TSTP Solution File: LAT096-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT096-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:42:16 EDT 2022
% Result : Unsatisfiable 2.25s 2.47s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 2 RR)
% Number of literals : 62 ( 61 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 2 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 : 170 ( 26 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_wal_axioms_5,negated_conjecture,
meet(meet(join(a,b),join(c,b)),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms_5) ).
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(54,plain,
join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[38,38,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(134,plain,
join(meet(meet(meet(X,Y),meet(Y,join(X,Y))),meet(meet(X,Y),Y)),meet(meet(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y))) = meet(meet(X,Y),meet(Y,join(X,Y))),
inference('PARAMODULATE',[status(thm)],[54,97,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(272,plain,
join(meet(meet(X,X),meet(Y,join(X,X))),meet(meet(X,X),X)) = meet(X,X),
inference('PARAMODULATE',[status(thm)],[38,265,theory(equality)]) ).
cnf(275,plain,
join(meet(meet(meet(X,X),meet(Y,join(X,X))),meet(meet(X,X),X)),meet(meet(meet(X,X),meet(Y,join(X,X))),meet(X,X))) = meet(meet(X,X),meet(Y,join(X,X))),
inference('PARAMODULATE',[status(thm)],[54,265,theory(equality)]) ).
cnf(286,plain,
X = join(meet(X,X),join(X,X)),
inference('PARAMODULATE',[status(thm)],[265,264,theory(equality)]) ).
cnf(300,plain,
join(meet(meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),meet(X,X)),meet(meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),X)) = meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),
inference('PARAMODULATE',[status(thm)],[134,264,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(361,plain,
meet(meet(X,join(meet(X,Y),X)),join(meet(X,Y),X)) = join(meet(X,Y),X),
inference('PARAMODULATE',[status(thm)],[323,324,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(386,plain,
join(meet(X,meet(Y,join(X,X))),X) = X,
inference('REWRITE',[status(thm)],[272,375,theory(equality)]) ).
cnf(388,plain,
join(meet(meet(X,meet(Y,join(X,X))),X),meet(meet(X,meet(Y,join(X,X))),X)) = meet(X,meet(Y,join(X,X))),
inference('REWRITE',[status(thm)],[275,375,theory(equality)]) ).
cnf(399,plain,
join(meet(meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),X),meet(meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),X)) = meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),
inference('REWRITE',[status(thm)],[300,375,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(428,plain,
meet(X,meet(X,Y)) = join(join(meet(X,Y),meet(X,meet(X,Y))),meet(X,meet(X,Y))),
inference('PARAMODULATE',[status(thm)],[324,338,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(456,plain,
meet(meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),X) = meet(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))),
inference('REWRITE',[status(thm)],[399,449,theory(equality)]) ).
cnf(463,plain,
X = join(X,meet(Y,X)),
inference('REWRITE',[status(thm)],[385,449,theory(equality)]) ).
cnf(464,plain,
meet(X,meet(X,Y)) = meet(X,Y),
inference('REWRITE',[status(thm)],[428,463,theory(equality)]) ).
cnf(474,plain,
meet(meet(X,join(meet(join(X,Y),join(Z,X)),X)),X) = meet(X,join(meet(join(X,Y),join(Z,X)),X)),
inference('REWRITE',[status(thm)],[456,464,theory(equality)]) ).
cnf(478,plain,
meet(join(X,Y),X) = X,
inference('REWRITE',[status(thm)],[362,463,theory(equality)]) ).
cnf(482,plain,
join(meet(X,meet(Y,X)),X) = X,
inference('REWRITE',[status(thm)],[386,449,theory(equality)]) ).
cnf(484,plain,
meet(meet(X,meet(Y,X)),X) = meet(X,meet(Y,X)),
inference('REWRITE',[status(thm)],[388,449,theory(equality)]) ).
cnf(489,plain,
meet(meet(X,join(Y,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[264,449,theory(equality)]) ).
cnf(492,plain,
X = meet(X,join(meet(join(X,Y),join(Z,X)),X)),
inference('REWRITE',[status(thm)],[474,489,theory(equality)]) ).
cnf(524,plain,
meet(X,meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[478,97,theory(equality)]) ).
cnf(529,plain,
join(meet(X,Y),Y) = Y,
inference('REWRITE',[status(thm)],[482,524,theory(equality)]) ).
cnf(530,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference('REWRITE',[status(thm)],[484,524,theory(equality)]) ).
cnf(532,plain,
meet(X,join(meet(X,Y),X)) = join(meet(X,Y),X),
inference('REWRITE',[status(thm)],[361,530,theory(equality)]) ).
cnf(608,plain,
join(X,meet(meet(X,join(Y,X)),join(meet(X,join(Y,X)),X))) = meet(X,join(Y,X)),
inference('PARAMODULATE',[status(thm)],[38,489,theory(equality)]) ).
cnf(627,plain,
X = join(meet(X,join(Y,X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[492,463,theory(equality)]),532,theory(equality)]) ).
cnf(628,plain,
X = meet(X,join(Y,X)),
inference('REWRITE',[status(thm)],[608,449,489,627,theory(equality)]) ).
cnf(640,plain,
join(X,join(Y,X)) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[529,628,theory(equality)]) ).
cnf(658,plain,
meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[264,640,theory(equality)]) ).
cnf(659,plain,
$false,
inference('REWRITE',[status(thm)],[prove_wal_axioms_5,658,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT096-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 07:17:59 EDT 2022
% 0.12/0.34 % 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 2022-06-30T07:17:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-30T07:17:59
% 2.25/2.47
% 2.25/2.47
% 2.25/2.47 #||
% 2.25/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/2.47 % SZS output start Refutation
% See solution above
% 2.25/2.49 ||#
% 2.25/2.49
% 2.25/2.49 ; Summary of computation:
% 2.25/2.49 ; 1788 formulas have been input or derived (from 55 formulas).
% 2.25/2.49 ; 659 (37%) were retained. Of these,
% 2.25/2.49 ; 610 (93%) were simplified or subsumed later,
% 2.25/2.49 ; 49 ( 7%) are still being kept.
% 2.25/2.49 ;
% 2.25/2.49 ; Run time in seconds excluding printing time:
% 2.25/2.49 ; 0.002 0% Read assertion file (1 call)
% 2.25/2.49 ; 0.000 0% Assert (2 calls)
% 2.25/2.49 ; 1.153 57% Process new row (1,718 calls)
% 2.25/2.49 ; 0.014 1% Resolution (108 calls)
% 2.25/2.49 ; 0.076 4% Paramodulation (54 calls)
% 2.25/2.49 ; 0.224 11% Forward simplification (1,547 calls)
% 2.25/2.49 ; 0.436 22% Backward simplification (659 calls)
% 2.25/2.49 ; 0.077 4% Ordering (2,781 calls)
% 2.25/2.49 ; 0.000 0% Sortal reasoning (32 calls)
% 2.25/2.49 ; 0.000 0% Purity testing (1 call)
% 2.25/2.49 ; 0.025 1% Other
% 2.25/2.49 ; 2.007 Total
% 2.25/2.49 ; 2.025 Real time
% 2.25/2.49 ;
% 2.25/2.49 ; Term-hash-array has 3,913 terms in all.
% 2.25/2.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.25/2.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.25/2.49 ; Path-index has 139 entries (1,767 at peak, 4,159 added, 4,020 deleted).
% 2.25/2.49 ; Path-index has 180,275 nodes (252,315 at peak, 277,915 added, 97,640 deleted).
% 2.25/2.49 ; Trie-index has 139 entries (1,767 at peak, 4,159 added, 4,020 deleted).
% 2.25/2.49 ; Trie-index has 502 nodes (317,467 at peak, 437,169 added, 436,667 deleted).
% 2.25/2.49 ; Retrieved 35,239 generalization terms in 35,308 calls.
% 2.25/2.49 ; Retrieved 6,047 instance terms in 658 calls.
% 2.25/2.49 ; Retrieved 4,657 unifiable terms in 481 calls.
% 2.25/2.49 ;
% 2.25/2.49 ; The agenda of rows to process has 2 entries:
% 2.25/2.49 ; 2 with value 34
% 2.25/2.49 ; The agenda of rows to give has 28 entries:
% 2.25/2.49 ; 1 with value (4 23) 3 with value (4 28) 2 with value (4 32)
% 2.25/2.49 ; 2 with value (4 25) 4 with value (4 29) 2 with value (4 40)
% 2.25/2.49 ; 3 with value (4 26) 1 with value (4 30) 2 with value (4 41)
% 2.25/2.49 ; 5 with value (4 27) 3 with value (4 31)
% 2.25/2.49 Evaluation took:
% 2.25/2.49 2.025 seconds of real time
% 2.25/2.49 1.897817 seconds of user run time
% 2.25/2.49 0.126751 seconds of system run time
% 2.25/2.49 [Run times include 0.534 seconds GC run time.]
% 2.25/2.49 0 calls to %EVAL
% 2.25/2.49 0 page faults and
% 2.25/2.49 154,697,368 bytes consed.
% 2.25/2.49 :PROOF-FOUND
% 2.25/2.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T07:18:01
% 2.25/2.49 :PROOF-FOUND
% 2.25/2.49 *
%------------------------------------------------------------------------------