TSTP Solution File: LAT082-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT082-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 : 300s
% DateTime : Tue Jul 26 07:05:30 EDT 2022
% Result : Unsatisfiable 79.12s 79.36s
% Output : CNFRefutation 79.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of clauses : 129 ( 129 unt; 0 nHn; 13 RR)
% Number of literals : 129 ( 128 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 345 ( 43 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
file('/tmp/MaedMax_6865') ).
cnf(eq_1,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/tmp/MaedMax_6865') ).
cnf(eq_2,plain,
join(meet(join(meet(x100,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),join(x100,join(meet(B,A),meet(A,join(B,A)))))),x102),meet(join(meet(x100,join(join(meet(x103,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),x104)),join(meet(B,A),meet(A,join(B,A))))),meet(A,join(x100,join(join(meet(x103,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),x104)),join(meet(B,A),meet(A,join(B,A))))))),join(join(meet(x100,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),join(x100,join(meet(B,A),meet(A,join(B,A)))))),x102))) = join(meet(B,A),meet(A,join(B,A))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
join(meet(A,B),meet(B,join(A,B))) = join(meet(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),D),meet(join(meet(C,join(join(meet(E,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),F)),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(E,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),F)),join(meet(A,B),meet(B,join(A,B))))))),join(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),D))),
eq_2 ).
cnf(eq_4,plain,
join(meet(join(meet(x100,join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),join(x100,join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))))),x103),meet(join(meet(x100,join(join(meet(x104,join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),x105)),join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(x100,join(join(meet(x104,join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),x105)),join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))))))),join(join(meet(x100,join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),join(x100,A))),x103))) = join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(F,join(join(meet(G,A),meet(A,x7)),A)),meet(join(meet(A,meet(meet(join(G,join(A,x7)),join(x8,A)),A)),meet(x9,join(A,meet(meet(join(G,join(A,x7)),join(x8,A)),A)))),join(F,join(join(meet(G,A),meet(A,x7)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_6,plain,
join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x102),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x102))) = A,
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_7,plain,
A = join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),C),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),C))),
eq_6 ).
cnf(eq_8,plain,
join(meet(A,x102),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x103,A),meet(A,x104)),A)),meet(join(meet(A,meet(meet(join(x103,join(A,x104)),join(x105,A)),A)),meet(x106,join(A,meet(meet(join(x103,join(A,x104)),join(x105,A)),A)))),join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x103,A),meet(A,x104)),A)))),join(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),x102))) = A,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_9,plain,
join(meet(A,x102),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x103,A),meet(A,x104)),A)),meet(join(meet(x105,join(join(meet(x106,A),meet(A,x107)),A)),meet(join(meet(A,meet(meet(join(x106,join(A,x107)),join(x108,A)),A)),meet(x109,join(A,meet(meet(join(x106,join(A,x107)),join(x108,A)),A)))),join(x105,join(join(meet(x106,A),meet(A,x107)),A)))),join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x103,A),meet(A,x104)),A)))),join(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),x102))) = A,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_10,plain,
join(meet(join(meet(x100,x101),meet(x101,join(x100,x101))),x102),meet(join(meet(x100,join(join(meet(x103,x101),meet(x101,x104)),x101)),meet(join(meet(x101,meet(meet(join(x106,join(x101,x107)),join(x108,x101)),x101)),meet(x109,join(x101,meet(meet(join(x106,join(x101,x107)),join(x108,x101)),x101)))),join(x100,join(join(meet(x103,x101),meet(x101,x104)),x101)))),join(join(meet(x100,x101),meet(x101,join(x100,x101))),x102))) = x101,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_11,plain,
join(meet(join(meet(x100,A),meet(A,join(x100,A))),x102),meet(join(meet(x100,join(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),A)),meet(join(meet(x105,join(join(meet(x106,A),meet(A,x107)),A)),meet(join(meet(A,meet(meet(join(x106,join(A,x107)),join(x108,A)),A)),meet(x109,join(A,meet(meet(join(x106,join(A,x107)),join(x108,A)),A)))),join(x105,join(join(meet(x106,A),meet(A,x107)),A)))),join(x100,join(A,A)))),join(join(meet(x100,A),meet(A,join(x100,A))),x102))) = A,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_12,plain,
join(meet(join(meet(x100,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(x100,join(meet(x101,x102),meet(x102,join(x101,x102)))))),x103),meet(join(meet(x100,join(join(meet(join(meet(join(meet(B,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(B,join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(join(meet(B,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(B,join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(join(meet(join(meet(B,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(B,join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(join(meet(B,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(B,join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102)))))),join(meet(x101,x102),meet(x102,join(x101,x102))))),meet(x102,join(x100,join(join(meet(x101,x102),meet(x102,join(x101,x102))),join(meet(x101,x102),meet(x102,join(x101,x102))))))),join(join(meet(x100,join(meet(x101,x102),meet(x102,join(x101,x102)))),meet(join(meet(x101,x102),meet(x102,join(x101,x102))),join(x100,join(meet(x101,x102),meet(x102,join(x101,x102)))))),x103))) = join(meet(x101,x102),meet(x102,join(x101,x102))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_13,plain,
join(meet(join(meet(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))))),x103),meet(join(meet(x100,join(join(meet(x104,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),x105)),join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))))),meet(A,join(x100,join(join(meet(x104,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),x105)),join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))))))),join(join(meet(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(x100,A))),x103))) = join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,plain,
join(meet(C,x102),meet(C,join(join(meet(join(meet(join(meet(B,C),meet(C,join(B,C))),C),meet(C,join(join(meet(B,C),meet(C,join(B,C))),C))),C),meet(C,join(join(meet(join(meet(B,C),meet(C,join(B,C))),C),meet(C,join(join(meet(B,C),meet(C,join(B,C))),C))),C))),x102))) = C,
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_15,plain,
A = join(meet(A,B),meet(A,join(A,B))),
inference(rw,[status(thm)],[eq_14,eq_7]) ).
cnf(eq_16,plain,
A = join(meet(A,B),meet(join(meet(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(F,join(join(meet(G,A),meet(A,x7)),A)),meet(join(meet(A,meet(meet(join(G,join(A,x7)),join(x8,A)),A)),meet(x9,join(A,meet(meet(join(G,join(A,x7)),join(x8,A)),A)))),join(F,join(join(meet(G,A),meet(A,x7)),A)))),join(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(D,A),meet(A,E)),A)))),join(A,B))),
inference(rw,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_17,plain,
A = join(meet(A,B),meet(join(meet(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(D,join(A,E)),join(F,A)),A)),meet(G,join(A,meet(meet(join(D,join(A,E)),join(F,A)),A)))),join(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(D,A),meet(A,E)),A)))),join(A,B))),
inference(rw,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_18,plain,
join(meet(A,B),meet(B,join(A,B))) = join(meet(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),D),meet(join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),join(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),D))),
inference(rw,[status(thm)],[eq_12,eq_7]) ).
cnf(eq_19,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
eq_10 ).
cnf(eq_20,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]) ).
cnf(eq_21,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(A,A)),meet(join(meet(D,join(join(meet(E,A),meet(A,F)),A)),meet(join(meet(A,meet(meet(join(E,join(A,F)),join(G,A)),A)),meet(x7,join(A,meet(meet(join(E,join(A,F)),join(G,A)),A)))),join(D,join(join(meet(E,A),meet(A,F)),A)))),join(B,join(A,A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
inference(rw,[status(thm)],[eq_11,eq_7]) ).
cnf(eq_22,plain,
join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)) = meet(A,B),
inference(cp,[status(thm)],[eq_15,eq_15]) ).
cnf(eq_23,plain,
join(meet(C,x101),meet(join(meet(join(meet(join(meet(join(meet(B,C),meet(C,join(B,C))),C),meet(C,join(join(meet(B,C),meet(C,join(B,C))),C))),C),meet(C,join(join(meet(join(meet(B,C),meet(C,join(B,C))),C),meet(C,join(join(meet(B,C),meet(C,join(B,C))),C))),C))),join(join(meet(x103,C),meet(C,x104)),C)),meet(join(meet(C,meet(meet(join(x103,join(C,x104)),join(x105,C)),C)),meet(x106,join(C,meet(meet(join(x103,join(C,x104)),join(x105,C)),C)))),join(C,join(join(meet(x103,C),meet(C,x104)),C)))),join(C,x101))) = C,
inference(cp,[status(thm)],[eq_7,eq_17]) ).
cnf(eq_24,plain,
join(meet(join(meet(x100,A),meet(A,join(x100,A))),x102),meet(join(meet(x100,join(A,A)),meet(join(meet(x103,join(join(meet(x104,A),meet(A,x105)),A)),meet(A,join(x103,join(join(meet(x104,A),meet(A,x105)),A)))),join(x100,join(A,A)))),join(join(meet(x100,A),meet(A,join(x100,A))),x102))) = A,
inference(cp,[status(thm)],[eq_16,eq_21]) ).
cnf(eq_25,plain,
join(meet(join(meet(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B)))))))),meet(join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),join(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B)))))))))),x102),meet(join(meet(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),join(join(meet(x103,join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B)))))))),meet(join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),x104)),join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))))),meet(join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),join(join(meet(C,join(meet(A,B),meet(B,join(A,B)))),meet(join(meet(A,B),meet(B,join(A,B))),join(C,join(meet(A,B),meet(B,join(A,B)))))),join(join(meet(x103,join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B)))))))),meet(join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),x104)),join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))))))),join(join(meet(A,B),meet(B,join(A,B))),x102))) = join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),
inference(cp,[status(thm)],[eq_18,eq_20]) ).
cnf(eq_26,plain,
join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))))),x102),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),x104)),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),x104)),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))))))),join(A,x102))) = join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(join(meet(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)),meet(x8,join(A,meet(meet(join(F,join(A,G)),join(x7,A)),A)))),join(B,join(join(meet(D,A),meet(A,E)),A)))),
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_27,plain,
join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A))))))),x102),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),x104)),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),join(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A))))),meet(join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),x104)),join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))))))),join(A,x102))) = join(meet(B,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(B,join(join(meet(D,A),meet(A,E)),A)))),
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_28,plain,
join(meet(join(meet(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))))),x103),meet(join(meet(x100,join(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))))),meet(A,join(x100,join(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))))))),join(join(meet(x100,join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A)))),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),join(x100,A))),x103))) = join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),A))),
inference(cp,[status(thm)],[eq_7,eq_18]) ).
cnf(eq_29,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]) ).
cnf(eq_30,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),C),meet(join(meet(B,join(A,A)),meet(join(meet(D,join(join(meet(E,A),meet(A,F)),A)),meet(A,join(D,join(join(meet(E,A),meet(A,F)),A)))),join(B,join(A,A)))),join(join(meet(B,A),meet(A,join(B,A))),C))),
eq_24 ).
cnf(eq_31,plain,
A = join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(A,meet(meet(join(C,join(A,D)),join(E,A)),A)),meet(F,join(A,meet(meet(join(C,join(A,D)),join(E,A)),A)))),join(A,join(join(meet(C,A),meet(A,D)),A)))),join(A,B))),
inference(rw,[status(thm)],[eq_23,eq_7]) ).
cnf(eq_32,plain,
join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(A,A)),meet(A,join(B,join(A,A))))),meet(join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),join(join(meet(B,A),meet(A,join(B,A))),join(meet(B,join(A,A)),meet(A,join(B,join(A,A))))))),x102),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(A,A)),meet(A,join(B,join(A,A))))),meet(join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),x104)),join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))))),meet(join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),join(join(meet(B,A),meet(A,join(B,A))),join(join(meet(x103,join(meet(B,join(A,A)),meet(A,join(B,join(A,A))))),meet(join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),x104)),join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))))))),join(A,x102))) = join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),
inference(cp,[status(thm)],[eq_29,eq_20]) ).
cnf(eq_33,plain,
join(meet(A,B),meet(B,join(A,B))) = join(meet(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(meet(A,B),meet(B,join(A,B))),join(meet(A,B),meet(B,join(A,B))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_18]),eq_18]),eq_15]) ).
cnf(eq_34,plain,
A = join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(A,meet(meet(join(E,join(A,F)),join(G,A)),A)),meet(x7,join(A,meet(meet(join(E,join(A,F)),join(G,A)),A)))),join(B,join(join(meet(C,A),meet(A,D)),A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_19]),eq_19]),eq_15]) ).
cnf(eq_35,plain,
A = join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(A,join(B,join(join(meet(C,A),meet(A,D)),A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_20]),eq_20]),eq_15]) ).
cnf(eq_36,plain,
A = join(meet(B,join(A,A)),meet(A,join(B,join(A,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_29]),eq_29]),eq_15]) ).
cnf(eq_37,plain,
join(meet(A,B),meet(B,join(A,B))) = B,
inference(cp,[status(thm)],[eq_33,eq_15]) ).
cnf(eq_38,plain,
A = join(meet(A,meet(meet(join(E,join(A,F)),join(G,A)),A)),meet(x7,join(A,meet(meet(join(E,join(A,F)),join(G,A)),A)))),
inference(cp,[status(thm)],[eq_34,eq_15]) ).
cnf(eq_39,plain,
join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x101),meet(join(meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x102,join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A)))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x103)),join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))))),meet(A,join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),join(join(meet(x102,join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A)))),meet(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x103)),join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))))))),join(join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),x101))) = join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),
inference(cp,[status(thm)],[eq_7,eq_31]) ).
cnf(eq_40,plain,
A = join(meet(B,join(A,A)),meet(join(meet(D,join(join(meet(E,A),meet(A,F)),A)),meet(A,join(D,join(join(meet(E,A),meet(A,F)),A)))),join(B,join(A,A)))),
inference(cp,[status(thm)],[eq_30,eq_36]) ).
cnf(eq_41,plain,
A = join(meet(B,A),meet(A,join(B,A))),
eq_37 ).
cnf(eq_42,plain,
A = join(meet(join(meet(B,A),meet(A,join(B,A))),A),meet(A,join(join(meet(B,A),meet(A,join(B,A))),A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_7]),eq_7]) ).
cnf(eq_43,plain,
A = join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),A)),meet(E,join(A,meet(meet(join(B,join(A,C)),join(D,A)),A)))),
eq_38 ).
cnf(eq_44,plain,
A = join(meet(B,join(A,A)),meet(join(meet(C,join(join(meet(D,A),meet(A,E)),A)),meet(A,join(C,join(join(meet(D,A),meet(A,E)),A)))),join(B,join(A,A)))),
eq_40 ).
cnf(eq_45,plain,
join(meet(meet(B,A),meet(A,join(B,A))),meet(meet(B,A),A)) = meet(B,A),
inference(cp,[status(thm)],[eq_41,eq_15]) ).
cnf(eq_46,plain,
join(meet(meet(B,A),meet(meet(join(x101,join(meet(B,A),meet(A,join(B,A)))),join(x103,meet(B,A))),meet(B,A))),meet(x104,join(meet(B,A),meet(meet(join(x101,A),join(x103,meet(B,A))),meet(B,A))))) = meet(B,A),
inference(cp,[status(thm)],[eq_41,eq_43]) ).
cnf(eq_47,plain,
join(meet(meet(A,B),meet(meet(join(x101,join(meet(A,B),meet(A,join(A,B)))),join(x103,meet(A,B))),meet(A,B))),meet(x104,join(meet(A,B),meet(meet(join(x101,A),join(x103,meet(A,B))),meet(A,B))))) = meet(A,B),
inference(cp,[status(thm)],[eq_15,eq_43]) ).
cnf(eq_48,plain,
A = meet(meet(join(B,join(A,C)),join(D,A)),A),
inference(cp,[status(thm)],[eq_43,eq_41]) ).
cnf(eq_49,plain,
meet(A,B) = join(meet(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))),meet(E,join(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))))),
inference(rw,[status(thm)],[eq_46,eq_41]) ).
cnf(eq_50,plain,
meet(A,B) = join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),
eq_45 ).
cnf(eq_51,plain,
meet(A,B) = join(meet(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))),meet(E,join(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))))),
inference(rw,[status(thm)],[eq_47,eq_15]) ).
cnf(eq_52,plain,
join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),A)),meet(x104,join(A,A))) = A,
inference(cp,[status(thm)],[eq_48,eq_43]) ).
cnf(eq_53,plain,
meet(A,B) = meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B)),
inference(cp,[status(thm)],[eq_49,eq_41]) ).
cnf(eq_54,plain,
meet(A,B) = meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B)),
inference(cp,[status(thm)],[eq_51,eq_41]) ).
cnf(eq_55,plain,
A = join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),A)),meet(E,join(A,A))),
eq_52 ).
cnf(eq_56,plain,
A = join(meet(A,A),meet(B,join(A,A))),
inference(rw,[status(thm)],[eq_55,eq_48]) ).
cnf(eq_57,plain,
meet(meet(join(x100,B),meet(A,B)),meet(meet(A,B),B)) = meet(meet(A,B),B),
inference(cp,[status(thm)],[eq_50,eq_53]) ).
cnf(eq_58,plain,
meet(meet(join(x100,A),join(x102,A)),meet(meet(join(B,join(A,C)),join(D,A)),A)) = meet(meet(join(B,join(A,C)),join(D,A)),A),
inference(cp,[status(thm)],[eq_48,eq_53]) ).
cnf(eq_59,plain,
meet(meet(A,B),B) = meet(meet(join(C,B),meet(A,B)),meet(meet(A,B),B)),
eq_57 ).
cnf(eq_60,plain,
A = meet(meet(join(B,A),join(C,A)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_48]),eq_48]) ).
cnf(eq_61,plain,
meet(meet(join(x100,B),A),meet(B,join(A,A))) = meet(B,join(A,A)),
inference(cp,[status(thm)],[eq_56,eq_54]) ).
cnf(eq_62,plain,
A = join(join(meet(C,A),meet(A,D)),A),
inference(cp,[status(thm)],[eq_35,eq_56]) ).
cnf(eq_63,plain,
A = join(A,A),
inference(cp,[status(thm)],[eq_44,eq_56]) ).
cnf(eq_64,plain,
A = join(join(meet(B,A),meet(A,C)),A),
eq_62 ).
cnf(eq_65,plain,
meet(A,join(B,B)) = meet(meet(join(C,A),B),meet(A,join(B,B))),
eq_61 ).
cnf(eq_66,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_41]),eq_41]),eq_63]),eq_63]) ).
cnf(eq_67,plain,
A = join(meet(A,A),meet(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_48]),eq_63]) ).
cnf(eq_68,plain,
meet(A,B) = meet(meet(join(C,A),B),meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_63]),eq_63]) ).
cnf(eq_69,plain,
meet(meet(join(x100,join(A,x102)),A),A) = A,
inference(cp,[status(thm)],[eq_64,eq_48]) ).
cnf(eq_70,plain,
meet(meet(join(x100,x101),meet(x101,x103)),meet(x101,x103)) = meet(x101,x103),
inference(cp,[status(thm)],[eq_64,eq_54]) ).
cnf(eq_71,plain,
join(join(A,meet(A,x102)),A) = A,
inference(cp,[status(thm)],[eq_48,eq_64]) ).
cnf(eq_72,plain,
A = meet(meet(join(B,join(A,C)),A),A),
eq_69 ).
cnf(eq_73,plain,
A = join(join(A,meet(A,B)),A),
eq_71 ).
cnf(eq_74,plain,
join(meet(meet(join(A,meet(A,B)),A),meet(A,A)),meet(meet(join(A,meet(A,B)),A),A)) = meet(join(A,meet(A,B)),A),
inference(cp,[status(thm)],[eq_73,eq_50]) ).
cnf(eq_75,plain,
meet(join(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_66,eq_60]) ).
cnf(eq_76,plain,
meet(meet(join(x101,x102),x101),x101) = x101,
inference(cp,[status(thm)],[eq_73,eq_72]) ).
cnf(eq_77,plain,
join(A,meet(x101,A)) = A,
inference(cp,[status(thm)],[eq_66,eq_67]) ).
cnf(eq_78,plain,
A = join(A,meet(B,A)),
eq_77 ).
cnf(eq_79,plain,
A = meet(meet(join(A,B),A),A),
eq_76 ).
cnf(eq_80,plain,
A = meet(join(B,A),A),
eq_75 ).
cnf(eq_81,plain,
join(meet(x100,B),B) = B,
inference(cp,[status(thm)],[eq_78,eq_64]) ).
cnf(eq_82,plain,
A = join(meet(B,A),A),
eq_81 ).
cnf(eq_83,plain,
A = meet(join(A,meet(A,B)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_66]),eq_79]),eq_79]),eq_63]) ).
cnf(eq_84,plain,
join(A,meet(join(A,meet(A,B)),join(join(A,meet(A,B)),A))) = join(A,meet(A,B)),
inference(cp,[status(thm)],[eq_83,eq_15]) ).
cnf(eq_85,plain,
join(meet(meet(B,A),A),meet(meet(B,A),A)) = meet(B,A),
inference(cp,[status(thm)],[eq_82,eq_15]) ).
cnf(eq_86,plain,
meet(meet(A,x102),meet(meet(B,A),x102)) = meet(meet(B,A),x102),
inference(cp,[status(thm)],[eq_78,eq_68]) ).
cnf(eq_87,plain,
meet(meet(A,B),C) = meet(meet(B,C),meet(meet(A,B),C)),
eq_86 ).
cnf(eq_88,plain,
A = join(A,meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_73]),eq_78]) ).
cnf(eq_89,plain,
meet(A,B) = meet(meet(A,B),B),
inference(rw,[status(thm)],[eq_85,eq_63]) ).
cnf(eq_90,plain,
meet(A,B) = meet(join(C,B),meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_89]),eq_89]),eq_89]) ).
cnf(eq_91,plain,
meet(meet(A,x102),meet(meet(A,B),x102)) = meet(meet(A,B),x102),
inference(cp,[status(thm)],[eq_88,eq_68]) ).
cnf(eq_92,plain,
join(join(B,A),A) = join(B,A),
inference(cp,[status(thm)],[eq_80,eq_88]) ).
cnf(eq_93,plain,
meet(A,B) = meet(join(C,A),meet(A,B)),
inference(rw,[status(thm)],[eq_70,eq_89]) ).
cnf(eq_94,plain,
meet(meet(A,B),C) = meet(meet(A,C),meet(meet(A,B),C)),
eq_91 ).
cnf(eq_95,plain,
join(A,B) = join(join(A,B),B),
eq_92 ).
cnf(eq_96,plain,
join(meet(meet(join(A,B),B),meet(join(A,B),join(A,B))),meet(meet(join(A,B),B),join(A,B))) = meet(join(A,B),B),
inference(cp,[status(thm)],[eq_95,eq_22]) ).
cnf(eq_97,plain,
meet(A,meet(meet(B,A),x102)) = meet(meet(B,A),x102),
inference(cp,[status(thm)],[eq_78,eq_93]) ).
cnf(eq_98,plain,
meet(A,meet(x102,meet(B,A))) = meet(x102,meet(B,A)),
inference(cp,[status(thm)],[eq_78,eq_90]) ).
cnf(eq_99,plain,
A = meet(A,join(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_80]),eq_66]),eq_80]),eq_63]),eq_80]) ).
cnf(eq_100,plain,
meet(A,meet(meet(B,A),C)) = meet(meet(B,A),C),
eq_97 ).
cnf(eq_101,plain,
meet(A,meet(B,C)) = meet(C,meet(A,meet(B,C))),
eq_98 ).
cnf(eq_102,plain,
meet(meet(A,B),A) = meet(A,B),
inference(cp,[status(thm)],[eq_88,eq_99]) ).
cnf(eq_103,plain,
meet(meet(B,A),meet(A,B)) = meet(meet(A,B),A),
inference(cp,[status(thm)],[eq_102,eq_87]) ).
cnf(eq_104,plain,
meet(A,B) = meet(meet(B,A),meet(A,B)),
inference(rw,[status(thm)],[eq_103,eq_102]) ).
cnf(eq_105,plain,
meet(meet(A,B),meet(B,A)) = meet(meet(B,A),meet(A,B)),
inference(cp,[status(thm)],[eq_104,eq_102]) ).
cnf(eq_106,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_104]),eq_104]) ).
cnf(eq_107,plain,
meet(x100,meet(A,meet(x101,x100))) = meet(meet(x101,x100),A),
inference(cp,[status(thm)],[eq_106,eq_100]) ).
cnf(eq_108,plain,
meet(meet(A,B),meet(meet(B,x102),A)) = meet(meet(B,x102),A),
inference(cp,[status(thm)],[eq_106,eq_94]) ).
cnf(eq_109,plain,
meet(meet(B,x101),meet(meet(A,B),x101)) = meet(meet(B,A),x101),
inference(cp,[status(thm)],[eq_106,eq_94]) ).
cnf(eq_110,plain,
meet(meet(A,B),C) = meet(meet(B,A),C),
inference(rw,[status(thm)],[eq_109,eq_87]) ).
cnf(eq_111,plain,
meet(A,meet(B,C)) = meet(meet(B,C),A),
inference(rw,[status(thm)],[eq_107,eq_101]) ).
cnf(eq_112,plain,
meet(meet(A,B),C) = meet(meet(C,A),meet(meet(A,B),C)),
eq_108 ).
cnf(eq_113,negated_conjecture,
meet(meet(b,c),a) != meet(meet(a,b),c),
inference(cp,[status(thm)],[eq_106,eq_1]) ).
cnf(eq_114,plain,
meet(A,meet(B,C)) = meet(meet(C,B),A),
inference(cp,[status(thm)],[eq_111,eq_110]) ).
cnf(eq_115,negated_conjecture,
meet(meet(c,b),a) != meet(meet(a,b),c),
inference(cp,[status(thm)],[eq_110,eq_113]) ).
cnf(eq_116,negated_conjecture,
meet(meet(a,b),c) != meet(meet(c,b),a),
eq_115 ).
cnf(eq_117,plain,
meet(meet(A,B),C) = meet(meet(meet(A,B),C),meet(C,B)),
inference(cp,[status(thm)],[eq_87,eq_114]) ).
cnf(eq_118,plain,
meet(meet(A,B),C) = meet(meet(meet(A,B),C),meet(C,A)),
inference(cp,[status(thm)],[eq_94,eq_114]) ).
cnf(eq_119,negated_conjecture,
meet(meet(b,a),c) != meet(meet(c,b),a),
inference(cp,[status(thm)],[eq_110,eq_116]) ).
cnf(eq_120,plain,
meet(meet(meet(A,B),C),meet(meet(C,B),meet(A,B))) = meet(meet(meet(A,B),C),meet(C,B)),
inference(cp,[status(thm)],[eq_117,eq_118]) ).
cnf(eq_121,plain,
meet(meet(meet(A,B),C),meet(meet(C,A),meet(A,B))) = meet(meet(meet(A,B),C),meet(C,A)),
inference(cp,[status(thm)],[eq_118,eq_118]) ).
cnf(eq_122,plain,
meet(meet(A,B),C) = meet(meet(C,B),meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_112]),eq_117]) ).
cnf(eq_123,plain,
meet(meet(A,B),C) = meet(meet(C,A),meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_121,eq_112]),eq_118]) ).
cnf(eq_124,plain,
meet(meet(A,B),C) = meet(meet(A,B),meet(C,A)),
inference(cp,[status(thm)],[eq_123,eq_106]) ).
cnf(eq_125,negated_conjecture,
meet(meet(a,b),meet(c,b)) != meet(meet(b,a),c),
inference(cp,[status(thm)],[eq_122,eq_119]) ).
cnf(eq_126,negated_conjecture,
meet(meet(b,a),meet(c,b)) != meet(meet(b,a),c),
inference(cp,[status(thm)],[eq_110,eq_125]) ).
cnf(eq_127,negated_conjecture,
meet(meet(b,a),c) != meet(meet(b,a),c),
inference(rw,[status(thm)],[eq_126,eq_124]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT082-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 05:18:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 79.12/79.36 % SZS status Unsatisfiable
% 79.12/79.36 % SZS output start CNFRefutation for /tmp/MaedMax_6865
% See solution above
% 79.12/79.36
%------------------------------------------------------------------------------