TSTP Solution File: LAT081-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT081-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 3.42s 3.62s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 2 RR)
% Number of literals : 44 ( 43 equ; 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 148 ( 23 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_2,negated_conjecture,
meet(a,b) != meet(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
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(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(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(532,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('REWRITE',[status(thm)],[66,386,526,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(1497,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[548,483,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(1537,plain,
$false,
inference('REWRITE',[status(thm)],[prove_normal_axioms_2,1536,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT081-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Wed Jun 29 23:07:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T23:07:07
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-29T23:07:07
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 #||
% 3.42/3.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/3.62 % SZS output start Refutation
% See solution above
% 3.42/3.65 ||#
% 3.42/3.65
% 3.42/3.65 ; Summary of computation:
% 3.42/3.65 ; 9424 formulas have been input or derived (from 131 formulas).
% 3.42/3.65 ; 1537 (16%) were retained. Of these,
% 3.42/3.65 ; 492 (32%) were simplified or subsumed later,
% 3.42/3.65 ; 1045 (68%) are still being kept.
% 3.42/3.65 ;
% 3.42/3.65 ; Run time in seconds excluding printing time:
% 3.42/3.65 ; 0.001 0% Read assertion file (1 call)
% 3.42/3.65 ; 0.000 0% Assert (2 calls)
% 3.42/3.65 ; 1.453 46% Process new row (7,615 calls)
% 3.42/3.65 ; 0.007 0% Resolution (260 calls)
% 3.42/3.65 ; 0.185 6% Paramodulation (130 calls)
% 3.42/3.65 ; 0.417 13% Forward simplification (7,366 calls)
% 3.42/3.65 ; 0.930 29% Backward simplification (1,537 calls)
% 3.42/3.65 ; 0.128 4% Ordering (12,957 calls)
% 3.42/3.65 ; 0.002 0% Sortal reasoning (32 calls)
% 3.42/3.65 ; 0.000 0% Purity testing (1 call)
% 3.42/3.65 ; 0.042 1% Other
% 3.42/3.65 ; 3.165 Total
% 3.42/3.65 ; 3.192 Real time
% 3.42/3.65 ;
% 3.42/3.65 ; Term-hash-array has 7,016 terms in all.
% 3.42/3.65 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.42/3.65 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.42/3.65 ; Path-index has 2,943 entries (2,948 at peak, 7,278 added, 4,335 deleted).
% 3.42/3.65 ; Path-index has 198,816 nodes (268,822 at peak, 306,659 added, 107,843 deleted).
% 3.42/3.65 ; Trie-index has 2,943 entries (2,948 at peak, 7,278 added, 4,335 deleted).
% 3.42/3.65 ; Trie-index has 6,970 nodes (372,296 at peak, 556,804 added, 549,834 deleted).
% 3.42/3.65 ; Retrieved 130,110 generalization terms in 87,175 calls.
% 3.42/3.65 ; Retrieved 10,727 instance terms in 1,536 calls.
% 3.42/3.65 ; Retrieved 24,511 unifiable terms in 1,017 calls.
% 3.42/3.65 ;
% 3.42/3.65 ; The agenda of rows to process has 164 entries:
% 3.42/3.65 ; 5 with value 25 5 with value 32 12 with value 37
% 3.42/3.65 ; 4 with value 27 17 with value 33 6 with value 38
% 3.42/3.65 ; 20 with value 28 17 with value 34 6 with value 39
% 3.42/3.65 ; 12 with value 29 12 with value 35 5 with value 42
% 3.42/3.65 ; 27 with value 30 1 with value 36 1 with value 44
% 3.42/3.65 ; 14 with value 31
% 3.42/3.65 ; The agenda of rows to give has 953 entries:
% 3.42/3.65 ; 1 with value (4 20) 49 with value (4 36) 52 with value (4 45)
% 3.42/3.65 ; 52 with value (4 28) 20 with value (4 37) 16 with value (4 46)
% 3.42/3.65 ; 63 with value (4 29) 44 with value (4 38) 1 with value (4 47)
% 3.42/3.65 ; 92 with value (4 30) 69 with value (4 39) 29 with value (4 48)
% 3.42/3.65 ; 63 with value (4 31) 35 with value (4 40) 2 with value (4 49)
% 3.42/3.65 ; 57 with value (4 32) 16 with value (4 41) 6 with value (4 50)
% 3.42/3.65 ; 70 with value (4 33) 36 with value (4 42) 7 with value (4 51)
% 3.42/3.65 ; 97 with value (4 34) 10 with value (4 43) 16 with value (4 52)
% 3.42/3.65 ; 39 with value (4 35) 11 with value (4 44)
% 3.42/3.65 Evaluation took:
% 3.42/3.65 3.192 seconds of real time
% 3.42/3.65 2.956686 seconds of user run time
% 3.42/3.65 0.231974 seconds of system run time
% 3.42/3.65 [Run times include 0.841 seconds GC run time.]
% 3.42/3.65 0 calls to %EVAL
% 3.42/3.65 0 page faults and
% 3.42/3.65 227,782,920 bytes consed.
% 3.42/3.65 :PROOF-FOUND
% 3.42/3.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T23:07:11
% 3.42/3.65 :PROOF-FOUND
% 3.42/3.65 *
%------------------------------------------------------------------------------