TSTP Solution File: LAT097-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT097-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Sun Jul 17 06:42:17 EDT 2022

% Result   : Unsatisfiable 2.12s 2.33s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   38 (  38 unt;   0 nHn;   2 RR)
%            Number of literals    :   38 (  37 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  117 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(prove_wal_axioms_6,negated_conjecture,
    join(join(meet(a,b),meet(c,b)),b) != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_6) ).

cnf(3,plain,
    join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))) = join(meet(Y,Z),meet(Z,join(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(8,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(Y1,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(Y1,Y)),Y)),meet(Z1,join(Y,meet(meet(join(Y,X1),join(Y1,Y)),Y)))),join(W,join(join(meet(Y,X1),meet(Y1,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).

cnf(11,plain,
    join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))))))))),X1),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))))))))),X1))) = join(meet(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(Z,join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y))))))),
    inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).

cnf(18,plain,
    join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[8,single_axiom,theory(equality)]) ).

cnf(38,plain,
    join(meet(X,Y),meet(X,join(X,Y))) = X,
    inference('PARAMODULATE',[status(thm)],[18,18,theory(equality)]) ).

cnf(39,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(Y,join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[3,18,theory(equality)]) ).

cnf(43,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(join(meet(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))))),join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),V),meet(W,join(meet(X,Y),meet(Y,join(X,Y))))),join(meet(X,Y),meet(Y,join(X,Y))))),meet(Y,join(join(meet(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))))),join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),V),meet(W,join(meet(X,Y),meet(Y,join(X,Y))))),join(meet(X,Y),meet(Y,join(X,Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = join(meet(X,Y),meet(Y,join(X,Y))),
    inference('PARAMODULATE',[status(thm)],[3,18,theory(equality)]) ).

cnf(55,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(Y1,Y)),Y)),meet(Y,join(W,join(join(meet(Y,X1),meet(Y1,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[8,38,theory(equality)]) ).

cnf(67,plain,
    join(meet(join(meet(join(meet(X,join(join(meet(Y,Z),meet(U,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(U,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(U,Y)),Y)))),Y),meet(Y,join(join(meet(X,join(join(meet(Y,Z),meet(U,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(U,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(U,Y)),Y)))),Y))),W),meet(join(meet(X,join(join(meet(Y,Z),meet(U,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(U,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(U,Y)),Y)))),join(join(meet(join(meet(X,join(join(meet(Y,Z),meet(U,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(U,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(U,Y)),Y)))),Y),meet(Y,join(join(meet(X,join(join(meet(Y,Z),meet(U,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(U,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(U,Y)),Y)))),Y))),W))) = Y,
    inference('PARAMODULATE',[status(thm)],[8,38,theory(equality)]) ).

cnf(93,plain,
    X = join(meet(Y,join(join(meet(X,Z),meet(U,X)),X)),meet(X,join(Y,join(join(meet(X,Z),meet(U,X)),X)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,39,theory(equality)]),38,39,theory(equality)]) ).

cnf(96,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('REWRITE',[status(thm)],[55,93,theory(equality)]) ).

cnf(97,plain,
    X = join(meet(Y,X),meet(X,join(Y,X))),
    inference('REWRITE',[status(thm)],[43,96,theory(equality)]) ).

cnf(107,plain,
    join(meet(X,Y),meet(join(meet(Z,join(join(meet(X,U),meet(V,X)),X)),meet(join(meet(X,meet(meet(join(X,U),join(V,X)),X)),meet(W,join(X,meet(meet(join(X,U),join(V,X)),X)))),join(Z,join(join(meet(X,U),meet(V,X)),X)))),join(X,Y))) = X,
    inference('REWRITE',[status(thm)],[67,97,theory(equality)]) ).

cnf(127,plain,
    X = join(meet(Y,join(join(meet(X,Z),meet(U,X)),X)),meet(join(meet(X,meet(meet(join(X,Z),join(U,X)),X)),meet(V,join(X,meet(meet(join(X,Z),join(U,X)),X)))),join(Y,join(join(meet(X,Z),meet(U,X)),X)))),
    inference('REWRITE',[status(thm)],[11,38,107,97,theory(equality)]) ).

cnf(263,plain,
    X = join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),
    inference('PARAMODULATE',[status(thm)],[38,127,theory(equality)]) ).

cnf(264,plain,
    meet(meet(join(X,Y),join(Z,X)),X) = X,
    inference('PARAMODULATE',[status(thm)],[97,263,theory(equality)]) ).

cnf(265,plain,
    X = join(meet(X,X),meet(Y,join(X,X))),
    inference('REWRITE',[status(thm)],[263,264,theory(equality)]) ).

cnf(266,plain,
    X = join(join(meet(X,Y),meet(Z,X)),X),
    inference('PARAMODULATE',[status(thm)],[93,265,theory(equality)]) ).

cnf(286,plain,
    X = join(meet(X,X),join(X,X)),
    inference('PARAMODULATE',[status(thm)],[265,264,theory(equality)]) ).

cnf(309,plain,
    join(meet(meet(X,X),join(X,X)),meet(meet(X,X),X)) = meet(X,X),
    inference('PARAMODULATE',[status(thm)],[38,286,theory(equality)]) ).

cnf(310,plain,
    join(X,X) = join(meet(meet(X,X),join(X,X)),meet(join(X,X),X)),
    inference('PARAMODULATE',[status(thm)],[97,286,theory(equality)]) ).

cnf(323,plain,
    meet(meet(join(X,Y),X),X) = X,
    inference('PARAMODULATE',[status(thm)],[264,266,theory(equality)]) ).

cnf(324,plain,
    X = join(join(meet(X,Y),X),X),
    inference('PARAMODULATE',[status(thm)],[266,264,theory(equality)]) ).

cnf(338,plain,
    meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y),
    inference('PARAMODULATE',[status(thm)],[323,38,theory(equality)]) ).

cnf(362,plain,
    meet(join(X,Y),X) = join(join(X,meet(join(X,Y),X)),meet(join(X,Y),X)),
    inference('PARAMODULATE',[status(thm)],[324,323,theory(equality)]) ).

cnf(375,plain,
    meet(X,X) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[338,323,theory(equality)]),323,theory(equality)]) ).

cnf(385,plain,
    X = join(X,meet(Y,join(X,X))),
    inference('REWRITE',[status(thm)],[265,375,theory(equality)]) ).

cnf(400,plain,
    join(meet(X,join(X,X)),X) = X,
    inference('REWRITE',[status(thm)],[309,375,theory(equality)]) ).

cnf(401,plain,
    join(X,X) = join(meet(X,join(X,X)),meet(join(X,X),X)),
    inference('REWRITE',[status(thm)],[310,375,theory(equality)]) ).

cnf(448,plain,
    meet(join(X,X),X) = X,
    inference('PARAMODULATE',[status(thm)],[264,375,theory(equality)]) ).

cnf(449,plain,
    join(X,X) = X,
    inference('REWRITE',[status(thm)],[401,400,448,theory(equality)]) ).

cnf(463,plain,
    X = join(X,meet(Y,X)),
    inference('REWRITE',[status(thm)],[385,449,theory(equality)]) ).

cnf(478,plain,
    meet(join(X,Y),X) = X,
    inference('REWRITE',[status(thm)],[362,463,theory(equality)]) ).

cnf(524,plain,
    meet(X,meet(Y,X)) = meet(Y,X),
    inference('PARAMODULATE',[status(thm)],[478,97,theory(equality)]) ).

cnf(579,plain,
    X = join(join(meet(Y,X),meet(Z,X)),X),
    inference('PARAMODULATE',[status(thm)],[266,524,theory(equality)]) ).

cnf(580,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_wal_axioms_6,579,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : LAT097-1 : TPTP v8.1.0. Released v2.6.0.
% 0.02/0.08  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Wed Jun 29 04:39:43 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.34  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35  * 
% 0.11/0.35  * 
% 0.11/0.36  #<PACKAGE "SNARK-USER">
% 0.11/0.36  * 
% 0.11/0.36  SNARK-TPTP-OPTIONS
% 0.11/0.36  * 
% 0.11/0.36  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36   (USE-FACTORING :POS)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36  * 
% 0.11/0.36  "."
% 0.11/0.36  * 
% 0.11/0.36  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T04:39:43
% 0.11/0.36  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-29T04:39:43
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  #||
% 2.12/2.33  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.12/2.33  % SZS output start Refutation
% See solution above
% 2.12/2.35  ||#
% 2.12/2.35  
% 2.12/2.35  ; Summary of computation:
% 2.12/2.35  ;      1310 formulas have been input or derived (from 40 formulas).
% 2.12/2.35  ;       580 (44%) were retained.  Of these,
% 2.12/2.35  ;          470 (81%) were simplified or subsumed later,
% 2.12/2.35  ;          110 (19%) are still being kept.
% 2.12/2.35  ; 
% 2.12/2.35  ; Run time in seconds excluding printing time:
% 2.12/2.35  ;     0.001   0%   Read assertion file          (1 call)
% 2.12/2.35  ;     0.000   0%   Assert                       (2 calls)
% 2.12/2.35  ;     1.153  58%   Process new row              (1,260 calls)
% 2.12/2.35  ;     0.001   0%   Resolution                   (78 calls)
% 2.12/2.35  ;     0.070   4%   Paramodulation               (39 calls)
% 2.12/2.35  ;     0.222  11%   Forward simplification       (1,128 calls)
% 2.12/2.35  ;     0.423  21%   Backward simplification      (580 calls)
% 2.12/2.35  ;     0.076   4%   Ordering                     (2,146 calls)
% 2.12/2.35  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.12/2.35  ;     0.000   0%   Purity testing               (1 call)
% 2.12/2.35  ;     0.026   1%   Other
% 2.12/2.35  ;     1.972        Total
% 2.12/2.35  ;     1.992        Real time
% 2.12/2.35  ; 
% 2.12/2.35  ; Term-hash-array has 3,732 terms in all.
% 2.12/2.35  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.12/2.35  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.12/2.35  ; Path-index has 333 entries (1,767 at peak, 3,967 added, 3,634 deleted).
% 2.12/2.35  ; Path-index has 181,263 nodes (252,321 at peak, 277,635 added, 96,372 deleted).
% 2.12/2.35  ; Trie-index has 333 entries (1,767 at peak, 3,967 added, 3,634 deleted).
% 2.12/2.35  ; Trie-index has 8,217 nodes (317,466 at peak, 434,369 added, 426,152 deleted).
% 2.12/2.35  ; Retrieved 27,361 generalization terms in 30,972 calls.
% 2.12/2.35  ; Retrieved 5,680 instance terms in 579 calls.
% 2.12/2.35  ; Retrieved 3,946 unifiable terms in 397 calls.
% 2.12/2.35  ; 
% 2.12/2.35  ; The agenda of rows to process has 8 entries:
% 2.12/2.35  ;     1 with value 28              1 with value 45               1 with value 62
% 2.12/2.35  ;     2 with value 32              1 with value 50               1 with value 66
% 2.12/2.35  ;     1 with value 37
% 2.12/2.35  ; The agenda of rows to give has 90 entries:
% 2.12/2.35  ;     1 with value (4 22)          2 with value (4 49)           1 with value (4 108)
% 2.12/2.35  ;     1 with value (4 23)          2 with value (4 50)           1 with value (4 124)
% 2.12/2.35  ;     4 with value (4 25)          1 with value (4 54)           1 with value (4 126)
% 2.12/2.35  ;     4 with value (4 26)          1 with value (4 57)           1 with value (4 128)
% 2.12/2.35  ;     5 with value (4 27)          1 with value (4 59)           2 with value (4 130)
% 2.12/2.35  ;     2 with value (4 28)          1 with value (4 61)           1 with value (4 132)
% 2.12/2.35  ;     3 with value (4 29)          1 with value (4 62)           1 with value (4 138)
% 2.12/2.35  ;     1 with value (4 31)          1 with value (4 64)           1 with value (4 146)
% 2.12/2.35  ;     1 with value (4 33)          2 with value (4 66)           1 with value (4 151)
% 2.12/2.35  ;     4 with value (4 34)          2 with value (4 70)           1 with value (4 152)
% 2.12/2.35  ;     1 with value (4 35)          1 with value (4 72)           1 with value (4 154)
% 2.12/2.35  ;     2 with value (4 36)          1 with value (4 77)           1 with value (4 167)
% 2.12/2.35  ;     1 with value (4 37)          1 with value (4 79)           1 with value (4 199)
% 2.12/2.35  ;     2 with value (4 38)          2 with value (4 80)           1 with value (4 207)
% 2.12/2.35  ;     1 with value (4 39)          3 with value (4 81)           1 with value (4 213)
% 2.12/2.35  ;     3 with value (4 40)          1 with value (4 84)           1 with value (4 215)
% 2.12/2.35  ;     1 with value (4 42)          1 with value (4 86)           1 with value (4 223)
% 2.12/2.35  ;     1 with value (4 43)          1 with value (4 95)           1 with value (4 225)
% 2.12/2.35  ;     3 with value (4 45)          1 with value (4 98)           1 with value (4 239)
% 2.12/2.35  ;     1 with value (4 47)          1 with value (4 100)          1 with value (4 259)
% 2.12/2.35  Evaluation took:
% 2.12/2.35    1.993 seconds of real time
% 2.12/2.35    1.867165 seconds of user run time
% 2.12/2.35    0.125297 seconds of system run time
% 2.12/2.35    [Run times include 0.531 seconds GC run time.]
% 2.12/2.35    0 calls to %EVAL
% 2.12/2.35    0 page faults and
% 2.12/2.35    147,358,488 bytes consed.
% 2.12/2.35  :PROOF-FOUND
% 2.12/2.35  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T04:39:45
% 2.12/2.35  :PROOF-FOUND
% 2.12/2.35  * 
%------------------------------------------------------------------------------