TSTP Solution File: LAT082-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT082-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:42:11 EDT 2022
% Result : Unsatisfiable 116.05s 116.24s
% Output : Refutation 116.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 4 RR)
% Number of literals : 74 ( 73 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 19 ( 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 : 231 ( 51 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(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms_3,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
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(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),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(9,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)),meet(join(meet(Y,meet(meet(join(X1,join(Y,Y1)),join(Z1,Y)),Y)),meet(U1,join(Y,meet(meet(join(X1,join(Y,Y1)),join(Z1,Y)),Y)))),join(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(12,plain,
join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))))),Y1),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))))),Y1))) = join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(20,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)],[9,single_axiom,theory(equality)]) ).
cnf(47,plain,
join(meet(X,Y),meet(X,join(X,Y))) = X,
inference('PARAMODULATE',[status(thm)],[20,20,theory(equality)]) ).
cnf(48,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[3,20,theory(equality)]) ).
cnf(51,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(Y,Z),meet(Z,join(Y,Z))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(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)],[3,20,theory(equality)]) ).
cnf(55,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(V,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),W)),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(V,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),W)),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)],[3,20,theory(equality)]) ).
cnf(66,plain,
join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[47,47,theory(equality)]) ).
cnf(67,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)),meet(Y,join(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[9,47,theory(equality)]) ).
cnf(80,plain,
join(meet(join(meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z),meet(Z,join(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z))),X1),meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),join(join(meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z),meet(Z,join(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z))),X1))) = Z,
inference('PARAMODULATE',[status(thm)],[9,47,theory(equality)]) ).
cnf(106,plain,
X = join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(X,join(Y,join(join(meet(Z,X),meet(X,U)),X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48,48,theory(equality)]),47,48,theory(equality)]) ).
cnf(109,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)],[67,106,theory(equality)]) ).
cnf(110,plain,
X = join(meet(Y,X),meet(X,join(Y,X))),
inference('REWRITE',[status(thm)],[55,109,theory(equality)]) ).
cnf(121,plain,
join(meet(X,Y),meet(join(meet(Z,join(join(meet(U,X),meet(X,V)),X)),meet(join(meet(X,meet(meet(join(U,join(X,V)),join(W,X)),X)),meet(X1,join(X,meet(meet(join(U,join(X,V)),join(W,X)),X)))),join(Z,join(join(meet(U,X),meet(X,V)),X)))),join(X,Y))) = X,
inference('REWRITE',[status(thm)],[80,110,theory(equality)]) ).
cnf(146,plain,
join(meet(X,Y),meet(join(meet(Z,join(X,X)),meet(X,join(Z,join(X,X)))),join(X,Y))) = X,
inference('REWRITE',[status(thm)],[51,110,theory(equality)]) ).
cnf(149,plain,
X = join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(join(meet(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)),meet(W,join(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)))),join(Y,join(join(meet(Z,X),meet(X,U)),X)))),
inference('REWRITE',[status(thm)],[12,47,121,110,theory(equality)]) ).
cnf(183,plain,
join(meet(X,join(Y,Y)),meet(Y,join(X,join(Y,Y)))) = Y,
inference('PARAMODULATE',[status(thm)],[110,146,theory(equality)]) ).
cnf(383,plain,
X = join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),
inference('PARAMODULATE',[status(thm)],[47,149,theory(equality)]) ).
cnf(384,plain,
meet(meet(join(X,join(Y,Z)),join(U,Y)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[110,383,theory(equality)]) ).
cnf(385,plain,
X = join(meet(X,X),meet(Y,join(X,X))),
inference('REWRITE',[status(thm)],[383,384,theory(equality)]) ).
cnf(386,plain,
join(X,X) = X,
inference('PARAMODULATE',[status(thm)],[183,385,theory(equality)]) ).
cnf(387,plain,
X = join(meet(X,X),meet(Y,X)),
inference('REWRITE',[status(thm)],[385,386,theory(equality)]) ).
cnf(392,plain,
X = join(join(meet(Y,X),meet(X,Z)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[106,386,theory(equality)]),387,theory(equality)]) ).
cnf(401,plain,
X = meet(X,X),
inference('PARAMODULATE',[status(thm)],[386,387,theory(equality)]) ).
cnf(402,plain,
X = join(X,meet(Y,X)),
inference('REWRITE',[status(thm)],[387,401,theory(equality)]) ).
cnf(419,plain,
X = join(meet(Y,X),X),
inference('PARAMODULATE',[status(thm)],[392,402,theory(equality)]) ).
cnf(420,plain,
X = join(join(X,meet(X,Y)),X),
inference('PARAMODULATE',[status(thm)],[392,401,theory(equality)]) ).
cnf(422,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,419,theory(equality)]),386,theory(equality)]) ).
cnf(450,plain,
meet(join(X,meet(X,Y)),X) = join(X,meet(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,420,theory(equality)]),386,theory(equality)]) ).
cnf(457,plain,
meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]) ).
cnf(458,plain,
meet(meet(join(X,Y),join(Z,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]) ).
cnf(459,plain,
meet(join(X,join(Y,Z)),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]),422,theory(equality)]) ).
cnf(482,plain,
meet(join(X,Y),X) = X,
inference('PARAMODULATE',[status(thm)],[459,386,theory(equality)]) ).
cnf(483,plain,
X = join(X,meet(X,Y)),
inference('REWRITE',[status(thm)],[450,482,theory(equality)]) ).
cnf(484,plain,
meet(join(X,Y),meet(Y,Z)) = meet(Y,Z),
inference('PARAMODULATE',[status(thm)],[459,47,theory(equality)]) ).
cnf(485,plain,
meet(join(X,Y),meet(Z,Y)) = meet(Z,Y),
inference('PARAMODULATE',[status(thm)],[459,110,theory(equality)]) ).
cnf(515,plain,
join(meet(X,meet(join(X,Y),join(join(X,Y),X))),meet(X,join(X,Y))) = X,
inference('PARAMODULATE',[status(thm)],[66,482,theory(equality)]) ).
cnf(524,plain,
join(X,Y) = join(join(X,Y),X),
inference('PARAMODULATE',[status(thm)],[483,482,theory(equality)]) ).
cnf(526,plain,
meet(X,join(X,Y)) = X,
inference('REWRITE',[status(thm)],[515,386,401,524,theory(equality)]) ).
cnf(531,plain,
join(meet(X,Y),X) = X,
inference('REWRITE',[status(thm)],[47,526,theory(equality)]) ).
cnf(532,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('REWRITE',[status(thm)],[66,386,526,theory(equality)]) ).
cnf(547,plain,
meet(X,meet(join(Y,X),join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[532,457,theory(equality)]) ).
cnf(548,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference('PARAMODULATE',[status(thm)],[457,402,theory(equality)]) ).
cnf(555,plain,
meet(X,meet(join(X,Y),join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[532,458,theory(equality)]) ).
cnf(562,plain,
join(meet(X,Y),join(Z,X)) = join(Z,X),
inference('PARAMODULATE',[status(thm)],[531,484,theory(equality)]) ).
cnf(572,plain,
join(meet(X,Y),join(Z,Y)) = join(Z,Y),
inference('PARAMODULATE',[status(thm)],[531,485,theory(equality)]) ).
cnf(630,plain,
meet(meet(X,Y),meet(Y,join(Z,meet(X,Y)))) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[547,402,theory(equality)]) ).
cnf(631,plain,
meet(meet(X,Y),meet(join(Z,meet(X,Y)),Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[547,402,theory(equality)]) ).
cnf(632,plain,
meet(meet(X,Y),meet(X,join(Z,meet(X,Y)))) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[547,483,theory(equality)]) ).
cnf(636,plain,
meet(meet(X,Y),meet(join(meet(X,Y),Z),X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[555,483,theory(equality)]) ).
cnf(639,plain,
join(meet(meet(X,Y),Z),Y) = Y,
inference('PARAMODULATE',[status(thm)],[562,402,theory(equality)]) ).
cnf(640,plain,
join(meet(meet(X,Y),Z),X) = X,
inference('PARAMODULATE',[status(thm)],[562,483,theory(equality)]) ).
cnf(652,plain,
join(meet(X,meet(Y,Z)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[572,483,theory(equality)]) ).
cnf(656,plain,
X = join(X,meet(meet(Y,X),Z)),
inference('PARAMODULATE',[status(thm)],[524,639,theory(equality)]) ).
cnf(667,plain,
X = join(X,meet(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[524,640,theory(equality)]) ).
cnf(685,plain,
X = join(X,meet(Y,meet(X,Z))),
inference('PARAMODULATE',[status(thm)],[524,652,theory(equality)]) ).
cnf(1497,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[548,483,theory(equality)]) ).
cnf(1502,plain,
meet(meet(X,Y),meet(meet(Z,Y),X)) = meet(meet(Z,Y),X),
inference('PARAMODULATE',[status(thm)],[548,656,theory(equality)]) ).
cnf(1503,plain,
meet(meet(X,Y),meet(meet(Y,Z),X)) = meet(meet(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[548,667,theory(equality)]) ).
cnf(1536,plain,
meet(X,Y) = meet(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[532,1497,theory(equality)]),1497,theory(equality)]) ).
cnf(1557,plain,
meet(meet(a,b),c) != meet(a,meet(c,b)),
inference('PARAMODULATE',[status(thm)],[prove_normal_axioms_3,1536,theory(equality)]) ).
cnf(1567,plain,
meet(meet(a,b),c) != meet(meet(c,b),a),
inference('PARAMODULATE',[status(thm)],[1557,1536,theory(equality)]) ).
cnf(5041,plain,
meet(meet(meet(X,Y),Z),meet(Z,Y)) = meet(meet(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[630,656,theory(equality)]) ).
cnf(5074,plain,
meet(meet(meet(X,Y),Z),meet(X,Z)) = meet(meet(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[631,667,theory(equality)]) ).
cnf(15242,plain,
meet(meet(X,meet(Y,Z)),meet(X,Y)) = meet(X,meet(Y,Z)),
inference('PARAMODULATE',[status(thm)],[632,685,theory(equality)]) ).
cnf(31484,plain,
join(meet(meet(X,Y),Z),meet(Z,Y)) = meet(Z,Y),
inference('PARAMODULATE',[status(thm)],[531,1502,theory(equality)]) ).
cnf(31734,plain,
meet(meet(X,Y),meet(Z,Y)) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[636,31484,theory(equality)]),1503,theory(equality)]) ).
cnf(31920,plain,
meet(meet(X,Y),meet(X,Z)) = meet(meet(X,Z),Y),
inference('REWRITE',[status(thm)],[5074,31734,theory(equality)]) ).
cnf(31981,plain,
meet(meet(X,Y),meet(Y,Z)) = meet(X,meet(Y,Z)),
inference('REWRITE',[status(thm)],[15242,31920,theory(equality)]) ).
cnf(32300,plain,
meet(meet(X,Y),Z) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[5041,31734,31981,theory(equality)]) ).
cnf(32301,plain,
$false,
inference('REWRITE',[status(thm)],[1567,32300,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT082-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 15:58:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T15:58:23
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-29T15:58:23
% 116.05/116.24
% 116.05/116.24
% 116.05/116.24 #||
% 116.05/116.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 116.05/116.24 % SZS output start Refutation
% See solution above
% 116.09/116.30 ||#
% 116.09/116.30
% 116.09/116.30 ; Summary of computation:
% 116.09/116.30 ; 248761 formulas have been input or derived (from 504 formulas).
% 116.09/116.30 ; 32301 (13%) were retained. Of these,
% 116.09/116.30 ; 11750 (36%) were simplified or subsumed later,
% 116.09/116.30 ; 20551 (64%) are still being kept.
% 116.09/116.30 ;
% 116.09/116.30 ; Run time in seconds excluding printing time:
% 116.09/116.30 ; 0.001 0% Read assertion file (1 call)
% 116.09/116.30 ; 0.001 0% Assert (2 calls)
% 116.09/116.30 ; 7.200 6% Process new row (209,955 calls)
% 116.09/116.30 ; 0.537 0% Resolution (1,006 calls)
% 116.09/116.30 ; 5.982 5% Paramodulation (503 calls)
% 116.09/116.30 ; 37.929 33% Forward simplification (209,611 calls)
% 116.09/116.30 ; 7.405 6% Backward simplification (32,301 calls)
% 116.09/116.30 ; 55.865 48% Ordering (10,832,299 calls)
% 116.09/116.30 ; 0.000 0% Sortal reasoning (32 calls)
% 116.09/116.30 ; 0.000 0% Purity testing (1 call)
% 116.09/116.30 ; 0.837 1% Other
% 116.09/116.30 ; 115.757 Total
% 116.09/116.30 ; 115.821 Real time
% 116.09/116.31 ;
% 116.09/116.31 ; Term-hash-array has 93,892 terms in all.
% 116.09/116.31 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 116.09/116.31 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 116.09/116.31 ; Path-index has 59,711 entries (80,202 at peak, 95,133 added, 35,422 deleted).
% 116.09/116.31 ; Path-index has 222,651 nodes (268,829 at peak, 334,487 added, 111,836 deleted).
% 116.09/116.31 ; Trie-index has 59,711 entries (80,202 at peak, 95,133 added, 35,422 deleted).
% 116.09/116.31 ; Trie-index has 134,838 nodes (372,307 at peak, 773,943 added, 639,105 deleted).
% 116.09/116.31 ; Retrieved 10,524,176 generalization terms in 1,864,141 calls.
% 116.09/116.31 ; Retrieved 973,259 instance terms in 34,107 calls.
% 116.09/116.31 ; Retrieved 1,764,586 unifiable terms in 3,825 calls.
% 116.09/116.31 ;
% 116.09/116.31 ; The agenda of backward simplifiable rows to process has 248 entries:
% 116.09/116.31 ; 248 with value 0
% 116.09/116.31 ; The agenda of rows to process has 824 entries:
% 116.09/116.31 ; 67 with value 37 26 with value 45 10 with value 52
% 116.09/116.31 ; 154 with value 38 36 with value 46 8 with value 53
% 116.09/116.31 ; 101 with value 39 46 with value 47 22 with value 56
% 116.09/116.31 ; 103 with value 40 27 with value 48 2 with value 59
% 116.09/116.31 ; 37 with value 41 5 with value 49 1 with value 60
% 116.09/116.31 ; 74 with value 42 1 with value 50 4 with value 61
% 116.09/116.31 ; 74 with value 43 7 with value 51 2 with value 64
% 116.09/116.31 ; 17 with value 44
% 116.09/116.31 ; The agenda of rows to give has 20232 entries:
% 116.09/116.31 ; 1 with value (4 26) 1246 with value (4 41) 149 with value (4 54)
% 116.09/116.31 ; 3 with value (4 28) 910 with value (4 42) 193 with value (4 55)
% 116.09/116.31 ; 6 with value (4 30) 1301 with value (4 43) 564 with value (4 56)
% 116.09/116.31 ; 131 with value (4 31) 700 with value (4 44) 326 with value (4 57)
% 116.09/116.31 ; 410 with value (4 32) 1128 with value (4 45) 138 with value (4 58)
% 116.09/116.31 ; 505 with value (4 33) 811 with value (4 46) 120 with value (4 59)
% 116.09/116.31 ; 413 with value (4 34) 620 with value (4 47) 60 with value (4 60)
% 116.09/116.31 ; 604 with value (4 35) 550 with value (4 48) 28 with value (4 61)
% 116.09/116.31 ; 1100 with value (4 36) 386 with value (4 49) 165 with value (4 62)
% 116.09/116.31 ; 1626 with value (4 37) 418 with value (4 50) 67 with value (4 63)
% 116.09/116.31 ; 1428 with value (4 38) 438 with value (4 51) 8 with value (4 64)
% 116.09/116.31 ; 1508 with value (4 39) 337 with value (4 52) 24 with value (4 66)
% 116.09/116.31 ; 1634 with value (4 40) 168 with value (4 53) 8 with value (4 69)
% 116.09/116.31 Evaluation took:
% 116.09/116.31 115.825 seconds of real time
% 116.09/116.31 102.143715 seconds of user run time
% 116.09/116.31 13.679191 seconds of system run time
% 116.09/116.31 [Run times include 21.482 seconds GC run time.]
% 116.09/116.31 0 calls to %EVAL
% 116.09/116.31 0 page faults and
% 116.09/116.31 6,670,742,784 bytes consed.
% 116.09/116.31 :PROOF-FOUND
% 116.09/116.31 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T16:00:19
% 116.09/116.31 :PROOF-FOUND
% 116.09/116.31 *
%------------------------------------------------------------------------------