TSTP Solution File: REL018-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 : Mon Jul 18 19:59:25 EDT 2022

% Result   : Unsatisfiable 117.21s 117.44s
% Output   : Refutation 117.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   87 (  87 unt;   0 nHn;  20 RR)
%            Number of literals    :   87 (  86 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :  111 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
    X = join(complement(join(complement(X),complement(Y))),complement(join(complement(X),Y))),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).

cnf(2,plain,
    join(complement(join(complement(X),complement(Y))),join(complement(join(complement(X),Y)),Z)) = join(X,Z),
    inference('EMBED',[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).

cnf(maddux4_definiton_of_meet_4,axiom,
    meet(X,Y) = complement(join(complement(X),complement(Y))),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).

cnf(composition_associativity_5,axiom,
    composition(X,composition(Y,Z)) = composition(composition(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

cnf(composition_identity_6,axiom,
    composition(X,one) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(composition_distributivity_7,axiom,
    composition(join(X,Y),Z) = join(composition(X,Z),composition(Y,Z)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

cnf(7,plain,
    join(composition(X,Y),join(composition(Z,Y),U)) = join(composition(join(X,Z),Y),U),
    inference('EMBED',[status(thm)],[composition_distributivity_7]) ).

cnf(converse_idempotence_8,axiom,
    converse(converse(X)) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(converse_additivity_9,axiom,
    converse(join(X,Y)) = join(converse(X),converse(Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(10,plain,
    join(converse(X),join(converse(Y),Z)) = join(converse(join(X,Y)),Z),
    inference('EMBED',[status(thm)],[converse_additivity_9]) ).

cnf(converse_multiplicativity_10,axiom,
    converse(composition(X,Y)) = composition(converse(Y),converse(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(converse_cancellativity_11,axiom,
    join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

cnf(13,plain,
    join(composition(converse(X),complement(composition(X,Y))),join(complement(Y),Z)) = join(complement(Y),Z),
    inference('EMBED',[status(thm)],[converse_cancellativity_11]) ).

cnf(def_top_12,axiom,
    top = join(X,complement(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(15,plain,
    join(X,join(complement(X),Y)) = join(top,Y),
    inference('EMBED',[status(thm)],[def_top_12]) ).

cnf(def_zero_13,axiom,
    zero = meet(X,complement(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

cnf(17,plain,
    zero = complement(top),
    inference('REWRITE',[status(thm)],[def_zero_13,maddux4_definiton_of_meet_4,theory(equality)]) ).

cnf(goals_14,negated_conjecture,
    composition(sk1,top) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

cnf(goals_15,negated_conjecture,
    composition(complement(sk1),top) != complement(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

cnf(26,plain,
    join(top,X) = join(top,complement(join(Y,complement(join(X,Y))))),
    inference('PARAMODULATE',[status(thm)],[15,15,theory(equality)]) ).

cnf(28,plain,
    converse(join(converse(X),Y)) = join(X,converse(Y)),
    inference('PARAMODULATE',[status(thm)],[converse_additivity_9,converse_idempotence_8,theory(equality)]) ).

cnf(30,plain,
    join(converse(join(X,Y)),complement(converse(X))) = join(top,converse(Y)),
    inference('PARAMODULATE',[status(thm)],[15,10,theory(equality)]) ).

cnf(35,plain,
    converse(composition(converse(X),Y)) = composition(converse(Y),X),
    inference('PARAMODULATE',[status(thm)],[converse_multiplicativity_10,converse_idempotence_8,theory(equality)]) ).

cnf(46,plain,
    composition(join(sk1,X),top) = join(sk1,composition(X,top)),
    inference('PARAMODULATE',[status(thm)],[composition_distributivity_7,goals_14,theory(equality)]) ).

cnf(47,plain,
    join(sk1,join(composition(X,top),Y)) = join(composition(join(sk1,X),top),Y),
    inference('EMBED',[status(thm)],[46]) ).

cnf(52,plain,
    join(composition(join(X,Y),Z),complement(composition(X,Z))) = join(top,composition(Y,Z)),
    inference('PARAMODULATE',[status(thm)],[15,7,theory(equality)]) ).

cnf(56,plain,
    join(composition(converse(sk1),complement(sk1)),zero) = zero,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[converse_cancellativity_11,goals_14,theory(equality)]),17,theory(equality)]) ).

cnf(60,plain,
    join(composition(converse(X),complement(composition(X,top))),zero) = zero,
    inference('PARAMODULATE',[status(thm)],[converse_cancellativity_11,17,theory(equality)]) ).

cnf(72,plain,
    join(complement(X),complement(composition(converse(Y),complement(composition(Y,X))))) = join(top,complement(X)),
    inference('PARAMODULATE',[status(thm)],[15,13,theory(equality)]) ).

cnf(84,plain,
    complement(X) = join(zero,complement(join(complement(complement(X)),X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,def_top_12,theory(equality)]),17,theory(equality)]) ).

cnf(86,plain,
    X = complement(complement(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,def_top_12,theory(equality)]),84,17,theory(equality)]) ).

cnf(89,plain,
    X = join(complement(join(complement(X),complement(join(X,Y)))),complement(join(top,Y))),
    inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,15,theory(equality)]) ).

cnf(91,plain,
    X = join(complement(join(top,complement(X))),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,converse_cancellativity_11,theory(equality)]),86,72,theory(equality)]) ).

cnf(107,plain,
    join(top,complement(X)) = join(top,complement(join(complement(Y),X))),
    inference('PARAMODULATE',[status(thm)],[15,2,theory(equality)]) ).

cnf(109,plain,
    join(top,X) = join(top,complement(Y)),
    inference('REWRITE',[status(thm)],[26,107,theory(equality)]) ).

cnf(125,plain,
    top = complement(zero),
    inference('PARAMODULATE',[status(thm)],[86,17,theory(equality)]) ).

cnf(126,plain,
    complement(X) = join(complement(join(complement(Y),X)),complement(join(X,Y))),
    inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,86,theory(equality)]) ).

cnf(130,plain,
    top = join(top,X),
    inference('PARAMODULATE',[status(thm)],[def_top_12,109,theory(equality)]) ).

cnf(136,plain,
    join(composition(join(X,Y),Z),complement(composition(X,Z))) = top,
    inference('REWRITE',[status(thm)],[52,130,theory(equality)]) ).

cnf(140,plain,
    join(converse(join(X,Y)),complement(converse(X))) = top,
    inference('REWRITE',[status(thm)],[30,130,theory(equality)]) ).

cnf(144,plain,
    join(complement(X),complement(composition(converse(Y),complement(composition(Y,X))))) = top,
    inference('REWRITE',[status(thm)],[72,130,theory(equality)]) ).

cnf(150,plain,
    X = join(zero,X),
    inference('REWRITE',[status(thm)],[91,17,130,theory(equality)]) ).

cnf(154,plain,
    composition(converse(X),complement(composition(X,top))) = zero,
    inference('REWRITE',[status(thm)],[60,150,theory(equality)]) ).

cnf(155,plain,
    composition(converse(sk1),complement(sk1)) = zero,
    inference('REWRITE',[status(thm)],[56,150,theory(equality)]) ).

cnf(156,plain,
    X = complement(join(complement(X),complement(join(X,Y)))),
    inference('REWRITE',[status(thm)],[89,150,17,130,theory(equality)]) ).

cnf(162,plain,
    composition(converse(sk1),composition(complement(sk1),X)) = composition(zero,X),
    inference('PARAMODULATE',[status(thm)],[composition_associativity_5,155,theory(equality)]) ).

cnf(179,plain,
    converse(top) = join(X,converse(top)),
    inference('PARAMODULATE',[status(thm)],[28,130,theory(equality)]) ).

cnf(181,plain,
    X = join(X,converse(zero)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,150,theory(equality)]),converse_idempotence_8,theory(equality)]) ).

cnf(199,plain,
    converse(zero) = zero,
    inference('PARAMODULATE',[status(thm)],[150,181,theory(equality)]) ).

cnf(200,plain,
    composition(zero,complement(composition(zero,top))) = zero,
    inference('PARAMODULATE',[status(thm)],[154,199,theory(equality)]) ).

cnf(201,plain,
    converse(composition(zero,X)) = composition(converse(X),zero),
    inference('PARAMODULATE',[status(thm)],[converse_multiplicativity_10,199,theory(equality)]) ).

cnf(205,plain,
    top = converse(top),
    inference('PARAMODULATE',[status(thm)],[def_top_12,179,theory(equality)]) ).

cnf(212,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference('PARAMODULATE',[status(thm)],[154,205,theory(equality)]) ).

cnf(215,plain,
    converse(composition(X,top)) = composition(top,converse(X)),
    inference('PARAMODULATE',[status(thm)],[converse_multiplicativity_10,205,theory(equality)]) ).

cnf(236,plain,
    X = composition(converse(one),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[35,composition_identity_6,theory(equality)]),converse_idempotence_8,theory(equality)]) ).

cnf(261,plain,
    one = converse(one),
    inference('PARAMODULATE',[status(thm)],[composition_identity_6,236,theory(equality)]) ).

cnf(262,plain,
    X = composition(one,X),
    inference('REWRITE',[status(thm)],[236,261,theory(equality)]) ).

cnf(265,plain,
    composition(join(one,X),Y) = join(composition(X,Y),Y),
    inference('PARAMODULATE',[status(thm)],[composition_distributivity_7,262,theory(equality)]) ).

cnf(267,plain,
    composition(join(sk1,one),top) = top,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,262,theory(equality)]),130,theory(equality)]) ).

cnf(275,plain,
    composition(join(X,join(sk1,one)),top) = composition(join(one,X),top),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[composition_distributivity_7,267,theory(equality)]),265,theory(equality)]) ).

cnf(276,plain,
    top = composition(join(one,X),top),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[130,47,theory(equality)]),275,265,theory(equality)]) ).

cnf(281,plain,
    top = composition(top,top),
    inference('PARAMODULATE',[status(thm)],[276,def_top_12,theory(equality)]) ).

cnf(282,plain,
    composition(top,zero) = zero,
    inference('REWRITE',[status(thm)],[212,17,281,theory(equality)]) ).

cnf(293,plain,
    zero = composition(join(one,X),zero),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[composition_distributivity_7,282,theory(equality)]),265,282,130,theory(equality)]) ).

cnf(300,plain,
    join(converse(composition(join(X,Y),Z)),complement(converse(composition(X,Z)))) = top,
    inference('PARAMODULATE',[status(thm)],[140,composition_distributivity_7,theory(equality)]) ).

cnf(375,plain,
    join(complement(X),complement(join(X,Y))) = complement(X),
    inference('PARAMODULATE',[status(thm)],[86,156,theory(equality)]) ).

cnf(381,plain,
    composition(X,zero) = composition(composition(X,zero),complement(composition(zero,top))),
    inference('PARAMODULATE',[status(thm)],[composition_associativity_5,200,theory(equality)]) ).

cnf(383,plain,
    converse(composition(zero,zero)) = composition(zero,zero),
    inference('PARAMODULATE',[status(thm)],[201,199,theory(equality)]) ).

cnf(384,plain,
    converse(composition(zero,top)) = zero,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[201,205,theory(equality)]),282,theory(equality)]) ).

cnf(391,plain,
    zero = composition(zero,top),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[converse_idempotence_8,384,theory(equality)]),199,theory(equality)]) ).

cnf(392,plain,
    composition(X,zero) = composition(composition(X,zero),top),
    inference('REWRITE',[status(thm)],[381,125,391,theory(equality)]) ).

cnf(430,plain,
    join(X,complement(join(complement(X),Y))) = X,
    inference('PARAMODULATE',[status(thm)],[375,86,theory(equality)]) ).

cnf(514,plain,
    composition(composition(zero,zero),complement(composition(zero,zero))) = zero,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[154,383,theory(equality)]),392,theory(equality)]) ).

cnf(537,plain,
    complement(composition(X,zero)) = top,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,293,theory(equality)]),150,theory(equality)]) ).

cnf(538,plain,
    composition(zero,zero) = zero,
    inference('REWRITE',[status(thm)],[514,392,537,theory(equality)]) ).

cnf(638,plain,
    composition(X,zero) = zero,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[composition_distributivity_7,538,theory(equality)]),293,265,150,theory(equality)]) ).

cnf(642,plain,
    converse(composition(zero,X)) = zero,
    inference('REWRITE',[status(thm)],[201,638,theory(equality)]) ).

cnf(649,plain,
    zero = composition(zero,X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[converse_idempotence_8,642,theory(equality)]),199,theory(equality)]) ).

cnf(652,plain,
    composition(converse(sk1),composition(complement(sk1),X)) = zero,
    inference('REWRITE',[status(thm)],[162,649,theory(equality)]) ).

cnf(3130,plain,
    join(complement(X),Y) = join(Y,complement(join(X,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[126,126,theory(equality)]),430,86,theory(equality)]) ).

cnf(3791,plain,
    join(complement(composition(complement(sk1),X)),complement(sk1)) = top,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[144,652,theory(equality)]),goals_14,125,converse_idempotence_8,theory(equality)]) ).

cnf(3869,plain,
    join(composition(complement(sk1),X),complement(sk1)) = complement(sk1),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3130,3791,theory(equality)]),150,17,86,theory(equality)]) ).

cnf(7047,plain,
    join(converse(composition(top,X)),complement(converse(composition(Y,X)))) = top,
    inference('PARAMODULATE',[status(thm)],[300,130,theory(equality)]) ).

cnf(7421,plain,
    join(composition(X,top),complement(composition(X,Y))) = top,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7047,converse_multiplicativity_10,theory(equality)]),converse_idempotence_8,215,theory(equality)]) ).

cnf(7486,plain,
    join(composition(X,top),complement(X)) = top,
    inference('PARAMODULATE',[status(thm)],[7421,composition_identity_6,theory(equality)]) ).

cnf(7558,plain,
    join(X,composition(X,top)) = composition(X,top),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3130,7486,theory(equality)]),150,17,86,theory(equality)]) ).

cnf(7887,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3869,7558,theory(equality)]),goals_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n012.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 : Fri Jul  8 15:59:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-08T15:59:44
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-08T15:59:44
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.48  ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.19/0.48  ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.19/0.48  ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.19/0.48  ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.19/0.48  ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.19/0.48  ; Declaring join to be commutative.
% 117.21/117.44  ; Declaring join to be associative-commutative.
% 117.21/117.44  
% 117.21/117.44  #||
% 117.21/117.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.21/117.44  % SZS output start Refutation
% See solution above
% 117.28/117.44  ||#
% 117.28/117.44  
% 117.28/117.44  ; Summary of computation:
% 117.28/117.44  ;     35652 formulas have been input or derived (from 238 formulas).
% 117.28/117.44  ;      7887 (22%) were retained.  Of these,
% 117.28/117.44  ;          957 (12%) were simplified or subsumed later,
% 117.28/117.44  ;         6930 (88%) are still being kept.
% 117.28/117.44  ; 
% 117.28/117.44  ; Run time in seconds excluding printing time:
% 117.28/117.44  ;     0.003   0%   Read assertion file          (1 call)
% 117.28/117.44  ;     0.001   0%   Assert                       (15 calls)
% 117.28/117.44  ;     1.538   1%   Process new row              (34,582 calls)
% 117.28/117.44  ;     0.035   0%   Resolution                   (474 calls)
% 117.28/117.44  ;     0.866   1%   Paramodulation               (237 calls)
% 117.28/117.44  ;     0.046   0%   Embedding                    (2,813 calls)
% 117.28/117.44  ;    30.718  26%   Forward simplification       (31,147 calls)
% 117.28/117.44  ;     0.385   0%   Backward simplification      (5,119 calls)
% 117.28/117.44  ;     1.046   1%   Ordering                     (206,093 calls)
% 117.28/117.44  ;    82.163  70%   Ordering ac                  (58,783 calls)
% 117.28/117.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 117.28/117.44  ;     0.000   0%   Purity testing               (1 call)
% 117.28/117.44  ;     0.171   0%   Other
% 117.28/117.44  ;   116.972        Total
% 117.28/117.44  ;   116.976        Real time
% 117.28/117.44  ; 
% 117.28/117.44  ; Term-hash-array has 23,804 terms in all.
% 117.28/117.44  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 117.28/117.44  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 117.28/117.44  ; Path-index has 21,130 entries (21,130 at peak, 24,104 added, 2,974 deleted).
% 117.28/117.44  ; Path-index has 14,287 nodes (14,287 at peak, 15,070 added, 783 deleted).
% 117.28/117.44  ; Trie-index has 21,130 entries (21,130 at peak, 24,104 added, 2,974 deleted).
% 117.28/117.44  ; Trie-index has 24,274 nodes (24,275 at peak, 25,474 added, 1,200 deleted).
% 117.28/117.44  ; Retrieved 100,476,480 generalization terms in 311,099 calls.
% 117.28/117.44  ; Retrieved 34,032 instance terms in 8,144 calls.
% 117.28/117.44  ; Retrieved 359,497 unifiable terms in 1,600 calls.
% 117.28/117.44  ; 
% 117.28/117.44  ; The agenda of rows to process has 238 entries:
% 117.28/117.44  ;     4 with value 17              4 with value 29               9 with value 40
% 117.28/117.44  ;     4 with value 19              3 with value 30              10 with value 41
% 117.28/117.44  ;     3 with value 20              8 with value 31              10 with value 42
% 117.28/117.44  ;    15 with value 21              9 with value 32               8 with value 43
% 117.28/117.44  ;     4 with value 22             14 with value 33               4 with value 44
% 117.28/117.44  ;    10 with value 23              4 with value 34               3 with value 45
% 117.28/117.44  ;    20 with value 24              7 with value 35               7 with value 46
% 117.28/117.44  ;    11 with value 25              9 with value 36               3 with value 47
% 117.28/117.44  ;    18 with value 26             14 with value 37               3 with value 48
% 117.28/117.44  ;     2 with value 27              7 with value 38               1 with value 49
% 117.28/117.44  ;     3 with value 28              5 with value 39               2 with value 50
% 117.28/117.44  ; The agenda of rows to give has 6735 entries:
% 117.28/117.44  ;     1 with value (4 18)        777 with value (4 31)          47 with value (4 43)
% 117.28/117.44  ;     2 with value (4 19)        596 with value (4 32)          13 with value (4 44)
% 117.28/117.44  ;     9 with value (4 20)        275 with value (4 33)          21 with value (4 45)
% 117.28/117.44  ;    91 with value (4 21)        181 with value (4 34)          22 with value (4 46)
% 117.28/117.44  ;   154 with value (4 22)        184 with value (4 35)           3 with value (4 47)
% 117.28/117.44  ;   212 with value (4 23)        152 with value (4 36)          35 with value (4 48)
% 117.28/117.44  ;   244 with value (4 24)         92 with value (4 37)           6 with value (4 49)
% 117.28/117.44  ;   338 with value (4 25)        106 with value (4 38)           8 with value (4 50)
% 117.28/117.44  ;   481 with value (4 26)        120 with value (4 39)           1 with value (4 51)
% 117.28/117.44  ;   513 with value (4 27)         70 with value (4 40)           6 with value (4 52)
% 117.28/117.44  ;   637 with value (4 28)         45 with value (4 41)           4 with value (4 54)
% 117.28/117.44  ;   539 with value (4 29)         72 with value (4 42)           4 with value (4 56)
% 117.28/117.44  ;   674 with value (4 30)
% 117.28/117.44  Evaluation took:
% 117.28/117.44    116.977 seconds of real time
% 117.28/117.44    116.349014 seconds of user run time
% 117.28/117.44    0.629893 seconds of system run time
% 117.28/117.44    [Run times include 1.523 seconds GC run time.]
% 117.28/117.44    0 calls to %EVAL
% 117.28/117.44    0 page faults and
% 117.28/117.44    1,356,081,520 bytes consed.
% 117.28/117.44  :PROOF-FOUND
% 117.28/117.44  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T16:01:41
% 117.28/117.44  :PROOF-FOUND
% 117.28/117.44  * 
%------------------------------------------------------------------------------