%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:55:02 PM UTC 2026
% Result : Unsatisfiable 135.01s 29.92s
% Output : Proof 135.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 119
% Number of leaves : 3
% Syntax : Number of formulae : 188 ( 184 unt; 0 def)
% Number of atoms : 208 ( 207 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 581 ( 76 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms) ).
fof(f1_nnf,plain,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t1,plain,
ifeq(meet(a,a),a,ifeq(meet(b,a),meet(a,b),ifeq(join(a,a),a,ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t4,plain,
ifeq(meet(a,a),a,ifeq(meet(b,a),meet(a,b),ifeq(join(a,a),a,ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t1331,plain,
ifeq(a,a,ifeq(meet(b,a),meet(a,b),ifeq(join(a,a),a,ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true),true),true) = true,
inference(rw,[status(thm)],[t4]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t3,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t2927,plain,
ifeq(meet(b,a),meet(a,b),ifeq(join(a,a),a,ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true),true) = true,
inference(step,[status(thm)],[t1331,t3]) ).
cnf(f0,axiom,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)),meet(U,join(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)))),join(X,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f0_nnf,plain,
! [X,Y,Z,X1,X2,U] : join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)),meet(U,join(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)))),join(X,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z,X1,X2,U] : join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)),meet(U,join(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)))),join(X,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t2,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t5,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t6,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),join(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(Y8,join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),join(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X6))),
inference(cp,[status(thm)],[t5,t5]) ).
cnf(t2838,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),join(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(Y8,join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),join(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(X2,X6))),
inference(step,[status(thm)],[t6,t5]) ).
cnf(t133,plain,
join(meet(X1,X2),meet(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),Y6),meet(Y7,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),meet(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),meet(meet(join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),Y6),join(Y7,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),meet(Y8,join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),meet(meet(join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),Y6),join(Y7,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))))),join(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),Y6),meet(Y7,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))))),join(X1,X2))) = join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),
inference(orient,[status(thm)],[t2838]) ).
cnf(t8,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = join(meet(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X4),meet(join(meet(X3,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5),meet(X6,join(meet(X1,X2),meet(X2,join(X1,X2))))),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X3,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5),meet(X6,join(meet(X1,X2),meet(X2,join(X1,X2))))),join(meet(X1,X2),meet(X2,join(X1,X2))))))),join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X4))),
inference(cp,[status(thm)],[t5,t5]) ).
cnf(t11,plain,
join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(orient,[status(thm)],[t8]) ).
cnf(t12,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))) = join(meet(join(meet(X6,X2),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6),meet(join(meet(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4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inference(cp,[status(thm)],[t11,t5]) ).
cnf(t2825,plain,
X2 = join(meet(join(meet(X6,X2),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6),meet(join(meet(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t12,t5]) ).
cnf(t2826,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6),meet(join(meet(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2825,t5]) ).
cnf(t2827,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2826,t5]) ).
cnf(t2828,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2827,t5]) ).
cnf(t2829,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2828,t5]) ).
cnf(t2830,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2829,t5]) ).
cnf(t2831,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2830,t5]) ).
cnf(t2832,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,X2)),join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))))))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2831,t5]) ).
cnf(t2833,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)))),join(join(meet(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2832,t5]) ).
cnf(t2834,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)))),join(join(meet(X6,X2),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2833,t5]) ).
cnf(t2835,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)))),join(join(meet(X6,X2),meet(X2,join(X6,join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))))),Y6))),
inference(step,[status(thm)],[t2834,t5]) ).
cnf(t2836,plain,
X2 = join(meet(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6),meet(join(meet(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(X6,join(join(meet(X2,Y7),meet(Y8,X2)),X2)))),join(join(meet(X6,X2),meet(X2,join(X6,X2))),Y6))),
inference(step,[status(thm)],[t2835,t5]) ).
cnf(t35,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X6,join(join(meet(X2,Y6),meet(Y7,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,Y6),join(Y7,X2)),X2)),meet(Y8,join(X2,meet(meet(join(X2,Y6),join(Y7,X2)),X2)))),join(X6,join(join(meet(X2,Y6),meet(Y7,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(orient,[status(thm)],[t2836]) ).
cnf(t38,plain,
X1 = join(meet(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3),meet(X1,join(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3))),
inference(cp,[status(thm)],[t35,t5]) ).
cnf(t71,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
inference(orient,[status(thm)],[t38]) ).
cnf(t78,plain,
X1 = join(meet(X1,X2),meet(X1,join(join(meet(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),X1),meet(X1,join(join(meet(X3,X1),meet(X1,join(X3,X1))),X1))),X1),meet(X1,join(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),X1),meet(X1,join(join(meet(X3,X1),meet(X1,join(X3,X1))),X1))),X1))),X2))),
inference(cp,[status(thm)],[t71,t71]) ).
cnf(t2837,plain,
X1 = join(meet(X1,X2),meet(X1,join(X1,X2))),
inference(step,[status(thm)],[t78,t71]) ).
cnf(t97,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(orient,[status(thm)],[t2837]) ).
cnf(t384,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),Y6),meet(Y7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(X2,X6))),
inference(cp,[status(thm)],[t133,t97]) ).
cnf(t2857,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(X2,join(X2,X6))),
inference(step,[status(thm)],[t384,t5]) ).
cnf(t2858,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(step,[status(thm)],[t2857,t97]) ).
cnf(t1066,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(orient,[status(thm)],[t2858]) ).
cnf(t1072,plain,
X1 = join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),
inference(cp,[status(thm)],[t1066,t97]) ).
cnf(t1178,plain,
join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1,
inference(orient,[status(thm)],[t1072]) ).
cnf(t88,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))) = join(meet(join(meet(X3,X2),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4),meet(join(meet(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(cp,[status(thm)],[t11,t71]) ).
cnf(t2839,plain,
X2 = join(meet(join(meet(X3,X2),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4),meet(join(meet(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t88,t71]) ).
cnf(t2840,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4),meet(join(meet(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2839,t71]) ).
cnf(t2841,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2840,t71]) ).
cnf(t2842,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2841,t71]) ).
cnf(t2843,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2842,t71]) ).
cnf(t2844,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2843,t71]) ).
cnf(t2845,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2844,t71]) ).
cnf(t2846,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,X2)),join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))))))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2845,t71]) ).
cnf(t2847,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)))),join(join(meet(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2846,t71]) ).
cnf(t2848,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)))),join(join(meet(X3,X2),meet(join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2))),join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2847,t71]) ).
cnf(t2849,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)))),join(join(meet(X3,X2),meet(X2,join(X3,join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X2)))))),X4))),
inference(step,[status(thm)],[t2848,t71]) ).
cnf(t2850,plain,
X2 = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X4),meet(join(meet(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)),meet(X2,join(X3,join(join(meet(X2,X5),meet(X6,X2)),X2)))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))),
inference(step,[status(thm)],[t2849,t71]) ).
cnf(t558,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(orient,[status(thm)],[t2850]) ).
cnf(t570,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X6),meet(Y6,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X6),meet(Y6,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X5))),
inference(cp,[status(thm)],[t558,t558]) ).
cnf(t2851,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X5))),
inference(step,[status(thm)],[t570,t558]) ).
cnf(t2852,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(X2,join(X2,X5))),
inference(step,[status(thm)],[t2851,t558]) ).
cnf(t2853,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(step,[status(thm)],[t2852,t97]) ).
cnf(t647,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(orient,[status(thm)],[t2853]) ).
cnf(t2854,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(step,[status(thm)],[t558,t647]) ).
cnf(t648,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(rw,[status(thm)],[t2854]) ).
cnf(t720,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(orient,[status(thm)],[t648]) ).
cnf(t1188,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(cp,[status(thm)],[t1178,t720]) ).
cnf(t1210,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(orient,[status(thm)],[t1188]) ).
cnf(t1220,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(cp,[status(thm)],[t1210,t1178]) ).
cnf(t1229,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t1220]) ).
cnf(t2871,plain,
join(meet(X1,X1),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1,
inference(step,[status(thm)],[t1178,t1229]) ).
cnf(t2872,plain,
join(meet(X1,X1),meet(X4,join(X1,X1))) = X1,
inference(step,[status(thm)],[t2871,t1229]) ).
cnf(t1230,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(rw,[status(thm)],[t2872]) ).
cnf(t1253,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(orient,[status(thm)],[t1230]) ).
cnf(t1254,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(cp,[status(thm)],[t1253,t647]) ).
cnf(t1270,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t1254]) ).
cnf(t1274,plain,
X1 = join(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t1270,t1229]) ).
cnf(t1284,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t1274]) ).
cnf(t1283,plain,
X1 = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t1229,t1270]) ).
cnf(t1294,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t1283]) ).
cnf(t1295,plain,
meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t1294,t97]) ).
cnf(t1320,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t1295]) ).
cnf(t1321,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(cp,[status(thm)],[t1320,t1229]) ).
cnf(t2873,plain,
X1 = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t1321,t1229]) ).
cnf(t2874,plain,
X1 = meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t2873,t1229]) ).
cnf(t2875,plain,
X1 = meet(X1,X1),
inference(step,[status(thm)],[t2874,t1229]) ).
cnf(t1330,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t2875]) ).
cnf(t1338,plain,
X1 = meet(join(X1,X1),X1),
inference(cp,[status(thm)],[t1229,t1330]) ).
cnf(t1352,plain,
meet(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t1338]) ).
cnf(t1359,plain,
join(X1,X1) = join(join(X1,join(X1,X1)),join(X1,X1)),
inference(cp,[status(thm)],[t1284,t1352]) ).
cnf(t1256,plain,
X1 = join(meet(X1,X1),join(X1,X1)),
inference(cp,[status(thm)],[t1253,t1229]) ).
cnf(t1263,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(orient,[status(thm)],[t1256]) ).
cnf(t2877,plain,
join(X1,join(X1,X1)) = X1,
inference(step,[status(thm)],[t1263,t1330]) ).
cnf(t1333,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[t2877]) ).
cnf(t1342,plain,
join(X1,join(X1,X1)) = X1,
inference(orient,[status(thm)],[t1333]) ).
cnf(t2878,plain,
join(X1,X1) = join(X1,join(X1,X1)),
inference(step,[status(thm)],[t1359,t1342]) ).
cnf(t2879,plain,
join(X1,X1) = X1,
inference(step,[status(thm)],[t2878,t1342]) ).
cnf(t1361,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t2879]) ).
cnf(t2928,plain,
ifeq(meet(b,a),meet(a,b),ifeq(a,a,ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true),true) = true,
inference(step,[status(thm)],[t2927,t1361]) ).
cnf(t2929,plain,
ifeq(meet(b,a),meet(a,b),ifeq(join(b,a),join(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true) = true,
inference(step,[status(thm)],[t2928,t3]) ).
cnf(t1365,plain,
X1 = meet(meet(X1,join(X2,X1)),X1),
inference(cp,[status(thm)],[t1229,t1361]) ).
cnf(t1394,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t1365]) ).
cnf(t102,plain,
meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)),
inference(cp,[status(thm)],[t97,t97]) ).
cnf(t118,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t102]) ).
cnf(t2876,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(step,[status(thm)],[t1253,t1330]) ).
cnf(t1332,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(rw,[status(thm)],[t2876]) ).
cnf(t2882,plain,
join(X1,meet(X2,X1)) = X1,
inference(step,[status(thm)],[t1332,t1361]) ).
cnf(t1366,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t2882]) ).
cnf(t1368,plain,
meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),meet(X1,X1)),meet(meet(X1,meet(X2,X1)),X1)),
inference(cp,[status(thm)],[t118,t1366]) ).
cnf(t2886,plain,
meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)),
inference(step,[status(thm)],[t1368,t1330]) ).
cnf(t2887,plain,
meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t2886,t1361]) ).
cnf(t1419,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(orient,[status(thm)],[t2887]) ).
cnf(t1458,plain,
meet(meet(X1,X2),X2) = meet(X2,meet(X1,X2)),
inference(rw,[status(thm)],[t1419]) ).
cnf(t1297,plain,
meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t1294,t1210]) ).
cnf(t1446,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t1297]) ).
cnf(t1453,plain,
meet(X1,meet(X2,X1)) = join(join(meet(X2,X1),meet(X1,meet(X2,X1))),meet(X1,meet(X2,X1))),
inference(cp,[status(thm)],[t1284,t1446]) ).
cnf(t2889,plain,
meet(X1,meet(X2,X1)) = join(meet(X2,X1),meet(X1,meet(X2,X1))),
inference(step,[status(thm)],[t1453,t1366]) ).
cnf(t2890,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(step,[status(thm)],[t2889,t1366]) ).
cnf(t1456,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t2890]) ).
cnf(t2892,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(step,[status(thm)],[t1458,t1456]) ).
cnf(t1475,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(orient,[status(thm)],[t2892]) ).
cnf(t2893,plain,
meet(join(X1,X2),X1) = X1,
inference(step,[status(thm)],[t1294,t1475]) ).
cnf(t1476,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[t2893]) ).
cnf(t1589,plain,
meet(join(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t1476]) ).
cnf(t1592,plain,
join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)),
inference(cp,[status(thm)],[t1589,t1284]) ).
cnf(t1615,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(orient,[status(thm)],[t1592]) ).
cnf(t1637,plain,
X1 = meet(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t1394,t1615]) ).
cnf(t1646,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t1637]) ).
cnf(t1651,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),join(join(meet(X1,X2),X1),X1))),
inference(cp,[status(thm)],[t97,t1646]) ).
cnf(t2898,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),X1)),
inference(step,[status(thm)],[t1651,t1284]) ).
cnf(t2899,plain,
join(meet(X1,X2),X1) = X1,
inference(step,[status(thm)],[t2898,t1366]) ).
cnf(t1663,plain,
join(meet(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t2899]) ).
cnf(t1669,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(cp,[status(thm)],[t1663,t1589]) ).
cnf(t1859,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t1669]) ).
cnf(t1862,plain,
X1 = join(meet(X1,join(X1,X2)),meet(X1,join(X1,X2))),
inference(cp,[status(thm)],[t97,t1859]) ).
cnf(t2907,plain,
X1 = meet(X1,join(X1,X2)),
inference(step,[status(thm)],[t1862,t1361]) ).
cnf(t1881,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t2907]) ).
cnf(t1884,plain,
join(X1,X2) = join(join(meet(join(X1,X2),X3),X1),join(X1,X2)),
inference(cp,[status(thm)],[t1270,t1881]) ).
cnf(t2308,plain,
join(join(meet(join(X1,X2),X3),X1),join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t1884]) ).
cnf(t1670,plain,
meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(meet(X1,X2),X1)),
inference(cp,[status(thm)],[t97,t1663]) ).
cnf(t2905,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(step,[status(thm)],[t1670,t1361]) ).
cnf(t1869,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(orient,[status(thm)],[t2905]) ).
cnf(t2906,plain,
meet(X1,join(X2,X1)) = X1,
inference(step,[status(thm)],[t1394,t1869]) ).
cnf(t1875,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[t2906]) ).
cnf(t1886,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t1875]) ).
cnf(t1890,plain,
meet(X1,join(X2,X1)) = meet(join(X2,X1),X1),
inference(cp,[status(thm)],[t1456,t1886]) ).
cnf(t2908,plain,
X1 = meet(join(X2,X1),X1),
inference(step,[status(thm)],[t1890,t1886]) ).
cnf(t1899,plain,
meet(join(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t2908]) ).
cnf(t2309,plain,
join(X1,X2) = join(join(X2,X1),join(X1,X2)),
inference(cp,[status(thm)],[t2308,t1899]) ).
cnf(t2333,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t2309]) ).
cnf(t2334,plain,
join(join(X1,X2),join(X2,X1)) = join(join(join(X2,X1),join(X1,X2)),join(X2,X1)),
inference(cp,[status(thm)],[t2333,t2333]) ).
cnf(t2921,plain,
join(X2,X1) = join(join(join(X2,X1),join(X1,X2)),join(X2,X1)),
inference(step,[status(thm)],[t2334,t2333]) ).
cnf(t1885,plain,
join(X1,X2) = join(join(X1,X2),X1),
inference(cp,[status(thm)],[t1366,t1881]) ).
cnf(t1895,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(orient,[status(thm)],[t1885]) ).
cnf(t2922,plain,
join(X2,X1) = join(join(X2,X1),join(X1,X2)),
inference(step,[status(thm)],[t2921,t1895]) ).
cnf(t2923,plain,
join(X2,X1) = join(X1,X2),
inference(step,[status(thm)],[t2922,t2333]) ).
cnf(t2355,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2923]) ).
cnf(t2930,plain,
ifeq(meet(b,a),meet(a,b),ifeq(join(b,a),join(b,a),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true),true) = true,
inference(step,[status(thm)],[t2929,t2355]) ).
cnf(t2931,plain,
ifeq(meet(b,a),meet(a,b),ifeq(meet(meet(join(a,b),join(c,b)),b),b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true) = true,
inference(step,[status(thm)],[t2930,t3]) ).
cnf(t1367,plain,
X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)),
inference(cp,[status(thm)],[t97,t1366]) ).
cnf(t2885,plain,
X1 = join(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t1367,t1330]) ).
cnf(t1413,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t2885]) ).
cnf(t2891,plain,
join(meet(X2,X1),X1) = X1,
inference(step,[status(thm)],[t1413,t1456]) ).
cnf(t1457,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[t2891]) ).
cnf(t1470,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t1457]) ).
cnf(t1891,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(cp,[status(thm)],[t1470,t1886]) ).
cnf(t1901,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t1891]) ).
cnf(t1902,plain,
X1 = meet(meet(join(X2,X1),join(X3,X1)),X1),
inference(cp,[status(thm)],[t1229,t1901]) ).
cnf(t2010,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t1902]) ).
cnf(t2932,plain,
ifeq(meet(b,a),meet(a,b),ifeq(b,b,ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true),true) = true,
inference(step,[status(thm)],[t2931,t2010]) ).
cnf(t2933,plain,
ifeq(meet(b,a),meet(a,b),ifeq(join(join(meet(a,b),meet(c,b)),b),b,false,true),true) = true,
inference(step,[status(thm)],[t2932,t3]) ).
cnf(t2934,plain,
ifeq(meet(b,a),meet(a,b),ifeq(join(b,join(meet(a,b),meet(c,b))),b,false,true),true) = true,
inference(step,[status(thm)],[t2933,t2355]) ).
cnf(t1466,plain,
X1 = join(join(meet(X2,X1),meet(X3,X1)),X1),
inference(cp,[status(thm)],[t1270,t1456]) ).
cnf(t1903,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t1466]) ).
cnf(t1910,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = join(X2,join(meet(X1,X2),meet(X3,X2))),
inference(cp,[status(thm)],[t1895,t1903]) ).
cnf(t2911,plain,
X2 = join(X2,join(meet(X1,X2),meet(X3,X2))),
inference(step,[status(thm)],[t1910,t1903]) ).
cnf(t2057,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t2911]) ).
cnf(t2935,plain,
ifeq(meet(b,a),meet(a,b),ifeq(b,b,false,true),true) = true,
inference(step,[status(thm)],[t2934,t2057]) ).
cnf(t2936,plain,
ifeq(meet(b,a),meet(a,b),false,true) = true,
inference(step,[status(thm)],[t2935,t3]) ).
cnf(t2405,plain,
ifeq(meet(b,a),meet(a,b),false,true) = true,
inference(orient,[status(thm)],[t2936]) ).
cnf(t2760,plain,
ifeq(meet(b,a),meet(b,a),false,true) = true,
inference(rw,[status(thm)],[t2405]) ).
cnf(t2963,plain,
false = true,
inference(step,[status(thm)],[t2760,t3]) ).
cnf(t2824,plain,
false = true,
inference(orient,[status(thm)],[t2963]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2824]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/10.53 % Computer : n012.cluster.edu
% 0.03/10.53 % Model : x86_64 x86_64
% 0.03/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.53 % Memory : 8046.5625MB
% 0.03/10.53 % OS : Linux 6.8.0-71-generic
% 0.03/10.53 % CPULimit : 300
% 0.03/10.53 % WCLimit : 300
% 0.03/10.53 % DateTime : Wed Sep 23 20:03:19 UTC 2026
% 0.03/10.53 % CPUTime :
% 0.03/10.53 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 135.01/29.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 135.01/29.92 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------