TSTP Solution File: LAT085-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT085-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 06:42:12 EDT 2022
% Result : Unsatisfiable 10.15s 10.35s
% Output : Refutation 10.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of clauses : 77 ( 77 unt; 0 nHn; 3 RR)
% Number of literals : 77 ( 76 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 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 : 238 ( 41 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms_6,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_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(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(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(481,plain,
meet(join(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[459,386,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(487,plain,
join(X,meet(join(Y,join(X,Z)),join(join(Y,join(X,Z)),X))) = join(Y,join(X,Z)),
inference('PARAMODULATE',[status(thm)],[47,459,theory(equality)]) ).
cnf(489,plain,
join(meet(X,meet(join(Y,join(X,Z)),join(join(Y,join(X,Z)),X))),meet(X,join(Y,join(X,Z)))) = X,
inference('PARAMODULATE',[status(thm)],[66,459,theory(equality)]) ).
cnf(503,plain,
join(X,meet(join(Y,X),join(join(Y,X),X))) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[47,481,theory(equality)]) ).
cnf(504,plain,
join(X,Y) = join(join(meet(Z,join(X,Y)),Y),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[392,481,theory(equality)]) ).
cnf(505,plain,
join(meet(X,meet(join(Y,X),join(join(Y,X),X))),meet(X,join(Y,X))) = X,
inference('PARAMODULATE',[status(thm)],[66,481,theory(equality)]) ).
cnf(513,plain,
join(X,Y) = join(join(meet(Z,join(X,Y)),X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[392,482,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(521,plain,
join(X,Y) = join(join(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[483,481,theory(equality)]) ).
cnf(522,plain,
join(X,join(Y,X)) = join(Y,X),
inference('REWRITE',[status(thm)],[503,401,521,theory(equality)]) ).
cnf(523,plain,
meet(X,join(Y,X)) = X,
inference('REWRITE',[status(thm)],[505,386,401,521,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(527,plain,
join(X,join(Y,join(X,Z))) = join(Y,join(X,Z)),
inference('REWRITE',[status(thm)],[487,526,theory(equality)]) ).
cnf(528,plain,
meet(X,join(Y,join(X,Z))) = X,
inference('REWRITE',[status(thm)],[489,386,526,theory(equality)]) ).
cnf(531,plain,
join(meet(X,Y),X) = X,
inference('REWRITE',[status(thm)],[47,526,theory(equality)]) ).
cnf(540,plain,
meet(join(X,join(Y,Z)),Z) = Z,
inference('PARAMODULATE',[status(thm)],[459,522,theory(equality)]) ).
cnf(542,plain,
meet(meet(X,Y),join(Z,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[528,419,theory(equality)]) ).
cnf(543,plain,
meet(meet(X,Y),join(Z,X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[528,531,theory(equality)]) ).
cnf(544,plain,
meet(X,join(Y,join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[528,522,theory(equality)]) ).
cnf(610,plain,
join(X,join(Y,join(Z,X))) = join(Y,join(Z,X)),
inference('PARAMODULATE',[status(thm)],[531,540,theory(equality)]) ).
cnf(620,plain,
meet(meet(X,Y),join(X,Z)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[543,524,theory(equality)]) ).
cnf(4067,plain,
join(X,Y) = join(join(meet(X,Z),Y),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[504,620,theory(equality)]) ).
cnf(4114,plain,
join(X,Y) = join(join(Y,X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[513,523,theory(equality)]) ).
cnf(4115,plain,
join(X,Y) = join(join(meet(Z,Y),X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[513,542,theory(equality)]) ).
cnf(4117,plain,
join(X,join(Y,Z)) = join(join(Y,X),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[513,528,theory(equality)]) ).
cnf(4118,plain,
join(X,join(Y,Z)) = join(join(Z,X),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[513,544,theory(equality)]) ).
cnf(4178,plain,
join(X,Y) = join(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[524,4114,theory(equality)]),4114,theory(equality)]) ).
cnf(4203,plain,
join(c,join(a,b)) != join(a,join(b,c)),
inference('PARAMODULATE',[status(thm)],[prove_normal_axioms_6,4178,theory(equality)]) ).
cnf(4233,plain,
join(X,Y) = join(join(X,Y),join(meet(Z,Y),X)),
inference('PARAMODULATE',[status(thm)],[524,4115,theory(equality)]) ).
cnf(4417,plain,
join(X,join(Y,Z)) = join(join(X,join(Y,Z)),join(Y,X)),
inference('PARAMODULATE',[status(thm)],[4233,526,theory(equality)]) ).
cnf(11192,plain,
meet(join(X,Y),join(Y,join(X,Z))) = join(X,Y),
inference('PARAMODULATE',[status(thm)],[526,4117,theory(equality)]) ).
cnf(11193,plain,
meet(join(X,join(Y,Z)),join(Y,X)) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[482,4117,theory(equality)]) ).
cnf(11194,plain,
join(X,join(Y,Z)) = join(join(X,Y),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[4117,527,theory(equality)]) ).
cnf(11394,plain,
meet(join(X,join(meet(X,Y),Z)),join(X,Z)) = join(X,join(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[11192,4067,theory(equality)]) ).
cnf(11518,plain,
meet(join(X,join(Y,Z)),join(X,Z)) = join(X,Z),
inference('PARAMODULATE',[status(thm)],[11193,610,theory(equality)]) ).
cnf(11521,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
inference('REWRITE',[status(thm)],[11394,11518,theory(equality)]) ).
cnf(11641,plain,
join(join(X,Y),Z) = join(join(X,Y),join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[11521,481,theory(equality)]) ).
cnf(11697,plain,
join(X,join(Y,Z)) = join(join(Z,X),join(Y,Z)),
inference('REWRITE',[status(thm)],[4118,11641,theory(equality)]) ).
cnf(11889,plain,
join(X,join(Y,Z)) = join(join(Y,Z),join(Y,X)),
inference('REWRITE',[status(thm)],[4417,11697,theory(equality)]) ).
cnf(11901,plain,
join(X,join(Y,Z)) = join(Z,join(X,Y)),
inference('REWRITE',[status(thm)],[11194,11697,11889,theory(equality)]) ).
cnf(11902,plain,
$false,
inference('REWRITE',[status(thm)],[4203,11901,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT085-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 21:51:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T21:51:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-28T21:51:53
% 10.15/10.35
% 10.15/10.35
% 10.15/10.35 #||
% 10.15/10.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.15/10.35 % SZS output start Refutation
% See solution above
% 10.21/10.38 ||#
% 10.21/10.38
% 10.21/10.38 ; Summary of computation:
% 10.21/10.38 ; 79617 formulas have been input or derived (from 303 formulas).
% 10.21/10.38 ; 11902 (15%) were retained. Of these,
% 10.21/10.38 ; 2736 (23%) were simplified or subsumed later,
% 10.21/10.38 ; 9166 (77%) are still being kept.
% 10.21/10.38 ;
% 10.21/10.38 ; Run time in seconds excluding printing time:
% 10.21/10.38 ; 0.002 0% Read assertion file (1 call)
% 10.21/10.38 ; 0.000 0% Assert (2 calls)
% 10.21/10.38 ; 2.812 28% Process new row (65,163 calls)
% 10.21/10.38 ; 0.114 1% Resolution (604 calls)
% 10.21/10.38 ; 1.185 12% Paramodulation (302 calls)
% 10.21/10.38 ; 3.514 36% Forward simplification (64,902 calls)
% 10.21/10.38 ; 1.550 16% Backward simplification (11,902 calls)
% 10.21/10.38 ; 0.475 5% Ordering (106,627 calls)
% 10.21/10.38 ; 0.000 0% Sortal reasoning (32 calls)
% 10.21/10.38 ; 0.000 0% Purity testing (1 call)
% 10.21/10.38 ; 0.233 2% Other
% 10.21/10.38 ; 9.885 Total
% 10.21/10.38 ; 9.924 Real time
% 10.21/10.38 ;
% 10.21/10.38 ; Term-hash-array has 36,051 terms in all.
% 10.21/10.38 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 10.21/10.38 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 10.21/10.38 ; Path-index has 26,418 entries (31,149 at peak, 36,367 added, 9,949 deleted).
% 10.21/10.38 ; Path-index has 209,809 nodes (268,835 at peak, 318,583 added, 108,774 deleted).
% 10.21/10.38 ; Trie-index has 26,418 entries (31,149 at peak, 36,367 added, 9,949 deleted).
% 10.21/10.38 ; Trie-index has 76,736 nodes (372,306 at peak, 645,438 added, 568,702 deleted).
% 10.21/10.38 ; Retrieved 1,724,235 generalization terms in 548,996 calls.
% 10.21/10.38 ; Retrieved 163,391 instance terms in 11,911 calls.
% 10.21/10.38 ; Retrieved 382,159 unifiable terms in 2,303 calls.
% 10.21/10.38 ;
% 10.21/10.38 ; The agenda of backward simplifiable rows to process has 206 entries:
% 10.21/10.38 ; 206 with value 0
% 10.21/10.38 ; The agenda of rows to process has 361 entries:
% 10.21/10.38 ; 1 with value 30 22 with value 38 13 with value 45
% 10.21/10.38 ; 51 with value 31 4 with value 39 19 with value 46
% 10.21/10.38 ; 26 with value 32 30 with value 40 6 with value 47
% 10.21/10.38 ; 39 with value 33 4 with value 41 6 with value 48
% 10.21/10.38 ; 23 with value 34 4 with value 42 3 with value 49
% 10.21/10.38 ; 17 with value 35 10 with value 43 2 with value 50
% 10.21/10.38 ; 18 with value 36 9 with value 44 13 with value 52
% 10.21/10.38 ; 41 with value 37
% 10.21/10.38 ; The agenda of rows to give has 8949 entries:
% 10.21/10.38 ; 1 with value (4 25) 607 with value (4 39) 38 with value (4 53)
% 10.21/10.38 ; 2 with value (4 26) 292 with value (4 40) 159 with value (4 54)
% 10.21/10.38 ; 2 with value (4 27) 381 with value (4 41) 164 with value (4 55)
% 10.21/10.38 ; 3 with value (4 28) 447 with value (4 42) 139 with value (4 56)
% 10.21/10.38 ; 19 with value (4 29) 470 with value (4 43) 48 with value (4 57)
% 10.21/10.38 ; 108 with value (4 30) 321 with value (4 44) 124 with value (4 58)
% 10.21/10.38 ; 137 with value (4 31) 328 with value (4 45) 1 with value (4 59)
% 10.21/10.38 ; 202 with value (4 32) 318 with value (4 46) 54 with value (4 60)
% 10.21/10.38 ; 452 with value (4 33) 249 with value (4 47) 30 with value (4 61)
% 10.21/10.38 ; 367 with value (4 34) 234 with value (4 48) 2 with value (4 62)
% 10.21/10.38 ; 441 with value (4 35) 210 with value (4 49) 4 with value (4 63)
% 10.21/10.38 ; 491 with value (4 36) 324 with value (4 50) 34 with value (4 64)
% 10.21/10.38 ; 827 with value (4 37) 253 with value (4 51) 62 with value (4 65)
% 10.21/10.38 ; 442 with value (4 38) 151 with value (4 52) 11 with value (4 71)
% 10.21/10.38 Evaluation took:
% 10.21/10.38 9.926 seconds of real time
% 10.21/10.38 9.21798 seconds of user run time
% 10.21/10.38 0.705551 seconds of system run time
% 10.21/10.38 [Run times include 2.016 seconds GC run time.]
% 10.21/10.38 0 calls to %EVAL
% 10.21/10.38 0 page faults and
% 10.21/10.38 714,242,352 bytes consed.
% 10.21/10.38 :PROOF-FOUND
% 10.21/10.38 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T21:52:03
% 10.21/10.38 :PROOF-FOUND
% 10.21/10.38 *
%------------------------------------------------------------------------------