TSTP Solution File: LAT015-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT015-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 06:41:51 EDT 2022
% Result : Unsatisfiable 106.82s 107.00s
% Output : Refutation 106.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of clauses : 122 ( 114 unt; 0 nHn; 10 RR)
% Number of literals : 151 ( 150 equ; 38 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 19 ( 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 : 349 ( 74 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,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
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(388,plain,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
inference('REWRITE',[status(thm)],[prove_normal_axioms,386,theory(equality)]) ).
cnf(393,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(402,plain,
X = meet(X,X),
inference('PARAMODULATE',[status(thm)],[386,387,theory(equality)]) ).
cnf(403,plain,
X = join(X,meet(Y,X)),
inference('REWRITE',[status(thm)],[387,402,theory(equality)]) ).
cnf(409,plain,
( meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
inference('REWRITE',[status(thm)],[388,402,theory(equality)]) ).
cnf(421,plain,
X = join(meet(Y,X),X),
inference('PARAMODULATE',[status(thm)],[393,403,theory(equality)]) ).
cnf(422,plain,
X = join(join(X,meet(X,Y)),X),
inference('PARAMODULATE',[status(thm)],[393,402,theory(equality)]) ).
cnf(424,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,421,theory(equality)]),386,theory(equality)]) ).
cnf(452,plain,
meet(join(X,meet(X,Y)),X) = join(X,meet(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,422,theory(equality)]),386,theory(equality)]) ).
cnf(459,plain,
meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]) ).
cnf(460,plain,
meet(meet(join(X,Y),join(Z,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]) ).
cnf(461,plain,
meet(join(X,join(Y,Z)),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]),424,theory(equality)]) ).
cnf(483,plain,
meet(join(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[461,386,theory(equality)]) ).
cnf(484,plain,
meet(join(X,Y),X) = X,
inference('PARAMODULATE',[status(thm)],[461,386,theory(equality)]) ).
cnf(485,plain,
X = join(X,meet(X,Y)),
inference('REWRITE',[status(thm)],[452,484,theory(equality)]) ).
cnf(486,plain,
( meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a ),
inference('REWRITE',[status(thm)],[409,485,theory(equality)]) ).
cnf(487,plain,
meet(join(X,Y),meet(Y,Z)) = meet(Y,Z),
inference('PARAMODULATE',[status(thm)],[461,47,theory(equality)]) ).
cnf(488,plain,
meet(join(X,Y),meet(Z,Y)) = meet(Z,Y),
inference('PARAMODULATE',[status(thm)],[461,110,theory(equality)]) ).
cnf(490,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)],[47,461,theory(equality)]) ).
cnf(492,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)],[66,461,theory(equality)]) ).
cnf(506,plain,
join(X,meet(join(Y,X),join(join(Y,X),X))) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[47,483,theory(equality)]) ).
cnf(507,plain,
join(X,Y) = join(join(meet(Z,join(X,Y)),Y),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[393,483,theory(equality)]) ).
cnf(508,plain,
join(meet(X,meet(join(Y,X),join(join(Y,X),X))),meet(X,join(Y,X))) = X,
inference('PARAMODULATE',[status(thm)],[66,483,theory(equality)]) ).
cnf(516,plain,
join(X,Y) = join(join(meet(Z,join(X,Y)),X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[393,484,theory(equality)]) ).
cnf(518,plain,
join(meet(X,meet(join(X,Y),join(join(X,Y),X))),meet(X,join(X,Y))) = X,
inference('PARAMODULATE',[status(thm)],[66,484,theory(equality)]) ).
cnf(524,plain,
join(X,Y) = join(join(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[485,483,theory(equality)]) ).
cnf(525,plain,
join(X,join(Y,X)) = join(Y,X),
inference('REWRITE',[status(thm)],[506,402,524,theory(equality)]) ).
cnf(526,plain,
meet(X,join(Y,X)) = X,
inference('REWRITE',[status(thm)],[508,386,402,524,theory(equality)]) ).
cnf(527,plain,
join(X,Y) = join(join(X,Y),X),
inference('PARAMODULATE',[status(thm)],[485,484,theory(equality)]) ).
cnf(529,plain,
meet(X,join(X,Y)) = X,
inference('REWRITE',[status(thm)],[518,386,402,527,theory(equality)]) ).
cnf(530,plain,
join(X,join(Y,join(X,Z))) = join(Y,join(X,Z)),
inference('REWRITE',[status(thm)],[490,529,theory(equality)]) ).
cnf(531,plain,
meet(X,join(Y,join(X,Z))) = X,
inference('REWRITE',[status(thm)],[492,386,529,theory(equality)]) ).
cnf(534,plain,
join(meet(X,Y),X) = X,
inference('REWRITE',[status(thm)],[47,529,theory(equality)]) ).
cnf(535,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('REWRITE',[status(thm)],[66,386,529,theory(equality)]) ).
cnf(536,plain,
( meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c)) ),
inference('REWRITE',[status(thm)],[486,529,theory(equality)]) ).
cnf(544,plain,
meet(join(X,join(Y,Z)),Z) = Z,
inference('PARAMODULATE',[status(thm)],[461,525,theory(equality)]) ).
cnf(546,plain,
meet(meet(X,Y),join(Z,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[531,421,theory(equality)]) ).
cnf(547,plain,
meet(meet(X,Y),join(Z,X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[531,534,theory(equality)]) ).
cnf(548,plain,
meet(X,join(Y,join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[531,525,theory(equality)]) ).
cnf(551,plain,
meet(X,meet(join(Y,X),join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[535,459,theory(equality)]) ).
cnf(552,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference('PARAMODULATE',[status(thm)],[459,403,theory(equality)]) ).
cnf(559,plain,
meet(X,meet(join(X,Y),join(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[535,460,theory(equality)]) ).
cnf(560,plain,
meet(meet(join(meet(X,Y),Z),Y),meet(X,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[460,403,theory(equality)]) ).
cnf(566,plain,
join(meet(X,Y),join(Z,X)) = join(Z,X),
inference('PARAMODULATE',[status(thm)],[534,487,theory(equality)]) ).
cnf(576,plain,
join(meet(X,Y),join(Z,Y)) = join(Z,Y),
inference('PARAMODULATE',[status(thm)],[534,488,theory(equality)]) ).
cnf(614,plain,
join(X,join(Y,join(Z,X))) = join(Y,join(Z,X)),
inference('PARAMODULATE',[status(thm)],[534,544,theory(equality)]) ).
cnf(624,plain,
meet(meet(X,Y),join(X,Z)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[547,527,theory(equality)]) ).
cnf(634,plain,
meet(meet(X,Y),meet(Y,join(Z,meet(X,Y)))) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[551,403,theory(equality)]) ).
cnf(635,plain,
meet(meet(X,Y),meet(join(Z,meet(X,Y)),Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[551,403,theory(equality)]) ).
cnf(636,plain,
meet(meet(X,Y),meet(X,join(Z,meet(X,Y)))) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[551,485,theory(equality)]) ).
cnf(639,plain,
meet(meet(X,Y),meet(join(meet(X,Y),Z),Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[559,403,theory(equality)]) ).
cnf(640,plain,
meet(meet(X,Y),meet(join(meet(X,Y),Z),X)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[559,485,theory(equality)]) ).
cnf(643,plain,
join(meet(meet(X,Y),Z),Y) = Y,
inference('PARAMODULATE',[status(thm)],[566,403,theory(equality)]) ).
cnf(644,plain,
join(meet(meet(X,Y),Z),X) = X,
inference('PARAMODULATE',[status(thm)],[566,485,theory(equality)]) ).
cnf(656,plain,
join(meet(X,meet(Y,Z)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[576,485,theory(equality)]) ).
cnf(660,plain,
X = join(X,meet(meet(Y,X),Z)),
inference('PARAMODULATE',[status(thm)],[527,643,theory(equality)]) ).
cnf(671,plain,
X = join(X,meet(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[527,644,theory(equality)]) ).
cnf(689,plain,
X = join(X,meet(Y,meet(X,Z))),
inference('PARAMODULATE',[status(thm)],[527,656,theory(equality)]) ).
cnf(1501,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[552,485,theory(equality)]) ).
cnf(1506,plain,
meet(meet(X,Y),meet(meet(Z,Y),X)) = meet(meet(Z,Y),X),
inference('PARAMODULATE',[status(thm)],[552,660,theory(equality)]) ).
cnf(1507,plain,
meet(meet(X,Y),meet(meet(Y,Z),X)) = meet(meet(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[552,671,theory(equality)]) ).
cnf(1540,plain,
meet(X,Y) = meet(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[535,1501,theory(equality)]),1501,theory(equality)]) ).
cnf(1541,plain,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c)) ),
inference('REWRITE',[status(thm)],[536,1540,theory(equality)]) ).
cnf(1543,plain,
join(meet(meet(X,Y),Z),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[644,1501,theory(equality)]) ).
cnf(3612,plain,
meet(meet(meet(X,Y),Z),meet(meet(Y,X),Z)) = meet(meet(Y,X),Z),
inference('PARAMODULATE',[status(thm)],[560,1543,theory(equality)]) ).
cnf(4076,plain,
join(X,Y) = join(join(meet(X,Z),Y),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[507,624,theory(equality)]) ).
cnf(4123,plain,
join(X,Y) = join(join(Y,X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[516,526,theory(equality)]) ).
cnf(4124,plain,
join(X,Y) = join(join(meet(Z,Y),X),join(X,Y)),
inference('PARAMODULATE',[status(thm)],[516,546,theory(equality)]) ).
cnf(4126,plain,
join(X,join(Y,Z)) = join(join(Y,X),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[516,531,theory(equality)]) ).
cnf(4127,plain,
join(X,join(Y,Z)) = join(join(Z,X),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[516,548,theory(equality)]) ).
cnf(4187,plain,
join(X,Y) = join(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[527,4123,theory(equality)]),4123,theory(equality)]) ).
cnf(4188,plain,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c)) ),
inference('REWRITE',[status(thm)],[1541,4187,theory(equality)]) ).
cnf(4241,plain,
join(X,Y) = join(join(X,Y),join(meet(Z,Y),X)),
inference('PARAMODULATE',[status(thm)],[527,4124,theory(equality)]) ).
cnf(4421,plain,
join(X,join(Y,Z)) = join(join(X,join(Y,Z)),join(Y,X)),
inference('PARAMODULATE',[status(thm)],[4241,529,theory(equality)]) ).
cnf(5044,plain,
meet(meet(meet(X,Y),Z),meet(Z,Y)) = meet(meet(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[634,660,theory(equality)]) ).
cnf(5077,plain,
meet(meet(meet(X,Y),Z),meet(X,Z)) = meet(meet(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[635,671,theory(equality)]) ).
cnf(5122,plain,
meet(meet(X,Y),Z) = meet(meet(Y,X),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[639,1543,theory(equality)]),3612,theory(equality)]) ).
cnf(5153,plain,
meet(meet(X,Y),Z) = meet(Z,meet(Y,X)),
inference('PARAMODULATE',[status(thm)],[1540,5122,theory(equality)]) ).
cnf(5293,plain,
( meet(meet(a,b),c) != meet(meet(c,b),a)
| join(join(a,b),c) != join(a,join(b,c)) ),
inference('PARAMODULATE',[status(thm)],[4188,5153,theory(equality)]) ).
cnf(11197,plain,
meet(join(X,Y),join(Y,join(X,Z))) = join(X,Y),
inference('PARAMODULATE',[status(thm)],[529,4126,theory(equality)]) ).
cnf(11198,plain,
meet(join(X,join(Y,Z)),join(Y,X)) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[484,4126,theory(equality)]) ).
cnf(11199,plain,
join(X,join(Y,Z)) = join(join(X,Y),join(X,join(Y,Z))),
inference('PARAMODULATE',[status(thm)],[4126,530,theory(equality)]) ).
cnf(11399,plain,
meet(join(X,join(meet(X,Y),Z)),join(X,Z)) = join(X,join(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[11197,4076,theory(equality)]) ).
cnf(11523,plain,
meet(join(X,join(Y,Z)),join(X,Z)) = join(X,Z),
inference('PARAMODULATE',[status(thm)],[11198,614,theory(equality)]) ).
cnf(11526,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
inference('REWRITE',[status(thm)],[11399,11523,theory(equality)]) ).
cnf(11646,plain,
join(join(X,Y),Z) = join(join(X,Y),join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[11526,483,theory(equality)]) ).
cnf(11702,plain,
join(X,join(Y,Z)) = join(join(Z,X),join(Y,Z)),
inference('REWRITE',[status(thm)],[4127,11646,theory(equality)]) ).
cnf(11894,plain,
join(X,join(Y,Z)) = join(join(Y,Z),join(Y,X)),
inference('REWRITE',[status(thm)],[4421,11702,theory(equality)]) ).
cnf(11906,plain,
join(X,join(Y,Z)) = join(Z,join(X,Y)),
inference('REWRITE',[status(thm)],[11199,11702,11894,theory(equality)]) ).
cnf(11952,plain,
meet(meet(a,b),c) != meet(meet(c,b),a),
inference('REWRITE',[status(thm)],[5293,4187,11906,theory(equality)]) ).
cnf(15263,plain,
meet(meet(X,meet(Y,Z)),meet(X,Y)) = meet(X,meet(Y,Z)),
inference('PARAMODULATE',[status(thm)],[636,689,theory(equality)]) ).
cnf(31505,plain,
join(meet(meet(X,Y),Z),meet(Z,Y)) = meet(Z,Y),
inference('PARAMODULATE',[status(thm)],[534,1506,theory(equality)]) ).
cnf(31755,plain,
meet(meet(X,Y),meet(Z,Y)) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[640,31505,theory(equality)]),1507,theory(equality)]) ).
cnf(31941,plain,
meet(meet(X,Y),meet(X,Z)) = meet(meet(X,Z),Y),
inference('REWRITE',[status(thm)],[5077,31755,theory(equality)]) ).
cnf(32002,plain,
meet(meet(X,Y),meet(Y,Z)) = meet(X,meet(Y,Z)),
inference('REWRITE',[status(thm)],[15263,31941,theory(equality)]) ).
cnf(32321,plain,
meet(meet(X,Y),Z) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[5044,31755,32002,theory(equality)]) ).
cnf(32322,plain,
$false,
inference('REWRITE',[status(thm)],[11952,32321,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT015-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 : Wed Jun 29 11:44:05 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 *
% 0.19/0.46 ((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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T11:44:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-29T11:44:05
% 106.82/107.00
% 106.82/107.00
% 106.82/107.00 #||
% 106.82/107.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.82/107.00 % SZS output start Refutation
% See solution above
% 106.84/107.06 ||#
% 106.84/107.06
% 106.84/107.06 ; Summary of computation:
% 106.84/107.06 ; 248811 formulas have been input or derived (from 511 formulas).
% 106.84/107.06 ; 32322 (13%) were retained. Of these,
% 106.84/107.06 ; 11771 (36%) were simplified or subsumed later,
% 106.84/107.06 ; 20551 (64%) are still being kept.
% 106.84/107.06 ;
% 106.84/107.06 ; Run time in seconds excluding printing time:
% 106.84/107.06 ; 0.002 0% Read assertion file (1 call)
% 106.84/107.06 ; 0.000 0% Assert (2 calls)
% 106.84/107.06 ; 6.072 6% Process new row (209,987 calls)
% 106.84/107.06 ; 0.494 0% Resolution (1,020 calls)
% 106.84/107.06 ; 5.232 5% Paramodulation (510 calls)
% 106.84/107.06 ; 0.000 0% Condensing (37 calls)
% 106.84/107.06 ; 0.001 0% Forward subsumption (37 calls)
% 106.84/107.06 ; 0.002 0% Backward subsumption (21 calls)
% 106.84/107.06 ; 0.001 0% Clause clause subsumption (190 calls)
% 106.84/107.06 ; 35.536 33% Forward simplification (209,643 calls)
% 106.84/107.06 ; 6.415 6% Backward simplification (32,322 calls)
% 106.84/107.06 ; 52.073 49% Ordering (10,832,487 calls)
% 106.84/107.06 ; 0.000 0% Sortal reasoning (32 calls)
% 106.84/107.06 ; 0.001 0% Purity testing (1 call)
% 106.84/107.06 ; 0.695 1% Other
% 106.84/107.06 ; 106.524 Total
% 106.84/107.06 ; 106.595 Real time
% 106.84/107.06 ;
% 106.84/107.06 ; Term-hash-array has 93,917 terms in all.
% 106.84/107.06 ; Feature-vector-row-index has 0 entries (11 at peak, 21 added, 21 deleted).
% 106.84/107.06 ; Feature-vector-row-index has 1 node (18 at peak, 120 added, 119 deleted).
% 106.84/107.06 ; Retrieved 181 possibly forward subsuming rows in 37 calls.
% 106.84/107.06 ; Retrieved 65 possibly backward subsumed rows in 21 calls.
% 106.84/107.06 ; Path-index has 59,711 entries (80,202 at peak, 95,292 added, 35,581 deleted).
% 106.84/107.06 ; Path-index has 222,651 nodes (268,866 at peak, 334,815 added, 112,164 deleted).
% 106.84/107.06 ; Trie-index has 59,711 entries (80,202 at peak, 95,292 added, 35,581 deleted).
% 106.84/107.06 ; Trie-index has 134,838 nodes (372,358 at peak, 774,446 added, 639,608 deleted).
% 106.84/107.06 ; Retrieved 10,524,883 generalization terms in 1,857,510 calls.
% 106.84/107.06 ; Retrieved 973,256 instance terms in 34,107 calls.
% 106.84/107.06 ; Retrieved 1,864,679 unifiable terms in 3,944 calls.
% 106.84/107.06 ;
% 106.84/107.06 ; The agenda of backward simplifiable rows to process has 248 entries:
% 106.84/107.06 ; 248 with value 0
% 106.84/107.06 ; The agenda of rows to process has 824 entries:
% 106.84/107.06 ; 67 with value 37 26 with value 45 10 with value 52
% 106.84/107.06 ; 154 with value 38 36 with value 46 8 with value 53
% 106.84/107.06 ; 101 with value 39 46 with value 47 22 with value 56
% 106.84/107.06 ; 103 with value 40 27 with value 48 2 with value 59
% 106.84/107.06 ; 37 with value 41 5 with value 49 1 with value 60
% 106.84/107.06 ; 74 with value 42 1 with value 50 4 with value 61
% 106.84/107.06 ; 74 with value 43 7 with value 51 2 with value 64
% 106.84/107.06 ; 17 with value 44
% 106.84/107.06 ; The agenda of rows to give has 20232 entries:
% 106.84/107.06 ; 1 with value (4 26) 1246 with value (4 41) 149 with value (4 54)
% 106.84/107.06 ; 3 with value (4 28) 910 with value (4 42) 193 with value (4 55)
% 106.84/107.06 ; 6 with value (4 30) 1301 with value (4 43) 564 with value (4 56)
% 106.84/107.06 ; 131 with value (4 31) 700 with value (4 44) 326 with value (4 57)
% 106.84/107.06 ; 410 with value (4 32) 1128 with value (4 45) 138 with value (4 58)
% 106.84/107.06 ; 505 with value (4 33) 811 with value (4 46) 120 with value (4 59)
% 106.84/107.06 ; 413 with value (4 34) 620 with value (4 47) 60 with value (4 60)
% 106.84/107.06 ; 604 with value (4 35) 550 with value (4 48) 28 with value (4 61)
% 106.84/107.06 ; 1100 with value (4 36) 386 with value (4 49) 165 with value (4 62)
% 106.84/107.06 ; 1626 with value (4 37) 418 with value (4 50) 67 with value (4 63)
% 106.84/107.06 ; 1428 with value (4 38) 438 with value (4 51) 8 with value (4 64)
% 106.84/107.06 ; 1508 with value (4 39) 337 with value (4 52) 24 with value (4 66)
% 106.84/107.06 ; 1634 with value (4 40) 168 with value (4 53) 8 with value (4 69)
% 106.84/107.06 Evaluation took:
% 106.84/107.06 106.598 seconds of real time
% 106.84/107.06 94.0065 seconds of user run time
% 106.84/107.06 12.574869 seconds of system run time
% 106.84/107.06 [Run times include 19.775 seconds GC run time.]
% 106.84/107.06 0 calls to %EVAL
% 106.84/107.06 0 page faults and
% 106.84/107.06 6,672,831,488 bytes consed.
% 106.84/107.06 :PROOF-FOUND
% 106.84/107.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T11:45:52
% 106.84/107.06 :PROOF-FOUND
% 106.84/107.06 *
%------------------------------------------------------------------------------