds of user run time
% 3.88/4.11    0.254851 seconds of system run time
% 3.88/4.11    [Run times include 0.107 seconds GC run time.]
% 3.88/4.11    0 calls to %EVAL
% 3.88/4.11    0 page faults and
% 3.88/4.11    293,515,224 bytes consed.
% 3.88/4.11  :PROOF-FOUND
% 3.88/4.11  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T18:39:54
% 3.88/4.11  :PROOF-FOUND
% 3.88/4.11  * 
%------------------------------------------------------------------------------