TSTP Solution File: GRP104-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP104-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 11:36:10 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   74 (  68 unt;   0 nHn;   8 RR)
%            Number of literals    :   87 (  86 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  211 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(X,inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(Z))),Y))) = Z,
    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,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(4,plain,
    ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
    | inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
    | inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[prove_these_axioms,multiply,theory(equality)]) ).

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

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

cnf(7,plain,
    double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(inverse(Z),Y))))) = Z,
    inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).

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

cnf(15,plain,
    double_divide(X,inverse(double_divide(double_divide(Y,Z),inverse(double_divide(inverse(U),inverse(double_divide(Y,inverse(double_divide(inverse(X),Z))))))))) = U,
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(21,plain,
    double_divide(X,inverse(double_divide(double_divide(double_divide(inverse(Y),Z),Z),inverse(X)))) = Y,
    inference('PARAMODULATE',[status(thm)],[12,single_axiom,theory(equality)]) ).

cnf(31,plain,
    double_divide(X,inverse(double_divide(inverse(Y),Z))) = double_divide(double_divide(double_divide(inverse(Y),U),U),inverse(double_divide(X,Z))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,21,theory(equality)]) ).

cnf(35,plain,
    double_divide(X,inverse(double_divide(double_divide(Y,inverse(double_divide(double_divide(double_divide(inverse(Y),Z),Z),inverse(inverse(U))))),inverse(X)))) = U,
    inference('PARAMODULATE',[status(thm)],[21,21,theory(equality)]) ).

cnf(37,plain,
    double_divide(X,inverse(double_divide(Y,inverse(double_divide(inverse(Z),inverse(double_divide(double_divide(double_divide(inverse(X),U),U),inverse(Y)))))))) = Z,
    inference('PARAMODULATE',[status(thm)],[7,21,theory(equality)]) ).

cnf(38,plain,
    double_divide(double_divide(X,inverse(double_divide(inverse(Y),inverse(double_divide(double_divide(double_divide(inverse(X),Z),Z),inverse(inverse(U))))))),inverse(Y)) = U,
    inference('PARAMODULATE',[status(thm)],[12,21,theory(equality)]) ).

cnf(50,plain,
    double_divide(inverse(X),inverse(double_divide(inverse(Y),Z))) = double_divide(double_divide(double_divide(inverse(X),U),U),inverse(double_divide(double_divide(double_divide(inverse(Y),V),V),Z))),
    inference('PARAMODULATE',[status(thm)],[31,31,theory(equality)]) ).

cnf(53,plain,
    double_divide(X,inverse(double_divide(inverse(Y),Z))) = double_divide(double_divide(U,inverse(double_divide(double_divide(double_divide(inverse(U),V),V),inverse(inverse(Y))))),inverse(double_divide(X,Z))),
    inference('PARAMODULATE',[status(thm)],[31,21,theory(equality)]) ).

cnf(62,plain,
    double_divide(double_divide(X,Y),inverse(double_divide(inverse(Z),inverse(double_divide(X,inverse(double_divide(inverse(U),Y))))))) = double_divide(double_divide(double_divide(inverse(Z),V),V),inverse(U)),
    inference('PARAMODULATE',[status(thm)],[31,7,theory(equality)]) ).

cnf(69,plain,
    double_divide(X,inverse(double_divide(inverse(Y),inverse(double_divide(inverse(Z),U))))) = double_divide(inverse(Y),inverse(double_divide(inverse(Z),inverse(double_divide(X,U))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[31,31,theory(equality)]),50,theory(equality)]) ).

cnf(74,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(double_divide(double_divide(Z,U),inverse(X))),inverse(double_divide(Z,U))))) = Y,
    inference('REWRITE',[status(thm)],[6,69,theory(equality)]) ).

cnf(80,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(double_divide(Z,inverse(X))),inverse(Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[74,74,theory(equality)]) ).

cnf(81,plain,
    double_divide(double_divide(inverse(double_divide(X,inverse(Y))),inverse(Z)),inverse(Y)) = double_divide(Z,inverse(X)),
    inference('PARAMODULATE',[status(thm)],[7,80,theory(equality)]) ).

cnf(82,plain,
    double_divide(inverse(X),inverse(double_divide(inverse(double_divide(Y,inverse(Z))),inverse(Y)))) = double_divide(inverse(double_divide(double_divide(Z,U),inverse(X))),U),
    inference('PARAMODULATE',[status(thm)],[80,single_axiom,theory(equality)]) ).

cnf(83,plain,
    double_divide(double_divide(X,inverse(double_divide(inverse(double_divide(Y,inverse(Z))),inverse(Y)))),inverse(double_divide(X,inverse(U)))) = double_divide(Z,inverse(U)),
    inference('PARAMODULATE',[status(thm)],[7,80,theory(equality)]) ).

cnf(90,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(double_divide(double_divide(inverse(Z),U),inverse(double_divide(inverse(X),U))))))) = Y,
    inference('PARAMODULATE',[status(thm)],[80,12,theory(equality)]) ).

cnf(92,plain,
    double_divide(double_divide(X,inverse(double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Z,inverse(U))),inverse(Z)))))),inverse(Y)) = double_divide(U,inverse(X)),
    inference('PARAMODULATE',[status(thm)],[12,80,theory(equality)]) ).

cnf(94,plain,
    double_divide(inverse(X),inverse(double_divide(inverse(double_divide(Y,inverse(inverse(double_divide(Z,inverse(X)))))),inverse(Y)))) = double_divide(inverse(double_divide(U,inverse(Z))),inverse(U)),
    inference('PARAMODULATE',[status(thm)],[80,80,theory(equality)]) ).

cnf(97,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(double_divide(inverse(double_divide(U,inverse(X))),inverse(U)))))) = double_divide(inverse(double_divide(double_divide(Y,V),inverse(Z))),V),
    inference('PARAMODULATE',[status(thm)],[5,80,theory(equality)]) ).

cnf(104,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(double_divide(inverse(double_divide(U,inverse(X))),inverse(U)))))) = double_divide(double_divide(double_divide(inverse(Z),V),V),inverse(Y)),
    inference('PARAMODULATE',[status(thm)],[31,80,theory(equality)]) ).

cnf(105,plain,
    double_divide(double_divide(X,inverse(Y)),inverse(Z)) = double_divide(Y,inverse(double_divide(inverse(Z),inverse(X)))),
    inference('PARAMODULATE',[status(thm)],[12,81,theory(equality)]) ).

cnf(107,plain,
    double_divide(double_divide(X,inverse(inverse(Y))),inverse(double_divide(X,inverse(inverse(double_divide(Z,inverse(Y))))))) = double_divide(inverse(double_divide(U,inverse(Z))),inverse(U)),
    inference('REWRITE',[status(thm)],[94,105,theory(equality)]) ).

cnf(112,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X),Y),Y),inverse(inverse(Z))),inverse(X)),inverse(U)),inverse(U)) = Z,
    inference('REWRITE',[status(thm)],[38,105,theory(equality)]) ).

cnf(113,plain,
    double_divide(X,inverse(double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X),Y),Y),inverse(Z)),inverse(Z)),inverse(U)))) = U,
    inference('REWRITE',[status(thm)],[37,105,theory(equality)]) ).

cnf(115,plain,
    double_divide(double_divide(double_divide(X,inverse(double_divide(inverse(Y),Z))),inverse(double_divide(X,Z))),inverse(U)) = double_divide(double_divide(double_divide(inverse(U),V),V),inverse(Y)),
    inference('REWRITE',[status(thm)],[62,105,theory(equality)]) ).

cnf(116,plain,
    double_divide(X,inverse(double_divide(double_divide(double_divide(Y,inverse(double_divide(inverse(X),Z))),inverse(double_divide(Y,Z))),inverse(U)))) = U,
    inference('REWRITE',[status(thm)],[15,105,theory(equality)]) ).

cnf(117,plain,
    double_divide(X,inverse(double_divide(double_divide(Y,inverse(Z)),inverse(X)))) = double_divide(Z,inverse(Y)),
    inference('PARAMODULATE',[status(thm)],[21,81,theory(equality)]) ).

cnf(118,plain,
    double_divide(double_divide(double_divide(double_divide(inverse(X),Y),Y),inverse(inverse(Z))),inverse(X)) = Z,
    inference('REWRITE',[status(thm)],[35,117,theory(equality)]) ).

cnf(119,plain,
    double_divide(double_divide(X,inverse(Y)),inverse(Y)) = X,
    inference('REWRITE',[status(thm)],[112,118,theory(equality)]) ).

cnf(123,plain,
    double_divide(X,inverse(double_divide(double_divide(double_divide(inverse(X),Y),Y),inverse(Z)))) = Z,
    inference('REWRITE',[status(thm)],[113,119,theory(equality)]) ).

cnf(124,plain,
    double_divide(X,inverse(double_divide(inverse(Y),Z))) = double_divide(inverse(Y),inverse(double_divide(X,Z))),
    inference('REWRITE',[status(thm)],[53,123,theory(equality)]) ).

cnf(128,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(X)) = Y,
    inference('REWRITE',[status(thm)],[90,7,124,theory(equality)]) ).

cnf(130,plain,
    double_divide(double_divide(X,inverse(inverse(Y))),inverse(double_divide(X,inverse(inverse(double_divide(Z,inverse(Y))))))) = Z,
    inference('REWRITE',[status(thm)],[107,128,theory(equality)]) ).

cnf(133,plain,
    double_divide(double_divide(X,inverse(double_divide(inverse(Y),inverse(Z)))),inverse(Y)) = double_divide(Z,inverse(X)),
    inference('REWRITE',[status(thm)],[92,128,theory(equality)]) ).

cnf(136,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(X)))) = double_divide(inverse(double_divide(double_divide(Y,U),inverse(Z))),U),
    inference('REWRITE',[status(thm)],[97,128,theory(equality)]) ).

cnf(137,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(X)))) = double_divide(double_divide(double_divide(inverse(Z),U),U),inverse(Y)),
    inference('REWRITE',[status(thm)],[104,128,theory(equality)]) ).

cnf(138,plain,
    double_divide(inverse(X),inverse(Y)) = double_divide(inverse(double_divide(double_divide(Y,Z),inverse(X))),Z),
    inference('REWRITE',[status(thm)],[82,128,theory(equality)]) ).

cnf(139,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(double_divide(inverse(Z),inverse(X)))) = double_divide(inverse(Z),inverse(Y)),
    inference('REWRITE',[status(thm)],[136,138,theory(equality)]) ).

cnf(140,plain,
    double_divide(inverse(X),inverse(Y)) = double_divide(double_divide(double_divide(inverse(X),Z),Z),inverse(Y)),
    inference('REWRITE',[status(thm)],[137,139,theory(equality)]) ).

cnf(143,plain,
    double_divide(double_divide(double_divide(X,inverse(double_divide(inverse(Y),Z))),inverse(double_divide(X,Z))),inverse(U)) = double_divide(inverse(U),inverse(Y)),
    inference('REWRITE',[status(thm)],[115,140,theory(equality)]) ).

cnf(144,plain,
    double_divide(X,inverse(double_divide(inverse(Y),inverse(X)))) = Y,
    inference('REWRITE',[status(thm)],[116,143,theory(equality)]) ).

cnf(145,plain,
    double_divide(double_divide(inverse(X),inverse(inverse(Y))),inverse(X)) = Y,
    inference('REWRITE',[status(thm)],[118,140,theory(equality)]) ).

cnf(166,plain,
    double_divide(double_divide(X,inverse(Y)),inverse(double_divide(X,inverse(Z)))) = double_divide(Y,inverse(Z)),
    inference('REWRITE',[status(thm)],[83,128,theory(equality)]) ).

cnf(168,plain,
    double_divide(inverse(X),inverse(inverse(double_divide(Y,inverse(X))))) = Y,
    inference('REWRITE',[status(thm)],[130,166,theory(equality)]) ).

cnf(176,plain,
    inverse(double_divide(X,inverse(Y))) = double_divide(Y,inverse(X)),
    inference('PARAMODULATE',[status(thm)],[81,119,theory(equality)]) ).

cnf(181,plain,
    inverse(inverse(X)) = X,
    inference('REWRITE',[status(thm)],[144,119,176,theory(equality)]) ).

cnf(184,plain,
    double_divide(double_divide(inverse(X),Y),inverse(X)) = Y,
    inference('REWRITE',[status(thm)],[145,181,theory(equality)]) ).

cnf(191,plain,
    ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
    | inverse(double_divide(a2,double_divide(b2,inverse(b2)))) != a2
    | double_divide(double_divide(b3,a3),inverse(c3)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[4,181,176,theory(equality)]) ).

cnf(192,plain,
    inverse(double_divide(inverse(double_divide(X,inverse(Y))),Y)) = X,
    inference('REWRITE',[status(thm)],[168,181,176,theory(equality)]) ).

cnf(194,plain,
    double_divide(double_divide(X,Y),Y) = X,
    inference('PARAMODULATE',[status(thm)],[119,181,theory(equality)]) ).

cnf(196,plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference('PARAMODULATE',[status(thm)],[184,181,theory(equality)]) ).

cnf(197,plain,
    double_divide(X,Y) = double_divide(Y,X),
    inference('PARAMODULATE',[status(thm)],[194,196,theory(equality)]) ).

cnf(199,plain,
    double_divide(X,double_divide(X,Y)) = Y,
    inference('PARAMODULATE',[status(thm)],[196,194,theory(equality)]) ).

cnf(200,plain,
    ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
    | inverse(double_divide(a2,double_divide(b2,inverse(b2)))) != a2
    | double_divide(double_divide(b3,a3),inverse(c3)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[191,197,theory(equality)]),theory(equality)]) ).

cnf(201,plain,
    double_divide(inverse(double_divide(X,Y)),inverse(X)) = inverse(Y),
    inference('PARAMODULATE',[status(thm)],[128,181,theory(equality)]) ).

cnf(202,plain,
    inverse(X) = double_divide(inverse(double_divide(X,inverse(Y))),Y),
    inference('PARAMODULATE',[status(thm)],[181,192,theory(equality)]) ).

cnf(203,plain,
    double_divide(inverse(X),inverse(Y)) = inverse(double_divide(Y,X)),
    inference('PARAMODULATE',[status(thm)],[194,201,theory(equality)]) ).

cnf(227,plain,
    double_divide(double_divide(X,double_divide(Y,Z)),inverse(Z)) = double_divide(Y,inverse(X)),
    inference('REWRITE',[status(thm)],[133,181,203,theory(equality)]) ).

cnf(228,plain,
    double_divide(double_divide(X,inverse(Y)),inverse(Z)) = double_divide(Y,double_divide(X,Z)),
    inference('REWRITE',[status(thm)],[105,181,203,theory(equality)]) ).

cnf(230,plain,
    ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
    | double_divide(double_divide(b3,a3),inverse(c3)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
    inference('REWRITE',[status(thm)],[200,196,181,228,theory(equality)]) ).

cnf(242,plain,
    double_divide(inverse(X),Y) = inverse(double_divide(X,inverse(Y))),
    inference('PARAMODULATE',[status(thm)],[194,202,theory(equality)]) ).

cnf(248,plain,
    ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
    | double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(double_divide(c3,b3),inverse(a3)) ),
    inference('REWRITE',[status(thm)],[230,181,242,theory(equality)]) ).

cnf(261,plain,
    double_divide(X,inverse(X)) = double_divide(Y,inverse(Y)),
    inference('PARAMODULATE',[status(thm)],[227,199,theory(equality)]) ).

cnf(262,plain,
    double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(double_divide(c3,b3),inverse(a3)),
    inference('REWRITE',[status(thm)],[248,261,theory(equality)]) ).

cnf(263,plain,
    double_divide(double_divide(X,Y),inverse(Z)) = double_divide(double_divide(Y,Z),inverse(X)),
    inference('PARAMODULATE',[status(thm)],[227,194,theory(equality)]) ).

cnf(264,plain,
    $false,
    inference('REWRITE',[status(thm)],[262,263,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP104-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Tue Jun 14 05:08:54 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  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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 2022-06-14T05:08:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T05:08:54
% 0.47/0.63  
% 0.47/0.63  
% 0.47/0.63  #||
% 0.47/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.63  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;       615 formulas have been input or derived (from 29 formulas).
% 0.48/0.65  ;       264 (43%) were retained.  Of these,
% 0.48/0.65  ;          191 (72%) were simplified or subsumed later,
% 0.48/0.65  ;           73 (28%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.001   1%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.000   0%   Assert                       (3 calls)
% 0.48/0.65  ;     0.039  23%   Process new row              (568 calls)
% 0.48/0.65  ;     0.000   0%   Resolution                   (56 calls)
% 0.48/0.65  ;     0.012   7%   Paramodulation               (28 calls)
% 0.48/0.65  ;     0.000   0%   Condensing                   (5 calls)
% 0.48/0.65  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.48/0.65  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.48/0.65  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.48/0.65  ;     0.021  13%   Forward simplification       (453 calls)
% 0.48/0.65  ;     0.027  16%   Backward simplification      (263 calls)
% 0.48/0.65  ;     0.041  25%   Ordering                     (3,314 calls)
% 0.48/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.000   0%   Purity testing               (1 call)
% 0.48/0.65  ;     0.025  15%   Other
% 0.48/0.65  ;     0.166        Total
% 0.48/0.65  ;     0.180        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 1,224 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 0 entries (1 at peak, 5 added, 5 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 1 node (36 at peak, 146 added, 145 deleted).
% 0.48/0.65  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.48/0.65  ;  Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.48/0.65  ; Path-index has 336 entries (668 at peak, 1,448 added, 1,112 deleted).
% 0.48/0.65  ; Path-index has 1,414 nodes (1,447 at peak, 2,194 added, 780 deleted).
% 0.48/0.65  ; Trie-index has 336 entries (668 at peak, 1,448 added, 1,112 deleted).
% 0.48/0.65  ; Trie-index has 1,391 nodes (3,139 at peak, 6,147 added, 4,756 deleted).
% 0.48/0.65  ; Retrieved 1,962 generalization terms in 3,248 calls.
% 0.48/0.65  ; Retrieved 2,398 instance terms in 350 calls.
% 0.48/0.65  ; Retrieved 2,989 unifiable terms in 267 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.48/0.65  ;     1 with value 0
% 0.48/0.65  ; The agenda of rows to process has 23 entries:
% 0.48/0.65  ;     2 with value 23              1 with value 26               4 with value 29
% 0.48/0.65  ;     2 with value 24              1 with value 27               3 with value 31
% 0.48/0.65  ;    10 with value 25
% 0.48/0.65  ; The agenda of rows to give has 61 entries:
% 0.48/0.65  ;     1 with value (4 20)          3 with value (4 27)           2 with value (4 34)
% 0.48/0.65  ;     2 with value (4 21)          9 with value (4 28)           2 with value (4 35)
% 0.48/0.65  ;     6 with value (4 22)          2 with value (4 29)           4 with value (4 36)
% 0.48/0.65  ;     2 with value (4 23)          6 with value (4 30)           1 with value (4 37)
% 0.48/0.65  ;     2 with value (4 24)          5 with value (4 31)           1 with value (4 38)
% 0.48/0.65  ;     3 with value (4 25)          4 with value (4 32)           1 with value (4 43)
% 0.48/0.65  ;     2 with value (4 26)          3 with value (4 33)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.18 seconds of real time
% 0.48/0.65    0.165755 seconds of user run time
% 0.48/0.65    0.014916 seconds of system run time
% 0.48/0.65    [Run times include 0.007 seconds GC run time.]
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    18,205,728 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:08:54
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------