TSTP Solution File: GRP601-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP601-1 : TPTP v8.1.0. Released v2.6.0.
% 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 11:39:36 EDT 2022

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   77 (  77 unt;   0 nHn;   3 RR)
%            Number of literals    :   77 (  76 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  253 (   0 sgn)

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

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

cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

cnf(4,plain,
    inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
    inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).

cnf(5,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),Z)) = inverse(double_divide(U,inverse(double_divide(Y,double_divide(U,double_divide(X,Z)))))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(6,plain,
    inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).

cnf(7,plain,
    inverse(double_divide(X,double_divide(inverse(double_divide(Y,X)),double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(8,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(inverse(double_divide(Z,X)),U)),Y))) = double_divide(Z,U),
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

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

cnf(13,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(inverse(double_divide(U,Z)),double_divide(U,X)),
    inference('PARAMODULATE',[status(thm)],[6,7,theory(equality)]) ).

cnf(20,plain,
    inverse(double_divide(double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,X)),Z)),U)),double_divide(U,double_divide(double_divide(Y,Z),V)))) = V,
    inference('PARAMODULATE',[status(thm)],[12,6,theory(equality)]) ).

cnf(24,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(X,inverse(double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,13,theory(equality)]) ).

cnf(25,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)) = double_divide(inverse(double_divide(U,Y)),double_divide(U,Z)),
    inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).

cnf(26,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(X,Z))))) = Y,
    inference('PARAMODULATE',[status(thm)],[7,13,theory(equality)]) ).

cnf(37,plain,
    inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),U)),double_divide(inverse(double_divide(Z,V)),U))) = double_divide(Y,V),
    inference('PARAMODULATE',[status(thm)],[6,13,theory(equality)]) ).

cnf(40,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(U,double_divide(inverse(double_divide(V,inverse(double_divide(U,double_divide(V,Z))))),X)),
    inference('PARAMODULATE',[status(thm)],[13,single_axiom,theory(equality)]) ).

cnf(63,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Y,inverse(double_divide(Z,X)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).

cnf(70,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),double_divide(inverse(double_divide(Z,U)),Y))) = double_divide(Z,inverse(double_divide(U,X))),
    inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).

cnf(75,plain,
    inverse(double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,Z)),X)),U))) = double_divide(Y,inverse(double_divide(Z,U))),
    inference('PARAMODULATE',[status(thm)],[7,24,theory(equality)]) ).

cnf(84,plain,
    inverse(double_divide(double_divide(inverse(double_divide(X,inverse(double_divide(Y,Z)))),double_divide(X,U)),double_divide(U,V))) = double_divide(Y,inverse(double_divide(Z,V))),
    inference('PARAMODULATE',[status(thm)],[12,24,theory(equality)]) ).

cnf(99,plain,
    double_divide(X,double_divide(inverse(double_divide(Y,inverse(double_divide(X,double_divide(Y,Z))))),U)) = double_divide(inverse(double_divide(V,Z)),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[25,single_axiom,theory(equality)]) ).

cnf(120,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(Y,Z))))) = X,
    inference('PARAMODULATE',[status(thm)],[26,25,theory(equality)]) ).

cnf(134,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),double_divide(X,Z)) = double_divide(U,double_divide(U,inverse(double_divide(Z,Y)))),
    inference('PARAMODULATE',[status(thm)],[24,63,theory(equality)]) ).

cnf(138,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Y,Z)))) = inverse(double_divide(U,inverse(double_divide(Z,double_divide(U,X))))),
    inference('PARAMODULATE',[status(thm)],[63,single_axiom,theory(equality)]) ).

cnf(144,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(double_divide(Z,double_divide(Z,inverse(double_divide(U,V)))),Y))) = double_divide(U,double_divide(inverse(V),X)),
    inference('PARAMODULATE',[status(thm)],[13,63,theory(equality)]) ).

cnf(156,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(Y),Y)))) = X,
    inference('PARAMODULATE',[status(thm)],[120,24,theory(equality)]) ).

cnf(164,plain,
    inverse(double_divide(inverse(inverse(double_divide(inverse(X),X))),double_divide(Y,double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[63,156,theory(equality)]) ).

cnf(167,plain,
    double_divide(X,double_divide(X,Y)) = double_divide(Z,double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,156,theory(equality)]),156,theory(equality)]) ).

cnf(182,plain,
    inverse(double_divide(X,double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,Y)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[63,167,theory(equality)]) ).

cnf(188,plain,
    double_divide(inverse(double_divide(X,Y)),Z) = double_divide(U,double_divide(U,double_divide(X,inverse(double_divide(Y,Z))))),
    inference('PARAMODULATE',[status(thm)],[167,24,theory(equality)]) ).

cnf(189,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),X)) = Y,
    inference('REWRITE',[status(thm)],[182,188,theory(equality)]) ).

cnf(196,plain,
    double_divide(inverse(double_divide(X,double_divide(X,Y))),double_divide(Z,U)) = double_divide(inverse(double_divide(V,double_divide(Z,Y))),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[25,167,theory(equality)]) ).

cnf(197,plain,
    inverse(double_divide(inverse(double_divide(inverse(double_divide(X,double_divide(X,Y))),Z)),double_divide(U,Z))) = double_divide(U,Y),
    inference('PARAMODULATE',[status(thm)],[6,167,theory(equality)]) ).

cnf(203,plain,
    inverse(double_divide(inverse(double_divide(X,double_divide(X,Y))),double_divide(Z,double_divide(U,Y)))) = double_divide(inverse(double_divide(V,Z)),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[13,167,theory(equality)]) ).

cnf(209,plain,
    inverse(double_divide(X,double_divide(inverse(Y),X))) = Y,
    inference('PARAMODULATE',[status(thm)],[189,189,theory(equality)]) ).

cnf(211,plain,
    X = inverse(double_divide(inverse(inverse(double_divide(inverse(Y),Y))),X)),
    inference('PARAMODULATE',[status(thm)],[156,189,theory(equality)]) ).

cnf(212,plain,
    double_divide(X,double_divide(X,Y)) = Y,
    inference('REWRITE',[status(thm)],[164,211,theory(equality)]) ).

cnf(226,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(Z,U)),Y))) = double_divide(Z,double_divide(inverse(U),X)),
    inference('REWRITE',[status(thm)],[144,212,theory(equality)]) ).

cnf(228,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(inverse(Z),Y)) = double_divide(X,Z),
    inference('REWRITE',[status(thm)],[8,226,theory(equality)]) ).

cnf(232,plain,
    inverse(double_divide(X,double_divide(Y,Z))) = double_divide(Y,double_divide(inverse(Z),X)),
    inference('REWRITE',[status(thm)],[226,228,theory(equality)]) ).

cnf(235,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,double_divide(V,inverse(double_divide(U,double_divide(V,Z))))))),
    inference('REWRITE',[status(thm)],[40,232,theory(equality)]) ).

cnf(237,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(Z,inverse(double_divide(Y,double_divide(Z,U))))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[99,232,theory(equality)]) ).

cnf(240,plain,
    inverse(inverse(double_divide(X,inverse(double_divide(Y,Z))))) = double_divide(Y,inverse(double_divide(Z,X))),
    inference('REWRITE',[status(thm)],[75,212,232,theory(equality)]) ).

cnf(252,plain,
    inverse(double_divide(X,double_divide(Y,inverse(inverse(double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[237,240,theory(equality)]) ).

cnf(253,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,inverse(inverse(double_divide(double_divide(V,Z),inverse(double_divide(V,U)))))))),
    inference('REWRITE',[status(thm)],[235,240,theory(equality)]) ).

cnf(270,plain,
    inverse(double_divide(inverse(double_divide(X,inverse(double_divide(Y,double_divide(Z,double_divide(U,Z)))))),double_divide(X,double_divide(double_divide(U,Y),V)))) = V,
    inference('REWRITE',[status(thm)],[20,232,theory(equality)]) ).

cnf(273,plain,
    inverse(inverse(double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z))))) = Y,
    inference('REWRITE',[status(thm)],[7,232,theory(equality)]) ).

cnf(274,plain,
    inverse(inverse(X)) = X,
    inference('REWRITE',[status(thm)],[209,212,232,theory(equality)]) ).

cnf(289,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,double_divide(double_divide(V,Z),inverse(double_divide(V,U)))))),
    inference('REWRITE',[status(thm)],[253,274,theory(equality)]) ).

cnf(291,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[252,274,theory(equality)]) ).

cnf(307,plain,
    double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z))) = Y,
    inference('REWRITE',[status(thm)],[273,274,theory(equality)]) ).

cnf(321,plain,
    inverse(double_divide(inverse(X),double_divide(Y,Z))) = double_divide(Y,inverse(double_divide(Z,X))),
    inference('REWRITE',[status(thm)],[70,228,theory(equality)]) ).

cnf(323,plain,
    inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),double_divide(Z,U))) = double_divide(Y,U),
    inference('REWRITE',[status(thm)],[37,228,theory(equality)]) ).

cnf(325,plain,
    double_divide(inverse(double_divide(X,Y)),Z) = double_divide(X,inverse(double_divide(Y,Z))),
    inference('REWRITE',[status(thm)],[84,323,theory(equality)]) ).

cnf(329,plain,
    inverse(double_divide(inverse(X),inverse(double_divide(Y,X)))) = Y,
    inference('REWRITE',[status(thm)],[189,325,theory(equality)]) ).

cnf(337,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),double_divide(X,Z)) = inverse(double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[134,212,theory(equality)]) ).

cnf(338,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,double_divide(U,double_divide(X,U)))) = Z,
    inference('REWRITE',[status(thm)],[270,274,337,theory(equality)]) ).

cnf(352,plain,
    double_divide(inverse(X),double_divide(Y,Z)) = double_divide(inverse(double_divide(U,double_divide(Y,X))),double_divide(U,Z)),
    inference('REWRITE',[status(thm)],[196,212,theory(equality)]) ).

cnf(353,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),double_divide(Z,Y))) = double_divide(Z,X),
    inference('REWRITE',[status(thm)],[197,212,theory(equality)]) ).

cnf(359,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Z,X)))) = double_divide(inverse(double_divide(U,Y)),double_divide(U,Z)),
    inference('REWRITE',[status(thm)],[203,212,theory(equality)]) ).

cnf(361,plain,
    inverse(double_divide(inverse(X),Y)) = double_divide(inverse(double_divide(Z,X)),double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[138,274,321,212,theory(equality)]) ).

cnf(362,plain,
    inverse(double_divide(X,Y)) = inverse(double_divide(Y,X)),
    inference('REWRITE',[status(thm)],[337,274,361,theory(equality)]) ).

cnf(364,plain,
    double_divide(inverse(X),double_divide(Y,Z)) = inverse(double_divide(inverse(double_divide(Y,X)),Z)),
    inference('REWRITE',[status(thm)],[352,361,theory(equality)]) ).

cnf(375,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))) = inverse(double_divide(inverse(U),X)),
    inference('REWRITE',[status(thm)],[291,361,theory(equality)]) ).

cnf(376,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(inverse(Z),X)),
    inference('REWRITE',[status(thm)],[289,375,theory(equality)]) ).

cnf(377,plain,
    inverse(double_divide(inverse(X),inverse(Y))) = double_divide(X,Y),
    inference('REWRITE',[status(thm)],[353,376,theory(equality)]) ).

cnf(388,plain,
    double_divide(X,double_divide(Y,X)) = Y,
    inference('REWRITE',[status(thm)],[329,377,theory(equality)]) ).

cnf(390,plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference('REWRITE',[status(thm)],[307,388,theory(equality)]) ).

cnf(391,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,X)) = Z,
    inference('REWRITE',[status(thm)],[338,388,theory(equality)]) ).

cnf(418,plain,
    double_divide(inverse(X),Y) = inverse(double_divide(inverse(Y),X)),
    inference('REWRITE',[status(thm)],[359,274,376,364,361,theory(equality)]) ).

cnf(453,plain,
    double_divide(double_divide(X,Y),inverse(double_divide(X,Z))) = double_divide(inverse(Y),Z),
    inference('PARAMODULATE',[status(thm)],[390,228,theory(equality)]) ).

cnf(491,plain,
    double_divide(double_divide(double_divide(inverse(X),Y),Z),inverse(double_divide(inverse(Y),X))) = Z,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[391,453,theory(equality)]),361,theory(equality)]) ).

cnf(496,plain,
    double_divide(double_divide(double_divide(X,Y),Z),inverse(double_divide(inverse(Y),U))) = double_divide(inverse(Z),inverse(double_divide(X,U))),
    inference('PARAMODULATE',[status(thm)],[453,453,theory(equality)]) ).

cnf(497,plain,
    double_divide(inverse(X),double_divide(inverse(Y),Y)) = X,
    inference('REWRITE',[status(thm)],[491,418,496,theory(equality)]) ).

cnf(503,plain,
    double_divide(X,inverse(X)) = double_divide(inverse(Y),Y),
    inference('PARAMODULATE',[status(thm)],[390,497,theory(equality)]) ).

cnf(512,plain,
    inverse(double_divide(X,inverse(X))) = inverse(double_divide(Y,inverse(Y))),
    inference('PARAMODULATE',[status(thm)],[362,503,theory(equality)]) ).

cnf(513,plain,
    $false,
    inference('REWRITE',[status(thm)],[4,512,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP601-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 21:28:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:28:36
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T21:28:36
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  #||
% 0.60/0.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78  % SZS output start Refutation
% See solution above
% 0.60/0.80  ||#
% 0.60/0.80  
% 0.60/0.80  ; Summary of computation:
% 0.60/0.80  ;      1268 formulas have been input or derived (from 33 formulas).
% 0.60/0.80  ;       513 (40%) were retained.  Of these,
% 0.60/0.80  ;          373 (73%) were simplified or subsumed later,
% 0.60/0.80  ;          140 (27%) are still being kept.
% 0.60/0.80  ; 
% 0.60/0.80  ; Run time in seconds excluding printing time:
% 0.60/0.80  ;     0.001   0%   Read assertion file          (1 call)
% 0.60/0.80  ;     0.000   0%   Assert                       (3 calls)
% 0.60/0.80  ;     0.077  25%   Process new row              (1,204 calls)
% 0.60/0.80  ;     0.004   1%   Resolution                   (64 calls)
% 0.60/0.80  ;     0.022   7%   Paramodulation               (32 calls)
% 0.60/0.80  ;     0.055  18%   Forward simplification       (1,109 calls)
% 0.60/0.80  ;     0.054  18%   Backward simplification      (512 calls)
% 0.60/0.80  ;     0.061  20%   Ordering                     (7,422 calls)
% 0.60/0.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.80  ;     0.001   0%   Purity testing               (1 call)
% 0.60/0.80  ;     0.027   9%   Other
% 0.60/0.80  ;     0.302        Total
% 0.60/0.80  ;     0.317        Real time
% 0.60/0.80  ; 
% 0.60/0.80  ; Term-hash-array has 2,221 terms in all.
% 0.60/0.80  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.60/0.80  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.60/0.80  ; Path-index has 525 entries (1,193 at peak, 2,470 added, 1,945 deleted).
% 0.60/0.80  ; Path-index has 3,301 nodes (3,743 at peak, 4,677 added, 1,376 deleted).
% 0.60/0.80  ; Trie-index has 525 entries (1,193 at peak, 2,470 added, 1,945 deleted).
% 0.60/0.80  ; Trie-index has 2,284 nodes (5,053 at peak, 10,423 added, 8,139 deleted).
% 0.60/0.80  ; Retrieved 6,217 generalization terms in 9,346 calls.
% 0.60/0.80  ; Retrieved 5,260 instance terms in 631 calls.
% 0.60/0.80  ; Retrieved 5,601 unifiable terms in 252 calls.
% 0.60/0.80  ; 
% 0.60/0.80  ; The agenda of rows to process has 33 entries:
% 0.60/0.80  ;     4 with value 23             12 with value 26               3 with value 28
% 0.60/0.80  ;    13 with value 25              1 with value 27
% 0.60/0.80  ; The agenda of rows to give has 125 entries:
% 0.60/0.80  ;     3 with value (4 20)         15 with value (4 27)           2 with value (4 34)
% 0.60/0.80  ;     1 with value (4 21)          9 with value (4 28)           6 with value (4 35)
% 0.60/0.80  ;     6 with value (4 22)          7 with value (4 29)           1 with value (4 36)
% 0.60/0.80  ;    12 with value (4 23)          8 with value (4 30)           3 with value (4 37)
% 0.60/0.80  ;     8 with value (4 24)          3 with value (4 31)           2 with value (4 38)
% 0.60/0.80  ;    13 with value (4 25)         11 with value (4 32)           1 with value (4 41)
% 0.60/0.80  ;    12 with value (4 26)          2 with value (4 33)
% 0.60/0.80  Evaluation took:
% 0.60/0.80    0.317 seconds of real time
% 0.60/0.80    0.287697 seconds of user run time
% 0.60/0.80    0.02898 seconds of system run time
% 0.60/0.80    [Run times include 0.015 seconds GC run time.]
% 0.60/0.80    0 calls to %EVAL
% 0.60/0.80    0 page faults and
% 0.60/0.80    26,731,592 bytes consed.
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:28:36
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  * 
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