%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL050-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 02:37:03 PM UTC 2026
% Result : Unsatisfiable 22.35s 4.27s
% Output : CNFRefutation 26.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 18
% Syntax : Number of formulae : 7402 (7396 unt; 4 def)
% Number of atoms : 17418 (7407 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 19 ( 13 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 11974 ( 0 sgn11974 !; 0 ?;11942 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,negated_conjecture,
( join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top))
| join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( complement(composition(sk1,top)) != join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top)))
| composition(complement(composition(sk1,top)),top) != join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_73,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_74,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f19]) ).
tcf(c_75,negated_conjecture,
( ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) )
| ( join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top)) ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_88,negated_conjecture,
( ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != complement(composition(sk1,top)) )
| ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) ) ),
inference(theory_normalisation,[status(thm)],[c_75,c_64,c_63]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_65,c_64,c_63]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_72,c_64,c_63]) ).
tcf(c_121,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_74,c_73,c_64,c_63]) ).
tcf(c_130,definition,
iPr_def_10 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_131,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_132,definition,
iPr_def_12 = composition(iPr_def_11,top),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_133,definition,
iPr_def_13 = join(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_134,negated_conjecture,
( ( iPr_def_13 != iPr_def_12 )
| ( iPr_def_13 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_88,c_132,c_130,c_131,c_133]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_218,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_121,c_89]) ).
tcf(c_219,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_131,c_89]) ).
tcf(c_220,plain,
! [X0: $i] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_121,c_89]) ).
tcf(c_221,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_10)),complement(join(complement(X0),iPr_def_11))) = X0,
inference(superposition,[status(thm)],[c_131,c_89]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_89,c_89]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_89,c_89]) ).
tcf(c_224,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(iPr_def_11,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_221,c_64,c_63]) ).
tcf(c_225,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_220,c_64,c_63]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_222,c_64,c_63]) ).
tcf(c_234,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_121,c_73]) ).
tcf(c_235,plain,
join(iPr_def_10,iPr_def_11) = top,
inference(superposition,[status(thm)],[c_131,c_73]) ).
tcf(c_236,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_73,c_89]) ).
tcf(c_237,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_73,c_89]) ).
tcf(c_238,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_236,c_64,c_63]) ).
tcf(c_239,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_238,c_121]) ).
tcf(c_240,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_237,c_121]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_63,c_89]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_63,c_89]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_69,c_70]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_69,c_70]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_70,c_63]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_262,plain,
join(zero,complement(join(zero,zero))) = top,
inference(superposition,[status(thm)],[c_121,c_239]) ).
tcf(c_263,plain,
join(zero,complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_131,c_239]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(superposition,[status(thm)],[c_63,c_250]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = converse(converse(join(X0,X1))),
inference(superposition,[status(thm)],[c_70,c_250]) ).
tcf(c_267,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_73,c_250]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_250,c_71]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(X2)) = converse(join(join(converse(X0),X1),X2)),
inference(superposition,[status(thm)],[c_250,c_70]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(X2))) = converse(composition(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_250,c_71]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(X0,join(converse(X1),X2))),
inference(superposition,[status(thm)],[c_250,c_70]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(X2))) = converse(join(converse(X0),join(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_272,c_64,c_63]) ).
tcf(c_293,plain,
! [X0: $i] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[status(thm)],[c_69,c_267]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(X0,converse(X1))))) = converse(top),
inference(superposition,[status(thm)],[c_250,c_267]) ).
tcf(c_295,plain,
! [X0: $i] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_267,c_89]) ).
tcf(c_296,plain,
! [X0: $i] : converse(join(X0,complement(converse(converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_267,c_70]) ).
tcf(c_297,plain,
! [X0: $i] : join(X0,converse(converse(complement(converse(converse(X0)))))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_267,c_250]) ).
tcf(c_299,plain,
! [X0: $i] : join(X0,converse(converse(complement(X0)))) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_297,c_69]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(X0,converse(X1)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_294,c_64,c_63]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_63,c_251]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = converse(converse(join(X0,X1))),
inference(superposition,[status(thm)],[c_70,c_251]) ).
tcf(c_315,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_267,c_251]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(converse(X0),X1)))) = converse(top),
inference(superposition,[status(thm)],[c_251,c_267]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),X1),converse(X2)) = converse(composition(X2,join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_251,c_71]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),X2)) = converse(composition(join(X1,converse(X2)),X0)),
inference(superposition,[status(thm)],[c_251,c_71]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(X0,join(X1,converse(X2)))),
inference(superposition,[status(thm)],[c_251,c_70]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = join(X0,converse(converse(X1))),
inference(superposition,[status(thm)],[c_251,c_250]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_327,c_69]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(converse(X0),X1))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_319,c_64,c_63]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] : composition(X0,converse(converse(X1))) = converse(converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_71,c_256]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(complement(composition(X1,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_256,c_267]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(X2)) = converse(join(composition(X1,converse(X0)),X2)),
inference(superposition,[status(thm)],[c_256,c_70]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,converse(X1)),converse(X2)) = converse(composition(X2,composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_256,c_256]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(X1,converse(X2))) = converse(composition(composition(X2,converse(X1)),X0)),
inference(superposition,[status(thm)],[c_256,c_71]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(X1,converse(X2))) = converse(join(X0,composition(X2,converse(X1)))),
inference(superposition,[status(thm)],[c_256,c_70]) ).
tcf(c_378,plain,
! [X0: $i] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_121,c_90]) ).
tcf(c_379,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_131,c_90]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_90]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_90]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_90]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(X1,converse(X2)),complement(composition(composition(X2,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_256,c_90]) ).
tcf(c_384,plain,
join(complement(top),composition(converse(sk1),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_130,c_90]) ).
tcf(c_385,plain,
! [X0: $i] : join(complement(one),composition(converse(X0),complement(X0))) = complement(one),
inference(superposition,[status(thm)],[c_67,c_90]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_71,c_90]) ).
tcf(c_387,plain,
join(complement(top),composition(converse(iPr_def_11),complement(iPr_def_12))) = complement(top),
inference(superposition,[status(thm)],[c_132,c_90]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
inference(superposition,[status(thm)],[c_90,c_89]) ).
tcf(c_389,plain,
join(zero,composition(converse(iPr_def_11),complement(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_387,c_121]) ).
tcf(c_390,plain,
join(zero,composition(converse(sk1),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_384,c_121,c_131]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_70,c_64]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_73,c_64]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_90,c_64]) ).
tcf(c_426,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_133,c_64]) ).
tcf(c_427,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_234,c_64]) ).
tcf(c_428,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_235,c_64]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),complement(X0))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_239,c_64]) ).
tcf(c_430,plain,
! [X0: $i] : join(zero,join(complement(join(zero,zero)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_262,c_64]) ).
tcf(c_431,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_263,c_64]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = join(converse(top),X1),
inference(superposition,[status(thm)],[c_267,c_64]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_64,c_73]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,converse(X2)))) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_64,c_251]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(join(X0,X1)))))) = converse(top),
inference(superposition,[status(thm)],[c_64,c_267]) ).
tcf(c_467,plain,
! [X0: $i] : composition(sk1,composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_130,c_66]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(superposition,[status(thm)],[c_71,c_66]) ).
tcf(c_470,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_132,c_66]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,one)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_66,c_67]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_90]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(X0,composition(X1,converse(X2)))) = composition(X2,converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_66,c_256]) ).
tcf(c_491,plain,
! [X0: $i] : composition(join(sk1,X0),top) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_130,c_68]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(X3,X2)) = composition(join(composition(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_66,c_68]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),one) = join(X0,composition(X1,one)),
inference(superposition,[status(thm)],[c_67,c_68]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(converse(X1),X2),converse(X0)),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_495,plain,
! [X0: $i] : composition(join(iPr_def_11,X0),top) = join(iPr_def_12,composition(X0,top)),
inference(superposition,[status(thm)],[c_132,c_68]) ).
tcf(c_496,plain,
! [X0: $i] : composition(join(X0,sk1),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_130,c_68]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,composition(X3,X1))) = composition(join(X0,composition(X2,X3)),X1),
inference(superposition,[status(thm)],[c_66,c_68]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),one) = join(composition(X0,one),X1),
inference(superposition,[status(thm)],[c_67,c_68]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X1,X2))) = composition(join(X0,converse(X2)),converse(X1)),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_500,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),top) = join(composition(X0,top),iPr_def_12),
inference(superposition,[status(thm)],[c_132,c_68]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),X3)) = join(composition(join(X0,X2),X1),X3),
inference(superposition,[status(thm)],[c_68,c_64]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[status(thm)],[c_68,c_63]) ).
tcf(c_504,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),top) = join(iPr_def_12,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_500,c_64,c_63]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),one) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_498,c_67]) ).
tcf(c_506,plain,
! [X0: $i] : composition(join(X0,sk1),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_496,c_64,c_63]) ).
tcf(c_555,plain,
! [X0: $i] : join(zero,join(composition(converse(sk1),iPr_def_11),X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_390,c_64]) ).
tcf(c_557,plain,
! [X0: $i] : join(zero,join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_389,c_64]) ).
tcf(c_559,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_63,c_426]) ).
tcf(c_561,plain,
join(iPr_def_13,complement(iPr_def_12)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_73,c_426]) ).
tcf(c_562,plain,
join(iPr_def_13,converse(complement(converse(iPr_def_12)))) = join(iPr_def_11,converse(top)),
inference(superposition,[status(thm)],[c_267,c_426]) ).
tcf(c_566,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_12),X0)) = join(join(iPr_def_11,top),X0),
inference(superposition,[status(thm)],[c_561,c_64]) ).
tcf(c_567,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_12),X0)) = join(iPr_def_11,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_566,c_64,c_63]) ).
tcf(c_569,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c_63,c_427]) ).
tcf(c_571,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_73,c_427]) ).
tcf(c_572,plain,
! [X0: $i] : join(top,complement(join(complement(X0),complement(X0)))) = join(top,X0),
inference(superposition,[status(thm)],[c_239,c_427]) ).
tcf(c_573,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_262,c_427]) ).
tcf(c_574,plain,
join(top,complement(join(iPr_def_11,iPr_def_11))) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_263,c_427]) ).
tcf(c_575,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(superposition,[status(thm)],[c_267,c_427]) ).
tcf(c_576,plain,
join(top,composition(converse(iPr_def_11),complement(iPr_def_12))) = join(top,zero),
inference(superposition,[status(thm)],[c_389,c_427]) ).
tcf(c_577,plain,
join(top,composition(converse(sk1),iPr_def_11)) = join(top,zero),
inference(superposition,[status(thm)],[c_390,c_427]) ).
tcf(c_579,plain,
join(top,composition(converse(sk1),iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_577,c_234]) ).
tcf(c_580,plain,
join(top,complement(join(iPr_def_11,iPr_def_11))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_574,c_64,c_63]) ).
tcf(c_581,plain,
join(top,composition(converse(iPr_def_11),complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_576,c_234]) ).
tcf(c_596,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(join(top,top),X0),
inference(superposition,[status(thm)],[c_571,c_64]) ).
tcf(c_597,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(top,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_596,c_64,c_63]) ).
tcf(c_599,plain,
! [X0: $i] : join(top,join(composition(converse(sk1),iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_579,c_64]) ).
tcf(c_605,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = join(top,X0),
inference(superposition,[status(thm)],[c_63,c_428]) ).
tcf(c_607,plain,
join(top,complement(iPr_def_11)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_73,c_428]) ).
tcf(c_608,plain,
join(top,iPr_def_12) = join(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_133,c_428]) ).
tcf(c_609,plain,
join(top,converse(complement(converse(iPr_def_11)))) = join(iPr_def_10,converse(top)),
inference(superposition,[status(thm)],[c_267,c_428]) ).
tcf(c_610,plain,
! [X0: $i] : join(top,join(iPr_def_12,X0)) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_426,c_428]) ).
tcf(c_612,plain,
join(iPr_def_10,iPr_def_13) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_608,c_64,c_63]) ).
tcf(c_613,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(iPr_def_12,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_610,c_64,c_63]) ).
tcf(c_639,plain,
join(iPr_def_11,join(iPr_def_10,iPr_def_13)) = join(iPr_def_13,top),
inference(superposition,[status(thm)],[c_612,c_426]) ).
tcf(c_640,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_13)) = join(iPr_def_13,top),
inference(theory_normalisation,[status(thm)],[c_639,c_64,c_63]) ).
tcf(c_642,plain,
! [X0: $i] : join(top,join(complement(iPr_def_11),X0)) = join(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_607,c_64]) ).
tcf(c_643,plain,
! [X0: $i] : join(top,join(complement(iPr_def_11),X0)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_642,c_64,c_63]) ).
tcf(c_645,plain,
composition(sk1,top) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_467]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(sk1,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_467,c_68]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] : composition(sk1,composition(composition(top,X0),X1)) = composition(composition(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_467,c_66]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_10,X1)) = composition(join(X0,sk1),composition(top,X1)),
inference(superposition,[status(thm)],[c_467,c_68]) ).
tcf(c_649,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(sk1),complement(composition(iPr_def_10,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_467,c_90]) ).
tcf(c_650,plain,
composition(iPr_def_10,one) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_645,c_130]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(X1,sk1),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_648,c_64,c_63]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,composition(one,X1))) = composition(join(X0,X2),composition(one,X1)),
inference(superposition,[status(thm)],[c_468,c_68]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,composition(composition(one,X1),X2)) = composition(composition(X0,X1),X2),
inference(superposition,[status(thm)],[c_468,c_66]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,composition(X1,composition(one,X2))) = composition(composition(X0,X1),X2),
inference(superposition,[status(thm)],[c_468,c_66]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(one,X1)),composition(X2,X1)) = composition(join(X0,X2),composition(one,X1)),
inference(superposition,[status(thm)],[c_468,c_68]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] : join(complement(composition(one,X0)),composition(converse(X1),complement(composition(X1,X0)))) = complement(composition(one,X0)),
inference(superposition,[status(thm)],[c_468,c_90]) ).
tcf(c_662,plain,
! [X0: $i] : composition(sk1,composition(top,X0)) = composition(iPr_def_10,composition(one,X0)),
inference(superposition,[status(thm)],[c_468,c_467]) ).
tcf(c_663,plain,
! [X0: $i] : composition(iPr_def_10,composition(one,X0)) = composition(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_662,c_467]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,X1),composition(one,X2)) = composition(join(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_660,c_468,c_502]) ).
tcf(c_678,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_67,c_470]) ).
tcf(c_679,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,composition(one,X0)),
inference(superposition,[status(thm)],[c_468,c_470]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(iPr_def_11,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_470,c_68]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i] : composition(iPr_def_11,composition(composition(top,X0),X1)) = composition(composition(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_470,c_66]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_12,X1)) = composition(join(X0,iPr_def_11),composition(top,X1)),
inference(superposition,[status(thm)],[c_470,c_68]) ).
tcf(c_683,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(iPr_def_11),complement(composition(iPr_def_12,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_470,c_90]) ).
tcf(c_684,plain,
composition(iPr_def_12,one) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_678,c_132]) ).
tcf(c_685,plain,
! [X0: $i] : composition(iPr_def_12,composition(one,X0)) = composition(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_679,c_470]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(X1,iPr_def_11),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_682,c_64,c_63]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(X2,composition(X3,X1))) = join(X2,composition(join(X0,X3),X1)),
inference(superposition,[status(thm)],[c_68,c_209]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = join(X1,converse(join(X0,X2))),
inference(superposition,[status(thm)],[c_70,c_209]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_73,c_209]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))) = join(X2,X0),
inference(superposition,[status(thm)],[c_89,c_209]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_90,c_209]) ).
tcf(c_724,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_133,c_209]) ).
tcf(c_725,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_234,c_209]) ).
tcf(c_726,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = join(X0,top),
inference(superposition,[status(thm)],[c_235,c_209]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(join(complement(X1),complement(X1))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_239,c_209]) ).
tcf(c_728,plain,
! [X0: $i] : join(zero,join(X0,complement(join(zero,zero)))) = join(X0,top),
inference(superposition,[status(thm)],[c_262,c_209]) ).
tcf(c_729,plain,
! [X0: $i] : join(zero,join(X0,complement(join(iPr_def_11,iPr_def_11)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_263,c_209]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X0))))) = join(X1,converse(top)),
inference(superposition,[status(thm)],[c_267,c_209]) ).
tcf(c_731,plain,
! [X0: $i] : join(zero,join(X0,composition(converse(iPr_def_11),complement(iPr_def_12)))) = join(X0,zero),
inference(superposition,[status(thm)],[c_389,c_209]) ).
tcf(c_732,plain,
! [X0: $i] : join(zero,join(X0,composition(converse(sk1),iPr_def_11))) = join(X0,zero),
inference(superposition,[status(thm)],[c_390,c_209]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(X0,join(iPr_def_13,X1)),
inference(superposition,[status(thm)],[c_426,c_209]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(zero,X1))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_427,c_209]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_428,c_209]) ).
tcf(c_736,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_13)) = join(iPr_def_12,join(X0,top)),
inference(superposition,[status(thm)],[c_612,c_209]) ).
tcf(c_737,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = join(X0,join(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_561,c_209]) ).
tcf(c_738,plain,
! [X0: $i] : join(top,join(X0,complement(zero))) = join(X0,join(top,top)),
inference(superposition,[status(thm)],[c_571,c_209]) ).
tcf(c_739,plain,
! [X0: $i] : join(top,join(X0,composition(converse(sk1),iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_579,c_209]) ).
tcf(c_740,plain,
! [X0: $i] : join(top,join(X0,complement(iPr_def_11))) = join(X0,join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_607,c_209]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_209,c_89]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(zero,X1))) = join(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_209,c_427]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_209,c_428]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(converse(X1),X2))) = join(X1,converse(join(X0,X2))),
inference(superposition,[status(thm)],[c_209,c_250]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(iPr_def_13,join(X0,X1)),
inference(superposition,[status(thm)],[c_209,c_426]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(iPr_def_13,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_559]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(X0,join(iPr_def_13,X1)),
inference(superposition,[status(thm)],[c_559,c_209]) ).
tcf(c_849,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_559,c_209]) ).
tcf(c_851,plain,
! [X0: $i] : join(X0,iPr_def_13) = join(iPr_def_13,X0),
inference(light_normalisation,[status(thm)],[c_849,c_133]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = join(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_569]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_569,c_209]) ).
tcf(c_865,plain,
! [X0: $i] : join(X0,join(top,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c_569,c_209]) ).
tcf(c_866,plain,
! [X0: $i] : join(X0,top) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_865,c_234]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = join(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_605]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_605,c_209]) ).
tcf(c_879,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_11)) = join(top,X0),
inference(superposition,[status(thm)],[c_605,c_209]) ).
tcf(c_883,plain,
! [X0: $i] : join(top,join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_581,c_64]) ).
tcf(c_884,plain,
! [X0: $i] : join(top,join(X0,composition(converse(iPr_def_11),complement(iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_581,c_209]) ).
tcf(c_892,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_63,c_724]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(X0,join(X1,iPr_def_13)),
inference(superposition,[status(thm)],[c_724,c_209]) ).
tcf(c_899,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_724,c_209]) ).
tcf(c_900,plain,
! [X0: $i] : join(top,join(X0,iPr_def_12)) = join(iPr_def_10,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_724,c_428]) ).
tcf(c_904,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_13)) = join(iPr_def_12,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_900,c_64,c_63]) ).
tcf(c_914,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_63,c_725]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_725,c_209]) ).
tcf(c_921,plain,
! [X0: $i] : join(X0,join(top,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_725,c_209]) ).
tcf(c_947,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_63,c_726]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_726,c_209]) ).
tcf(c_954,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_11)) = join(X0,top),
inference(superposition,[status(thm)],[c_726,c_209]) ).
tcf(c_969,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),X1)) = join(join(X0,iPr_def_13),X1),
inference(superposition,[status(thm)],[c_892,c_64]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(X0,join(X1,iPr_def_13)),
inference(superposition,[status(thm)],[c_892,c_209]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,X1))) = join(X0,join(iPr_def_13,X1)),
inference(theory_normalisation,[status(thm)],[c_969,c_64,c_63]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] : join(top,join(join(zero,X0),X1)) = join(join(X0,top),X1),
inference(superposition,[status(thm)],[c_914,c_64]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(zero,X1))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_914,c_209]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i] : join(top,join(zero,join(X0,X1))) = join(X0,join(top,X1)),
inference(theory_normalisation,[status(thm)],[c_997,c_64,c_63]) ).
tcf(c_1033,plain,
! [X0: $i] : join(join(iPr_def_12,X0),top) = join(iPr_def_10,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_892,c_947]) ).
tcf(c_1034,plain,
! [X0: $i] : join(join(iPr_def_12,X0),top) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_426,c_947]) ).
tcf(c_1035,plain,
! [X0: $i] : join(join(X0,iPr_def_12),top) = join(iPr_def_10,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_724,c_947]) ).
tcf(c_1036,plain,
! [X0: $i] : join(join(X0,iPr_def_12),top) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_559,c_947]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),X1)) = join(join(X0,top),X1),
inference(superposition,[status(thm)],[c_947,c_64]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_947,c_209]) ).
tcf(c_1043,plain,
! [X0: $i] : join(X0,join(iPr_def_12,top)) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(theory_normalisation,[status(thm)],[c_1036,c_64,c_63]) ).
tcf(c_1044,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_13)) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(light_normalisation,[status(thm)],[c_1043,c_612]) ).
tcf(c_1045,plain,
! [X0: $i] : join(X0,join(iPr_def_12,top)) = join(iPr_def_10,join(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_1035,c_64,c_63]) ).
tcf(c_1046,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_13)) = join(iPr_def_10,join(X0,iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_1045,c_612]) ).
tcf(c_1047,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(iPr_def_12,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_1034,c_64,c_63]) ).
tcf(c_1048,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_13)) = join(iPr_def_12,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_1033,c_64,c_63]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,X1))) = join(X0,join(top,X1)),
inference(theory_normalisation,[status(thm)],[c_1037,c_64,c_63]) ).
tcf(c_1055,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_67,c_257]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i] : composition(converse(converse(X0)),X1) = converse(converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_71,c_257]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i] : composition(converse(composition(one,X0)),X1) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_468,c_257]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),X1),converse(complement(composition(converse(X1),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_257,c_267]) ).
tcf(c_1067,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),converse(X2)) = converse(join(composition(converse(X1),X0),X2)),
inference(superposition,[status(thm)],[c_257,c_70]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_90]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(converse(X0),X1),converse(X2)) = converse(composition(X2,composition(converse(X1),X0))),
inference(superposition,[status(thm)],[c_257,c_256]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(converse(X1),X2)) = converse(composition(composition(converse(X2),X1),X0)),
inference(superposition,[status(thm)],[c_257,c_71]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
inference(superposition,[status(thm)],[c_257,c_70]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] : composition(converse(converse(X0)),X1) = composition(X0,converse(converse(X1))),
inference(superposition,[status(thm)],[c_257,c_256]) ).
tcf(c_1075,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1055,c_69]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i] : composition(X0,converse(converse(X1))) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_1074,c_69]) ).
tcf(c_1078,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(composition(converse(X0),X1),X2)) = composition(converse(composition(X1,X2)),X0),
inference(light_normalisation,[status(thm)],[c_1072,c_469]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(superposition,[status(thm)],[c_1075,c_68]) ).
tcf(c_1109,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_1075,c_67]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(one)),X1) = join(composition(X0,X1),X1),
inference(superposition,[status(thm)],[c_1075,c_68]) ).
tcf(c_1111,plain,
! [X0: $i] : converse(composition(X0,one)) = converse(X0),
inference(superposition,[status(thm)],[c_1075,c_71]) ).
tcf(c_1112,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1075,c_90]) ).
tcf(c_1113,plain,
! [X0: $i] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1075,c_90]) ).
tcf(c_1114,plain,
! [X0: $i] : composition(X0,converse(converse(one))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1075,c_256]) ).
tcf(c_1115,plain,
! [X0: $i] : composition(converse(X0),one) = converse(X0),
inference(superposition,[status(thm)],[c_1075,c_257]) ).
tcf(c_1116,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1075,c_468]) ).
tcf(c_1118,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1116,c_1075]) ).
tcf(c_1119,plain,
! [X0: $i] : composition(X0,converse(converse(one))) = X0,
inference(light_normalisation,[status(thm)],[c_1114,c_69]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(one)),X1) = join(X1,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_1110,c_64,c_63]) ).
tcf(c_1152,plain,
join(one,converse(complement(one))) = converse(top),
inference(superposition,[status(thm)],[c_1109,c_267]) ).
tcf(c_1155,plain,
! [X0: $i] : join(one,converse(X0)) = converse(join(one,X0)),
inference(superposition,[status(thm)],[c_1109,c_70]) ).
tcf(c_1156,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1109,c_90]) ).
tcf(c_1157,plain,
! [X0: $i] : composition(one,converse(X0)) = converse(composition(X0,one)),
inference(superposition,[status(thm)],[c_1109,c_256]) ).
tcf(c_1159,plain,
! [X0: $i] : composition(converse(X0),one) = converse(composition(one,X0)),
inference(superposition,[status(thm)],[c_1109,c_71]) ).
tcf(c_1160,plain,
! [X0: $i] : join(converse(X0),one) = converse(join(X0,one)),
inference(superposition,[status(thm)],[c_1109,c_70]) ).
tcf(c_1161,plain,
! [X0: $i] : join(one,converse(X0)) = converse(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_1160,c_64,c_63]) ).
tcf(c_1164,plain,
! [X0: $i] : composition(one,converse(X0)) = converse(X0),
inference(light_normalisation,[status(thm)],[c_1157,c_67]) ).
tcf(c_1165,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1156,c_1118]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1118,c_68]) ).
tcf(c_1196,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),X1) = composition(join(X0,one),X1),
inference(superposition,[status(thm)],[c_1118,c_68]) ).
tcf(c_1197,plain,
! [X0: $i] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_90]) ).
tcf(c_1198,plain,
! [X0: $i] : composition(X0,converse(one)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1118,c_256]) ).
tcf(c_1201,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
inference(theory_normalisation,[status(thm)],[c_1196,c_64,c_63]) ).
tcf(c_1204,plain,
! [X0: $i] : join(complement(join(X0,zero)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_63,c_218]) ).
tcf(c_1207,plain,
join(complement(top),complement(join(zero,complement(complement(zero))))) = top,
inference(superposition,[status(thm)],[c_73,c_218]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(zero,X1))),complement(join(zero,complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_209,c_218]) ).
tcf(c_1209,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(complement(X0),complement(X0))))))) = top,
inference(superposition,[status(thm)],[c_239,c_218]) ).
tcf(c_1210,plain,
join(complement(top),complement(join(zero,complement(complement(join(zero,zero)))))) = top,
inference(superposition,[status(thm)],[c_262,c_218]) ).
tcf(c_1211,plain,
join(complement(iPr_def_10),complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_263,c_218]) ).
tcf(c_1212,plain,
join(complement(converse(top)),complement(join(zero,complement(converse(complement(converse(zero))))))) = top,
inference(superposition,[status(thm)],[c_267,c_218]) ).
tcf(c_1213,plain,
join(complement(zero),complement(join(zero,complement(composition(converse(iPr_def_11),complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_389,c_218]) ).
tcf(c_1214,plain,
join(complement(zero),complement(join(zero,complement(composition(converse(sk1),iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_390,c_218]) ).
tcf(c_1215,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_73,c_218]) ).
tcf(c_1216,plain,
! [X0: $i] : join(complement(join(zero,join(complement(X0),complement(X0)))),complement(X0)) = top,
inference(superposition,[status(thm)],[c_239,c_218]) ).
tcf(c_1217,plain,
join(complement(join(zero,join(zero,zero))),complement(top)) = top,
inference(superposition,[status(thm)],[c_262,c_218]) ).
tcf(c_1218,plain,
join(complement(join(zero,join(iPr_def_11,iPr_def_11))),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_263,c_218]) ).
tcf(c_1219,plain,
join(complement(join(zero,top)),complement(join(zero,zero))) = top,
inference(superposition,[status(thm)],[c_121,c_218]) ).
tcf(c_1220,plain,
join(complement(join(zero,iPr_def_10)),complement(join(zero,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_131,c_218]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i] : join(complement(join(zero,X0)),join(complement(join(zero,complement(X0))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_218,c_64]) ).
tcf(c_1223,plain,
! [X0: $i] : join(complement(join(complement(join(zero,X0)),join(zero,complement(X0)))),complement(top)) = join(zero,X0),
inference(superposition,[status(thm)],[c_218,c_89]) ).
tcf(c_1224,plain,
! [X0: $i] : join(complement(top),complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))) = join(zero,X0),
inference(superposition,[status(thm)],[c_218,c_89]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i] : join(complement(join(zero,X0)),join(X1,complement(join(zero,complement(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_218,c_209]) ).
tcf(c_1226,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_1215,c_64,c_63]) ).
tcf(c_1228,plain,
join(complement(join(iPr_def_10,zero)),complement(join(iPr_def_11,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_1220,c_64,c_63]) ).
tcf(c_1229,plain,
join(complement(join(top,zero)),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_1219,c_64,c_63]) ).
tcf(c_1231,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(iPr_def_11,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_1218,c_64,c_63]) ).
tcf(c_1232,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_1231,c_131]) ).
tcf(c_1233,plain,
join(complement(top),complement(join(zero,join(zero,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_1217,c_64,c_63]) ).
tcf(c_1234,plain,
join(zero,complement(join(zero,join(zero,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_1233,c_121]) ).
tcf(c_1235,plain,
join(zero,complement(join(zero,complement(complement(zero))))) = top,
inference(light_normalisation,[status(thm)],[c_1207,c_121]) ).
tcf(c_1236,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,join(complement(X0),complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1216,c_64,c_63]) ).
tcf(c_1237,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_1211,c_131]) ).
tcf(c_1238,plain,
join(zero,complement(join(zero,complement(complement(join(zero,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_1210,c_121]) ).
tcf(c_1239,plain,
! [X0: $i] : join(complement(top),complement(join(zero,join(complement(X0),complement(join(zero,X0)))))) = join(zero,X0),
inference(theory_normalisation,[status(thm)],[c_1223,c_64,c_63]) ).
tcf(c_1240,plain,
! [X0: $i] : join(zero,complement(join(zero,join(complement(X0),complement(join(zero,X0)))))) = join(zero,X0),
inference(light_normalisation,[status(thm)],[c_1239,c_121]) ).
tcf(c_1241,plain,
! [X0: $i] : join(zero,complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))) = join(zero,X0),
inference(light_normalisation,[status(thm)],[c_1224,c_121]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,X1))) = converse(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_209,c_1155]) ).
tcf(c_1294,plain,
join(one,converse(converse(complement(converse(one))))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_267,c_1155]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i] : converse(composition(join(one,converse(X0)),X1)) = composition(converse(X1),join(one,X0)),
inference(superposition,[status(thm)],[c_1155,c_257]) ).
tcf(c_1296,plain,
! [X0: $i] : join(join(one,X0),converse(complement(join(one,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_1155,c_267]) ).
tcf(c_1297,plain,
! [X0: $i,X1: $i] : converse(join(join(one,converse(X0)),X1)) = join(join(one,X0),converse(X1)),
inference(superposition,[status(thm)],[c_1155,c_250]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(one,X0))),
inference(superposition,[status(thm)],[c_1155,c_71]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i] : join(join(one,converse(X0)),converse(X1)) = converse(join(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_1155,c_70]) ).
tcf(c_1300,plain,
! [X0: $i] : converse(join(one,converse(X0))) = join(one,X0),
inference(superposition,[status(thm)],[c_1155,c_69]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(one,converse(X1)),complement(composition(join(one,X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_90]) ).
tcf(c_1302,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(one,converse(X1)))) = composition(join(one,X1),converse(X0)),
inference(superposition,[status(thm)],[c_1155,c_256]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(converse(X0),join(one,X1)),
inference(superposition,[status(thm)],[c_1155,c_251]) ).
tcf(c_1304,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(one,converse(X1))) = converse(composition(join(one,X1),X0)),
inference(superposition,[status(thm)],[c_1155,c_71]) ).
tcf(c_1305,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(one,converse(X1))) = converse(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_1155,c_70]) ).
tcf(c_1306,plain,
! [X0: $i] : join(one,converse(converse(X0))) = join(converse(one),X0),
inference(superposition,[status(thm)],[c_1155,c_251]) ).
tcf(c_1308,plain,
join(one,converse(converse(complement(one)))) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_1294,c_1109]) ).
tcf(c_1309,plain,
! [X0: $i] : join(one,join(X0,converse(complement(join(one,converse(X0)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1296,c_64,c_63]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_1305,c_64,c_63]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(one,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_1303,c_64,c_63]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(one,join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_1299,c_64,c_63]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] : converse(join(one,join(converse(X0),X1))) = join(one,join(X0,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_1297,c_64,c_63]) ).
tcf(c_1342,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,X1))) = converse(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_64,c_1161]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i] : converse(composition(join(one,converse(X0)),X1)) = composition(converse(X1),join(X0,one)),
inference(superposition,[status(thm)],[c_1161,c_257]) ).
tcf(c_1344,plain,
! [X0: $i] : join(join(X0,one),converse(complement(join(one,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_1161,c_267]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i] : converse(join(join(one,converse(X0)),X1)) = join(join(X0,one),converse(X1)),
inference(superposition,[status(thm)],[c_1161,c_250]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,one))),
inference(superposition,[status(thm)],[c_1161,c_71]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i] : join(join(one,converse(X0)),converse(X1)) = converse(join(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_1161,c_70]) ).
tcf(c_1348,plain,
! [X0: $i] : converse(join(one,converse(X0))) = join(X0,one),
inference(superposition,[status(thm)],[c_1161,c_69]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(one,converse(X1)),complement(composition(join(X1,one),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_90]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(one,converse(X1)))) = composition(join(X1,one),converse(X0)),
inference(superposition,[status(thm)],[c_1161,c_256]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(one,converse(X1))) = converse(composition(join(X1,one),X0)),
inference(superposition,[status(thm)],[c_1161,c_71]) ).
tcf(c_1353,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(one,converse(X1))) = converse(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_1161,c_70]) ).
tcf(c_1354,plain,
! [X0: $i] : join(one,converse(converse(X0))) = join(X0,converse(one)),
inference(superposition,[status(thm)],[c_1161,c_250]) ).
tcf(c_1355,plain,
! [X0: $i] : join(X0,one) = join(one,X0),
inference(light_normalisation,[status(thm)],[c_1354,c_69,c_1109]) ).
tcf(c_1356,plain,
! [X0: $i] : join(X0,join(one,converse(complement(join(one,converse(X0)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1344,c_64,c_63]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_1353,c_64,c_63]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_1347,c_64,c_63]) ).
tcf(c_1360,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = join(one,converse(join(X0,X1))),
inference(light_normalisation,[status(thm)],[c_1359,c_1293]) ).
tcf(c_1361,plain,
! [X0: $i,X1: $i] : converse(join(one,join(converse(X0),X1))) = join(X0,join(one,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_1345,c_64,c_63]) ).
tcf(c_1399,plain,
! [X0: $i] : join(one,join(converse(complement(one)),X0)) = join(converse(top),X0),
inference(superposition,[status(thm)],[c_1152,c_64]) ).
tcf(c_1400,plain,
! [X0: $i] : join(one,join(X0,converse(complement(one)))) = join(X0,converse(top)),
inference(superposition,[status(thm)],[c_1152,c_209]) ).
tcf(c_1402,plain,
join(converse(one),complement(one)) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1152,c_251]) ).
tcf(c_1404,plain,
join(complement(one),converse(one)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_1402,c_64,c_63]) ).
tcf(c_1405,plain,
join(complement(one),one) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_1404,c_1109]) ).
tcf(c_1406,plain,
join(one,complement(one)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_1405,c_64,c_63]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,converse(X2)))) = join(X2,converse(join(X0,X1))),
inference(superposition,[status(thm)],[c_64,c_264]) ).
tcf(c_1415,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = converse(converse(join(X1,X0))),
inference(superposition,[status(thm)],[c_70,c_264]) ).
tcf(c_1419,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(X2)) = converse(join(X2,join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_250,c_264]) ).
tcf(c_1421,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(X2)) = converse(join(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_251,c_264]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(X2)) = converse(join(X2,composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_256,c_264]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),converse(X2)) = converse(join(X2,composition(converse(X1),X0))),
inference(superposition,[status(thm)],[c_257,c_264]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(join(X1,one),converse(X0)),
inference(superposition,[status(thm)],[c_1161,c_264]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(X1,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_264,c_267]) ).
tcf(c_1431,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(X2)) = converse(join(join(X1,converse(X0)),X2)),
inference(superposition,[status(thm)],[c_264,c_70]) ).
tcf(c_1433,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(X2)) = converse(join(X2,join(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_264,c_264]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(X2)),complement(composition(join(X2,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_90]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_264,c_256]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(X2))) = converse(composition(join(X2,converse(X1)),X0)),
inference(superposition,[status(thm)],[c_264,c_71]) ).
tcf(c_1438,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(X0,join(X2,converse(X1)))),
inference(superposition,[status(thm)],[c_264,c_70]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = join(X1,converse(converse(X0))),
inference(superposition,[status(thm)],[c_264,c_250]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_1439,c_69]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(X1,converse(X0)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1428,c_64,c_63]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(X1,join(one,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_1426,c_64,c_63]) ).
tcf(c_1448,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(X2))) = converse(join(X2,join(X1,converse(X0)))),
inference(theory_normalisation,[status(thm)],[c_1433,c_64,c_63]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(X2))) = converse(join(X1,join(converse(X0),X2))),
inference(theory_normalisation,[status(thm)],[c_1431,c_64,c_63]) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(X2))) = converse(join(X2,join(converse(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_1421,c_64,c_63]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(X2,join(X0,converse(X1)))),
inference(theory_normalisation,[status(thm)],[c_1419,c_64,c_63]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,converse(X2)))) = join(X2,converse(join(X1,X0))),
inference(light_normalisation,[status(thm)],[c_1453,c_720]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = converse(converse(join(X1,X0))),
inference(superposition,[status(thm)],[c_70,c_312]) ).
tcf(c_1477,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(converse(X1),X2))) = join(converse(join(X0,X2)),X1),
inference(superposition,[status(thm)],[c_209,c_312]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(join(X1,converse(X2)),X0)),
inference(superposition,[status(thm)],[c_250,c_312]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_251,c_312]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(X1,converse(X2))) = converse(join(composition(X2,converse(X1)),X0)),
inference(superposition,[status(thm)],[c_256,c_312]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),X2)) = converse(join(composition(converse(X2),X1),X0)),
inference(superposition,[status(thm)],[c_257,c_312]) ).
tcf(c_1489,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(join(converse(X2),X1),X0)),
inference(superposition,[status(thm)],[c_312,c_312]) ).
tcf(c_1491,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(converse(X1),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_312,c_267]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(X2)) = converse(join(join(converse(X1),X0),X2)),
inference(superposition,[status(thm)],[c_312,c_70]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(X2)) = converse(join(X2,join(converse(X1),X0))),
inference(superposition,[status(thm)],[c_312,c_264]) ).
tcf(c_1497,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),X2),complement(composition(join(converse(X2),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_90]) ).
tcf(c_1498,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),X1),converse(X2)) = converse(composition(X2,join(converse(X1),X0))),
inference(superposition,[status(thm)],[c_312,c_256]) ).
tcf(c_1500,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),X2)) = converse(composition(join(converse(X2),X1),X0)),
inference(superposition,[status(thm)],[c_312,c_71]) ).
tcf(c_1501,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(X0,join(converse(X2),X1))),
inference(superposition,[status(thm)],[c_312,c_70]) ).
tcf(c_1504,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = join(converse(converse(X1)),X0),
inference(superposition,[status(thm)],[c_312,c_251]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(converse(X1),X0))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1491,c_64,c_63]) ).
tcf(c_1517,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(X2,join(converse(X1),X0))),
inference(theory_normalisation,[status(thm)],[c_1496,c_64,c_63]) ).
tcf(c_1518,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(converse(X1),X2))) = join(X1,converse(join(X2,X0))),
inference(light_normalisation,[status(thm)],[c_1517,c_720]) ).
tcf(c_1519,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(converse(X1),join(X0,X2))),
inference(theory_normalisation,[status(thm)],[c_1494,c_64,c_63]) ).
tcf(c_1520,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(X0),join(X1,X2))) = join(X0,converse(join(X1,X2))),
inference(light_normalisation,[status(thm)],[c_1519,c_720]) ).
tcf(c_1523,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(converse(X2),join(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_1489,c_64,c_63]) ).
tcf(c_1524,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(X0),join(X1,X2))) = join(converse(join(X2,X1)),X0),
inference(light_normalisation,[status(thm)],[c_1523,c_422]) ).
tcf(c_1525,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = converse(join(converse(X1),join(X2,X0))),
inference(theory_normalisation,[status(thm)],[c_1483,c_64,c_63]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(X0),join(X1,X2))) = join(X0,converse(join(X2,X1))),
inference(light_normalisation,[status(thm)],[c_1525,c_720]) ).
tcf(c_1529,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = converse(join(X1,join(converse(X2),X0))),
inference(theory_normalisation,[status(thm)],[c_1481,c_64,c_63]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(converse(X1),X2))) = join(converse(join(X2,X0)),X1),
inference(light_normalisation,[status(thm)],[c_1529,c_422]) ).
tcf(c_1584,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(superposition,[status(thm)],[c_63,c_423]) ).
tcf(c_1587,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_73,c_423]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
inference(superposition,[status(thm)],[c_89,c_423]) ).
tcf(c_1589,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(X0),complement(composition(X0,X1)))) = join(X1,complement(X1)),
inference(superposition,[status(thm)],[c_90,c_423]) ).
tcf(c_1590,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(top,join(X1,X2)),
inference(superposition,[status(thm)],[c_209,c_423]) ).
tcf(c_1591,plain,
! [X0: $i] : join(top,complement(join(zero,complement(X0)))) = join(join(zero,X0),top),
inference(superposition,[status(thm)],[c_218,c_423]) ).
tcf(c_1592,plain,
! [X0: $i] : join(top,converse(complement(converse(complement(X0))))) = join(X0,converse(top)),
inference(superposition,[status(thm)],[c_267,c_423]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = join(top,X2),
inference(superposition,[status(thm)],[c_423,c_64]) ).
tcf(c_1599,plain,
! [X0: $i,X1: $i] : join(top,join(complement(complement(X0)),X1)) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_423,c_423]) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))) = X1,
inference(superposition,[status(thm)],[c_423,c_89]) ).
tcf(c_1601,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(X1,join(top,X2)),
inference(superposition,[status(thm)],[c_423,c_209]) ).
tcf(c_1602,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(zero,complement(join(complement(zero),X0))))) = top,
inference(superposition,[status(thm)],[c_423,c_218]) ).
tcf(c_1603,plain,
! [X0: $i] : join(join(complement(zero),X0),top) = join(top,join(top,X0)),
inference(superposition,[status(thm)],[c_423,c_914]) ).
tcf(c_1605,plain,
! [X0: $i] : join(join(complement(iPr_def_11),X0),top) = join(iPr_def_10,join(top,X0)),
inference(superposition,[status(thm)],[c_423,c_947]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = converse(join(top,X1)),
inference(superposition,[status(thm)],[c_423,c_250]) ).
tcf(c_1609,plain,
! [X0: $i] : join(join(complement(iPr_def_12),X0),iPr_def_13) = join(iPr_def_11,join(top,X0)),
inference(superposition,[status(thm)],[c_423,c_892]) ).
tcf(c_1612,plain,
join(iPr_def_13,complement(iPr_def_11)) = join(top,iPr_def_12),
inference(superposition,[status(thm)],[c_423,c_559]) ).
tcf(c_1614,plain,
join(top,complement(top)) = join(top,zero),
inference(superposition,[status(thm)],[c_423,c_569]) ).
tcf(c_1616,plain,
join(top,complement(iPr_def_10)) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_423,c_605]) ).
tcf(c_1617,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_423,c_1155]) ).
tcf(c_1618,plain,
join(top,complement(iPr_def_10)) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1616,c_64,c_63]) ).
tcf(c_1619,plain,
join(top,iPr_def_11) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_1618,c_131]) ).
tcf(c_1625,plain,
join(iPr_def_13,complement(iPr_def_11)) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_1612,c_64,c_63]) ).
tcf(c_1626,plain,
join(iPr_def_13,complement(iPr_def_11)) = join(iPr_def_10,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_1625,c_612]) ).
tcf(c_1639,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = join(iPr_def_11,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_1609,c_64,c_63]) ).
tcf(c_1640,plain,
! [X0: $i] : join(top,join(X0,complement(iPr_def_11))) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_1605,c_64,c_63]) ).
tcf(c_1641,plain,
! [X0: $i] : join(top,join(X0,complement(zero))) = join(top,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_1603,c_64,c_63]) ).
tcf(c_1643,plain,
! [X0: $i] : join(top,complement(join(zero,complement(X0)))) = join(top,join(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_1591,c_64,c_63]) ).
tcf(c_1644,plain,
! [X0: $i] : join(top,complement(join(zero,complement(X0)))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_1643,c_725]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(X0,join(X1,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_1588,c_64,c_63]) ).
tcf(c_1647,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(X1,top),
inference(light_normalisation,[status(thm)],[c_1646,c_721]) ).
tcf(c_1677,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_11),X0)) = join(join(iPr_def_10,iPr_def_13),X0),
inference(superposition,[status(thm)],[c_1626,c_64]) ).
tcf(c_1678,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_11))) = join(X0,join(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_1626,c_209]) ).
tcf(c_1680,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_11),X0)) = join(iPr_def_10,join(iPr_def_13,X0)),
inference(theory_normalisation,[status(thm)],[c_1677,c_64,c_63]) ).
tcf(c_1695,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_63,c_219]) ).
tcf(c_1698,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_73,c_219]) ).
tcf(c_1699,plain,
join(complement(iPr_def_13),complement(join(iPr_def_11,complement(iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_133,c_219]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,X1))),complement(join(iPr_def_11,complement(join(X0,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_219]) ).
tcf(c_1701,plain,
join(complement(converse(top)),complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_267,c_219]) ).
tcf(c_1702,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(join(complement(iPr_def_11),X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_423,c_219]) ).
tcf(c_1703,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_13)),complement(join(iPr_def_11,complement(join(iPr_def_12,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_892,c_219]) ).
tcf(c_1704,plain,
! [X0: $i] : join(complement(join(iPr_def_13,X0)),complement(join(iPr_def_11,complement(join(iPr_def_12,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_426,c_219]) ).
tcf(c_1705,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_13)),complement(join(iPr_def_11,complement(join(X0,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_724,c_219]) ).
tcf(c_1706,plain,
! [X0: $i] : join(complement(join(iPr_def_13,X0)),complement(join(iPr_def_11,complement(join(X0,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_559,c_219]) ).
tcf(c_1707,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_73,c_219]) ).
tcf(c_1708,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_121,c_219]) ).
tcf(c_1709,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_131,c_219]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_219,c_64]) ).
tcf(c_1712,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,X0)),join(iPr_def_11,complement(X0)))),complement(iPr_def_10)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_219,c_89]) ).
tcf(c_1713,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(join(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_219,c_423]) ).
tcf(c_1714,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_219,c_89]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_11,complement(X0))))) = join(X1,iPr_def_10),
inference(superposition,[status(thm)],[c_219,c_209]) ).
tcf(c_1716,plain,
join(complement(top),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1707,c_64,c_63]) ).
tcf(c_1718,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1709,c_64,c_63]) ).
tcf(c_1720,plain,
join(zero,complement(join(iPr_def_11,complement(complement(iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1698,c_121]) ).
tcf(c_1721,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_1713,c_64,c_63]) ).
tcf(c_1722,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_1721,c_726]) ).
tcf(c_1723,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_1712,c_64,c_63]) ).
tcf(c_1724,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_1723,c_131]) ).
tcf(c_1725,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_1714,c_131]) ).
tcf(c_1764,plain,
! [X0: $i,X1: $i] : join(top,join(X0,complement(complement(X1)))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_1587,c_209]) ).
tcf(c_1784,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),join(composition(X2,X1),complement(composition(join(X0,X2),X1)))) = top,
inference(superposition,[status(thm)],[c_68,c_433]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(converse(X1),complement(converse(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_70,c_433]) ).
tcf(c_1786,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_73,c_433]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_89,c_433]) ).
tcf(c_1788,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_90,c_433]) ).
tcf(c_1789,plain,
join(iPr_def_11,join(iPr_def_12,complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_133,c_433]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,X2),complement(join(X1,join(X0,X2))))) = top,
inference(superposition,[status(thm)],[c_209,c_433]) ).
tcf(c_1791,plain,
! [X0: $i] : join(complement(join(zero,X0)),join(complement(join(zero,complement(X0))),complement(top))) = top,
inference(superposition,[status(thm)],[c_218,c_433]) ).
tcf(c_1792,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(X0))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_219,c_433]) ).
tcf(c_1793,plain,
join(top,join(zero,complement(top))) = top,
inference(superposition,[status(thm)],[c_234,c_433]) ).
tcf(c_1794,plain,
join(iPr_def_10,join(iPr_def_11,complement(top))) = top,
inference(superposition,[status(thm)],[c_235,c_433]) ).
tcf(c_1795,plain,
! [X0: $i] : join(zero,join(complement(join(complement(X0),complement(X0))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_239,c_433]) ).
tcf(c_1796,plain,
join(zero,join(complement(join(zero,zero)),complement(top))) = top,
inference(superposition,[status(thm)],[c_262,c_433]) ).
tcf(c_1797,plain,
join(zero,join(complement(join(iPr_def_11,iPr_def_11)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_263,c_433]) ).
tcf(c_1798,plain,
! [X0: $i] : join(X0,join(converse(complement(converse(X0))),complement(converse(top)))) = top,
inference(superposition,[status(thm)],[c_267,c_433]) ).
tcf(c_1799,plain,
join(zero,join(composition(converse(iPr_def_11),complement(iPr_def_12)),complement(zero))) = top,
inference(superposition,[status(thm)],[c_389,c_433]) ).
tcf(c_1800,plain,
join(zero,join(composition(converse(sk1),iPr_def_11),complement(zero))) = top,
inference(superposition,[status(thm)],[c_390,c_433]) ).
tcf(c_1802,plain,
! [X0: $i,X1: $i] : join(X0,join(join(complement(X0),X1),complement(join(top,X1)))) = top,
inference(superposition,[status(thm)],[c_423,c_433]) ).
tcf(c_1803,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),complement(join(X0,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_892,c_433]) ).
tcf(c_1804,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_426,c_433]) ).
tcf(c_1805,plain,
! [X0: $i] : join(top,join(join(zero,X0),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_914,c_433]) ).
tcf(c_1806,plain,
! [X0: $i] : join(top,join(join(zero,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_427,c_433]) ).
tcf(c_1807,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_947,c_433]) ).
tcf(c_1808,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_428,c_433]) ).
tcf(c_1809,plain,
join(iPr_def_12,join(top,complement(join(iPr_def_10,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_612,c_433]) ).
tcf(c_1810,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),complement(join(X0,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_724,c_433]) ).
tcf(c_1811,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_559,c_433]) ).
tcf(c_1812,plain,
join(iPr_def_13,join(complement(iPr_def_12),complement(join(iPr_def_11,top)))) = top,
inference(superposition,[status(thm)],[c_561,c_433]) ).
tcf(c_1813,plain,
! [X0: $i] : join(top,join(join(X0,zero),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_725,c_433]) ).
tcf(c_1815,plain,
join(top,join(complement(zero),complement(join(top,top)))) = top,
inference(superposition,[status(thm)],[c_571,c_433]) ).
tcf(c_1816,plain,
join(top,join(composition(converse(iPr_def_11),complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_581,c_433]) ).
tcf(c_1817,plain,
join(top,join(composition(converse(sk1),iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_579,c_433]) ).
tcf(c_1818,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_726,c_433]) ).
tcf(c_1819,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_605,c_433]) ).
tcf(c_1820,plain,
join(top,join(complement(iPr_def_11),complement(join(iPr_def_10,top)))) = top,
inference(superposition,[status(thm)],[c_607,c_433]) ).
tcf(c_1821,plain,
join(one,join(converse(complement(one)),complement(converse(top)))) = top,
inference(superposition,[status(thm)],[c_1152,c_433]) ).
tcf(c_1822,plain,
join(iPr_def_13,join(complement(iPr_def_11),complement(join(iPr_def_10,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_1626,c_433]) ).
tcf(c_1823,plain,
! [X0: $i] : join(top,join(complement(complement(X0)),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_1587,c_433]) ).
tcf(c_1824,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(join(X0,X1))),complement(top))) = top,
inference(superposition,[status(thm)],[c_433,c_433]) ).
tcf(c_1828,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(join(X0,X1),X2))))) = top,
inference(superposition,[status(thm)],[c_433,c_64]) ).
tcf(c_1829,plain,
! [X0: $i,X1: $i] : join(top,join(X0,complement(join(complement(X1),X0)))) = join(X1,top),
inference(superposition,[status(thm)],[c_433,c_423]) ).
tcf(c_1830,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))) = X0,
inference(superposition,[status(thm)],[c_433,c_89]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,X2))))) = join(X1,top),
inference(superposition,[status(thm)],[c_433,c_209]) ).
tcf(c_1832,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X1,X0)))) = top,
inference(superposition,[status(thm)],[c_433,c_209]) ).
tcf(c_1833,plain,
! [X0: $i] : join(complement(top),complement(join(zero,complement(join(X0,complement(join(zero,X0))))))) = top,
inference(superposition,[status(thm)],[c_433,c_218]) ).
tcf(c_1834,plain,
! [X0: $i] : join(join(X0,complement(join(zero,X0))),top) = join(top,top),
inference(superposition,[status(thm)],[c_433,c_914]) ).
tcf(c_1835,plain,
! [X0: $i] : join(top,join(X0,complement(join(zero,X0)))) = join(top,top),
inference(superposition,[status(thm)],[c_433,c_427]) ).
tcf(c_1836,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(X0,complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_433,c_219]) ).
tcf(c_1837,plain,
! [X0: $i] : join(join(X0,complement(join(iPr_def_11,X0))),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_433,c_947]) ).
tcf(c_1838,plain,
! [X0: $i] : join(top,join(X0,complement(join(iPr_def_11,X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_433,c_428]) ).
tcf(c_1840,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(join(converse(X0),X1))))) = converse(top),
inference(superposition,[status(thm)],[c_433,c_250]) ).
tcf(c_1841,plain,
! [X0: $i] : join(top,complement(join(X0,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_433,c_423]) ).
tcf(c_1842,plain,
! [X0: $i] : join(join(X0,complement(join(iPr_def_12,X0))),iPr_def_13) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_433,c_892]) ).
tcf(c_1843,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(join(iPr_def_12,X0)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_433,c_426]) ).
tcf(c_1845,plain,
join(iPr_def_13,complement(join(iPr_def_11,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_433,c_426]) ).
tcf(c_1847,plain,
join(top,complement(join(top,zero))) = top,
inference(superposition,[status(thm)],[c_433,c_427]) ).
tcf(c_1849,plain,
join(top,complement(join(iPr_def_10,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_433,c_428]) ).
tcf(c_1850,plain,
! [X0: $i] : join(one,converse(join(X0,complement(join(one,X0))))) = converse(top),
inference(superposition,[status(thm)],[c_433,c_1155]) ).
tcf(c_1858,plain,
join(iPr_def_13,complement(iPr_def_13)) = top,
inference(light_normalisation,[status(thm)],[c_1845,c_133]) ).
tcf(c_1861,plain,
join(iPr_def_10,join(iPr_def_11,zero)) = top,
inference(light_normalisation,[status(thm)],[c_1794,c_121]) ).
tcf(c_1862,plain,
join(top,join(zero,zero)) = top,
inference(light_normalisation,[status(thm)],[c_1793,c_121]) ).
tcf(c_1870,plain,
! [X0: $i] : join(X0,join(complement(X0),zero)) = top,
inference(light_normalisation,[status(thm)],[c_1786,c_121]) ).
tcf(c_1871,plain,
! [X0: $i] : join(X0,join(zero,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_1870,c_64,c_63]) ).
tcf(c_1872,plain,
join(one,join(complement(converse(top)),converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_1821,c_64,c_63]) ).
tcf(c_1873,plain,
join(top,join(complement(top),composition(converse(sk1),iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_1817,c_64,c_63]) ).
tcf(c_1875,plain,
join(zero,join(complement(zero),composition(converse(sk1),iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_1800,c_64,c_63]) ).
tcf(c_1876,plain,
join(zero,join(complement(iPr_def_10),complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_1797,c_64,c_63]) ).
tcf(c_1877,plain,
join(zero,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_1876,c_131]) ).
tcf(c_1878,plain,
join(iPr_def_11,join(zero,complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_1877,c_64,c_63]) ).
tcf(c_1879,plain,
join(iPr_def_11,iPr_def_10) = top,
inference(light_normalisation,[status(thm)],[c_1878,c_263]) ).
tcf(c_1881,plain,
join(zero,join(complement(top),complement(join(zero,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_1796,c_64,c_63]) ).
tcf(c_1882,plain,
join(zero,top) = top,
inference(light_normalisation,[status(thm)],[c_1881,c_121,c_262]) ).
tcf(c_1884,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(join(iPr_def_12,X0)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1842,c_64,c_63]) ).
tcf(c_1885,plain,
! [X0: $i] : join(X0,join(top,complement(join(iPr_def_11,X0)))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_1837,c_64,c_63]) ).
tcf(c_1886,plain,
! [X0: $i] : join(X0,join(top,complement(join(zero,X0)))) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_1834,c_64,c_63]) ).
tcf(c_1887,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1819,c_64,c_63]) ).
tcf(c_1888,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(X0,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_1818,c_64,c_63]) ).
tcf(c_1889,plain,
join(top,join(complement(top),composition(converse(iPr_def_11),complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_1816,c_64,c_63]) ).
tcf(c_1892,plain,
! [X0: $i] : join(top,join(X0,join(zero,complement(join(X0,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_1813,c_64,c_63]) ).
tcf(c_1893,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1811,c_64,c_63]) ).
tcf(c_1894,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,complement(join(X0,iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_1810,c_64,c_63]) ).
tcf(c_1895,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1808,c_64,c_63]) ).
tcf(c_1896,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(X0,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_1807,c_64,c_63]) ).
tcf(c_1897,plain,
! [X0: $i] : join(top,join(zero,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1806,c_64,c_63]) ).
tcf(c_1898,plain,
! [X0: $i] : join(top,join(zero,join(X0,complement(join(X0,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_1805,c_64,c_63]) ).
tcf(c_1899,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1804,c_64,c_63]) ).
tcf(c_1900,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,complement(join(X0,iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_1803,c_64,c_63]) ).
tcf(c_1901,plain,
join(zero,join(complement(zero),composition(converse(iPr_def_11),complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_1799,c_64,c_63]) ).
tcf(c_1902,plain,
! [X0: $i] : join(X0,join(complement(converse(top)),converse(complement(converse(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1798,c_64,c_63]) ).
tcf(c_1904,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(top),complement(join(X0,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_1824,c_64,c_63]) ).
tcf(c_1905,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,complement(join(X0,X1))))) = top,
inference(light_normalisation,[status(thm)],[c_1904,c_121]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(X1,complement(join(top,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_1802,c_64,c_63]) ).
tcf(c_1909,plain,
! [X0: $i] : join(zero,join(complement(X0),complement(join(complement(X0),complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1795,c_64,c_63]) ).
tcf(c_1910,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,join(X1,X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_1828,c_64,c_63]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X1,join(X0,X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_1790,c_64,c_63]) ).
tcf(c_1916,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,complement(join(X0,complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1836,c_121]) ).
tcf(c_1917,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(join(X0,complement(join(zero,X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_1833,c_121]) ).
tcf(c_1918,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1792,c_64,c_63]) ).
tcf(c_1921,plain,
! [X0: $i] : join(complement(top),join(complement(join(zero,X0)),complement(join(zero,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1791,c_64,c_63]) ).
tcf(c_1924,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(complement(X0)),composition(converse(X1),complement(composition(X1,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1788,c_64,c_63]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))) = X0,
inference(light_normalisation,[status(thm)],[c_1830,c_121]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_1787,c_64,c_63]) ).
tcf(c_1927,plain,
! [X0: $i] : join(complement(X0),X0) = top,
inference(light_normalisation,[status(thm)],[c_1926,c_89]) ).
tcf(c_2107,plain,
join(top,join(complement(join(zero,zero)),complement(join(top,top)))) = top,
inference(superposition,[status(thm)],[c_573,c_433]) ).
tcf(c_2108,plain,
! [X0: $i] : join(top,join(complement(join(zero,zero)),X0)) = join(join(top,top),X0),
inference(superposition,[status(thm)],[c_573,c_64]) ).
tcf(c_2109,plain,
! [X0: $i] : join(top,join(X0,complement(join(zero,zero)))) = join(X0,join(top,top)),
inference(superposition,[status(thm)],[c_573,c_209]) ).
tcf(c_2111,plain,
join(top,join(complement(join(top,top)),complement(join(zero,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_2107,c_64,c_63]) ).
tcf(c_2112,plain,
! [X0: $i] : join(top,join(complement(join(zero,zero)),X0)) = join(top,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2108,c_64,c_63]) ).
tcf(c_2117,plain,
join(top,join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,top)))) = top,
inference(superposition,[status(thm)],[c_580,c_433]) ).
tcf(c_2118,plain,
! [X0: $i] : join(top,join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_580,c_64]) ).
tcf(c_2119,plain,
! [X0: $i] : join(top,join(X0,complement(join(iPr_def_11,iPr_def_11)))) = join(X0,join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_580,c_209]) ).
tcf(c_2121,plain,
join(top,join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_2117,c_64,c_63]) ).
tcf(c_2122,plain,
! [X0: $i] : join(top,join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2118,c_64,c_63]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[status(thm)],[c_63,c_721]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),complement(X1)),X0) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_89,c_721]) ).
tcf(c_2139,plain,
! [X0: $i] : join(complement(join(zero,X0)),top) = join(join(zero,complement(X0)),top),
inference(superposition,[status(thm)],[c_218,c_721]) ).
tcf(c_2140,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),top) = join(join(iPr_def_11,complement(X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_219,c_721]) ).
tcf(c_2141,plain,
! [X0: $i] : join(join(complement(X0),complement(X0)),X0) = join(zero,top),
inference(superposition,[status(thm)],[c_239,c_721]) ).
tcf(c_2142,plain,
join(join(zero,zero),top) = join(zero,top),
inference(superposition,[status(thm)],[c_262,c_721]) ).
tcf(c_2143,plain,
join(join(iPr_def_11,iPr_def_11),iPr_def_10) = join(zero,top),
inference(superposition,[status(thm)],[c_263,c_721]) ).
tcf(c_2144,plain,
join(iPr_def_12,join(iPr_def_11,top)) = join(iPr_def_13,top),
inference(superposition,[status(thm)],[c_561,c_721]) ).
tcf(c_2145,plain,
join(zero,join(top,top)) = join(top,top),
inference(superposition,[status(thm)],[c_571,c_721]) ).
tcf(c_2146,plain,
join(join(zero,zero),join(top,top)) = join(top,top),
inference(superposition,[status(thm)],[c_573,c_721]) ).
tcf(c_2147,plain,
join(join(iPr_def_11,iPr_def_11),join(iPr_def_10,top)) = join(top,top),
inference(superposition,[status(thm)],[c_580,c_721]) ).
tcf(c_2148,plain,
join(iPr_def_11,join(iPr_def_10,top)) = join(top,top),
inference(superposition,[status(thm)],[c_607,c_721]) ).
tcf(c_2153,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(X0)),complement(join(X1,top)))) = top,
inference(superposition,[status(thm)],[c_721,c_433]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,X1))))) = join(X2,top),
inference(superposition,[status(thm)],[c_721,c_64]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i] : join(top,join(X0,complement(complement(X1)))) = join(X1,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_423]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,top)),complement(join(complement(X1),complement(join(X0,complement(complement(X1))))))) = X1,
inference(superposition,[status(thm)],[c_721,c_89]) ).
tcf(c_2160,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = join(X1,join(X2,top)),
inference(superposition,[status(thm)],[c_721,c_209]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_721,c_209]) ).
tcf(c_2162,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(zero,complement(join(X0,complement(zero)))))) = top,
inference(superposition,[status(thm)],[c_721,c_218]) ).
tcf(c_2163,plain,
! [X0: $i] : join(join(X0,complement(zero)),top) = join(top,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_914]) ).
tcf(c_2164,plain,
! [X0: $i] : join(top,join(X0,complement(zero))) = join(top,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_427]) ).
tcf(c_2165,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_721,c_219]) ).
tcf(c_2166,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_11)),top) = join(iPr_def_10,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_947]) ).
tcf(c_2167,plain,
! [X0: $i] : join(top,join(X0,complement(iPr_def_11))) = join(iPr_def_10,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_428]) ).
tcf(c_2169,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(X0))))) = converse(join(X1,top)),
inference(superposition,[status(thm)],[c_721,c_250]) ).
tcf(c_2171,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),iPr_def_13) = join(iPr_def_11,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_892]) ).
tcf(c_2172,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = join(iPr_def_11,join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_426]) ).
tcf(c_2179,plain,
! [X0: $i] : join(one,converse(join(X0,complement(one)))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_721,c_1155]) ).
tcf(c_2197,plain,
join(iPr_def_10,join(iPr_def_11,top)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_2148,c_64,c_63]) ).
tcf(c_2198,plain,
join(top,join(top,zero)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_2145,c_64,c_63]) ).
tcf(c_2200,plain,
join(iPr_def_11,join(iPr_def_12,top)) = join(iPr_def_13,top),
inference(theory_normalisation,[status(thm)],[c_2144,c_64,c_63]) ).
tcf(c_2201,plain,
join(iPr_def_11,join(iPr_def_10,iPr_def_13)) = join(iPr_def_13,top),
inference(light_normalisation,[status(thm)],[c_2200,c_612]) ).
tcf(c_2203,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_11)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_2143,c_64,c_63]) ).
tcf(c_2204,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_2203,c_234]) ).
tcf(c_2205,plain,
join(top,join(zero,zero)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_2142,c_64,c_63]) ).
tcf(c_2208,plain,
join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,top))) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_2147,c_64,c_63]) ).
tcf(c_2209,plain,
join(top,join(top,join(zero,zero))) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_2146,c_64,c_63]) ).
tcf(c_2210,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(X0))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_2141,c_64,c_63]) ).
tcf(c_2211,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(X0))) = top,
inference(light_normalisation,[status(thm)],[c_2210,c_234]) ).
tcf(c_2212,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(iPr_def_12))) = join(iPr_def_11,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2171,c_64,c_63]) ).
tcf(c_2213,plain,
! [X0: $i] : join(X0,join(iPr_def_11,top)) = join(iPr_def_11,join(X0,top)),
inference(light_normalisation,[status(thm)],[c_2212,c_561]) ).
tcf(c_2214,plain,
! [X0: $i] : join(X0,join(top,complement(iPr_def_11))) = join(iPr_def_10,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2166,c_64,c_63]) ).
tcf(c_2215,plain,
! [X0: $i] : join(X0,join(iPr_def_10,top)) = join(iPr_def_10,join(X0,top)),
inference(light_normalisation,[status(thm)],[c_2214,c_607]) ).
tcf(c_2216,plain,
! [X0: $i] : join(X0,join(top,complement(zero))) = join(top,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2163,c_64,c_63]) ).
tcf(c_2217,plain,
! [X0: $i] : join(X0,join(top,top)) = join(top,join(X0,top)),
inference(light_normalisation,[status(thm)],[c_2216,c_571]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),complement(join(X1,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_2153,c_64,c_63]) ).
tcf(c_2220,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,X0))) = join(iPr_def_10,join(iPr_def_11,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_2140,c_64,c_63]) ).
tcf(c_2221,plain,
! [X0: $i] : join(top,complement(join(zero,X0))) = join(top,join(zero,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_2139,c_64,c_63]) ).
tcf(c_2224,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_2138,c_64,c_63]) ).
tcf(c_2276,plain,
join(iPr_def_11,top) = top,
inference(demodulation,[status(thm)],[c_2204,c_947]) ).
tcf(c_2277,plain,
join(iPr_def_13,complement(iPr_def_12)) = top,
inference(demodulation,[status(thm)],[c_561,c_2276]) ).
tcf(c_2278,plain,
join(iPr_def_11,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_2276,c_433]) ).
tcf(c_2279,plain,
! [X0: $i] : join(iPr_def_11,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2276,c_64]) ).
tcf(c_2280,plain,
! [X0: $i] : join(iPr_def_11,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_2276,c_209]) ).
tcf(c_2282,plain,
join(complement(top),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2276,c_219]) ).
tcf(c_2283,plain,
join(top,top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2276,c_947]) ).
tcf(c_2286,plain,
join(zero,complement(join(iPr_def_11,zero))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2282,c_121]) ).
tcf(c_2287,plain,
join(top,complement(join(zero,zero))) = join(iPr_def_10,top),
inference(demodulation,[status(thm)],[c_573,c_2283]) ).
tcf(c_2288,plain,
join(top,complement(zero)) = join(iPr_def_10,top),
inference(demodulation,[status(thm)],[c_571,c_2283]) ).
tcf(c_2295,plain,
join(iPr_def_13,join(complement(iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_2277,c_433]) ).
tcf(c_2296,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2277,c_64]) ).
tcf(c_2297,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_2277,c_209]) ).
tcf(c_2299,plain,
join(iPr_def_12,top) = join(iPr_def_13,top),
inference(superposition,[status(thm)],[c_2277,c_721]) ).
tcf(c_2300,plain,
join(iPr_def_10,iPr_def_13) = join(iPr_def_13,top),
inference(light_normalisation,[status(thm)],[c_2299,c_612]) ).
tcf(c_2301,plain,
join(iPr_def_13,join(complement(iPr_def_12),zero)) = top,
inference(light_normalisation,[status(thm)],[c_2295,c_121]) ).
tcf(c_2302,plain,
join(iPr_def_13,join(zero,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_2301,c_64,c_63]) ).
tcf(c_2318,plain,
join(top,join(top,complement(join(iPr_def_10,top)))) = top,
inference(superposition,[status(thm)],[c_2283,c_433]) ).
tcf(c_2319,plain,
! [X0: $i] : join(join(iPr_def_10,top),X0) = join(top,join(top,X0)),
inference(superposition,[status(thm)],[c_2283,c_64]) ).
tcf(c_2320,plain,
! [X0: $i] : join(X0,join(iPr_def_10,top)) = join(top,join(X0,top)),
inference(superposition,[status(thm)],[c_2283,c_209]) ).
tcf(c_2322,plain,
! [X0: $i] : join(top,join(top,X0)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2319,c_64,c_63]) ).
tcf(c_2348,plain,
join(iPr_def_13,join(top,complement(join(iPr_def_10,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_2300,c_433]) ).
tcf(c_2349,plain,
! [X0: $i] : join(join(iPr_def_10,iPr_def_13),X0) = join(iPr_def_13,join(top,X0)),
inference(superposition,[status(thm)],[c_2300,c_64]) ).
tcf(c_2350,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_13)) = join(iPr_def_13,join(X0,top)),
inference(superposition,[status(thm)],[c_2300,c_209]) ).
tcf(c_2352,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(iPr_def_13,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2349,c_64,c_63]) ).
tcf(c_2355,plain,
join(zero,join(complement(join(iPr_def_11,zero)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2286,c_433]) ).
tcf(c_2356,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,zero)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2286,c_64]) ).
tcf(c_2357,plain,
! [X0: $i] : join(zero,join(X0,complement(join(iPr_def_11,zero)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2286,c_209]) ).
tcf(c_2359,plain,
join(join(iPr_def_11,zero),iPr_def_10) = join(zero,top),
inference(superposition,[status(thm)],[c_2286,c_721]) ).
tcf(c_2360,plain,
join(complement(iPr_def_10),complement(join(zero,complement(complement(join(iPr_def_11,zero)))))) = top,
inference(superposition,[status(thm)],[c_2286,c_218]) ).
tcf(c_2362,plain,
join(top,complement(join(iPr_def_11,zero))) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_2286,c_427]) ).
tcf(c_2363,plain,
join(complement(join(zero,join(iPr_def_11,zero))),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_2286,c_218]) ).
tcf(c_2365,plain,
join(iPr_def_10,join(iPr_def_11,zero)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_2359,c_64,c_63]) ).
tcf(c_2367,plain,
join(top,complement(join(iPr_def_11,zero))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_2362,c_64,c_63]) ).
tcf(c_2369,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(zero,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_2363,c_64,c_63]) ).
tcf(c_2370,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_2369,c_131]) ).
tcf(c_2371,plain,
join(zero,join(complement(iPr_def_10),complement(join(iPr_def_11,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_2355,c_64,c_63]) ).
tcf(c_2372,plain,
join(zero,join(iPr_def_11,complement(join(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_2371,c_131]) ).
tcf(c_2373,plain,
join(iPr_def_11,join(zero,complement(join(iPr_def_11,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_2372,c_64,c_63]) ).
tcf(c_2376,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_2360,c_131]) ).
tcf(c_2379,plain,
join(top,join(complement(zero),complement(join(iPr_def_10,top)))) = top,
inference(superposition,[status(thm)],[c_2288,c_433]) ).
tcf(c_2380,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_2288,c_64]) ).
tcf(c_2381,plain,
! [X0: $i] : join(top,join(X0,complement(zero))) = join(X0,join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_2288,c_209]) ).
tcf(c_2383,plain,
join(zero,join(iPr_def_10,top)) = join(top,top),
inference(superposition,[status(thm)],[c_2288,c_721]) ).
tcf(c_2384,plain,
join(iPr_def_10,join(top,zero)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_2383,c_64,c_63]) ).
tcf(c_2386,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2380,c_64,c_63]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(X1,complement(X0))),complement(complement(join(complement(X0),complement(X1))))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_63,c_223]) ).
tcf(c_2394,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(top),complement(complement(join(complement(X0),complement(complement(complement(X0))))))))) = top,
inference(superposition,[status(thm)],[c_73,c_223]) ).
tcf(c_2396,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))))))) = complement(X0),
inference(superposition,[status(thm)],[c_90,c_223]) ).
tcf(c_2397,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(complement(join(X1,join(complement(X0),X2))),complement(complement(join(complement(X0),complement(join(X1,X2)))))))) = join(X1,join(complement(X0),X2)),
inference(superposition,[status(thm)],[c_209,c_223]) ).
tcf(c_2399,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(top),complement(complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0)))))))))) = top,
inference(superposition,[status(thm)],[c_218,c_223]) ).
tcf(c_2400,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_10),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_219,c_223]) ).
tcf(c_2401,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(converse(top)),complement(complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))))))) = converse(top),
inference(superposition,[status(thm)],[c_267,c_223]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(top),complement(complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1)))))))))) = top,
inference(superposition,[status(thm)],[c_433,c_223]) ).
tcf(c_2403,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(top,X1)),complement(complement(join(complement(X0),complement(join(complement(complement(X0)),X1)))))))) = join(top,X1),
inference(superposition,[status(thm)],[c_423,c_223]) ).
tcf(c_2404,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(X1,top)),complement(complement(join(complement(X0),complement(join(X1,complement(complement(X0)))))))))) = join(X1,top),
inference(superposition,[status(thm)],[c_721,c_223]) ).
tcf(c_2407,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X1),complement(X0))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_63,c_223]) ).
tcf(c_2409,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),complement(complement(top))))) = join(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[c_73,c_223]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(complement(X0))))) = join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))),
inference(superposition,[status(thm)],[c_89,c_223]) ).
tcf(c_2412,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(join(complement(join(zero,X0)),join(zero,complement(X0)))),complement(complement(top))))) = join(complement(join(zero,X0)),join(zero,complement(X0))),
inference(superposition,[status(thm)],[c_218,c_223]) ).
tcf(c_2413,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(complement(join(iPr_def_11,X0)),join(iPr_def_11,complement(X0)))),complement(complement(iPr_def_10))))) = join(complement(join(iPr_def_11,X0)),join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_219,c_223]) ).
tcf(c_2416,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),top)),complement(complement(join(complement(X0),zero)))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_121,c_223]) ).
tcf(c_2417,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),iPr_def_10)),complement(complement(join(complement(X0),iPr_def_11)))))) = join(complement(X0),iPr_def_10),
inference(superposition,[status(thm)],[c_131,c_223]) ).
tcf(c_2418,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),complement(join(complement(X0),X1)))) = top,
inference(superposition,[status(thm)],[c_223,c_433]) ).
tcf(c_2419,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),X2)) = join(join(complement(X0),X1),X2),
inference(superposition,[status(thm)],[c_223,c_64]) ).
tcf(c_2421,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),complement(complement(join(complement(X0),X1)))))) = join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(superposition,[status(thm)],[c_223,c_223]) ).
tcf(c_2422,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_223,c_89]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_223,c_223]) ).
tcf(c_2424,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))) = join(X0,join(complement(X0),X1)),
inference(superposition,[status(thm)],[c_223,c_423]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))))))) = X0,
inference(superposition,[status(thm)],[c_223,c_89]) ).
tcf(c_2426,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(complement(join(complement(X0),X2)),complement(complement(join(complement(X0),complement(X2)))))))) = join(X1,join(complement(X0),X2)),
inference(superposition,[status(thm)],[c_223,c_209]) ).
tcf(c_2427,plain,
! [X0: $i,X1: $i] : join(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))),join(complement(X0),X1)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_223,c_721]) ).
tcf(c_2428,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(complement(X0),complement(complement(complement(X0))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2394,c_121]) ).
tcf(c_2429,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(top)),complement(join(complement(X0),complement(X0)))))) = join(complement(X0),complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2409,c_64,c_63]) ).
tcf(c_2430,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(X0)))))) = join(complement(X0),complement(X0)),
inference(light_normalisation,[status(thm)],[c_2429,c_121]) ).
tcf(c_2431,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(iPr_def_10,complement(X0))),complement(complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_10,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2417,c_64,c_63]) ).
tcf(c_2432,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(top,complement(X0))),complement(complement(join(zero,complement(X0))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2416,c_64,c_63]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(zero,complement(complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2402,c_121]) ).
tcf(c_2434,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X1),join(complement(join(complement(X1),X0)),complement(complement(join(complement(X1),complement(X0))))))) = join(top,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_2427,c_64,c_63]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))) = join(X1,top),
inference(light_normalisation,[status(thm)],[c_2424,c_2135]) ).
tcf(c_2436,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2400,c_131]) ).
tcf(c_2437,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2399,c_121]) ).
tcf(c_2438,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_2422,c_64,c_63]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(join(complement(X0),X1)),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_2418,c_64,c_63]) ).
tcf(c_2440,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),X2)) = join(complement(X0),join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_2419,c_64,c_63]) ).
tcf(c_2441,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(complement(iPr_def_10)),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_2413,c_64,c_63]) ).
tcf(c_2442,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_2441,c_131]) ).
tcf(c_2443,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(complement(top)),complement(join(zero,join(complement(X0),complement(join(zero,X0)))))))) = join(zero,join(complement(X0),complement(join(zero,X0)))),
inference(theory_normalisation,[status(thm)],[c_2412,c_64,c_63]) ).
tcf(c_2444,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(zero),complement(join(zero,join(complement(X0),complement(join(zero,X0)))))))) = join(zero,join(complement(X0),complement(join(zero,X0)))),
inference(light_normalisation,[status(thm)],[c_2443,c_121]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(complement(X0)),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))))) = join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))),
inference(theory_normalisation,[status(thm)],[c_2410,c_64,c_63]) ).
tcf(c_2446,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))))))) = join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(theory_normalisation,[status(thm)],[c_2421,c_64,c_63]) ).
tcf(c_2533,plain,
join(iPr_def_11,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_267,c_2279]) ).
tcf(c_2543,plain,
join(iPr_def_11,join(iPr_def_10,top)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_607,c_2279]) ).
tcf(c_2546,plain,
! [X0: $i] : join(iPr_def_11,join(join(top,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_2279,c_433]) ).
tcf(c_2548,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(top,X1))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_2279,c_209]) ).
tcf(c_2550,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(join(top,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2279,c_219]) ).
tcf(c_2551,plain,
! [X0: $i] : join(join(top,X0),top) = join(iPr_def_10,join(top,X0)),
inference(superposition,[status(thm)],[c_2279,c_947]) ).
tcf(c_2553,plain,
join(top,complement(join(iPr_def_11,top))) = top,
inference(superposition,[status(thm)],[c_2279,c_433]) ).
tcf(c_2556,plain,
join(top,complement(iPr_def_11)) = join(top,top),
inference(superposition,[status(thm)],[c_2279,c_721]) ).
tcf(c_2567,plain,
join(iPr_def_10,join(iPr_def_11,top)) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_2543,c_64,c_63]) ).
tcf(c_2573,plain,
! [X0: $i] : join(top,join(X0,top)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_2551,c_64,c_63]) ).
tcf(c_2574,plain,
! [X0: $i] : join(iPr_def_11,join(top,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_2546,c_64,c_63]) ).
tcf(c_2601,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1113,c_1118]) ).
tcf(c_2602,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_239,c_2601]) ).
tcf(c_2606,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_121,c_2601]) ).
tcf(c_2607,plain,
join(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_131,c_2601]) ).
tcf(c_2609,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(X0),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_2601,c_64]) ).
tcf(c_2611,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),X0)),complement(complement(complement(X0)))))) = join(complement(X0),X0),
inference(superposition,[status(thm)],[c_2601,c_223]) ).
tcf(c_2612,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_2601,c_89]) ).
tcf(c_2613,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(complement(X0),complement(complement(X0)))))))) = complement(X0),
inference(superposition,[status(thm)],[c_2601,c_223]) ).
tcf(c_2615,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2601,c_89]) ).
tcf(c_2616,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,complement(X0))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_2601,c_209]) ).
tcf(c_2617,plain,
! [X0: $i] : join(X0,complement(X0)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_2601,c_721]) ).
tcf(c_2618,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2617,c_64,c_63]) ).
tcf(c_2619,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_2618,c_73]) ).
tcf(c_2620,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_2612,c_64,c_63]) ).
tcf(c_2621,plain,
! [X0: $i] : join(complement(complement(X0)),zero) = X0,
inference(light_normalisation,[status(thm)],[c_2620,c_73,c_121]) ).
tcf(c_2623,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(complement(X0))),complement(join(X0,complement(X0)))))) = join(X0,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2611,c_64,c_63]) ).
tcf(c_2624,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(complement(X0))),zero))) = top,
inference(light_normalisation,[status(thm)],[c_2623,c_73,c_121]) ).
tcf(c_2625,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_2624,c_64,c_63]) ).
tcf(c_2626,plain,
join(zero,complement(zero)) = top,
inference(demodulation,[status(thm)],[c_262,c_2606]) ).
tcf(c_2627,plain,
join(zero,complement(iPr_def_11)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_263,c_2607]) ).
tcf(c_2628,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_1587,c_2619]) ).
tcf(c_2635,plain,
! [X0: $i] : join(top,join(X0,zero)) = top,
inference(demodulation,[status(thm)],[c_725,c_2628]) ).
tcf(c_2636,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_721,c_2628]) ).
tcf(c_2638,plain,
join(iPr_def_10,iPr_def_13) = top,
inference(demodulation,[status(thm)],[c_2300,c_2628]) ).
tcf(c_2639,plain,
join(iPr_def_13,complement(iPr_def_11)) = top,
inference(demodulation,[status(thm)],[c_1626,c_2638]) ).
tcf(c_2640,plain,
! [X0: $i] : join(top,X0) = top,
inference(demodulation,[status(thm)],[c_569,c_2635]) ).
tcf(c_2642,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = top,
inference(demodulation,[status(thm)],[c_605,c_2640]) ).
tcf(c_2643,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = top,
inference(demodulation,[status(thm)],[c_428,c_2640]) ).
tcf(c_2645,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_423,c_2640]) ).
tcf(c_2656,plain,
join(zero,join(zero,complement(zero))) = top,
inference(superposition,[status(thm)],[c_2606,c_433]) ).
tcf(c_2657,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2606,c_64]) ).
tcf(c_2658,plain,
! [X0: $i] : join(zero,join(X0,zero)) = join(X0,zero),
inference(superposition,[status(thm)],[c_2606,c_209]) ).
tcf(c_2660,plain,
join(complement(zero),complement(join(zero,complement(zero)))) = top,
inference(superposition,[status(thm)],[c_2606,c_218]) ).
tcf(c_2663,plain,
join(iPr_def_11,join(iPr_def_11,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_2607,c_433]) ).
tcf(c_2664,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_2607,c_64]) ).
tcf(c_2665,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_11)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2607,c_209]) ).
tcf(c_2667,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2607,c_219]) ).
tcf(c_2673,plain,
! [X0: $i] : join(X0,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_2628,c_433]) ).
tcf(c_2674,plain,
! [X0: $i,X1: $i] : join(X0,join(top,X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2628,c_64]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = top,
inference(superposition,[status(thm)],[c_2628,c_64]) ).
tcf(c_2679,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(top),complement(complement(join(complement(X0),complement(top))))))) = top,
inference(superposition,[status(thm)],[c_2628,c_223]) ).
tcf(c_2680,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_2628,c_89]) ).
tcf(c_2681,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = join(X1,top),
inference(superposition,[status(thm)],[c_2628,c_209]) ).
tcf(c_2682,plain,
join(complement(top),complement(join(zero,complement(top)))) = top,
inference(superposition,[status(thm)],[c_2628,c_218]) ).
tcf(c_2684,plain,
! [X0: $i] : join(converse(top),X0) = converse(top),
inference(superposition,[status(thm)],[c_2628,c_312]) ).
tcf(c_2685,plain,
! [X0: $i] : join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_2628,c_250]) ).
tcf(c_2687,plain,
join(iPr_def_11,top) = join(iPr_def_13,top),
inference(superposition,[status(thm)],[c_2628,c_426]) ).
tcf(c_2690,plain,
! [X0: $i] : join(X0,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_2673,c_121]) ).
tcf(c_2692,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_2680,c_121]) ).
tcf(c_2693,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_2692,c_64,c_63]) ).
tcf(c_2694,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(complement(X0),zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_2679,c_121]) ).
tcf(c_2695,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(zero,complement(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_2694,c_64,c_63]) ).
tcf(c_2735,plain,
join(iPr_def_10,join(iPr_def_13,complement(top))) = top,
inference(superposition,[status(thm)],[c_2638,c_433]) ).
tcf(c_2736,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2638,c_64]) ).
tcf(c_2737,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_13)) = join(X0,top),
inference(superposition,[status(thm)],[c_2638,c_209]) ).
tcf(c_2740,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_13)) = top,
inference(light_normalisation,[status(thm)],[c_2737,c_2628]) ).
tcf(c_2741,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = top,
inference(light_normalisation,[status(thm)],[c_2736,c_2640]) ).
tcf(c_2750,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2640,c_64]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = join(X0,top),
inference(superposition,[status(thm)],[c_2640,c_209]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i] : join(X0,join(top,X1)) = top,
inference(superposition,[status(thm)],[c_2640,c_209]) ).
tcf(c_2759,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2640,c_267]) ).
tcf(c_2763,plain,
join(one,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_2640,c_1161]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = top,
inference(light_normalisation,[status(thm)],[c_2755,c_2628]) ).
tcf(c_2766,plain,
join(one,converse(complement(one))) = top,
inference(demodulation,[status(thm)],[c_1152,c_2759]) ).
tcf(c_2767,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_267,c_2759]) ).
tcf(c_2773,plain,
! [X0: $i] : join(top,converse(X0)) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_2759,c_70]) ).
tcf(c_2775,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_90]) ).
tcf(c_2776,plain,
! [X0: $i] : composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_2759,c_256]) ).
tcf(c_2778,plain,
! [X0: $i] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2759,c_71]) ).
tcf(c_2779,plain,
! [X0: $i] : join(converse(X0),top) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_2759,c_70]) ).
tcf(c_2780,plain,
! [X0: $i] : join(top,converse(X0)) = converse(join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2779,c_64,c_63]) ).
tcf(c_2781,plain,
! [X0: $i] : join(top,converse(X0)) = top,
inference(light_normalisation,[status(thm)],[c_2780,c_2628,c_2759]) ).
tcf(c_2796,plain,
join(zero,join(complement(iPr_def_11),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2627,c_433]) ).
tcf(c_2797,plain,
! [X0: $i] : join(zero,join(complement(iPr_def_11),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2627,c_64]) ).
tcf(c_2798,plain,
! [X0: $i] : join(zero,join(X0,complement(iPr_def_11))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2627,c_209]) ).
tcf(c_2800,plain,
join(complement(iPr_def_10),complement(join(zero,complement(complement(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_2627,c_218]) ).
tcf(c_2801,plain,
join(complement(join(zero,iPr_def_11)),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_2627,c_218]) ).
tcf(c_2802,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_2801,c_64,c_63]) ).
tcf(c_2803,plain,
join(iPr_def_11,complement(join(iPr_def_11,zero))) = top,
inference(light_normalisation,[status(thm)],[c_2802,c_131]) ).
tcf(c_2804,plain,
join(zero,join(complement(iPr_def_10),complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_2796,c_64,c_63]) ).
tcf(c_2805,plain,
join(zero,join(iPr_def_11,complement(iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_2804,c_131]) ).
tcf(c_2806,plain,
join(iPr_def_11,join(zero,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_2805,c_64,c_63]) ).
tcf(c_2809,plain,
join(iPr_def_11,complement(join(zero,complement(complement(iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_2800,c_131]) ).
tcf(c_2822,plain,
join(iPr_def_13,join(complement(iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_2639,c_433]) ).
tcf(c_2823,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2639,c_64]) ).
tcf(c_2824,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_2639,c_209]) ).
tcf(c_2826,plain,
join(iPr_def_13,join(complement(iPr_def_11),zero)) = top,
inference(light_normalisation,[status(thm)],[c_2822,c_121]) ).
tcf(c_2827,plain,
join(iPr_def_13,join(zero,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_2826,c_64,c_63]) ).
tcf(c_2828,plain,
join(iPr_def_13,iPr_def_10) = top,
inference(light_normalisation,[status(thm)],[c_2827,c_2627]) ).
tcf(c_2830,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_2824,c_1678,c_2628]) ).
tcf(c_2831,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_2823,c_1680,c_2640]) ).
tcf(c_2837,plain,
! [X0: $i] : join(zero,join(complement(complement(X0)),complement(X0))) = top,
inference(superposition,[status(thm)],[c_2602,c_433]) ).
tcf(c_2838,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(complement(X0)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2602,c_64]) ).
tcf(c_2839,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(complement(X1)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_2602,c_209]) ).
tcf(c_2842,plain,
! [X0: $i] : join(complement(join(zero,complement(X0))),complement(X0)) = top,
inference(superposition,[status(thm)],[c_2602,c_218]) ).
tcf(c_2843,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_2842,c_64,c_63]) ).
tcf(c_2844,plain,
! [X0: $i] : join(zero,join(complement(X0),complement(complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_2837,c_64,c_63]) ).
tcf(c_2873,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_64,c_2642]) ).
tcf(c_2876,plain,
join(iPr_def_10,top) = top,
inference(superposition,[status(thm)],[c_2640,c_2642]) ).
tcf(c_2877,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_2642,c_433]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2642,c_64]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_2642,c_209]) ).
tcf(c_2882,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_2642,c_209]) ).
tcf(c_2884,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_2877,c_64,c_63]) ).
tcf(c_2885,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,zero))) = top,
inference(light_normalisation,[status(thm)],[c_2884,c_121]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_2878,c_64,c_63]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_2643]) ).
tcf(c_2905,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2643,c_64]) ).
tcf(c_2906,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_2643,c_209]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_2905,c_64,c_63]) ).
tcf(c_2914,plain,
join(complement(top),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_73,c_224]) ).
tcf(c_2917,plain,
join(complement(join(iPr_def_10,complement(iPr_def_11))),complement(top)) = iPr_def_11,
inference(superposition,[status(thm)],[c_73,c_224]) ).
tcf(c_2920,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),join(complement(join(iPr_def_11,complement(X0))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_224,c_433]) ).
tcf(c_2921,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,complement(X0))),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_224,c_64]) ).
tcf(c_2923,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(join(complement(join(iPr_def_10,complement(X0))),join(iPr_def_11,complement(X0)))),complement(complement(X0))))) = join(complement(join(iPr_def_10,complement(X0))),join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_224,c_223]) ).
tcf(c_2924,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_10,complement(X0))),join(iPr_def_11,complement(X0)))),complement(X0)) = join(iPr_def_10,complement(X0)),
inference(superposition,[status(thm)],[c_224,c_89]) ).
tcf(c_2925,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(X0),complement(complement(join(complement(join(iPr_def_10,complement(X0))),complement(complement(join(iPr_def_11,complement(X0)))))))))) = X0,
inference(superposition,[status(thm)],[c_224,c_223]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,complement(X0))),join(X1,complement(join(iPr_def_11,complement(X0))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_224,c_209]) ).
tcf(c_2928,plain,
join(complement(top),complement(join(iPr_def_10,complement(iPr_def_11)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2917,c_64,c_63]) ).
tcf(c_2929,plain,
join(zero,complement(join(iPr_def_10,complement(iPr_def_11)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2928,c_121]) ).
tcf(c_2931,plain,
! [X0: $i] : join(complement(X0),join(complement(join(iPr_def_10,complement(X0))),complement(join(iPr_def_11,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_2920,c_64,c_63]) ).
tcf(c_2934,plain,
! [X0: $i] : join(complement(X0),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_10,complement(X0))))))) = join(iPr_def_10,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2924,c_64,c_63]) ).
tcf(c_2935,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(complement(X0)),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_10,complement(X0))))))))) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_10,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_2923,c_64,c_63]) ).
tcf(c_2951,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_2602,c_2657]) ).
tcf(c_2961,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_2602,c_2951]) ).
tcf(c_2962,plain,
complement(iPr_def_11) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2627,c_2951]) ).
tcf(c_2963,plain,
composition(converse(iPr_def_11),complement(iPr_def_12)) = zero,
inference(demodulation,[status(thm)],[c_389,c_2951]) ).
tcf(c_2964,plain,
composition(converse(sk1),iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_390,c_2951]) ).
tcf(c_2965,plain,
complement(join(iPr_def_11,zero)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2286,c_2951]) ).
tcf(c_2978,plain,
join(iPr_def_11,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_133,c_2664]) ).
tcf(c_2983,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_13)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_724,c_2664]) ).
tcf(c_2984,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_13,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_559,c_2664]) ).
tcf(c_2985,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_11,X0),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_2664,c_433]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,X1))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_2664,c_209]) ).
tcf(c_2990,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2664,c_219]) ).
tcf(c_2991,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_2664,c_433]) ).
tcf(c_2993,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_2664,c_559]) ).
tcf(c_2994,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_11,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_2993,c_64,c_63]) ).
tcf(c_3000,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,join(X0,complement(join(iPr_def_11,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_2985,c_64,c_63]) ).
tcf(c_3009,plain,
join(iPr_def_11,join(iPr_def_13,complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_2978,c_433]) ).
tcf(c_3014,plain,
join(complement(iPr_def_13),complement(join(iPr_def_11,complement(iPr_def_13)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2978,c_219]) ).
tcf(c_3022,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_11,iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2962,c_224]) ).
tcf(c_3023,plain,
join(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_2601]) ).
tcf(c_3024,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_219]) ).
tcf(c_3025,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_90]) ).
tcf(c_3027,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_10,complement(X0)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2962,c_89]) ).
tcf(c_3029,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3024,c_64,c_63]) ).
tcf(c_3030,plain,
join(zero,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3029,c_121,c_235,c_2607,c_2962]) ).
tcf(c_3031,plain,
join(iPr_def_10,zero) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3030,c_64,c_63]) ).
tcf(c_3032,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,iPr_def_11))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3022,c_64,c_63]) ).
tcf(c_3033,plain,
join(complement(join(iPr_def_10,iPr_def_10)),zero) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3032,c_121,c_235]) ).
tcf(c_3034,plain,
join(zero,complement(join(iPr_def_10,iPr_def_10))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3033,c_64,c_63]) ).
tcf(c_3045,plain,
! [X0: $i] : join(zero,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_2951,c_433]) ).
tcf(c_3047,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_2951,c_63]) ).
tcf(c_3052,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_2951,c_73]) ).
tcf(c_3053,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2951,c_209]) ).
tcf(c_3054,plain,
! [X0: $i] : join(X0,converse(zero)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_2951,c_264]) ).
tcf(c_3055,plain,
! [X0: $i] : join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_2951,c_251]) ).
tcf(c_3056,plain,
! [X0: $i] : join(X0,complement(join(X0,zero))) = top,
inference(superposition,[status(thm)],[c_2951,c_433]) ).
tcf(c_3057,plain,
! [X0: $i] : join(X0,complement(join(zero,X0))) = top,
inference(superposition,[status(thm)],[c_2951,c_433]) ).
tcf(c_3060,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_2951,c_559]) ).
tcf(c_3061,plain,
join(one,converse(zero)) = converse(one),
inference(superposition,[status(thm)],[c_2951,c_1161]) ).
tcf(c_3063,plain,
join(iPr_def_13,zero) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3060,c_133]) ).
tcf(c_3067,plain,
! [X0: $i] : join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3055,c_69]) ).
tcf(c_3068,plain,
! [X0: $i] : join(X0,converse(zero)) = X0,
inference(light_normalisation,[status(thm)],[c_3054,c_69]) ).
tcf(c_3093,plain,
join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,top))) = zero,
inference(superposition,[status(thm)],[c_3052,c_224]) ).
tcf(c_3094,plain,
join(top,top) = top,
inference(superposition,[status(thm)],[c_3052,c_2601]) ).
tcf(c_3095,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3052,c_219]) ).
tcf(c_3096,plain,
! [X0: $i] : join(top,composition(converse(X0),complement(composition(X0,zero)))) = top,
inference(superposition,[status(thm)],[c_3052,c_90]) ).
tcf(c_3098,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(top,complement(X0)))) = zero,
inference(superposition,[status(thm)],[c_3052,c_89]) ).
tcf(c_3100,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,zero))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3095,c_64,c_63]) ).
tcf(c_3101,plain,
join(complement(join(iPr_def_11,top)),iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3100,c_2965]) ).
tcf(c_3102,plain,
join(iPr_def_10,complement(join(iPr_def_11,top))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3101,c_64,c_63]) ).
tcf(c_3103,plain,
! [X0: $i] : join(zero,complement(join(top,complement(X0)))) = zero,
inference(light_normalisation,[status(thm)],[c_3098,c_121,c_2640]) ).
tcf(c_3111,plain,
complement(iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_2962,c_2961]) ).
tcf(c_3113,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_11,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_224]) ).
tcf(c_3114,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2961,c_2601]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_90]) ).
tcf(c_3118,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_89]) ).
tcf(c_3142,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,zero)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3047,c_64]) ).
tcf(c_3143,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,zero)) = join(X1,X0),
inference(superposition,[status(thm)],[c_3047,c_209]) ).
tcf(c_3158,plain,
! [X0: $i] : join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_3114,c_433]) ).
tcf(c_3159,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_64]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(X0,X1))) = join(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_64]) ).
tcf(c_3163,plain,
! [X0: $i,X1: $i] : composition(join(X0,X0),X1) = composition(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_68]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_3114,c_209]) ).
tcf(c_3165,plain,
! [X0: $i] : converse(join(X0,X0)) = converse(X0),
inference(superposition,[status(thm)],[c_3114,c_70]) ).
tcf(c_3166,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X0,X1),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_209]) ).
tcf(c_3171,plain,
! [X0: $i] : join(X0,converse(converse(X0))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_3114,c_250]) ).
tcf(c_3176,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_3114,c_559]) ).
tcf(c_3177,plain,
join(one,converse(one)) = converse(one),
inference(superposition,[status(thm)],[c_3114,c_1155]) ).
tcf(c_3179,plain,
join(one,one) = one,
inference(light_normalisation,[status(thm)],[c_3177,c_1109]) ).
tcf(c_3180,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_12,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_3176,c_64,c_63]) ).
tcf(c_3181,plain,
join(iPr_def_12,iPr_def_13) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3180,c_133]) ).
tcf(c_3190,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,X1))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_3166,c_64,c_63]) ).
tcf(c_3198,plain,
join(iPr_def_12,join(iPr_def_13,complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_3181,c_433]) ).
tcf(c_3199,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_3181,c_64]) ).
tcf(c_3200,plain,
! [X0: $i] : join(iPr_def_12,join(X0,iPr_def_13)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_3181,c_209]) ).
tcf(c_3202,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_3181,c_892]) ).
tcf(c_3204,plain,
join(iPr_def_13,iPr_def_13) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3202,c_2978]) ).
tcf(c_3213,plain,
! [X0: $i] : composition(join(converse(sk1),X0),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_2964,c_68]) ).
tcf(c_3214,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_2964,c_66]) ).
tcf(c_3215,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_2964,c_68]) ).
tcf(c_3216,plain,
join(complement(iPr_def_11),composition(converse(converse(sk1)),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2964,c_90]) ).
tcf(c_3217,plain,
composition(converse(iPr_def_11),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_2964,c_257]) ).
tcf(c_3218,plain,
join(iPr_def_10,composition(converse(converse(sk1)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3216,c_2962,c_3052]) ).
tcf(c_3219,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_3215,c_64,c_63]) ).
tcf(c_3238,plain,
composition(converse(one),top) = converse(top),
inference(superposition,[status(thm)],[c_67,c_2778]) ).
tcf(c_3239,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),top),X1)) = join(converse(X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_2778,c_312]) ).
tcf(c_3240,plain,
! [X0: $i,X1: $i] : converse(composition(composition(converse(X0),top),X1)) = composition(converse(X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_2778,c_257]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),top),X1)) = join(composition(top,X0),converse(X1)),
inference(superposition,[status(thm)],[c_2778,c_250]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),converse(X1)) = converse(composition(X1,composition(top,X0))),
inference(superposition,[status(thm)],[c_2778,c_71]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),top),converse(X1)) = converse(join(composition(top,X0),X1)),
inference(superposition,[status(thm)],[c_2778,c_70]) ).
tcf(c_3244,plain,
! [X0: $i] : converse(composition(converse(X0),top)) = composition(top,X0),
inference(superposition,[status(thm)],[c_2778,c_69]) ).
tcf(c_3245,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),top))) = join(composition(top,X1),converse(X0)),
inference(superposition,[status(thm)],[c_2778,c_264]) ).
tcf(c_3246,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(converse(X1),top),complement(composition(composition(top,X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_90]) ).
tcf(c_3247,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(converse(X1),top))) = composition(composition(top,X1),converse(X0)),
inference(superposition,[status(thm)],[c_2778,c_256]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),top))) = join(converse(X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_2778,c_251]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(converse(X1),top)) = converse(composition(composition(top,X1),X0)),
inference(superposition,[status(thm)],[c_2778,c_71]) ).
tcf(c_3250,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(converse(X1),top)) = converse(join(X0,composition(top,X1))),
inference(superposition,[status(thm)],[c_2778,c_70]) ).
tcf(c_3251,plain,
! [X0: $i] : composition(converse(converse(X0)),top) = composition(X0,converse(top)),
inference(superposition,[status(thm)],[c_2778,c_256]) ).
tcf(c_3252,plain,
composition(one,top) = top,
inference(light_normalisation,[status(thm)],[c_3238,c_1109,c_2759]) ).
tcf(c_3301,plain,
join(iPr_def_10,join(iPr_def_13,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_426,c_2873]) ).
tcf(c_3307,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_64,c_2873]) ).
tcf(c_3311,plain,
! [X0: $i] : join(iPr_def_10,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_2640,c_2873]) ).
tcf(c_3312,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),complement(top))) = top,
inference(superposition,[status(thm)],[c_2873,c_433]) ).
tcf(c_3313,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_2873,c_64]) ).
tcf(c_3316,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_11)))) = join(X0,top),
inference(superposition,[status(thm)],[c_2873,c_209]) ).
tcf(c_3317,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_2873,c_209]) ).
tcf(c_3319,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_13)) = top,
inference(theory_normalisation,[status(thm)],[c_3301,c_64,c_63]) ).
tcf(c_3322,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_3312,c_64,c_63]) ).
tcf(c_3323,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_3322,c_121]) ).
tcf(c_3325,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_3313,c_64,c_63]) ).
tcf(c_3344,plain,
! [X0: $i] : join(converse(zero),join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_3067,c_433]) ).
tcf(c_3351,plain,
! [X0: $i] : converse(join(zero,X0)) = converse(X0),
inference(superposition,[status(thm)],[c_3067,c_70]) ).
tcf(c_3352,plain,
complement(converse(zero)) = top,
inference(superposition,[status(thm)],[c_3067,c_73]) ).
tcf(c_3353,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(zero),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3067,c_209]) ).
tcf(c_3354,plain,
! [X0: $i] : join(X0,converse(converse(zero))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_3067,c_264]) ).
tcf(c_3355,plain,
! [X0: $i] : join(converse(converse(zero)),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_3067,c_251]) ).
tcf(c_3357,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(X0),
inference(superposition,[status(thm)],[c_3067,c_250]) ).
tcf(c_3358,plain,
! [X0: $i] : join(X0,complement(join(X0,converse(zero)))) = top,
inference(superposition,[status(thm)],[c_3067,c_433]) ).
tcf(c_3359,plain,
! [X0: $i] : join(X0,complement(join(converse(zero),X0))) = top,
inference(superposition,[status(thm)],[c_3067,c_433]) ).
tcf(c_3362,plain,
join(iPr_def_13,converse(zero)) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_3067,c_559]) ).
tcf(c_3363,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_3067,c_3047]) ).
tcf(c_3366,plain,
join(one,converse(converse(zero))) = converse(one),
inference(superposition,[status(thm)],[c_3067,c_1161]) ).
tcf(c_3370,plain,
join(iPr_def_13,converse(zero)) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3362,c_133]) ).
tcf(c_3375,plain,
! [X0: $i] : join(converse(converse(zero)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3355,c_69]) ).
tcf(c_3376,plain,
! [X0: $i] : join(X0,converse(converse(zero))) = X0,
inference(light_normalisation,[status(thm)],[c_3354,c_69]) ).
tcf(c_3377,plain,
join(converse(zero),top) = top,
inference(light_normalisation,[status(thm)],[c_3344,c_73]) ).
tcf(c_3389,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(join(zero,X0)),
inference(superposition,[status(thm)],[c_3363,c_70]) ).
tcf(c_3391,plain,
! [X0: $i] : join(complement(X0),composition(zero,complement(composition(zero,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_90]) ).
tcf(c_3392,plain,
! [X0: $i] : composition(zero,converse(X0)) = converse(composition(X0,zero)),
inference(superposition,[status(thm)],[c_3363,c_256]) ).
tcf(c_3394,plain,
! [X0: $i] : composition(converse(X0),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_3363,c_71]) ).
tcf(c_3395,plain,
! [X0: $i] : join(converse(X0),zero) = converse(join(X0,zero)),
inference(superposition,[status(thm)],[c_3363,c_70]) ).
tcf(c_3396,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(join(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_3395,c_64,c_63]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_64,c_2740]) ).
tcf(c_3435,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_13),complement(top))) = top,
inference(superposition,[status(thm)],[c_2740,c_433]) ).
tcf(c_3436,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_13),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2740,c_64]) ).
tcf(c_3439,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_13))) = join(X0,top),
inference(superposition,[status(thm)],[c_2740,c_209]) ).
tcf(c_3440,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_2740,c_209]) ).
tcf(c_3442,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_3435,c_64,c_63]) ).
tcf(c_3443,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,zero))) = top,
inference(light_normalisation,[status(thm)],[c_3442,c_121]) ).
tcf(c_3445,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_3436,c_64,c_63]) ).
tcf(c_3453,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_2741]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_13,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2741,c_64]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_2741,c_209]) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_13,join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_3460,c_64,c_63]) ).
tcf(c_3498,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(top),complement(top))))) = top,
inference(superposition,[status(thm)],[c_2628,c_226]) ).
tcf(c_3500,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_2961,c_226]) ).
tcf(c_3505,plain,
! [X0: $i] : join(top,complement(join(top,join(complement(X0),complement(join(top,X0)))))) = join(top,X0),
inference(superposition,[status(thm)],[c_3052,c_226]) ).
tcf(c_3511,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(zero,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_3498,c_121]) ).
tcf(c_3513,plain,
! [X0: $i] : join(top,complement(join(top,join(complement(X0),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_3505,c_121,c_2640]) ).
tcf(c_3528,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(join(X0,X2),X1)) = composition(join(X0,X2),X1),
inference(superposition,[status(thm)],[c_68,c_3159]) ).
tcf(c_3529,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(join(X0,X1))) = converse(join(X0,X1)),
inference(superposition,[status(thm)],[c_70,c_3159]) ).
tcf(c_3542,plain,
join(iPr_def_13,top) = top,
inference(superposition,[status(thm)],[c_2277,c_3159]) ).
tcf(c_3549,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X0,X1),complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_3159,c_433]) ).
tcf(c_3552,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(join(X0,X1),X2))) = join(join(X0,X1),X2),
inference(superposition,[status(thm)],[c_3159,c_64]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X0,X2))) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_3159,c_209]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(converse(X0),X1))) = converse(join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_3159,c_250]) ).
tcf(c_3557,plain,
! [X0: $i] : join(X0,complement(join(X0,X0))) = top,
inference(superposition,[status(thm)],[c_3159,c_433]) ).
tcf(c_3560,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_13,join(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_3159,c_426]) ).
tcf(c_3568,plain,
! [X0: $i] : join(one,converse(join(one,X0))) = converse(join(one,X0)),
inference(superposition,[status(thm)],[c_3159,c_1155]) ).
tcf(c_3574,plain,
! [X0: $i] : join(one,join(one,converse(X0))) = join(one,converse(X0)),
inference(light_normalisation,[status(thm)],[c_3568,c_1155]) ).
tcf(c_3575,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_12,join(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_3560,c_64,c_63]) ).
tcf(c_3579,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,complement(join(X0,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_3549,c_64,c_63]) ).
tcf(c_3581,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),X0)) = join(converse(X1),X0),
inference(light_normalisation,[status(thm)],[c_3556,c_312]) ).
tcf(c_3585,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X0,join(X1,X2)))) = join(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_3552,c_64,c_63]) ).
tcf(c_3600,plain,
join(iPr_def_12,top) = top,
inference(superposition,[status(thm)],[c_433,c_3199]) ).
tcf(c_3605,plain,
! [X0: $i] : join(iPr_def_12,join(join(iPr_def_13,X0),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_3199,c_433]) ).
tcf(c_3607,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(iPr_def_13,X1))) = join(X0,join(iPr_def_13,X1)),
inference(superposition,[status(thm)],[c_3199,c_209]) ).
tcf(c_3609,plain,
join(iPr_def_13,complement(join(iPr_def_12,iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_3199,c_433]) ).
tcf(c_3610,plain,
! [X0: $i] : join(join(iPr_def_13,X0),iPr_def_13) = join(iPr_def_11,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_3199,c_892]) ).
tcf(c_3611,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_13,X0)) = join(iPr_def_13,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_3199,c_426]) ).
tcf(c_3616,plain,
! [X0: $i] : join(iPr_def_13,join(iPr_def_13,X0)) = join(iPr_def_13,X0),
inference(light_normalisation,[status(thm)],[c_3611,c_2984]) ).
tcf(c_3617,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_13,X0)) = join(iPr_def_13,join(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_3610,c_64,c_63]) ).
tcf(c_3618,plain,
! [X0: $i] : join(iPr_def_13,join(X0,iPr_def_13)) = join(iPr_def_13,X0),
inference(light_normalisation,[status(thm)],[c_3617,c_2984]) ).
tcf(c_3619,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,join(X0,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_3605,c_64,c_63]) ).
tcf(c_3624,plain,
join(one,top) = top,
inference(light_normalisation,[status(thm)],[c_2763,c_2759]) ).
tcf(c_3626,plain,
join(one,join(converse(complement(one)),complement(top))) = top,
inference(superposition,[status(thm)],[c_2766,c_433]) ).
tcf(c_3627,plain,
! [X0: $i] : join(one,join(converse(complement(one)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2766,c_64]) ).
tcf(c_3628,plain,
! [X0: $i] : join(one,join(X0,converse(complement(one)))) = join(X0,top),
inference(superposition,[status(thm)],[c_2766,c_209]) ).
tcf(c_3631,plain,
join(converse(one),complement(one)) = converse(top),
inference(superposition,[status(thm)],[c_2766,c_251]) ).
tcf(c_3632,plain,
join(one,converse(converse(complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_2766,c_1155]) ).
tcf(c_3633,plain,
join(complement(one),converse(one)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_3631,c_64,c_63]) ).
tcf(c_3634,plain,
join(complement(one),one) = top,
inference(light_normalisation,[status(thm)],[c_3633,c_1109,c_2759]) ).
tcf(c_3635,plain,
join(one,complement(one)) = top,
inference(theory_normalisation,[status(thm)],[c_3634,c_64,c_63]) ).
tcf(c_3636,plain,
join(one,converse(converse(complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_3632,c_1308,c_2759]) ).
tcf(c_3637,plain,
join(one,join(complement(top),converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_3626,c_64,c_63]) ).
tcf(c_3639,plain,
! [X0: $i] : join(one,join(X0,converse(complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_3628,c_1400,c_2628]) ).
tcf(c_3640,plain,
! [X0: $i] : join(one,join(converse(complement(one)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_3627,c_1399,c_2640]) ).
tcf(c_3652,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_2963,c_68]) ).
tcf(c_3653,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_2963,c_66]) ).
tcf(c_3654,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_2963,c_68]) ).
tcf(c_3655,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_2963,c_90]) ).
tcf(c_3656,plain,
composition(converse(complement(iPr_def_12)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_2963,c_257]) ).
tcf(c_3657,plain,
composition(converse(complement(iPr_def_12)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_3656,c_3363]) ).
tcf(c_3658,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_11)),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_3655,c_3052]) ).
tcf(c_3659,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_3654,c_64,c_63]) ).
tcf(c_3696,plain,
composition(converse(iPr_def_11),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_3217,c_3363]) ).
tcf(c_3697,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),sk1) = join(zero,composition(X0,sk1)),
inference(superposition,[status(thm)],[c_3696,c_68]) ).
tcf(c_3698,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3696,c_66]) ).
tcf(c_3699,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),sk1) = join(composition(X0,sk1),zero),
inference(superposition,[status(thm)],[c_3696,c_68]) ).
tcf(c_3700,plain,
join(complement(sk1),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_3696,c_90]) ).
tcf(c_3701,plain,
composition(converse(sk1),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_3696,c_257]) ).
tcf(c_3703,plain,
join(complement(sk1),composition(converse(converse(iPr_def_11)),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_3700,c_3052]) ).
tcf(c_3704,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),sk1) = join(zero,composition(X0,sk1)),
inference(theory_normalisation,[status(thm)],[c_3699,c_64,c_63]) ).
tcf(c_3710,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_3657,c_68]) ).
tcf(c_3711,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3657,c_66]) ).
tcf(c_3712,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_3657,c_68]) ).
tcf(c_3713,plain,
join(complement(iPr_def_11),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_3657,c_90]) ).
tcf(c_3714,plain,
composition(converse(iPr_def_11),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_3657,c_257]) ).
tcf(c_3716,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3713,c_2962,c_3052]) ).
tcf(c_3717,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_3712,c_64,c_63]) ).
tcf(c_3731,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_64,c_2636]) ).
tcf(c_3742,plain,
! [X0: $i] : join(zero,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_3052,c_2636]) ).
tcf(c_3744,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(X0)),complement(top))) = top,
inference(superposition,[status(thm)],[c_2636,c_433]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,complement(X0)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_2636,c_64]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_2636,c_64]) ).
tcf(c_3749,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = join(X1,top),
inference(superposition,[status(thm)],[c_2636,c_209]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X1))) = top,
inference(superposition,[status(thm)],[c_2636,c_209]) ).
tcf(c_3751,plain,
! [X0: $i] : join(X0,complement(zero)) = top,
inference(superposition,[status(thm)],[c_2636,c_2951]) ).
tcf(c_3754,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_2636,c_250]) ).
tcf(c_3757,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),iPr_def_13) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2636,c_892]) ).
tcf(c_3758,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2636,c_426]) ).
tcf(c_3761,plain,
! [X0: $i] : join(one,converse(join(X0,complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_2636,c_1155]) ).
tcf(c_3771,plain,
! [X0: $i] : join(top,join(X0,zero)) = top,
inference(theory_normalisation,[status(thm)],[c_3742,c_64,c_63]) ).
tcf(c_3775,plain,
! [X0: $i] : join(one,converse(join(X0,complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_3761,c_2179,c_2759]) ).
tcf(c_3776,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_3757,c_64,c_63]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_3754,c_2169,c_2759]) ).
tcf(c_3781,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_3744,c_64,c_63]) ).
tcf(c_3782,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),zero))) = top,
inference(light_normalisation,[status(thm)],[c_3781,c_121]) ).
tcf(c_3783,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_3782,c_64,c_63]) ).
tcf(c_3784,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_3745,c_64,c_63]) ).
tcf(c_3811,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = top,
inference(superposition,[status(thm)],[c_209,c_2645]) ).
tcf(c_3820,plain,
! [X0: $i] : join(top,join(zero,X0)) = top,
inference(superposition,[status(thm)],[c_121,c_2645]) ).
tcf(c_3827,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(complement(X0),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_2645,c_64]) ).
tcf(c_3829,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_2645,c_64]) ).
tcf(c_3831,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(X1,top),
inference(superposition,[status(thm)],[c_2645,c_209]) ).
tcf(c_3832,plain,
! [X0: $i] : join(complement(zero),X0) = top,
inference(superposition,[status(thm)],[c_2645,c_2951]) ).
tcf(c_3835,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = converse(top),
inference(superposition,[status(thm)],[c_2645,c_250]) ).
tcf(c_3839,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_12),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2645,c_426]) ).
tcf(c_3843,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = converse(top),
inference(superposition,[status(thm)],[c_2645,c_1155]) ).
tcf(c_3856,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = top,
inference(light_normalisation,[status(thm)],[c_3843,c_1617,c_2759]) ).
tcf(c_3858,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = top,
inference(light_normalisation,[status(thm)],[c_3835,c_1608,c_2759]) ).
tcf(c_3862,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_3827,c_64,c_63]) ).
tcf(c_3881,plain,
join(zero,join(zero,top)) = top,
inference(light_normalisation,[status(thm)],[c_2656,c_3052]) ).
tcf(c_3882,plain,
join(iPr_def_11,join(iPr_def_11,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_2663,c_2962]) ).
tcf(c_3886,plain,
! [X0: $i] : join(converse(X0),converse(complement(X0))) = top,
inference(superposition,[status(thm)],[c_69,c_2767]) ).
tcf(c_3887,plain,
join(top,converse(complement(top))) = top,
inference(superposition,[status(thm)],[c_2759,c_2767]) ).
tcf(c_3888,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(converse(X1),X0)))) = top,
inference(superposition,[status(thm)],[c_312,c_2767]) ).
tcf(c_3889,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(X0,converse(X1))))) = top,
inference(superposition,[status(thm)],[c_250,c_2767]) ).
tcf(c_3890,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(X1,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_264,c_2767]) ).
tcf(c_3891,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(converse(X0),X1)))) = top,
inference(superposition,[status(thm)],[c_251,c_2767]) ).
tcf(c_3892,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(complement(composition(X1,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_256,c_2767]) ).
tcf(c_3893,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),X1),converse(complement(composition(converse(X1),X0)))) = top,
inference(superposition,[status(thm)],[c_257,c_2767]) ).
tcf(c_3894,plain,
join(zero,converse(complement(zero))) = top,
inference(superposition,[status(thm)],[c_3363,c_2767]) ).
tcf(c_3896,plain,
! [X0: $i] : join(join(one,X0),converse(complement(join(one,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1155,c_2767]) ).
tcf(c_3897,plain,
! [X0: $i] : join(join(X0,one),converse(complement(join(one,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1161,c_2767]) ).
tcf(c_3898,plain,
! [X0: $i] : join(composition(top,X0),converse(complement(composition(converse(X0),top)))) = top,
inference(superposition,[status(thm)],[c_2778,c_2767]) ).
tcf(c_3900,plain,
! [X0: $i] : join(X0,join(converse(complement(converse(X0))),complement(top))) = top,
inference(superposition,[status(thm)],[c_2767,c_433]) ).
tcf(c_3901,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2767,c_64]) ).
tcf(c_3903,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_2767,c_64]) ).
tcf(c_3905,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_2767,c_209]) ).
tcf(c_3906,plain,
! [X0: $i] : converse(join(X0,complement(converse(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_2767,c_70]) ).
tcf(c_3907,plain,
converse(complement(converse(zero))) = top,
inference(superposition,[status(thm)],[c_2767,c_2951]) ).
tcf(c_3910,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = converse(top),
inference(superposition,[status(thm)],[c_2767,c_251]) ).
tcf(c_3912,plain,
! [X0: $i] : join(X0,converse(converse(complement(converse(converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_2767,c_250]) ).
tcf(c_3916,plain,
join(iPr_def_13,converse(complement(converse(iPr_def_12)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2767,c_426]) ).
tcf(c_3917,plain,
join(one,converse(converse(complement(converse(one))))) = converse(top),
inference(superposition,[status(thm)],[c_2767,c_1155]) ).
tcf(c_3921,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = top,
inference(light_normalisation,[status(thm)],[c_3910,c_2759]) ).
tcf(c_3927,plain,
! [X0: $i] : join(X0,converse(converse(complement(X0)))) = top,
inference(light_normalisation,[status(thm)],[c_3912,c_69,c_2759]) ).
tcf(c_3930,plain,
! [X0: $i] : join(X0,join(complement(top),converse(complement(converse(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_3900,c_64,c_63]) ).
tcf(c_3931,plain,
! [X0: $i] : join(X0,join(zero,converse(complement(converse(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_3930,c_121]) ).
tcf(c_3932,plain,
! [X0: $i] : join(X0,join(one,converse(complement(join(one,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_3897,c_64,c_63]) ).
tcf(c_3933,plain,
! [X0: $i] : join(one,join(X0,converse(complement(join(one,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_3896,c_64,c_63]) ).
tcf(c_3934,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(converse(X0),X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_3891,c_64,c_63]) ).
tcf(c_3935,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(X1,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_3890,c_64,c_63]) ).
tcf(c_3936,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(X0,converse(X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_3889,c_64,c_63]) ).
tcf(c_3937,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_3888,c_64,c_63]) ).
tcf(c_4032,plain,
composition(converse(one),zero) = converse(zero),
inference(superposition,[status(thm)],[c_67,c_3394]) ).
tcf(c_4033,plain,
! [X0: $i] : join(composition(zero,X0),converse(complement(composition(converse(X0),zero)))) = top,
inference(superposition,[status(thm)],[c_3394,c_2767]) ).
tcf(c_4034,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),zero),X1)) = join(converse(X1),composition(zero,X0)),
inference(superposition,[status(thm)],[c_3394,c_312]) ).
tcf(c_4035,plain,
! [X0: $i,X1: $i] : converse(composition(composition(converse(X0),zero),X1)) = composition(converse(X1),composition(zero,X0)),
inference(superposition,[status(thm)],[c_3394,c_257]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),zero),X1)) = join(composition(zero,X0),converse(X1)),
inference(superposition,[status(thm)],[c_3394,c_250]) ).
tcf(c_4037,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),zero),converse(X1)) = converse(composition(X1,composition(zero,X0))),
inference(superposition,[status(thm)],[c_3394,c_71]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),zero),converse(X1)) = converse(join(composition(zero,X0),X1)),
inference(superposition,[status(thm)],[c_3394,c_70]) ).
tcf(c_4039,plain,
! [X0: $i] : converse(composition(converse(X0),zero)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3394,c_69]) ).
tcf(c_4040,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),zero))) = join(composition(zero,X1),converse(X0)),
inference(superposition,[status(thm)],[c_3394,c_264]) ).
tcf(c_4041,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(converse(X1),zero),complement(composition(composition(zero,X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3394,c_90]) ).
tcf(c_4042,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(converse(X1),zero))) = composition(composition(zero,X1),converse(X0)),
inference(superposition,[status(thm)],[c_3394,c_256]) ).
tcf(c_4043,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),zero))) = join(converse(X0),composition(zero,X1)),
inference(superposition,[status(thm)],[c_3394,c_251]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(converse(X1),zero)) = converse(composition(composition(zero,X1),X0)),
inference(superposition,[status(thm)],[c_3394,c_71]) ).
tcf(c_4045,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(converse(X1),zero)) = converse(join(X0,composition(zero,X1))),
inference(superposition,[status(thm)],[c_3394,c_70]) ).
tcf(c_4046,plain,
! [X0: $i] : composition(converse(converse(X0)),zero) = composition(X0,converse(zero)),
inference(superposition,[status(thm)],[c_3394,c_256]) ).
tcf(c_4047,plain,
composition(one,zero) = zero,
inference(light_normalisation,[status(thm)],[c_4032,c_1109,c_3363]) ).
tcf(c_4080,plain,
join(iPr_def_10,join(iPr_def_13,iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_3199,c_3428]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_64,c_3428]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_13)),complement(top))) = top,
inference(superposition,[status(thm)],[c_3428,c_433]) ).
tcf(c_4092,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_13)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_3428,c_64]) ).
tcf(c_4095,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_13)))) = join(X0,top),
inference(superposition,[status(thm)],[c_3428,c_209]) ).
tcf(c_4096,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_3428,c_209]) ).
tcf(c_4099,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_13,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_4091,c_64,c_63]) ).
tcf(c_4100,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_13,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_4099,c_121]) ).
tcf(c_4102,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_13,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_4092,c_64,c_63]) ).
tcf(c_4140,plain,
! [X0: $i] : join(iPr_def_13,join(X0,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_2830,c_2962]) ).
tcf(c_4141,plain,
! [X0: $i] : join(iPr_def_13,join(iPr_def_10,X0)) = top,
inference(light_normalisation,[status(thm)],[c_2831,c_2962]) ).
tcf(c_4143,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_63,c_245]) ).
tcf(c_4147,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_90,c_245]) ).
tcf(c_4148,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(join(X0,X2)),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_209,c_245]) ).
tcf(c_4150,plain,
! [X0: $i] : join(complement(top),complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_2767,c_245]) ).
tcf(c_4151,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(complement(X0)),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_3114,c_245]) ).
tcf(c_4153,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(join(complement(complement(X0)),X1)),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_2645,c_245]) ).
tcf(c_4154,plain,
! [X0: $i] : join(complement(top),complement(join(complement(top),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_2628,c_245]) ).
tcf(c_4155,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(zero),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_3047,c_245]) ).
tcf(c_4156,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(join(X0,complement(complement(X1)))),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_2636,c_245]) ).
tcf(c_4157,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(join(complement(X0),X1)),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_3159,c_245]) ).
tcf(c_4166,plain,
! [X0: $i] : join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_73,c_245]) ).
tcf(c_4175,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_245]) ).
tcf(c_4181,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_245,c_3159]) ).
tcf(c_4182,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X1),complement(X0))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_245,c_433]) ).
tcf(c_4183,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X1),complement(X0))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_245,c_64]) ).
tcf(c_4187,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X1),complement(X0))))) = join(X2,X0),
inference(superposition,[status(thm)],[c_245,c_209]) ).
tcf(c_4188,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),complement(X1)),X1) = top,
inference(superposition,[status(thm)],[c_245,c_2636]) ).
tcf(c_4189,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(complement(X0),complement(X1))),join(complement(X1),X0))),complement(X1)) = join(complement(X0),complement(X1)),
inference(superposition,[status(thm)],[c_245,c_245]) ).
tcf(c_4191,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,complement(X1))) = top,
inference(theory_normalisation,[status(thm)],[c_4188,c_64,c_63]) ).
tcf(c_4192,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_4181,c_64,c_63]) ).
tcf(c_4202,plain,
! [X0: $i] : join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_4166,c_64,c_63]) ).
tcf(c_4203,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_4202,c_121,c_2961,c_3114]) ).
tcf(c_4210,plain,
! [X0: $i] : join(X0,complement(join(top,complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_4155,c_2961,c_3052]) ).
tcf(c_4215,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4151,c_64,c_63]) ).
tcf(c_4216,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_4215,c_2961]) ).
tcf(c_4217,plain,
! [X0: $i] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_4216,c_64,c_63]) ).
tcf(c_4222,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4156,c_64,c_63]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_4222,c_121,c_2961]) ).
tcf(c_4224,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4153,c_64,c_63]) ).
tcf(c_4225,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(light_normalisation,[status(thm)],[c_4224,c_121,c_2961]) ).
tcf(c_4226,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4150,c_64,c_63]) ).
tcf(c_4227,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_4226,c_121]) ).
tcf(c_4228,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4182,c_64,c_63]) ).
tcf(c_4231,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(join(complement(X0),X1))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4157,c_64,c_63]) ).
tcf(c_4234,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4147,c_64,c_63]) ).
tcf(c_4235,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
inference(light_normalisation,[status(thm)],[c_4234,c_2961]) ).
tcf(c_4236,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X1,join(complement(X0),complement(join(complement(X1),complement(X0))))))) = join(complement(X1),complement(X0)),
inference(theory_normalisation,[status(thm)],[c_4189,c_64,c_63]) ).
tcf(c_4253,plain,
join(complement(iPr_def_13),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_1699,c_3159]) ).
tcf(c_4254,plain,
join(complement(iPr_def_13),join(complement(join(iPr_def_11,complement(iPr_def_12))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1699,c_433]) ).
tcf(c_4255,plain,
! [X0: $i] : join(complement(iPr_def_13),join(complement(join(iPr_def_11,complement(iPr_def_12))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1699,c_64]) ).
tcf(c_4258,plain,
! [X0: $i] : join(complement(iPr_def_13),join(X0,complement(join(iPr_def_11,complement(iPr_def_12))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1699,c_209]) ).
tcf(c_4259,plain,
join(join(iPr_def_11,complement(iPr_def_12)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_1699,c_2636]) ).
tcf(c_4260,plain,
join(iPr_def_10,complement(iPr_def_13)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4253,c_64,c_63]) ).
tcf(c_4261,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_4259,c_64,c_63]) ).
tcf(c_4262,plain,
join(complement(iPr_def_10),join(complement(iPr_def_13),complement(join(iPr_def_11,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_4254,c_64,c_63]) ).
tcf(c_4268,plain,
join(iPr_def_10,join(complement(iPr_def_13),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4260,c_433]) ).
tcf(c_4269,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_13),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4260,c_64]) ).
tcf(c_4270,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_13))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_4260,c_209]) ).
tcf(c_4273,plain,
join(iPr_def_10,join(complement(iPr_def_10),complement(iPr_def_13))) = top,
inference(theory_normalisation,[status(thm)],[c_4268,c_64,c_63]) ).
tcf(c_4274,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_13))) = top,
inference(light_normalisation,[status(thm)],[c_4273,c_3111]) ).
tcf(c_4282,plain,
composition(top,converse(sk1)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_130,c_2776]) ).
tcf(c_4283,plain,
! [X0: $i,X1: $i] : composition(top,converse(composition(X0,X1))) = converse(composition(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_66,c_2776]) ).
tcf(c_4284,plain,
composition(top,converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_132,c_2776]) ).
tcf(c_4285,plain,
composition(top,converse(one)) = converse(top),
inference(superposition,[status(thm)],[c_1118,c_2776]) ).
tcf(c_4286,plain,
! [X0: $i] : join(composition(X0,top),converse(complement(composition(top,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_2776,c_2767]) ).
tcf(c_4287,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(X0)),X1)) = join(converse(X1),composition(X0,top)),
inference(superposition,[status(thm)],[c_2776,c_312]) ).
tcf(c_4288,plain,
! [X0: $i,X1: $i] : converse(composition(composition(top,converse(X0)),X1)) = composition(converse(X1),composition(X0,top)),
inference(superposition,[status(thm)],[c_2776,c_257]) ).
tcf(c_4289,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(X0)),X1)) = join(composition(X0,top),converse(X1)),
inference(superposition,[status(thm)],[c_2776,c_250]) ).
tcf(c_4290,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(X0)),converse(X1)) = converse(composition(X1,composition(X0,top))),
inference(superposition,[status(thm)],[c_2776,c_71]) ).
tcf(c_4291,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(X0)),converse(X1)) = converse(join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_2776,c_70]) ).
tcf(c_4292,plain,
! [X0: $i] : converse(composition(top,converse(X0))) = composition(X0,top),
inference(superposition,[status(thm)],[c_2776,c_69]) ).
tcf(c_4293,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(X1)))) = join(composition(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2776,c_264]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(top,converse(X1)),complement(composition(composition(X1,top),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_90]) ).
tcf(c_4295,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(top,converse(X1)))) = composition(composition(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2776,c_256]) ).
tcf(c_4296,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(X1)))) = join(converse(X0),composition(X1,top)),
inference(superposition,[status(thm)],[c_2776,c_251]) ).
tcf(c_4297,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(top,converse(X1))) = converse(composition(composition(X1,top),X0)),
inference(superposition,[status(thm)],[c_2776,c_71]) ).
tcf(c_4298,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(top,converse(X1))) = converse(join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_2776,c_70]) ).
tcf(c_4299,plain,
! [X0: $i] : composition(top,converse(converse(X0))) = composition(converse(top),X0),
inference(superposition,[status(thm)],[c_2776,c_257]) ).
tcf(c_4300,plain,
composition(converse(top),top) = composition(top,converse(top)),
inference(superposition,[status(thm)],[c_2776,c_2778]) ).
tcf(c_4301,plain,
composition(converse(top),zero) = composition(top,converse(zero)),
inference(superposition,[status(thm)],[c_2776,c_3394]) ).
tcf(c_4302,plain,
composition(top,one) = top,
inference(light_normalisation,[status(thm)],[c_4285,c_1109,c_2759]) ).
tcf(c_4320,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(sk1))) = composition(join(top,X0),converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_68]) ).
tcf(c_4321,plain,
! [X0: $i] : composition(top,composition(converse(sk1),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_4282,c_66]) ).
tcf(c_4322,plain,
! [X0: $i] : join(composition(X0,converse(sk1)),converse(iPr_def_10)) = composition(join(X0,top),converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_68]) ).
tcf(c_4323,plain,
join(complement(converse(sk1)),composition(converse(top),complement(converse(iPr_def_10)))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_90]) ).
tcf(c_4324,plain,
composition(sk1,converse(top)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_256]) ).
tcf(c_4325,plain,
composition(converse(converse(sk1)),top) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_2778]) ).
tcf(c_4326,plain,
composition(iPr_def_11,converse(iPr_def_10)) = composition(iPr_def_12,converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_470]) ).
tcf(c_4327,plain,
composition(sk1,converse(iPr_def_10)) = composition(iPr_def_10,converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_467]) ).
tcf(c_4328,plain,
converse(converse(iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4324,c_130,c_2759]) ).
tcf(c_4329,plain,
join(complement(converse(sk1)),composition(top,complement(converse(iPr_def_10)))) = complement(converse(sk1)),
inference(light_normalisation,[status(thm)],[c_4323,c_2759]) ).
tcf(c_4330,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(sk1))) = composition(join(X0,top),converse(sk1)),
inference(theory_normalisation,[status(thm)],[c_4322,c_64,c_63]) ).
tcf(c_4331,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(sk1))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_4330,c_2628,c_4282]) ).
tcf(c_4341,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = composition(join(top,X0),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_68]) ).
tcf(c_4342,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_11),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_4284,c_66]) ).
tcf(c_4343,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_11)),converse(iPr_def_12)) = composition(join(X0,top),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_68]) ).
tcf(c_4344,plain,
join(complement(converse(iPr_def_11)),composition(converse(top),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_90]) ).
tcf(c_4345,plain,
composition(iPr_def_11,converse(top)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_256]) ).
tcf(c_4346,plain,
composition(converse(converse(iPr_def_11)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_2778]) ).
tcf(c_4347,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_470]) ).
tcf(c_4348,plain,
composition(sk1,converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_467]) ).
tcf(c_4349,plain,
converse(converse(iPr_def_12)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4345,c_132,c_2759]) ).
tcf(c_4350,plain,
join(complement(converse(iPr_def_11)),composition(top,complement(converse(iPr_def_12)))) = complement(converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_4344,c_2759]) ).
tcf(c_4351,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = composition(join(X0,top),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4343,c_64,c_63]) ).
tcf(c_4352,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_4351,c_2628,c_4284]) ).
tcf(c_4369,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_2896]) ).
tcf(c_4389,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,X2)))) = top,
inference(superposition,[status(thm)],[c_209,c_2896]) ).
tcf(c_4405,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_11,X1)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_2896,c_64]) ).
tcf(c_4408,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,X2)))) = join(X0,top),
inference(superposition,[status(thm)],[c_2896,c_209]) ).
tcf(c_4409,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(iPr_def_11,X1))) = top,
inference(superposition,[status(thm)],[c_2896,c_209]) ).
tcf(c_4417,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_4405,c_64,c_63]) ).
tcf(c_4440,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_13),complement(join(X0,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_2983,c_433]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_13),X1)) = join(join(X0,iPr_def_13),X1),
inference(superposition,[status(thm)],[c_2983,c_64]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_13))) = join(X0,join(X1,iPr_def_13)),
inference(superposition,[status(thm)],[c_2983,c_209]) ).
tcf(c_4445,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_13)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_2983,c_209]) ).
tcf(c_4448,plain,
join(iPr_def_12,iPr_def_13) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_2983,c_892]) ).
tcf(c_4461,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_13,complement(join(X0,iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_4440,c_64,c_63]) ).
tcf(c_4462,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_13,X1))) = join(X0,join(iPr_def_13,X1)),
inference(theory_normalisation,[status(thm)],[c_4441,c_64,c_63]) ).
tcf(c_4484,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_13,X0),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_2984,c_433]) ).
tcf(c_4489,plain,
join(iPr_def_13,complement(join(iPr_def_11,iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_2984,c_433]) ).
tcf(c_4503,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_13,join(X0,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4484,c_64,c_63]) ).
tcf(c_4511,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,complement(X2)))),complement(join(complement(X2),complement(join(X0,X1))))) = X2,
inference(superposition,[status(thm)],[c_64,c_246]) ).
tcf(c_4513,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(zero)))) = X0,
inference(superposition,[status(thm)],[c_2951,c_246]) ).
tcf(c_4517,plain,
join(complement(top),complement(join(complement(iPr_def_12),complement(iPr_def_13)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_2277,c_246]) ).
tcf(c_4518,plain,
join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,complement(iPr_def_12))),complement(complement(iPr_def_13))))) = join(iPr_def_11,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_1699,c_246]) ).
tcf(c_4519,plain,
join(complement(iPr_def_10),complement(join(complement(iPr_def_13),complement(iPr_def_10)))) = iPr_def_13,
inference(superposition,[status(thm)],[c_4260,c_246]) ).
tcf(c_4531,plain,
join(complement(join(join(iPr_def_11,complement(iPr_def_12)),complement(iPr_def_13))),complement(iPr_def_10)) = iPr_def_13,
inference(superposition,[status(thm)],[c_1699,c_246]) ).
tcf(c_4532,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X1,complement(X0)))) = complement(X1),
inference(superposition,[status(thm)],[c_2961,c_246]) ).
tcf(c_4536,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_10)),complement(join(iPr_def_10,complement(X0)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2962,c_246]) ).
tcf(c_4537,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(top,complement(X0)))) = zero,
inference(superposition,[status(thm)],[c_3052,c_246]) ).
tcf(c_4544,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_246,c_3159]) ).
tcf(c_4545,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),join(complement(join(complement(X1),complement(X0))),complement(X1))) = top,
inference(superposition,[status(thm)],[c_246,c_433]) ).
tcf(c_4546,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),join(complement(join(complement(X1),complement(X0))),X2)) = join(X1,X2),
inference(superposition,[status(thm)],[c_246,c_64]) ).
tcf(c_4549,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),join(X2,complement(join(complement(X1),complement(X0))))) = join(X2,X1),
inference(superposition,[status(thm)],[c_246,c_209]) ).
tcf(c_4550,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),complement(X1)),X0) = top,
inference(superposition,[status(thm)],[c_246,c_2636]) ).
tcf(c_4551,plain,
! [X0: $i,X1: $i] : join(complement(join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0))))),complement(X0)) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_246,c_246]) ).
tcf(c_4552,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(X1,complement(X0))))))) = join(complement(X0),complement(X1)),
inference(superposition,[status(thm)],[c_246,c_246]) ).
tcf(c_4554,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(X1))) = top,
inference(theory_normalisation,[status(thm)],[c_4550,c_64,c_63]) ).
tcf(c_4555,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_4544,c_64,c_63]) ).
tcf(c_4560,plain,
join(complement(iPr_def_10),complement(join(complement(iPr_def_10),complement(iPr_def_13)))) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_4519,c_64,c_63]) ).
tcf(c_4561,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_13)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_4560,c_3111]) ).
tcf(c_4562,plain,
join(zero,complement(join(complement(iPr_def_12),complement(iPr_def_13)))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4517,c_121]) ).
tcf(c_4564,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),top))) = X0,
inference(light_normalisation,[status(thm)],[c_4513,c_2961,c_3052]) ).
tcf(c_4570,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_13))))) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_4531,c_64,c_63]) ).
tcf(c_4571,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_13))))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_4570,c_3111]) ).
tcf(c_4573,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(join(X1,complement(X0))),complement(join(complement(X0),complement(X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_4545,c_64,c_63]) ).
tcf(c_4574,plain,
join(complement(iPr_def_10),complement(join(complement(complement(iPr_def_13)),complement(join(iPr_def_11,complement(iPr_def_12)))))) = join(iPr_def_11,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_4518,c_64,c_63]) ).
tcf(c_4575,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_13)),complement(join(iPr_def_11,complement(iPr_def_12)))))) = join(iPr_def_11,complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_4574,c_3111]) ).
tcf(c_4576,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))))) = join(X1,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_4551,c_64,c_63]) ).
tcf(c_4578,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(complement(join(X1,complement(X0)))),complement(join(complement(X0),complement(X1)))))) = join(complement(X0),complement(X1)),
inference(theory_normalisation,[status(thm)],[c_4552,c_64,c_63]) ).
tcf(c_4655,plain,
! [X0: $i] : join(iPr_def_12,join(join(X0,iPr_def_13),complement(join(X0,iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_3200,c_433]) ).
tcf(c_4659,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(X1,iPr_def_13))) = join(X0,join(X1,iPr_def_13)),
inference(superposition,[status(thm)],[c_3200,c_209]) ).
tcf(c_4660,plain,
! [X0: $i] : join(X0,join(iPr_def_12,iPr_def_13)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_3200,c_209]) ).
tcf(c_4662,plain,
! [X0: $i] : join(join(X0,iPr_def_13),iPr_def_13) = join(iPr_def_11,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_3200,c_892]) ).
tcf(c_4663,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_13)) = join(iPr_def_13,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_3200,c_426]) ).
tcf(c_4670,plain,
! [X0: $i] : join(X0,join(iPr_def_13,iPr_def_13)) = join(iPr_def_11,join(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_4662,c_64,c_63]) ).
tcf(c_4671,plain,
! [X0: $i] : join(X0,join(iPr_def_13,iPr_def_13)) = join(X0,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_4670,c_2983]) ).
tcf(c_4672,plain,
! [X0: $i] : join(iPr_def_12,join(X0,join(iPr_def_13,complement(join(X0,iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_4655,c_64,c_63]) ).
tcf(c_4677,plain,
join(iPr_def_10,converse(converse(iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3218,c_4325]) ).
tcf(c_4681,plain,
! [X0: $i,X1: $i] : composition(zero,converse(composition(X0,X1))) = converse(composition(X0,composition(X1,zero))),
inference(superposition,[status(thm)],[c_66,c_3392]) ).
tcf(c_4682,plain,
composition(zero,converse(one)) = converse(zero),
inference(superposition,[status(thm)],[c_1118,c_3392]) ).
tcf(c_4683,plain,
! [X0: $i] : join(composition(X0,zero),converse(complement(composition(zero,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_3392,c_2767]) ).
tcf(c_4684,plain,
! [X0: $i,X1: $i] : converse(join(composition(zero,converse(X0)),X1)) = join(converse(X1),composition(X0,zero)),
inference(superposition,[status(thm)],[c_3392,c_312]) ).
tcf(c_4685,plain,
! [X0: $i,X1: $i] : converse(composition(composition(zero,converse(X0)),X1)) = composition(converse(X1),composition(X0,zero)),
inference(superposition,[status(thm)],[c_3392,c_257]) ).
tcf(c_4686,plain,
! [X0: $i,X1: $i] : converse(join(composition(zero,converse(X0)),X1)) = join(composition(X0,zero),converse(X1)),
inference(superposition,[status(thm)],[c_3392,c_250]) ).
tcf(c_4687,plain,
! [X0: $i,X1: $i] : composition(composition(zero,converse(X0)),converse(X1)) = converse(composition(X1,composition(X0,zero))),
inference(superposition,[status(thm)],[c_3392,c_71]) ).
tcf(c_4688,plain,
! [X0: $i,X1: $i] : join(composition(zero,converse(X0)),converse(X1)) = converse(join(composition(X0,zero),X1)),
inference(superposition,[status(thm)],[c_3392,c_70]) ).
tcf(c_4689,plain,
! [X0: $i] : converse(composition(zero,converse(X0))) = composition(X0,zero),
inference(superposition,[status(thm)],[c_3392,c_69]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(zero,converse(X1)))) = join(composition(X1,zero),converse(X0)),
inference(superposition,[status(thm)],[c_3392,c_264]) ).
tcf(c_4691,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(zero,converse(X1)),complement(composition(composition(X1,zero),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3392,c_90]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(zero,converse(X1)))) = composition(composition(X1,zero),converse(X0)),
inference(superposition,[status(thm)],[c_3392,c_256]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(zero,converse(X1)))) = join(converse(X0),composition(X1,zero)),
inference(superposition,[status(thm)],[c_3392,c_251]) ).
tcf(c_4694,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(zero,converse(X1))) = converse(composition(composition(X1,zero),X0)),
inference(superposition,[status(thm)],[c_3392,c_71]) ).
tcf(c_4695,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(zero,converse(X1))) = converse(join(X0,composition(X1,zero))),
inference(superposition,[status(thm)],[c_3392,c_70]) ).
tcf(c_4696,plain,
! [X0: $i] : composition(zero,converse(converse(X0))) = composition(converse(zero),X0),
inference(superposition,[status(thm)],[c_3392,c_257]) ).
tcf(c_4697,plain,
composition(converse(zero),top) = composition(zero,converse(top)),
inference(superposition,[status(thm)],[c_3392,c_2778]) ).
tcf(c_4698,plain,
composition(converse(zero),zero) = composition(zero,converse(zero)),
inference(superposition,[status(thm)],[c_3392,c_3394]) ).
tcf(c_4699,plain,
composition(zero,one) = zero,
inference(light_normalisation,[status(thm)],[c_4682,c_1109,c_3363]) ).
tcf(c_4724,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_13,join(X0,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_3453]) ).
tcf(c_4748,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_13,X2)))) = top,
inference(superposition,[status(thm)],[c_209,c_3453]) ).
tcf(c_4760,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_13,X1)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_3453,c_64]) ).
tcf(c_4763,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_13,X2)))) = join(X0,top),
inference(superposition,[status(thm)],[c_3453,c_209]) ).
tcf(c_4764,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(iPr_def_13,X1))) = top,
inference(superposition,[status(thm)],[c_3453,c_209]) ).
tcf(c_4771,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_13,join(X1,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_4760,c_64,c_63]) ).
tcf(c_4780,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,iPr_def_13))) = join(iPr_def_13,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_3618]) ).
tcf(c_4781,plain,
join(iPr_def_13,zero) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_2951,c_3618]) ).
tcf(c_4786,plain,
! [X0: $i] : join(iPr_def_13,join(join(X0,iPr_def_13),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_3618,c_433]) ).
tcf(c_4787,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(join(X0,iPr_def_13),X1)) = join(join(iPr_def_13,X0),X1),
inference(superposition,[status(thm)],[c_3618,c_64]) ).
tcf(c_4790,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,iPr_def_13))) = join(X0,join(iPr_def_13,X1)),
inference(superposition,[status(thm)],[c_3618,c_209]) ).
tcf(c_4791,plain,
! [X0: $i] : join(X0,join(iPr_def_13,iPr_def_13)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_3618,c_209]) ).
tcf(c_4808,plain,
! [X0: $i] : join(iPr_def_13,join(X0,join(iPr_def_13,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4786,c_64,c_63]) ).
tcf(c_4809,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(iPr_def_13,X1))) = join(iPr_def_13,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_4787,c_64,c_63]) ).
tcf(c_4823,plain,
! [X0: $i] : join(zero,join(iPr_def_10,X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_2797,c_2962]) ).
tcf(c_4824,plain,
composition(converse(sk1),iPr_def_11) = composition(zero,one),
inference(superposition,[status(thm)],[c_67,c_3214]) ).
tcf(c_4825,plain,
composition(converse(sk1),iPr_def_12) = composition(zero,top),
inference(superposition,[status(thm)],[c_132,c_3214]) ).
tcf(c_4826,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_12,X0)) = composition(zero,composition(top,X0)),
inference(superposition,[status(thm)],[c_470,c_3214]) ).
tcf(c_4827,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(converse(sk1),X1),composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_3214,c_68]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i] : composition(converse(sk1),composition(composition(iPr_def_11,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_3214,c_66]) ).
tcf(c_4829,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_11,X1)),composition(zero,X1)) = composition(join(X0,converse(sk1)),composition(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_3214,c_68]) ).
tcf(c_4830,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(sk1)),complement(composition(zero,X0)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_3214,c_90]) ).
tcf(c_4831,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),sk1) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_3214,c_257]) ).
tcf(c_4833,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),sk1) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_4831,c_3394]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(X1,converse(sk1)),composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_4829,c_64,c_63]) ).
tcf(c_4847,plain,
! [X0: $i] : join(composition(zero,top),composition(X0,iPr_def_12)) = composition(join(converse(sk1),X0),iPr_def_12),
inference(superposition,[status(thm)],[c_4825,c_68]) ).
tcf(c_4848,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_12,X0)) = composition(composition(zero,top),X0),
inference(superposition,[status(thm)],[c_4825,c_66]) ).
tcf(c_4849,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(zero,top)) = composition(join(X0,converse(sk1)),iPr_def_12),
inference(superposition,[status(thm)],[c_4825,c_68]) ).
tcf(c_4850,plain,
join(complement(iPr_def_12),composition(converse(converse(sk1)),complement(composition(zero,top)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_4825,c_90]) ).
tcf(c_4851,plain,
composition(converse(iPr_def_12),sk1) = converse(composition(zero,top)),
inference(superposition,[status(thm)],[c_4825,c_257]) ).
tcf(c_4852,plain,
! [X0: $i] : composition(composition(zero,top),X0) = composition(zero,composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_4848,c_4826]) ).
tcf(c_4866,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,converse(complement(one))))) = top,
inference(superposition,[status(thm)],[c_64,c_3639]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i] : join(one,join(join(X0,converse(complement(one))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_3639,c_64]) ).
tcf(c_4877,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,converse(complement(one))))) = join(X0,top),
inference(superposition,[status(thm)],[c_3639,c_209]) ).
tcf(c_4878,plain,
! [X0: $i] : join(X0,join(one,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_3639,c_209]) ).
tcf(c_4881,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_3639,c_1155]) ).
tcf(c_4884,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_4881,c_2759]) ).
tcf(c_4887,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_4874,c_64,c_63]) ).
tcf(c_4896,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_3640]) ).
tcf(c_4906,plain,
! [X0: $i] : join(one,join(join(converse(complement(one)),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_3640,c_433]) ).
tcf(c_4907,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(complement(one)),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_3640,c_64]) ).
tcf(c_4908,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_3640,c_209]) ).
tcf(c_4912,plain,
! [X0: $i] : join(one,converse(join(converse(complement(one)),X0))) = converse(top),
inference(superposition,[status(thm)],[c_3640,c_1155]) ).
tcf(c_4913,plain,
! [X0: $i] : join(one,converse(join(converse(complement(one)),X0))) = top,
inference(light_normalisation,[status(thm)],[c_4912,c_2759]) ).
tcf(c_4914,plain,
! [X0: $i] : join(one,join(complement(top),join(X0,converse(complement(one))))) = top,
inference(theory_normalisation,[status(thm)],[c_4906,c_64,c_63]) ).
tcf(c_4915,plain,
! [X0: $i] : join(one,join(zero,join(X0,converse(complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_4914,c_121]) ).
tcf(c_4917,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(one)),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_4907,c_64,c_63]) ).
tcf(c_4929,plain,
join(one,join(one,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1155,c_3775]) ).
tcf(c_4932,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(one))))) = top,
inference(superposition,[status(thm)],[c_64,c_3775]) ).
tcf(c_4936,plain,
join(one,converse(top)) = top,
inference(superposition,[status(thm)],[c_2640,c_3775]) ).
tcf(c_4938,plain,
! [X0: $i] : join(one,join(converse(join(X0,complement(one))),complement(top))) = top,
inference(superposition,[status(thm)],[c_3775,c_433]) ).
tcf(c_4939,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(X0,complement(one))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_3775,c_64]) ).
tcf(c_4940,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(X1,complement(one))))) = join(X0,top),
inference(superposition,[status(thm)],[c_3775,c_209]) ).
tcf(c_4942,plain,
! [X0: $i] : join(join(X0,complement(one)),converse(one)) = converse(top),
inference(superposition,[status(thm)],[c_3775,c_264]) ).
tcf(c_4943,plain,
! [X0: $i] : join(converse(one),join(X0,complement(one))) = converse(top),
inference(superposition,[status(thm)],[c_3775,c_251]) ).
tcf(c_4944,plain,
! [X0: $i] : join(one,converse(converse(join(X0,complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_3775,c_1155]) ).
tcf(c_4947,plain,
! [X0: $i] : join(complement(one),join(X0,converse(one))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_4943,c_64,c_63]) ).
tcf(c_4948,plain,
! [X0: $i] : join(complement(one),join(X0,one)) = top,
inference(light_normalisation,[status(thm)],[c_4947,c_1109,c_2759]) ).
tcf(c_4949,plain,
! [X0: $i] : join(one,join(X0,complement(one))) = top,
inference(theory_normalisation,[status(thm)],[c_4948,c_64,c_63]) ).
tcf(c_4950,plain,
! [X0: $i] : join(X0,join(complement(one),converse(one))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_4942,c_64,c_63]) ).
tcf(c_4951,plain,
! [X0: $i] : join(X0,join(complement(one),one)) = top,
inference(light_normalisation,[status(thm)],[c_4950,c_1109,c_2759]) ).
tcf(c_4952,plain,
! [X0: $i] : join(X0,join(one,complement(one))) = top,
inference(theory_normalisation,[status(thm)],[c_4951,c_64,c_63]) ).
tcf(c_4953,plain,
! [X0: $i] : join(one,converse(converse(join(X0,complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_4944,c_2759]) ).
tcf(c_4954,plain,
! [X0: $i] : join(one,join(complement(top),converse(join(X0,complement(one))))) = top,
inference(theory_normalisation,[status(thm)],[c_4938,c_64,c_63]) ).
tcf(c_4956,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(X1,complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_4940,c_2628]) ).
tcf(c_4975,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(complement(one),X1)))) = top,
inference(superposition,[status(thm)],[c_209,c_3856]) ).
tcf(c_4985,plain,
! [X0: $i] : join(one,join(converse(join(complement(one),X0)),complement(top))) = top,
inference(superposition,[status(thm)],[c_3856,c_433]) ).
tcf(c_4986,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(complement(one),X0)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_3856,c_64]) ).
tcf(c_4987,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(complement(one),X1)))) = join(X0,top),
inference(superposition,[status(thm)],[c_3856,c_209]) ).
tcf(c_4991,plain,
! [X0: $i] : join(one,converse(converse(join(complement(one),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_3856,c_1155]) ).
tcf(c_4998,plain,
! [X0: $i] : join(one,converse(converse(join(complement(one),X0)))) = top,
inference(light_normalisation,[status(thm)],[c_4991,c_2759]) ).
tcf(c_4999,plain,
! [X0: $i] : join(one,join(complement(top),converse(join(complement(one),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_4985,c_64,c_63]) ).
tcf(c_5001,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(complement(one),X1)))) = top,
inference(light_normalisation,[status(thm)],[c_4987,c_2628]) ).
tcf(c_5018,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(X1,join(complement(X0),X2)))) = X0,
inference(superposition,[status(thm)],[c_209,c_4192]) ).
tcf(c_5025,plain,
! [X0: $i] : join(X0,complement(top)) = X0,
inference(superposition,[status(thm)],[c_2636,c_4192]) ).
tcf(c_5026,plain,
join(iPr_def_13,complement(iPr_def_10)) = iPr_def_13,
inference(superposition,[status(thm)],[c_1699,c_4192]) ).
tcf(c_5029,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_4192]) ).
tcf(c_5030,plain,
! [X0: $i] : join(top,complement(join(zero,X0))) = top,
inference(superposition,[status(thm)],[c_121,c_4192]) ).
tcf(c_5031,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3111,c_4192]) ).
tcf(c_5033,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2962,c_4192]) ).
tcf(c_5034,plain,
! [X0: $i] : join(zero,complement(join(top,X0))) = zero,
inference(superposition,[status(thm)],[c_3052,c_4192]) ).
tcf(c_5036,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),X1)),complement(X0))) = top,
inference(superposition,[status(thm)],[c_4192,c_433]) ).
tcf(c_5037,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4192,c_64]) ).
tcf(c_5039,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(join(X0,X1)),X2)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_4192,c_64]) ).
tcf(c_5040,plain,
! [X0: $i] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_4192,c_4192]) ).
tcf(c_5042,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),X2)))) = join(X1,X0),
inference(superposition,[status(thm)],[c_4192,c_209]) ).
tcf(c_5044,plain,
! [X0: $i] : complement(join(complement(zero),X0)) = zero,
inference(superposition,[status(thm)],[c_4192,c_2951]) ).
tcf(c_5047,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(complement(converse(X0)),X1)))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_4192,c_250]) ).
tcf(c_5053,plain,
! [X0: $i] : join(iPr_def_13,complement(join(complement(iPr_def_12),X0))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4192,c_426]) ).
tcf(c_5056,plain,
! [X0: $i] : join(one,converse(complement(join(complement(one),X0)))) = converse(one),
inference(superposition,[status(thm)],[c_4192,c_1155]) ).
tcf(c_5059,plain,
join(iPr_def_13,iPr_def_11) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_5026,c_3111]) ).
tcf(c_5066,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_5030,c_2951]) ).
tcf(c_5067,plain,
! [X0: $i] : join(one,converse(complement(join(complement(one),X0)))) = one,
inference(light_normalisation,[status(thm)],[c_5056,c_1109]) ).
tcf(c_5068,plain,
! [X0: $i] : join(iPr_def_13,complement(join(complement(iPr_def_12),X0))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_5053,c_133]) ).
tcf(c_5071,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(join(complement(X0),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_5036,c_64,c_63]) ).
tcf(c_5072,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(complement(converse(X0)),X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_5047,c_69]) ).
tcf(c_5094,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_63,c_5031]) ).
tcf(c_5099,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_5031]) ).
tcf(c_5111,plain,
join(iPr_def_10,complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2636,c_5031]) ).
tcf(c_5112,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,iPr_def_13))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2983,c_5031]) ).
tcf(c_5113,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_13,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2984,c_5031]) ).
tcf(c_5115,plain,
join(iPr_def_10,complement(iPr_def_11)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_5031]) ).
tcf(c_5117,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5031,c_433]) ).
tcf(c_5118,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_5031,c_64]) ).
tcf(c_5119,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_11,X1)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5031,c_209]) ).
tcf(c_5126,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(iPr_def_11,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_5117,c_64,c_63]) ).
tcf(c_5127,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_5126,c_3111]) ).
tcf(c_5167,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_63,c_5033]) ).
tcf(c_5171,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_10,X1)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_209,c_5033]) ).
tcf(c_5188,plain,
join(iPr_def_11,complement(top)) = iPr_def_11,
inference(superposition,[status(thm)],[c_3428,c_5033]) ).
tcf(c_5190,plain,
join(iPr_def_11,complement(iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_4192,c_5033]) ).
tcf(c_5194,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_5033,c_433]) ).
tcf(c_5195,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_10,X0)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_5033,c_64]) ).
tcf(c_5196,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_10,X1)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_5033,c_209]) ).
tcf(c_5204,plain,
join(iPr_def_11,zero) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5188,c_121]) ).
tcf(c_5206,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_10,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_5194,c_64,c_63]) ).
tcf(c_5207,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_10,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_5206,c_2962]) ).
tcf(c_5208,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_10,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_5207,c_64,c_63]) ).
tcf(c_5222,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_5094]) ).
tcf(c_5228,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_11)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5094,c_433]) ).
tcf(c_5229,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_11)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_5094,c_64]) ).
tcf(c_5230,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(X1,iPr_def_11)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5094,c_209]) ).
tcf(c_5236,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_5228,c_64,c_63]) ).
tcf(c_5237,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_5236,c_3111]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(X1,iPr_def_13)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_5112]) ).
tcf(c_5265,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_13)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5112,c_433]) ).
tcf(c_5266,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_13)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_5112,c_64]) ).
tcf(c_5267,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(X1,iPr_def_13)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5112,c_209]) ).
tcf(c_5273,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,iPr_def_13)))) = top,
inference(theory_normalisation,[status(thm)],[c_5265,c_64,c_63]) ).
tcf(c_5274,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_13)))) = top,
inference(light_normalisation,[status(thm)],[c_5273,c_3111]) ).
tcf(c_5286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(X1)),converse(composition(X2,X3))) = converse(composition(X2,composition(X3,join(converse(X0),X1)))),
inference(superposition,[status(thm)],[c_66,c_271]) ).
tcf(c_5287,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(one)) = converse(join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1118,c_271]) ).
tcf(c_5291,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(converse(X1))),converse(X2)) = converse(composition(X2,converse(join(X0,X1)))),
inference(superposition,[status(thm)],[c_70,c_271]) ).
tcf(c_5292,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(converse(X0)))),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_73,c_271]) ).
tcf(c_5293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(X1,X2))),converse(X3)) = converse(composition(X3,join(X1,join(converse(X0),X2)))),
inference(superposition,[status(thm)],[c_209,c_271]) ).
tcf(c_5294,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(converse(complement(converse(converse(X0)))))),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_2767,c_271]) ).
tcf(c_5295,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(converse(X0))),converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_3114,c_271]) ).
tcf(c_5296,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,complement(join(converse(X0),X1))))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_433,c_271]) ).
tcf(c_5297,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(complement(converse(X0)),X1))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_2645,c_271]) ).
tcf(c_5298,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(top)),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_2628,c_271]) ).
tcf(c_5299,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(zero)),converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_3047,c_271]) ).
tcf(c_5300,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,complement(converse(X0))))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_2636,c_271]) ).
tcf(c_5301,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(converse(X0),X1))),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_3159,c_271]) ).
tcf(c_5302,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(complement(join(complement(converse(X0)),X1)))),converse(X2)) = converse(composition(X2,converse(X0))),
inference(superposition,[status(thm)],[c_4192,c_271]) ).
tcf(c_5303,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),converse(X1)),converse(X2)) = converse(composition(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c_69,c_271]) ).
tcf(c_5304,plain,
! [X0: $i,X1: $i] : composition(join(top,converse(X0)),converse(X1)) = converse(composition(X1,join(top,X0))),
inference(superposition,[status(thm)],[c_2759,c_271]) ).
tcf(c_5305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(converse(X0),X1),converse(X2)),converse(X3)) = converse(composition(X3,join(join(converse(X1),X0),X2))),
inference(superposition,[status(thm)],[c_312,c_271]) ).
tcf(c_5306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(converse(X0),X1),converse(X2)),converse(X3)) = converse(composition(X3,join(join(X0,converse(X1)),X2))),
inference(superposition,[status(thm)],[c_250,c_271]) ).
tcf(c_5307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,converse(X1)),converse(X2)),converse(X3)) = converse(composition(X3,join(join(X1,converse(X0)),X2))),
inference(superposition,[status(thm)],[c_264,c_271]) ).
tcf(c_5308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,converse(X1)),converse(X2)),converse(X3)) = converse(composition(X3,join(join(converse(X0),X1),X2))),
inference(superposition,[status(thm)],[c_251,c_271]) ).
tcf(c_5309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,converse(X1)),converse(X2)),converse(X3)) = converse(composition(X3,join(composition(X1,converse(X0)),X2))),
inference(superposition,[status(thm)],[c_256,c_271]) ).
tcf(c_5310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(converse(X0),X1),converse(X2)),converse(X3)) = converse(composition(X3,join(composition(converse(X1),X0),X2))),
inference(superposition,[status(thm)],[c_257,c_271]) ).
tcf(c_5312,plain,
! [X0: $i,X1: $i] : composition(join(zero,converse(X0)),converse(X1)) = converse(composition(X1,join(zero,X0))),
inference(superposition,[status(thm)],[c_3363,c_271]) ).
tcf(c_5314,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(one,X0),converse(X1)),converse(X2)) = converse(composition(X2,join(join(one,converse(X0)),X1))),
inference(superposition,[status(thm)],[c_1155,c_271]) ).
tcf(c_5315,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,one),converse(X1)),converse(X2)) = converse(composition(X2,join(join(one,converse(X0)),X1))),
inference(superposition,[status(thm)],[c_1161,c_271]) ).
tcf(c_5316,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(top,X0),converse(X1)),converse(X2)) = converse(composition(X2,join(composition(converse(X0),top),X1))),
inference(superposition,[status(thm)],[c_2778,c_271]) ).
tcf(c_5317,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),converse(X1)),converse(X2)) = converse(composition(X2,join(composition(top,converse(X0)),X1))),
inference(superposition,[status(thm)],[c_2776,c_271]) ).
tcf(c_5318,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(zero,X0),converse(X1)),converse(X2)) = converse(composition(X2,join(composition(converse(X0),zero),X1))),
inference(superposition,[status(thm)],[c_3394,c_271]) ).
tcf(c_5319,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,zero),converse(X1)),converse(X2)) = converse(composition(X2,join(composition(zero,converse(X0)),X1))),
inference(superposition,[status(thm)],[c_3392,c_271]) ).
tcf(c_5320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,join(converse(X1),X2)),converse(X3)),converse(X4)) = converse(composition(X4,join(composition(join(X1,converse(X2)),converse(X0)),X3))),
inference(superposition,[status(thm)],[c_271,c_271]) ).
tcf(c_5321,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(converse(X1),X2)),converse(complement(composition(join(X1,converse(X2)),converse(X0))))) = top,
inference(superposition,[status(thm)],[c_271,c_2767]) ).
tcf(c_5322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(join(X0,converse(X1)),converse(X2)),X3)) = join(converse(X3),composition(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_271,c_312]) ).
tcf(c_5323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(composition(join(X0,converse(X1)),converse(X2)),X3)) = composition(converse(X3),composition(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_271,c_257]) ).
tcf(c_5324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(join(X0,converse(X1)),converse(X2)),X3)) = join(composition(X2,join(converse(X0),X1)),converse(X3)),
inference(superposition,[status(thm)],[c_271,c_250]) ).
tcf(c_5325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(join(X0,converse(X1)),converse(X2)),converse(X3)) = converse(composition(X3,composition(X2,join(converse(X0),X1)))),
inference(superposition,[status(thm)],[c_271,c_71]) ).
tcf(c_5326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(X1)),converse(X2)),converse(X3)) = converse(join(composition(X2,join(converse(X0),X1)),X3)),
inference(superposition,[status(thm)],[c_271,c_70]) ).
tcf(c_5327,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(join(X0,converse(X1)),converse(X2))) = composition(X2,join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_271,c_69]) ).
tcf(c_5328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(join(X1,converse(X2)),converse(X3)))) = join(composition(X3,join(converse(X1),X2)),converse(X0)),
inference(superposition,[status(thm)],[c_271,c_264]) ).
tcf(c_5329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(X1,converse(X2)),converse(X3)),complement(composition(composition(X3,join(converse(X1),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_90]) ).
tcf(c_5330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,composition(join(X1,converse(X2)),converse(X3)))) = composition(composition(X3,join(converse(X1),X2)),converse(X0)),
inference(superposition,[status(thm)],[c_271,c_256]) ).
tcf(c_5331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(join(X1,converse(X2)),converse(X3)))) = join(converse(X0),composition(X3,join(converse(X1),X2))),
inference(superposition,[status(thm)],[c_271,c_251]) ).
tcf(c_5332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(join(X1,converse(X2)),converse(X3))) = converse(composition(composition(X3,join(converse(X1),X2)),X0)),
inference(superposition,[status(thm)],[c_271,c_71]) ).
tcf(c_5333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(join(X1,converse(X2)),converse(X3))) = converse(join(X0,composition(X3,join(converse(X1),X2)))),
inference(superposition,[status(thm)],[c_271,c_70]) ).
tcf(c_5334,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(X1)),converse(converse(X2))) = composition(converse(join(converse(X0),X1)),X2),
inference(superposition,[status(thm)],[c_271,c_257]) ).
tcf(c_5335,plain,
! [X0: $i,X1: $i] : composition(converse(join(converse(X0),X1)),top) = composition(join(X0,converse(X1)),converse(top)),
inference(superposition,[status(thm)],[c_271,c_2778]) ).
tcf(c_5336,plain,
! [X0: $i,X1: $i] : composition(converse(join(converse(X0),X1)),zero) = composition(join(X0,converse(X1)),converse(zero)),
inference(superposition,[status(thm)],[c_271,c_3394]) ).
tcf(c_5339,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),one) = join(converse(X1),X0),
inference(light_normalisation,[status(thm)],[c_5287,c_312,c_1109]) ).
tcf(c_5340,plain,
! [X0: $i,X1: $i] : composition(join(zero,converse(X0)),converse(X1)) = converse(composition(X1,X0)),
inference(light_normalisation,[status(thm)],[c_5312,c_2951]) ).
tcf(c_5341,plain,
! [X0: $i,X1: $i] : composition(join(top,converse(X0)),converse(X1)) = converse(composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_5304,c_2640]) ).
tcf(c_5344,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),zero) = composition(join(X1,converse(X0)),zero),
inference(light_normalisation,[status(thm)],[c_5336,c_312,c_3363]) ).
tcf(c_5345,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),top) = composition(join(X1,converse(X0)),top),
inference(light_normalisation,[status(thm)],[c_5335,c_312,c_2759]) ).
tcf(c_5346,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(X1)),converse(converse(X2))) = composition(join(converse(X1),X0),X2),
inference(light_normalisation,[status(thm)],[c_5334,c_312]) ).
tcf(c_5349,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(converse(complement(X0)))),converse(X1)) = converse(composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_5294,c_69]) ).
tcf(c_5351,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),X1),converse(X2)) = composition(join(X1,converse(X0)),converse(X2)),
inference(light_normalisation,[status(thm)],[c_5301,c_271,c_312,c_3581]) ).
tcf(c_5353,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,converse(X1))),converse(X2)) = converse(composition(X2,join(one,join(converse(X0),X1)))),
inference(theory_normalisation,[status(thm)],[c_5315,c_64,c_63]) ).
tcf(c_5354,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,converse(X1))),converse(X2)) = converse(composition(X2,join(one,join(converse(X0),X1)))),
inference(theory_normalisation,[status(thm)],[c_5314,c_64,c_63]) ).
tcf(c_5355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(converse(X1),converse(X2))),converse(X3)) = converse(composition(X3,join(converse(X0),join(X1,X2)))),
inference(theory_normalisation,[status(thm)],[c_5308,c_64,c_63]) ).
tcf(c_5356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(converse(X1),converse(X2))),converse(X3)) = converse(composition(X3,join(X1,join(converse(X0),X2)))),
inference(theory_normalisation,[status(thm)],[c_5307,c_64,c_63]) ).
tcf(c_5357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(X1,converse(X2))),converse(X3)) = converse(composition(X3,join(X0,join(converse(X1),X2)))),
inference(theory_normalisation,[status(thm)],[c_5306,c_64,c_63]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(X1,converse(X2))),converse(X3)) = converse(composition(X3,join(converse(X1),join(X0,X2)))),
inference(theory_normalisation,[status(thm)],[c_5305,c_64,c_63]) ).
tcf(c_5360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(X1,X2))),converse(X3)) = converse(composition(X3,join(converse(X0),join(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_5359,c_720]) ).
tcf(c_5482,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_64,c_5167]) ).
tcf(c_5487,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_10)),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_5167,c_433]) ).
tcf(c_5488,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_10)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_5167,c_64]) ).
tcf(c_5489,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,iPr_def_10)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_5167,c_209]) ).
tcf(c_5497,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(X0,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_5487,c_64,c_63]) ).
tcf(c_5498,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(X0,iPr_def_10)))) = top,
inference(light_normalisation,[status(thm)],[c_5497,c_2962]) ).
tcf(c_5499,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_5498,c_64,c_63]) ).
tcf(c_5532,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,top),
inference(superposition,[status(thm)],[c_130,c_3698]) ).
tcf(c_5533,plain,
composition(converse(iPr_def_11),sk1) = composition(zero,one),
inference(superposition,[status(thm)],[c_67,c_3698]) ).
tcf(c_5534,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = composition(zero,composition(top,X0)),
inference(superposition,[status(thm)],[c_467,c_3698]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(sk1,X0))) = composition(join(converse(iPr_def_11),X1),composition(sk1,X0)),
inference(superposition,[status(thm)],[c_3698,c_68]) ).
tcf(c_5536,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_11),composition(composition(sk1,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_3698,c_66]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(sk1,X1)),composition(zero,X1)) = composition(join(X0,converse(iPr_def_11)),composition(sk1,X1)),
inference(superposition,[status(thm)],[c_3698,c_68]) ).
tcf(c_5538,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(converse(converse(iPr_def_11)),complement(composition(zero,X0)))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_3698,c_90]) ).
tcf(c_5539,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_11) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_3698,c_257]) ).
tcf(c_5541,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_11) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_5539,c_3394]) ).
tcf(c_5542,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(sk1,X0))) = composition(join(X1,converse(iPr_def_11)),composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_5537,c_64,c_63]) ).
tcf(c_5578,plain,
! [X0: $i] : join(composition(zero,top),composition(X0,iPr_def_10)) = composition(join(converse(iPr_def_11),X0),iPr_def_10),
inference(superposition,[status(thm)],[c_5532,c_68]) ).
tcf(c_5579,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = composition(composition(zero,top),X0),
inference(superposition,[status(thm)],[c_5532,c_66]) ).
tcf(c_5580,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(zero,top)) = composition(join(X0,converse(iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_5532,c_68]) ).
tcf(c_5581,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_11)),complement(composition(zero,top)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_5532,c_90]) ).
tcf(c_5582,plain,
composition(converse(iPr_def_10),iPr_def_11) = converse(composition(zero,top)),
inference(superposition,[status(thm)],[c_5532,c_257]) ).
tcf(c_5584,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),complement(composition(zero,top)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5581,c_3111]) ).
tcf(c_5644,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(X0))) = top,
inference(superposition,[status(thm)],[c_3199,c_3731]) ).
tcf(c_5647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(X0))))) = top,
inference(superposition,[status(thm)],[c_64,c_3731]) ).
tcf(c_5652,plain,
! [X0: $i] : join(iPr_def_12,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_2277,c_3731]) ).
tcf(c_5653,plain,
! [X0: $i] : join(join(iPr_def_11,complement(iPr_def_12)),join(X0,iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_1699,c_3731]) ).
tcf(c_5666,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_3052,c_3731]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(X2,complement(X0))),complement(top))) = top,
inference(superposition,[status(thm)],[c_3731,c_433]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,complement(X0))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_3731,c_64]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_3731,c_64]) ).
tcf(c_5675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_3731,c_209]) ).
tcf(c_5676,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X1)))) = top,
inference(superposition,[status(thm)],[c_3731,c_209]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(zero))) = top,
inference(superposition,[status(thm)],[c_3731,c_2951]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(X1,join(X2,complement(converse(X0)))))),converse(X3)) = converse(composition(X3,top)),
inference(superposition,[status(thm)],[c_3731,c_271]) ).
tcf(c_5682,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_3731,c_250]) ).
tcf(c_5686,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_12))),iPr_def_13) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3731,c_892]) ).
tcf(c_5687,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3731,c_426]) ).
tcf(c_5688,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_11)),iPr_def_13) = top,
inference(superposition,[status(thm)],[c_3731,c_892]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_3731,c_1155]) ).
tcf(c_5700,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_3731,c_3199]) ).
tcf(c_5703,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_5688,c_64,c_63]) ).
tcf(c_5704,plain,
! [X0: $i] : join(X0,join(iPr_def_13,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_5703,c_2962]) ).
tcf(c_5713,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_5666,c_64,c_63]) ).
tcf(c_5722,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_5653,c_64,c_63]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_13,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_5686,c_64,c_63]) ).
tcf(c_5726,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_5725,c_2277]) ).
tcf(c_5727,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_5682,c_2759]) ).
tcf(c_5730,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(X0),complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_5668,c_64,c_63]) ).
tcf(c_5731,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(X0),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_5730,c_121]) ).
tcf(c_5732,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(zero,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_5731,c_64,c_63]) ).
tcf(c_5733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),X3)))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_5669,c_64,c_63]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(iPr_def_13,X1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_5113]) ).
tcf(c_5817,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_13,X0)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5113,c_433]) ).
tcf(c_5818,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_13,X0)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_5113,c_64]) ).
tcf(c_5819,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_13,X1)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5113,c_209]) ).
tcf(c_5827,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(iPr_def_13,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_5817,c_64,c_63]) ).
tcf(c_5828,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_13,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_5827,c_3111]) ).
tcf(c_5835,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_12),X0)) = top,
inference(superposition,[status(thm)],[c_63,c_5700]) ).
tcf(c_5837,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_64,c_5700]) ).
tcf(c_5844,plain,
! [X0: $i] : join(iPr_def_13,join(join(X0,complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_5700,c_433]) ).
tcf(c_5845,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(join(X0,complement(iPr_def_12)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_5700,c_64]) ).
tcf(c_5848,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,complement(iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_5700,c_209]) ).
tcf(c_5849,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_5700,c_209]) ).
tcf(c_5860,plain,
! [X0: $i] : join(iPr_def_13,join(X0,join(complement(iPr_def_12),complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_5844,c_64,c_63]) ).
tcf(c_5861,plain,
! [X0: $i] : join(iPr_def_13,join(X0,join(complement(iPr_def_12),zero))) = top,
inference(light_normalisation,[status(thm)],[c_5860,c_121]) ).
tcf(c_5862,plain,
! [X0: $i] : join(iPr_def_13,join(X0,join(zero,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_5861,c_64,c_63]) ).
tcf(c_5864,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(complement(iPr_def_12),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_5845,c_64,c_63]) ).
tcf(c_5875,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(complement(iPr_def_12),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_5835]) ).
tcf(c_5888,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(join(complement(iPr_def_12),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_5835,c_64]) ).
tcf(c_5889,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(complement(iPr_def_12),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_5835,c_209]) ).
tcf(c_5902,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(complement(iPr_def_12),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_5888,c_64,c_63]) ).
tcf(c_5905,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),composition(X0,converse(sk1))) = composition(join(iPr_def_12,X0),converse(sk1)),
inference(superposition,[status(thm)],[c_4326,c_68]) ).
tcf(c_5906,plain,
! [X0: $i] : composition(composition(iPr_def_11,converse(iPr_def_10)),X0) = composition(iPr_def_12,composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4326,c_66]) ).
tcf(c_5907,plain,
! [X0: $i] : join(composition(X0,converse(sk1)),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(X0,iPr_def_12),converse(sk1)),
inference(superposition,[status(thm)],[c_4326,c_68]) ).
tcf(c_5908,plain,
join(complement(converse(sk1)),composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_10))))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_4326,c_90]) ).
tcf(c_5909,plain,
converse(composition(iPr_def_11,converse(iPr_def_10))) = composition(sk1,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4326,c_256]) ).
tcf(c_5910,plain,
converse(composition(iPr_def_11,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_5909,c_4348]) ).
tcf(c_5963,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(sk1)),composition(X0,converse(iPr_def_10))) = composition(join(sk1,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_68]) ).
tcf(c_5964,plain,
! [X0: $i] : composition(composition(iPr_def_10,converse(sk1)),X0) = composition(sk1,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4327,c_66]) ).
tcf(c_5965,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),composition(iPr_def_10,converse(sk1))) = composition(join(X0,sk1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_68]) ).
tcf(c_5966,plain,
join(complement(converse(iPr_def_10)),composition(converse(sk1),complement(composition(iPr_def_10,converse(sk1))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_90]) ).
tcf(c_5967,plain,
converse(composition(iPr_def_10,converse(sk1))) = composition(iPr_def_10,converse(sk1)),
inference(superposition,[status(thm)],[c_4327,c_256]) ).
tcf(c_5968,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(sk1))) = composition(zero,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_3698]) ).
tcf(c_5972,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_12)),composition(X0,converse(iPr_def_11))) = composition(join(iPr_def_12,X0),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4347,c_68]) ).
tcf(c_5973,plain,
! [X0: $i] : composition(composition(iPr_def_11,converse(iPr_def_12)),X0) = composition(iPr_def_12,composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4347,c_66]) ).
tcf(c_5974,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_11)),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(X0,iPr_def_12),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4347,c_68]) ).
tcf(c_5975,plain,
join(complement(converse(iPr_def_11)),composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_12))))) = complement(converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4347,c_90]) ).
tcf(c_5976,plain,
converse(composition(iPr_def_11,converse(iPr_def_12))) = composition(iPr_def_11,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4347,c_256]) ).
tcf(c_5980,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),composition(X0,converse(iPr_def_12))) = composition(join(sk1,X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_68]) ).
tcf(c_5981,plain,
! [X0: $i] : composition(composition(iPr_def_10,converse(iPr_def_11)),X0) = composition(sk1,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_4348,c_66]) ).
tcf(c_5982,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(X0,sk1),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_68]) ).
tcf(c_5983,plain,
join(complement(converse(iPr_def_12)),composition(converse(sk1),complement(composition(iPr_def_10,converse(iPr_def_11))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_90]) ).
tcf(c_5984,plain,
converse(composition(iPr_def_10,converse(iPr_def_11))) = composition(iPr_def_12,converse(sk1)),
inference(superposition,[status(thm)],[c_4348,c_256]) ).
tcf(c_5985,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(iPr_def_11))) = composition(zero,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_3698]) ).
tcf(c_5986,plain,
converse(composition(iPr_def_10,converse(iPr_def_11))) = composition(iPr_def_11,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_5984,c_4326]) ).
tcf(c_6002,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(X1,join(X2,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_64,c_4555]) ).
tcf(c_6007,plain,
join(iPr_def_12,complement(top)) = iPr_def_12,
inference(superposition,[status(thm)],[c_2277,c_4555]) ).
tcf(c_6008,plain,
join(join(iPr_def_11,complement(iPr_def_12)),complement(iPr_def_10)) = join(iPr_def_11,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_1699,c_4555]) ).
tcf(c_6009,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),X1),complement(X0)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_4192,c_4555]) ).
tcf(c_6012,plain,
! [X0: $i] : join(join(iPr_def_11,X0),complement(iPr_def_10)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5031,c_4555]) ).
tcf(c_6013,plain,
! [X0: $i] : join(join(iPr_def_10,X0),complement(iPr_def_11)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_5033,c_4555]) ).
tcf(c_6014,plain,
! [X0: $i] : join(join(X0,iPr_def_11),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_5094,c_4555]) ).
tcf(c_6015,plain,
! [X0: $i] : join(join(X0,iPr_def_13),complement(iPr_def_10)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_5112,c_4555]) ).
tcf(c_6016,plain,
! [X0: $i] : join(join(iPr_def_13,X0),complement(iPr_def_10)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_5113,c_4555]) ).
tcf(c_6017,plain,
! [X0: $i] : join(join(X0,iPr_def_10),complement(iPr_def_11)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5167,c_4555]) ).
tcf(c_6018,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_4555]) ).
tcf(c_6019,plain,
! [X0: $i] : join(top,complement(join(X0,zero))) = top,
inference(superposition,[status(thm)],[c_121,c_4555]) ).
tcf(c_6023,plain,
! [X0: $i] : join(zero,complement(join(X0,top))) = zero,
inference(superposition,[status(thm)],[c_3052,c_4555]) ).
tcf(c_6025,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X1,complement(X0))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_4555,c_433]) ).
tcf(c_6026,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X1,complement(X0))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4555,c_64]) ).
tcf(c_6028,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X2,complement(join(X0,X1)))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_4555,c_64]) ).
tcf(c_6031,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X2,complement(X0))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_4555,c_209]) ).
tcf(c_6032,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(X1)),complement(X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_4555,c_4555]) ).
tcf(c_6034,plain,
! [X0: $i] : complement(join(X0,complement(zero))) = zero,
inference(superposition,[status(thm)],[c_4555,c_2951]) ).
tcf(c_6037,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(complement(join(X1,complement(converse(X0)))))),converse(X2)) = converse(composition(X2,converse(X0))),
inference(superposition,[status(thm)],[c_4555,c_271]) ).
tcf(c_6039,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_4555,c_250]) ).
tcf(c_6045,plain,
! [X0: $i] : join(iPr_def_13,complement(join(X0,complement(iPr_def_12)))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4555,c_426]) ).
tcf(c_6051,plain,
! [X0: $i] : join(one,converse(complement(join(X0,complement(one))))) = converse(one),
inference(superposition,[status(thm)],[c_4555,c_1155]) ).
tcf(c_6054,plain,
join(iPr_def_12,zero) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_6007,c_121]) ).
tcf(c_6060,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(iPr_def_11))) = join(X0,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_6017,c_64,c_63]) ).
tcf(c_6061,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_10)) = join(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_6060,c_2962]) ).
tcf(c_6062,plain,
! [X0: $i] : join(iPr_def_13,join(X0,complement(iPr_def_10))) = join(iPr_def_13,X0),
inference(theory_normalisation,[status(thm)],[c_6016,c_64,c_63]) ).
tcf(c_6063,plain,
! [X0: $i] : join(iPr_def_13,join(X0,iPr_def_11)) = join(iPr_def_13,X0),
inference(light_normalisation,[status(thm)],[c_6062,c_3111]) ).
tcf(c_6064,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_13)) = join(iPr_def_13,X0),
inference(theory_normalisation,[status(thm)],[c_6063,c_64,c_63]) ).
tcf(c_6065,plain,
! [X0: $i] : join(X0,join(iPr_def_13,complement(iPr_def_10))) = join(X0,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_6015,c_64,c_63]) ).
tcf(c_6066,plain,
! [X0: $i] : join(X0,join(iPr_def_13,iPr_def_11)) = join(X0,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_6065,c_3111]) ).
tcf(c_6069,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_10))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6014,c_64,c_63]) ).
tcf(c_6070,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_11)) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_6069,c_3111]) ).
tcf(c_6071,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_11))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_6013,c_64,c_63]) ).
tcf(c_6072,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_10)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_6071,c_2962]) ).
tcf(c_6073,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_10))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6012,c_64,c_63]) ).
tcf(c_6074,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_11)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_6073,c_3111]) ).
tcf(c_6075,plain,
! [X0: $i] : join(one,converse(complement(join(X0,complement(one))))) = one,
inference(light_normalisation,[status(thm)],[c_6051,c_1109]) ).
tcf(c_6076,plain,
! [X0: $i] : join(iPr_def_13,complement(join(X0,complement(iPr_def_12)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_6045,c_133]) ).
tcf(c_6079,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X1),complement(X1))) = join(X0,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_6032,c_64,c_63]) ).
tcf(c_6080,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(join(X1,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_6025,c_64,c_63]) ).
tcf(c_6082,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,complement(X0))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_6009,c_64,c_63]) ).
tcf(c_6083,plain,
join(iPr_def_11,join(complement(iPr_def_10),complement(iPr_def_12))) = join(iPr_def_11,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_6008,c_64,c_63]) ).
tcf(c_6084,plain,
join(iPr_def_11,join(iPr_def_11,complement(iPr_def_12))) = join(iPr_def_11,complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_6083,c_3111]) ).
tcf(c_6085,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_6039,c_69]) ).
tcf(c_6154,plain,
! [X0: $i,X1: $i] : composition(converse(one),join(X0,converse(X1))) = converse(join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_67,c_274]) ).
tcf(c_6158,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(converse(X2)))) = converse(composition(converse(join(X1,X2)),X0)),
inference(superposition,[status(thm)],[c_70,c_274]) ).
tcf(c_6159,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(complement(converse(X1))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_73,c_274]) ).
tcf(c_6160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(X2,X3)))) = converse(composition(join(X2,join(converse(X1),X3)),X0)),
inference(superposition,[status(thm)],[c_209,c_274]) ).
tcf(c_6161,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(converse(complement(converse(converse(X1))))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2767,c_274]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(converse(X1)))) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_3114,c_274]) ).
tcf(c_6163,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(X2,complement(join(converse(X1),X2)))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_433,c_274]) ).
tcf(c_6164,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(complement(converse(X1)),X2)))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2645,c_274]) ).
tcf(c_6165,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(top))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2628,c_274]) ).
tcf(c_6166,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(zero))) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_3047,c_274]) ).
tcf(c_6167,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(X2,complement(converse(X1)))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2636,c_274]) ).
tcf(c_6168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(X2,join(X3,complement(converse(X1))))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3731,c_274]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(converse(X1),X2)))) = converse(composition(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_3159,c_274]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(complement(join(complement(converse(X1)),X2))))) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_4192,c_274]) ).
tcf(c_6171,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(complement(join(X2,complement(converse(X1))))))) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_4555,c_274]) ).
tcf(c_6172,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),converse(X2))) = converse(composition(join(X1,X2),X0)),
inference(superposition,[status(thm)],[c_69,c_274]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(top,converse(X1))) = converse(composition(join(top,X1),X0)),
inference(superposition,[status(thm)],[c_2759,c_274]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(join(converse(X1),X2),converse(X3))) = converse(composition(join(join(converse(X2),X1),X3),X0)),
inference(superposition,[status(thm)],[c_312,c_274]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(join(converse(X1),X2),converse(X3))) = converse(composition(join(join(X1,converse(X2)),X3),X0)),
inference(superposition,[status(thm)],[c_250,c_274]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(join(X1,converse(X2)),converse(X3))) = converse(composition(join(join(X2,converse(X1)),X3),X0)),
inference(superposition,[status(thm)],[c_264,c_274]) ).
tcf(c_6177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(join(X1,converse(X2)),converse(X3))) = converse(composition(join(join(converse(X1),X2),X3),X0)),
inference(superposition,[status(thm)],[c_251,c_274]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(composition(X1,converse(X2)),converse(X3))) = converse(composition(join(composition(X2,converse(X1)),X3),X0)),
inference(superposition,[status(thm)],[c_256,c_274]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(composition(converse(X1),X2),converse(X3))) = converse(composition(join(composition(converse(X2),X1),X3),X0)),
inference(superposition,[status(thm)],[c_257,c_274]) ).
tcf(c_6180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(composition(X1,join(converse(X2),X3)),converse(X4))) = converse(composition(join(composition(join(X2,converse(X3)),converse(X1)),X4),X0)),
inference(superposition,[status(thm)],[c_271,c_274]) ).
tcf(c_6182,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(zero,converse(X1))) = converse(composition(join(zero,X1),X0)),
inference(superposition,[status(thm)],[c_3363,c_274]) ).
tcf(c_6184,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(join(one,X1),converse(X2))) = converse(composition(join(join(one,converse(X1)),X2),X0)),
inference(superposition,[status(thm)],[c_1155,c_274]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(join(X1,one),converse(X2))) = converse(composition(join(join(one,converse(X1)),X2),X0)),
inference(superposition,[status(thm)],[c_1161,c_274]) ).
tcf(c_6186,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(composition(top,X1),converse(X2))) = converse(composition(join(composition(converse(X1),top),X2),X0)),
inference(superposition,[status(thm)],[c_2778,c_274]) ).
tcf(c_6187,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(composition(X1,top),converse(X2))) = converse(composition(join(composition(top,converse(X1)),X2),X0)),
inference(superposition,[status(thm)],[c_2776,c_274]) ).
tcf(c_6188,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(composition(zero,X1),converse(X2))) = converse(composition(join(composition(converse(X1),zero),X2),X0)),
inference(superposition,[status(thm)],[c_3394,c_274]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(composition(X1,zero),converse(X2))) = converse(composition(join(composition(zero,converse(X1)),X2),X0)),
inference(superposition,[status(thm)],[c_3392,c_274]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(join(converse(X0),X1),X2),converse(X3)),converse(X4)) = converse(composition(X4,join(composition(converse(X2),join(X0,converse(X1))),X3))),
inference(superposition,[status(thm)],[c_274,c_271]) ).
tcf(c_6191,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(X0),X1),X2),converse(complement(composition(converse(X2),join(X0,converse(X1)))))) = top,
inference(superposition,[status(thm)],[c_274,c_2767]) ).
tcf(c_6192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(converse(X0),join(X1,converse(X2))),X3)) = join(converse(X3),composition(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_274,c_312]) ).
tcf(c_6193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(composition(converse(X0),join(X1,converse(X2))),X3)) = composition(converse(X3),composition(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_274,c_257]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(converse(X0),join(X1,converse(X2))),X3)) = join(composition(join(converse(X1),X2),X0),converse(X3)),
inference(superposition,[status(thm)],[c_274,c_250]) ).
tcf(c_6195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(converse(X0),join(X1,converse(X2))),converse(X3)) = converse(composition(X3,composition(join(converse(X1),X2),X0))),
inference(superposition,[status(thm)],[c_274,c_71]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(X0),join(X1,converse(X2))),converse(X3)) = converse(join(composition(join(converse(X1),X2),X0),X3)),
inference(superposition,[status(thm)],[c_274,c_70]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(converse(X0),join(X1,converse(X2)))) = composition(join(converse(X1),X2),X0),
inference(superposition,[status(thm)],[c_274,c_69]) ).
tcf(c_6198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(composition(join(converse(X1),X2),X3),converse(X4))) = converse(composition(join(composition(converse(X3),join(X1,converse(X2))),X4),X0)),
inference(superposition,[status(thm)],[c_274,c_274]) ).
tcf(c_6199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(converse(X1),join(X2,converse(X3))))) = join(composition(join(converse(X2),X3),X1),converse(X0)),
inference(superposition,[status(thm)],[c_274,c_264]) ).
tcf(c_6200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(converse(X1),join(X2,converse(X3))),complement(composition(composition(join(converse(X2),X3),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_90]) ).
tcf(c_6201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,composition(converse(X1),join(X2,converse(X3))))) = composition(composition(join(converse(X2),X3),X1),converse(X0)),
inference(superposition,[status(thm)],[c_274,c_256]) ).
tcf(c_6202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(converse(X1),join(X2,converse(X3))))) = join(converse(X0),composition(join(converse(X2),X3),X1)),
inference(superposition,[status(thm)],[c_274,c_251]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(converse(X1),join(X2,converse(X3)))) = converse(composition(composition(join(converse(X2),X3),X1),X0)),
inference(superposition,[status(thm)],[c_274,c_71]) ).
tcf(c_6204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(converse(X1),join(X2,converse(X3)))) = converse(join(X0,composition(join(converse(X2),X3),X1))),
inference(superposition,[status(thm)],[c_274,c_70]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(converse(X0)),join(X1,converse(X2))) = composition(X0,converse(join(converse(X1),X2))),
inference(superposition,[status(thm)],[c_274,c_256]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(join(converse(X0),X1)),join(X2,converse(X3))) = composition(join(X0,converse(X1)),converse(join(converse(X2),X3))),
inference(superposition,[status(thm)],[c_274,c_271]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i] : composition(converse(top),join(X0,converse(X1))) = composition(top,converse(join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_274,c_2776]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i] : composition(converse(zero),join(X0,converse(X1))) = composition(zero,converse(join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_274,c_3392]) ).
tcf(c_6209,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,top)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6165,c_2759,c_2778]) ).
tcf(c_6210,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,zero)) = converse(composition(converse(X1),X0)),
inference(light_normalisation,[status(thm)],[c_6166,c_3363]) ).
tcf(c_6211,plain,
! [X0: $i,X1: $i] : composition(one,join(X0,converse(X1))) = join(converse(X1),X0),
inference(light_normalisation,[status(thm)],[c_6154,c_312,c_1109]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(complement(converse(X1))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6159,c_2778]) ).
tcf(c_6213,plain,
! [X0: $i,X1: $i] : composition(zero,join(converse(X0),X1)) = composition(zero,join(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_6208,c_312,c_3363]) ).
tcf(c_6214,plain,
! [X0: $i,X1: $i] : composition(top,join(converse(X0),X1)) = composition(top,join(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_6207,c_312,c_2759]) ).
tcf(c_6215,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,converse(join(converse(X1),X2))) = composition(X0,join(X1,converse(X2))),
inference(light_normalisation,[status(thm)],[c_6205,c_69]) ).
tcf(c_6216,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(X2,complement(converse(X1)))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6167,c_2778]) ).
tcf(c_6217,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(complement(converse(X1)),X2)))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6164,c_2778]) ).
tcf(c_6218,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(X1,converse(converse(complement(converse(converse(X1))))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6161,c_2778]) ).
tcf(c_6219,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(converse(X1),X2)))) = composition(converse(X0),join(X1,converse(X2))),
inference(light_normalisation,[status(thm)],[c_6169,c_274]) ).
tcf(c_6220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(X2,join(X3,complement(converse(X1))))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6168,c_2778]) ).
tcf(c_6221,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(join(X2,complement(join(converse(X1),X2)))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_6163,c_2778]) ).
tcf(c_6222,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,join(one,converse(X2)))) = converse(composition(join(one,join(converse(X1),X2)),X0)),
inference(theory_normalisation,[status(thm)],[c_6185,c_64,c_63]) ).
tcf(c_6223,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(one,join(X1,converse(X2)))) = converse(composition(join(one,join(converse(X1),X2)),X0)),
inference(theory_normalisation,[status(thm)],[c_6184,c_64,c_63]) ).
tcf(c_6224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,join(converse(X2),converse(X3)))) = converse(composition(join(converse(X1),join(X2,X3)),X0)),
inference(theory_normalisation,[status(thm)],[c_6177,c_64,c_63]) ).
tcf(c_6225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,join(converse(X2),converse(X3)))) = converse(composition(join(X2,join(converse(X1),X3)),X0)),
inference(theory_normalisation,[status(thm)],[c_6176,c_64,c_63]) ).
tcf(c_6226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),join(X2,converse(X3)))) = converse(composition(join(X1,join(converse(X2),X3)),X0)),
inference(theory_normalisation,[status(thm)],[c_6175,c_64,c_63]) ).
tcf(c_6227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),join(X2,converse(X3)))) = converse(composition(join(converse(X2),join(X1,X3)),X0)),
inference(theory_normalisation,[status(thm)],[c_6174,c_64,c_63]) ).
tcf(c_6228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(X1)),converse(join(converse(X2),X3))) = composition(join(converse(X1),X0),join(X2,converse(X3))),
inference(light_normalisation,[status(thm)],[c_6206,c_312]) ).
tcf(c_6419,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_13))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_63,c_4269]) ).
tcf(c_6422,plain,
join(iPr_def_10,complement(complement(iPr_def_13))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_73,c_4269]) ).
tcf(c_6423,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_13)))) = join(iPr_def_10,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_90,c_4269]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_13),X1))) = join(iPr_def_10,join(X0,X1)),
inference(superposition,[status(thm)],[c_209,c_4269]) ).
tcf(c_6425,plain,
join(iPr_def_10,converse(complement(converse(complement(iPr_def_13))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2767,c_4269]) ).
tcf(c_6426,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(join(complement(iPr_def_13),X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_433,c_4269]) ).
tcf(c_6427,plain,
! [X0: $i] : join(iPr_def_10,join(complement(complement(iPr_def_13)),X0)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2645,c_4269]) ).
tcf(c_6428,plain,
join(iPr_def_10,complement(iPr_def_13)) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_3047,c_4269]) ).
tcf(c_6429,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(complement(iPr_def_13)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2636,c_4269]) ).
tcf(c_6430,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_12)))) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_1699,c_4269]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(iPr_def_13))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3731,c_4269]) ).
tcf(c_6432,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(complement(iPr_def_13)),X0))) = join(iPr_def_10,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_4192,c_4269]) ).
tcf(c_6433,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,complement(complement(iPr_def_13))))) = join(iPr_def_10,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_4555,c_4269]) ).
tcf(c_6434,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4269,c_3159]) ).
tcf(c_6435,plain,
! [X0: $i] : join(iPr_def_10,join(join(complement(iPr_def_13),X0),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_4269,c_433]) ).
tcf(c_6437,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_13),X1))) = join(X0,join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_4269,c_209]) ).
tcf(c_6439,plain,
join(iPr_def_10,complement(join(iPr_def_10,complement(iPr_def_13)))) = top,
inference(superposition,[status(thm)],[c_4269,c_433]) ).
tcf(c_6442,plain,
join(iPr_def_10,complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_4269,c_2636]) ).
tcf(c_6444,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_4269,c_2873]) ).
tcf(c_6446,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_4269,c_3428]) ).
tcf(c_6448,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(X0))) = top,
inference(superposition,[status(thm)],[c_4269,c_3731]) ).
tcf(c_6449,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4269,c_3731]) ).
tcf(c_6458,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_13),join(X0,complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_6435,c_64,c_63]) ).
tcf(c_6459,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,complement(complement(iPr_def_13))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6433,c_4260]) ).
tcf(c_6460,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(complement(iPr_def_13)),X0))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6432,c_4260]) ).
tcf(c_6462,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_13)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6423,c_4260]) ).
tcf(c_7029,plain,
join(iPr_def_10,complement(join(iPr_def_13,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3199,c_5222]) ).
tcf(c_7030,plain,
join(iPr_def_10,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4269,c_5222]) ).
tcf(c_7033,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,complement(join(X0,join(X1,join(X2,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_5222]) ).
tcf(c_7037,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2640,c_5222]) ).
tcf(c_7039,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5222,c_433]) ).
tcf(c_7040,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_5222,c_64]) ).
tcf(c_7041,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,complement(join(X1,join(X2,iPr_def_11))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5222,c_209]) ).
tcf(c_7043,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_11)),complement(iPr_def_10)) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_5222,c_4555]) ).
tcf(c_7044,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_11)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_5222,c_2636]) ).
tcf(c_7046,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,iPr_def_11)),join(X2,iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_5222,c_3731]) ).
tcf(c_7049,plain,
join(iPr_def_10,complement(join(iPr_def_11,iPr_def_13))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7029,c_64,c_63]) ).
tcf(c_7055,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_7044,c_64,c_63]) ).
tcf(c_7058,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(iPr_def_10,join(X2,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_7046,c_64,c_63]) ).
tcf(c_7059,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,join(X1,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_7039,c_64,c_63]) ).
tcf(c_7060,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_7059,c_3111]) ).
tcf(c_7061,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(iPr_def_10)))) = join(X0,join(X1,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_7043,c_64,c_63]) ).
tcf(c_7062,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,iPr_def_11))) = join(X0,join(X1,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_7061,c_3111]) ).
tcf(c_7087,plain,
join(iPr_def_10,complement(join(iPr_def_13,iPr_def_13))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3199,c_5257]) ).
tcf(c_7090,plain,
join(iPr_def_10,complement(join(iPr_def_10,iPr_def_13))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4269,c_5257]) ).
tcf(c_7093,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,complement(join(X0,join(X1,join(X2,iPr_def_13))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_5257]) ).
tcf(c_7101,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_13))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5257,c_433]) ).
tcf(c_7102,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_13))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_5257,c_64]) ).
tcf(c_7103,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,complement(join(X1,join(X2,iPr_def_13))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5257,c_209]) ).
tcf(c_7105,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_13)),complement(iPr_def_10)) = join(X0,join(X1,iPr_def_13)),
inference(superposition,[status(thm)],[c_5257,c_4555]) ).
tcf(c_7106,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_13)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_5257,c_2636]) ).
tcf(c_7108,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,iPr_def_13)),join(X2,iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_5257,c_3731]) ).
tcf(c_7110,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,iPr_def_13))) = top,
inference(theory_normalisation,[status(thm)],[c_7106,c_64,c_63]) ).
tcf(c_7113,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(iPr_def_10,join(X2,iPr_def_13)))) = top,
inference(theory_normalisation,[status(thm)],[c_7108,c_64,c_63]) ).
tcf(c_7114,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,join(X1,iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_7101,c_64,c_63]) ).
tcf(c_7115,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_13))))) = top,
inference(light_normalisation,[status(thm)],[c_7114,c_3111]) ).
tcf(c_7116,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_13,complement(iPr_def_10)))) = join(X0,join(X1,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_7105,c_64,c_63]) ).
tcf(c_7117,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_13,iPr_def_11))) = join(X0,join(X1,iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_7116,c_3111]) ).
tcf(c_7118,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,iPr_def_13))) = join(X0,join(X1,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_7117,c_64,c_63]) ).
tcf(c_7141,plain,
join(iPr_def_11,join(complement(join(iPr_def_11,complement(iPr_def_13))),complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_4561,c_433]) ).
tcf(c_7142,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(iPr_def_13))),X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_4561,c_64]) ).
tcf(c_7143,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(iPr_def_13))))) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_4561,c_209]) ).
tcf(c_7145,plain,
join(join(iPr_def_11,complement(iPr_def_13)),complement(iPr_def_13)) = join(iPr_def_11,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_4561,c_4555]) ).
tcf(c_7150,plain,
! [X0: $i] : join(join(iPr_def_11,complement(iPr_def_13)),join(X0,iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_4561,c_3731]) ).
tcf(c_7152,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_13,join(X0,complement(iPr_def_13)))) = top,
inference(theory_normalisation,[status(thm)],[c_7150,c_64,c_63]) ).
tcf(c_7153,plain,
join(iPr_def_11,join(complement(iPr_def_13),complement(iPr_def_13))) = join(iPr_def_11,complement(iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_7145,c_64,c_63]) ).
tcf(c_7154,plain,
join(iPr_def_11,join(complement(iPr_def_13),complement(join(iPr_def_11,complement(iPr_def_13))))) = top,
inference(theory_normalisation,[status(thm)],[c_7141,c_64,c_63]) ).
tcf(c_7161,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(converse(iPr_def_12),sk1),
inference(light_normalisation,[status(thm)],[c_4851,c_5582]) ).
tcf(c_7162,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),iPr_def_11),composition(X0,sk1)) = composition(join(converse(iPr_def_12),X0),sk1),
inference(superposition,[status(thm)],[c_7161,c_68]) ).
tcf(c_7163,plain,
! [X0: $i] : composition(composition(converse(iPr_def_10),iPr_def_11),X0) = composition(converse(iPr_def_12),composition(sk1,X0)),
inference(superposition,[status(thm)],[c_7161,c_66]) ).
tcf(c_7164,plain,
! [X0: $i] : join(composition(X0,sk1),composition(converse(iPr_def_10),iPr_def_11)) = composition(join(X0,converse(iPr_def_12)),sk1),
inference(superposition,[status(thm)],[c_7161,c_68]) ).
tcf(c_7165,plain,
join(complement(sk1),composition(converse(converse(iPr_def_12)),complement(composition(converse(iPr_def_10),iPr_def_11)))) = complement(sk1),
inference(superposition,[status(thm)],[c_7161,c_90]) ).
tcf(c_7166,plain,
converse(composition(converse(iPr_def_10),iPr_def_11)) = composition(converse(sk1),iPr_def_12),
inference(superposition,[status(thm)],[c_7161,c_257]) ).
tcf(c_7167,plain,
converse(composition(converse(iPr_def_10),iPr_def_11)) = composition(zero,top),
inference(light_normalisation,[status(thm)],[c_7166,c_4825]) ).
tcf(c_7176,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,complement(join(X0,join(complement(iPr_def_12),X1)))) = iPr_def_13,
inference(superposition,[status(thm)],[c_209,c_5068]) ).
tcf(c_7183,plain,
join(iPr_def_13,complement(top)) = iPr_def_13,
inference(superposition,[status(thm)],[c_2636,c_5068]) ).
tcf(c_7186,plain,
join(iPr_def_13,complement(complement(iPr_def_12))) = iPr_def_13,
inference(superposition,[status(thm)],[c_4192,c_5068]) ).
tcf(c_7189,plain,
! [X0: $i] : join(iPr_def_13,join(complement(join(complement(iPr_def_12),X0)),complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_5068,c_433]) ).
tcf(c_7190,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(complement(join(complement(iPr_def_12),X0)),X1)) = join(iPr_def_13,X1),
inference(superposition,[status(thm)],[c_5068,c_64]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,complement(join(complement(iPr_def_12),X1)))) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_5068,c_209]) ).
tcf(c_7193,plain,
! [X0: $i] : join(join(complement(iPr_def_12),X0),complement(iPr_def_13)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_5068,c_4555]) ).
tcf(c_7206,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(iPr_def_13))) = join(complement(iPr_def_12),X0),
inference(theory_normalisation,[status(thm)],[c_7193,c_64,c_63]) ).
tcf(c_7207,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_13),complement(join(complement(iPr_def_12),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_7189,c_64,c_63]) ).
tcf(c_7212,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(top,zero),
inference(demodulation,[status(thm)],[c_5582,c_2759,c_3394]) ).
tcf(c_7213,plain,
composition(converse(iPr_def_12),sk1) = composition(top,zero),
inference(demodulation,[status(thm)],[c_7161,c_7212]) ).
tcf(c_7214,plain,
! [X0: $i] : join(composition(top,zero),composition(X0,iPr_def_11)) = composition(join(converse(iPr_def_10),X0),iPr_def_11),
inference(superposition,[status(thm)],[c_7212,c_68]) ).
tcf(c_7215,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = composition(composition(top,zero),X0),
inference(superposition,[status(thm)],[c_7212,c_66]) ).
tcf(c_7216,plain,
! [X0: $i] : join(composition(X0,iPr_def_11),composition(top,zero)) = composition(join(X0,converse(iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_7212,c_68]) ).
tcf(c_7217,plain,
join(complement(iPr_def_11),composition(converse(converse(iPr_def_10)),complement(composition(top,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_7212,c_90]) ).
tcf(c_7218,plain,
composition(converse(iPr_def_11),iPr_def_10) = converse(composition(top,zero)),
inference(superposition,[status(thm)],[c_7212,c_257]) ).
tcf(c_7219,plain,
converse(composition(top,zero)) = composition(zero,top),
inference(light_normalisation,[status(thm)],[c_7218,c_5532]) ).
tcf(c_7220,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),complement(composition(top,zero)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7217,c_2962]) ).
tcf(c_7240,plain,
! [X0: $i] : join(composition(top,zero),composition(X0,sk1)) = composition(join(converse(iPr_def_12),X0),sk1),
inference(superposition,[status(thm)],[c_7213,c_68]) ).
tcf(c_7241,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = composition(composition(top,zero),X0),
inference(superposition,[status(thm)],[c_7213,c_66]) ).
tcf(c_7242,plain,
! [X0: $i] : join(composition(X0,sk1),composition(top,zero)) = composition(join(X0,converse(iPr_def_12)),sk1),
inference(superposition,[status(thm)],[c_7213,c_68]) ).
tcf(c_7243,plain,
join(complement(sk1),composition(converse(converse(iPr_def_12)),complement(composition(top,zero)))) = complement(sk1),
inference(superposition,[status(thm)],[c_7213,c_90]) ).
tcf(c_7244,plain,
composition(converse(sk1),iPr_def_12) = converse(composition(top,zero)),
inference(superposition,[status(thm)],[c_7213,c_257]) ).
tcf(c_7251,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),X2) = join(X2,converse(join(X0,X1))),
inference(light_normalisation,[status(thm)],[c_275,c_720,c_1477]) ).
tcf(c_7269,plain,
join(iPr_def_11,complement(join(iPr_def_13,iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3199,c_5482]) ).
tcf(c_7270,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_4269,c_5482]) ).
tcf(c_7273,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_64,c_5482]) ).
tcf(c_7276,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,top))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2640,c_5482]) ).
tcf(c_7278,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_5482,c_433]) ).
tcf(c_7279,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_5482,c_64]) ).
tcf(c_7280,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(X2,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_5482,c_209]) ).
tcf(c_7282,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_10)),complement(iPr_def_11)) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_5482,c_4555]) ).
tcf(c_7289,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_13))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7269,c_64,c_63]) ).
tcf(c_7299,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(X0,join(X1,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_7278,c_64,c_63]) ).
tcf(c_7300,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(X0,join(X1,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_7299,c_2962]) ).
tcf(c_7301,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_7300,c_64,c_63]) ).
tcf(c_7303,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,complement(iPr_def_11)))) = join(X0,join(X1,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_7282,c_64,c_63]) ).
tcf(c_7304,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,iPr_def_10))) = join(X0,join(X1,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_7303,c_2962]) ).
tcf(c_7331,plain,
join(iPr_def_13,join(iPr_def_13,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_3199,c_5837]) ).
tcf(c_7332,plain,
join(iPr_def_13,join(iPr_def_10,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_4269,c_5837]) ).
tcf(c_7335,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_13,join(X0,join(X1,join(X2,complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_64,c_5837]) ).
tcf(c_7339,plain,
! [X0: $i] : join(iPr_def_13,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_2640,c_5837]) ).
tcf(c_7342,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(join(X0,join(X1,complement(iPr_def_12))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5837,c_433]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_13,join(join(X0,join(X1,complement(iPr_def_12))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_5837,c_64]) ).
tcf(c_7346,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_13,join(X0,join(X1,join(X2,complement(iPr_def_12))))) = join(X0,top),
inference(superposition,[status(thm)],[c_5837,c_209]) ).
tcf(c_7347,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_13,join(X1,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_5837,c_209]) ).
tcf(c_7357,plain,
join(iPr_def_10,join(iPr_def_13,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_7332,c_64,c_63]) ).
tcf(c_7363,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,join(complement(iPr_def_12),complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_7342,c_64,c_63]) ).
tcf(c_7364,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,join(complement(iPr_def_12),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_7363,c_121]) ).
tcf(c_7365,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,join(X1,join(zero,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_7364,c_64,c_63]) ).
tcf(c_7367,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_13,join(X0,join(X1,join(complement(iPr_def_12),X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_7343,c_64,c_63]) ).
tcf(c_7387,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(iPr_def_13)))) = join(iPr_def_10,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_6419]) ).
tcf(c_7388,plain,
join(iPr_def_10,top) = join(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_73,c_6419]) ).
tcf(c_7391,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,complement(iPr_def_13)),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_6419,c_433]) ).
tcf(c_7395,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(iPr_def_13)))) = join(X0,join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_6419,c_209]) ).
tcf(c_7396,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(iPr_def_13))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_6419,c_209]) ).
tcf(c_7404,plain,
join(iPr_def_10,complement(iPr_def_13)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_6419,c_3159]) ).
tcf(c_7407,plain,
! [X0: $i] : join(X0,iPr_def_10) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_7396,c_4260]) ).
tcf(c_7408,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_13),complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_7391,c_64,c_63]) ).
tcf(c_7422,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_13))) = join(iPr_def_13,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_6064]) ).
tcf(c_7423,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_2951,c_6064]) ).
tcf(c_7426,plain,
join(iPr_def_11,top) = join(iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_2638,c_6064]) ).
tcf(c_7428,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_3181,c_6064]) ).
tcf(c_7430,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_13),complement(join(iPr_def_13,X0)))) = top,
inference(superposition,[status(thm)],[c_6064,c_433]) ).
tcf(c_7431,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_13),X1)) = join(join(iPr_def_13,X0),X1),
inference(superposition,[status(thm)],[c_6064,c_64]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_13))) = join(X0,join(iPr_def_13,X1)),
inference(superposition,[status(thm)],[c_6064,c_209]) ).
tcf(c_7435,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_13)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_6064,c_209]) ).
tcf(c_7452,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_12,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_7428,c_64,c_63]) ).
tcf(c_7454,plain,
join(iPr_def_10,iPr_def_13) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_7426,c_64,c_63]) ).
tcf(c_7460,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_13,complement(join(iPr_def_13,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_7430,c_64,c_63]) ).
tcf(c_7461,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_13,X1))) = join(iPr_def_13,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_7431,c_64,c_63]) ).
tcf(c_7490,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_10))) = join(iPr_def_10,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_6072]) ).
tcf(c_7491,plain,
join(iPr_def_10,zero) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_2951,c_6072]) ).
tcf(c_7493,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_10),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_6072,c_433]) ).
tcf(c_7494,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_10),X1)) = join(join(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_6072,c_64]) ).
tcf(c_7497,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_10))) = join(X0,join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_6072,c_209]) ).
tcf(c_7498,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_10)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_6072,c_209]) ).
tcf(c_7507,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_7493,c_64,c_63]) ).
tcf(c_7508,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,X1))) = join(iPr_def_10,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_7494,c_64,c_63]) ).
tcf(c_7522,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_11))) = join(iPr_def_11,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_6074]) ).
tcf(c_7523,plain,
join(iPr_def_11,zero) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_2951,c_6074]) ).
tcf(c_7524,plain,
join(iPr_def_11,top) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_235,c_6074]) ).
tcf(c_7526,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_6074,c_433]) ).
tcf(c_7527,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_6074,c_64]) ).
tcf(c_7530,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_11))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_6074,c_209]) ).
tcf(c_7531,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_11)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_6074,c_209]) ).
tcf(c_7534,plain,
join(iPr_def_11,complement(iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_6074,c_2645]) ).
tcf(c_7547,plain,
join(iPr_def_10,iPr_def_11) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_7524,c_64,c_63]) ).
tcf(c_7551,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_7526,c_64,c_63]) ).
tcf(c_7552,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,X1))) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_7527,c_64,c_63]) ).
tcf(c_7572,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,complement(join(X0,join(X1,complement(iPr_def_12))))) = iPr_def_13,
inference(superposition,[status(thm)],[c_64,c_6076]) ).
tcf(c_7579,plain,
! [X0: $i] : join(iPr_def_13,join(complement(join(X0,complement(iPr_def_12))),complement(iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_6076,c_433]) ).
tcf(c_7580,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(complement(join(X0,complement(iPr_def_12))),X1)) = join(iPr_def_13,X1),
inference(superposition,[status(thm)],[c_6076,c_64]) ).
tcf(c_7581,plain,
! [X0: $i,X1: $i] : join(iPr_def_13,join(X0,complement(join(X1,complement(iPr_def_12))))) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_6076,c_209]) ).
tcf(c_7583,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),complement(iPr_def_13)) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_6076,c_4555]) ).
tcf(c_7594,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_12),complement(iPr_def_13))) = join(X0,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_7583,c_64,c_63]) ).
tcf(c_7595,plain,
! [X0: $i] : join(iPr_def_13,join(complement(iPr_def_13),complement(join(X0,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_7579,c_64,c_63]) ).
tcf(c_7618,plain,
! [X0: $i] : join(X0,iPr_def_11) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_7531,c_3114]) ).
tcf(c_7619,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(X2))) = join(converse(join(X2,X1)),X0),
inference(light_normalisation,[status(thm)],[c_276,c_1524]) ).
tcf(c_7620,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),X2) = join(X2,converse(join(X1,X0))),
inference(demodulation,[status(thm)],[c_7619,c_70]) ).
tcf(c_7621,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_378,c_2951]) ).
tcf(c_7622,plain,
! [X0: $i] : composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_69,c_7621]) ).
tcf(c_7623,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_2759,c_7621]) ).
tcf(c_7624,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),top))) = zero,
inference(superposition,[status(thm)],[c_312,c_7621]) ).
tcf(c_7625,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),top))) = zero,
inference(superposition,[status(thm)],[c_250,c_7621]) ).
tcf(c_7626,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_264,c_7621]) ).
tcf(c_7627,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),top))) = zero,
inference(superposition,[status(thm)],[c_251,c_7621]) ).
tcf(c_7628,plain,
! [X0: $i,X1: $i] : composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_256,c_7621]) ).
tcf(c_7629,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),top))) = zero,
inference(superposition,[status(thm)],[c_257,c_7621]) ).
tcf(c_7630,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(X0,converse(X1)),converse(X2)),complement(composition(composition(X2,join(converse(X0),X1)),top))) = zero,
inference(superposition,[status(thm)],[c_271,c_7621]) ).
tcf(c_7631,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(converse(X0),join(X1,converse(X2))),complement(composition(composition(join(converse(X1),X2),X0),top))) = zero,
inference(superposition,[status(thm)],[c_274,c_7621]) ).
tcf(c_7632,plain,
composition(zero,complement(composition(zero,top))) = zero,
inference(superposition,[status(thm)],[c_3363,c_7621]) ).
tcf(c_7633,plain,
composition(one,complement(composition(one,top))) = zero,
inference(superposition,[status(thm)],[c_1109,c_7621]) ).
tcf(c_7634,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(join(one,X0),top))) = zero,
inference(superposition,[status(thm)],[c_1155,c_7621]) ).
tcf(c_7635,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(join(X0,one),top))) = zero,
inference(superposition,[status(thm)],[c_1161,c_7621]) ).
tcf(c_7636,plain,
! [X0: $i] : composition(composition(converse(X0),top),complement(composition(composition(top,X0),top))) = zero,
inference(superposition,[status(thm)],[c_2778,c_7621]) ).
tcf(c_7637,plain,
! [X0: $i] : composition(composition(top,converse(X0)),complement(composition(composition(X0,top),top))) = zero,
inference(superposition,[status(thm)],[c_2776,c_7621]) ).
tcf(c_7638,plain,
! [X0: $i] : composition(composition(converse(X0),zero),complement(composition(composition(zero,X0),top))) = zero,
inference(superposition,[status(thm)],[c_3394,c_7621]) ).
tcf(c_7639,plain,
! [X0: $i] : composition(composition(zero,converse(X0)),complement(composition(composition(X0,zero),top))) = zero,
inference(superposition,[status(thm)],[c_3392,c_7621]) ).
tcf(c_7640,plain,
composition(converse(sk1),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_130,c_7621]) ).
tcf(c_7641,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero,
inference(superposition,[status(thm)],[c_66,c_7621]) ).
tcf(c_7643,plain,
composition(converse(one),complement(top)) = zero,
inference(superposition,[status(thm)],[c_1118,c_7621]) ).
tcf(c_7644,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),complement(composition(X0,top))) = join(zero,composition(X1,complement(composition(X0,top)))),
inference(superposition,[status(thm)],[c_7621,c_68]) ).
tcf(c_7645,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(complement(composition(X0,top)),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_7621,c_66]) ).
tcf(c_7646,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(X1,top))) = join(composition(X0,complement(composition(X1,top))),zero),
inference(superposition,[status(thm)],[c_7621,c_68]) ).
tcf(c_7647,plain,
! [X0: $i] : join(complement(complement(composition(X0,top))),composition(converse(converse(X0)),complement(zero))) = complement(complement(composition(X0,top))),
inference(superposition,[status(thm)],[c_7621,c_90]) ).
tcf(c_7648,plain,
join(complement(top),zero) = complement(top),
inference(superposition,[status(thm)],[c_7621,c_90]) ).
tcf(c_7649,plain,
! [X0: $i] : composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_7621,c_257]) ).
tcf(c_7650,plain,
join(zero,complement(top)) = complement(top),
inference(theory_normalisation,[status(thm)],[c_7648,c_64,c_63]) ).
tcf(c_7654,plain,
! [X0: $i] : composition(converse(complement(composition(X0,top))),X0) = zero,
inference(light_normalisation,[status(thm)],[c_7649,c_3363]) ).
tcf(c_7655,plain,
! [X0: $i] : join(complement(complement(composition(X0,top))),composition(X0,top)) = complement(complement(composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_7647,c_69,c_3052]) ).
tcf(c_7656,plain,
! [X0: $i] : join(composition(X0,top),complement(complement(composition(X0,top)))) = complement(complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_7655,c_64,c_63]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(X1,top))) = join(zero,composition(X0,complement(composition(X1,top)))),
inference(theory_normalisation,[status(thm)],[c_7646,c_64,c_63]) ).
tcf(c_7705,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,join(converse(X1),X2)),complement(composition(composition(join(X1,converse(X2)),converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_271,c_7622]) ).
tcf(c_7706,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(converse(X0),X1),X2),complement(composition(composition(converse(X2),join(X0,converse(X1))),top))) = zero,
inference(superposition,[status(thm)],[c_274,c_7622]) ).
tcf(c_7709,plain,
! [X0: $i] : composition(join(one,X0),complement(composition(join(one,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_1155,c_7622]) ).
tcf(c_7710,plain,
! [X0: $i] : composition(join(X0,one),complement(composition(join(one,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_1161,c_7622]) ).
tcf(c_7711,plain,
! [X0: $i] : composition(composition(top,X0),complement(composition(composition(converse(X0),top),top))) = zero,
inference(superposition,[status(thm)],[c_2778,c_7622]) ).
tcf(c_7712,plain,
! [X0: $i] : composition(composition(X0,top),complement(composition(composition(top,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_2776,c_7622]) ).
tcf(c_7713,plain,
! [X0: $i] : composition(composition(zero,X0),complement(composition(composition(converse(X0),zero),top))) = zero,
inference(superposition,[status(thm)],[c_3394,c_7622]) ).
tcf(c_7714,plain,
! [X0: $i] : composition(composition(X0,zero),complement(composition(composition(zero,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_3392,c_7622]) ).
tcf(c_7715,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),complement(composition(converse(X0),top))) = join(zero,composition(X1,complement(composition(converse(X0),top)))),
inference(superposition,[status(thm)],[c_7622,c_68]) ).
tcf(c_7716,plain,
! [X0: $i,X1: $i] : composition(X0,composition(complement(composition(converse(X0),top)),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_7622,c_66]) ).
tcf(c_7717,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,complement(composition(converse(composition(X0,X1)),top)))) = zero,
inference(superposition,[status(thm)],[c_7622,c_66]) ).
tcf(c_7718,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),complement(composition(converse(X1),top))) = join(composition(X0,complement(composition(converse(X1),top))),zero),
inference(superposition,[status(thm)],[c_7622,c_68]) ).
tcf(c_7719,plain,
! [X0: $i] : join(complement(complement(composition(converse(X0),top))),composition(converse(X0),complement(zero))) = complement(complement(composition(converse(X0),top))),
inference(superposition,[status(thm)],[c_7622,c_90]) ).
tcf(c_7720,plain,
! [X0: $i] : composition(converse(complement(composition(converse(converse(X0)),top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_7622,c_257]) ).
tcf(c_7721,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(converse(join(converse(X0),X1)),top))),join(X0,converse(X1))) = converse(zero),
inference(superposition,[status(thm)],[c_7622,c_274]) ).
tcf(c_7722,plain,
composition(converse(complement(composition(converse(top),top))),top) = converse(zero),
inference(superposition,[status(thm)],[c_7622,c_2778]) ).
tcf(c_7723,plain,
composition(iPr_def_12,complement(composition(converse(top),top))) = composition(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_7622,c_470]) ).
tcf(c_7724,plain,
composition(iPr_def_10,complement(composition(converse(top),top))) = composition(sk1,zero),
inference(superposition,[status(thm)],[c_7622,c_467]) ).
tcf(c_7725,plain,
complement(composition(converse(one),top)) = zero,
inference(superposition,[status(thm)],[c_7622,c_1118]) ).
tcf(c_7726,plain,
composition(zero,complement(composition(converse(iPr_def_11),top))) = composition(converse(sk1),zero),
inference(superposition,[status(thm)],[c_7622,c_3214]) ).
tcf(c_7727,plain,
composition(converse(complement(composition(converse(zero),top))),zero) = converse(zero),
inference(superposition,[status(thm)],[c_7622,c_3394]) ).
tcf(c_7728,plain,
composition(zero,complement(composition(converse(sk1),top))) = composition(converse(iPr_def_11),zero),
inference(superposition,[status(thm)],[c_7622,c_3698]) ).
tcf(c_7729,plain,
complement(composition(one,top)) = zero,
inference(light_normalisation,[status(thm)],[c_7725,c_1109]) ).
tcf(c_7730,plain,
composition(converse(complement(composition(zero,top))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_7727,c_3363]) ).
tcf(c_7731,plain,
composition(iPr_def_10,complement(composition(top,top))) = composition(sk1,zero),
inference(light_normalisation,[status(thm)],[c_7724,c_2759]) ).
tcf(c_7732,plain,
composition(iPr_def_12,complement(composition(top,top))) = composition(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_7723,c_2759]) ).
tcf(c_7733,plain,
composition(converse(complement(composition(top,top))),top) = zero,
inference(light_normalisation,[status(thm)],[c_7722,c_2759,c_3363]) ).
tcf(c_7735,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(join(converse(X0),X1),top))),join(X1,converse(X0))) = zero,
inference(light_normalisation,[status(thm)],[c_7721,c_312,c_3363]) ).
tcf(c_7736,plain,
! [X0: $i] : join(composition(converse(X0),complement(zero)),complement(complement(composition(converse(X0),top)))) = complement(complement(composition(converse(X0),top))),
inference(theory_normalisation,[status(thm)],[c_7719,c_64,c_63]) ).
tcf(c_7737,plain,
! [X0: $i] : join(composition(converse(X0),top),complement(complement(composition(converse(X0),top)))) = complement(complement(composition(converse(X0),top))),
inference(light_normalisation,[status(thm)],[c_7736,c_3052]) ).
tcf(c_7738,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),complement(composition(converse(X1),top))) = join(zero,composition(X0,complement(composition(converse(X1),top)))),
inference(theory_normalisation,[status(thm)],[c_7718,c_64,c_63]) ).
tcf(c_7811,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_69,c_379]) ).
tcf(c_7812,plain,
join(iPr_def_11,composition(top,complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2759,c_379]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_312,c_379]) ).
tcf(c_7814,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_250,c_379]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_264,c_379]) ).
tcf(c_7816,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_251,c_379]) ).
tcf(c_7817,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_256,c_379]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_257,c_379]) ).
tcf(c_7819,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(join(X0,converse(X1)),converse(X2)),complement(composition(composition(X2,join(converse(X0),X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_271,c_379]) ).
tcf(c_7820,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(converse(X0),join(X1,converse(X2))),complement(composition(composition(join(converse(X1),X2),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_274,c_379]) ).
tcf(c_7821,plain,
join(iPr_def_11,composition(zero,complement(composition(zero,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3363,c_379]) ).
tcf(c_7822,plain,
join(iPr_def_11,composition(one,complement(composition(one,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1109,c_379]) ).
tcf(c_7823,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),complement(composition(join(one,X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1155,c_379]) ).
tcf(c_7824,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),complement(composition(join(X0,one),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1161,c_379]) ).
tcf(c_7825,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(converse(X0),top),complement(composition(composition(top,X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2778,c_379]) ).
tcf(c_7826,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,converse(X0)),complement(composition(composition(X0,top),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2776,c_379]) ).
tcf(c_7827,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(converse(X0),zero),complement(composition(composition(zero,X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3394,c_379]) ).
tcf(c_7828,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(zero,converse(X0)),complement(composition(composition(X0,zero),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3392,c_379]) ).
tcf(c_7829,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_66,c_379]) ).
tcf(c_7830,plain,
join(iPr_def_11,composition(converse(one),complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1118,c_379]) ).
tcf(c_7833,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_379,c_433]) ).
tcf(c_7834,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_379,c_64]) ).
tcf(c_7835,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_379,c_209]) ).
tcf(c_7840,plain,
join(iPr_def_11,composition(one,iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7830,c_1109,c_3111]) ).
tcf(c_7841,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(converse(X0),complement(composition(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_7833,c_64,c_63]) ).
tcf(c_7842,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_7841,c_2962]) ).
tcf(c_7843,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_7842,c_64,c_63]) ).
tcf(c_7885,plain,
! [X0: $i] : join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(superposition,[status(thm)],[c_69,c_385]) ).
tcf(c_7886,plain,
join(complement(one),composition(top,complement(top))) = complement(one),
inference(superposition,[status(thm)],[c_2759,c_385]) ).
tcf(c_7887,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(converse(X0),X1),complement(join(converse(X1),X0)))) = complement(one),
inference(superposition,[status(thm)],[c_312,c_385]) ).
tcf(c_7888,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(X0,converse(X1)),complement(join(converse(X0),X1)))) = complement(one),
inference(superposition,[status(thm)],[c_250,c_385]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(X0,converse(X1)),complement(join(X1,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_264,c_385]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(converse(X0),X1),complement(join(X0,converse(X1))))) = complement(one),
inference(superposition,[status(thm)],[c_251,c_385]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(composition(X0,converse(X1)),complement(composition(X1,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_256,c_385]) ).
tcf(c_7892,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(composition(converse(X0),X1),complement(composition(converse(X1),X0)))) = complement(one),
inference(superposition,[status(thm)],[c_257,c_385]) ).
tcf(c_7893,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(join(X0,converse(X1)),converse(X2)),complement(composition(X2,join(converse(X0),X1))))) = complement(one),
inference(superposition,[status(thm)],[c_271,c_385]) ).
tcf(c_7894,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(converse(X0),join(X1,converse(X2))),complement(composition(join(converse(X1),X2),X0)))) = complement(one),
inference(superposition,[status(thm)],[c_274,c_385]) ).
tcf(c_7895,plain,
join(complement(one),composition(zero,complement(zero))) = complement(one),
inference(superposition,[status(thm)],[c_3363,c_385]) ).
tcf(c_7896,plain,
join(complement(one),composition(one,complement(one))) = complement(one),
inference(superposition,[status(thm)],[c_1109,c_385]) ).
tcf(c_7897,plain,
! [X0: $i] : join(complement(one),composition(join(one,converse(X0)),complement(join(one,X0)))) = complement(one),
inference(superposition,[status(thm)],[c_1155,c_385]) ).
tcf(c_7898,plain,
! [X0: $i] : join(complement(one),composition(join(one,converse(X0)),complement(join(X0,one)))) = complement(one),
inference(superposition,[status(thm)],[c_1161,c_385]) ).
tcf(c_7899,plain,
! [X0: $i] : join(complement(one),composition(composition(converse(X0),top),complement(composition(top,X0)))) = complement(one),
inference(superposition,[status(thm)],[c_2778,c_385]) ).
tcf(c_7900,plain,
! [X0: $i] : join(complement(one),composition(composition(top,converse(X0)),complement(composition(X0,top)))) = complement(one),
inference(superposition,[status(thm)],[c_2776,c_385]) ).
tcf(c_7901,plain,
! [X0: $i] : join(complement(one),composition(composition(converse(X0),zero),complement(composition(zero,X0)))) = complement(one),
inference(superposition,[status(thm)],[c_3394,c_385]) ).
tcf(c_7902,plain,
! [X0: $i] : join(complement(one),composition(composition(zero,converse(X0)),complement(composition(X0,zero)))) = complement(one),
inference(superposition,[status(thm)],[c_3392,c_385]) ).
tcf(c_7903,plain,
! [X0: $i] : join(complement(one),composition(converse(complement(X0)),X0)) = complement(one),
inference(superposition,[status(thm)],[c_2961,c_385]) ).
tcf(c_7904,plain,
join(complement(one),composition(converse(top),zero)) = complement(one),
inference(superposition,[status(thm)],[c_121,c_385]) ).
tcf(c_7905,plain,
join(complement(one),composition(converse(iPr_def_10),iPr_def_11)) = complement(one),
inference(superposition,[status(thm)],[c_3111,c_385]) ).
tcf(c_7907,plain,
join(complement(one),composition(converse(iPr_def_11),iPr_def_10)) = complement(one),
inference(superposition,[status(thm)],[c_2962,c_385]) ).
tcf(c_7908,plain,
join(complement(one),composition(converse(zero),top)) = complement(one),
inference(superposition,[status(thm)],[c_3052,c_385]) ).
tcf(c_7909,plain,
join(complement(one),complement(one)) = complement(one),
inference(superposition,[status(thm)],[c_385,c_3159]) ).
tcf(c_7910,plain,
! [X0: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_385,c_433]) ).
tcf(c_7911,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),X1)) = join(complement(one),X1),
inference(superposition,[status(thm)],[c_385,c_64]) ).
tcf(c_7913,plain,
join(one,complement(complement(one))) = one,
inference(superposition,[status(thm)],[c_385,c_4192]) ).
tcf(c_7915,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(converse(X1),complement(X1)))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_385,c_209]) ).
tcf(c_7917,plain,
join(complement(one),composition(zero,top)) = complement(one),
inference(light_normalisation,[status(thm)],[c_7908,c_3363]) ).
tcf(c_7919,plain,
join(complement(one),composition(top,zero)) = complement(one),
inference(light_normalisation,[status(thm)],[c_7905,c_7212]) ).
tcf(c_7923,plain,
! [X0: $i] : join(complement(one),join(complement(complement(one)),composition(converse(X0),complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_7910,c_64,c_63]) ).
tcf(c_8005,plain,
! [X0: $i] : composition(join(top,X0),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[status(thm)],[c_7623,c_68]) ).
tcf(c_8006,plain,
! [X0: $i] : composition(top,composition(complement(composition(top,top)),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7623,c_66]) ).
tcf(c_8007,plain,
! [X0: $i] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[status(thm)],[c_7623,c_68]) ).
tcf(c_8008,plain,
join(complement(complement(composition(top,top))),composition(converse(top),complement(zero))) = complement(complement(composition(top,top))),
inference(superposition,[status(thm)],[c_7623,c_90]) ).
tcf(c_8009,plain,
composition(converse(complement(composition(top,top))),top) = converse(zero),
inference(superposition,[status(thm)],[c_7623,c_2778]) ).
tcf(c_8013,plain,
join(composition(converse(top),complement(zero)),complement(complement(composition(top,top)))) = complement(complement(composition(top,top))),
inference(theory_normalisation,[status(thm)],[c_8008,c_64,c_63]) ).
tcf(c_8014,plain,
join(composition(top,top),complement(complement(composition(top,top)))) = complement(complement(composition(top,top))),
inference(light_normalisation,[status(thm)],[c_8013,c_2759,c_3052]) ).
tcf(c_8015,plain,
! [X0: $i] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(theory_normalisation,[status(thm)],[c_8007,c_64,c_63]) ).
tcf(c_8016,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_8015,c_2628,c_7623]) ).
tcf(c_8020,plain,
! [X0: $i] : composition(join(zero,X0),complement(composition(zero,top))) = join(zero,composition(X0,complement(composition(zero,top)))),
inference(superposition,[status(thm)],[c_7632,c_68]) ).
tcf(c_8021,plain,
! [X0: $i] : composition(zero,composition(complement(composition(zero,top)),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7632,c_66]) ).
tcf(c_8022,plain,
! [X0: $i] : composition(join(X0,zero),complement(composition(zero,top))) = join(composition(X0,complement(composition(zero,top))),zero),
inference(superposition,[status(thm)],[c_7632,c_68]) ).
tcf(c_8023,plain,
join(complement(complement(composition(zero,top))),composition(converse(zero),complement(zero))) = complement(complement(composition(zero,top))),
inference(superposition,[status(thm)],[c_7632,c_90]) ).
tcf(c_8024,plain,
composition(converse(complement(composition(zero,top))),zero) = converse(zero),
inference(superposition,[status(thm)],[c_7632,c_3394]) ).
tcf(c_8026,plain,
join(composition(converse(zero),complement(zero)),complement(complement(composition(zero,top)))) = complement(complement(composition(zero,top))),
inference(theory_normalisation,[status(thm)],[c_8023,c_64,c_63]) ).
tcf(c_8027,plain,
join(composition(zero,top),complement(complement(composition(zero,top)))) = complement(complement(composition(zero,top))),
inference(light_normalisation,[status(thm)],[c_8026,c_3052,c_3363]) ).
tcf(c_8028,plain,
! [X0: $i] : composition(join(X0,zero),complement(composition(zero,top))) = join(zero,composition(X0,complement(composition(zero,top)))),
inference(theory_normalisation,[status(thm)],[c_8022,c_64,c_63]) ).
tcf(c_8029,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(zero,top)))) = composition(X0,complement(composition(zero,top))),
inference(light_normalisation,[status(thm)],[c_8028,c_3047]) ).
tcf(c_8034,plain,
composition(converse(complement(iPr_def_10)),sk1) = zero,
inference(superposition,[status(thm)],[c_130,c_7654]) ).
tcf(c_8035,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(X0,composition(X1,top)))),composition(X0,X1)) = zero,
inference(superposition,[status(thm)],[c_66,c_7654]) ).
tcf(c_8037,plain,
composition(converse(complement(top)),one) = zero,
inference(superposition,[status(thm)],[c_1118,c_7654]) ).
tcf(c_8039,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(X0,top))),X1),X0) = join(zero,composition(X1,X0)),
inference(superposition,[status(thm)],[c_7654,c_68]) ).
tcf(c_8040,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(X0,top))),composition(X0,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_7654,c_66]) ).
tcf(c_8041,plain,
converse(complement(composition(one,top))) = zero,
inference(superposition,[status(thm)],[c_7654,c_67]) ).
tcf(c_8042,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_7654,c_68]) ).
tcf(c_8043,plain,
! [X0: $i] : converse(composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_7654,c_71]) ).
tcf(c_8044,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(complement(composition(X0,top)))),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_90]) ).
tcf(c_8045,plain,
! [X0: $i] : composition(X0,converse(converse(complement(composition(converse(X0),top))))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_256]) ).
tcf(c_8046,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_257]) ).
tcf(c_8047,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(converse(complement(composition(join(converse(X0),X1),top))))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_271]) ).
tcf(c_8048,plain,
composition(converse(complement(zero)),converse(complement(composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_7654,c_7654]) ).
tcf(c_8049,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_7654,c_7621]) ).
tcf(c_8050,plain,
composition(top,converse(converse(complement(composition(top,top))))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_2776]) ).
tcf(c_8051,plain,
join(iPr_def_11,composition(converse(converse(complement(composition(iPr_def_10,top)))),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7654,c_379]) ).
tcf(c_8052,plain,
composition(complement(composition(top,top)),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_7654,c_7622]) ).
tcf(c_8053,plain,
composition(zero,converse(converse(complement(composition(zero,top))))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_3392]) ).
tcf(c_8056,plain,
composition(complement(composition(top,top)),top) = zero,
inference(light_normalisation,[status(thm)],[c_8052,c_3052]) ).
tcf(c_8059,plain,
composition(zero,converse(converse(complement(composition(zero,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8053,c_3363]) ).
tcf(c_8060,plain,
composition(top,converse(converse(complement(composition(top,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8050,c_3363]) ).
tcf(c_8061,plain,
composition(converse(converse(complement(composition(top,top)))),top) = zero,
inference(light_normalisation,[status(thm)],[c_8049,c_3052]) ).
tcf(c_8062,plain,
composition(top,converse(complement(composition(top,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_8048,c_2759,c_3052]) ).
tcf(c_8063,plain,
! [X0: $i] : composition(X0,converse(converse(complement(composition(converse(X0),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8045,c_3363]) ).
tcf(c_8064,plain,
join(iPr_def_11,composition(converse(converse(complement(composition(iPr_def_10,top)))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_8051,c_3052]) ).
tcf(c_8065,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(complement(composition(X0,top)))),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_8044,c_3052]) ).
tcf(c_8066,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_8042,c_64,c_63]) ).
tcf(c_8067,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(converse(complement(composition(join(converse(X0),X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8047,c_3363]) ).
tcf(c_8137,plain,
! [X0: $i] : composition(join(complement(composition(top,top)),X0),top) = join(zero,composition(X0,top)),
inference(superposition,[status(thm)],[c_8056,c_68]) ).
tcf(c_8138,plain,
! [X0: $i] : composition(complement(composition(top,top)),composition(top,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8056,c_66]) ).
tcf(c_8139,plain,
! [X0: $i] : composition(join(X0,complement(composition(top,top))),top) = join(composition(X0,top),zero),
inference(superposition,[status(thm)],[c_8056,c_68]) ).
tcf(c_8140,plain,
join(complement(top),composition(converse(complement(composition(top,top))),complement(zero))) = complement(top),
inference(superposition,[status(thm)],[c_8056,c_90]) ).
tcf(c_8141,plain,
composition(converse(complement(zero)),complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_8056,c_7654]) ).
tcf(c_8142,plain,
composition(converse(complement(composition(top,top))),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_8056,c_7621]) ).
tcf(c_8143,plain,
composition(top,converse(complement(composition(top,top)))) = converse(zero),
inference(superposition,[status(thm)],[c_8056,c_2776]) ).
tcf(c_8148,plain,
! [X0: $i] : composition(join(X0,complement(composition(top,top))),top) = join(zero,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8139,c_64,c_63]) ).
tcf(c_8153,plain,
join(complement(one),join(composition(zero,top),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_7917,c_433]) ).
tcf(c_8154,plain,
! [X0: $i] : join(complement(one),join(composition(zero,top),X0)) = join(complement(one),X0),
inference(superposition,[status(thm)],[c_7917,c_64]) ).
tcf(c_8158,plain,
! [X0: $i] : join(complement(one),join(X0,composition(zero,top))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_7917,c_209]) ).
tcf(c_8163,plain,
composition(join(sk1,sk1),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_130,c_491]) ).
tcf(c_8164,plain,
! [X0: $i,X1: $i] : composition(join(sk1,composition(X0,X1)),top) = join(iPr_def_10,composition(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_66,c_491]) ).
tcf(c_8165,plain,
composition(join(sk1,iPr_def_11),top) = join(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_132,c_491]) ).
tcf(c_8166,plain,
composition(join(sk1,one),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1118,c_491]) ).
tcf(c_8167,plain,
composition(join(sk1,converse(complement(composition(top,top)))),top) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7654,c_491]) ).
tcf(c_8168,plain,
composition(join(sk1,complement(composition(top,top))),top) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_8056,c_491]) ).
tcf(c_8169,plain,
! [X0: $i] : join(iPr_def_10,composition(join(sk1,X0),top)) = composition(join(sk1,X0),top),
inference(superposition,[status(thm)],[c_491,c_3159]) ).
tcf(c_8170,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),complement(composition(join(sk1,X0),top)))) = top,
inference(superposition,[status(thm)],[c_491,c_433]) ).
tcf(c_8171,plain,
! [X0: $i,X1: $i] : join(composition(join(sk1,X0),top),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_491,c_64]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(sk1,X1),top)) = join(iPr_def_10,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_491,c_209]) ).
tcf(c_8174,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(sk1,X0),top))) = iPr_def_11,
inference(superposition,[status(thm)],[c_491,c_5033]) ).
tcf(c_8175,plain,
composition(join(iPr_def_11,sk1),top) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_8165,c_64,c_63]) ).
tcf(c_8182,plain,
! [X0: $i] : composition(join(join(iPr_def_11,sk1),X0),top) = join(join(iPr_def_10,iPr_def_12),composition(X0,top)),
inference(superposition,[status(thm)],[c_8175,c_68]) ).
tcf(c_8183,plain,
! [X0: $i] : composition(join(iPr_def_11,sk1),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_12),X0),
inference(superposition,[status(thm)],[c_8175,c_66]) ).
tcf(c_8184,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,sk1)),top) = join(composition(X0,top),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_8175,c_68]) ).
tcf(c_8185,plain,
join(complement(top),composition(converse(join(iPr_def_11,sk1)),complement(join(iPr_def_10,iPr_def_12)))) = complement(top),
inference(superposition,[status(thm)],[c_8175,c_90]) ).
tcf(c_8186,plain,
composition(join(sk1,join(iPr_def_11,sk1)),top) = join(iPr_def_10,join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_8175,c_491]) ).
tcf(c_8187,plain,
composition(converse(complement(join(iPr_def_10,iPr_def_12))),join(iPr_def_11,sk1)) = zero,
inference(superposition,[status(thm)],[c_8175,c_7654]) ).
tcf(c_8188,plain,
composition(converse(join(iPr_def_11,sk1)),complement(join(iPr_def_10,iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_8175,c_7621]) ).
tcf(c_8189,plain,
composition(top,converse(join(iPr_def_11,sk1))) = converse(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_8175,c_2776]) ).
tcf(c_8190,plain,
composition(join(iPr_def_11,join(sk1,sk1)),top) = join(iPr_def_10,join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8186,c_64,c_63]) ).
tcf(c_8191,plain,
join(zero,composition(converse(join(iPr_def_11,sk1)),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(light_normalisation,[status(thm)],[c_8185,c_121]) ).
tcf(c_8192,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,sk1)),top) = join(iPr_def_10,join(iPr_def_12,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_8184,c_64,c_63]) ).
tcf(c_8193,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,sk1)),top) = join(iPr_def_10,composition(join(iPr_def_11,X0),top)),
inference(light_normalisation,[status(thm)],[c_8192,c_495]) ).
tcf(c_8194,plain,
! [X0: $i] : composition(join(iPr_def_11,join(sk1,X0)),top) = join(iPr_def_10,join(iPr_def_12,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_8182,c_64,c_63]) ).
tcf(c_8195,plain,
! [X0: $i] : composition(join(iPr_def_11,join(sk1,X0)),top) = join(iPr_def_10,composition(join(iPr_def_11,X0),top)),
inference(light_normalisation,[status(thm)],[c_8194,c_495]) ).
tcf(c_8238,plain,
join(complement(one),join(composition(top,zero),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_7919,c_433]) ).
tcf(c_8239,plain,
! [X0: $i] : join(complement(one),join(composition(top,zero),X0)) = join(complement(one),X0),
inference(superposition,[status(thm)],[c_7919,c_64]) ).
tcf(c_8243,plain,
! [X0: $i] : join(complement(one),join(X0,composition(top,zero))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_7919,c_209]) ).
tcf(c_8247,plain,
! [X0: $i] : composition(join(top,X0),converse(complement(composition(top,top)))) = join(zero,composition(X0,converse(complement(composition(top,top))))),
inference(superposition,[status(thm)],[c_8062,c_68]) ).
tcf(c_8248,plain,
! [X0: $i] : composition(top,composition(converse(complement(composition(top,top))),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8062,c_66]) ).
tcf(c_8249,plain,
! [X0: $i] : composition(join(X0,top),converse(complement(composition(top,top)))) = join(composition(X0,converse(complement(composition(top,top)))),zero),
inference(superposition,[status(thm)],[c_8062,c_68]) ).
tcf(c_8250,plain,
join(complement(converse(complement(composition(top,top)))),composition(converse(top),complement(zero))) = complement(converse(complement(composition(top,top)))),
inference(superposition,[status(thm)],[c_8062,c_90]) ).
tcf(c_8251,plain,
composition(complement(composition(top,top)),converse(top)) = converse(zero),
inference(superposition,[status(thm)],[c_8062,c_256]) ).
tcf(c_8252,plain,
composition(converse(converse(complement(composition(top,top)))),top) = converse(zero),
inference(superposition,[status(thm)],[c_8062,c_2778]) ).
tcf(c_8253,plain,
composition(iPr_def_12,converse(complement(composition(top,top)))) = composition(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_8062,c_470]) ).
tcf(c_8254,plain,
composition(iPr_def_10,converse(complement(composition(top,top)))) = composition(sk1,zero),
inference(superposition,[status(thm)],[c_8062,c_467]) ).
tcf(c_8257,plain,
join(composition(converse(top),complement(zero)),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))),
inference(theory_normalisation,[status(thm)],[c_8250,c_64,c_63]) ).
tcf(c_8258,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))),
inference(light_normalisation,[status(thm)],[c_8257,c_2759,c_3052]) ).
tcf(c_8259,plain,
! [X0: $i] : composition(join(X0,top),converse(complement(composition(top,top)))) = join(zero,composition(X0,converse(complement(composition(top,top))))),
inference(theory_normalisation,[status(thm)],[c_8249,c_64,c_63]) ).
tcf(c_8260,plain,
! [X0: $i] : join(zero,composition(X0,converse(complement(composition(top,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8259,c_2628,c_8062]) ).
tcf(c_8266,plain,
composition(join(sk1,one),top) = top,
inference(demodulation,[status(thm)],[c_8166,c_2628]) ).
tcf(c_8267,plain,
! [X0: $i] : composition(join(join(sk1,one),X0),top) = join(top,composition(X0,top)),
inference(superposition,[status(thm)],[c_8266,c_68]) ).
tcf(c_8268,plain,
! [X0: $i] : composition(join(sk1,one),composition(top,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_8266,c_66]) ).
tcf(c_8269,plain,
! [X0: $i] : composition(join(X0,join(sk1,one)),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_8266,c_68]) ).
tcf(c_8270,plain,
join(complement(top),composition(converse(join(sk1,one)),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_8266,c_90]) ).
tcf(c_8271,plain,
composition(join(sk1,join(sk1,one)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8266,c_491]) ).
tcf(c_8272,plain,
composition(converse(complement(top)),join(sk1,one)) = zero,
inference(superposition,[status(thm)],[c_8266,c_7654]) ).
tcf(c_8273,plain,
composition(converse(join(sk1,one)),complement(top)) = zero,
inference(superposition,[status(thm)],[c_8266,c_7621]) ).
tcf(c_8274,plain,
composition(top,converse(join(sk1,one))) = converse(top),
inference(superposition,[status(thm)],[c_8266,c_2776]) ).
tcf(c_8275,plain,
composition(top,converse(join(sk1,one))) = top,
inference(light_normalisation,[status(thm)],[c_8274,c_2759]) ).
tcf(c_8276,plain,
composition(converse(join(sk1,one)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_8273,c_121]) ).
tcf(c_8277,plain,
composition(zero,join(sk1,one)) = zero,
inference(light_normalisation,[status(thm)],[c_8272,c_121,c_3363]) ).
tcf(c_8278,plain,
join(zero,composition(converse(join(sk1,one)),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_8270,c_121]) ).
tcf(c_8279,plain,
! [X0: $i] : composition(join(X0,join(sk1,one)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8269,c_64,c_63]) ).
tcf(c_8280,plain,
! [X0: $i] : composition(join(sk1,join(one,X0)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8267,c_64,c_63]) ).
tcf(c_8322,plain,
! [X0: $i] : composition(join(zero,X0),join(sk1,one)) = join(zero,composition(X0,join(sk1,one))),
inference(superposition,[status(thm)],[c_8277,c_68]) ).
tcf(c_8323,plain,
! [X0: $i] : composition(zero,composition(join(sk1,one),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8277,c_66]) ).
tcf(c_8324,plain,
! [X0: $i] : composition(join(X0,zero),join(sk1,one)) = join(composition(X0,join(sk1,one)),zero),
inference(superposition,[status(thm)],[c_8277,c_68]) ).
tcf(c_8325,plain,
join(complement(join(sk1,one)),composition(converse(zero),complement(zero))) = complement(join(sk1,one)),
inference(superposition,[status(thm)],[c_8277,c_90]) ).
tcf(c_8326,plain,
composition(converse(join(sk1,one)),zero) = converse(zero),
inference(superposition,[status(thm)],[c_8277,c_3394]) ).
tcf(c_8328,plain,
join(complement(join(sk1,one)),composition(zero,top)) = complement(join(sk1,one)),
inference(light_normalisation,[status(thm)],[c_8325,c_3052,c_3363]) ).
tcf(c_8329,plain,
join(composition(zero,top),complement(join(sk1,one))) = complement(join(sk1,one)),
inference(theory_normalisation,[status(thm)],[c_8328,c_64,c_63]) ).
tcf(c_8330,plain,
! [X0: $i] : composition(join(X0,zero),join(sk1,one)) = join(zero,composition(X0,join(sk1,one))),
inference(theory_normalisation,[status(thm)],[c_8324,c_64,c_63]) ).
tcf(c_8331,plain,
! [X0: $i] : join(zero,composition(X0,join(sk1,one))) = composition(X0,join(sk1,one)),
inference(light_normalisation,[status(thm)],[c_8330,c_3047]) ).
tcf(c_8334,plain,
composition(top,join(one,converse(sk1))) = top,
inference(demodulation,[status(thm)],[c_8275,c_1161]) ).
tcf(c_8335,plain,
! [X0: $i] : composition(join(top,X0),join(one,converse(sk1))) = join(top,composition(X0,join(one,converse(sk1)))),
inference(superposition,[status(thm)],[c_8334,c_68]) ).
tcf(c_8336,plain,
! [X0: $i] : composition(top,composition(join(one,converse(sk1)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_8334,c_66]) ).
tcf(c_8337,plain,
! [X0: $i] : composition(join(X0,top),join(one,converse(sk1))) = join(composition(X0,join(one,converse(sk1))),top),
inference(superposition,[status(thm)],[c_8334,c_68]) ).
tcf(c_8338,plain,
join(complement(join(one,converse(sk1))),composition(converse(top),complement(top))) = complement(join(one,converse(sk1))),
inference(superposition,[status(thm)],[c_8334,c_90]) ).
tcf(c_8339,plain,
composition(converse(join(one,converse(sk1))),top) = converse(top),
inference(superposition,[status(thm)],[c_8334,c_2778]) ).
tcf(c_8340,plain,
composition(iPr_def_12,join(one,converse(sk1))) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_8334,c_470]) ).
tcf(c_8341,plain,
composition(iPr_def_10,join(one,converse(sk1))) = composition(sk1,top),
inference(superposition,[status(thm)],[c_8334,c_467]) ).
tcf(c_8342,plain,
composition(iPr_def_10,join(one,converse(sk1))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8341,c_130]) ).
tcf(c_8343,plain,
composition(iPr_def_12,join(one,converse(sk1))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_8340,c_132]) ).
tcf(c_8344,plain,
composition(converse(join(one,converse(sk1))),top) = top,
inference(light_normalisation,[status(thm)],[c_8339,c_2759]) ).
tcf(c_8345,plain,
join(composition(converse(top),complement(top)),complement(join(one,converse(sk1)))) = complement(join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8338,c_64,c_63]) ).
tcf(c_8346,plain,
join(composition(top,zero),complement(join(one,converse(sk1)))) = complement(join(one,converse(sk1))),
inference(light_normalisation,[status(thm)],[c_8345,c_121,c_2759]) ).
tcf(c_8347,plain,
! [X0: $i] : composition(join(X0,top),join(one,converse(sk1))) = join(top,composition(X0,join(one,converse(sk1)))),
inference(theory_normalisation,[status(thm)],[c_8337,c_64,c_63]) ).
tcf(c_8348,plain,
! [X0: $i] : join(top,composition(X0,join(one,converse(sk1)))) = top,
inference(light_normalisation,[status(thm)],[c_8347,c_2628,c_8334]) ).
tcf(c_8373,plain,
composition(join(one,converse(sk1)),zero) = zero,
inference(demodulation,[status(thm)],[c_8276,c_1161]) ).
tcf(c_8374,plain,
! [X0: $i] : composition(join(join(one,converse(sk1)),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_8373,c_68]) ).
tcf(c_8375,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8373,c_66]) ).
tcf(c_8376,plain,
! [X0: $i] : composition(join(X0,join(one,converse(sk1))),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_8373,c_68]) ).
tcf(c_8377,plain,
join(complement(zero),composition(converse(join(one,converse(sk1))),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_8373,c_90]) ).
tcf(c_8378,plain,
composition(zero,converse(join(one,converse(sk1)))) = converse(zero),
inference(superposition,[status(thm)],[c_8373,c_3392]) ).
tcf(c_8379,plain,
composition(zero,converse(join(one,converse(sk1)))) = zero,
inference(light_normalisation,[status(thm)],[c_8378,c_3363]) ).
tcf(c_8381,plain,
! [X0: $i] : composition(join(X0,join(one,converse(sk1))),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_8376,c_64,c_63]) ).
tcf(c_8382,plain,
! [X0: $i] : composition(join(one,join(converse(sk1),X0)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_8374,c_64,c_63]) ).
tcf(c_8386,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),join(one,converse(sk1))) = join(iPr_def_10,composition(X0,join(one,converse(sk1)))),
inference(superposition,[status(thm)],[c_8342,c_68]) ).
tcf(c_8387,plain,
! [X0: $i] : composition(iPr_def_10,composition(join(one,converse(sk1)),X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_8342,c_66]) ).
tcf(c_8388,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),join(one,converse(sk1))) = join(composition(X0,join(one,converse(sk1))),iPr_def_10),
inference(superposition,[status(thm)],[c_8342,c_68]) ).
tcf(c_8389,plain,
join(complement(join(one,converse(sk1))),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(one,converse(sk1))),
inference(superposition,[status(thm)],[c_8342,c_90]) ).
tcf(c_8390,plain,
join(composition(converse(iPr_def_10),complement(iPr_def_10)),complement(join(one,converse(sk1)))) = complement(join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8389,c_64,c_63]) ).
tcf(c_8392,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),join(one,converse(sk1))) = join(iPr_def_10,composition(X0,join(one,converse(sk1)))),
inference(theory_normalisation,[status(thm)],[c_8388,c_64,c_63]) ).
tcf(c_8396,plain,
! [X0: $i] : composition(join(iPr_def_12,X0),join(one,converse(sk1))) = join(iPr_def_12,composition(X0,join(one,converse(sk1)))),
inference(superposition,[status(thm)],[c_8343,c_68]) ).
tcf(c_8397,plain,
! [X0: $i] : composition(iPr_def_12,composition(join(one,converse(sk1)),X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_8343,c_66]) ).
tcf(c_8398,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),join(one,converse(sk1))) = join(composition(X0,join(one,converse(sk1))),iPr_def_12),
inference(superposition,[status(thm)],[c_8343,c_68]) ).
tcf(c_8399,plain,
join(complement(join(one,converse(sk1))),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(one,converse(sk1))),
inference(superposition,[status(thm)],[c_8343,c_90]) ).
tcf(c_8400,plain,
join(composition(converse(iPr_def_12),complement(iPr_def_12)),complement(join(one,converse(sk1)))) = complement(join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8399,c_64,c_63]) ).
tcf(c_8401,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),join(one,converse(sk1))) = join(iPr_def_12,composition(X0,join(one,converse(sk1)))),
inference(theory_normalisation,[status(thm)],[c_8398,c_64,c_63]) ).
tcf(c_8408,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,composition(X0,X1)),top) = join(iPr_def_12,composition(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_66,c_495]) ).
tcf(c_8409,plain,
composition(join(iPr_def_11,iPr_def_11),top) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_132,c_495]) ).
tcf(c_8410,plain,
composition(join(iPr_def_11,one),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_1118,c_495]) ).
tcf(c_8411,plain,
composition(join(iPr_def_11,converse(complement(composition(top,top)))),top) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_7654,c_495]) ).
tcf(c_8412,plain,
composition(join(iPr_def_11,complement(composition(top,top))),top) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_8056,c_495]) ).
tcf(c_8413,plain,
composition(join(iPr_def_11,join(sk1,one)),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_8266,c_495]) ).
tcf(c_8414,plain,
composition(join(iPr_def_11,join(iPr_def_11,sk1)),top) = join(iPr_def_12,join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_8175,c_495]) ).
tcf(c_8415,plain,
! [X0: $i] : join(iPr_def_12,composition(join(iPr_def_11,X0),top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_495,c_3159]) ).
tcf(c_8416,plain,
! [X0: $i] : join(iPr_def_12,join(composition(X0,top),complement(composition(join(iPr_def_11,X0),top)))) = top,
inference(superposition,[status(thm)],[c_495,c_433]) ).
tcf(c_8417,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_11,X0),top),X1) = join(iPr_def_12,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_495,c_64]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(iPr_def_11,X1),top)) = join(iPr_def_12,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_495,c_209]) ).
tcf(c_8421,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_11,X0),top)) = join(iPr_def_13,composition(X0,top)),
inference(superposition,[status(thm)],[c_495,c_426]) ).
tcf(c_8424,plain,
composition(join(iPr_def_11,join(iPr_def_11,sk1)),top) = join(iPr_def_10,join(iPr_def_12,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8414,c_64,c_63]) ).
tcf(c_8464,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,iPr_def_11),top)) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_504,c_3159]) ).
tcf(c_8465,plain,
! [X0: $i] : join(iPr_def_12,join(composition(X0,top),complement(composition(join(X0,iPr_def_11),top)))) = top,
inference(superposition,[status(thm)],[c_504,c_433]) ).
tcf(c_8466,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),top),X1) = join(iPr_def_12,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_504,c_64]) ).
tcf(c_8467,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,iPr_def_11),top)) = join(iPr_def_12,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_504,c_209]) ).
tcf(c_8470,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,iPr_def_11),top)) = join(iPr_def_13,composition(X0,top)),
inference(superposition,[status(thm)],[c_504,c_426]) ).
tcf(c_8485,plain,
composition(join(iPr_def_11,one),top) = top,
inference(demodulation,[status(thm)],[c_8410,c_2628]) ).
tcf(c_8486,plain,
! [X0: $i] : composition(join(join(iPr_def_11,one),X0),top) = join(top,composition(X0,top)),
inference(superposition,[status(thm)],[c_8485,c_68]) ).
tcf(c_8487,plain,
! [X0: $i] : composition(join(iPr_def_11,one),composition(top,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_8485,c_66]) ).
tcf(c_8488,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,one)),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_8485,c_68]) ).
tcf(c_8489,plain,
join(complement(top),composition(converse(join(iPr_def_11,one)),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_8485,c_90]) ).
tcf(c_8491,plain,
composition(join(iPr_def_11,join(iPr_def_11,one)),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_8485,c_495]) ).
tcf(c_8492,plain,
composition(join(sk1,join(iPr_def_11,one)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8485,c_491]) ).
tcf(c_8493,plain,
composition(converse(complement(top)),join(iPr_def_11,one)) = zero,
inference(superposition,[status(thm)],[c_8485,c_7654]) ).
tcf(c_8494,plain,
composition(converse(join(iPr_def_11,one)),complement(top)) = zero,
inference(superposition,[status(thm)],[c_8485,c_7621]) ).
tcf(c_8495,plain,
composition(top,converse(join(iPr_def_11,one))) = converse(top),
inference(superposition,[status(thm)],[c_8485,c_2776]) ).
tcf(c_8496,plain,
composition(top,converse(join(iPr_def_11,one))) = top,
inference(light_normalisation,[status(thm)],[c_8495,c_2759]) ).
tcf(c_8497,plain,
composition(converse(join(iPr_def_11,one)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_8494,c_121]) ).
tcf(c_8498,plain,
composition(zero,join(iPr_def_11,one)) = zero,
inference(light_normalisation,[status(thm)],[c_8493,c_121,c_3363]) ).
tcf(c_8499,plain,
composition(join(iPr_def_11,join(sk1,one)),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_8492,c_64,c_63]) ).
tcf(c_8501,plain,
join(zero,composition(converse(join(iPr_def_11,one)),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_8489,c_121]) ).
tcf(c_8502,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,one)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8488,c_64,c_63]) ).
tcf(c_8503,plain,
! [X0: $i] : composition(join(iPr_def_11,join(one,X0)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8486,c_64,c_63]) ).
tcf(c_8527,plain,
! [X0: $i] : composition(join(zero,X0),join(iPr_def_11,one)) = join(zero,composition(X0,join(iPr_def_11,one))),
inference(superposition,[status(thm)],[c_8498,c_68]) ).
tcf(c_8528,plain,
! [X0: $i] : composition(zero,composition(join(iPr_def_11,one),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8498,c_66]) ).
tcf(c_8529,plain,
! [X0: $i] : composition(join(X0,zero),join(iPr_def_11,one)) = join(composition(X0,join(iPr_def_11,one)),zero),
inference(superposition,[status(thm)],[c_8498,c_68]) ).
tcf(c_8530,plain,
join(complement(join(iPr_def_11,one)),composition(converse(zero),complement(zero))) = complement(join(iPr_def_11,one)),
inference(superposition,[status(thm)],[c_8498,c_90]) ).
tcf(c_8531,plain,
composition(converse(join(iPr_def_11,one)),zero) = converse(zero),
inference(superposition,[status(thm)],[c_8498,c_3394]) ).
tcf(c_8533,plain,
join(complement(join(iPr_def_11,one)),composition(zero,top)) = complement(join(iPr_def_11,one)),
inference(light_normalisation,[status(thm)],[c_8530,c_3052,c_3363]) ).
tcf(c_8534,plain,
join(composition(zero,top),complement(join(iPr_def_11,one))) = complement(join(iPr_def_11,one)),
inference(theory_normalisation,[status(thm)],[c_8533,c_64,c_63]) ).
tcf(c_8535,plain,
! [X0: $i] : composition(join(X0,zero),join(iPr_def_11,one)) = join(zero,composition(X0,join(iPr_def_11,one))),
inference(theory_normalisation,[status(thm)],[c_8529,c_64,c_63]) ).
tcf(c_8536,plain,
! [X0: $i] : join(zero,composition(X0,join(iPr_def_11,one))) = composition(X0,join(iPr_def_11,one)),
inference(light_normalisation,[status(thm)],[c_8535,c_3047]) ).
tcf(c_8539,plain,
composition(top,join(one,converse(iPr_def_11))) = top,
inference(demodulation,[status(thm)],[c_8496,c_1161]) ).
tcf(c_8540,plain,
! [X0: $i] : composition(join(top,X0),join(one,converse(iPr_def_11))) = join(top,composition(X0,join(one,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_8539,c_68]) ).
tcf(c_8541,plain,
! [X0: $i] : composition(top,composition(join(one,converse(iPr_def_11)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_8539,c_66]) ).
tcf(c_8542,plain,
! [X0: $i] : composition(join(X0,top),join(one,converse(iPr_def_11))) = join(composition(X0,join(one,converse(iPr_def_11))),top),
inference(superposition,[status(thm)],[c_8539,c_68]) ).
tcf(c_8543,plain,
join(complement(join(one,converse(iPr_def_11))),composition(converse(top),complement(top))) = complement(join(one,converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_8539,c_90]) ).
tcf(c_8544,plain,
composition(converse(join(one,converse(iPr_def_11))),top) = converse(top),
inference(superposition,[status(thm)],[c_8539,c_2778]) ).
tcf(c_8545,plain,
composition(iPr_def_12,join(one,converse(iPr_def_11))) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_8539,c_470]) ).
tcf(c_8546,plain,
composition(iPr_def_10,join(one,converse(iPr_def_11))) = composition(sk1,top),
inference(superposition,[status(thm)],[c_8539,c_467]) ).
tcf(c_8547,plain,
composition(iPr_def_10,join(one,converse(iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8546,c_130]) ).
tcf(c_8548,plain,
composition(iPr_def_12,join(one,converse(iPr_def_11))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_8545,c_132]) ).
tcf(c_8549,plain,
composition(converse(join(one,converse(iPr_def_11))),top) = top,
inference(light_normalisation,[status(thm)],[c_8544,c_2759]) ).
tcf(c_8550,plain,
join(composition(converse(top),complement(top)),complement(join(one,converse(iPr_def_11)))) = complement(join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8543,c_64,c_63]) ).
tcf(c_8551,plain,
join(composition(top,zero),complement(join(one,converse(iPr_def_11)))) = complement(join(one,converse(iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_8550,c_121,c_2759]) ).
tcf(c_8552,plain,
! [X0: $i] : composition(join(X0,top),join(one,converse(iPr_def_11))) = join(top,composition(X0,join(one,converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_8542,c_64,c_63]) ).
tcf(c_8553,plain,
! [X0: $i] : join(top,composition(X0,join(one,converse(iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_8552,c_2628,c_8539]) ).
tcf(c_8556,plain,
composition(join(one,converse(iPr_def_11)),zero) = zero,
inference(demodulation,[status(thm)],[c_8497,c_1161]) ).
tcf(c_8557,plain,
! [X0: $i] : composition(join(join(one,converse(iPr_def_11)),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_8556,c_68]) ).
tcf(c_8558,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_8556,c_66]) ).
tcf(c_8559,plain,
! [X0: $i] : composition(join(X0,join(one,converse(iPr_def_11))),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_8556,c_68]) ).
tcf(c_8560,plain,
join(complement(zero),composition(converse(join(one,converse(iPr_def_11))),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_8556,c_90]) ).
tcf(c_8561,plain,
composition(zero,converse(join(one,converse(iPr_def_11)))) = converse(zero),
inference(superposition,[status(thm)],[c_8556,c_3392]) ).
tcf(c_8562,plain,
composition(zero,converse(join(one,converse(iPr_def_11)))) = zero,
inference(light_normalisation,[status(thm)],[c_8561,c_3363]) ).
tcf(c_8564,plain,
! [X0: $i] : composition(join(X0,join(one,converse(iPr_def_11))),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_8559,c_64,c_63]) ).
tcf(c_8565,plain,
! [X0: $i] : composition(join(one,join(converse(iPr_def_11),X0)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_8557,c_64,c_63]) ).
tcf(c_8593,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),join(one,converse(iPr_def_11))) = join(iPr_def_10,composition(X0,join(one,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_8547,c_68]) ).
tcf(c_8594,plain,
! [X0: $i] : composition(iPr_def_10,composition(join(one,converse(iPr_def_11)),X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_8547,c_66]) ).
tcf(c_8595,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),join(one,converse(iPr_def_11))) = join(composition(X0,join(one,converse(iPr_def_11))),iPr_def_10),
inference(superposition,[status(thm)],[c_8547,c_68]) ).
tcf(c_8596,plain,
join(complement(join(one,converse(iPr_def_11))),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(one,converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_8547,c_90]) ).
tcf(c_8597,plain,
join(composition(converse(iPr_def_10),complement(iPr_def_10)),complement(join(one,converse(iPr_def_11)))) = complement(join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8596,c_64,c_63]) ).
tcf(c_8599,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),join(one,converse(iPr_def_11))) = join(iPr_def_10,composition(X0,join(one,converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_8595,c_64,c_63]) ).
tcf(c_8625,plain,
! [X0: $i] : composition(join(iPr_def_12,X0),join(one,converse(iPr_def_11))) = join(iPr_def_12,composition(X0,join(one,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_8548,c_68]) ).
tcf(c_8626,plain,
! [X0: $i] : composition(iPr_def_12,composition(join(one,converse(iPr_def_11)),X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_8548,c_66]) ).
tcf(c_8627,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),join(one,converse(iPr_def_11))) = join(composition(X0,join(one,converse(iPr_def_11))),iPr_def_12),
inference(superposition,[status(thm)],[c_8548,c_68]) ).
tcf(c_8628,plain,
join(complement(join(one,converse(iPr_def_11))),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(one,converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_8548,c_90]) ).
tcf(c_8629,plain,
join(composition(converse(iPr_def_12),complement(iPr_def_12)),complement(join(one,converse(iPr_def_11)))) = complement(join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8628,c_64,c_63]) ).
tcf(c_8630,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),join(one,converse(iPr_def_11))) = join(iPr_def_12,composition(X0,join(one,converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_8627,c_64,c_63]) ).
tcf(c_8634,plain,
join(iPr_def_12,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_1809,c_121,c_2638]) ).
tcf(c_8641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),X1),converse(composition(X2,X3))) = converse(composition(X2,composition(X3,join(X0,converse(X1))))),
inference(superposition,[status(thm)],[c_66,c_321]) ).
tcf(c_8642,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(one)) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_1118,c_321]) ).
tcf(c_8643,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(converse(complement(composition(join(X0,converse(X1)),top))))) = converse(zero),
inference(superposition,[status(thm)],[c_7654,c_321]) ).
tcf(c_8644,plain,
composition(join(converse(one),sk1),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_8334,c_321]) ).
tcf(c_8645,plain,
composition(join(converse(one),sk1),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_8343,c_321]) ).
tcf(c_8646,plain,
composition(join(converse(one),sk1),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8342,c_321]) ).
tcf(c_8647,plain,
composition(join(converse(one),iPr_def_11),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_8539,c_321]) ).
tcf(c_8648,plain,
composition(join(converse(one),iPr_def_11),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_8548,c_321]) ).
tcf(c_8649,plain,
composition(join(converse(one),iPr_def_11),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8547,c_321]) ).
tcf(c_8652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(join(X0,X1)),X2),converse(X3)) = converse(composition(X3,join(X0,join(X1,converse(X2))))),
inference(superposition,[status(thm)],[c_64,c_321]) ).
tcf(c_8653,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(converse(X0)),X1),converse(X2)) = converse(composition(X2,converse(join(X0,X1)))),
inference(superposition,[status(thm)],[c_70,c_321]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i] : composition(join(converse(zero),X0),converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_2951,c_321]) ).
tcf(c_8655,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),complement(converse(X0))),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_2767,c_321]) ).
tcf(c_8657,plain,
! [X0: $i,X1: $i] : composition(join(converse(top),X0),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_2640,c_321]) ).
tcf(c_8658,plain,
! [X0: $i] : composition(join(converse(one),complement(one)),converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_2766,c_321]) ).
tcf(c_8660,plain,
! [X0: $i,X1: $i] : composition(join(converse(one),join(X0,complement(one))),converse(X1)) = converse(composition(X1,top)),
inference(superposition,[status(thm)],[c_3775,c_321]) ).
tcf(c_8662,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),top),converse(X1)) = converse(composition(X1,join(X0,top))),
inference(superposition,[status(thm)],[c_2759,c_321]) ).
tcf(c_8663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(converse(X1),X2)),converse(X3)) = converse(composition(X3,join(X0,join(converse(X2),X1)))),
inference(superposition,[status(thm)],[c_312,c_321]) ).
tcf(c_8664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(converse(X1),X2)),converse(X3)) = converse(composition(X3,join(X0,join(X1,converse(X2))))),
inference(superposition,[status(thm)],[c_250,c_321]) ).
tcf(c_8665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(X1,converse(X2))),converse(X3)) = converse(composition(X3,join(X0,join(X2,converse(X1))))),
inference(superposition,[status(thm)],[c_264,c_321]) ).
tcf(c_8667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),composition(X1,converse(X2))),converse(X3)) = converse(composition(X3,join(X0,composition(X2,converse(X1))))),
inference(superposition,[status(thm)],[c_256,c_321]) ).
tcf(c_8668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),composition(converse(X1),X2)),converse(X3)) = converse(composition(X3,join(X0,composition(converse(X2),X1)))),
inference(superposition,[status(thm)],[c_257,c_321]) ).
tcf(c_8669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),composition(X1,join(converse(X2),X3))),converse(X4)) = converse(composition(X4,join(X0,composition(join(X2,converse(X3)),converse(X1))))),
inference(superposition,[status(thm)],[c_271,c_321]) ).
tcf(c_8670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),composition(join(converse(X1),X2),X3)),converse(X4)) = converse(composition(X4,join(X0,composition(converse(X3),join(X1,converse(X2)))))),
inference(superposition,[status(thm)],[c_274,c_321]) ).
tcf(c_8672,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),zero),converse(X1)) = converse(composition(X1,join(X0,zero))),
inference(superposition,[status(thm)],[c_3363,c_321]) ).
tcf(c_8675,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,one)),converse(X2)) = converse(composition(X2,join(X0,join(one,converse(X1))))),
inference(superposition,[status(thm)],[c_1161,c_321]) ).
tcf(c_8676,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(top,X1)),converse(X2)) = converse(composition(X2,join(X0,composition(converse(X1),top)))),
inference(superposition,[status(thm)],[c_2778,c_321]) ).
tcf(c_8677,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(X1,top)),converse(X2)) = converse(composition(X2,join(X0,composition(top,converse(X1))))),
inference(superposition,[status(thm)],[c_2776,c_321]) ).
tcf(c_8678,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(zero,X1)),converse(X2)) = converse(composition(X2,join(X0,composition(converse(X1),zero)))),
inference(superposition,[status(thm)],[c_3394,c_321]) ).
tcf(c_8679,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(X1,zero)),converse(X2)) = converse(composition(X2,join(X0,composition(zero,converse(X1))))),
inference(superposition,[status(thm)],[c_3392,c_321]) ).
tcf(c_8680,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(join(converse(X0),X1),converse(X2)),complement(composition(X2,join(X0,converse(X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_321,c_385]) ).
tcf(c_8681,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(join(converse(X0),X1),converse(X2)),complement(composition(composition(X2,join(X0,converse(X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_321,c_379]) ).
tcf(c_8682,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,join(X1,converse(X2))),complement(composition(composition(join(converse(X1),X2),converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_321,c_7622]) ).
tcf(c_8683,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(converse(X0),X1),converse(X2)),complement(composition(composition(X2,join(X0,converse(X1))),top))) = zero,
inference(superposition,[status(thm)],[c_321,c_7621]) ).
tcf(c_8684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,join(X1,converse(X2))),converse(X3)),converse(X4)) = converse(composition(X4,join(composition(join(converse(X1),X2),converse(X0)),X3))),
inference(superposition,[status(thm)],[c_321,c_271]) ).
tcf(c_8685,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(X1,converse(X2))),converse(complement(composition(join(converse(X1),X2),converse(X0))))) = top,
inference(superposition,[status(thm)],[c_321,c_2767]) ).
tcf(c_8686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(join(converse(X0),X1),converse(X2)),X3)) = join(converse(X3),composition(X2,join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_321,c_312]) ).
tcf(c_8687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(composition(join(converse(X0),X1),converse(X2)),X3)) = composition(converse(X3),composition(X2,join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_321,c_257]) ).
tcf(c_8688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(join(converse(X0),X1),converse(X2)),X3)) = join(composition(X2,join(X0,converse(X1))),converse(X3)),
inference(superposition,[status(thm)],[c_321,c_250]) ).
tcf(c_8689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(join(converse(X0),X1),converse(X2)),converse(X3)) = converse(composition(X3,composition(X2,join(X0,converse(X1))))),
inference(superposition,[status(thm)],[c_321,c_71]) ).
tcf(c_8690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(X0),X1),converse(X2)),converse(X3)) = converse(join(composition(X2,join(X0,converse(X1))),X3)),
inference(superposition,[status(thm)],[c_321,c_70]) ).
tcf(c_8691,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(join(converse(X0),X1),converse(X2))) = composition(X2,join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_321,c_69]) ).
tcf(c_8692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),composition(X1,join(X2,converse(X3)))),converse(X4)) = converse(composition(X4,join(X0,composition(join(converse(X2),X3),converse(X1))))),
inference(superposition,[status(thm)],[c_321,c_321]) ).
tcf(c_8693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(composition(X1,join(X2,converse(X3))),converse(X4))) = converse(composition(join(composition(join(converse(X2),X3),converse(X1)),X4),X0)),
inference(superposition,[status(thm)],[c_321,c_274]) ).
tcf(c_8694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(join(converse(X1),X2),converse(X3)))) = join(composition(X3,join(X1,converse(X2))),converse(X0)),
inference(superposition,[status(thm)],[c_321,c_264]) ).
tcf(c_8695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(converse(X1),X2),converse(X3)),complement(composition(composition(X3,join(X1,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_90]) ).
tcf(c_8696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,composition(join(converse(X1),X2),converse(X3)))) = composition(composition(X3,join(X1,converse(X2))),converse(X0)),
inference(superposition,[status(thm)],[c_321,c_256]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(join(converse(X1),X2),converse(X3)))) = join(converse(X0),composition(X3,join(X1,converse(X2)))),
inference(superposition,[status(thm)],[c_321,c_251]) ).
tcf(c_8698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(join(converse(X1),X2),converse(X3))) = converse(composition(composition(X3,join(X1,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_321,c_71]) ).
tcf(c_8699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(join(converse(X1),X2),converse(X3))) = converse(join(X0,composition(X3,join(X1,converse(X2))))),
inference(superposition,[status(thm)],[c_321,c_70]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),X1),converse(converse(X2))) = composition(converse(join(X0,converse(X1))),X2),
inference(superposition,[status(thm)],[c_321,c_257]) ).
tcf(c_8701,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(converse(X0)),X1),converse(X2)) = composition(join(X0,converse(converse(X1))),converse(X2)),
inference(superposition,[status(thm)],[c_321,c_271]) ).
tcf(c_8702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(join(X0,converse(X1))),join(X2,converse(X3))) = composition(join(converse(X0),X1),converse(join(converse(X2),X3))),
inference(superposition,[status(thm)],[c_321,c_274]) ).
tcf(c_8703,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,converse(X1))),top) = composition(join(converse(X0),X1),converse(top)),
inference(superposition,[status(thm)],[c_321,c_2778]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,converse(X1))),zero) = composition(join(converse(X0),X1),converse(zero)),
inference(superposition,[status(thm)],[c_321,c_3394]) ).
tcf(c_8705,plain,
composition(join(iPr_def_11,converse(one)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_8649,c_64,c_63]) ).
tcf(c_8706,plain,
composition(join(iPr_def_11,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_8705,c_1109]) ).
tcf(c_8707,plain,
composition(join(iPr_def_11,converse(one)),converse(iPr_def_12)) = converse(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_8648,c_64,c_63]) ).
tcf(c_8708,plain,
composition(join(iPr_def_11,one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_8707,c_1109]) ).
tcf(c_8709,plain,
composition(join(iPr_def_11,converse(one)),converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_8647,c_64,c_63]) ).
tcf(c_8711,plain,
composition(join(sk1,converse(one)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_8646,c_64,c_63]) ).
tcf(c_8712,plain,
composition(join(sk1,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_8711,c_1109]) ).
tcf(c_8713,plain,
composition(join(sk1,converse(one)),converse(iPr_def_12)) = converse(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_8645,c_64,c_63]) ).
tcf(c_8714,plain,
composition(join(sk1,one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_8713,c_1109]) ).
tcf(c_8715,plain,
composition(join(sk1,converse(one)),converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_8644,c_64,c_63]) ).
tcf(c_8718,plain,
! [X0: $i] : composition(join(complement(one),converse(one)),converse(X0)) = converse(composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_8658,c_64,c_63]) ).
tcf(c_8719,plain,
! [X0: $i] : composition(join(complement(one),one),converse(X0)) = composition(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_8718,c_1109,c_2776]) ).
tcf(c_8720,plain,
! [X0: $i] : composition(join(one,complement(one)),converse(X0)) = composition(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_8719,c_64,c_63]) ).
tcf(c_8722,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),one) = join(X1,converse(X0)),
inference(light_normalisation,[status(thm)],[c_8642,c_264,c_1109]) ).
tcf(c_8724,plain,
! [X0: $i,X1: $i] : composition(join(zero,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,zero))),
inference(theory_normalisation,[status(thm)],[c_8672,c_64,c_63]) ).
tcf(c_8726,plain,
! [X0: $i,X1: $i] : composition(join(top,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,top))),
inference(theory_normalisation,[status(thm)],[c_8662,c_64,c_63]) ).
tcf(c_8732,plain,
! [X0: $i,X1: $i] : composition(join(complement(one),join(X0,converse(one))),converse(X1)) = converse(composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_8660,c_64,c_63]) ).
tcf(c_8733,plain,
! [X0: $i,X1: $i] : composition(join(complement(one),join(X0,one)),converse(X1)) = converse(composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_8732,c_1109]) ).
tcf(c_8734,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,complement(one))),converse(X1)) = converse(composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_8733,c_64,c_63]) ).
tcf(c_8738,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),X1),converse(converse(X2))) = composition(join(X1,converse(X0)),X2),
inference(light_normalisation,[status(thm)],[c_8700,c_264]) ).
tcf(c_8739,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(X0,converse(join(X1,X2)))) = composition(join(X1,X2),converse(X0)),
inference(light_normalisation,[status(thm)],[c_8653,c_69]) ).
tcf(c_8741,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(converse(complement(composition(join(X0,converse(X1)),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_8643,c_3363]) ).
tcf(c_8742,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,converse(X1))),converse(X2)) = converse(composition(X2,join(X1,join(one,converse(X0))))),
inference(theory_normalisation,[status(thm)],[c_8675,c_64,c_63]) ).
tcf(c_8744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(X1,X2))),converse(X3)) = converse(composition(X3,join(X1,join(X2,converse(X0))))),
inference(light_normalisation,[status(thm)],[c_8665,c_720]) ).
tcf(c_8746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(join(X0,X1)),X2),converse(X3)) = converse(composition(X3,join(X0,join(converse(X2),X1)))),
inference(light_normalisation,[status(thm)],[c_8663,c_422]) ).
tcf(c_8747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),X1),converse(join(converse(X2),X3))) = composition(join(X1,converse(X0)),join(X2,converse(X3))),
inference(light_normalisation,[status(thm)],[c_8702,c_264]) ).
tcf(c_8866,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,sk1),top)) = composition(join(X0,sk1),top),
inference(superposition,[status(thm)],[c_506,c_3159]) ).
tcf(c_8867,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),complement(composition(join(X0,sk1),top)))) = top,
inference(superposition,[status(thm)],[c_506,c_433]) ).
tcf(c_8868,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,sk1),top),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_506,c_64]) ).
tcf(c_8869,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,sk1),top)) = join(iPr_def_10,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_506,c_209]) ).
tcf(c_8871,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(X0,sk1),top))) = iPr_def_11,
inference(superposition,[status(thm)],[c_506,c_5033]) ).
tcf(c_8913,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(X1,composition(X2,X0))) = composition(join(one,composition(X1,X2)),X0),
inference(superposition,[status(thm)],[c_66,c_1194]) ).
tcf(c_8914,plain,
! [X0: $i] : composition(join(one,X0),one) = join(one,X0),
inference(superposition,[status(thm)],[c_67,c_1194]) ).
tcf(c_8915,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(composition(X0,X1))) = composition(join(one,converse(X1)),converse(X0)),
inference(superposition,[status(thm)],[c_71,c_1194]) ).
tcf(c_8917,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(X0,top))) = join(complement(composition(X0,top)),zero),
inference(superposition,[status(thm)],[c_7621,c_1194]) ).
tcf(c_8918,plain,
composition(join(one,converse(iPr_def_11)),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_2963,c_1194]) ).
tcf(c_8919,plain,
composition(join(one,converse(sk1)),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_2964,c_1194]) ).
tcf(c_8920,plain,
! [X0: $i] : join(composition(top,X0),composition(iPr_def_10,X0)) = composition(join(one,sk1),composition(top,X0)),
inference(superposition,[status(thm)],[c_467,c_1194]) ).
tcf(c_8921,plain,
! [X0: $i] : join(composition(top,X0),composition(iPr_def_12,X0)) = composition(join(one,iPr_def_11),composition(top,X0)),
inference(superposition,[status(thm)],[c_470,c_1194]) ).
tcf(c_8922,plain,
! [X0: $i] : composition(join(one,one),X0) = join(X0,X0),
inference(superposition,[status(thm)],[c_1118,c_1194]) ).
tcf(c_8923,plain,
composition(join(one,top),complement(composition(top,top))) = join(complement(composition(top,top)),zero),
inference(superposition,[status(thm)],[c_7623,c_1194]) ).
tcf(c_8924,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(iPr_def_11,X0)) = join(composition(iPr_def_11,X0),composition(zero,X0)),
inference(superposition,[status(thm)],[c_3214,c_1194]) ).
tcf(c_8925,plain,
composition(join(one,converse(iPr_def_11)),sk1) = join(sk1,zero),
inference(superposition,[status(thm)],[c_3696,c_1194]) ).
tcf(c_8926,plain,
composition(join(one,zero),complement(composition(zero,top))) = join(complement(composition(zero,top)),zero),
inference(superposition,[status(thm)],[c_7632,c_1194]) ).
tcf(c_8927,plain,
composition(join(one,converse(complement(iPr_def_12))),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_3657,c_1194]) ).
tcf(c_8928,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(sk1,X0)) = join(composition(sk1,X0),composition(zero,X0)),
inference(superposition,[status(thm)],[c_3698,c_1194]) ).
tcf(c_8929,plain,
composition(join(one,top),converse(sk1)) = join(converse(sk1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_1194]) ).
tcf(c_8930,plain,
composition(join(one,top),converse(iPr_def_11)) = join(converse(iPr_def_11),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_1194]) ).
tcf(c_8931,plain,
join(converse(sk1),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(one,iPr_def_12),converse(sk1)),
inference(superposition,[status(thm)],[c_4326,c_1194]) ).
tcf(c_8932,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(sk1))) = composition(join(one,sk1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_1194]) ).
tcf(c_8933,plain,
join(converse(iPr_def_11),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(one,iPr_def_12),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4347,c_1194]) ).
tcf(c_8934,plain,
join(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(one,sk1),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_1194]) ).
tcf(c_8935,plain,
composition(join(one,converse(sk1)),iPr_def_12) = join(iPr_def_12,composition(zero,top)),
inference(superposition,[status(thm)],[c_4825,c_1194]) ).
tcf(c_8936,plain,
composition(join(one,converse(iPr_def_12)),sk1) = join(sk1,composition(top,zero)),
inference(superposition,[status(thm)],[c_7213,c_1194]) ).
tcf(c_8937,plain,
composition(join(one,converse(iPr_def_11)),iPr_def_10) = join(iPr_def_10,composition(zero,top)),
inference(superposition,[status(thm)],[c_5532,c_1194]) ).
tcf(c_8938,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_11) = join(iPr_def_11,composition(top,zero)),
inference(superposition,[status(thm)],[c_7212,c_1194]) ).
tcf(c_8939,plain,
! [X0: $i] : composition(join(one,X0),complement(composition(converse(X0),top))) = join(complement(composition(converse(X0),top)),zero),
inference(superposition,[status(thm)],[c_7622,c_1194]) ).
tcf(c_8940,plain,
! [X0: $i] : composition(join(one,converse(complement(composition(X0,top)))),X0) = join(X0,zero),
inference(superposition,[status(thm)],[c_7654,c_1194]) ).
tcf(c_8941,plain,
composition(join(one,complement(composition(top,top))),top) = join(top,zero),
inference(superposition,[status(thm)],[c_8056,c_1194]) ).
tcf(c_8942,plain,
composition(join(one,top),converse(complement(composition(top,top)))) = join(converse(complement(composition(top,top))),zero),
inference(superposition,[status(thm)],[c_8062,c_1194]) ).
tcf(c_8943,plain,
composition(join(one,join(sk1,one)),top) = join(top,top),
inference(superposition,[status(thm)],[c_8266,c_1194]) ).
tcf(c_8944,plain,
composition(join(one,join(iPr_def_11,sk1)),top) = join(top,join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_8175,c_1194]) ).
tcf(c_8945,plain,
composition(join(one,zero),join(sk1,one)) = join(join(sk1,one),zero),
inference(superposition,[status(thm)],[c_8277,c_1194]) ).
tcf(c_8946,plain,
composition(join(one,top),join(one,converse(sk1))) = join(join(one,converse(sk1)),top),
inference(superposition,[status(thm)],[c_8334,c_1194]) ).
tcf(c_8947,plain,
composition(join(one,iPr_def_12),join(one,converse(sk1))) = join(join(one,converse(sk1)),iPr_def_12),
inference(superposition,[status(thm)],[c_8343,c_1194]) ).
tcf(c_8948,plain,
composition(join(one,iPr_def_10),join(one,converse(sk1))) = join(join(one,converse(sk1)),iPr_def_10),
inference(superposition,[status(thm)],[c_8342,c_1194]) ).
tcf(c_8949,plain,
composition(join(one,join(one,converse(sk1))),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_8373,c_1194]) ).
tcf(c_8950,plain,
composition(join(one,join(iPr_def_11,one)),top) = join(top,top),
inference(superposition,[status(thm)],[c_8485,c_1194]) ).
tcf(c_8951,plain,
composition(join(one,zero),join(iPr_def_11,one)) = join(join(iPr_def_11,one),zero),
inference(superposition,[status(thm)],[c_8498,c_1194]) ).
tcf(c_8952,plain,
composition(join(one,top),join(one,converse(iPr_def_11))) = join(join(one,converse(iPr_def_11)),top),
inference(superposition,[status(thm)],[c_8539,c_1194]) ).
tcf(c_8953,plain,
composition(join(one,iPr_def_12),join(one,converse(iPr_def_11))) = join(join(one,converse(iPr_def_11)),iPr_def_12),
inference(superposition,[status(thm)],[c_8548,c_1194]) ).
tcf(c_8954,plain,
composition(join(one,iPr_def_10),join(one,converse(iPr_def_11))) = join(join(one,converse(iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_8547,c_1194]) ).
tcf(c_8955,plain,
composition(join(one,join(one,converse(iPr_def_11))),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_8556,c_1194]) ).
tcf(c_8956,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1194,c_3159]) ).
tcf(c_8957,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),complement(composition(join(one,X1),X0)))) = top,
inference(superposition,[status(thm)],[c_1194,c_433]) ).
tcf(c_8958,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),X2)) = join(composition(join(one,X1),X0),X2),
inference(superposition,[status(thm)],[c_1194,c_64]) ).
tcf(c_8960,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(X2,join(X0,X1)))) = composition(join(one,X2),join(X0,X1)),
inference(superposition,[status(thm)],[c_1194,c_64]) ).
tcf(c_8961,plain,
! [X0: $i,X1: $i] : join(X0,complement(composition(join(one,X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_1194,c_4192]) ).
tcf(c_8962,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_1194,c_2645]) ).
tcf(c_8963,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(X2,X0))) = join(X1,composition(join(one,X2),X0)),
inference(superposition,[status(thm)],[c_1194,c_209]) ).
tcf(c_8964,plain,
! [X0: $i] : composition(join(one,X0),zero) = composition(X0,zero),
inference(superposition,[status(thm)],[c_1194,c_2951]) ).
tcf(c_8965,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(one,X0),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_5031]) ).
tcf(c_8966,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_1194,c_2643]) ).
tcf(c_8967,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(X1,converse(X0)))),converse(X2)) = converse(composition(X2,composition(join(one,X1),converse(X0)))),
inference(superposition,[status(thm)],[c_1194,c_271]) ).
tcf(c_8969,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(X1,converse(X0)))) = converse(composition(join(one,X1),converse(X0))),
inference(superposition,[status(thm)],[c_1194,c_250]) ).
tcf(c_8970,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(composition(X2,converse(X1))))) = converse(composition(composition(join(one,X2),converse(X1)),X0)),
inference(superposition,[status(thm)],[c_1194,c_274]) ).
tcf(c_8971,plain,
composition(join(one,converse(one)),complement(one)) = complement(one),
inference(superposition,[status(thm)],[c_1194,c_385]) ).
tcf(c_8972,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(one,X0),iPr_def_13))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_5113]) ).
tcf(c_8973,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),iPr_def_13)) = composition(join(one,X0),iPr_def_13),
inference(superposition,[status(thm)],[c_1194,c_2984]) ).
tcf(c_8974,plain,
! [X0: $i] : join(iPr_def_12,composition(join(one,X0),iPr_def_13)) = composition(join(one,X0),iPr_def_13),
inference(superposition,[status(thm)],[c_1194,c_3199]) ).
tcf(c_8975,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_1194,c_2741]) ).
tcf(c_8977,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),iPr_def_12)) = join(iPr_def_13,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_1194,c_426]) ).
tcf(c_8978,plain,
! [X0: $i] : composition(join(one,X0),top) = top,
inference(superposition,[status(thm)],[c_1194,c_2640]) ).
tcf(c_8979,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(one,X0),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1194,c_5033]) ).
tcf(c_8980,plain,
! [X0: $i] : join(iPr_def_13,complement(composition(join(one,X0),complement(iPr_def_12)))) = iPr_def_13,
inference(superposition,[status(thm)],[c_1194,c_5068]) ).
tcf(c_8981,plain,
! [X0: $i] : join(iPr_def_13,composition(join(one,X0),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1194,c_5835]) ).
tcf(c_8982,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(one,X1),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1194,c_2896]) ).
tcf(c_8983,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(one,X1),iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_1194,c_3453]) ).
tcf(c_8984,plain,
! [X0: $i] : join(one,converse(composition(X0,one))) = converse(composition(join(one,X0),one)),
inference(superposition,[status(thm)],[c_1194,c_1155]) ).
tcf(c_8985,plain,
! [X0: $i] : join(one,composition(join(one,X0),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1194,c_3640]) ).
tcf(c_8986,plain,
! [X0: $i] : join(one,converse(composition(join(one,X0),complement(one)))) = top,
inference(superposition,[status(thm)],[c_1194,c_3856]) ).
tcf(c_8987,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),complement(iPr_def_13))) = join(iPr_def_10,composition(X0,complement(iPr_def_13))),
inference(superposition,[status(thm)],[c_1194,c_4269]) ).
tcf(c_8988,plain,
! [X0: $i] : composition(join(one,one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_8922,c_3114]) ).
tcf(c_8993,plain,
composition(join(one,one),complement(one)) = complement(one),
inference(light_normalisation,[status(thm)],[c_8971,c_1109]) ).
tcf(c_8994,plain,
composition(join(iPr_def_11,join(one,one)),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_8950,c_64,c_63]) ).
tcf(c_8995,plain,
composition(join(sk1,join(one,one)),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_8943,c_64,c_63]) ).
tcf(c_8996,plain,
composition(join(top,one),converse(iPr_def_11)) = join(converse(iPr_def_11),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8930,c_64,c_63]) ).
tcf(c_8997,plain,
composition(join(top,one),converse(sk1)) = join(converse(iPr_def_10),converse(sk1)),
inference(theory_normalisation,[status(thm)],[c_8929,c_64,c_63]) ).
tcf(c_8998,plain,
composition(join(one,converse(iPr_def_11)),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8918,c_64,c_63]) ).
tcf(c_8999,plain,
! [X0: $i] : converse(composition(join(one,X0),one)) = join(one,converse(X0)),
inference(light_normalisation,[status(thm)],[c_8984,c_67]) ).
tcf(c_9001,plain,
composition(join(one,zero),join(iPr_def_11,one)) = join(iPr_def_11,join(one,zero)),
inference(theory_normalisation,[status(thm)],[c_8951,c_64,c_63]) ).
tcf(c_9002,plain,
composition(join(one,zero),join(sk1,one)) = join(sk1,join(one,zero)),
inference(theory_normalisation,[status(thm)],[c_8945,c_64,c_63]) ).
tcf(c_9003,plain,
composition(join(iPr_def_11,join(sk1,one)),top) = join(iPr_def_10,join(iPr_def_12,top)),
inference(theory_normalisation,[status(thm)],[c_8944,c_64,c_63]) ).
tcf(c_9004,plain,
join(iPr_def_10,join(iPr_def_12,top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_9003,c_8499]) ).
tcf(c_9005,plain,
! [X0: $i] : composition(join(one,converse(complement(composition(X0,top)))),X0) = X0,
inference(light_normalisation,[status(thm)],[c_8940,c_3047]) ).
tcf(c_9006,plain,
join(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(sk1,one),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8934,c_64,c_63]) ).
tcf(c_9007,plain,
join(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_9006,c_8714]) ).
tcf(c_9008,plain,
join(converse(iPr_def_11),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(iPr_def_12,one),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_8933,c_64,c_63]) ).
tcf(c_9009,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(sk1))) = composition(join(sk1,one),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_8932,c_64,c_63]) ).
tcf(c_9010,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(sk1))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_9009,c_8712]) ).
tcf(c_9011,plain,
join(converse(sk1),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(iPr_def_12,one),converse(sk1)),
inference(theory_normalisation,[status(thm)],[c_8931,c_64,c_63]) ).
tcf(c_9013,plain,
composition(join(iPr_def_10,one),join(one,converse(iPr_def_11))) = join(iPr_def_10,join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8954,c_64,c_63]) ).
tcf(c_9014,plain,
composition(join(iPr_def_12,one),join(one,converse(iPr_def_11))) = join(iPr_def_12,join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8953,c_64,c_63]) ).
tcf(c_9015,plain,
composition(join(top,one),join(one,converse(iPr_def_11))) = join(top,join(one,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8952,c_64,c_63]) ).
tcf(c_9016,plain,
composition(join(iPr_def_10,one),join(one,converse(sk1))) = join(iPr_def_10,join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8948,c_64,c_63]) ).
tcf(c_9017,plain,
composition(join(iPr_def_12,one),join(one,converse(sk1))) = join(iPr_def_12,join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8947,c_64,c_63]) ).
tcf(c_9018,plain,
composition(join(top,one),join(one,converse(sk1))) = join(top,join(one,converse(sk1))),
inference(theory_normalisation,[status(thm)],[c_8946,c_64,c_63]) ).
tcf(c_9019,plain,
composition(join(one,zero),complement(composition(zero,top))) = join(zero,complement(composition(zero,top))),
inference(theory_normalisation,[status(thm)],[c_8926,c_64,c_63]) ).
tcf(c_9020,plain,
composition(join(top,one),complement(composition(top,top))) = join(zero,complement(composition(top,top))),
inference(theory_normalisation,[status(thm)],[c_8923,c_64,c_63]) ).
tcf(c_9021,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,X0)) = composition(join(iPr_def_11,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_8921,c_64,c_63]) ).
tcf(c_9022,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_9021,c_8487]) ).
tcf(c_9023,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),composition(top,X0)) = composition(join(sk1,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_8920,c_64,c_63]) ).
tcf(c_9024,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_9023,c_8268]) ).
tcf(c_9025,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(X0,top))) = join(zero,complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_8917,c_64,c_63]) ).
tcf(c_9026,plain,
composition(join(top,one),converse(complement(composition(top,top)))) = join(zero,converse(complement(composition(top,top)))),
inference(theory_normalisation,[status(thm)],[c_8942,c_64,c_63]) ).
tcf(c_9027,plain,
! [X0: $i] : composition(join(one,X0),complement(composition(converse(X0),top))) = join(zero,complement(composition(converse(X0),top))),
inference(theory_normalisation,[status(thm)],[c_8939,c_64,c_63]) ).
tcf(c_9028,plain,
composition(converse(iPr_def_11),zero) = zero,
inference(demodulation,[status(thm)],[c_8556,c_8964]) ).
tcf(c_9029,plain,
composition(converse(sk1),zero) = zero,
inference(demodulation,[status(thm)],[c_8373,c_8964]) ).
tcf(c_9235,plain,
! [X0: $i] : composition(join(X0,one),one) = join(one,X0),
inference(superposition,[status(thm)],[c_67,c_1201]) ).
tcf(c_9260,plain,
! [X0: $i] : composition(join(X0,one),complement(composition(converse(X0),top))) = join(complement(composition(converse(X0),top)),zero),
inference(superposition,[status(thm)],[c_7622,c_1201]) ).
tcf(c_9275,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),X0)) = composition(join(X1,one),X0),
inference(superposition,[status(thm)],[c_1201,c_3159]) ).
tcf(c_9276,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),complement(composition(join(X1,one),X0)))) = top,
inference(superposition,[status(thm)],[c_1201,c_433]) ).
tcf(c_9277,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),X2)) = join(composition(join(X1,one),X0),X2),
inference(superposition,[status(thm)],[c_1201,c_64]) ).
tcf(c_9279,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(X2,join(X0,X1)))) = composition(join(X2,one),join(X0,X1)),
inference(superposition,[status(thm)],[c_1201,c_64]) ).
tcf(c_9280,plain,
! [X0: $i,X1: $i] : join(X0,complement(composition(join(X1,one),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_1201,c_4192]) ).
tcf(c_9281,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),complement(X0))) = top,
inference(superposition,[status(thm)],[c_1201,c_2645]) ).
tcf(c_9282,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(X2,X0))) = join(X1,composition(join(X2,one),X0)),
inference(superposition,[status(thm)],[c_1201,c_209]) ).
tcf(c_9283,plain,
! [X0: $i] : composition(join(X0,one),zero) = composition(X0,zero),
inference(superposition,[status(thm)],[c_1201,c_2951]) ).
tcf(c_9284,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(X0,one),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1201,c_5031]) ).
tcf(c_9285,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_1201,c_2643]) ).
tcf(c_9286,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(X1,converse(X0)))),converse(X2)) = converse(composition(X2,composition(join(X1,one),converse(X0)))),
inference(superposition,[status(thm)],[c_1201,c_271]) ).
tcf(c_9288,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(X1,converse(X0)))) = converse(composition(join(X1,one),converse(X0))),
inference(superposition,[status(thm)],[c_1201,c_250]) ).
tcf(c_9289,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(composition(X2,converse(X1))))) = converse(composition(composition(join(X2,one),converse(X1)),X0)),
inference(superposition,[status(thm)],[c_1201,c_274]) ).
tcf(c_9291,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(X0,one),iPr_def_13))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1201,c_5113]) ).
tcf(c_9292,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),iPr_def_13)) = composition(join(X0,one),iPr_def_13),
inference(superposition,[status(thm)],[c_1201,c_2984]) ).
tcf(c_9293,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,one),iPr_def_13)) = composition(join(X0,one),iPr_def_13),
inference(superposition,[status(thm)],[c_1201,c_3199]) ).
tcf(c_9294,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_1201,c_2741]) ).
tcf(c_9296,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),iPr_def_12)) = join(iPr_def_13,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_1201,c_426]) ).
tcf(c_9297,plain,
! [X0: $i] : composition(join(X0,one),top) = top,
inference(superposition,[status(thm)],[c_1201,c_2640]) ).
tcf(c_9298,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(X0,one),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1201,c_5033]) ).
tcf(c_9299,plain,
! [X0: $i] : join(iPr_def_13,complement(composition(join(X0,one),complement(iPr_def_12)))) = iPr_def_13,
inference(superposition,[status(thm)],[c_1201,c_5068]) ).
tcf(c_9300,plain,
! [X0: $i] : join(iPr_def_13,composition(join(X0,one),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1201,c_5835]) ).
tcf(c_9301,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,one),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1201,c_2896]) ).
tcf(c_9302,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,one),iPr_def_13))) = top,
inference(superposition,[status(thm)],[c_1201,c_3453]) ).
tcf(c_9304,plain,
! [X0: $i] : join(one,converse(composition(X0,one))) = converse(composition(join(X0,one),one)),
inference(superposition,[status(thm)],[c_1201,c_1155]) ).
tcf(c_9305,plain,
! [X0: $i] : join(one,composition(join(X0,one),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1201,c_3640]) ).
tcf(c_9306,plain,
! [X0: $i] : join(one,converse(composition(join(X0,one),complement(one)))) = top,
inference(superposition,[status(thm)],[c_1201,c_3856]) ).
tcf(c_9307,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),complement(iPr_def_13))) = join(iPr_def_10,composition(X0,complement(iPr_def_13))),
inference(superposition,[status(thm)],[c_1201,c_4269]) ).
tcf(c_9328,plain,
! [X0: $i] : converse(composition(join(X0,one),one)) = join(one,converse(X0)),
inference(light_normalisation,[status(thm)],[c_9304,c_67]) ).
tcf(c_9355,plain,
! [X0: $i] : composition(join(X0,one),complement(composition(converse(X0),top))) = join(zero,complement(composition(converse(X0),top))),
inference(theory_normalisation,[status(thm)],[c_9260,c_64,c_63]) ).
tcf(c_9410,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_9028,c_68]) ).
tcf(c_9411,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9028,c_66]) ).
tcf(c_9412,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_9028,c_68]) ).
tcf(c_9414,plain,
composition(join(one,converse(iPr_def_11)),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_9028,c_1194]) ).
tcf(c_9415,plain,
join(complement(zero),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_9028,c_90]) ).
tcf(c_9416,plain,
composition(converse(zero),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_9028,c_257]) ).
tcf(c_9417,plain,
composition(zero,converse(converse(iPr_def_11))) = converse(zero),
inference(superposition,[status(thm)],[c_9028,c_3392]) ).
tcf(c_9418,plain,
composition(zero,iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_9416,c_3363]) ).
tcf(c_9419,plain,
composition(zero,converse(converse(iPr_def_11))) = zero,
inference(light_normalisation,[status(thm)],[c_9417,c_3363]) ).
tcf(c_9421,plain,
join(top,composition(converse(converse(iPr_def_11)),top)) = top,
inference(light_normalisation,[status(thm)],[c_9415,c_3052]) ).
tcf(c_9422,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_9412,c_64,c_63]) ).
tcf(c_9450,plain,
! [X0: $i] : composition(join(zero,X0),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_9418,c_68]) ).
tcf(c_9451,plain,
! [X0: $i] : composition(zero,composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9418,c_66]) ).
tcf(c_9452,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_9418,c_68]) ).
tcf(c_9454,plain,
composition(join(one,zero),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_9418,c_1194]) ).
tcf(c_9455,plain,
join(complement(iPr_def_11),composition(converse(zero),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_9418,c_90]) ).
tcf(c_9456,plain,
composition(converse(iPr_def_11),zero) = converse(zero),
inference(superposition,[status(thm)],[c_9418,c_3394]) ).
tcf(c_9459,plain,
join(iPr_def_10,composition(zero,top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9455,c_2962,c_3052,c_3363]) ).
tcf(c_9460,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_9452,c_64,c_63]) ).
tcf(c_9461,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_11)) = composition(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_9460,c_3047]) ).
tcf(c_9464,plain,
! [X0: $i] : composition(join(converse(sk1),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_9029,c_68]) ).
tcf(c_9465,plain,
! [X0: $i] : composition(converse(sk1),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9029,c_66]) ).
tcf(c_9466,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_9029,c_68]) ).
tcf(c_9468,plain,
composition(join(one,converse(sk1)),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_9029,c_1194]) ).
tcf(c_9469,plain,
join(complement(zero),composition(converse(converse(sk1)),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_9029,c_90]) ).
tcf(c_9470,plain,
composition(converse(zero),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_9029,c_257]) ).
tcf(c_9471,plain,
composition(zero,converse(converse(sk1))) = converse(zero),
inference(superposition,[status(thm)],[c_9029,c_3392]) ).
tcf(c_9472,plain,
composition(zero,sk1) = zero,
inference(light_normalisation,[status(thm)],[c_9470,c_3363]) ).
tcf(c_9473,plain,
composition(zero,converse(converse(sk1))) = zero,
inference(light_normalisation,[status(thm)],[c_9471,c_3363]) ).
tcf(c_9475,plain,
join(top,composition(converse(converse(sk1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_9469,c_3052]) ).
tcf(c_9476,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_9466,c_64,c_63]) ).
tcf(c_9493,plain,
! [X0: $i] : composition(join(zero,X0),sk1) = join(zero,composition(X0,sk1)),
inference(superposition,[status(thm)],[c_9472,c_68]) ).
tcf(c_9494,plain,
! [X0: $i] : composition(zero,composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9472,c_66]) ).
tcf(c_9495,plain,
! [X0: $i] : composition(join(X0,zero),sk1) = join(composition(X0,sk1),zero),
inference(superposition,[status(thm)],[c_9472,c_68]) ).
tcf(c_9497,plain,
composition(join(one,zero),sk1) = join(sk1,zero),
inference(superposition,[status(thm)],[c_9472,c_1194]) ).
tcf(c_9498,plain,
join(complement(sk1),composition(converse(zero),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_9472,c_90]) ).
tcf(c_9499,plain,
composition(converse(sk1),zero) = converse(zero),
inference(superposition,[status(thm)],[c_9472,c_3394]) ).
tcf(c_9502,plain,
join(complement(sk1),composition(zero,top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_9498,c_3052,c_3363]) ).
tcf(c_9503,plain,
! [X0: $i] : composition(join(X0,zero),sk1) = join(zero,composition(X0,sk1)),
inference(theory_normalisation,[status(thm)],[c_9495,c_64,c_63]) ).
tcf(c_9504,plain,
! [X0: $i] : join(zero,composition(X0,sk1)) = composition(X0,sk1),
inference(light_normalisation,[status(thm)],[c_9503,c_3047]) ).
tcf(c_9548,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),top) = top,
inference(superposition,[status(thm)],[c_209,c_8978]) ).
tcf(c_9556,plain,
! [X0: $i] : composition(composition(join(X0,one),one),top) = top,
inference(superposition,[status(thm)],[c_1201,c_8978]) ).
tcf(c_9557,plain,
! [X0: $i] : composition(composition(join(one,X0),one),top) = top,
inference(superposition,[status(thm)],[c_1194,c_8978]) ).
tcf(c_9558,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_2766,c_8978]) ).
tcf(c_9567,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),X1),top) = join(top,composition(X1,top)),
inference(superposition,[status(thm)],[c_8978,c_68]) ).
tcf(c_9568,plain,
! [X0: $i,X1: $i] : composition(join(one,X0),composition(top,X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_8978,c_66]) ).
tcf(c_9569,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_8978,c_68]) ).
tcf(c_9570,plain,
! [X0: $i] : composition(join(join(one,X0),one),top) = join(top,top),
inference(superposition,[status(thm)],[c_8978,c_1201]) ).
tcf(c_9571,plain,
! [X0: $i] : composition(join(one,join(one,X0)),top) = join(top,top),
inference(superposition,[status(thm)],[c_8978,c_1194]) ).
tcf(c_9572,plain,
! [X0: $i] : join(complement(top),composition(converse(join(one,X0)),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_8978,c_90]) ).
tcf(c_9573,plain,
! [X0: $i] : composition(join(join(one,X0),sk1),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8978,c_506]) ).
tcf(c_9574,plain,
! [X0: $i] : composition(join(join(one,X0),iPr_def_11),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_8978,c_504]) ).
tcf(c_9575,plain,
! [X0: $i] : composition(join(iPr_def_11,join(one,X0)),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_8978,c_495]) ).
tcf(c_9576,plain,
! [X0: $i] : composition(join(sk1,join(one,X0)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8978,c_491]) ).
tcf(c_9577,plain,
! [X0: $i] : composition(converse(complement(top)),join(one,X0)) = zero,
inference(superposition,[status(thm)],[c_8978,c_7654]) ).
tcf(c_9578,plain,
! [X0: $i] : composition(converse(join(one,X0)),complement(top)) = zero,
inference(superposition,[status(thm)],[c_8978,c_7621]) ).
tcf(c_9579,plain,
! [X0: $i] : composition(top,converse(join(one,X0))) = converse(top),
inference(superposition,[status(thm)],[c_8978,c_2776]) ).
tcf(c_9580,plain,
! [X0: $i] : composition(top,join(one,converse(X0))) = top,
inference(light_normalisation,[status(thm)],[c_9579,c_1155,c_2759]) ).
tcf(c_9581,plain,
! [X0: $i] : composition(join(one,converse(X0)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_9578,c_121,c_1155]) ).
tcf(c_9582,plain,
! [X0: $i] : composition(zero,join(one,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_9577,c_121,c_3363]) ).
tcf(c_9584,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,one)),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_9574,c_64,c_63]) ).
tcf(c_9585,plain,
! [X0: $i] : composition(join(sk1,join(X0,one)),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_9573,c_64,c_63]) ).
tcf(c_9586,plain,
! [X0: $i] : composition(join(one,join(X0,one)),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_9570,c_64,c_63]) ).
tcf(c_9587,plain,
! [X0: $i] : join(zero,composition(join(one,converse(X0)),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_9572,c_121,c_1155]) ).
tcf(c_9588,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_9569,c_64,c_63]) ).
tcf(c_9589,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,X1)),top) = join(top,composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_9567,c_64,c_63]) ).
tcf(c_9590,plain,
composition(top,converse(complement(top))) = zero,
inference(demodulation,[status(thm)],[c_8062,c_9558]) ).
tcf(c_9591,plain,
composition(complement(top),top) = zero,
inference(demodulation,[status(thm)],[c_8056,c_9558]) ).
tcf(c_9592,plain,
composition(top,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_7623,c_9558]) ).
tcf(c_9593,plain,
composition(top,zero) = zero,
inference(light_normalisation,[status(thm)],[c_9592,c_121]) ).
tcf(c_9594,plain,
join(complement(one),zero) = complement(one),
inference(demodulation,[status(thm)],[c_7919,c_9593]) ).
tcf(c_9595,plain,
composition(converse(iPr_def_12),sk1) = zero,
inference(demodulation,[status(thm)],[c_7213,c_9593]) ).
tcf(c_9596,plain,
composition(converse(iPr_def_10),iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_7212,c_9593]) ).
tcf(c_9597,plain,
join(zero,complement(one)) = complement(one),
inference(theory_normalisation,[status(thm)],[c_9594,c_64,c_63]) ).
tcf(c_9598,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_9591,c_121]) ).
tcf(c_9600,plain,
composition(zero,complement(zero)) = zero,
inference(demodulation,[status(thm)],[c_7632,c_9598]) ).
tcf(c_9601,plain,
composition(converse(iPr_def_11),iPr_def_10) = zero,
inference(demodulation,[status(thm)],[c_5532,c_9598]) ).
tcf(c_9602,plain,
composition(converse(sk1),iPr_def_12) = zero,
inference(demodulation,[status(thm)],[c_4825,c_9598]) ).
tcf(c_9647,plain,
! [X0: $i] : composition(join(top,X0),top) = join(top,composition(X0,top)),
inference(superposition,[status(thm)],[c_9558,c_68]) ).
tcf(c_9648,plain,
! [X0: $i] : composition(top,composition(top,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_9558,c_66]) ).
tcf(c_9649,plain,
! [X0: $i] : composition(join(X0,top),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_9558,c_68]) ).
tcf(c_9651,plain,
composition(join(one,top),top) = join(top,top),
inference(superposition,[status(thm)],[c_9558,c_1194]) ).
tcf(c_9652,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9558,c_90]) ).
tcf(c_9655,plain,
composition(join(iPr_def_11,top),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9558,c_495]) ).
tcf(c_9656,plain,
composition(join(sk1,top),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9558,c_491]) ).
tcf(c_9657,plain,
composition(converse(complement(top)),top) = zero,
inference(superposition,[status(thm)],[c_9558,c_7654]) ).
tcf(c_9658,plain,
composition(converse(top),complement(top)) = zero,
inference(superposition,[status(thm)],[c_9558,c_7621]) ).
tcf(c_9659,plain,
composition(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_9558,c_2776]) ).
tcf(c_9660,plain,
composition(converse(top),top) = converse(top),
inference(superposition,[status(thm)],[c_9558,c_2778]) ).
tcf(c_9661,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9558,c_470]) ).
tcf(c_9662,plain,
composition(sk1,top) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9558,c_467]) ).
tcf(c_9663,plain,
composition(iPr_def_10,top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9662,c_130]) ).
tcf(c_9664,plain,
composition(iPr_def_12,top) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_9661,c_132]) ).
tcf(c_9669,plain,
composition(join(top,sk1),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_9656,c_64,c_63]) ).
tcf(c_9671,plain,
composition(join(top,one),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_9651,c_64,c_63]) ).
tcf(c_9673,plain,
! [X0: $i] : composition(join(X0,top),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_9649,c_64,c_63]) ).
tcf(c_9674,plain,
! [X0: $i] : join(top,composition(X0,top)) = top,
inference(light_normalisation,[status(thm)],[c_9673,c_2628,c_9558]) ).
tcf(c_9687,plain,
! [X0: $i] : composition(join(top,X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_9593,c_68]) ).
tcf(c_9688,plain,
! [X0: $i] : composition(top,composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9593,c_66]) ).
tcf(c_9689,plain,
! [X0: $i] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_9593,c_68]) ).
tcf(c_9691,plain,
composition(join(one,top),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_9593,c_1194]) ).
tcf(c_9692,plain,
join(complement(zero),composition(converse(top),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_9593,c_90]) ).
tcf(c_9693,plain,
composition(converse(zero),top) = converse(zero),
inference(superposition,[status(thm)],[c_9593,c_2778]) ).
tcf(c_9694,plain,
composition(iPr_def_11,zero) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_9593,c_470]) ).
tcf(c_9695,plain,
composition(sk1,zero) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9593,c_467]) ).
tcf(c_9696,plain,
composition(zero,converse(top)) = converse(zero),
inference(superposition,[status(thm)],[c_9593,c_3392]) ).
tcf(c_9699,plain,
composition(join(top,one),zero) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_9691,c_64,c_63]) ).
tcf(c_9701,plain,
! [X0: $i] : composition(join(X0,top),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_9689,c_64,c_63]) ).
tcf(c_9702,plain,
! [X0: $i] : join(zero,composition(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_9701,c_2628,c_9593]) ).
tcf(c_9729,plain,
! [X0: $i] : composition(join(zero,X0),top) = join(zero,composition(X0,top)),
inference(superposition,[status(thm)],[c_9598,c_68]) ).
tcf(c_9730,plain,
! [X0: $i] : composition(zero,composition(top,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9598,c_66]) ).
tcf(c_9731,plain,
! [X0: $i] : composition(join(X0,zero),top) = join(composition(X0,top),zero),
inference(superposition,[status(thm)],[c_9598,c_68]) ).
tcf(c_9733,plain,
composition(join(one,zero),top) = join(top,zero),
inference(superposition,[status(thm)],[c_9598,c_1194]) ).
tcf(c_9734,plain,
join(complement(top),composition(converse(zero),complement(zero))) = complement(top),
inference(superposition,[status(thm)],[c_9598,c_90]) ).
tcf(c_9737,plain,
composition(join(iPr_def_11,zero),top) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_9598,c_495]) ).
tcf(c_9738,plain,
composition(join(sk1,zero),top) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9598,c_491]) ).
tcf(c_9739,plain,
composition(converse(complement(zero)),zero) = zero,
inference(superposition,[status(thm)],[c_9598,c_7654]) ).
tcf(c_9740,plain,
composition(converse(zero),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_9598,c_7621]) ).
tcf(c_9741,plain,
composition(top,converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_9598,c_2776]) ).
tcf(c_9742,plain,
composition(converse(top),zero) = converse(zero),
inference(superposition,[status(thm)],[c_9598,c_3394]) ).
tcf(c_9751,plain,
! [X0: $i] : composition(join(X0,zero),top) = join(zero,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_9731,c_64,c_63]) ).
tcf(c_9752,plain,
! [X0: $i] : join(zero,composition(X0,top)) = composition(X0,top),
inference(light_normalisation,[status(thm)],[c_9751,c_3047]) ).
tcf(c_9760,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),top) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_9663,c_68]) ).
tcf(c_9761,plain,
! [X0: $i] : composition(iPr_def_10,composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_9663,c_66]) ).
tcf(c_9762,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_68]) ).
tcf(c_9764,plain,
composition(join(one,iPr_def_10),top) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_1194]) ).
tcf(c_9765,plain,
join(complement(top),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_9663,c_90]) ).
tcf(c_9768,plain,
composition(join(iPr_def_11,iPr_def_10),top) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_495]) ).
tcf(c_9769,plain,
composition(join(sk1,iPr_def_10),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_491]) ).
tcf(c_9770,plain,
composition(converse(complement(iPr_def_10)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_9663,c_7654]) ).
tcf(c_9771,plain,
composition(converse(iPr_def_10),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_9663,c_7621]) ).
tcf(c_9772,plain,
composition(top,converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_2776]) ).
tcf(c_9775,plain,
composition(join(iPr_def_10,sk1),top) = join(iPr_def_10,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_9769,c_64,c_63]) ).
tcf(c_9776,plain,
composition(join(iPr_def_10,iPr_def_11),top) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_9768,c_64,c_63]) ).
tcf(c_9777,plain,
join(iPr_def_10,iPr_def_12) = top,
inference(light_normalisation,[status(thm)],[c_9776,c_235,c_9558]) ).
tcf(c_9780,plain,
composition(join(iPr_def_10,one),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_9764,c_64,c_63]) ).
tcf(c_9783,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_9762,c_64,c_63]) ).
tcf(c_9784,plain,
! [X0: $i] : composition(join(sk1,X0),top) = composition(join(iPr_def_10,X0),top),
inference(demodulation,[status(thm)],[c_491,c_9760]) ).
tcf(c_9785,plain,
composition(join(iPr_def_11,sk1),top) = top,
inference(demodulation,[status(thm)],[c_8175,c_9777]) ).
tcf(c_9786,plain,
! [X0: $i] : composition(join(X0,sk1),top) = composition(join(X0,iPr_def_10),top),
inference(demodulation,[status(thm)],[c_506,c_9783]) ).
tcf(c_9797,plain,
! [X0: $i] : composition(join(iPr_def_12,X0),top) = join(iPr_def_12,composition(X0,top)),
inference(superposition,[status(thm)],[c_9664,c_68]) ).
tcf(c_9798,plain,
! [X0: $i] : composition(iPr_def_12,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_9664,c_66]) ).
tcf(c_9799,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),top) = join(composition(X0,top),iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_68]) ).
tcf(c_9801,plain,
composition(join(one,iPr_def_12),top) = join(top,iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_1194]) ).
tcf(c_9802,plain,
join(complement(top),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(top),
inference(superposition,[status(thm)],[c_9664,c_90]) ).
tcf(c_9804,plain,
composition(join(iPr_def_11,iPr_def_12),top) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_495]) ).
tcf(c_9805,plain,
composition(converse(complement(iPr_def_12)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_9664,c_7654]) ).
tcf(c_9806,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_9664,c_7621]) ).
tcf(c_9807,plain,
composition(top,converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_2776]) ).
tcf(c_9808,plain,
composition(iPr_def_13,top) = join(iPr_def_12,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_9804,c_133]) ).
tcf(c_9811,plain,
composition(join(iPr_def_12,one),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_9801,c_64,c_63]) ).
tcf(c_9813,plain,
join(zero,composition(converse(iPr_def_12),complement(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_9802,c_121]) ).
tcf(c_9814,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),top) = join(iPr_def_12,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_9799,c_64,c_63]) ).
tcf(c_9815,plain,
! [X0: $i] : composition(join(iPr_def_11,X0),top) = composition(join(iPr_def_12,X0),top),
inference(light_normalisation,[status(thm)],[c_9797,c_495]) ).
tcf(c_9839,plain,
join(iPr_def_10,join(iPr_def_12,complement(top))) = top,
inference(superposition,[status(thm)],[c_9777,c_433]) ).
tcf(c_9840,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_9777,c_64]) ).
tcf(c_9841,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = join(X0,top),
inference(superposition,[status(thm)],[c_9777,c_209]) ).
tcf(c_9849,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_9841,c_2628]) ).
tcf(c_9850,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = top,
inference(light_normalisation,[status(thm)],[c_9840,c_2640]) ).
tcf(c_9853,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),sk1) = join(zero,composition(X0,sk1)),
inference(superposition,[status(thm)],[c_9595,c_68]) ).
tcf(c_9854,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9595,c_66]) ).
tcf(c_9855,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),sk1) = join(composition(X0,sk1),zero),
inference(superposition,[status(thm)],[c_9595,c_68]) ).
tcf(c_9857,plain,
composition(join(one,converse(iPr_def_12)),sk1) = join(sk1,zero),
inference(superposition,[status(thm)],[c_9595,c_1194]) ).
tcf(c_9858,plain,
join(complement(sk1),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_9595,c_90]) ).
tcf(c_9859,plain,
composition(converse(sk1),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_9595,c_257]) ).
tcf(c_9862,plain,
join(complement(sk1),composition(converse(converse(iPr_def_12)),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_9858,c_3052]) ).
tcf(c_9863,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),sk1) = join(zero,composition(X0,sk1)),
inference(theory_normalisation,[status(thm)],[c_9855,c_64,c_63]) ).
tcf(c_9883,plain,
! [X0: $i,X1: $i] : composition(converse(one),join(converse(X0),X1)) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_67,c_325]) ).
tcf(c_9884,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(converse(join(X0,converse(X1))),top))),join(converse(X0),X1)) = converse(zero),
inference(superposition,[status(thm)],[c_7622,c_325]) ).
tcf(c_9885,plain,
! [X0: $i] : composition(converse(top),join(converse(one),X0)) = converse(top),
inference(superposition,[status(thm)],[c_8978,c_325]) ).
tcf(c_9888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(join(X1,X2)),X3)) = converse(composition(join(X1,join(X2,converse(X3))),X0)),
inference(superposition,[status(thm)],[c_64,c_325]) ).
tcf(c_9889,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(converse(X1)),X2)) = converse(composition(converse(join(X1,X2)),X0)),
inference(superposition,[status(thm)],[c_70,c_325]) ).
tcf(c_9890,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(zero),X1)) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_2951,c_325]) ).
tcf(c_9891,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(X1),complement(converse(X1)))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2767,c_325]) ).
tcf(c_9893,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(top),X1)) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2640,c_325]) ).
tcf(c_9894,plain,
! [X0: $i] : composition(converse(X0),join(converse(one),complement(one))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2766,c_325]) ).
tcf(c_9896,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(one),join(X1,complement(one)))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3775,c_325]) ).
tcf(c_9898,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(X1),top)) = converse(composition(join(X1,top),X0)),
inference(superposition,[status(thm)],[c_2759,c_325]) ).
tcf(c_9899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),join(converse(X2),X3))) = converse(composition(join(X1,join(converse(X3),X2)),X0)),
inference(superposition,[status(thm)],[c_312,c_325]) ).
tcf(c_9900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),join(converse(X2),X3))) = converse(composition(join(X1,join(X2,converse(X3))),X0)),
inference(superposition,[status(thm)],[c_250,c_325]) ).
tcf(c_9901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),join(X2,converse(X3)))) = converse(composition(join(X1,join(X3,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_264,c_325]) ).
tcf(c_9903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),composition(X2,converse(X3)))) = converse(composition(join(X1,composition(X3,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_256,c_325]) ).
tcf(c_9904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(converse(X1),composition(converse(X2),X3))) = converse(composition(join(X1,composition(converse(X3),X2)),X0)),
inference(superposition,[status(thm)],[c_257,c_325]) ).
tcf(c_9905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),composition(X2,join(converse(X3),X4)))) = converse(composition(join(X1,composition(join(X3,converse(X4)),converse(X2))),X0)),
inference(superposition,[status(thm)],[c_271,c_325]) ).
tcf(c_9906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),composition(join(converse(X2),X3),X4))) = converse(composition(join(X1,composition(converse(X4),join(X2,converse(X3)))),X0)),
inference(superposition,[status(thm)],[c_274,c_325]) ).
tcf(c_9907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),composition(X2,join(X3,converse(X4))))) = converse(composition(join(X1,composition(join(converse(X3),X4),converse(X2))),X0)),
inference(superposition,[status(thm)],[c_321,c_325]) ).
tcf(c_9909,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(X1),zero)) = converse(composition(join(X1,zero),X0)),
inference(superposition,[status(thm)],[c_3363,c_325]) ).
tcf(c_9912,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(X2,one))) = converse(composition(join(X1,join(one,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_1161,c_325]) ).
tcf(c_9913,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),composition(top,X2))) = converse(composition(join(X1,composition(converse(X2),top)),X0)),
inference(superposition,[status(thm)],[c_2778,c_325]) ).
tcf(c_9914,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),composition(X2,top))) = converse(composition(join(X1,composition(top,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_2776,c_325]) ).
tcf(c_9915,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),composition(zero,X2))) = converse(composition(join(X1,composition(converse(X2),zero)),X0)),
inference(superposition,[status(thm)],[c_3394,c_325]) ).
tcf(c_9916,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),composition(X2,zero))) = converse(composition(join(X1,composition(zero,converse(X2))),X0)),
inference(superposition,[status(thm)],[c_3392,c_325]) ).
tcf(c_9917,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(converse(X0),join(converse(X1),X2)),complement(composition(join(X1,converse(X2)),X0)))) = complement(one),
inference(superposition,[status(thm)],[c_325,c_385]) ).
tcf(c_9918,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(converse(X0),join(converse(X1),X2)),complement(composition(composition(join(X1,converse(X2)),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_325,c_379]) ).
tcf(c_9919,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(X0,converse(X1)),X2),complement(composition(composition(converse(X2),join(converse(X0),X1)),top))) = zero,
inference(superposition,[status(thm)],[c_325,c_7622]) ).
tcf(c_9920,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(converse(X0),join(converse(X1),X2)),complement(composition(composition(join(X1,converse(X2)),X0),top))) = zero,
inference(superposition,[status(thm)],[c_325,c_7621]) ).
tcf(c_9921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(join(X0,converse(X1)),X2),converse(X3)),converse(X4)) = converse(composition(X4,join(composition(converse(X2),join(converse(X0),X1)),X3))),
inference(superposition,[status(thm)],[c_325,c_271]) ).
tcf(c_9922,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(X1)),X2),converse(complement(composition(converse(X2),join(converse(X0),X1))))) = top,
inference(superposition,[status(thm)],[c_325,c_2767]) ).
tcf(c_9923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(converse(X0),join(converse(X1),X2)),X3)) = join(converse(X3),composition(join(X1,converse(X2)),X0)),
inference(superposition,[status(thm)],[c_325,c_312]) ).
tcf(c_9924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(composition(converse(X0),join(converse(X1),X2)),X3)) = composition(converse(X3),composition(join(X1,converse(X2)),X0)),
inference(superposition,[status(thm)],[c_325,c_257]) ).
tcf(c_9925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(converse(X0),join(converse(X1),X2)),X3)) = join(composition(join(X1,converse(X2)),X0),converse(X3)),
inference(superposition,[status(thm)],[c_325,c_250]) ).
tcf(c_9926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(converse(X0),join(converse(X1),X2)),converse(X3)) = converse(composition(X3,composition(join(X1,converse(X2)),X0))),
inference(superposition,[status(thm)],[c_325,c_71]) ).
tcf(c_9927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(X0),join(converse(X1),X2)),converse(X3)) = converse(join(composition(join(X1,converse(X2)),X0),X3)),
inference(superposition,[status(thm)],[c_325,c_70]) ).
tcf(c_9928,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(converse(X0),join(converse(X1),X2))) = composition(join(X1,converse(X2)),X0),
inference(superposition,[status(thm)],[c_325,c_69]) ).
tcf(c_9929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),composition(join(X1,converse(X2)),X3)),converse(X4)) = converse(composition(X4,join(X0,composition(converse(X3),join(converse(X1),X2))))),
inference(superposition,[status(thm)],[c_325,c_321]) ).
tcf(c_9930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(composition(join(X1,converse(X2)),X3),converse(X4))) = converse(composition(join(composition(converse(X3),join(converse(X1),X2)),X4),X0)),
inference(superposition,[status(thm)],[c_325,c_274]) ).
tcf(c_9931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(converse(X1),join(converse(X2),X3)))) = join(composition(join(X2,converse(X3)),X1),converse(X0)),
inference(superposition,[status(thm)],[c_325,c_264]) ).
tcf(c_9932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(converse(X1),join(converse(X2),X3)),complement(composition(composition(join(X2,converse(X3)),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_90]) ).
tcf(c_9933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,composition(converse(X1),join(converse(X2),X3)))) = composition(composition(join(X2,converse(X3)),X1),converse(X0)),
inference(superposition,[status(thm)],[c_325,c_256]) ).
tcf(c_9934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,composition(converse(X1),join(converse(X2),X3)))) = join(converse(X0),composition(join(X2,converse(X3)),X1)),
inference(superposition,[status(thm)],[c_325,c_251]) ).
tcf(c_9935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(converse(X1),join(converse(X2),X3))) = converse(composition(composition(join(X2,converse(X3)),X1),X0)),
inference(superposition,[status(thm)],[c_325,c_71]) ).
tcf(c_9936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(converse(X1),join(converse(X2),X3))) = converse(join(X0,composition(join(X2,converse(X3)),X1))),
inference(superposition,[status(thm)],[c_325,c_70]) ).
tcf(c_9937,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(converse(X0)),join(converse(X1),X2)) = composition(X0,converse(join(X1,converse(X2)))),
inference(superposition,[status(thm)],[c_325,c_256]) ).
tcf(c_9938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),composition(join(X2,converse(X3)),X4))) = converse(composition(join(X1,composition(converse(X4),join(converse(X2),X3))),X0)),
inference(superposition,[status(thm)],[c_325,c_325]) ).
tcf(c_9939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(join(converse(X0),X1)),join(converse(X2),X3)) = composition(join(X0,converse(X1)),converse(join(X2,converse(X3)))),
inference(superposition,[status(thm)],[c_325,c_271]) ).
tcf(c_9940,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(converse(X1)),X2)) = composition(converse(X0),join(X1,converse(converse(X2)))),
inference(superposition,[status(thm)],[c_325,c_274]) ).
tcf(c_9941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(join(X0,converse(X1))),join(converse(X2),X3)) = composition(join(converse(X0),X1),converse(join(X2,converse(X3)))),
inference(superposition,[status(thm)],[c_325,c_321]) ).
tcf(c_9942,plain,
! [X0: $i,X1: $i] : composition(converse(top),join(converse(X0),X1)) = composition(top,converse(join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_325,c_2776]) ).
tcf(c_9943,plain,
! [X0: $i,X1: $i] : composition(converse(zero),join(converse(X0),X1)) = composition(zero,converse(join(X0,converse(X1)))),
inference(superposition,[status(thm)],[c_325,c_3392]) ).
tcf(c_9944,plain,
! [X0: $i] : composition(top,join(one,X0)) = top,
inference(light_normalisation,[status(thm)],[c_9885,c_1109,c_2759]) ).
tcf(c_9945,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(top,X1)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_9893,c_2759,c_2778]) ).
tcf(c_9946,plain,
! [X0: $i] : composition(converse(X0),join(complement(one),converse(one))) = converse(composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_9894,c_64,c_63]) ).
tcf(c_9947,plain,
! [X0: $i] : composition(converse(X0),join(complement(one),one)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_9946,c_1109,c_2778]) ).
tcf(c_9948,plain,
! [X0: $i] : composition(converse(X0),join(one,complement(one))) = composition(converse(X0),top),
inference(theory_normalisation,[status(thm)],[c_9947,c_64,c_63]) ).
tcf(c_9949,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(zero,X1)) = converse(composition(converse(X1),X0)),
inference(light_normalisation,[status(thm)],[c_9890,c_3363]) ).
tcf(c_9950,plain,
! [X0: $i,X1: $i] : composition(one,join(converse(X0),X1)) = join(X1,converse(X0)),
inference(light_normalisation,[status(thm)],[c_9883,c_264,c_1109]) ).
tcf(c_9952,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(zero,converse(X1))) = converse(composition(join(X1,zero),X0)),
inference(theory_normalisation,[status(thm)],[c_9909,c_64,c_63]) ).
tcf(c_9953,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(top,converse(X1))) = converse(composition(join(X1,top),X0)),
inference(theory_normalisation,[status(thm)],[c_9898,c_64,c_63]) ).
tcf(c_9955,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(X1),complement(converse(X1)))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_9891,c_2778]) ).
tcf(c_9958,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(complement(one),join(X1,converse(one)))) = converse(composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_9896,c_64,c_63]) ).
tcf(c_9959,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(complement(one),join(X1,one))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_9958,c_1109,c_2778]) ).
tcf(c_9960,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(one,join(X1,complement(one)))) = composition(converse(X0),top),
inference(theory_normalisation,[status(thm)],[c_9959,c_64,c_63]) ).
tcf(c_9964,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,converse(join(X1,converse(X2)))) = composition(X0,join(converse(X1),X2)),
inference(light_normalisation,[status(thm)],[c_9937,c_69]) ).
tcf(c_9966,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(join(X0,converse(X1)),top))),join(converse(X1),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_9884,c_264,c_3363]) ).
tcf(c_9967,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(one,join(X1,converse(X2)))) = converse(composition(join(X2,join(one,converse(X1))),X0)),
inference(theory_normalisation,[status(thm)],[c_9912,c_64,c_63]) ).
tcf(c_9969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),X1),converse(join(X2,converse(X3)))) = composition(join(X1,converse(X0)),join(converse(X2),X3)),
inference(light_normalisation,[status(thm)],[c_9941,c_264]) ).
tcf(c_9970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(X1)),converse(join(X2,converse(X3)))) = composition(join(converse(X1),X0),join(converse(X2),X3)),
inference(light_normalisation,[status(thm)],[c_9939,c_312]) ).
tcf(c_10230,plain,
composition(zero,one) = composition(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_67,c_9451]) ).
tcf(c_10231,plain,
composition(zero,top) = composition(zero,iPr_def_12),
inference(superposition,[status(thm)],[c_132,c_9451]) ).
tcf(c_10232,plain,
! [X0: $i] : composition(zero,composition(top,X0)) = composition(zero,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_470,c_9451]) ).
tcf(c_10233,plain,
composition(zero,complement(composition(converse(iPr_def_11),top))) = composition(zero,zero),
inference(superposition,[status(thm)],[c_7622,c_9451]) ).
tcf(c_10234,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(zero,X1),composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_9451,c_68]) ).
tcf(c_10235,plain,
! [X0: $i,X1: $i] : composition(zero,composition(composition(iPr_def_11,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_9451,c_66]) ).
tcf(c_10236,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_11,X1)),composition(zero,X1)) = composition(join(X0,zero),composition(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_9451,c_68]) ).
tcf(c_10238,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),composition(zero,X0)) = composition(join(one,zero),composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_9451,c_1194]) ).
tcf(c_10239,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(zero),complement(composition(zero,X0)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_9451,c_90]) ).
tcf(c_10240,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_9451,c_3394]) ).
tcf(c_10241,plain,
composition(zero,iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_10231,c_9598]) ).
tcf(c_10243,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),zero) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_10240,c_3394]) ).
tcf(c_10244,plain,
! [X0: $i] : composition(zero,composition(iPr_def_12,X0)) = composition(zero,X0),
inference(light_normalisation,[status(thm)],[c_10232,c_9730]) ).
tcf(c_10246,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(zero,complement(composition(zero,X0)))) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_10239,c_3363]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(X1,zero),composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_10236,c_64,c_63]) ).
tcf(c_10255,plain,
composition(zero,top) = composition(zero,iPr_def_10),
inference(superposition,[status(thm)],[c_130,c_9494]) ).
tcf(c_10256,plain,
composition(zero,sk1) = composition(zero,one),
inference(superposition,[status(thm)],[c_67,c_9494]) ).
tcf(c_10257,plain,
! [X0: $i] : composition(zero,composition(top,X0)) = composition(zero,composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_467,c_9494]) ).
tcf(c_10258,plain,
composition(zero,composition(iPr_def_10,converse(sk1))) = composition(zero,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4327,c_9494]) ).
tcf(c_10259,plain,
composition(zero,composition(iPr_def_10,converse(iPr_def_11))) = composition(zero,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_9494]) ).
tcf(c_10260,plain,
composition(zero,complement(composition(converse(sk1),top))) = composition(zero,zero),
inference(superposition,[status(thm)],[c_7622,c_9494]) ).
tcf(c_10261,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(sk1,X0))) = composition(join(zero,X1),composition(sk1,X0)),
inference(superposition,[status(thm)],[c_9494,c_68]) ).
tcf(c_10262,plain,
! [X0: $i,X1: $i] : composition(zero,composition(composition(sk1,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_9494,c_66]) ).
tcf(c_10263,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(sk1,X1)),composition(zero,X1)) = composition(join(X0,zero),composition(sk1,X1)),
inference(superposition,[status(thm)],[c_9494,c_68]) ).
tcf(c_10265,plain,
! [X0: $i] : join(composition(sk1,X0),composition(zero,X0)) = composition(join(one,zero),composition(sk1,X0)),
inference(superposition,[status(thm)],[c_9494,c_1194]) ).
tcf(c_10266,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(converse(zero),complement(composition(zero,X0)))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_9494,c_90]) ).
tcf(c_10267,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_9494,c_3394]) ).
tcf(c_10269,plain,
composition(zero,iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_10255,c_9598]) ).
tcf(c_10270,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),zero) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_10267,c_3394]) ).
tcf(c_10271,plain,
! [X0: $i] : composition(zero,composition(iPr_def_10,X0)) = composition(zero,X0),
inference(light_normalisation,[status(thm)],[c_10257,c_9730]) ).
tcf(c_10273,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(zero,complement(composition(zero,X0)))) = complement(composition(sk1,X0)),
inference(light_normalisation,[status(thm)],[c_10266,c_3363]) ).
tcf(c_10274,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(sk1,X0))) = composition(join(X1,zero),composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_10263,c_64,c_63]) ).
tcf(c_10286,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),composition(X1,composition(top,X0))) = composition(join(top,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_68]) ).
tcf(c_10287,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(top,X0),X1)) = composition(composition(top,X0),X1),
inference(superposition,[status(thm)],[c_9648,c_66]) ).
tcf(c_10288,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(top,X1)) = composition(join(X0,top),composition(top,X1)),
inference(superposition,[status(thm)],[c_9648,c_68]) ).
tcf(c_10290,plain,
! [X0: $i] : join(composition(top,X0),composition(top,X0)) = composition(join(one,top),composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_1194]) ).
tcf(c_10291,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(top),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_90]) ).
tcf(c_10292,plain,
! [X0: $i] : composition(converse(composition(top,X0)),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_2778]) ).
tcf(c_10293,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_470]) ).
tcf(c_10294,plain,
! [X0: $i] : composition(sk1,composition(top,X0)) = composition(iPr_def_10,composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_467]) ).
tcf(c_10297,plain,
! [X0: $i] : composition(composition(converse(X0),top),top) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_10292,c_2778]) ).
tcf(c_10298,plain,
! [X0: $i] : join(composition(top,X0),composition(top,X0)) = composition(join(top,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10290,c_64,c_63]) ).
tcf(c_10299,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(top,complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_10291,c_2759]) ).
tcf(c_10300,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),composition(X1,composition(top,X0))) = composition(join(X1,top),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10288,c_64,c_63]) ).
tcf(c_10336,plain,
! [X0: $i] : composition(join(zero,X0),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_10241,c_68]) ).
tcf(c_10338,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_10241,c_68]) ).
tcf(c_10340,plain,
composition(join(one,zero),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_10241,c_1194]) ).
tcf(c_10341,plain,
join(complement(iPr_def_12),composition(converse(zero),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_10241,c_90]) ).
tcf(c_10342,plain,
composition(converse(iPr_def_12),zero) = converse(zero),
inference(superposition,[status(thm)],[c_10241,c_3394]) ).
tcf(c_10343,plain,
composition(converse(iPr_def_12),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10342,c_3363]) ).
tcf(c_10345,plain,
join(complement(iPr_def_12),zero) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10341,c_3052,c_3363,c_9598]) ).
tcf(c_10346,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_10338,c_64,c_63]) ).
tcf(c_10347,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_12)) = composition(X0,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10346,c_3047]) ).
tcf(c_10349,plain,
! [X0: $i] : composition(join(zero,X0),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_10269,c_68]) ).
tcf(c_10351,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_10) = join(composition(X0,iPr_def_10),zero),
inference(superposition,[status(thm)],[c_10269,c_68]) ).
tcf(c_10353,plain,
composition(join(one,zero),iPr_def_10) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_10269,c_1194]) ).
tcf(c_10354,plain,
join(complement(iPr_def_10),composition(converse(zero),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_10269,c_90]) ).
tcf(c_10355,plain,
join(iPr_def_11,composition(converse(zero),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_10269,c_379]) ).
tcf(c_10356,plain,
composition(converse(iPr_def_10),zero) = converse(zero),
inference(superposition,[status(thm)],[c_10269,c_3394]) ).
tcf(c_10357,plain,
composition(converse(iPr_def_10),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10356,c_3363]) ).
tcf(c_10361,plain,
! [X0: $i] : composition(join(X0,zero),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_10351,c_64,c_63]) ).
tcf(c_10362,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_10)) = composition(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_10361,c_3047]) ).
tcf(c_10364,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_9596,c_68]) ).
tcf(c_10365,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9596,c_66]) ).
tcf(c_10366,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_9596,c_68]) ).
tcf(c_10368,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_9596,c_1194]) ).
tcf(c_10369,plain,
join(complement(iPr_def_11),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_9596,c_90]) ).
tcf(c_10370,plain,
composition(converse(iPr_def_11),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_9596,c_257]) ).
tcf(c_10373,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10369,c_2962,c_3052]) ).
tcf(c_10374,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_10366,c_64,c_63]) ).
tcf(c_10378,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_9601,c_68]) ).
tcf(c_10379,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9601,c_66]) ).
tcf(c_10380,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_10) = join(composition(X0,iPr_def_10),zero),
inference(superposition,[status(thm)],[c_9601,c_68]) ).
tcf(c_10382,plain,
composition(join(one,converse(iPr_def_11)),iPr_def_10) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9601,c_1194]) ).
tcf(c_10383,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_9601,c_90]) ).
tcf(c_10384,plain,
composition(converse(iPr_def_10),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_9601,c_257]) ).
tcf(c_10385,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9601,c_379]) ).
tcf(c_10387,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_10385,c_3052]) ).
tcf(c_10390,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_10380,c_64,c_63]) ).
tcf(c_10426,plain,
! [X0: $i] : composition(join(converse(sk1),X0),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_9602,c_68]) ).
tcf(c_10427,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_12,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9602,c_66]) ).
tcf(c_10428,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_9602,c_68]) ).
tcf(c_10430,plain,
composition(join(one,converse(sk1)),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_9602,c_1194]) ).
tcf(c_10431,plain,
join(complement(iPr_def_12),composition(converse(converse(sk1)),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9602,c_90]) ).
tcf(c_10432,plain,
composition(converse(iPr_def_12),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_9602,c_257]) ).
tcf(c_10435,plain,
join(complement(iPr_def_12),composition(converse(converse(sk1)),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10431,c_3052]) ).
tcf(c_10436,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_10428,c_64,c_63]) ).
tcf(c_10440,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_10343,c_68]) ).
tcf(c_10441,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_10343,c_66]) ).
tcf(c_10442,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_10343,c_68]) ).
tcf(c_10444,plain,
composition(join(one,converse(iPr_def_12)),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_10343,c_1194]) ).
tcf(c_10445,plain,
join(complement(zero),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10343,c_90]) ).
tcf(c_10446,plain,
composition(converse(zero),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_10343,c_257]) ).
tcf(c_10447,plain,
composition(zero,converse(converse(iPr_def_12))) = converse(zero),
inference(superposition,[status(thm)],[c_10343,c_3392]) ).
tcf(c_10449,plain,
composition(zero,converse(converse(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_10447,c_3363]) ).
tcf(c_10451,plain,
join(top,composition(converse(converse(iPr_def_12)),top)) = top,
inference(light_normalisation,[status(thm)],[c_10445,c_3052]) ).
tcf(c_10452,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_10442,c_64,c_63]) ).
tcf(c_10453,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10452,c_9702]) ).
tcf(c_10454,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10440,c_9702]) ).
tcf(c_10458,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),zero) = join(zero,composition(X0,zero)),
inference(superposition,[status(thm)],[c_10357,c_68]) ).
tcf(c_10459,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_10357,c_66]) ).
tcf(c_10460,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_10357,c_68]) ).
tcf(c_10462,plain,
composition(join(one,converse(iPr_def_10)),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_10357,c_1194]) ).
tcf(c_10463,plain,
join(complement(zero),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10357,c_90]) ).
tcf(c_10464,plain,
composition(converse(zero),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_10357,c_257]) ).
tcf(c_10465,plain,
composition(zero,converse(converse(iPr_def_10))) = converse(zero),
inference(superposition,[status(thm)],[c_10357,c_3392]) ).
tcf(c_10467,plain,
composition(zero,converse(converse(iPr_def_10))) = zero,
inference(light_normalisation,[status(thm)],[c_10465,c_3363]) ).
tcf(c_10469,plain,
join(top,composition(converse(converse(iPr_def_10)),top)) = top,
inference(light_normalisation,[status(thm)],[c_10463,c_3052]) ).
tcf(c_10470,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_10460,c_64,c_63]) ).
tcf(c_10471,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10470,c_9702]) ).
tcf(c_10472,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10458,c_9702]) ).
tcf(c_10478,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),top) = top,
inference(superposition,[status(thm)],[c_64,c_9297]) ).
tcf(c_10482,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),X1),top) = join(top,composition(X1,top)),
inference(superposition,[status(thm)],[c_9297,c_68]) ).
tcf(c_10483,plain,
! [X0: $i,X1: $i] : composition(join(X0,one),composition(top,X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_9297,c_66]) ).
tcf(c_10484,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_9297,c_68]) ).
tcf(c_10485,plain,
! [X0: $i] : composition(join(join(X0,one),one),top) = join(top,top),
inference(superposition,[status(thm)],[c_9297,c_1201]) ).
tcf(c_10487,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,one)),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9297,c_90]) ).
tcf(c_10488,plain,
! [X0: $i] : composition(converse(top),join(X0,converse(one))) = converse(top),
inference(superposition,[status(thm)],[c_9297,c_274]) ).
tcf(c_10489,plain,
! [X0: $i] : composition(join(join(X0,one),iPr_def_11),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9297,c_504]) ).
tcf(c_10491,plain,
! [X0: $i] : composition(converse(complement(top)),join(X0,one)) = zero,
inference(superposition,[status(thm)],[c_9297,c_7654]) ).
tcf(c_10492,plain,
! [X0: $i] : composition(converse(join(X0,one)),complement(top)) = zero,
inference(superposition,[status(thm)],[c_9297,c_7621]) ).
tcf(c_10493,plain,
! [X0: $i] : composition(top,converse(join(X0,one))) = converse(top),
inference(superposition,[status(thm)],[c_9297,c_2776]) ).
tcf(c_10496,plain,
! [X0: $i] : composition(zero,join(X0,one)) = zero,
inference(light_normalisation,[status(thm)],[c_10491,c_121,c_3363]) ).
tcf(c_10497,plain,
! [X0: $i] : composition(top,join(X0,one)) = top,
inference(light_normalisation,[status(thm)],[c_10488,c_1109,c_2759]) ).
tcf(c_10498,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,one)),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_10489,c_64,c_63]) ).
tcf(c_10499,plain,
! [X0: $i] : composition(join(X0,join(one,one)),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_10485,c_64,c_63]) ).
tcf(c_10501,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_10484,c_64,c_63]) ).
tcf(c_10502,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),top) = join(top,composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_10482,c_64,c_63]) ).
tcf(c_10521,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(zero,X0))) = composition(join(top,X1),composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_68]) ).
tcf(c_10522,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(zero,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_9688,c_66]) ).
tcf(c_10523,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(zero,X1)),composition(zero,X1)) = composition(join(X0,top),composition(zero,X1)),
inference(superposition,[status(thm)],[c_9688,c_68]) ).
tcf(c_10525,plain,
! [X0: $i] : join(composition(zero,X0),composition(zero,X0)) = composition(join(one,top),composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_1194]) ).
tcf(c_10526,plain,
! [X0: $i] : join(complement(composition(zero,X0)),composition(converse(top),complement(composition(zero,X0)))) = complement(composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_90]) ).
tcf(c_10527,plain,
! [X0: $i] : composition(converse(composition(zero,X0)),top) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_2778]) ).
tcf(c_10528,plain,
! [X0: $i] : composition(iPr_def_11,composition(zero,X0)) = composition(iPr_def_12,composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_470]) ).
tcf(c_10529,plain,
! [X0: $i] : composition(sk1,composition(zero,X0)) = composition(iPr_def_10,composition(zero,X0)),
inference(superposition,[status(thm)],[c_9688,c_467]) ).
tcf(c_10530,plain,
! [X0: $i] : composition(composition(converse(X0),zero),top) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_10527,c_3394]) ).
tcf(c_10531,plain,
! [X0: $i] : join(composition(zero,X0),composition(zero,X0)) = composition(join(top,one),composition(zero,X0)),
inference(theory_normalisation,[status(thm)],[c_10525,c_64,c_63]) ).
tcf(c_10532,plain,
! [X0: $i] : join(complement(composition(zero,X0)),composition(top,complement(composition(zero,X0)))) = complement(composition(zero,X0)),
inference(light_normalisation,[status(thm)],[c_10526,c_2759]) ).
tcf(c_10533,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(zero,X0))) = composition(join(X1,top),composition(zero,X0)),
inference(theory_normalisation,[status(thm)],[c_10523,c_64,c_63]) ).
tcf(c_10619,plain,
composition(zero,top) = composition(zero,one),
inference(superposition,[status(thm)],[c_67,c_9730]) ).
tcf(c_10620,plain,
composition(zero,converse(sk1)) = composition(zero,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_9730]) ).
tcf(c_10621,plain,
composition(zero,converse(iPr_def_11)) = composition(zero,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_9730]) ).
tcf(c_10622,plain,
composition(zero,complement(composition(converse(top),top))) = composition(zero,zero),
inference(superposition,[status(thm)],[c_7622,c_9730]) ).
tcf(c_10623,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(top,X0))) = composition(join(zero,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_9730,c_68]) ).
tcf(c_10624,plain,
! [X0: $i,X1: $i] : composition(zero,composition(composition(top,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_9730,c_66]) ).
tcf(c_10625,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(zero,X1)) = composition(join(X0,zero),composition(top,X1)),
inference(superposition,[status(thm)],[c_9730,c_68]) ).
tcf(c_10627,plain,
! [X0: $i] : join(composition(top,X0),composition(zero,X0)) = composition(join(one,zero),composition(top,X0)),
inference(superposition,[status(thm)],[c_9730,c_1194]) ).
tcf(c_10628,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(zero),complement(composition(zero,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9730,c_90]) ).
tcf(c_10630,plain,
! [X0: $i] : composition(converse(composition(top,X0)),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_9730,c_3394]) ).
tcf(c_10632,plain,
! [X0: $i] : composition(composition(converse(X0),top),zero) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_10630,c_2778,c_3394]) ).
tcf(c_10635,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(zero,complement(composition(zero,X0)))) = complement(composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_10628,c_3363]) ).
tcf(c_10636,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(top,X0))) = composition(join(X1,zero),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10625,c_64,c_63]) ).
tcf(c_10654,plain,
composition(iPr_def_10,top) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_9761]) ).
tcf(c_10655,plain,
composition(iPr_def_10,converse(sk1)) = composition(iPr_def_10,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_9761]) ).
tcf(c_10656,plain,
composition(iPr_def_10,converse(iPr_def_11)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_9761]) ).
tcf(c_10657,plain,
composition(iPr_def_10,complement(composition(converse(top),top))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7622,c_9761]) ).
tcf(c_10658,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(iPr_def_10,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_9761,c_68]) ).
tcf(c_10659,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(composition(top,X0),X1)) = composition(composition(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_9761,c_66]) ).
tcf(c_10660,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_10,X1)) = composition(join(X0,iPr_def_10),composition(top,X1)),
inference(superposition,[status(thm)],[c_9761,c_68]) ).
tcf(c_10662,plain,
! [X0: $i] : join(composition(top,X0),composition(iPr_def_10,X0)) = composition(join(one,iPr_def_10),composition(top,X0)),
inference(superposition,[status(thm)],[c_9761,c_1194]) ).
tcf(c_10663,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9761,c_90]) ).
tcf(c_10666,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),composition(top,X0)) = composition(join(iPr_def_10,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10662,c_64,c_63]) ).
tcf(c_10667,plain,
! [X0: $i] : composition(join(iPr_def_10,one),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_10666,c_9024]) ).
tcf(c_10670,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(X1,iPr_def_10),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10660,c_64,c_63]) ).
tcf(c_10671,plain,
composition(sk1,converse(iPr_def_10)) = composition(iPr_def_10,converse(iPr_def_10)),
inference(demodulation,[status(thm)],[c_4327,c_10655]) ).
tcf(c_10696,plain,
composition(iPr_def_12,top) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_67,c_9798]) ).
tcf(c_10697,plain,
composition(iPr_def_12,converse(sk1)) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_9798]) ).
tcf(c_10698,plain,
composition(iPr_def_12,converse(iPr_def_11)) = composition(iPr_def_12,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_9798]) ).
tcf(c_10699,plain,
composition(iPr_def_12,complement(composition(converse(top),top))) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_7622,c_9798]) ).
tcf(c_10700,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(iPr_def_12,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_9798,c_68]) ).
tcf(c_10701,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(composition(top,X0),X1)) = composition(composition(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_9798,c_66]) ).
tcf(c_10702,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_12,X1)) = composition(join(X0,iPr_def_12),composition(top,X1)),
inference(superposition,[status(thm)],[c_9798,c_68]) ).
tcf(c_10704,plain,
! [X0: $i] : join(composition(top,X0),composition(iPr_def_12,X0)) = composition(join(one,iPr_def_12),composition(top,X0)),
inference(superposition,[status(thm)],[c_9798,c_1194]) ).
tcf(c_10705,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(iPr_def_12),complement(composition(iPr_def_12,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9798,c_90]) ).
tcf(c_10707,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_10698,c_4347]) ).
tcf(c_10708,plain,
composition(iPr_def_11,converse(iPr_def_10)) = composition(iPr_def_12,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_10697,c_4326]) ).
tcf(c_10710,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,X0)) = composition(join(iPr_def_12,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10704,c_64,c_63]) ).
tcf(c_10711,plain,
! [X0: $i] : composition(join(iPr_def_12,one),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_10710,c_9022]) ).
tcf(c_10714,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(X1,iPr_def_12),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_10702,c_64,c_63]) ).
tcf(c_10715,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,X0),composition(top,X1)) = composition(join(iPr_def_12,X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_10700,c_680]) ).
tcf(c_10757,plain,
! [X0: $i,X1: $i] : composition(zero,join(X0,join(one,X1))) = zero,
inference(superposition,[status(thm)],[c_209,c_9582]) ).
tcf(c_10765,plain,
! [X0: $i] : composition(zero,composition(join(X0,one),one)) = zero,
inference(superposition,[status(thm)],[c_1201,c_9582]) ).
tcf(c_10766,plain,
! [X0: $i] : composition(zero,composition(join(one,X0),one)) = zero,
inference(superposition,[status(thm)],[c_1194,c_9582]) ).
tcf(c_10776,plain,
! [X0: $i,X1: $i] : composition(join(zero,X0),join(one,X1)) = join(zero,composition(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_9582,c_68]) ).
tcf(c_10777,plain,
! [X0: $i,X1: $i] : composition(zero,composition(join(one,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_9582,c_66]) ).
tcf(c_10778,plain,
! [X0: $i,X1: $i] : composition(join(X0,zero),join(one,X1)) = join(composition(X0,join(one,X1)),zero),
inference(superposition,[status(thm)],[c_9582,c_68]) ).
tcf(c_10780,plain,
! [X0: $i] : composition(join(one,zero),join(one,X0)) = join(join(one,X0),zero),
inference(superposition,[status(thm)],[c_9582,c_1194]) ).
tcf(c_10781,plain,
! [X0: $i] : join(complement(join(one,X0)),composition(converse(zero),complement(zero))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_9582,c_90]) ).
tcf(c_10782,plain,
! [X0: $i] : composition(join(converse(one),X0),converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_9582,c_321]) ).
tcf(c_10784,plain,
! [X0: $i] : composition(converse(join(one,X0)),zero) = converse(zero),
inference(superposition,[status(thm)],[c_9582,c_3394]) ).
tcf(c_10786,plain,
! [X0: $i] : composition(X0,zero) = zero,
inference(light_normalisation,[status(thm)],[c_10782,c_1109,c_3363,c_8964]) ).
tcf(c_10787,plain,
! [X0: $i] : composition(join(one,zero),join(one,X0)) = join(one,join(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_10780,c_64,c_63]) ).
tcf(c_10788,plain,
! [X0: $i] : composition(join(one,zero),join(one,X0)) = join(one,X0),
inference(light_normalisation,[status(thm)],[c_10787,c_3047]) ).
tcf(c_10791,plain,
! [X0: $i] : join(complement(join(one,X0)),zero) = complement(join(one,X0)),
inference(light_normalisation,[status(thm)],[c_10781,c_3052,c_3363,c_9598]) ).
tcf(c_10792,plain,
! [X0: $i,X1: $i] : composition(join(X0,zero),join(one,X1)) = join(zero,composition(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_10778,c_64,c_63]) ).
tcf(c_10793,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,join(one,X1))) = composition(X0,join(one,X1)),
inference(light_normalisation,[status(thm)],[c_10792,c_3047]) ).
tcf(c_10795,plain,
! [X0: $i] : composition(zero,converse(X0)) = converse(zero),
inference(demodulation,[status(thm)],[c_3392,c_10786]) ).
tcf(c_10796,plain,
! [X0: $i] : converse(composition(zero,X0)) = zero,
inference(demodulation,[status(thm)],[c_3394,c_10786]) ).
tcf(c_10797,plain,
! [X0: $i] : composition(zero,converse(X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10795,c_3363]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(zero,composition(X1,zero)),
inference(superposition,[status(thm)],[c_10786,c_68]) ).
tcf(c_10807,plain,
! [X0: $i,X1: $i] : composition(X0,composition(zero,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10786,c_66]) ).
tcf(c_10808,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,zero)) = zero,
inference(superposition,[status(thm)],[c_10786,c_66]) ).
tcf(c_10809,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_10786,c_68]) ).
tcf(c_10810,plain,
! [X0: $i] : composition(join(X0,one),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_10786,c_1201]) ).
tcf(c_10811,plain,
! [X0: $i] : composition(join(one,X0),zero) = join(zero,zero),
inference(superposition,[status(thm)],[c_10786,c_1194]) ).
tcf(c_10812,plain,
! [X0: $i] : join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_90]) ).
tcf(c_10813,plain,
! [X0: $i] : composition(converse(zero),X0) = converse(zero),
inference(superposition,[status(thm)],[c_10786,c_257]) ).
tcf(c_10814,plain,
! [X0: $i,X1: $i] : composition(converse(zero),join(X0,converse(X1))) = converse(zero),
inference(superposition,[status(thm)],[c_10786,c_274]) ).
tcf(c_10815,plain,
! [X0: $i,X1: $i] : composition(converse(zero),join(converse(X0),X1)) = converse(zero),
inference(superposition,[status(thm)],[c_10786,c_325]) ).
tcf(c_10819,plain,
composition(converse(sk1),zero) = composition(zero,zero),
inference(superposition,[status(thm)],[c_10786,c_3214]) ).
tcf(c_10821,plain,
composition(converse(iPr_def_11),zero) = composition(zero,zero),
inference(superposition,[status(thm)],[c_10786,c_3698]) ).
tcf(c_10822,plain,
! [X0: $i] : composition(zero,X0) = zero,
inference(light_normalisation,[status(thm)],[c_10813,c_3363]) ).
tcf(c_10823,plain,
! [X0: $i,X1: $i] : composition(zero,join(converse(X0),X1)) = zero,
inference(light_normalisation,[status(thm)],[c_10815,c_3363]) ).
tcf(c_10824,plain,
! [X0: $i,X1: $i] : composition(zero,join(X0,converse(X1))) = zero,
inference(light_normalisation,[status(thm)],[c_10814,c_3363]) ).
tcf(c_10825,plain,
! [X0: $i] : join(top,composition(converse(X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_10812,c_3052]) ).
tcf(c_10826,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_10809,c_64,c_63]) ).
tcf(c_10827,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10826,c_9702]) ).
tcf(c_10831,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(sk1,X0)) = zero,
inference(demodulation,[status(thm)],[c_3698,c_10822]) ).
tcf(c_10832,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_11,X0)) = zero,
inference(demodulation,[status(thm)],[c_3214,c_10822]) ).
tcf(c_10840,plain,
! [X0: $i,X1: $i] : composition(join(zero,X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_10822,c_68]) ).
tcf(c_10841,plain,
! [X0: $i,X1: $i] : composition(zero,composition(X0,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10822,c_66]) ).
tcf(c_10842,plain,
! [X0: $i,X1: $i] : composition(join(X0,zero),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_10822,c_68]) ).
tcf(c_10844,plain,
! [X0: $i] : composition(join(one,zero),X0) = join(X0,zero),
inference(superposition,[status(thm)],[c_10822,c_1194]) ).
tcf(c_10845,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10822,c_90]) ).
tcf(c_10846,plain,
! [X0: $i] : composition(X0,converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_10822,c_256]) ).
tcf(c_10847,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_10822,c_271]) ).
tcf(c_10848,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_10822,c_321]) ).
tcf(c_10857,plain,
! [X0: $i] : composition(join(one,zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_10844,c_3047]) ).
tcf(c_10860,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10848,c_3363]) ).
tcf(c_10861,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10847,c_3363]) ).
tcf(c_10862,plain,
! [X0: $i] : join(complement(X0),composition(zero,top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_10845,c_3052,c_3363]) ).
tcf(c_10863,plain,
! [X0: $i,X1: $i] : composition(join(X0,zero),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_10842,c_64,c_63]) ).
tcf(c_10864,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,X1)) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_10863,c_3047]) ).
tcf(c_10870,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = composition(join(top,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_68]) ).
tcf(c_10871,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_10),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_9772,c_66]) ).
tcf(c_10872,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)) = composition(join(X0,top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_68]) ).
tcf(c_10874,plain,
composition(join(one,top),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_1194]) ).
tcf(c_10875,plain,
join(complement(converse(iPr_def_10)),composition(converse(top),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_90]) ).
tcf(c_10876,plain,
composition(iPr_def_10,converse(top)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_256]) ).
tcf(c_10877,plain,
composition(converse(converse(iPr_def_10)),top) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_2778]) ).
tcf(c_10881,plain,
composition(join(top,one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_10874,c_64,c_63]) ).
tcf(c_10882,plain,
join(complement(converse(iPr_def_10)),composition(top,complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_10875,c_2759]) ).
tcf(c_10883,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = composition(join(X0,top),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_10872,c_64,c_63]) ).
tcf(c_10884,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_10883,c_2628,c_9772]) ).
tcf(c_10888,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_9805,c_68]) ).
tcf(c_10889,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9805,c_66]) ).
tcf(c_10890,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_9805,c_68]) ).
tcf(c_10892,plain,
composition(join(one,converse(complement(iPr_def_12))),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_9805,c_1194]) ).
tcf(c_10893,plain,
join(complement(iPr_def_12),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9805,c_90]) ).
tcf(c_10894,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_9805,c_257]) ).
tcf(c_10897,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10889,c_10822]) ).
tcf(c_10898,plain,
join(complement(iPr_def_12),composition(converse(converse(complement(iPr_def_12))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10893,c_3052]) ).
tcf(c_10899,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_10890,c_64,c_63]) ).
tcf(c_10903,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_9806,c_68]) ).
tcf(c_10904,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9806,c_66]) ).
tcf(c_10905,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_9806,c_68]) ).
tcf(c_10907,plain,
composition(join(one,converse(iPr_def_12)),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_9806,c_1194]) ).
tcf(c_10908,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_9806,c_90]) ).
tcf(c_10909,plain,
composition(converse(complement(iPr_def_12)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_9806,c_257]) ).
tcf(c_10913,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10904,c_10822]) ).
tcf(c_10914,plain,
composition(join(one,converse(iPr_def_12)),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_10907,c_64,c_63]) ).
tcf(c_10916,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_12)),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_10908,c_3052]) ).
tcf(c_10917,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_10905,c_64,c_63]) ).
tcf(c_10940,plain,
composition(join(iPr_def_13,one),top) = top,
inference(superposition,[status(thm)],[c_3199,c_10478]) ).
tcf(c_10941,plain,
composition(join(iPr_def_10,one),top) = top,
inference(superposition,[status(thm)],[c_4269,c_10478]) ).
tcf(c_10944,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),top) = top,
inference(superposition,[status(thm)],[c_64,c_10478]) ).
tcf(c_10947,plain,
! [X0: $i] : composition(join(X0,top),top) = top,
inference(superposition,[status(thm)],[c_2640,c_10478]) ).
tcf(c_10948,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,one)),X2),top) = join(top,composition(X2,top)),
inference(superposition,[status(thm)],[c_10478,c_68]) ).
tcf(c_10949,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,one)),composition(top,X2)) = composition(top,X2),
inference(superposition,[status(thm)],[c_10478,c_66]) ).
tcf(c_10950,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_10478,c_68]) ).
tcf(c_10951,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,one)),one),top) = join(top,top),
inference(superposition,[status(thm)],[c_10478,c_1201]) ).
tcf(c_10952,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,one))),top) = join(top,top),
inference(superposition,[status(thm)],[c_10478,c_1194]) ).
tcf(c_10953,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(X0,join(X1,one))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_10478,c_90]) ).
tcf(c_10954,plain,
! [X0: $i,X1: $i] : composition(converse(top),join(X0,converse(join(X1,one)))) = converse(top),
inference(superposition,[status(thm)],[c_10478,c_274]) ).
tcf(c_10955,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,one)),iPr_def_11),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10478,c_504]) ).
tcf(c_10956,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,join(X0,join(X1,one))),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10478,c_495]) ).
tcf(c_10957,plain,
! [X0: $i,X1: $i] : composition(converse(complement(top)),join(X0,join(X1,one))) = zero,
inference(superposition,[status(thm)],[c_10478,c_7654]) ).
tcf(c_10958,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,one))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_10478,c_7621]) ).
tcf(c_10959,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(X0,join(X1,one)))) = converse(top),
inference(superposition,[status(thm)],[c_10478,c_2776]) ).
tcf(c_10963,plain,
! [X0: $i,X1: $i] : composition(top,join(one,converse(join(X0,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_10959,c_1342,c_2759]) ).
tcf(c_10964,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(join(X0,X1))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_10958,c_121,c_1342]) ).
tcf(c_10965,plain,
! [X0: $i,X1: $i] : composition(zero,join(X0,join(X1,one))) = zero,
inference(light_normalisation,[status(thm)],[c_10957,c_121,c_3363]) ).
tcf(c_10966,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,converse(join(X1,one)))) = top,
inference(light_normalisation,[status(thm)],[c_10954,c_2759]) ).
tcf(c_10967,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_11,one))),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_10955,c_64,c_63]) ).
tcf(c_10968,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,one))),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_10951,c_64,c_63]) ).
tcf(c_10969,plain,
! [X0: $i,X1: $i] : join(zero,composition(join(one,converse(join(X0,X1))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_10953,c_121,c_1342]) ).
tcf(c_10970,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_10950,c_64,c_63]) ).
tcf(c_10971,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,X2))),top) = join(top,composition(X2,top)),
inference(theory_normalisation,[status(thm)],[c_10948,c_64,c_63]) ).
tcf(c_11006,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = composition(join(top,X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_68]) ).
tcf(c_11007,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_12),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_9807,c_66]) ).
tcf(c_11008,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),converse(iPr_def_12)) = composition(join(X0,top),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_68]) ).
tcf(c_11010,plain,
composition(join(one,top),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_1194]) ).
tcf(c_11011,plain,
join(complement(converse(iPr_def_12)),composition(converse(top),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_90]) ).
tcf(c_11012,plain,
composition(iPr_def_12,converse(top)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_256]) ).
tcf(c_11013,plain,
composition(converse(converse(iPr_def_12)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_2778]) ).
tcf(c_11015,plain,
composition(sk1,converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_467]) ).
tcf(c_11018,plain,
composition(join(top,one),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11010,c_64,c_63]) ).
tcf(c_11019,plain,
join(complement(converse(iPr_def_12)),composition(top,complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_11011,c_2759]) ).
tcf(c_11020,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = composition(join(X0,top),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11008,c_64,c_63]) ).
tcf(c_11021,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11020,c_2628,c_9807]) ).
tcf(c_11025,plain,
composition(iPr_def_13,top) = iPr_def_12,
inference(demodulation,[status(thm)],[c_9808,c_3114]) ).
tcf(c_11026,plain,
! [X0: $i] : composition(join(iPr_def_13,X0),top) = join(iPr_def_12,composition(X0,top)),
inference(superposition,[status(thm)],[c_11025,c_68]) ).
tcf(c_11027,plain,
! [X0: $i] : composition(iPr_def_13,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_11025,c_66]) ).
tcf(c_11028,plain,
! [X0: $i] : composition(join(X0,iPr_def_13),top) = join(composition(X0,top),iPr_def_12),
inference(superposition,[status(thm)],[c_11025,c_68]) ).
tcf(c_11030,plain,
composition(join(one,iPr_def_13),top) = join(top,iPr_def_12),
inference(superposition,[status(thm)],[c_11025,c_1194]) ).
tcf(c_11031,plain,
join(complement(top),composition(converse(iPr_def_13),complement(iPr_def_12))) = complement(top),
inference(superposition,[status(thm)],[c_11025,c_90]) ).
tcf(c_11033,plain,
composition(join(iPr_def_11,iPr_def_13),top) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_11025,c_495]) ).
tcf(c_11034,plain,
composition(converse(complement(iPr_def_12)),iPr_def_13) = zero,
inference(superposition,[status(thm)],[c_11025,c_7654]) ).
tcf(c_11035,plain,
composition(converse(iPr_def_13),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_11025,c_7621]) ).
tcf(c_11036,plain,
composition(top,converse(iPr_def_13)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11025,c_2776]) ).
tcf(c_11037,plain,
join(iPr_def_12,iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11033,c_2978,c_11025]) ).
tcf(c_11040,plain,
composition(join(iPr_def_13,one),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_11030,c_64,c_63]) ).
tcf(c_11042,plain,
join(zero,composition(converse(iPr_def_13),complement(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_11031,c_121]) ).
tcf(c_11043,plain,
! [X0: $i] : composition(join(X0,iPr_def_13),top) = join(iPr_def_12,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_11028,c_64,c_63]) ).
tcf(c_11044,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),top) = composition(join(X0,iPr_def_13),top),
inference(light_normalisation,[status(thm)],[c_11043,c_9814]) ).
tcf(c_11079,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_64,c_9849]) ).
tcf(c_11086,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_9849,c_433]) ).
tcf(c_11087,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_9849,c_64]) ).
tcf(c_11090,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_9849,c_209]) ).
tcf(c_11091,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_9849,c_209]) ).
tcf(c_11098,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_11086,c_64,c_63]) ).
tcf(c_11099,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,zero))) = top,
inference(light_normalisation,[status(thm)],[c_11098,c_121]) ).
tcf(c_11101,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_11087,c_64,c_63]) ).
tcf(c_11111,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_9850]) ).
tcf(c_11116,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_11),top)) = top,
inference(superposition,[status(thm)],[c_504,c_9850]) ).
tcf(c_11117,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,X0),top)) = top,
inference(superposition,[status(thm)],[c_495,c_9850]) ).
tcf(c_11122,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_1201,c_9850]) ).
tcf(c_11123,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_1194,c_9850]) ).
tcf(c_11132,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_12,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_9850,c_64]) ).
tcf(c_11133,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_9850,c_209]) ).
tcf(c_11148,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_11132,c_64,c_63]) ).
tcf(c_11159,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,join(one,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_9944]) ).
tcf(c_11167,plain,
! [X0: $i] : composition(top,composition(join(X0,one),one)) = top,
inference(superposition,[status(thm)],[c_1201,c_9944]) ).
tcf(c_11168,plain,
! [X0: $i] : composition(top,composition(join(one,X0),one)) = top,
inference(superposition,[status(thm)],[c_1194,c_9944]) ).
tcf(c_11178,plain,
! [X0: $i,X1: $i] : composition(join(top,X0),join(one,X1)) = join(top,composition(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_9944,c_68]) ).
tcf(c_11179,plain,
! [X0: $i,X1: $i] : composition(top,composition(join(one,X0),X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_9944,c_66]) ).
tcf(c_11180,plain,
! [X0: $i,X1: $i] : composition(join(X0,top),join(one,X1)) = join(composition(X0,join(one,X1)),top),
inference(superposition,[status(thm)],[c_9944,c_68]) ).
tcf(c_11182,plain,
! [X0: $i] : composition(join(one,top),join(one,X0)) = join(join(one,X0),top),
inference(superposition,[status(thm)],[c_9944,c_1194]) ).
tcf(c_11183,plain,
! [X0: $i] : join(complement(join(one,X0)),composition(converse(top),complement(top))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_9944,c_90]) ).
tcf(c_11184,plain,
! [X0: $i] : composition(join(converse(one),X0),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_9944,c_321]) ).
tcf(c_11185,plain,
! [X0: $i] : composition(iPr_def_12,join(one,X0)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9944,c_9798]) ).
tcf(c_11186,plain,
! [X0: $i] : composition(iPr_def_10,join(one,X0)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9944,c_9761]) ).
tcf(c_11188,plain,
! [X0: $i] : composition(converse(join(one,X0)),top) = converse(top),
inference(superposition,[status(thm)],[c_9944,c_2778]) ).
tcf(c_11189,plain,
! [X0: $i] : composition(iPr_def_12,join(one,X0)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_9944,c_470]) ).
tcf(c_11190,plain,
! [X0: $i] : composition(iPr_def_10,join(one,X0)) = composition(sk1,top),
inference(superposition,[status(thm)],[c_9944,c_467]) ).
tcf(c_11191,plain,
! [X0: $i] : composition(iPr_def_10,join(one,X0)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11190,c_130]) ).
tcf(c_11192,plain,
! [X0: $i] : composition(iPr_def_12,join(one,X0)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11189,c_132]) ).
tcf(c_11193,plain,
! [X0: $i] : composition(join(one,converse(X0)),top) = top,
inference(light_normalisation,[status(thm)],[c_11188,c_1155,c_2759]) ).
tcf(c_11197,plain,
! [X0: $i] : composition(join(top,one),join(one,X0)) = join(top,join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_11182,c_64,c_63]) ).
tcf(c_11199,plain,
! [X0: $i] : join(complement(join(one,X0)),composition(top,zero)) = complement(join(one,X0)),
inference(light_normalisation,[status(thm)],[c_11183,c_121,c_2759]) ).
tcf(c_11200,plain,
! [X0: $i] : join(composition(top,zero),complement(join(one,X0))) = complement(join(one,X0)),
inference(theory_normalisation,[status(thm)],[c_11199,c_64,c_63]) ).
tcf(c_11201,plain,
! [X0: $i,X1: $i] : composition(join(X0,top),join(one,X1)) = join(top,composition(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_11180,c_64,c_63]) ).
tcf(c_11202,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,join(one,X1))) = composition(top,join(one,X1)),
inference(light_normalisation,[status(thm)],[c_11201,c_2628]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,join(X1,one))) = top,
inference(superposition,[status(thm)],[c_64,c_10497]) ).
tcf(c_11244,plain,
! [X0: $i,X1: $i] : composition(join(top,X0),join(X1,one)) = join(top,composition(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_10497,c_68]) ).
tcf(c_11245,plain,
! [X0: $i,X1: $i] : composition(top,composition(join(X0,one),X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_10497,c_66]) ).
tcf(c_11246,plain,
! [X0: $i,X1: $i] : composition(join(X0,top),join(X1,one)) = join(composition(X0,join(X1,one)),top),
inference(superposition,[status(thm)],[c_10497,c_68]) ).
tcf(c_11248,plain,
! [X0: $i] : composition(join(one,top),join(X0,one)) = join(join(X0,one),top),
inference(superposition,[status(thm)],[c_10497,c_1194]) ).
tcf(c_11249,plain,
! [X0: $i] : join(complement(join(X0,one)),composition(converse(top),complement(top))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_10497,c_90]) ).
tcf(c_11250,plain,
! [X0: $i] : composition(join(X0,converse(one)),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_10497,c_271]) ).
tcf(c_11251,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,one)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10497,c_9798]) ).
tcf(c_11252,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,one)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10497,c_9761]) ).
tcf(c_11254,plain,
! [X0: $i] : composition(converse(join(X0,one)),top) = converse(top),
inference(superposition,[status(thm)],[c_10497,c_2778]) ).
tcf(c_11255,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,one)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_10497,c_470]) ).
tcf(c_11256,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,one)) = composition(sk1,top),
inference(superposition,[status(thm)],[c_10497,c_467]) ).
tcf(c_11257,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,one)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11256,c_130]) ).
tcf(c_11258,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,one)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11255,c_132]) ).
tcf(c_11263,plain,
! [X0: $i] : composition(join(top,one),join(X0,one)) = join(X0,join(top,one)),
inference(theory_normalisation,[status(thm)],[c_11248,c_64,c_63]) ).
tcf(c_11265,plain,
! [X0: $i] : join(complement(join(X0,one)),composition(top,zero)) = complement(join(X0,one)),
inference(light_normalisation,[status(thm)],[c_11249,c_121,c_2759]) ).
tcf(c_11266,plain,
! [X0: $i] : join(composition(top,zero),complement(join(X0,one))) = complement(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_11265,c_64,c_63]) ).
tcf(c_11267,plain,
! [X0: $i,X1: $i] : composition(join(X0,top),join(X1,one)) = join(top,composition(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_11246,c_64,c_63]) ).
tcf(c_11268,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,join(X1,one))) = composition(top,join(X1,one)),
inference(light_normalisation,[status(thm)],[c_11267,c_2628]) ).
tcf(c_11383,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),iPr_def_13) = join(zero,composition(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_11034,c_68]) ).
tcf(c_11384,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_13,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_11034,c_66]) ).
tcf(c_11385,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_13) = join(composition(X0,iPr_def_13),zero),
inference(superposition,[status(thm)],[c_11034,c_68]) ).
tcf(c_11387,plain,
composition(join(one,converse(complement(iPr_def_12))),iPr_def_13) = join(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_11034,c_1194]) ).
tcf(c_11388,plain,
join(complement(iPr_def_13),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(iPr_def_13),
inference(superposition,[status(thm)],[c_11034,c_90]) ).
tcf(c_11389,plain,
composition(converse(iPr_def_13),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_11034,c_257]) ).
tcf(c_11392,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_13,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_11384,c_10822]) ).
tcf(c_11393,plain,
join(complement(iPr_def_13),composition(converse(converse(complement(iPr_def_12))),top)) = complement(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_11388,c_3052]) ).
tcf(c_11394,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),iPr_def_13) = join(zero,composition(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_11385,c_64,c_63]) ).
tcf(c_11398,plain,
! [X0: $i] : composition(join(converse(iPr_def_13),X0),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_11035,c_68]) ).
tcf(c_11399,plain,
! [X0: $i] : composition(converse(iPr_def_13),composition(complement(iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_11035,c_66]) ).
tcf(c_11400,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_13)),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_11035,c_68]) ).
tcf(c_11402,plain,
composition(join(one,converse(iPr_def_13)),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_11035,c_1194]) ).
tcf(c_11403,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_13)),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_11035,c_90]) ).
tcf(c_11404,plain,
composition(converse(complement(iPr_def_12)),iPr_def_13) = converse(zero),
inference(superposition,[status(thm)],[c_11035,c_257]) ).
tcf(c_11406,plain,
! [X0: $i] : composition(converse(iPr_def_13),composition(complement(iPr_def_12),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_11399,c_10822]) ).
tcf(c_11407,plain,
composition(join(one,converse(iPr_def_13)),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11402,c_64,c_63]) ).
tcf(c_11409,plain,
join(complement(complement(iPr_def_12)),composition(converse(converse(iPr_def_13)),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_11403,c_3052]) ).
tcf(c_11410,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_13)),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_11400,c_64,c_63]) ).
tcf(c_11415,plain,
composition(iPr_def_12,one) = composition(iPr_def_13,top),
inference(superposition,[status(thm)],[c_67,c_11027]) ).
tcf(c_11416,plain,
composition(iPr_def_12,top) = composition(iPr_def_13,top),
inference(superposition,[status(thm)],[c_9558,c_11027]) ).
tcf(c_11417,plain,
composition(iPr_def_12,zero) = composition(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_10786,c_11027]) ).
tcf(c_11418,plain,
composition(iPr_def_12,converse(sk1)) = composition(iPr_def_13,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4282,c_11027]) ).
tcf(c_11419,plain,
composition(iPr_def_12,converse(iPr_def_11)) = composition(iPr_def_13,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4284,c_11027]) ).
tcf(c_11420,plain,
composition(iPr_def_12,converse(iPr_def_10)) = composition(iPr_def_13,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_11027]) ).
tcf(c_11421,plain,
composition(iPr_def_12,converse(iPr_def_12)) = composition(iPr_def_13,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_11027]) ).
tcf(c_11422,plain,
composition(iPr_def_12,complement(composition(converse(top),top))) = composition(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_7622,c_11027]) ).
tcf(c_11423,plain,
! [X0: $i] : composition(iPr_def_12,composition(top,X0)) = composition(iPr_def_13,composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_11027]) ).
tcf(c_11424,plain,
! [X0: $i] : composition(iPr_def_12,join(one,X0)) = composition(iPr_def_13,top),
inference(superposition,[status(thm)],[c_9944,c_11027]) ).
tcf(c_11425,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,one)) = composition(iPr_def_13,top),
inference(superposition,[status(thm)],[c_10497,c_11027]) ).
tcf(c_11426,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(iPr_def_13,X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_11027,c_68]) ).
tcf(c_11427,plain,
! [X0: $i,X1: $i] : composition(iPr_def_13,composition(composition(top,X0),X1)) = composition(composition(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_11027,c_66]) ).
tcf(c_11428,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_12,X1)) = composition(join(X0,iPr_def_13),composition(top,X1)),
inference(superposition,[status(thm)],[c_11027,c_68]) ).
tcf(c_11430,plain,
! [X0: $i] : join(composition(top,X0),composition(iPr_def_12,X0)) = composition(join(one,iPr_def_13),composition(top,X0)),
inference(superposition,[status(thm)],[c_11027,c_1194]) ).
tcf(c_11431,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(iPr_def_13),complement(composition(iPr_def_12,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_11027,c_90]) ).
tcf(c_11436,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_13,converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_11421,c_10707]) ).
tcf(c_11437,plain,
composition(iPr_def_11,converse(iPr_def_10)) = composition(iPr_def_13,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_11420,c_10708]) ).
tcf(c_11442,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,X0)) = composition(join(iPr_def_13,one),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_11430,c_64,c_63]) ).
tcf(c_11443,plain,
! [X0: $i] : composition(join(iPr_def_13,one),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_11442,c_9022]) ).
tcf(c_11446,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(top,X0))) = composition(join(X1,iPr_def_13),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_11428,c_64,c_63]) ).
tcf(c_11447,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_12),composition(top,X1)) = composition(join(X0,iPr_def_13),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_11446,c_10714]) ).
tcf(c_11484,plain,
join(iPr_def_10,join(iPr_def_13,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_3199,c_11079]) ).
tcf(c_11485,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_4269,c_11079]) ).
tcf(c_11490,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_64,c_11079]) ).
tcf(c_11497,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_11079,c_433]) ).
tcf(c_11498,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_11079,c_64]) ).
tcf(c_11501,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_11079,c_209]) ).
tcf(c_11502,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_11079,c_209]) ).
tcf(c_11509,plain,
join(iPr_def_10,join(iPr_def_12,iPr_def_13)) = top,
inference(theory_normalisation,[status(thm)],[c_11484,c_64,c_63]) ).
tcf(c_11516,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_11497,c_64,c_63]) ).
tcf(c_11517,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_11516,c_121]) ).
tcf(c_11519,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_11498,c_64,c_63]) ).
tcf(c_11547,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_13))) = composition(join(top,X0),converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_68]) ).
tcf(c_11548,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_13),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_11036,c_66]) ).
tcf(c_11549,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_13)),converse(iPr_def_12)) = composition(join(X0,top),converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_68]) ).
tcf(c_11551,plain,
composition(join(one,top),converse(iPr_def_13)) = join(converse(iPr_def_13),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11036,c_1194]) ).
tcf(c_11552,plain,
join(complement(converse(iPr_def_13)),composition(converse(top),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_90]) ).
tcf(c_11553,plain,
composition(iPr_def_13,converse(top)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11036,c_256]) ).
tcf(c_11554,plain,
composition(iPr_def_12,converse(iPr_def_13)) = composition(iPr_def_13,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11036,c_11027]) ).
tcf(c_11555,plain,
composition(iPr_def_12,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_9798]) ).
tcf(c_11556,plain,
composition(iPr_def_10,converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_9761]) ).
tcf(c_11558,plain,
composition(converse(converse(iPr_def_13)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11036,c_2778]) ).
tcf(c_11559,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_470]) ).
tcf(c_11560,plain,
composition(sk1,converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_13)),
inference(superposition,[status(thm)],[c_11036,c_467]) ).
tcf(c_11562,plain,
composition(iPr_def_10,converse(iPr_def_11)) = composition(iPr_def_10,converse(iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_11560,c_4348]) ).
tcf(c_11566,plain,
composition(join(top,one),converse(iPr_def_13)) = join(converse(iPr_def_12),converse(iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_11551,c_64,c_63]) ).
tcf(c_11568,plain,
join(complement(converse(iPr_def_13)),composition(top,complement(converse(iPr_def_12)))) = complement(converse(iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_11552,c_2759]) ).
tcf(c_11569,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_13))) = composition(join(X0,top),converse(iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_11549,c_64,c_63]) ).
tcf(c_11570,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_13))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11569,c_2628,c_11036]) ).
tcf(c_11578,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(one,X1))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_11191]) ).
tcf(c_11586,plain,
! [X0: $i] : composition(iPr_def_10,composition(join(X0,one),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_1201,c_11191]) ).
tcf(c_11587,plain,
! [X0: $i] : composition(iPr_def_10,composition(join(one,X0),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_11191]) ).
tcf(c_11597,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,X0),join(one,X1)) = join(iPr_def_10,composition(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11191,c_68]) ).
tcf(c_11598,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(one,X0),X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11191,c_66]) ).
tcf(c_11599,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),join(one,X1)) = join(composition(X0,join(one,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_11191,c_68]) ).
tcf(c_11601,plain,
! [X0: $i] : composition(join(one,iPr_def_10),join(one,X0)) = join(join(one,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_11191,c_1194]) ).
tcf(c_11602,plain,
! [X0: $i] : join(complement(join(one,X0)),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_11191,c_90]) ).
tcf(c_11603,plain,
! [X0: $i] : composition(join(converse(one),X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11191,c_321]) ).
tcf(c_11604,plain,
! [X0: $i] : composition(join(one,X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_11603,c_1109]) ).
tcf(c_11605,plain,
! [X0: $i] : composition(join(iPr_def_10,one),join(one,X0)) = join(iPr_def_10,join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_11601,c_64,c_63]) ).
tcf(c_11608,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),join(one,X1)) = join(iPr_def_10,composition(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_11599,c_64,c_63]) ).
tcf(c_11650,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(one,X1))) = iPr_def_12,
inference(superposition,[status(thm)],[c_209,c_11192]) ).
tcf(c_11658,plain,
! [X0: $i] : composition(iPr_def_12,composition(join(X0,one),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1201,c_11192]) ).
tcf(c_11659,plain,
! [X0: $i] : composition(iPr_def_12,composition(join(one,X0),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1194,c_11192]) ).
tcf(c_11669,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,X0),join(one,X1)) = join(iPr_def_12,composition(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11192,c_68]) ).
tcf(c_11670,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(one,X0),X1)) = composition(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_11192,c_66]) ).
tcf(c_11671,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_12),join(one,X1)) = join(composition(X0,join(one,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_11192,c_68]) ).
tcf(c_11673,plain,
! [X0: $i] : composition(join(one,iPr_def_12),join(one,X0)) = join(join(one,X0),iPr_def_12),
inference(superposition,[status(thm)],[c_11192,c_1194]) ).
tcf(c_11674,plain,
! [X0: $i] : join(complement(join(one,X0)),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_11192,c_90]) ).
tcf(c_11675,plain,
! [X0: $i] : composition(join(converse(one),X0),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11192,c_321]) ).
tcf(c_11676,plain,
! [X0: $i] : composition(join(one,X0),converse(iPr_def_12)) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11675,c_1109]) ).
tcf(c_11677,plain,
! [X0: $i] : composition(join(iPr_def_12,one),join(one,X0)) = join(iPr_def_12,join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_11673,c_64,c_63]) ).
tcf(c_11680,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_12),join(one,X1)) = join(iPr_def_12,composition(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_11671,c_64,c_63]) ).
tcf(c_11712,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(X1,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_11257]) ).
tcf(c_11716,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,X0),join(X1,one)) = join(iPr_def_10,composition(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11257,c_68]) ).
tcf(c_11717,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(X0,one),X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11257,c_66]) ).
tcf(c_11718,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),join(X1,one)) = join(composition(X0,join(X1,one)),iPr_def_10),
inference(superposition,[status(thm)],[c_11257,c_68]) ).
tcf(c_11720,plain,
! [X0: $i] : composition(join(one,iPr_def_10),join(X0,one)) = join(join(X0,one),iPr_def_10),
inference(superposition,[status(thm)],[c_11257,c_1194]) ).
tcf(c_11721,plain,
! [X0: $i] : join(complement(join(X0,one)),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_11257,c_90]) ).
tcf(c_11722,plain,
! [X0: $i] : composition(join(X0,converse(one)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11257,c_271]) ).
tcf(c_11723,plain,
! [X0: $i] : composition(join(X0,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_11722,c_1109]) ).
tcf(c_11724,plain,
! [X0: $i] : composition(join(iPr_def_10,one),join(X0,one)) = join(X0,join(iPr_def_10,one)),
inference(theory_normalisation,[status(thm)],[c_11720,c_64,c_63]) ).
tcf(c_11726,plain,
! [X0: $i] : join(complement(join(X0,one)),zero) = complement(join(X0,one)),
inference(light_normalisation,[status(thm)],[c_11721,c_3111,c_9596]) ).
tcf(c_11727,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),join(X1,one)) = join(iPr_def_10,composition(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_11718,c_64,c_63]) ).
tcf(c_11764,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(X1,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_64,c_11258]) ).
tcf(c_11768,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,X0),join(X1,one)) = join(iPr_def_12,composition(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11258,c_68]) ).
tcf(c_11769,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(X0,one),X1)) = composition(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_11258,c_66]) ).
tcf(c_11770,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_12),join(X1,one)) = join(composition(X0,join(X1,one)),iPr_def_12),
inference(superposition,[status(thm)],[c_11258,c_68]) ).
tcf(c_11772,plain,
! [X0: $i] : composition(join(one,iPr_def_12),join(X0,one)) = join(join(X0,one),iPr_def_12),
inference(superposition,[status(thm)],[c_11258,c_1194]) ).
tcf(c_11773,plain,
! [X0: $i] : join(complement(join(X0,one)),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_11258,c_90]) ).
tcf(c_11774,plain,
! [X0: $i] : composition(join(X0,converse(one)),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11258,c_271]) ).
tcf(c_11775,plain,
! [X0: $i] : composition(join(X0,one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11774,c_1109]) ).
tcf(c_11776,plain,
! [X0: $i] : composition(join(iPr_def_12,one),join(X0,one)) = join(X0,join(iPr_def_12,one)),
inference(theory_normalisation,[status(thm)],[c_11772,c_64,c_63]) ).
tcf(c_11779,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_12),join(X1,one)) = join(iPr_def_12,composition(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_11770,c_64,c_63]) ).
tcf(c_11824,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X2,converse(X0)))) = converse(composition(join(X1,X2),converse(X0))),
inference(superposition,[status(thm)],[c_68,c_354]) ).
tcf(c_11826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,X3))) = converse(join(X2,join(composition(X1,converse(X0)),X3))),
inference(superposition,[status(thm)],[c_209,c_354]) ).
tcf(c_11827,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(converse(complement(converse(composition(X1,converse(X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_2767,c_354]) ).
tcf(c_11828,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(composition(X1,converse(X0)))) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_3114,c_354]) ).
tcf(c_11829,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(X2,complement(join(composition(X1,converse(X0)),X2))))) = converse(top),
inference(superposition,[status(thm)],[c_433,c_354]) ).
tcf(c_11830,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(complement(composition(X1,converse(X0))),X2))) = converse(top),
inference(superposition,[status(thm)],[c_2645,c_354]) ).
tcf(c_11831,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_2628,c_354]) ).
tcf(c_11832,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(zero)) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_3047,c_354]) ).
tcf(c_11833,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(X2,complement(composition(X1,converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_2636,c_354]) ).
tcf(c_11834,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X2,composition(X1,converse(X0))))) = converse(composition(join(X2,one),composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_1201,c_354]) ).
tcf(c_11835,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X2,composition(X1,converse(X0))))) = converse(composition(join(one,X2),composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_1194,c_354]) ).
tcf(c_11836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,join(X3,complement(composition(X1,converse(X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_3731,c_354]) ).
tcf(c_11837,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(composition(X1,converse(X0)),X2))) = converse(join(composition(X1,converse(X0)),X2)),
inference(superposition,[status(thm)],[c_3159,c_354]) ).
tcf(c_11838,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(complement(join(complement(composition(X1,converse(X0))),X2)))) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_4192,c_354]) ).
tcf(c_11839,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(complement(join(X2,complement(composition(X1,converse(X0))))))) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_4555,c_354]) ).
tcf(c_11840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(composition(X1,X2))),converse(X3)) = converse(join(composition(X1,composition(X2,converse(X0))),X3)),
inference(superposition,[status(thm)],[c_66,c_354]) ).
tcf(c_11841,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(converse(X1))),converse(X2)) = converse(join(converse(composition(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_71,c_354]) ).
tcf(c_11842,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(one)),converse(X1)) = converse(join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1118,c_354]) ).
tcf(c_11843,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(zero)),converse(X1)) = converse(join(zero,X1)),
inference(superposition,[status(thm)],[c_10822,c_354]) ).
tcf(c_11844,plain,
! [X0: $i] : join(composition(sk1,converse(top)),converse(X0)) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4282,c_354]) ).
tcf(c_11845,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(top)),converse(X0)) = converse(join(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_4284,c_354]) ).
tcf(c_11846,plain,
! [X0: $i] : join(composition(sk1,converse(iPr_def_12)),converse(X0)) = converse(join(composition(iPr_def_11,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_4326,c_354]) ).
tcf(c_11847,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_12)),converse(X0)) = converse(join(composition(iPr_def_11,converse(iPr_def_12)),X0)),
inference(superposition,[status(thm)],[c_4347,c_354]) ).
tcf(c_11848,plain,
! [X0: $i] : join(composition(iPr_def_12,converse(sk1)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_11)),X0)),
inference(superposition,[status(thm)],[c_4348,c_354]) ).
tcf(c_11849,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(top)),converse(X0)) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_9772,c_354]) ).
tcf(c_11850,plain,
! [X0: $i] : join(composition(iPr_def_12,converse(top)),converse(X0)) = converse(join(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_9807,c_354]) ).
tcf(c_11851,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(complement(composition(converse(X0),top))))),converse(X1)) = converse(join(zero,X1)),
inference(superposition,[status(thm)],[c_7654,c_354]) ).
tcf(c_11852,plain,
! [X0: $i] : join(composition(iPr_def_13,converse(top)),converse(X0)) = converse(join(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11036,c_354]) ).
tcf(c_11853,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),converse(X1)),converse(X2)) = converse(join(composition(X1,X0),X2)),
inference(superposition,[status(thm)],[c_69,c_354]) ).
tcf(c_11855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(X0),X1),converse(X2)),converse(X3)) = converse(join(composition(X2,join(converse(X1),X0)),X3)),
inference(superposition,[status(thm)],[c_312,c_354]) ).
tcf(c_11857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(X1)),converse(X2)),converse(X3)) = converse(join(composition(X2,join(X1,converse(X0))),X3)),
inference(superposition,[status(thm)],[c_264,c_354]) ).
tcf(c_11859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(composition(X0,converse(X1)),converse(X2)),converse(X3)) = converse(join(composition(X2,composition(X1,converse(X0))),X3)),
inference(superposition,[status(thm)],[c_256,c_354]) ).
tcf(c_11860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(composition(converse(X0),X1),converse(X2)),converse(X3)) = converse(join(composition(X2,composition(converse(X1),X0)),X3)),
inference(superposition,[status(thm)],[c_257,c_354]) ).
tcf(c_11861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(composition(X0,join(converse(X1),X2)),converse(X3)),converse(X4)) = converse(join(composition(X3,composition(join(X1,converse(X2)),converse(X0))),X4)),
inference(superposition,[status(thm)],[c_271,c_354]) ).
tcf(c_11862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(composition(join(converse(X0),X1),X2),converse(X3)),converse(X4)) = converse(join(composition(X3,composition(converse(X2),join(X0,converse(X1)))),X4)),
inference(superposition,[status(thm)],[c_274,c_354]) ).
tcf(c_11863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(composition(X0,join(X1,converse(X2))),converse(X3)),converse(X4)) = converse(join(composition(X3,composition(join(converse(X1),X2),converse(X0))),X4)),
inference(superposition,[status(thm)],[c_321,c_354]) ).
tcf(c_11864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(composition(join(X0,converse(X1)),X2),converse(X3)),converse(X4)) = converse(join(composition(X3,composition(converse(X2),join(converse(X0),X1))),X4)),
inference(superposition,[status(thm)],[c_325,c_354]) ).
tcf(c_11867,plain,
! [X0: $i,X1: $i] : join(composition(one,converse(X0)),converse(X1)) = converse(join(composition(X0,one),X1)),
inference(superposition,[status(thm)],[c_1109,c_354]) ).
tcf(c_11868,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(one,X0),converse(X1)),converse(X2)) = converse(join(composition(X1,join(one,converse(X0))),X2)),
inference(superposition,[status(thm)],[c_1155,c_354]) ).
tcf(c_11869,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,one),converse(X1)),converse(X2)) = converse(join(composition(X1,join(one,converse(X0))),X2)),
inference(superposition,[status(thm)],[c_1161,c_354]) ).
tcf(c_11870,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(composition(top,X0),converse(X1)),converse(X2)) = converse(join(composition(X1,composition(converse(X0),top)),X2)),
inference(superposition,[status(thm)],[c_2778,c_354]) ).
tcf(c_11871,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(composition(X0,top),converse(X1)),converse(X2)) = converse(join(composition(X1,composition(top,converse(X0))),X2)),
inference(superposition,[status(thm)],[c_2776,c_354]) ).
tcf(c_11872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(composition(X0,converse(X1)),X2),converse(X3)),converse(X4)) = converse(join(composition(X3,join(composition(X1,converse(X0)),converse(X2))),X4)),
inference(superposition,[status(thm)],[c_354,c_354]) ).
tcf(c_11873,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(composition(X0,converse(X1)),converse(X2)),complement(join(composition(X1,converse(X0)),X2)))) = complement(one),
inference(superposition,[status(thm)],[c_354,c_385]) ).
tcf(c_11874,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,converse(X1)),converse(X2)),complement(composition(join(composition(X1,converse(X0)),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_354,c_379]) ).
tcf(c_11875,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(X1)),X2),complement(composition(join(composition(X1,converse(X0)),converse(X2)),top))) = zero,
inference(superposition,[status(thm)],[c_354,c_7622]) ).
tcf(c_11876,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(X1)),converse(X2)),complement(composition(join(composition(X1,converse(X0)),X2),top))) = zero,
inference(superposition,[status(thm)],[c_354,c_7621]) ).
tcf(c_11877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(join(composition(X0,converse(X1)),X2),converse(X3)),converse(X4)) = converse(composition(X4,join(join(composition(X1,converse(X0)),converse(X2)),X3))),
inference(superposition,[status(thm)],[c_354,c_271]) ).
tcf(c_11878,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,converse(X1)),X2),converse(complement(join(composition(X1,converse(X0)),converse(X2))))) = top,
inference(superposition,[status(thm)],[c_354,c_2767]) ).
tcf(c_11879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(join(composition(X0,converse(X1)),converse(X2)),X3)) = join(converse(X3),join(composition(X1,converse(X0)),X2)),
inference(superposition,[status(thm)],[c_354,c_312]) ).
tcf(c_11880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(join(composition(X0,converse(X1)),converse(X2)),X3)) = composition(converse(X3),join(composition(X1,converse(X0)),X2)),
inference(superposition,[status(thm)],[c_354,c_257]) ).
tcf(c_11881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(join(composition(X0,converse(X1)),converse(X2)),X3)) = join(join(composition(X1,converse(X0)),X2),converse(X3)),
inference(superposition,[status(thm)],[c_354,c_250]) ).
tcf(c_11883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,converse(X1)),converse(X2)),converse(X3)) = converse(join(join(composition(X1,converse(X0)),X2),X3)),
inference(superposition,[status(thm)],[c_354,c_70]) ).
tcf(c_11884,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(composition(X0,converse(X1)),converse(X2))) = join(composition(X1,converse(X0)),X2),
inference(superposition,[status(thm)],[c_354,c_69]) ).
tcf(c_11885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),join(composition(X1,converse(X2)),X3)),converse(X4)) = converse(composition(X4,join(X0,join(composition(X2,converse(X1)),converse(X3))))),
inference(superposition,[status(thm)],[c_354,c_321]) ).
tcf(c_11886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(join(composition(X1,converse(X2)),X3),converse(X4))) = converse(composition(join(join(composition(X2,converse(X1)),converse(X3)),X4),X0)),
inference(superposition,[status(thm)],[c_354,c_274]) ).
tcf(c_11887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(composition(X1,converse(X2)),converse(X3)))) = join(join(composition(X2,converse(X1)),X3),converse(X0)),
inference(superposition,[status(thm)],[c_354,c_264]) ).
tcf(c_11888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(composition(X1,converse(X2)),converse(X3)),complement(composition(join(composition(X2,converse(X1)),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_90]) ).
tcf(c_11889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,join(composition(X1,converse(X2)),converse(X3)))) = composition(join(composition(X2,converse(X1)),X3),converse(X0)),
inference(superposition,[status(thm)],[c_354,c_256]) ).
tcf(c_11890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(composition(X1,converse(X2)),converse(X3)))) = join(converse(X0),join(composition(X2,converse(X1)),X3)),
inference(superposition,[status(thm)],[c_354,c_251]) ).
tcf(c_11892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(composition(X1,converse(X2)),converse(X3))) = converse(join(X0,join(composition(X2,converse(X1)),X3))),
inference(superposition,[status(thm)],[c_354,c_70]) ).
tcf(c_11893,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(X2))) = join(X2,converse(composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_354,c_264]) ).
tcf(c_11894,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(X2))) = join(converse(composition(X1,converse(X0))),X2),
inference(superposition,[status(thm)],[c_354,c_251]) ).
tcf(c_11895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),join(composition(X2,converse(X3)),X4))) = converse(composition(join(X1,join(composition(X3,converse(X2)),converse(X4))),X0)),
inference(superposition,[status(thm)],[c_354,c_325]) ).
tcf(c_11896,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(one)) = join(one,converse(composition(X1,converse(X0)))),
inference(superposition,[status(thm)],[c_354,c_1161]) ).
tcf(c_11897,plain,
! [X0: $i,X1: $i] : join(one,join(composition(X0,converse(X1)),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_354,c_3775]) ).
tcf(c_11898,plain,
! [X0: $i,X1: $i] : join(converse(top),composition(X0,converse(X1))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_11831,c_64,c_63]) ).
tcf(c_11899,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,converse(X1))) = top,
inference(light_normalisation,[status(thm)],[c_11898,c_2759]) ).
tcf(c_11900,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(one)),composition(X0,converse(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_11897,c_64,c_63]) ).
tcf(c_11903,plain,
! [X0: $i] : converse(join(converse(iPr_def_12),X0)) = join(iPr_def_12,converse(X0)),
inference(light_normalisation,[status(thm)],[c_11852,c_2759,c_11025]) ).
tcf(c_11905,plain,
! [X0: $i] : converse(join(converse(iPr_def_10),X0)) = join(iPr_def_10,converse(X0)),
inference(light_normalisation,[status(thm)],[c_11849,c_2759,c_9663]) ).
tcf(c_11908,plain,
! [X0: $i,X1: $i] : join(converse(X0),X1) = join(X1,converse(X0)),
inference(light_normalisation,[status(thm)],[c_11842,c_67,c_312,c_1109]) ).
tcf(c_11909,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(X1))) = converse(composition(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_11832,c_64,c_63]) ).
tcf(c_11910,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,converse(X1))) = converse(composition(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_11909,c_3363]) ).
tcf(c_11911,plain,
! [X0: $i,X1: $i] : join(composition(one,converse(X0)),converse(X1)) = converse(join(X0,X1)),
inference(light_normalisation,[status(thm)],[c_11867,c_67]) ).
tcf(c_11912,plain,
! [X0: $i,X1: $i] : join(converse(one),composition(X0,converse(X1))) = join(one,converse(composition(X1,converse(X0)))),
inference(theory_normalisation,[status(thm)],[c_11896,c_64,c_63]) ).
tcf(c_11915,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),converse(X2)) = converse(join(composition(X0,X1),X2)),
inference(light_normalisation,[status(thm)],[c_11853,c_71]) ).
tcf(c_11916,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_11)),X0)),
inference(light_normalisation,[status(thm)],[c_11848,c_4326]) ).
tcf(c_11917,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),converse(X0)) = converse(join(composition(iPr_def_11,converse(iPr_def_10)),X0)),
inference(light_normalisation,[status(thm)],[c_11846,c_4348]) ).
tcf(c_11921,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(X2,complement(composition(X1,converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_11833,c_2759]) ).
tcf(c_11922,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(complement(composition(X1,converse(X0))),X2))) = top,
inference(light_normalisation,[status(thm)],[c_11830,c_2759]) ).
tcf(c_11923,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(converse(complement(converse(composition(X1,converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_11827,c_2759]) ).
tcf(c_11926,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(X2,converse(complement(join(composition(X1,converse(X0)),converse(X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_11878,c_64,c_63]) ).
tcf(c_11927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,join(X3,complement(composition(X1,converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_11836,c_2759]) ).
tcf(c_11928,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(join(X2,complement(join(composition(X1,converse(X0)),X2))))) = top,
inference(light_normalisation,[status(thm)],[c_11829,c_2759]) ).
tcf(c_11929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(composition(X1,converse(X2)),converse(X3)))) = join(composition(X2,converse(X1)),join(X3,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_11887,c_64,c_63]) ).
tcf(c_11930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(converse(X2),converse(X3))) = converse(join(composition(X1,converse(X0)),join(X2,X3))),
inference(theory_normalisation,[status(thm)],[c_11883,c_64,c_63]) ).
tcf(c_11931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(X0,converse(X1)),join(converse(X2),X3))) = join(composition(X1,converse(X0)),join(X2,converse(X3))),
inference(theory_normalisation,[status(thm)],[c_11881,c_64,c_63]) ).
tcf(c_11932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(composition(X0,converse(X1)),join(converse(X2),X3))) = join(converse(X3),join(composition(X1,converse(X0)),X2)),
inference(theory_normalisation,[status(thm)],[c_11879,c_64,c_63]) ).
tcf(c_11933,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(composition(X0,converse(X1)),converse(X2))) = join(composition(X0,converse(X1)),converse(X2)),
inference(light_normalisation,[status(thm)],[c_11837,c_354]) ).
tcf(c_11934,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(composition(X0,converse(X1)),converse(X2))) = converse(composition(join(one,X2),composition(X1,converse(X0)))),
inference(light_normalisation,[status(thm)],[c_11835,c_356]) ).
tcf(c_11935,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(composition(X0,converse(X1)),converse(X2))) = converse(composition(join(X2,one),composition(X1,converse(X0)))),
inference(light_normalisation,[status(thm)],[c_11834,c_356]) ).
tcf(c_11936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(composition(X1,converse(X2)),join(X3,converse(X4)))) = converse(composition(join(composition(X2,converse(X1)),join(converse(X3),X4)),X0)),
inference(theory_normalisation,[status(thm)],[c_11886,c_64,c_63]) ).
tcf(c_11937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,converse(X1)),join(X2,converse(X3))),converse(X4)) = converse(composition(X4,join(composition(X1,converse(X0)),join(converse(X2),X3)))),
inference(theory_normalisation,[status(thm)],[c_11877,c_64,c_63]) ).
tcf(c_12189,plain,
composition(top,join(iPr_def_13,one)) = top,
inference(superposition,[status(thm)],[c_3199,c_11240]) ).
tcf(c_12190,plain,
composition(top,join(iPr_def_10,one)) = top,
inference(superposition,[status(thm)],[c_4269,c_11240]) ).
tcf(c_12194,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(X0,join(X1,join(X2,one)))) = top,
inference(superposition,[status(thm)],[c_64,c_11240]) ).
tcf(c_12197,plain,
! [X0: $i] : composition(top,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_2640,c_11240]) ).
tcf(c_12198,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(top,X0),join(X1,join(X2,one))) = join(top,composition(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_11240,c_68]) ).
tcf(c_12199,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,composition(join(X0,join(X1,one)),X2)) = composition(top,X2),
inference(superposition,[status(thm)],[c_11240,c_66]) ).
tcf(c_12200,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,top),join(X1,join(X2,one))) = join(composition(X0,join(X1,join(X2,one))),top),
inference(superposition,[status(thm)],[c_11240,c_68]) ).
tcf(c_12202,plain,
! [X0: $i,X1: $i] : composition(join(one,top),join(X0,join(X1,one))) = join(join(X0,join(X1,one)),top),
inference(superposition,[status(thm)],[c_11240,c_1194]) ).
tcf(c_12203,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,one))),composition(converse(top),complement(top))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11240,c_90]) ).
tcf(c_12204,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(X1,one))),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_11240,c_271]) ).
tcf(c_12205,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(X1,one))) = composition(iPr_def_13,top),
inference(superposition,[status(thm)],[c_11240,c_11027]) ).
tcf(c_12206,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(X1,one))) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_11240,c_9798]) ).
tcf(c_12207,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(X1,one))) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11240,c_9761]) ).
tcf(c_12209,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,one))),top) = converse(top),
inference(superposition,[status(thm)],[c_11240,c_2778]) ).
tcf(c_12210,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(X1,one))) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_11240,c_470]) ).
tcf(c_12211,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(X1,one))) = composition(sk1,top),
inference(superposition,[status(thm)],[c_11240,c_467]) ).
tcf(c_12217,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(join(X0,X1))),top) = top,
inference(light_normalisation,[status(thm)],[c_12209,c_1342,c_2759]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(X1,one))),top) = top,
inference(light_normalisation,[status(thm)],[c_12204,c_2759]) ).
tcf(c_12222,plain,
! [X0: $i,X1: $i] : composition(join(top,one),join(X0,join(X1,one))) = join(X0,join(X1,join(top,one))),
inference(theory_normalisation,[status(thm)],[c_12202,c_64,c_63]) ).
tcf(c_12224,plain,
! [X0: $i,X1: $i] : join(composition(converse(top),complement(top)),complement(join(X0,join(X1,one)))) = complement(join(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_12203,c_64,c_63]) ).
tcf(c_12225,plain,
! [X0: $i,X1: $i] : join(composition(top,zero),complement(join(X0,join(X1,one)))) = complement(join(X0,join(X1,one))),
inference(light_normalisation,[status(thm)],[c_12224,c_121,c_2759]) ).
tcf(c_12226,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,top),join(X1,join(X2,one))) = join(top,composition(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_12200,c_64,c_63]) ).
tcf(c_12227,plain,
! [X0: $i,X1: $i,X2: $i] : join(top,composition(X0,join(X1,join(X2,one)))) = composition(top,join(X1,join(X2,one))),
inference(light_normalisation,[status(thm)],[c_12226,c_2628]) ).
tcf(c_12252,plain,
composition(iPr_def_10,join(iPr_def_13,one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3199,c_11712]) ).
tcf(c_12253,plain,
composition(iPr_def_10,join(iPr_def_10,one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4269,c_11712]) ).
tcf(c_12257,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(X1,join(X2,one)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_11712]) ).
tcf(c_12260,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2640,c_11712]) ).
tcf(c_12261,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,X0),join(X1,join(X2,one))) = join(iPr_def_10,composition(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_11712,c_68]) ).
tcf(c_12262,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,composition(join(X0,join(X1,one)),X2)) = composition(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_11712,c_66]) ).
tcf(c_12263,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_10),join(X1,join(X2,one))) = join(composition(X0,join(X1,join(X2,one))),iPr_def_10),
inference(superposition,[status(thm)],[c_11712,c_68]) ).
tcf(c_12265,plain,
! [X0: $i,X1: $i] : composition(join(one,iPr_def_10),join(X0,join(X1,one))) = join(join(X0,join(X1,one)),iPr_def_10),
inference(superposition,[status(thm)],[c_11712,c_1194]) ).
tcf(c_12266,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,one))),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11712,c_90]) ).
tcf(c_12267,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(X1,one))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11712,c_271]) ).
tcf(c_12271,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,one),join(X0,join(X1,one))) = join(X0,join(X1,join(iPr_def_10,one))),
inference(theory_normalisation,[status(thm)],[c_12265,c_64,c_63]) ).
tcf(c_12273,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),complement(join(X0,join(X1,one)))) = complement(join(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_12266,c_64,c_63]) ).
tcf(c_12274,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(X0,join(X1,one)))) = complement(join(X0,join(X1,one))),
inference(light_normalisation,[status(thm)],[c_12273,c_3111,c_9596]) ).
tcf(c_12275,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_10),join(X1,join(X2,one))) = join(iPr_def_10,composition(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_12263,c_64,c_63]) ).
tcf(c_12299,plain,
composition(iPr_def_12,join(iPr_def_13,one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_3199,c_11764]) ).
tcf(c_12300,plain,
composition(iPr_def_12,join(iPr_def_10,one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_4269,c_11764]) ).
tcf(c_12304,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(X1,join(X2,one)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_64,c_11764]) ).
tcf(c_12307,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,top)) = iPr_def_12,
inference(superposition,[status(thm)],[c_2640,c_11764]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_12,X0),join(X1,join(X2,one))) = join(iPr_def_12,composition(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_11764,c_68]) ).
tcf(c_12309,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,composition(join(X0,join(X1,one)),X2)) = composition(iPr_def_12,X2),
inference(superposition,[status(thm)],[c_11764,c_66]) ).
tcf(c_12310,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_12),join(X1,join(X2,one))) = join(composition(X0,join(X1,join(X2,one))),iPr_def_12),
inference(superposition,[status(thm)],[c_11764,c_68]) ).
tcf(c_12312,plain,
! [X0: $i,X1: $i] : composition(join(one,iPr_def_12),join(X0,join(X1,one))) = join(join(X0,join(X1,one)),iPr_def_12),
inference(superposition,[status(thm)],[c_11764,c_1194]) ).
tcf(c_12313,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,one))),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11764,c_90]) ).
tcf(c_12314,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(X1,one))),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11764,c_271]) ).
tcf(c_12318,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,one),join(X0,join(X1,one))) = join(X0,join(X1,join(iPr_def_12,one))),
inference(theory_normalisation,[status(thm)],[c_12312,c_64,c_63]) ).
tcf(c_12320,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),complement(join(X0,join(X1,one)))) = complement(join(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_12313,c_64,c_63]) ).
tcf(c_12322,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_12),join(X1,join(X2,one))) = join(iPr_def_12,composition(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_12310,c_64,c_63]) ).
tcf(c_12329,plain,
composition(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_9411,c_10821,c_10822]) ).
tcf(c_12332,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = zero,
inference(superposition,[status(thm)],[c_467,c_10831]) ).
tcf(c_12336,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),X0),composition(sk1,X1)) = join(zero,composition(X0,composition(sk1,X1))),
inference(superposition,[status(thm)],[c_10831,c_68]) ).
tcf(c_12337,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_11),composition(composition(sk1,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10831,c_66]) ).
tcf(c_12338,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(sk1,X1)) = join(composition(X0,composition(sk1,X1)),zero),
inference(superposition,[status(thm)],[c_10831,c_68]) ).
tcf(c_12340,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(sk1,X0)) = join(composition(sk1,X0),zero),
inference(superposition,[status(thm)],[c_10831,c_1194]) ).
tcf(c_12341,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_10831,c_90]) ).
tcf(c_12342,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_10831,c_257]) ).
tcf(c_12343,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_12342,c_3363,c_5541]) ).
tcf(c_12344,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(sk1,X0)) = join(zero,composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_12340,c_64,c_63]) ).
tcf(c_12346,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(converse(converse(iPr_def_11)),top)) = complement(composition(sk1,X0)),
inference(light_normalisation,[status(thm)],[c_12341,c_3052]) ).
tcf(c_12347,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(sk1,X1)) = join(zero,composition(X0,composition(sk1,X1))),
inference(theory_normalisation,[status(thm)],[c_12338,c_64,c_63]) ).
tcf(c_12375,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_12,X0)) = zero,
inference(superposition,[status(thm)],[c_470,c_10832]) ).
tcf(c_12378,plain,
! [X0: $i,X1: $i] : composition(join(converse(sk1),X0),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_10832,c_68]) ).
tcf(c_12379,plain,
! [X0: $i,X1: $i] : composition(converse(sk1),composition(composition(iPr_def_11,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10832,c_66]) ).
tcf(c_12380,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(sk1)),composition(iPr_def_11,X1)) = join(composition(X0,composition(iPr_def_11,X1)),zero),
inference(superposition,[status(thm)],[c_10832,c_68]) ).
tcf(c_12382,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(iPr_def_11,X0)) = join(composition(iPr_def_11,X0),zero),
inference(superposition,[status(thm)],[c_10832,c_1194]) ).
tcf(c_12383,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(sk1)),complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_10832,c_90]) ).
tcf(c_12384,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_10832,c_257]) ).
tcf(c_12385,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_12384,c_3363,c_4833]) ).
tcf(c_12386,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(iPr_def_11,X0)) = join(zero,composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_12382,c_64,c_63]) ).
tcf(c_12388,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(sk1)),top)) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_12383,c_3052]) ).
tcf(c_12389,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(sk1)),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_12380,c_64,c_63]) ).
tcf(c_12405,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),X0),composition(iPr_def_10,X1)) = join(zero,composition(X0,composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_12332,c_68]) ).
tcf(c_12406,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_11),composition(composition(iPr_def_10,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12332,c_66]) ).
tcf(c_12407,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)) = join(composition(X0,composition(iPr_def_10,X1)),zero),
inference(superposition,[status(thm)],[c_12332,c_68]) ).
tcf(c_12409,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(iPr_def_10,X0)) = join(composition(iPr_def_10,X0),zero),
inference(superposition,[status(thm)],[c_12332,c_1194]) ).
tcf(c_12410,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12332,c_90]) ).
tcf(c_12411,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_12332,c_257]) ).
tcf(c_12412,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_12411,c_3363]) ).
tcf(c_12413,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(iPr_def_10,X0)) = join(zero,composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_12409,c_64,c_63]) ).
tcf(c_12415,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(iPr_def_11)),top)) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_12410,c_3052]) ).
tcf(c_12416,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)) = join(zero,composition(X0,composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_12407,c_64,c_63]) ).
tcf(c_12423,plain,
! [X0: $i] : composition(composition(X0,converse(sk1)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_256,c_12343]) ).
tcf(c_12426,plain,
composition(composition(top,converse(sk1)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_2776,c_12343]) ).
tcf(c_12431,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_11))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_4348,c_12343]) ).
tcf(c_12432,plain,
composition(converse(zero),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_7622,c_12343]) ).
tcf(c_12433,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(sk1,X0)),X1),iPr_def_11) = join(zero,composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_12343,c_68]) ).
tcf(c_12434,plain,
! [X0: $i,X1: $i] : composition(converse(composition(sk1,X0)),composition(iPr_def_11,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12343,c_66]) ).
tcf(c_12435,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(sk1,X1))),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_12343,c_68]) ).
tcf(c_12437,plain,
! [X0: $i] : composition(join(one,converse(composition(sk1,X0))),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_12343,c_1194]) ).
tcf(c_12438,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(converse(composition(sk1,X0))),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12343,c_90]) ).
tcf(c_12439,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(sk1,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12343,c_257]) ).
tcf(c_12444,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(sk1,X0))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_12438,c_2962,c_3052]) ).
tcf(c_12445,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(sk1,X1))),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_12435,c_64,c_63]) ).
tcf(c_12473,plain,
composition(converse(sk1),composition(iPr_def_11,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_4326,c_12375]) ).
tcf(c_12474,plain,
composition(converse(sk1),composition(iPr_def_11,converse(iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_4347,c_12375]) ).
tcf(c_12480,plain,
! [X0: $i,X1: $i] : composition(join(converse(sk1),X0),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(superposition,[status(thm)],[c_12375,c_68]) ).
tcf(c_12481,plain,
! [X0: $i,X1: $i] : composition(converse(sk1),composition(composition(iPr_def_12,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12375,c_66]) ).
tcf(c_12482,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(sk1)),composition(iPr_def_12,X1)) = join(composition(X0,composition(iPr_def_12,X1)),zero),
inference(superposition,[status(thm)],[c_12375,c_68]) ).
tcf(c_12484,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(iPr_def_12,X0)) = join(composition(iPr_def_12,X0),zero),
inference(superposition,[status(thm)],[c_12375,c_1194]) ).
tcf(c_12485,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(converse(sk1)),complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12375,c_90]) ).
tcf(c_12486,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_12375,c_257]) ).
tcf(c_12487,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_12486,c_3363]) ).
tcf(c_12488,plain,
! [X0: $i] : composition(join(one,converse(sk1)),composition(iPr_def_12,X0)) = join(zero,composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_12484,c_64,c_63]) ).
tcf(c_12490,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(converse(sk1)),top)) = complement(composition(iPr_def_12,X0)),
inference(light_normalisation,[status(thm)],[c_12485,c_3052]) ).
tcf(c_12491,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(sk1)),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(theory_normalisation,[status(thm)],[c_12482,c_64,c_63]) ).
tcf(c_12498,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_11)),sk1) = zero,
inference(superposition,[status(thm)],[c_256,c_12385]) ).
tcf(c_12501,plain,
composition(composition(top,converse(iPr_def_11)),sk1) = zero,
inference(superposition,[status(thm)],[c_2776,c_12385]) ).
tcf(c_12505,plain,
composition(converse(zero),sk1) = zero,
inference(superposition,[status(thm)],[c_10786,c_12385]) ).
tcf(c_12507,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),sk1) = join(zero,composition(X1,sk1)),
inference(superposition,[status(thm)],[c_12385,c_68]) ).
tcf(c_12508,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(sk1,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12385,c_66]) ).
tcf(c_12509,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),sk1) = join(composition(X0,sk1),zero),
inference(superposition,[status(thm)],[c_12385,c_68]) ).
tcf(c_12511,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_11,X0))),sk1) = join(sk1,zero),
inference(superposition,[status(thm)],[c_12385,c_1194]) ).
tcf(c_12512,plain,
! [X0: $i] : join(complement(sk1),composition(converse(converse(composition(iPr_def_11,X0))),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_12385,c_90]) ).
tcf(c_12513,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_11,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12385,c_257]) ).
tcf(c_12518,plain,
! [X0: $i] : join(complement(sk1),composition(converse(converse(composition(iPr_def_11,X0))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_12512,c_3052]) ).
tcf(c_12519,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),sk1) = join(zero,composition(X0,sk1)),
inference(theory_normalisation,[status(thm)],[c_12509,c_64,c_63]) ).
tcf(c_12542,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_10)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_256,c_12412]) ).
tcf(c_12545,plain,
composition(composition(top,converse(iPr_def_10)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_2776,c_12412]) ).
tcf(c_12554,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),iPr_def_11) = join(zero,composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_12412,c_68]) ).
tcf(c_12555,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_11,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12412,c_66]) ).
tcf(c_12556,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_12412,c_68]) ).
tcf(c_12558,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_10,X0))),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_12412,c_1194]) ).
tcf(c_12559,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(converse(composition(iPr_def_10,X0))),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12412,c_90]) ).
tcf(c_12560,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12412,c_257]) ).
tcf(c_12564,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(iPr_def_10,X0))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_12559,c_2962,c_3052]) ).
tcf(c_12565,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_12556,c_64,c_63]) ).
tcf(c_12573,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_9854,c_10822]) ).
tcf(c_12574,plain,
composition(converse(iPr_def_12),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_130,c_12573]) ).
tcf(c_12576,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = zero,
inference(superposition,[status(thm)],[c_467,c_12573]) ).
tcf(c_12580,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),X0),composition(sk1,X1)) = join(zero,composition(X0,composition(sk1,X1))),
inference(superposition,[status(thm)],[c_12573,c_68]) ).
tcf(c_12581,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_12),composition(composition(sk1,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12573,c_66]) ).
tcf(c_12582,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(sk1,X1)) = join(composition(X0,composition(sk1,X1)),zero),
inference(superposition,[status(thm)],[c_12573,c_68]) ).
tcf(c_12584,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(sk1,X0)) = join(composition(sk1,X0),zero),
inference(superposition,[status(thm)],[c_12573,c_1194]) ).
tcf(c_12585,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_12573,c_90]) ).
tcf(c_12586,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_12573,c_257]) ).
tcf(c_12587,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_12586,c_3363]) ).
tcf(c_12588,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(sk1,X0)) = join(zero,composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_12584,c_64,c_63]) ).
tcf(c_12590,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),converse(converse(iPr_def_12))) = complement(composition(sk1,X0)),
inference(light_normalisation,[status(thm)],[c_12585,c_3052,c_11013]) ).
tcf(c_12591,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),complement(composition(sk1,X0))) = complement(composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_12590,c_64,c_63]) ).
tcf(c_12592,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(sk1,X1)) = join(zero,composition(X0,composition(sk1,X1))),
inference(theory_normalisation,[status(thm)],[c_12582,c_64,c_63]) ).
tcf(c_12600,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_12574,c_68]) ).
tcf(c_12601,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_12574,c_66]) ).
tcf(c_12602,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),iPr_def_10) = join(composition(X0,iPr_def_10),zero),
inference(superposition,[status(thm)],[c_12574,c_68]) ).
tcf(c_12604,plain,
composition(join(one,converse(iPr_def_12)),iPr_def_10) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_12574,c_1194]) ).
tcf(c_12605,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12574,c_90]) ).
tcf(c_12606,plain,
composition(converse(iPr_def_10),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_12574,c_257]) ).
tcf(c_12607,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12574,c_379]) ).
tcf(c_12608,plain,
composition(converse(iPr_def_10),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_12606,c_3363]) ).
tcf(c_12609,plain,
join(iPr_def_11,converse(converse(iPr_def_12))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12607,c_3052,c_11013]) ).
tcf(c_12613,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_12602,c_64,c_63]) ).
tcf(c_12632,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_12608,c_68]) ).
tcf(c_12633,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_12608,c_66]) ).
tcf(c_12634,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_12608,c_68]) ).
tcf(c_12636,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_12608,c_1194]) ).
tcf(c_12637,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12608,c_90]) ).
tcf(c_12638,plain,
composition(converse(iPr_def_12),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_12608,c_257]) ).
tcf(c_12641,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_12633,c_10822]) ).
tcf(c_12642,plain,
join(complement(iPr_def_12),converse(converse(iPr_def_10))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12637,c_3052,c_10877]) ).
tcf(c_12643,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_12634,c_64,c_63]) ).
tcf(c_12647,plain,
iPr_def_11 = iPr_def_13,
inference(demodulation,[status(thm)],[c_12609,c_69,c_133]) ).
tcf(c_12652,plain,
composition(iPr_def_11,top) = iPr_def_12,
inference(demodulation,[status(thm)],[c_11025,c_12647]) ).
tcf(c_12653,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,complement(iPr_def_12)))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_6076,c_12647]) ).
tcf(c_12656,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(demodulation,[status(thm)],[c_5837,c_12647]) ).
tcf(c_12657,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_12),X0))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_5068,c_12647]) ).
tcf(c_12658,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_4561,c_12647]) ).
tcf(c_12660,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_11),X0)) = join(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_4269,c_12647]) ).
tcf(c_12661,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = top,
inference(demodulation,[status(thm)],[c_5835,c_12647]) ).
tcf(c_12662,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = top,
inference(demodulation,[status(thm)],[c_5700,c_12647]) ).
tcf(c_12671,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(iPr_def_12)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1699,c_12647]) ).
tcf(c_12679,plain,
join(iPr_def_11,complement(iPr_def_12)) = top,
inference(demodulation,[status(thm)],[c_2277,c_12647]) ).
tcf(c_12680,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_892,c_12647]) ).
tcf(c_12681,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_724,c_12647]) ).
tcf(c_12682,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_559,c_12647]) ).
tcf(c_12683,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_426,c_12647]) ).
tcf(c_12684,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_133,c_12647]) ).
tcf(c_12685,plain,
( ( iPr_def_11 != iPr_def_12 )
| ( iPr_def_11 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_134,c_12647]) ).
tcf(c_12687,plain,
iPr_def_11 != iPr_def_12,
inference(equality_resolution_simp,[status(thm)],[c_12685]) ).
tcf(c_12690,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12658,c_2962]) ).
tcf(c_12719,plain,
join(iPr_def_11,join(iPr_def_12,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12684,c_433]) ).
tcf(c_12728,plain,
join(iPr_def_11,join(iPr_def_12,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_12719,c_2962]) ).
tcf(c_12729,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_12728,c_64,c_63]) ).
tcf(c_12732,plain,
join(iPr_def_11,join(complement(iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_12679,c_433]) ).
tcf(c_12733,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_12679,c_64]) ).
tcf(c_12734,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_12679,c_209]) ).
tcf(c_12742,plain,
join(iPr_def_11,join(complement(iPr_def_12),zero)) = top,
inference(light_normalisation,[status(thm)],[c_12732,c_121]) ).
tcf(c_12743,plain,
join(iPr_def_11,join(zero,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_12742,c_64,c_63]) ).
tcf(c_12746,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_12)),sk1) = zero,
inference(superposition,[status(thm)],[c_256,c_12487]) ).
tcf(c_12749,plain,
composition(composition(top,converse(iPr_def_12)),sk1) = zero,
inference(superposition,[status(thm)],[c_2776,c_12487]) ).
tcf(c_12753,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_10))),sk1) = zero,
inference(superposition,[status(thm)],[c_4326,c_12487]) ).
tcf(c_12754,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_12))),sk1) = zero,
inference(superposition,[status(thm)],[c_4347,c_12487]) ).
tcf(c_12760,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),sk1) = join(zero,composition(X1,sk1)),
inference(superposition,[status(thm)],[c_12487,c_68]) ).
tcf(c_12761,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(sk1,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12487,c_66]) ).
tcf(c_12762,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),sk1) = join(composition(X0,sk1),zero),
inference(superposition,[status(thm)],[c_12487,c_68]) ).
tcf(c_12764,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),sk1) = join(sk1,zero),
inference(superposition,[status(thm)],[c_12487,c_1194]) ).
tcf(c_12765,plain,
! [X0: $i] : join(complement(sk1),composition(converse(converse(composition(iPr_def_12,X0))),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_12487,c_90]) ).
tcf(c_12766,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_12,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12487,c_257]) ).
tcf(c_12769,plain,
composition(composition(iPr_def_11,converse(iPr_def_12)),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_12754,c_5976]) ).
tcf(c_12771,plain,
! [X0: $i] : join(complement(sk1),composition(converse(converse(composition(iPr_def_12,X0))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_12765,c_3052]) ).
tcf(c_12772,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),sk1) = join(zero,composition(X0,sk1)),
inference(theory_normalisation,[status(thm)],[c_12762,c_64,c_63]) ).
tcf(c_12787,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),X0),composition(iPr_def_10,X1)) = join(zero,composition(X0,composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_12576,c_68]) ).
tcf(c_12788,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_12),composition(composition(iPr_def_10,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12576,c_66]) ).
tcf(c_12789,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)) = join(composition(X0,composition(iPr_def_10,X1)),zero),
inference(superposition,[status(thm)],[c_12576,c_68]) ).
tcf(c_12791,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(iPr_def_10,X0)) = join(composition(iPr_def_10,X0),zero),
inference(superposition,[status(thm)],[c_12576,c_1194]) ).
tcf(c_12792,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12576,c_90]) ).
tcf(c_12793,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_12576,c_257]) ).
tcf(c_12794,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_12793,c_3363]) ).
tcf(c_12795,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(iPr_def_10,X0)) = join(zero,composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_12791,c_64,c_63]) ).
tcf(c_12797,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),converse(converse(iPr_def_12))) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_12792,c_3052,c_11013]) ).
tcf(c_12798,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),complement(composition(iPr_def_10,X0))) = complement(composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_12797,c_64,c_63]) ).
tcf(c_12799,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)) = join(zero,composition(X0,composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_12789,c_64,c_63]) ).
tcf(c_12806,plain,
! [X0: $i] : composition(composition(X0,converse(sk1)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_256,c_12587]) ).
tcf(c_12809,plain,
composition(composition(top,converse(sk1)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_2776,c_12587]) ).
tcf(c_12814,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_11))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_4348,c_12587]) ).
tcf(c_12815,plain,
composition(converse(zero),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_7622,c_12587]) ).
tcf(c_12816,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(sk1,X0)),X1),iPr_def_12) = join(zero,composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_12587,c_68]) ).
tcf(c_12817,plain,
! [X0: $i,X1: $i] : composition(converse(composition(sk1,X0)),composition(iPr_def_12,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12587,c_66]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(sk1,X1))),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_12587,c_68]) ).
tcf(c_12820,plain,
! [X0: $i] : composition(join(one,converse(composition(sk1,X0))),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_12587,c_1194]) ).
tcf(c_12821,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(sk1,X0))),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12587,c_90]) ).
tcf(c_12822,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12587,c_257]) ).
tcf(c_12827,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(sk1,X0))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12821,c_3052]) ).
tcf(c_12828,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(sk1,X1))),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_12818,c_64,c_63]) ).
tcf(c_12838,plain,
composition(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_4326,c_12641]) ).
tcf(c_12839,plain,
composition(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_4347,c_12641]) ).
tcf(c_12845,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(superposition,[status(thm)],[c_12641,c_68]) ).
tcf(c_12846,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),composition(composition(iPr_def_12,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12641,c_66]) ).
tcf(c_12847,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,X1)) = join(composition(X0,composition(iPr_def_12,X1)),zero),
inference(superposition,[status(thm)],[c_12641,c_68]) ).
tcf(c_12849,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_10)),composition(iPr_def_12,X0)) = join(composition(iPr_def_12,X0),zero),
inference(superposition,[status(thm)],[c_12641,c_1194]) ).
tcf(c_12850,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12641,c_90]) ).
tcf(c_12851,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_12641,c_257]) ).
tcf(c_12852,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_12851,c_3363]) ).
tcf(c_12853,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_10)),composition(iPr_def_12,X0)) = join(zero,composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_12849,c_64,c_63]) ).
tcf(c_12855,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),converse(converse(iPr_def_10))) = complement(composition(iPr_def_12,X0)),
inference(light_normalisation,[status(thm)],[c_12850,c_3052,c_10877]) ).
tcf(c_12856,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),complement(composition(iPr_def_12,X0))) = complement(composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_12855,c_64,c_63]) ).
tcf(c_12857,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(theory_normalisation,[status(thm)],[c_12847,c_64,c_63]) ).
tcf(c_12864,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10365,c_10822]) ).
tcf(c_12871,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_12864,c_68]) ).
tcf(c_12872,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),composition(composition(iPr_def_11,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12864,c_66]) ).
tcf(c_12873,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)) = join(composition(X0,composition(iPr_def_11,X1)),zero),
inference(superposition,[status(thm)],[c_12864,c_68]) ).
tcf(c_12875,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_10)),composition(iPr_def_11,X0)) = join(composition(iPr_def_11,X0),zero),
inference(superposition,[status(thm)],[c_12864,c_1194]) ).
tcf(c_12876,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_12864,c_90]) ).
tcf(c_12877,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_12864,c_257]) ).
tcf(c_12878,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_12877,c_3363]) ).
tcf(c_12879,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_10)),composition(iPr_def_11,X0)) = join(zero,composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_12875,c_64,c_63]) ).
tcf(c_12881,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),converse(converse(iPr_def_10))) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_12876,c_3052,c_10877]) ).
tcf(c_12882,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),complement(composition(iPr_def_11,X0))) = complement(composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_12881,c_64,c_63]) ).
tcf(c_12883,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_12873,c_64,c_63]) ).
tcf(c_12915,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_12661]) ).
tcf(c_12923,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1201,c_12661]) ).
tcf(c_12924,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1194,c_12661]) ).
tcf(c_12931,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(iPr_def_12),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_12661,c_64]) ).
tcf(c_12932,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_12661,c_209]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_12931,c_64,c_63]) ).
tcf(c_12966,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_12662,c_433]) ).
tcf(c_12967,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_12662,c_64]) ).
tcf(c_12970,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_12662,c_209]) ).
tcf(c_12971,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12662,c_209]) ).
tcf(c_12979,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_12966,c_64,c_63]) ).
tcf(c_12980,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),zero))) = top,
inference(light_normalisation,[status(thm)],[c_12979,c_121]) ).
tcf(c_12981,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(zero,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_12980,c_64,c_63]) ).
tcf(c_12983,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_12967,c_64,c_63]) ).
tcf(c_12986,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_10)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_256,c_12794]) ).
tcf(c_12989,plain,
composition(composition(top,converse(iPr_def_10)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_2776,c_12794]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),iPr_def_12) = join(zero,composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_12794,c_68]) ).
tcf(c_12999,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12794,c_66]) ).
tcf(c_13000,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_12794,c_68]) ).
tcf(c_13002,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_10,X0))),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_12794,c_1194]) ).
tcf(c_13003,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(iPr_def_10,X0))),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12794,c_90]) ).
tcf(c_13004,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12794,c_257]) ).
tcf(c_13008,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(iPr_def_10,X0))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13003,c_3052]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_13000,c_64,c_63]) ).
tcf(c_13016,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_12)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_256,c_12852]) ).
tcf(c_13019,plain,
composition(composition(top,converse(iPr_def_12)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_2776,c_12852]) ).
tcf(c_13023,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_10))),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_4326,c_12852]) ).
tcf(c_13024,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_12))),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_4347,c_12852]) ).
tcf(c_13025,plain,
composition(converse(zero),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_7622,c_12852]) ).
tcf(c_13030,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),iPr_def_10) = join(zero,composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_12852,c_68]) ).
tcf(c_13031,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12852,c_66]) ).
tcf(c_13032,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),iPr_def_10) = join(composition(X0,iPr_def_10),zero),
inference(superposition,[status(thm)],[c_12852,c_68]) ).
tcf(c_13034,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),iPr_def_10) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_12852,c_1194]) ).
tcf(c_13035,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(converse(composition(iPr_def_12,X0))),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12852,c_90]) ).
tcf(c_13036,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12852,c_257]) ).
tcf(c_13037,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_12,X0))),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12852,c_379]) ).
tcf(c_13041,plain,
composition(composition(iPr_def_11,converse(iPr_def_12)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_13024,c_5976]) ).
tcf(c_13042,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_12,X0))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13037,c_3052]) ).
tcf(c_13045,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_13032,c_64,c_63]) ).
tcf(c_13082,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_11)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_256,c_12878]) ).
tcf(c_13085,plain,
composition(composition(top,converse(iPr_def_11)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_2776,c_12878]) ).
tcf(c_13092,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),iPr_def_10) = join(zero,composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_12878,c_68]) ).
tcf(c_13093,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(iPr_def_10,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12878,c_66]) ).
tcf(c_13094,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),iPr_def_10) = join(composition(X0,iPr_def_10),zero),
inference(superposition,[status(thm)],[c_12878,c_68]) ).
tcf(c_13096,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_11,X0))),iPr_def_10) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_12878,c_1194]) ).
tcf(c_13097,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(converse(composition(iPr_def_11,X0))),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12878,c_90]) ).
tcf(c_13098,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12878,c_257]) ).
tcf(c_13099,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_11,X0))),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12878,c_379]) ).
tcf(c_13102,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_11,X0))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13099,c_3052]) ).
tcf(c_13105,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),iPr_def_10) = join(zero,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_13094,c_64,c_63]) ).
tcf(c_13118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),composition(X2,converse(X3))) = converse(join(X0,join(X1,composition(X3,converse(X2))))),
inference(superposition,[status(thm)],[c_64,c_359]) ).
tcf(c_13119,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,converse(X1))),composition(X1,converse(X2))) = converse(composition(join(X0,X2),converse(X1))),
inference(superposition,[status(thm)],[c_68,c_359]) ).
tcf(c_13123,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),composition(X0,converse(X1))) = converse(composition(join(X1,one),converse(X0))),
inference(superposition,[status(thm)],[c_1201,c_359]) ).
tcf(c_13124,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),composition(X0,converse(X1))) = converse(composition(join(one,X1),converse(X0))),
inference(superposition,[status(thm)],[c_1194,c_359]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(X1,converse(composition(X2,X3)))) = converse(join(X0,composition(X2,composition(X3,converse(X1))))),
inference(superposition,[status(thm)],[c_66,c_359]) ).
tcf(c_13126,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(X1,converse(converse(X2)))) = converse(join(X0,converse(composition(X1,X2)))),
inference(superposition,[status(thm)],[c_71,c_359]) ).
tcf(c_13127,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(one))) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_1118,c_359]) ).
tcf(c_13128,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(zero))) = converse(join(X0,zero)),
inference(superposition,[status(thm)],[c_10822,c_359]) ).
tcf(c_13129,plain,
! [X0: $i] : join(converse(X0),composition(sk1,converse(top))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_4282,c_359]) ).
tcf(c_13130,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_11,converse(top))) = converse(join(X0,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_4284,c_359]) ).
tcf(c_13131,plain,
! [X0: $i] : join(converse(X0),composition(sk1,converse(iPr_def_12))) = converse(join(X0,composition(iPr_def_11,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_4326,c_359]) ).
tcf(c_13132,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_11,converse(iPr_def_12))) = converse(join(X0,composition(iPr_def_11,converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_4347,c_359]) ).
tcf(c_13133,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_12,converse(sk1))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_4348,c_359]) ).
tcf(c_13134,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_10,converse(top))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_9772,c_359]) ).
tcf(c_13135,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_12,converse(top))) = converse(join(X0,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_9807,c_359]) ).
tcf(c_13136,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(converse(complement(composition(converse(X1),top)))))) = converse(join(X0,zero)),
inference(superposition,[status(thm)],[c_7654,c_359]) ).
tcf(c_13137,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),converse(X2))) = converse(join(X0,composition(X2,X1))),
inference(superposition,[status(thm)],[c_69,c_359]) ).
tcf(c_13139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(join(converse(X1),X2),converse(X3))) = converse(join(X0,composition(X3,join(converse(X2),X1)))),
inference(superposition,[status(thm)],[c_312,c_359]) ).
tcf(c_13141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(join(X1,converse(X2)),converse(X3))) = converse(join(X0,composition(X3,join(X2,converse(X1))))),
inference(superposition,[status(thm)],[c_264,c_359]) ).
tcf(c_13143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(composition(X1,converse(X2)),converse(X3))) = converse(join(X0,composition(X3,composition(X2,converse(X1))))),
inference(superposition,[status(thm)],[c_256,c_359]) ).
tcf(c_13144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),composition(composition(converse(X1),X2),converse(X3))) = converse(join(X0,composition(X3,composition(converse(X2),X1)))),
inference(superposition,[status(thm)],[c_257,c_359]) ).
tcf(c_13145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(composition(X1,join(converse(X2),X3)),converse(X4))) = converse(join(X0,composition(X4,composition(join(X2,converse(X3)),converse(X1))))),
inference(superposition,[status(thm)],[c_271,c_359]) ).
tcf(c_13146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(composition(join(converse(X1),X2),X3),converse(X4))) = converse(join(X0,composition(X4,composition(converse(X3),join(X1,converse(X2)))))),
inference(superposition,[status(thm)],[c_274,c_359]) ).
tcf(c_13147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(composition(X1,join(X2,converse(X3))),converse(X4))) = converse(join(X0,composition(X4,composition(join(converse(X2),X3),converse(X1))))),
inference(superposition,[status(thm)],[c_321,c_359]) ).
tcf(c_13148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(composition(join(X1,converse(X2)),X3),converse(X4))) = converse(join(X0,composition(X4,composition(converse(X3),join(converse(X1),X2))))),
inference(superposition,[status(thm)],[c_325,c_359]) ).
tcf(c_13149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(join(composition(X1,converse(X2)),X3),converse(X4))) = converse(join(X0,composition(X4,join(composition(X2,converse(X1)),converse(X3))))),
inference(superposition,[status(thm)],[c_354,c_359]) ).
tcf(c_13152,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(one,converse(X1))) = converse(join(X0,composition(X1,one))),
inference(superposition,[status(thm)],[c_1109,c_359]) ).
tcf(c_13153,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(join(one,X1),converse(X2))) = converse(join(X0,composition(X2,join(one,converse(X1))))),
inference(superposition,[status(thm)],[c_1155,c_359]) ).
tcf(c_13154,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(join(X1,one),converse(X2))) = converse(join(X0,composition(X2,join(one,converse(X1))))),
inference(superposition,[status(thm)],[c_1161,c_359]) ).
tcf(c_13155,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(composition(top,X1),converse(X2))) = converse(join(X0,composition(X2,composition(converse(X1),top)))),
inference(superposition,[status(thm)],[c_2778,c_359]) ).
tcf(c_13156,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(composition(X1,top),converse(X2))) = converse(join(X0,composition(X2,composition(top,converse(X1))))),
inference(superposition,[status(thm)],[c_2776,c_359]) ).
tcf(c_13157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,composition(X1,converse(X2))),converse(X3)),converse(X4)) = converse(join(composition(X3,join(converse(X0),composition(X2,converse(X1)))),X4)),
inference(superposition,[status(thm)],[c_359,c_354]) ).
tcf(c_13158,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(converse(X0),composition(X1,converse(X2))),complement(join(X0,composition(X2,converse(X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_359,c_385]) ).
tcf(c_13159,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(converse(X0),composition(X1,converse(X2))),complement(composition(join(X0,composition(X2,converse(X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_359,c_379]) ).
tcf(c_13160,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(X2))),complement(composition(join(converse(X0),composition(X2,converse(X1))),top))) = zero,
inference(superposition,[status(thm)],[c_359,c_7622]) ).
tcf(c_13161,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(X1,converse(X2))),complement(composition(join(X0,composition(X2,converse(X1))),top))) = zero,
inference(superposition,[status(thm)],[c_359,c_7621]) ).
tcf(c_13162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(join(X0,composition(X1,converse(X2))),converse(X3)),converse(X4)) = converse(composition(X4,join(join(converse(X0),composition(X2,converse(X1))),X3))),
inference(superposition,[status(thm)],[c_359,c_271]) ).
tcf(c_13163,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,composition(X1,converse(X2))),converse(complement(join(converse(X0),composition(X2,converse(X1)))))) = top,
inference(superposition,[status(thm)],[c_359,c_2767]) ).
tcf(c_13164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(join(converse(X0),composition(X1,converse(X2))),X3)) = join(converse(X3),join(X0,composition(X2,converse(X1)))),
inference(superposition,[status(thm)],[c_359,c_312]) ).
tcf(c_13165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(join(converse(X0),composition(X1,converse(X2))),X3)) = composition(converse(X3),join(X0,composition(X2,converse(X1)))),
inference(superposition,[status(thm)],[c_359,c_257]) ).
tcf(c_13166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(join(converse(X0),composition(X1,converse(X2))),X3)) = join(join(X0,composition(X2,converse(X1))),converse(X3)),
inference(superposition,[status(thm)],[c_359,c_250]) ).
tcf(c_13169,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(X0),composition(X1,converse(X2)))) = join(X0,composition(X2,converse(X1))),
inference(superposition,[status(thm)],[c_359,c_69]) ).
tcf(c_13170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(join(X1,composition(X2,converse(X3))),converse(X4))) = converse(join(X0,composition(X4,join(converse(X1),composition(X3,converse(X2)))))),
inference(superposition,[status(thm)],[c_359,c_359]) ).
tcf(c_13171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),join(X1,composition(X2,converse(X3)))),converse(X4)) = converse(composition(X4,join(X0,join(converse(X1),composition(X3,converse(X2)))))),
inference(superposition,[status(thm)],[c_359,c_321]) ).
tcf(c_13172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(join(X1,composition(X2,converse(X3))),converse(X4))) = converse(composition(join(join(converse(X1),composition(X3,converse(X2))),X4),X0)),
inference(superposition,[status(thm)],[c_359,c_274]) ).
tcf(c_13173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(converse(X1),composition(X2,converse(X3))))) = join(join(X1,composition(X3,converse(X2))),converse(X0)),
inference(superposition,[status(thm)],[c_359,c_264]) ).
tcf(c_13174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),composition(X2,converse(X3))),complement(composition(join(X1,composition(X3,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_90]) ).
tcf(c_13175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(composition(X0,join(converse(X1),composition(X2,converse(X3))))) = composition(join(X1,composition(X3,converse(X2))),converse(X0)),
inference(superposition,[status(thm)],[c_359,c_256]) ).
tcf(c_13176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(converse(X1),composition(X2,converse(X3))))) = join(converse(X0),join(X1,composition(X3,converse(X2)))),
inference(superposition,[status(thm)],[c_359,c_251]) ).
tcf(c_13178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(X1),composition(X2,converse(X3)))) = converse(join(X0,join(X1,composition(X3,converse(X2))))),
inference(superposition,[status(thm)],[c_359,c_70]) ).
tcf(c_13179,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(X0)),composition(X1,converse(X2))) = join(converse(composition(X2,converse(X1))),X0),
inference(superposition,[status(thm)],[c_359,c_312]) ).
tcf(c_13180,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(X0)),composition(X1,converse(X2))) = join(X0,converse(composition(X2,converse(X1)))),
inference(superposition,[status(thm)],[c_359,c_250]) ).
tcf(c_13181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),join(X2,composition(X3,converse(X4))))) = converse(composition(join(X1,join(converse(X2),composition(X4,converse(X3)))),X0)),
inference(superposition,[status(thm)],[c_359,c_325]) ).
tcf(c_13182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,converse(X1))),composition(X2,converse(X3))) = join(composition(X1,converse(X0)),converse(composition(X3,converse(X2)))),
inference(superposition,[status(thm)],[c_359,c_354]) ).
tcf(c_13185,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,zero)) = converse(X0),
inference(light_normalisation,[status(thm)],[c_13128,c_3047,c_3363]) ).
tcf(c_13186,plain,
! [X0: $i] : converse(join(X0,converse(iPr_def_12))) = join(converse(X0),iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13135,c_2759,c_9664]) ).
tcf(c_13187,plain,
! [X0: $i] : converse(join(X0,converse(iPr_def_10))) = join(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_13134,c_2759,c_9663]) ).
tcf(c_13190,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,one)) = join(X1,converse(X0)),
inference(light_normalisation,[status(thm)],[c_13127,c_264,c_1109]) ).
tcf(c_13191,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_11,converse(iPr_def_10))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_13133,c_4326]) ).
tcf(c_13192,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_10,converse(iPr_def_11))) = converse(join(X0,composition(iPr_def_11,converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_13131,c_4348]) ).
tcf(c_13193,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(composition(X1,converse(X2)))) = join(X0,composition(X2,converse(X1))),
inference(light_normalisation,[status(thm)],[c_13180,c_69]) ).
tcf(c_13194,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,converse(X1))),X2) = join(X2,composition(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_13179,c_69]) ).
tcf(c_13195,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),X2) = join(X2,composition(X0,converse(X1))),
inference(light_normalisation,[status(thm)],[c_13194,c_256]) ).
tcf(c_13196,plain,
! [X0: $i,X1: $i] : converse(composition(join(one,X0),converse(X1))) = join(X1,composition(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_13124,c_69]) ).
tcf(c_13197,plain,
! [X0: $i,X1: $i] : converse(composition(join(X0,one),converse(X1))) = join(X1,composition(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_13123,c_69]) ).
tcf(c_13199,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(converse(complement(composition(converse(X1),top)))))) = converse(X0),
inference(light_normalisation,[status(thm)],[c_13136,c_3047]) ).
tcf(c_13200,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,converse(X2)),converse(complement(join(converse(X0),composition(X2,converse(X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_13163,c_64,c_63]) ).
tcf(c_13201,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X0,converse(X2))) = converse(composition(join(X1,X2),converse(X0))),
inference(light_normalisation,[status(thm)],[c_13119,c_256]) ).
tcf(c_13202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(converse(X1),composition(X2,converse(X3))))) = join(X1,join(composition(X3,converse(X2)),converse(X0))),
inference(theory_normalisation,[status(thm)],[c_13173,c_64,c_63]) ).
tcf(c_13204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(converse(X0),join(composition(X1,converse(X2)),X3))) = join(X0,join(composition(X2,converse(X1)),converse(X3))),
inference(theory_normalisation,[status(thm)],[c_13166,c_64,c_63]) ).
tcf(c_13205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(converse(X0),join(composition(X1,converse(X2)),X3))) = join(converse(X3),join(X0,composition(X2,converse(X1)))),
inference(theory_normalisation,[status(thm)],[c_13164,c_64,c_63]) ).
tcf(c_13206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(composition(X2,converse(X3)))) = join(composition(X0,converse(X1)),composition(X3,converse(X2))),
inference(light_normalisation,[status(thm)],[c_13182,c_256]) ).
tcf(c_13207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(X1,join(composition(X2,converse(X3)),converse(X4)))) = converse(composition(join(converse(X1),join(composition(X3,converse(X2)),X4)),X0)),
inference(theory_normalisation,[status(thm)],[c_13172,c_64,c_63]) ).
tcf(c_13208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(X0,join(composition(X1,converse(X2)),converse(X3))),converse(X4)) = converse(composition(X4,join(converse(X0),join(composition(X2,converse(X1)),X3)))),
inference(theory_normalisation,[status(thm)],[c_13162,c_64,c_63]) ).
tcf(c_13312,plain,
! [X0: $i] : composition(join(one,X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_8964,c_10786,c_10811]) ).
tcf(c_13317,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(one,X1)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_209,c_8966]) ).
tcf(c_13325,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(X0,one),one),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_1201,c_8966]) ).
tcf(c_13326,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(one,X0),one),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_1194,c_8966]) ).
tcf(c_13327,plain,
join(iPr_def_10,composition(top,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_2766,c_8966]) ).
tcf(c_13334,plain,
join(iPr_def_10,composition(one,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_4192,c_8966]) ).
tcf(c_13337,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(one,X0),iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_8966,c_433]) ).
tcf(c_13338,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(one,X0),iPr_def_11),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_8966,c_64]) ).
tcf(c_13339,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(one,X1),iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_8966,c_209]) ).
tcf(c_13342,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),composition(join(one,X0),iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_13337,c_64,c_63]) ).
tcf(c_13343,plain,
! [X0: $i] : join(iPr_def_10,join(zero,composition(join(one,X0),iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_13342,c_121]) ).
tcf(c_13351,plain,
join(iPr_def_10,join(composition(top,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_13327,c_433]) ).
tcf(c_13352,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_13327,c_64]) ).
tcf(c_13353,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_13327,c_209]) ).
tcf(c_13356,plain,
join(iPr_def_10,join(complement(top),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_13351,c_64,c_63]) ).
tcf(c_13358,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_13353,c_2628]) ).
tcf(c_13359,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_13352,c_2640]) ).
tcf(c_13363,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_380]) ).
tcf(c_13364,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_121,c_380]) ).
tcf(c_13367,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_380]) ).
tcf(c_13368,plain,
! [X0: $i] : join(top,composition(X0,complement(composition(converse(X0),zero)))) = top,
inference(superposition,[status(thm)],[c_3052,c_380]) ).
tcf(c_13369,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(X2,complement(composition(converse(composition(X1,X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_380]) ).
tcf(c_13370,plain,
! [X0: $i] : join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_380]) ).
tcf(c_13374,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_71,c_380]) ).
tcf(c_13375,plain,
! [X0: $i] : join(complement(complement(composition(X0,top))),composition(X0,complement(zero))) = complement(complement(composition(X0,top))),
inference(superposition,[status(thm)],[c_7621,c_380]) ).
tcf(c_13376,plain,
join(complement(complement(iPr_def_12)),composition(iPr_def_11,complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_2963,c_380]) ).
tcf(c_13377,plain,
join(complement(iPr_def_11),composition(sk1,complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2964,c_380]) ).
tcf(c_13378,plain,
! [X0: $i] : join(complement(zero),composition(X0,complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_380]) ).
tcf(c_13379,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(sk1,complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_10832,c_380]) ).
tcf(c_13380,plain,
join(complement(sk1),composition(iPr_def_11,complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_3696,c_380]) ).
tcf(c_13381,plain,
join(complement(iPr_def_11),composition(complement(iPr_def_12),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_3657,c_380]) ).
tcf(c_13382,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(iPr_def_11,complement(zero))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_10831,c_380]) ).
tcf(c_13383,plain,
join(complement(iPr_def_12),composition(sk1,complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9602,c_380]) ).
tcf(c_13384,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(sk1,complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12375,c_380]) ).
tcf(c_13385,plain,
! [X0: $i] : join(complement(sk1),composition(composition(iPr_def_11,X0),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_12385,c_380]) ).
tcf(c_13386,plain,
join(complement(sk1),composition(iPr_def_12,complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_9595,c_380]) ).
tcf(c_13387,plain,
join(complement(iPr_def_10),composition(iPr_def_11,complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_9601,c_380]) ).
tcf(c_13388,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(iPr_def_11,complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12332,c_380]) ).
tcf(c_13389,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(composition(sk1,X0),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12343,c_380]) ).
tcf(c_13390,plain,
join(complement(iPr_def_11),composition(iPr_def_10,complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_9596,c_380]) ).
tcf(c_13391,plain,
! [X0: $i] : join(complement(composition(sk1,X0)),composition(iPr_def_12,complement(zero))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_12573,c_380]) ).
tcf(c_13392,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(iPr_def_10,complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_12864,c_380]) ).
tcf(c_13393,plain,
! [X0: $i] : join(complement(complement(composition(converse(converse(X0)),top))),composition(X0,complement(zero))) = complement(complement(composition(converse(converse(X0)),top))),
inference(superposition,[status(thm)],[c_7622,c_380]) ).
tcf(c_13394,plain,
! [X0: $i] : join(complement(X0),composition(complement(composition(X0,top)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_380]) ).
tcf(c_13395,plain,
join(complement(complement(iPr_def_12)),composition(iPr_def_12,complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_9806,c_380]) ).
tcf(c_13396,plain,
join(complement(iPr_def_12),composition(complement(iPr_def_12),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9805,c_380]) ).
tcf(c_13397,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(composition(iPr_def_10,X0),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12412,c_380]) ).
tcf(c_13398,plain,
! [X0: $i] : join(complement(sk1),composition(composition(iPr_def_12,X0),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_12487,c_380]) ).
tcf(c_13399,plain,
join(complement(iPr_def_10),composition(iPr_def_12,complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12574,c_380]) ).
tcf(c_13400,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(iPr_def_12,complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12576,c_380]) ).
tcf(c_13401,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(sk1,X0),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12587,c_380]) ).
tcf(c_13402,plain,
join(complement(iPr_def_12),composition(iPr_def_10,complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12608,c_380]) ).
tcf(c_13403,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(iPr_def_10,complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12641,c_380]) ).
tcf(c_13404,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(iPr_def_10,X0),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12794,c_380]) ).
tcf(c_13405,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(composition(iPr_def_12,X0),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12852,c_380]) ).
tcf(c_13406,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(composition(iPr_def_11,X0),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12878,c_380]) ).
tcf(c_13415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(X1,join(converse(X2),X3)),complement(composition(composition(join(X2,converse(X3)),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_380]) ).
tcf(c_13416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(converse(X1),X2),X3),complement(composition(composition(converse(X3),join(X1,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_380]) ).
tcf(c_13417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(X1,join(X2,converse(X3))),complement(composition(composition(join(converse(X2),X3),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_380]) ).
tcf(c_13418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(X1,converse(X2)),X3),complement(composition(composition(converse(X3),join(converse(X1),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_380]) ).
tcf(c_13419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(composition(X1,converse(X2)),X3),complement(composition(join(composition(X2,converse(X1)),converse(X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_380]) ).
tcf(c_13420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,composition(X2,converse(X3))),complement(composition(join(converse(X1),composition(X3,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_380]) ).
tcf(c_13423,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(one,X1),complement(composition(join(one,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_380]) ).
tcf(c_13424,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,one),complement(composition(join(one,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_380]) ).
tcf(c_13425,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(top,X1),complement(composition(composition(converse(X1),top),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_380]) ).
tcf(c_13426,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(X1,top),complement(composition(composition(top,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_380]) ).
tcf(c_13428,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_380,c_433]) ).
tcf(c_13429,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_380,c_64]) ).
tcf(c_13433,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(X2,complement(composition(converse(X2),X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_380,c_209]) ).
tcf(c_13439,plain,
join(complement(iPr_def_12),iPr_def_10) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13402,c_3052,c_9663]) ).
tcf(c_13440,plain,
join(iPr_def_10,complement(iPr_def_12)) = complement(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_13439,c_64,c_63]) ).
tcf(c_13444,plain,
join(complement(sk1),iPr_def_12) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_13386,c_3052,c_9664]) ).
tcf(c_13445,plain,
join(iPr_def_12,complement(sk1)) = complement(sk1),
inference(theory_normalisation,[status(thm)],[c_13444,c_64,c_63]) ).
tcf(c_13452,plain,
join(complement(iPr_def_12),composition(complement(iPr_def_12),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13396,c_3052]) ).
tcf(c_13453,plain,
join(iPr_def_10,composition(complement(iPr_def_12),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13381,c_2962,c_3052]) ).
tcf(c_13456,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_11,X0),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13406,c_3052,c_3111]) ).
tcf(c_13457,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_12,X0),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13405,c_3052,c_3111]) ).
tcf(c_13458,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(iPr_def_10,X0),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13404,c_3052]) ).
tcf(c_13459,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(sk1,X0),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13401,c_3052]) ).
tcf(c_13460,plain,
! [X0: $i] : join(complement(sk1),composition(composition(iPr_def_12,X0),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_13398,c_3052]) ).
tcf(c_13461,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(iPr_def_10,X0),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13397,c_2962,c_3052]) ).
tcf(c_13462,plain,
join(complement(complement(iPr_def_12)),iPr_def_12) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_13395,c_3052,c_9664]) ).
tcf(c_13463,plain,
join(iPr_def_12,complement(complement(iPr_def_12))) = complement(complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_13462,c_64,c_63]) ).
tcf(c_13464,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(sk1,X0),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13389,c_2962,c_3052]) ).
tcf(c_13465,plain,
! [X0: $i] : join(complement(sk1),composition(composition(iPr_def_11,X0),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_13385,c_3052]) ).
tcf(c_13468,plain,
! [X0: $i] : join(complement(X0),composition(complement(composition(X0,top)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13394,c_3052]) ).
tcf(c_13469,plain,
! [X0: $i] : join(composition(iPr_def_10,complement(zero)),complement(composition(iPr_def_12,X0))) = complement(composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_13403,c_64,c_63]) ).
tcf(c_13470,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(iPr_def_12,X0))) = complement(composition(iPr_def_12,X0)),
inference(light_normalisation,[status(thm)],[c_13469,c_3052,c_9663]) ).
tcf(c_13471,plain,
! [X0: $i] : join(composition(iPr_def_12,complement(zero)),complement(composition(iPr_def_10,X0))) = complement(composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_13400,c_64,c_63]) ).
tcf(c_13472,plain,
! [X0: $i] : join(iPr_def_12,complement(composition(iPr_def_10,X0))) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_13471,c_3052,c_9664]) ).
tcf(c_13473,plain,
! [X0: $i] : join(composition(iPr_def_10,complement(zero)),complement(composition(iPr_def_11,X0))) = complement(composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_13392,c_64,c_63]) ).
tcf(c_13474,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(iPr_def_11,X0))) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_13473,c_3052,c_9663]) ).
tcf(c_13475,plain,
! [X0: $i] : join(composition(iPr_def_12,complement(zero)),complement(composition(sk1,X0))) = complement(composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_13391,c_64,c_63]) ).
tcf(c_13476,plain,
! [X0: $i] : join(iPr_def_12,complement(composition(sk1,X0))) = complement(composition(sk1,X0)),
inference(light_normalisation,[status(thm)],[c_13475,c_3052,c_9664]) ).
tcf(c_13477,plain,
! [X0: $i] : join(composition(iPr_def_11,complement(zero)),complement(composition(iPr_def_10,X0))) = complement(composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_13388,c_64,c_63]) ).
tcf(c_13479,plain,
! [X0: $i] : join(composition(sk1,complement(zero)),complement(composition(iPr_def_12,X0))) = complement(composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_13384,c_64,c_63]) ).
tcf(c_13481,plain,
! [X0: $i] : join(composition(iPr_def_11,complement(zero)),complement(composition(sk1,X0))) = complement(composition(sk1,X0)),
inference(theory_normalisation,[status(thm)],[c_13382,c_64,c_63]) ).
tcf(c_13483,plain,
! [X0: $i] : join(composition(sk1,complement(zero)),complement(composition(iPr_def_11,X0))) = complement(composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_13379,c_64,c_63]) ).
tcf(c_13485,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(complement(X0)),composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_13428,c_64,c_63]) ).
tcf(c_13486,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(light_normalisation,[status(thm)],[c_13485,c_2961]) ).
tcf(c_13487,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_13486,c_64,c_63]) ).
tcf(c_13489,plain,
! [X0: $i] : join(composition(X0,complement(zero)),complement(complement(composition(X0,top)))) = complement(complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_13375,c_64,c_63]) ).
tcf(c_13491,plain,
! [X0: $i] : join(composition(X0,complement(zero)),complement(complement(composition(converse(converse(X0)),top)))) = complement(complement(composition(converse(converse(X0)),top))),
inference(theory_normalisation,[status(thm)],[c_13393,c_64,c_63]) ).
tcf(c_13609,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_2838,c_2961]) ).
tcf(c_13611,plain,
join(iPr_def_10,join(complement(iPr_def_12),complement(complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13440,c_433]) ).
tcf(c_13612,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_13440,c_64]) ).
tcf(c_13613,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_12))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13440,c_209]) ).
tcf(c_13615,plain,
join(iPr_def_12,complement(complement(iPr_def_12))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13440,c_4555]) ).
tcf(c_13616,plain,
join(iPr_def_12,complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13440,c_2636]) ).
tcf(c_13617,plain,
join(iPr_def_11,complement(complement(iPr_def_12))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13440,c_5033]) ).
tcf(c_13618,plain,
! [X0: $i] : join(iPr_def_12,join(X0,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13440,c_3731]) ).
tcf(c_13635,plain,
join(iPr_def_12,join(complement(sk1),complement(complement(sk1)))) = top,
inference(superposition,[status(thm)],[c_13445,c_433]) ).
tcf(c_13636,plain,
! [X0: $i] : join(iPr_def_12,join(complement(sk1),X0)) = join(complement(sk1),X0),
inference(superposition,[status(thm)],[c_13445,c_64]) ).
tcf(c_13637,plain,
! [X0: $i] : join(iPr_def_12,join(X0,complement(sk1))) = join(X0,complement(sk1)),
inference(superposition,[status(thm)],[c_13445,c_209]) ).
tcf(c_13639,plain,
join(sk1,complement(complement(sk1))) = sk1,
inference(superposition,[status(thm)],[c_13445,c_4555]) ).
tcf(c_13640,plain,
join(sk1,complement(sk1)) = top,
inference(superposition,[status(thm)],[c_13445,c_2636]) ).
tcf(c_13641,plain,
join(iPr_def_10,complement(sk1)) = top,
inference(superposition,[status(thm)],[c_13445,c_9850]) ).
tcf(c_13642,plain,
! [X0: $i] : join(sk1,join(X0,complement(sk1))) = top,
inference(superposition,[status(thm)],[c_13445,c_3731]) ).
tcf(c_13646,plain,
join(iPr_def_10,join(complement(sk1),complement(top))) = top,
inference(superposition,[status(thm)],[c_13641,c_433]) ).
tcf(c_13647,plain,
! [X0: $i] : join(iPr_def_10,join(complement(sk1),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_13641,c_64]) ).
tcf(c_13648,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(sk1))) = join(X0,top),
inference(superposition,[status(thm)],[c_13641,c_209]) ).
tcf(c_13650,plain,
join(sk1,complement(top)) = sk1,
inference(superposition,[status(thm)],[c_13641,c_4555]) ).
tcf(c_13651,plain,
join(sk1,top) = top,
inference(superposition,[status(thm)],[c_13641,c_2636]) ).
tcf(c_13653,plain,
! [X0: $i] : join(sk1,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_13641,c_3731]) ).
tcf(c_13654,plain,
join(top,sk1) = top,
inference(theory_normalisation,[status(thm)],[c_13651,c_64,c_63]) ).
tcf(c_13655,plain,
join(sk1,zero) = sk1,
inference(light_normalisation,[status(thm)],[c_13650,c_121]) ).
tcf(c_13656,plain,
! [X0: $i] : join(top,join(sk1,X0)) = top,
inference(theory_normalisation,[status(thm)],[c_13653,c_64,c_63]) ).
tcf(c_13657,plain,
join(iPr_def_10,join(complement(top),complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_13646,c_64,c_63]) ).
tcf(c_13659,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(sk1))) = top,
inference(light_normalisation,[status(thm)],[c_13648,c_2628]) ).
tcf(c_13660,plain,
! [X0: $i] : join(iPr_def_10,join(complement(sk1),X0)) = top,
inference(light_normalisation,[status(thm)],[c_13647,c_2640]) ).
tcf(c_13680,plain,
composition(complement(iPr_def_12),top) = iPr_def_10,
inference(demodulation,[status(thm)],[c_13453,c_9760,c_13440]) ).
tcf(c_13681,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),X0),top) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_13680,c_68]) ).
tcf(c_13682,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_13680,c_66]) ).
tcf(c_13683,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_13680,c_68]) ).
tcf(c_13685,plain,
composition(join(one,complement(iPr_def_12)),top) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_13680,c_1194]) ).
tcf(c_13686,plain,
join(complement(top),composition(converse(complement(iPr_def_12)),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_13680,c_90]) ).
tcf(c_13688,plain,
composition(join(iPr_def_11,complement(iPr_def_12)),top) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_13680,c_495]) ).
tcf(c_13689,plain,
composition(converse(complement(iPr_def_10)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_13680,c_7654]) ).
tcf(c_13690,plain,
composition(converse(complement(iPr_def_12)),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13680,c_7621]) ).
tcf(c_13691,plain,
composition(top,converse(complement(iPr_def_12))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13680,c_2776]) ).
tcf(c_13694,plain,
composition(join(iPr_def_11,complement(iPr_def_12)),top) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_13688,c_64,c_63]) ).
tcf(c_13698,plain,
composition(join(one,complement(iPr_def_12)),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_13685,c_64,c_63]) ).
tcf(c_13701,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_13683,c_64,c_63]) ).
tcf(c_13702,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),top) = composition(join(iPr_def_10,X0),top),
inference(light_normalisation,[status(thm)],[c_13701,c_9760]) ).
tcf(c_13703,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),X0),top) = composition(join(iPr_def_10,X0),top),
inference(light_normalisation,[status(thm)],[c_13681,c_9760]) ).
tcf(c_13712,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(sk1)))) = top,
inference(superposition,[status(thm)],[c_64,c_13659]) ).
tcf(c_13721,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,complement(sk1)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_13659,c_64]) ).
tcf(c_13724,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(sk1)))) = join(X0,top),
inference(superposition,[status(thm)],[c_13659,c_209]) ).
tcf(c_13725,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(sk1))) = top,
inference(superposition,[status(thm)],[c_13659,c_209]) ).
tcf(c_13734,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(sk1),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_13721,c_64,c_63]) ).
tcf(c_13743,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(sk1),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_13660]) ).
tcf(c_13752,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_1201,c_13660]) ).
tcf(c_13753,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_1194,c_13660]) ).
tcf(c_13759,plain,
! [X0: $i] : join(iPr_def_10,join(join(complement(sk1),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_13660,c_433]) ).
tcf(c_13760,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(complement(sk1),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_13660,c_64]) ).
tcf(c_13761,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(sk1),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_13660,c_209]) ).
tcf(c_13774,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),join(X0,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_13759,c_64,c_63]) ).
tcf(c_13775,plain,
! [X0: $i] : join(iPr_def_10,join(zero,join(X0,complement(sk1)))) = top,
inference(light_normalisation,[status(thm)],[c_13774,c_121]) ).
tcf(c_13777,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(sk1),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_13760,c_64,c_63]) ).
tcf(c_13783,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(complement(iPr_def_12)))) = composition(join(top,X0),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13691,c_68]) ).
tcf(c_13784,plain,
! [X0: $i] : composition(top,composition(converse(complement(iPr_def_12)),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_13691,c_66]) ).
tcf(c_13785,plain,
! [X0: $i] : join(composition(X0,converse(complement(iPr_def_12))),converse(iPr_def_10)) = composition(join(X0,top),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13691,c_68]) ).
tcf(c_13787,plain,
composition(join(one,top),converse(complement(iPr_def_12))) = join(converse(complement(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_1194]) ).
tcf(c_13788,plain,
join(complement(converse(complement(iPr_def_12))),composition(converse(top),complement(converse(iPr_def_10)))) = complement(converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13691,c_90]) ).
tcf(c_13789,plain,
composition(complement(iPr_def_12),converse(top)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_256]) ).
tcf(c_13790,plain,
! [X0: $i] : join(composition(complement(iPr_def_12),converse(top)),converse(X0)) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_13691,c_354]) ).
tcf(c_13791,plain,
! [X0: $i] : join(converse(X0),composition(complement(iPr_def_12),converse(top))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_13691,c_359]) ).
tcf(c_13792,plain,
composition(iPr_def_12,converse(complement(iPr_def_12))) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_9798]) ).
tcf(c_13795,plain,
composition(converse(converse(complement(iPr_def_12))),top) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_2778]) ).
tcf(c_13796,plain,
composition(iPr_def_12,converse(complement(iPr_def_12))) = composition(iPr_def_11,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_470]) ).
tcf(c_13797,plain,
composition(iPr_def_10,converse(complement(iPr_def_12))) = composition(sk1,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13691,c_467]) ).
tcf(c_13799,plain,
composition(iPr_def_10,converse(complement(iPr_def_12))) = composition(iPr_def_10,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_13797,c_10671]) ).
tcf(c_13803,plain,
composition(join(top,one),converse(complement(iPr_def_12))) = join(converse(iPr_def_10),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_13787,c_64,c_63]) ).
tcf(c_13805,plain,
join(complement(converse(complement(iPr_def_12))),composition(top,complement(converse(iPr_def_10)))) = complement(converse(complement(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_13788,c_2759]) ).
tcf(c_13806,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(complement(iPr_def_12)))) = composition(join(X0,top),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_13785,c_64,c_63]) ).
tcf(c_13807,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(complement(iPr_def_12)))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_13806,c_2628,c_13691]) ).
tcf(c_13835,plain,
! [X0: $i] : composition(join(X0,one),zero) = zero,
inference(light_normalisation,[status(thm)],[c_9283,c_10786,c_10810]) ).
tcf(c_13838,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,one)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_64,c_9285]) ).
tcf(c_13843,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(X0,one),iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_9285,c_433]) ).
tcf(c_13844,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(X0,one),iPr_def_11),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_9285,c_64]) ).
tcf(c_13845,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,one),iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_9285,c_209]) ).
tcf(c_13848,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),composition(join(X0,one),iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_13843,c_64,c_63]) ).
tcf(c_13849,plain,
! [X0: $i] : join(iPr_def_10,join(zero,composition(join(X0,one),iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_13848,c_121]) ).
tcf(c_13854,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_381]) ).
tcf(c_13855,plain,
! [X0: $i,X1: $i] : join(zero,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),top)))) = zero,
inference(superposition,[status(thm)],[c_121,c_381]) ).
tcf(c_13858,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_381]) ).
tcf(c_13859,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),zero)))) = top,
inference(superposition,[status(thm)],[c_3052,c_381]) ).
tcf(c_13862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(X2,converse(X3))),complement(composition(join(converse(join(X1,X2)),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_64,c_381]) ).
tcf(c_13863,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(X1,X2)),complement(composition(join(converse(converse(X1)),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_70,c_381]) ).
tcf(c_13864,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(converse(zero),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2951,c_381]) ).
tcf(c_13865,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(converse(X1),complement(converse(X1))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2767,c_381]) ).
tcf(c_13866,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(converse(converse(X1)),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3114,c_381]) ).
tcf(c_13867,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(converse(top),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2640,c_381]) ).
tcf(c_13868,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(join(converse(one),complement(one)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2766,c_381]) ).
tcf(c_13870,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(converse(one),join(X1,complement(one))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3775,c_381]) ).
tcf(c_13871,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,X2),complement(composition(join(converse(X1),converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_381]) ).
tcf(c_13872,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,top),complement(composition(join(converse(X1),top),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_381]) ).
tcf(c_13873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),X3)),complement(composition(join(converse(X1),join(converse(X3),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_381]) ).
tcf(c_13874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(X2,converse(X3))),complement(composition(join(converse(X1),join(converse(X2),X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_381]) ).
tcf(c_13875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(X2,converse(X3))),complement(composition(join(converse(X1),join(X3,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_381]) ).
tcf(c_13876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),X3)),complement(composition(join(converse(X1),join(X2,converse(X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_381]) ).
tcf(c_13878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,composition(converse(X2),X3)),complement(composition(join(converse(X1),composition(converse(X3),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_381]) ).
tcf(c_13879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,composition(join(X2,converse(X3)),converse(X4))),complement(composition(join(converse(X1),composition(X4,join(converse(X2),X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_381]) ).
tcf(c_13880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,composition(converse(X2),join(X3,converse(X4)))),complement(composition(join(converse(X1),composition(join(converse(X3),X4),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_381]) ).
tcf(c_13881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,composition(join(converse(X2),X3),converse(X4))),complement(composition(join(converse(X1),composition(X4,join(X2,converse(X3)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_381]) ).
tcf(c_13882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,composition(converse(X2),join(converse(X3),X4))),complement(composition(join(converse(X1),composition(join(X3,converse(X4)),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_381]) ).
tcf(c_13884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,join(converse(X2),composition(X3,converse(X4)))),complement(composition(join(converse(X1),join(X2,composition(X4,converse(X3)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_381]) ).
tcf(c_13885,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,zero),complement(composition(join(converse(X1),zero),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_381]) ).
tcf(c_13888,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,join(one,converse(X2))),complement(composition(join(converse(X1),join(X2,one)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_381]) ).
tcf(c_13889,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,composition(converse(X2),top)),complement(composition(join(converse(X1),composition(top,X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_381]) ).
tcf(c_13890,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,composition(top,converse(X2))),complement(composition(join(converse(X1),composition(X2,top)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_381]) ).
tcf(c_13892,plain,
! [X0: $i,X1: $i] : join(complement(zero),composition(join(X0,converse(X1)),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_381]) ).
tcf(c_13893,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(converse(join(converse(X0),X1)),top))),composition(join(X0,converse(X1)),complement(zero))) = complement(complement(composition(converse(join(converse(X0),X1)),top))),
inference(superposition,[status(thm)],[c_7622,c_381]) ).
tcf(c_13894,plain,
! [X0: $i] : join(complement(top),composition(join(X0,converse(one)),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9297,c_381]) ).
tcf(c_13895,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(join(X0,converse(join(X1,one))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_10478,c_381]) ).
tcf(c_13899,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(converse(X2))),complement(composition(converse(join(X1,X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_70,c_381]) ).
tcf(c_13900,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(complement(converse(X1)))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_73,c_381]) ).
tcf(c_13901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(join(X2,X3))),complement(composition(join(X2,join(converse(X1),X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_209,c_381]) ).
tcf(c_13902,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(converse(complement(converse(converse(X1)))))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2767,c_381]) ).
tcf(c_13903,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(converse(X1))),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3114,c_381]) ).
tcf(c_13904,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(join(X2,complement(join(converse(X1),X2))))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_433,c_381]) ).
tcf(c_13905,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(join(complement(converse(X1)),X2))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2645,c_381]) ).
tcf(c_13906,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(top)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2628,c_381]) ).
tcf(c_13907,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(zero)),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3047,c_381]) ).
tcf(c_13908,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(join(X2,complement(converse(X1))))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2636,c_381]) ).
tcf(c_13909,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(composition(X2,converse(X1)))),complement(composition(composition(join(X2,one),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1201,c_381]) ).
tcf(c_13910,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(composition(X2,converse(X1)))),complement(composition(composition(join(one,X2),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1194,c_381]) ).
tcf(c_13911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(join(X2,join(X3,complement(converse(X1)))))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3731,c_381]) ).
tcf(c_13912,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(join(converse(X1),X2))),complement(composition(join(converse(X1),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3159,c_381]) ).
tcf(c_13913,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(complement(join(complement(converse(X1)),X2)))),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4192,c_381]) ).
tcf(c_13914,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(complement(join(X2,complement(converse(X1)))))),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4555,c_381]) ).
tcf(c_13915,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),converse(X2)),complement(composition(join(X1,X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_381]) ).
tcf(c_13916,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(top,converse(X1)),complement(composition(join(top,X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_381]) ).
tcf(c_13917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(converse(X1),X2),converse(X3)),complement(composition(join(join(converse(X2),X1),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_381]) ).
tcf(c_13918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(converse(X1),X2),converse(X3)),complement(composition(join(join(X1,converse(X2)),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_381]) ).
tcf(c_13919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(X1,converse(X2)),converse(X3)),complement(composition(join(join(X2,converse(X1)),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_381]) ).
tcf(c_13920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(X1,converse(X2)),converse(X3)),complement(composition(join(join(converse(X1),X2),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_381]) ).
tcf(c_13922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(composition(converse(X1),X2),converse(X3)),complement(composition(join(composition(converse(X2),X1),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_381]) ).
tcf(c_13923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(X1,join(converse(X2),X3)),converse(X4)),complement(composition(join(composition(join(X2,converse(X3)),converse(X1)),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_381]) ).
tcf(c_13924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(join(converse(X1),X2),X3),converse(X4)),complement(composition(join(composition(converse(X3),join(X1,converse(X2))),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_381]) ).
tcf(c_13925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(X1,join(X2,converse(X3))),converse(X4)),complement(composition(join(composition(join(converse(X2),X3),converse(X1)),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_381]) ).
tcf(c_13926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(join(X1,converse(X2)),X3),converse(X4)),complement(composition(join(composition(converse(X3),join(converse(X1),X2)),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_381]) ).
tcf(c_13927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(join(composition(X1,converse(X2)),X3),converse(X4)),complement(composition(join(join(composition(X2,converse(X1)),converse(X3)),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_381]) ).
tcf(c_13928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(join(X1,composition(X2,converse(X3))),converse(X4)),complement(composition(join(join(converse(X1),composition(X3,converse(X2))),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_381]) ).
tcf(c_13929,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(zero,converse(X1)),complement(composition(join(zero,X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_381]) ).
tcf(c_13931,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(one,X1),converse(X2)),complement(composition(join(join(one,converse(X1)),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_381]) ).
tcf(c_13932,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(X1,one),converse(X2)),complement(composition(join(join(one,converse(X1)),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_381]) ).
tcf(c_13933,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(composition(top,X1),converse(X2)),complement(composition(join(composition(converse(X1),top),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_381]) ).
tcf(c_13934,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(composition(X1,top),converse(X2)),complement(composition(join(composition(top,converse(X1)),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_381]) ).
tcf(c_13936,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_381,c_433]) ).
tcf(c_13937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_381,c_64]) ).
tcf(c_13941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,composition(join(X2,converse(X3)),complement(composition(join(converse(X2),X3),X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_381,c_209]) ).
tcf(c_13945,plain,
join(zero,join(zero,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_13894,c_121,c_1109,c_10810]) ).
tcf(c_13946,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_13892,c_3052]) ).
tcf(c_13947,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,top),complement(composition(top,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13906,c_2759]) ).
tcf(c_13948,plain,
! [X0: $i,X1: $i] : join(zero,composition(join(X0,converse(join(X1,one))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_13895,c_121]) ).
tcf(c_13949,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(top,X1),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13867,c_2759]) ).
tcf(c_13950,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,zero),complement(composition(converse(X1),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13907,c_3363]) ).
tcf(c_13951,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),converse(one)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13868,c_64,c_63]) ).
tcf(c_13952,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),one),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13951,c_1109]) ).
tcf(c_13953,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(join(one,complement(one)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13952,c_64,c_63]) ).
tcf(c_13954,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(zero,X1),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13864,c_3363]) ).
tcf(c_13957,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,zero),complement(composition(join(zero,converse(X1)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13885,c_64,c_63]) ).
tcf(c_13958,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,top),complement(composition(join(top,converse(X1)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13872,c_64,c_63]) ).
tcf(c_13959,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,converse(converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13866,c_64,c_63]) ).
tcf(c_13960,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),join(X1,converse(one))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13870,c_64,c_63]) ).
tcf(c_13961,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),join(X1,one)),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_13960,c_1109]) ).
tcf(c_13962,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(one,join(X1,complement(one))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13961,c_64,c_63]) ).
tcf(c_13966,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_13936,c_64,c_63]) ).
tcf(c_13967,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))))) = top,
inference(light_normalisation,[status(thm)],[c_13966,c_2961]) ).
tcf(c_13968,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_13967,c_64,c_63]) ).
tcf(c_13970,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,join(one,converse(X2))),complement(composition(join(one,join(converse(X1),X2)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13932,c_64,c_63]) ).
tcf(c_13971,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,join(X1,converse(X2))),complement(composition(join(one,join(converse(X1),X2)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13931,c_64,c_63]) ).
tcf(c_13972,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,join(one,converse(X2))),complement(composition(join(one,join(X2,converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13888,c_64,c_63]) ).
tcf(c_13974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),converse(X3))),complement(composition(join(converse(X1),join(X2,X3)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13920,c_64,c_63]) ).
tcf(c_13975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),converse(X3))),complement(composition(join(X2,join(converse(X1),X3)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13919,c_64,c_63]) ).
tcf(c_13976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(X2,converse(X3))),complement(composition(join(X1,join(converse(X2),X3)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13918,c_64,c_63]) ).
tcf(c_13977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(X2,converse(X3))),complement(composition(join(converse(X2),join(X1,X3)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13917,c_64,c_63]) ).
tcf(c_13978,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(X1)),complement(zero)),complement(complement(composition(converse(join(converse(X0),X1)),top)))) = complement(complement(composition(converse(join(converse(X0),X1)),top))),
inference(theory_normalisation,[status(thm)],[c_13893,c_64,c_63]) ).
tcf(c_13979,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(X1)),top),complement(complement(composition(join(converse(X1),X0),top)))) = complement(complement(composition(join(converse(X1),X0),top))),
inference(light_normalisation,[status(thm)],[c_13978,c_312,c_3052]) ).
tcf(c_13980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,join(composition(X2,converse(X3)),converse(X4))),complement(composition(join(converse(X1),join(composition(X3,converse(X2)),X4)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13928,c_64,c_63]) ).
tcf(c_13981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(X1,converse(X2)),join(X3,converse(X4))),complement(composition(join(composition(X2,converse(X1)),join(converse(X3),X4)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_13927,c_64,c_63]) ).
tcf(c_14246,plain,
composition(complement(iPr_def_12),top) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_13682]) ).
tcf(c_14247,plain,
composition(complement(iPr_def_12),top) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9558,c_13682]) ).
tcf(c_14248,plain,
composition(complement(iPr_def_12),zero) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_10786,c_13682]) ).
tcf(c_14249,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = composition(iPr_def_10,converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_13682]) ).
tcf(c_14251,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = composition(iPr_def_10,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_13682]) ).
tcf(c_14252,plain,
composition(complement(iPr_def_12),converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_13682]) ).
tcf(c_14253,plain,
composition(iPr_def_10,complement(composition(converse(top),top))) = composition(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_7622,c_13682]) ).
tcf(c_14254,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(top,X0)) = composition(iPr_def_10,composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_13682]) ).
tcf(c_14255,plain,
! [X0: $i] : composition(iPr_def_10,join(one,X0)) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_9944,c_13682]) ).
tcf(c_14256,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,one)) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_10497,c_13682]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(X1,one))) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_11240,c_13682]) ).
tcf(c_14258,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = composition(iPr_def_10,converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13691,c_13682]) ).
tcf(c_14259,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(complement(iPr_def_12),X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_13682,c_68]) ).
tcf(c_14260,plain,
! [X0: $i,X1: $i] : composition(complement(iPr_def_12),composition(composition(top,X0),X1)) = composition(composition(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_13682,c_66]) ).
tcf(c_14261,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,X1)),composition(iPr_def_10,X1)) = composition(join(X0,complement(iPr_def_12)),composition(top,X1)),
inference(superposition,[status(thm)],[c_13682,c_68]) ).
tcf(c_14263,plain,
! [X0: $i] : composition(join(one,complement(iPr_def_12)),composition(top,X0)) = join(composition(top,X0),composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_13682,c_1194]) ).
tcf(c_14264,plain,
! [X0: $i] : join(complement(composition(top,X0)),composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_13682,c_90]) ).
tcf(c_14269,plain,
composition(complement(iPr_def_12),converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_14252,c_10656]) ).
tcf(c_14275,plain,
! [X0: $i] : composition(join(one,complement(iPr_def_12)),composition(top,X0)) = join(composition(iPr_def_10,X0),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_14263,c_64,c_63]) ).
tcf(c_14276,plain,
! [X0: $i] : composition(join(one,complement(iPr_def_12)),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_14275,c_9024]) ).
tcf(c_14279,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(top,X0))) = composition(join(X1,complement(iPr_def_12)),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_14261,c_64,c_63]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i] : composition(join(X0,complement(iPr_def_12)),composition(top,X1)) = composition(join(iPr_def_10,X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_14279,c_10658]) ).
tcf(c_14281,plain,
! [X0: $i,X1: $i] : composition(join(complement(iPr_def_12),X0),composition(top,X1)) = composition(join(iPr_def_10,X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_14259,c_10658]) ).
tcf(c_14343,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(sk1))))) = top,
inference(superposition,[status(thm)],[c_64,c_13712]) ).
tcf(c_14352,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,complement(sk1))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_13712,c_64]) ).
tcf(c_14355,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(sk1))))) = join(X0,top),
inference(superposition,[status(thm)],[c_13712,c_209]) ).
tcf(c_14356,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,complement(sk1)))) = top,
inference(superposition,[status(thm)],[c_13712,c_209]) ).
tcf(c_14363,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(complement(sk1),X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_14352,c_64,c_63]) ).
tcf(c_14368,plain,
join(iPr_def_10,composition(top,complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2759,c_3025]) ).
tcf(c_14369,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_312,c_3025]) ).
tcf(c_14371,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_264,c_3025]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_251,c_3025]) ).
tcf(c_14373,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_256,c_3025]) ).
tcf(c_14374,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_257,c_3025]) ).
tcf(c_14375,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(composition(join(X0,converse(X1)),converse(X2)),complement(composition(composition(X2,join(converse(X0),X1)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_271,c_3025]) ).
tcf(c_14376,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(composition(converse(X0),join(X1,converse(X2))),complement(composition(composition(join(converse(X1),X2),X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_274,c_3025]) ).
tcf(c_14377,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(composition(join(converse(X0),X1),converse(X2)),complement(composition(composition(X2,join(X0,converse(X1))),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_321,c_3025]) ).
tcf(c_14378,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(composition(converse(X0),join(converse(X1),X2)),complement(composition(composition(join(X1,converse(X2)),X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_325,c_3025]) ).
tcf(c_14379,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(composition(X0,converse(X1)),converse(X2)),complement(composition(join(composition(X1,converse(X0)),X2),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_354,c_3025]) ).
tcf(c_14380,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(converse(X0),composition(X1,converse(X2))),complement(composition(join(X0,composition(X2,converse(X1))),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_359,c_3025]) ).
tcf(c_14381,plain,
join(iPr_def_10,composition(zero,complement(composition(zero,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3363,c_3025]) ).
tcf(c_14382,plain,
join(iPr_def_10,composition(one,complement(composition(one,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1109,c_3025]) ).
tcf(c_14383,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),complement(composition(join(one,X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1155,c_3025]) ).
tcf(c_14384,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),complement(composition(join(X0,one),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1161,c_3025]) ).
tcf(c_14385,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),complement(composition(composition(top,X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2778,c_3025]) ).
tcf(c_14386,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,converse(X0)),complement(composition(composition(X0,top),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2776,c_3025]) ).
tcf(c_14387,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_66,c_3025]) ).
tcf(c_14388,plain,
join(iPr_def_10,composition(converse(converse(sk1)),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2964,c_3025]) ).
tcf(c_14389,plain,
join(iPr_def_10,composition(converse(one),complement(iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1118,c_3025]) ).
tcf(c_14390,plain,
join(iPr_def_10,composition(converse(zero),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_10822,c_3025]) ).
tcf(c_14391,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3657,c_3025]) ).
tcf(c_14392,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(sk1,X0))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12343,c_3025]) ).
tcf(c_14393,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9596,c_3025]) ).
tcf(c_14394,plain,
join(iPr_def_10,composition(converse(converse(complement(composition(iPr_def_11,top)))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7654,c_3025]) ).
tcf(c_14395,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(iPr_def_10,X0))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12412,c_3025]) ).
tcf(c_14397,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,iPr_def_11))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3025,c_433]) ).
tcf(c_14398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3025,c_64]) ).
tcf(c_14399,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_11))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3025,c_209]) ).
tcf(c_14403,plain,
join(iPr_def_10,composition(one,iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_14389,c_1109,c_2962]) ).
tcf(c_14410,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),complement(composition(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_14397,c_64,c_63]) ).
tcf(c_14411,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_14410,c_3111]) ).
tcf(c_14504,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,X1)),top) = top,
inference(superposition,[status(thm)],[c_209,c_9548]) ).
tcf(c_14527,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,X2))),top) = top,
inference(superposition,[status(thm)],[c_209,c_9548]) ).
tcf(c_14535,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(join(X1,one),one)),top) = top,
inference(superposition,[status(thm)],[c_1201,c_9548]) ).
tcf(c_14536,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(join(one,X1),one)),top) = top,
inference(superposition,[status(thm)],[c_1194,c_9548]) ).
tcf(c_14546,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(one,X1)),X2),top) = join(top,composition(X2,top)),
inference(superposition,[status(thm)],[c_9548,c_68]) ).
tcf(c_14547,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,X1)),composition(top,X2)) = composition(top,X2),
inference(superposition,[status(thm)],[c_9548,c_66]) ).
tcf(c_14548,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,X2))),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_9548,c_68]) ).
tcf(c_14549,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(one,X1)),one),top) = join(top,top),
inference(superposition,[status(thm)],[c_9548,c_1201]) ).
tcf(c_14550,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(one,X1))),top) = join(top,top),
inference(superposition,[status(thm)],[c_9548,c_1194]) ).
tcf(c_14551,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(X0,join(one,X1))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9548,c_90]) ).
tcf(c_14552,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(join(X0,converse(join(one,X1))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9548,c_381]) ).
tcf(c_14553,plain,
! [X0: $i,X1: $i] : composition(converse(top),join(X0,converse(join(one,X1)))) = converse(top),
inference(superposition,[status(thm)],[c_9548,c_274]) ).
tcf(c_14554,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(one,X1)),iPr_def_11),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9548,c_504]) ).
tcf(c_14555,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,join(X0,join(one,X1))),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9548,c_495]) ).
tcf(c_14556,plain,
! [X0: $i,X1: $i] : composition(converse(complement(top)),join(X0,join(one,X1))) = zero,
inference(superposition,[status(thm)],[c_9548,c_7654]) ).
tcf(c_14557,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(one,X1))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_9548,c_7621]) ).
tcf(c_14558,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(X0,join(one,X1)))) = converse(top),
inference(superposition,[status(thm)],[c_9548,c_2776]) ).
tcf(c_14563,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,converse(join(one,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_14553,c_2759]) ).
tcf(c_14564,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_11,join(X1,one))),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_14554,c_64,c_63]) ).
tcf(c_14565,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,join(X1,one))),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_14549,c_64,c_63]) ).
tcf(c_14566,plain,
! [X0: $i,X1: $i] : join(zero,composition(join(X0,converse(join(one,X1))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_14552,c_121]) ).
tcf(c_14568,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,X2))),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_14548,c_64,c_63]) ).
tcf(c_14569,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,join(X1,X2))),top) = join(top,composition(X2,top)),
inference(theory_normalisation,[status(thm)],[c_14546,c_64,c_63]) ).
tcf(c_14635,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_382]) ).
tcf(c_14636,plain,
! [X0: $i,X1: $i] : join(zero,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),top)))) = zero,
inference(superposition,[status(thm)],[c_121,c_382]) ).
tcf(c_14640,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),zero)))) = top,
inference(superposition,[status(thm)],[c_3052,c_382]) ).
tcf(c_14644,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(X1,X2)),complement(composition(join(X1,converse(converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_70,c_382]) ).
tcf(c_14645,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(complement(converse(X1)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_73,c_382]) ).
tcf(c_14646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),X3)),complement(composition(join(X2,converse(join(X1,X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_209,c_382]) ).
tcf(c_14647,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(converse(complement(converse(converse(X1)))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2767,c_382]) ).
tcf(c_14649,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(join(X2,complement(join(converse(X1),X2))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_433,c_382]) ).
tcf(c_14650,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(join(complement(converse(X1)),X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2645,c_382]) ).
tcf(c_14651,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(top)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2628,c_382]) ).
tcf(c_14652,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,converse(zero)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3047,c_382]) ).
tcf(c_14653,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(join(X2,complement(converse(X1))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2636,c_382]) ).
tcf(c_14654,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(join(X1,one),converse(X2)),complement(composition(join(X2,converse(composition(X1,converse(X2)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1201,c_382]) ).
tcf(c_14655,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(join(one,X1),converse(X2)),complement(composition(join(X2,converse(composition(X1,converse(X2)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1194,c_382]) ).
tcf(c_14656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(join(X2,join(X3,complement(converse(X1)))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3731,c_382]) ).
tcf(c_14657,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),X2),complement(composition(join(X1,converse(join(converse(X1),X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3159,c_382]) ).
tcf(c_14658,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,converse(complement(join(complement(converse(X1)),X2)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4192,c_382]) ).
tcf(c_14659,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,converse(complement(join(X2,complement(converse(X1)))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4555,c_382]) ).
tcf(c_14661,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(top,X1),complement(composition(join(top,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_382]) ).
tcf(c_14662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(converse(X1),X2),X3),complement(composition(join(join(converse(X2),X1),converse(X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_382]) ).
tcf(c_14664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(X1,converse(X2)),X3),complement(composition(join(join(X2,converse(X1)),converse(X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_382]) ).
tcf(c_14665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(join(converse(X1),X2),X3),complement(composition(join(join(X1,converse(X2)),converse(X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_382]) ).
tcf(c_14667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(composition(converse(X1),X2),X3),complement(composition(join(composition(converse(X2),X1),converse(X3)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_382]) ).
tcf(c_14668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(join(X1,converse(X2)),converse(X3)),X4),complement(composition(join(composition(X3,join(converse(X1),X2)),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_382]) ).
tcf(c_14669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(converse(X1),join(X2,converse(X3))),X4),complement(composition(join(composition(join(converse(X2),X3),X1),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_382]) ).
tcf(c_14670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(join(converse(X1),X2),converse(X3)),X4),complement(composition(join(composition(X3,join(X1,converse(X2))),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_382]) ).
tcf(c_14671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(converse(X1),join(converse(X2),X3)),X4),complement(composition(join(composition(join(X2,converse(X3)),X1),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_382]) ).
tcf(c_14672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(join(composition(X1,converse(X2)),converse(X3)),X4),complement(composition(join(join(composition(X2,converse(X1)),X3),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_382]) ).
tcf(c_14674,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(zero,X1),complement(composition(join(zero,converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_382]) ).
tcf(c_14676,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(one,converse(X1)),X2),complement(composition(join(join(one,X1),converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_382]) ).
tcf(c_14677,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(one,converse(X1)),X2),complement(composition(join(join(X1,one),converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_382]) ).
tcf(c_14678,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(composition(converse(X1),top),X2),complement(composition(join(composition(top,X1),converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_382]) ).
tcf(c_14679,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(composition(top,converse(X1)),X2),complement(composition(join(composition(X1,top),converse(X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_382]) ).
tcf(c_14681,plain,
! [X0: $i,X1: $i] : join(complement(zero),composition(join(converse(X0),X1),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_382]) ).
tcf(c_14682,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(converse(join(X0,converse(X1))),top))),composition(join(converse(X0),X1),complement(zero))) = complement(complement(composition(converse(join(X0,converse(X1))),top))),
inference(superposition,[status(thm)],[c_7622,c_382]) ).
tcf(c_14683,plain,
! [X0: $i] : join(complement(top),composition(join(converse(one),X0),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_8978,c_382]) ).
tcf(c_14686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(join(X1,X2)),X3),complement(composition(join(X1,join(X2,converse(X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_64,c_382]) ).
tcf(c_14687,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(converse(X1)),X2),complement(composition(converse(join(X1,X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_70,c_382]) ).
tcf(c_14688,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(zero),X1),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2951,c_382]) ).
tcf(c_14689,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(X1),complement(converse(X1))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2767,c_382]) ).
tcf(c_14691,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(top),X1),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2640,c_382]) ).
tcf(c_14692,plain,
! [X0: $i] : join(complement(X0),composition(join(converse(one),complement(one)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2766,c_382]) ).
tcf(c_14694,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(one),join(X1,complement(one))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3775,c_382]) ).
tcf(c_14696,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(X1),top),complement(composition(join(X1,top),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_382]) ).
tcf(c_14697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(converse(X2),X3)),complement(composition(join(X1,join(converse(X3),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_382]) ).
tcf(c_14698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(converse(X2),X3)),complement(composition(join(X1,join(X2,converse(X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_382]) ).
tcf(c_14699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(X2,converse(X3))),complement(composition(join(X1,join(X3,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_382]) ).
tcf(c_14702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),composition(converse(X2),X3)),complement(composition(join(X1,composition(converse(X3),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_382]) ).
tcf(c_14703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),composition(X2,join(converse(X3),X4))),complement(composition(join(X1,composition(join(X3,converse(X4)),converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_382]) ).
tcf(c_14704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),composition(join(converse(X2),X3),X4)),complement(composition(join(X1,composition(converse(X4),join(X2,converse(X3)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_382]) ).
tcf(c_14705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),composition(X2,join(X3,converse(X4)))),complement(composition(join(X1,composition(join(converse(X3),X4),converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_382]) ).
tcf(c_14706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),composition(join(X2,converse(X3)),X4)),complement(composition(join(X1,composition(converse(X4),join(converse(X2),X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_382]) ).
tcf(c_14707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),join(composition(X2,converse(X3)),X4)),complement(composition(join(X1,join(composition(X3,converse(X2)),converse(X4))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_382]) ).
tcf(c_14708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),join(X2,composition(X3,converse(X4)))),complement(composition(join(X1,join(converse(X2),composition(X4,converse(X3)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_382]) ).
tcf(c_14709,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(X1),zero),complement(composition(join(X1,zero),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_382]) ).
tcf(c_14712,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),join(X2,one)),complement(composition(join(X1,join(one,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_382]) ).
tcf(c_14713,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),composition(top,X2)),complement(composition(join(X1,composition(converse(X2),top)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_382]) ).
tcf(c_14714,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),composition(X2,top)),complement(composition(join(X1,composition(top,converse(X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_382]) ).
tcf(c_14716,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_382,c_433]) ).
tcf(c_14717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_382,c_64]) ).
tcf(c_14721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,composition(join(converse(X2),X3),complement(composition(join(X2,converse(X3)),X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_382,c_209]) ).
tcf(c_14726,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),top)) = top,
inference(light_normalisation,[status(thm)],[c_14681,c_3052]) ).
tcf(c_14727,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(top,X1),complement(composition(top,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14691,c_2759]) ).
tcf(c_14728,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(X1,top),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14651,c_2759]) ).
tcf(c_14729,plain,
! [X0: $i] : join(complement(X0),composition(join(complement(one),converse(one)),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14692,c_64,c_63]) ).
tcf(c_14730,plain,
! [X0: $i] : join(complement(X0),composition(join(complement(one),one),complement(composition(top,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14729,c_1109]) ).
tcf(c_14731,plain,
! [X0: $i] : join(complement(X0),composition(join(one,complement(one)),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14730,c_64,c_63]) ).
tcf(c_14732,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(zero,X1),complement(composition(converse(X1),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14688,c_3363]) ).
tcf(c_14733,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,zero),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14652,c_3363]) ).
tcf(c_14736,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(zero,converse(X1)),complement(composition(join(X1,zero),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14709,c_64,c_63]) ).
tcf(c_14737,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(top,converse(X1)),complement(composition(join(X1,top),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14696,c_64,c_63]) ).
tcf(c_14739,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(complement(one),join(X1,converse(one))),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14694,c_64,c_63]) ).
tcf(c_14740,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(complement(one),join(X1,one)),complement(composition(top,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_14739,c_1109]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(one,join(X1,complement(one))),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14740,c_64,c_63]) ).
tcf(c_14745,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_14716,c_64,c_63]) ).
tcf(c_14746,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))))) = top,
inference(light_normalisation,[status(thm)],[c_14745,c_2961]) ).
tcf(c_14747,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_14746,c_64,c_63]) ).
tcf(c_14749,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,join(X1,converse(X2))),complement(composition(join(X2,join(one,converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14712,c_64,c_63]) ).
tcf(c_14751,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,join(converse(X1),X2)),complement(composition(join(X1,join(one,converse(X2))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14677,c_64,c_63]) ).
tcf(c_14752,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,join(converse(X1),X2)),complement(composition(join(one,join(X1,converse(X2))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14676,c_64,c_63]) ).
tcf(c_14753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(X2,X3)),complement(composition(join(X1,join(converse(X2),converse(X3))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14665,c_64,c_63]) ).
tcf(c_14754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,join(converse(X2),X3)),complement(composition(join(X2,join(converse(X1),converse(X3))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14664,c_64,c_63]) ).
tcf(c_14756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),join(X2,X3)),complement(composition(join(converse(X2),join(X1,converse(X3))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14662,c_64,c_63]) ).
tcf(c_14757,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(X0),X1),complement(zero)),complement(complement(composition(converse(join(X0,converse(X1))),top)))) = complement(complement(composition(converse(join(X0,converse(X1))),top))),
inference(theory_normalisation,[status(thm)],[c_14682,c_64,c_63]) ).
tcf(c_14758,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(X0),X1),top),complement(complement(composition(join(X1,converse(X0)),top)))) = complement(complement(composition(join(X1,converse(X0)),top))),
inference(light_normalisation,[status(thm)],[c_14757,c_264,c_3052]) ).
tcf(c_14760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(X1,converse(X2)),join(converse(X3),X4)),complement(composition(join(composition(X2,converse(X1)),join(X3,converse(X4))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_14672,c_64,c_63]) ).
tcf(c_14964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(X3,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_64,c_3307]) ).
tcf(c_14968,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_2640,c_3307]) ).
tcf(c_14970,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),complement(top))) = top,
inference(superposition,[status(thm)],[c_3307,c_433]) ).
tcf(c_14971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_3307,c_64]) ).
tcf(c_14974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(X3,iPr_def_11))))) = join(X0,top),
inference(superposition,[status(thm)],[c_3307,c_209]) ).
tcf(c_14975,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_10,join(X1,join(X2,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_3307,c_209]) ).
tcf(c_14982,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_14970,c_64,c_63]) ).
tcf(c_14983,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_14982,c_121]) ).
tcf(c_14985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,X3))))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_14971,c_64,c_63]) ).
tcf(c_15009,plain,
! [X0: $i] : composition(zero,composition(iPr_def_12,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10244,c_10822]) ).
tcf(c_15010,plain,
! [X0: $i] : composition(zero,composition(iPr_def_10,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10271,c_10822]) ).
tcf(c_15012,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0)))))) = complement(X0),
inference(demodulation,[status(thm)],[c_383,c_66]) ).
tcf(c_15013,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),complement(X0))))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_15012]) ).
tcf(c_15014,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(X1),complement(composition(X1,composition(converse(X0),top)))))) = zero,
inference(superposition,[status(thm)],[c_121,c_15012]) ).
tcf(c_15015,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(X0,composition(converse(X1),complement(composition(X1,composition(converse(X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3111,c_15012]) ).
tcf(c_15017,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,composition(converse(X1),complement(composition(X1,composition(converse(X0),iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2962,c_15012]) ).
tcf(c_15018,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,composition(converse(X1),complement(composition(X1,composition(converse(X0),zero)))))) = top,
inference(superposition,[status(thm)],[c_3052,c_15012]) ).
tcf(c_15019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(X2,composition(converse(X3),complement(composition(X3,composition(converse(composition(X1,X2)),X0))))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_15012]) ).
tcf(c_15020,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,composition(converse(one),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_15012]) ).
tcf(c_15022,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(X2,complement(composition(converse(X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_15012]) ).
tcf(c_15023,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(top,complement(composition(top,composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_15012]) ).
tcf(c_15024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(join(converse(X2),X3),complement(composition(join(converse(X3),X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_15012]) ).
tcf(c_15025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(join(X2,converse(X3)),complement(composition(join(converse(X2),X3),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_15012]) ).
tcf(c_15026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(join(X2,converse(X3)),complement(composition(join(X3,converse(X2)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_15012]) ).
tcf(c_15027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(join(converse(X2),X3),complement(composition(join(X2,converse(X3)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_15012]) ).
tcf(c_15028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(composition(X2,converse(X3)),complement(composition(composition(X3,converse(X2)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_256,c_15012]) ).
tcf(c_15029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(composition(converse(X2),X3),complement(composition(composition(converse(X3),X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_15012]) ).
tcf(c_15030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(composition(join(X2,converse(X3)),converse(X4)),complement(composition(composition(X4,join(converse(X2),X3)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_15012]) ).
tcf(c_15031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(composition(converse(X2),join(X3,converse(X4))),complement(composition(composition(join(converse(X3),X4),X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_15012]) ).
tcf(c_15032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(composition(join(converse(X2),X3),converse(X4)),complement(composition(composition(X4,join(X2,converse(X3))),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_15012]) ).
tcf(c_15033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(composition(converse(X2),join(converse(X3),X4)),complement(composition(composition(join(X3,converse(X4)),X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_15012]) ).
tcf(c_15034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(join(composition(X2,converse(X3)),converse(X4)),complement(composition(join(composition(X3,converse(X2)),X4),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_15012]) ).
tcf(c_15035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(join(converse(X2),composition(X3,converse(X4))),complement(composition(join(X2,composition(X4,converse(X3))),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_15012]) ).
tcf(c_15036,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(zero,complement(composition(zero,composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_15012]) ).
tcf(c_15037,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(one,complement(composition(one,composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1109,c_15012]) ).
tcf(c_15038,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(join(one,converse(X2)),complement(composition(join(one,X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_15012]) ).
tcf(c_15039,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(join(one,converse(X2)),complement(composition(join(X2,one),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_15012]) ).
tcf(c_15040,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(composition(converse(X2),top),complement(composition(composition(top,X2),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_15012]) ).
tcf(c_15041,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(composition(top,converse(X2)),complement(composition(composition(X2,top),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_15012]) ).
tcf(c_15042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(X1,composition(converse(composition(X2,X3)),complement(composition(X2,composition(X3,composition(converse(X1),X0))))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_15012]) ).
tcf(c_15043,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(converse(one),complement(composition(converse(X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_15012]) ).
tcf(c_15044,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(converse(zero),complement(zero)))) = complement(X0),
inference(superposition,[status(thm)],[c_10822,c_15012]) ).
tcf(c_15045,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(converse(converse(complement(composition(composition(converse(X1),X0),top)))),complement(zero)))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_15012]) ).
tcf(c_15046,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(X0,composition(converse(X1),complement(composition(X1,converse(X0)))))) = complement(one),
inference(superposition,[status(thm)],[c_67,c_15012]) ).
tcf(c_15047,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),composition(X1,composition(converse(X2),complement(composition(X2,converse(composition(X0,X1))))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_71,c_15012]) ).
tcf(c_15048,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,top))),composition(X0,composition(converse(X1),complement(composition(X1,zero))))) = complement(complement(composition(X0,top))),
inference(superposition,[status(thm)],[c_7621,c_15012]) ).
tcf(c_15049,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(iPr_def_11,composition(converse(X0),complement(composition(X0,zero))))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_2963,c_15012]) ).
tcf(c_15050,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(sk1,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2964,c_15012]) ).
tcf(c_15051,plain,
! [X0: $i,X1: $i] : join(complement(zero),composition(X0,composition(converse(X1),complement(composition(X1,zero))))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_15012]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(sk1,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_10832,c_15012]) ).
tcf(c_15053,plain,
! [X0: $i] : join(complement(sk1),composition(iPr_def_11,composition(converse(X0),complement(composition(X0,zero))))) = complement(sk1),
inference(superposition,[status(thm)],[c_3696,c_15012]) ).
tcf(c_15054,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(complement(iPr_def_12),composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_3657,c_15012]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),composition(iPr_def_11,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_10831,c_15012]) ).
tcf(c_15056,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(sk1,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9602,c_15012]) ).
tcf(c_15057,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(sk1,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12375,c_15012]) ).
tcf(c_15058,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(composition(iPr_def_11,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(sk1),
inference(superposition,[status(thm)],[c_12385,c_15012]) ).
tcf(c_15059,plain,
! [X0: $i] : join(complement(sk1),composition(iPr_def_12,composition(converse(X0),complement(composition(X0,zero))))) = complement(sk1),
inference(superposition,[status(thm)],[c_9595,c_15012]) ).
tcf(c_15060,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(iPr_def_11,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_9601,c_15012]) ).
tcf(c_15061,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(iPr_def_11,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12332,c_15012]) ).
tcf(c_15062,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(composition(sk1,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12343,c_15012]) ).
tcf(c_15063,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(iPr_def_10,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_9596,c_15012]) ).
tcf(c_15064,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),composition(iPr_def_12,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_12573,c_15012]) ).
tcf(c_15065,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(iPr_def_10,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_12864,c_15012]) ).
tcf(c_15066,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(converse(converse(X0)),top))),composition(X0,composition(converse(X1),complement(composition(X1,zero))))) = complement(complement(composition(converse(converse(X0)),top))),
inference(superposition,[status(thm)],[c_7622,c_15012]) ).
tcf(c_15067,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(complement(composition(X0,top)),composition(converse(X1),complement(composition(X1,zero))))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_15012]) ).
tcf(c_15068,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(iPr_def_12,composition(converse(X0),complement(composition(X0,zero))))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_9806,c_15012]) ).
tcf(c_15069,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(complement(iPr_def_12),composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9805,c_15012]) ).
tcf(c_15070,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(composition(iPr_def_10,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12412,c_15012]) ).
tcf(c_15071,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(composition(iPr_def_12,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(sk1),
inference(superposition,[status(thm)],[c_12487,c_15012]) ).
tcf(c_15072,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(iPr_def_12,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12574,c_15012]) ).
tcf(c_15073,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(iPr_def_12,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12576,c_15012]) ).
tcf(c_15074,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(composition(sk1,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12587,c_15012]) ).
tcf(c_15075,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(iPr_def_10,composition(converse(X0),complement(composition(X0,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12608,c_15012]) ).
tcf(c_15076,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(iPr_def_10,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12641,c_15012]) ).
tcf(c_15077,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(composition(iPr_def_10,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12794,c_15012]) ).
tcf(c_15078,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(composition(iPr_def_12,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12852,c_15012]) ).
tcf(c_15079,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(composition(iPr_def_11,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12878,c_15012]) ).
tcf(c_15080,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(X1),composition(converse(X2),complement(composition(X2,composition(X1,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_69,c_15012]) ).
tcf(c_15081,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,composition(converse(X1),complement(composition(X1,composition(top,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2759,c_15012]) ).
tcf(c_15082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),X2),composition(converse(X3),complement(composition(X3,composition(join(converse(X2),X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_312,c_15012]) ).
tcf(c_15083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),X2),composition(converse(X3),complement(composition(X3,composition(join(X1,converse(X2)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_250,c_15012]) ).
tcf(c_15084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(X2)),composition(converse(X3),complement(composition(X3,composition(join(X2,converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_264,c_15012]) ).
tcf(c_15085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(X2)),composition(converse(X3),complement(composition(X3,composition(join(converse(X1),X2),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_251,c_15012]) ).
tcf(c_15086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(X1,converse(X2)),composition(converse(X3),complement(composition(X3,composition(composition(X2,converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_256,c_15012]) ).
tcf(c_15087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(converse(X1),X2),composition(converse(X3),complement(composition(X3,composition(composition(converse(X2),X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_15012]) ).
tcf(c_15088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(composition(X1,join(converse(X2),X3)),composition(converse(X4),complement(composition(X4,composition(composition(join(X2,converse(X3)),converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_15012]) ).
tcf(c_15089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(composition(join(converse(X1),X2),X3),composition(converse(X4),complement(composition(X4,composition(composition(converse(X3),join(X1,converse(X2))),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_15012]) ).
tcf(c_15090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(composition(X1,join(X2,converse(X3))),composition(converse(X4),complement(composition(X4,composition(composition(join(converse(X2),X3),converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_15012]) ).
tcf(c_15091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(composition(join(X1,converse(X2)),X3),composition(converse(X4),complement(composition(X4,composition(composition(converse(X3),join(converse(X1),X2)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_15012]) ).
tcf(c_15092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(composition(X1,converse(X2)),X3),composition(converse(X4),complement(composition(X4,composition(join(composition(X2,converse(X1)),converse(X3)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_354,c_15012]) ).
tcf(c_15093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,composition(X2,converse(X3))),composition(converse(X4),complement(composition(X4,composition(join(converse(X1),composition(X3,converse(X2))),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_359,c_15012]) ).
tcf(c_15094,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,composition(converse(X1),complement(composition(X1,composition(zero,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_3363,c_15012]) ).
tcf(c_15095,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(one,composition(converse(X1),complement(composition(X1,composition(one,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1109,c_15012]) ).
tcf(c_15096,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,X1),composition(converse(X2),complement(composition(X2,composition(join(one,converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1155,c_15012]) ).
tcf(c_15097,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,one),composition(converse(X2),complement(composition(X2,composition(join(one,converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1161,c_15012]) ).
tcf(c_15098,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(top,X1),composition(converse(X2),complement(composition(X2,composition(composition(converse(X1),top),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_15012]) ).
tcf(c_15099,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(X1,top),composition(converse(X2),complement(composition(X2,composition(composition(top,converse(X1)),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_15012]) ).
tcf(c_15101,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0))))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_15012,c_433]) ).
tcf(c_15102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0))))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_15012,c_64]) ).
tcf(c_15106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,composition(X2,composition(converse(X3),complement(composition(X3,composition(converse(X2),X0))))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_15012,c_209]) ).
tcf(c_15111,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(zero,top))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15044,c_3052,c_3363]) ).
tcf(c_15112,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(iPr_def_10,composition(converse(X0),top))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_15075,c_3052,c_10786]) ).
tcf(c_15113,plain,
! [X0: $i] : join(iPr_def_11,composition(iPr_def_12,composition(converse(X0),top))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15072,c_3052,c_3111,c_10786]) ).
tcf(c_15114,plain,
! [X0: $i] : join(iPr_def_10,composition(iPr_def_10,composition(converse(X0),top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15063,c_2962,c_3052,c_10786]) ).
tcf(c_15115,plain,
! [X0: $i] : join(iPr_def_11,composition(iPr_def_11,composition(converse(X0),top))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15060,c_3052,c_3111,c_10786]) ).
tcf(c_15116,plain,
! [X0: $i] : join(complement(sk1),composition(iPr_def_12,composition(converse(X0),top))) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_15059,c_3052,c_10786]) ).
tcf(c_15117,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(sk1,composition(converse(X0),top))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_15056,c_3052,c_10786]) ).
tcf(c_15118,plain,
! [X0: $i] : join(complement(sk1),composition(iPr_def_11,composition(converse(X0),top))) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_15053,c_3052,c_10786]) ).
tcf(c_15119,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,composition(converse(X1),complement(composition(X1,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_15051,c_3052]) ).
tcf(c_15120,plain,
! [X0: $i] : join(iPr_def_10,composition(sk1,composition(converse(X0),top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15050,c_2962,c_3052,c_10786]) ).
tcf(c_15121,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(complement(iPr_def_12),composition(converse(X0),top))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_15069,c_3052,c_10786]) ).
tcf(c_15122,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(iPr_def_12),composition(converse(X0),top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15054,c_2962,c_3052,c_10786]) ).
tcf(c_15123,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(one,complement(composition(converse(X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15043,c_1109]) ).
tcf(c_15125,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(one,composition(converse(X1),complement(composition(X1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15095,c_1118]) ).
tcf(c_15126,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,composition(converse(X1),complement(composition(X1,zero))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15094,c_10822]) ).
tcf(c_15127,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(iPr_def_11,X0),composition(converse(X1),complement(composition(X1,zero))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15079,c_3111]) ).
tcf(c_15128,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(iPr_def_12,X0),composition(converse(X1),complement(composition(X1,zero))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15078,c_3111]) ).
tcf(c_15129,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(iPr_def_10,X0),composition(converse(X1),complement(composition(X1,zero))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15070,c_2962]) ).
tcf(c_15130,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(iPr_def_12,composition(converse(X0),top))) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_15068,c_3052,c_10786]) ).
tcf(c_15131,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(sk1,X0),composition(converse(X1),complement(composition(X1,zero))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15062,c_2962]) ).
tcf(c_15132,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(iPr_def_11,composition(converse(X0),top))) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_15049,c_3052,c_10786]) ).
tcf(c_15133,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(converse(converse(complement(composition(composition(converse(X1),X0),top)))),top))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15045,c_3052]) ).
tcf(c_15134,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_15101,c_64,c_63]) ).
tcf(c_15135,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_15134,c_2961]) ).
tcf(c_15136,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_15135,c_64,c_63]) ).
tcf(c_15409,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_3653,c_10822]) ).
tcf(c_15415,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),X0),composition(complement(iPr_def_12),X1)) = join(zero,composition(X0,composition(complement(iPr_def_12),X1))),
inference(superposition,[status(thm)],[c_15409,c_68]) ).
tcf(c_15416,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_11),composition(composition(complement(iPr_def_12),X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_15409,c_66]) ).
tcf(c_15417,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(complement(iPr_def_12),X1)) = join(composition(X0,composition(complement(iPr_def_12),X1)),zero),
inference(superposition,[status(thm)],[c_15409,c_68]) ).
tcf(c_15419,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(complement(iPr_def_12),X0)) = join(composition(complement(iPr_def_12),X0),zero),
inference(superposition,[status(thm)],[c_15409,c_1194]) ).
tcf(c_15420,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_15409,c_90]) ).
tcf(c_15421,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(iPr_def_11,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_15409,c_15012]) ).
tcf(c_15422,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(iPr_def_11,complement(zero))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_15409,c_380]) ).
tcf(c_15423,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_15409,c_257]) ).
tcf(c_15424,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_15423,c_3363]) ).
tcf(c_15425,plain,
! [X0: $i] : join(composition(iPr_def_11,complement(zero)),complement(composition(complement(iPr_def_12),X0))) = complement(composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_15422,c_64,c_63]) ).
tcf(c_15426,plain,
! [X0: $i] : join(iPr_def_12,complement(composition(complement(iPr_def_12),X0))) = complement(composition(complement(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_15425,c_3052,c_12652]) ).
tcf(c_15427,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_11)),composition(complement(iPr_def_12),X0)) = join(zero,composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_15419,c_64,c_63]) ).
tcf(c_15429,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(converse(converse(iPr_def_11)),top)) = complement(composition(complement(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_15420,c_3052]) ).
tcf(c_15430,plain,
! [X0: $i] : join(composition(converse(converse(iPr_def_11)),top),complement(composition(complement(iPr_def_12),X0))) = complement(composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_15429,c_64,c_63]) ).
tcf(c_15431,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(complement(iPr_def_12),X1)) = join(zero,composition(X0,composition(complement(iPr_def_12),X1))),
inference(theory_normalisation,[status(thm)],[c_15417,c_64,c_63]) ).
tcf(c_15484,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_3711,c_10822]) ).
tcf(c_15489,plain,
composition(converse(complement(iPr_def_12)),zero) = zero,
inference(superposition,[status(thm)],[c_10786,c_15484]) ).
tcf(c_15491,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(iPr_def_12)),X0),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_15484,c_68]) ).
tcf(c_15492,plain,
! [X0: $i,X1: $i] : composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_15484,c_66]) ).
tcf(c_15493,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_11,X1)) = join(composition(X0,composition(iPr_def_11,X1)),zero),
inference(superposition,[status(thm)],[c_15484,c_68]) ).
tcf(c_15495,plain,
! [X0: $i] : composition(join(one,converse(complement(iPr_def_12))),composition(iPr_def_11,X0)) = join(composition(iPr_def_11,X0),zero),
inference(superposition,[status(thm)],[c_15484,c_1194]) ).
tcf(c_15496,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15484,c_90]) ).
tcf(c_15497,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(complement(iPr_def_12),composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15484,c_15012]) ).
tcf(c_15498,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(complement(iPr_def_12),complement(zero))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15484,c_380]) ).
tcf(c_15499,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_15484,c_257]) ).
tcf(c_15500,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_15499,c_3363]) ).
tcf(c_15501,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),iPr_def_10) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_15498,c_3052,c_13680]) ).
tcf(c_15503,plain,
! [X0: $i] : composition(join(one,converse(complement(iPr_def_12))),composition(iPr_def_11,X0)) = join(zero,composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_15495,c_64,c_63]) ).
tcf(c_15507,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_11,X1)) = join(zero,composition(X0,composition(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_15493,c_64,c_63]) ).
tcf(c_15531,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,converse(sk1))) = composition(join(iPr_def_10,X0),converse(sk1)),
inference(superposition,[status(thm)],[c_10655,c_68]) ).
tcf(c_15532,plain,
! [X0: $i] : composition(composition(iPr_def_10,converse(iPr_def_10)),X0) = composition(iPr_def_10,composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_10655,c_66]) ).
tcf(c_15533,plain,
! [X0: $i] : join(composition(X0,converse(sk1)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(X0,iPr_def_10),converse(sk1)),
inference(superposition,[status(thm)],[c_10655,c_68]) ).
tcf(c_15535,plain,
join(converse(sk1),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(one,iPr_def_10),converse(sk1)),
inference(superposition,[status(thm)],[c_10655,c_1194]) ).
tcf(c_15536,plain,
join(complement(converse(sk1)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_10655,c_90]) ).
tcf(c_15537,plain,
converse(composition(iPr_def_10,converse(iPr_def_10))) = composition(sk1,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10655,c_256]) ).
tcf(c_15538,plain,
! [X0: $i] : join(composition(sk1,converse(iPr_def_10)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_10655,c_354]) ).
tcf(c_15539,plain,
! [X0: $i] : join(converse(X0),composition(sk1,converse(iPr_def_10))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_10655,c_359]) ).
tcf(c_15540,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_10))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_10655,c_12794]) ).
tcf(c_15541,plain,
composition(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_10655,c_12576]) ).
tcf(c_15542,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_10))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_10655,c_12412]) ).
tcf(c_15543,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_10655,c_12332]) ).
tcf(c_15544,plain,
converse(composition(iPr_def_10,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_15537,c_10671]) ).
tcf(c_15545,plain,
join(converse(sk1),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(iPr_def_10,one),converse(sk1)),
inference(theory_normalisation,[status(thm)],[c_15535,c_64,c_63]) ).
tcf(c_15546,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_10,converse(iPr_def_10))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_15539,c_10671]) ).
tcf(c_15547,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_10)),X0)),
inference(light_normalisation,[status(thm)],[c_15538,c_10671]) ).
tcf(c_15551,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),composition(X0,converse(iPr_def_12))) = composition(join(iPr_def_10,X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10656,c_68]) ).
tcf(c_15552,plain,
! [X0: $i] : composition(composition(iPr_def_10,converse(iPr_def_11)),X0) = composition(iPr_def_10,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10656,c_66]) ).
tcf(c_15553,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(X0,iPr_def_10),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10656,c_68]) ).
tcf(c_15555,plain,
join(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(one,iPr_def_10),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10656,c_1194]) ).
tcf(c_15556,plain,
join(complement(converse(iPr_def_12)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_11))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10656,c_90]) ).
tcf(c_15557,plain,
converse(composition(iPr_def_10,converse(iPr_def_11))) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10656,c_256]) ).
tcf(c_15558,plain,
! [X0: $i] : join(composition(iPr_def_12,converse(iPr_def_10)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_11)),X0)),
inference(superposition,[status(thm)],[c_10656,c_354]) ).
tcf(c_15559,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_12,converse(iPr_def_10))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_10656,c_359]) ).
tcf(c_15561,plain,
composition(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_10656,c_12576]) ).
tcf(c_15563,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_10656,c_12332]) ).
tcf(c_15565,plain,
join(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(iPr_def_10,one),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_15555,c_64,c_63]) ).
tcf(c_15566,plain,
composition(join(iPr_def_10,one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_15565,c_9007]) ).
tcf(c_15613,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,converse(iPr_def_10))) = composition(join(sk1,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10671,c_68]) ).
tcf(c_15614,plain,
! [X0: $i] : composition(composition(iPr_def_10,converse(iPr_def_10)),X0) = composition(sk1,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10671,c_66]) ).
tcf(c_15615,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(X0,sk1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10671,c_68]) ).
tcf(c_15617,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(one,sk1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10671,c_1194]) ).
tcf(c_15618,plain,
join(complement(converse(iPr_def_10)),composition(converse(sk1),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10671,c_90]) ).
tcf(c_15619,plain,
converse(composition(iPr_def_10,converse(iPr_def_10))) = composition(iPr_def_10,converse(sk1)),
inference(superposition,[status(thm)],[c_10671,c_256]) ).
tcf(c_15620,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(sk1)),converse(X0)) = converse(join(composition(iPr_def_10,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_10671,c_354]) ).
tcf(c_15621,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_10,converse(sk1))) = converse(join(X0,composition(iPr_def_10,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_10671,c_359]) ).
tcf(c_15627,plain,
! [X0: $i] : composition(sk1,composition(converse(iPr_def_10),X0)) = composition(iPr_def_10,composition(converse(sk1),X0)),
inference(light_normalisation,[status(thm)],[c_15614,c_15532]) ).
tcf(c_15628,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(sk1,one),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_15617,c_64,c_63]) ).
tcf(c_15646,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_12)),composition(X0,converse(iPr_def_12))) = composition(join(iPr_def_12,X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10707,c_68]) ).
tcf(c_15647,plain,
! [X0: $i] : composition(composition(iPr_def_11,converse(iPr_def_12)),X0) = composition(iPr_def_12,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10707,c_66]) ).
tcf(c_15648,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(X0,iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10707,c_68]) ).
tcf(c_15650,plain,
join(converse(iPr_def_12),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(one,iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10707,c_1194]) ).
tcf(c_15651,plain,
join(complement(converse(iPr_def_12)),composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10707,c_90]) ).
tcf(c_15659,plain,
! [X0: $i] : composition(iPr_def_12,composition(converse(iPr_def_11),X0)) = composition(iPr_def_12,composition(converse(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_15647,c_5973]) ).
tcf(c_15660,plain,
join(converse(iPr_def_12),composition(iPr_def_11,converse(iPr_def_12))) = composition(join(iPr_def_12,one),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_15650,c_64,c_63]) ).
tcf(c_15664,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),composition(X0,converse(iPr_def_10))) = composition(join(iPr_def_12,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10708,c_68]) ).
tcf(c_15665,plain,
! [X0: $i] : composition(composition(iPr_def_11,converse(iPr_def_10)),X0) = composition(iPr_def_12,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10708,c_66]) ).
tcf(c_15666,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(X0,iPr_def_12),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10708,c_68]) ).
tcf(c_15668,plain,
join(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(one,iPr_def_12),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10708,c_1194]) ).
tcf(c_15669,plain,
join(complement(converse(iPr_def_10)),composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10708,c_90]) ).
tcf(c_15670,plain,
converse(composition(iPr_def_11,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10708,c_256]) ).
tcf(c_15671,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_12)),converse(X0)) = converse(join(composition(iPr_def_11,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_10708,c_354]) ).
tcf(c_15672,plain,
! [X0: $i] : join(converse(X0),composition(iPr_def_10,converse(iPr_def_12))) = converse(join(X0,composition(iPr_def_11,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_10708,c_359]) ).
tcf(c_15678,plain,
join(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(iPr_def_12,one),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_15668,c_64,c_63]) ).
tcf(c_15706,plain,
composition(converse(iPr_def_10),one) = composition(top,converse(sk1)),
inference(superposition,[status(thm)],[c_67,c_4321]) ).
tcf(c_15707,plain,
! [X0: $i] : composition(top,converse(composition(X0,sk1))) = composition(converse(iPr_def_10),converse(X0)),
inference(superposition,[status(thm)],[c_71,c_4321]) ).
tcf(c_15708,plain,
composition(converse(iPr_def_10),complement(composition(sk1,top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7621,c_4321]) ).
tcf(c_15710,plain,
composition(converse(iPr_def_10),zero) = composition(top,zero),
inference(superposition,[status(thm)],[c_10786,c_4321]) ).
tcf(c_15711,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_10832,c_4321]) ).
tcf(c_15712,plain,
composition(converse(iPr_def_10),iPr_def_12) = composition(top,zero),
inference(superposition,[status(thm)],[c_9602,c_4321]) ).
tcf(c_15713,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_12375,c_4321]) ).
tcf(c_15714,plain,
composition(converse(iPr_def_10),complement(composition(converse(converse(sk1)),top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7622,c_4321]) ).
tcf(c_15715,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,composition(converse(sk1),X0))) = composition(join(top,X1),composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_68]) ).
tcf(c_15716,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(converse(sk1),X0),X1)) = composition(composition(converse(iPr_def_10),X0),X1),
inference(superposition,[status(thm)],[c_4321,c_66]) ).
tcf(c_15717,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(sk1),X1)),composition(converse(iPr_def_10),X1)) = composition(join(X0,top),composition(converse(sk1),X1)),
inference(superposition,[status(thm)],[c_4321,c_68]) ).
tcf(c_15719,plain,
! [X0: $i] : join(composition(converse(sk1),X0),composition(converse(iPr_def_10),X0)) = composition(join(one,top),composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_1194]) ).
tcf(c_15720,plain,
! [X0: $i] : join(complement(composition(converse(sk1),X0)),composition(converse(top),complement(composition(converse(iPr_def_10),X0)))) = complement(composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_90]) ).
tcf(c_15721,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(converse(iPr_def_10),X0)) = composition(iPr_def_10,composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_13682]) ).
tcf(c_15722,plain,
! [X0: $i] : composition(iPr_def_12,composition(converse(sk1),X0)) = composition(iPr_def_12,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4321,c_9798]) ).
tcf(c_15723,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(sk1),X0)) = composition(iPr_def_10,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4321,c_9761]) ).
tcf(c_15725,plain,
! [X0: $i] : composition(converse(composition(converse(sk1),X0)),top) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4321,c_2778]) ).
tcf(c_15726,plain,
! [X0: $i] : composition(iPr_def_11,composition(converse(iPr_def_10),X0)) = composition(iPr_def_12,composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_470]) ).
tcf(c_15728,plain,
! [X0: $i] : join(complement(X0),composition(sk1,composition(converse(top),complement(composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4321,c_15012]) ).
tcf(c_15729,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(sk1,composition(converse(top),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4321,c_15012]) ).
tcf(c_15731,plain,
composition(converse(iPr_def_10),one) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_15706,c_4282]) ).
tcf(c_15735,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15729,c_467,c_2759]) ).
tcf(c_15736,plain,
! [X0: $i] : join(complement(X0),composition(sk1,composition(top,complement(composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15728,c_2759]) ).
tcf(c_15737,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),X0),composition(converse(sk1),X0)) = composition(join(top,one),composition(converse(sk1),X0)),
inference(theory_normalisation,[status(thm)],[c_15719,c_64,c_63]) ).
tcf(c_15739,plain,
! [X0: $i] : join(complement(composition(converse(sk1),X0)),composition(top,complement(composition(converse(iPr_def_10),X0)))) = complement(composition(converse(sk1),X0)),
inference(light_normalisation,[status(thm)],[c_15720,c_2759]) ).
tcf(c_15740,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,composition(converse(sk1),X0))) = composition(join(X1,top),composition(converse(sk1),X0)),
inference(theory_normalisation,[status(thm)],[c_15717,c_64,c_63]) ).
tcf(c_15752,plain,
composition(converse(iPr_def_12),one) = composition(top,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_67,c_4342]) ).
tcf(c_15753,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_11))) = composition(converse(iPr_def_12),converse(X0)),
inference(superposition,[status(thm)],[c_71,c_4342]) ).
tcf(c_15754,plain,
composition(converse(iPr_def_12),complement(composition(iPr_def_11,top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7621,c_4342]) ).
tcf(c_15755,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = composition(top,zero),
inference(superposition,[status(thm)],[c_2963,c_4342]) ).
tcf(c_15756,plain,
composition(converse(iPr_def_12),zero) = composition(top,zero),
inference(superposition,[status(thm)],[c_10786,c_4342]) ).
tcf(c_15758,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_15409,c_4342]) ).
tcf(c_15759,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_10831,c_4342]) ).
tcf(c_15760,plain,
composition(converse(iPr_def_12),iPr_def_10) = composition(top,zero),
inference(superposition,[status(thm)],[c_9601,c_4342]) ).
tcf(c_15761,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_12332,c_4342]) ).
tcf(c_15762,plain,
composition(converse(iPr_def_12),complement(composition(converse(converse(iPr_def_11)),top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7622,c_4342]) ).
tcf(c_15763,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(converse(iPr_def_11),X0))) = composition(join(top,X1),composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_68]) ).
tcf(c_15764,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(converse(iPr_def_11),X0),X1)) = composition(composition(converse(iPr_def_12),X0),X1),
inference(superposition,[status(thm)],[c_4342,c_66]) ).
tcf(c_15765,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(iPr_def_11),X1)),composition(converse(iPr_def_12),X1)) = composition(join(X0,top),composition(converse(iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_4342,c_68]) ).
tcf(c_15767,plain,
! [X0: $i] : join(composition(converse(iPr_def_11),X0),composition(converse(iPr_def_12),X0)) = composition(join(one,top),composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_1194]) ).
tcf(c_15768,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_11),X0)),composition(converse(top),complement(composition(converse(iPr_def_12),X0)))) = complement(composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_90]) ).
tcf(c_15769,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(converse(iPr_def_12),X0)) = composition(iPr_def_10,composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_13682]) ).
tcf(c_15771,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(iPr_def_11),X0)) = composition(iPr_def_10,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_4342,c_9761]) ).
tcf(c_15773,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_11),X0)),top) = converse(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_4342,c_2778]) ).
tcf(c_15774,plain,
! [X0: $i] : composition(iPr_def_11,composition(converse(iPr_def_12),X0)) = composition(iPr_def_12,composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_470]) ).
tcf(c_15775,plain,
! [X0: $i] : composition(sk1,composition(converse(iPr_def_12),X0)) = composition(iPr_def_10,composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_467]) ).
tcf(c_15776,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_11,composition(converse(top),complement(composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4342,c_15012]) ).
tcf(c_15777,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_11,composition(converse(top),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4342,c_15012]) ).
tcf(c_15780,plain,
composition(converse(iPr_def_12),one) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_15752,c_4284]) ).
tcf(c_15785,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15777,c_470,c_2759]) ).
tcf(c_15786,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_11,composition(top,complement(composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15776,c_2759]) ).
tcf(c_15787,plain,
! [X0: $i] : join(composition(converse(iPr_def_11),X0),composition(converse(iPr_def_12),X0)) = composition(join(top,one),composition(converse(iPr_def_11),X0)),
inference(theory_normalisation,[status(thm)],[c_15767,c_64,c_63]) ).
tcf(c_15788,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_11),X0)),composition(top,complement(composition(converse(iPr_def_12),X0)))) = complement(composition(converse(iPr_def_11),X0)),
inference(light_normalisation,[status(thm)],[c_15768,c_2759]) ).
tcf(c_15789,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(converse(iPr_def_11),X0))) = composition(join(X1,top),composition(converse(iPr_def_11),X0)),
inference(theory_normalisation,[status(thm)],[c_15765,c_64,c_63]) ).
tcf(c_15934,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(X2,converse(complement(one)))))) = top,
inference(superposition,[status(thm)],[c_64,c_4866]) ).
tcf(c_15938,plain,
! [X0: $i] : join(one,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_2640,c_4866]) ).
tcf(c_15942,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(X0,join(X1,converse(complement(one)))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_4866,c_64]) ).
tcf(c_15945,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(X2,converse(complement(one)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_4866,c_209]) ).
tcf(c_15946,plain,
! [X0: $i,X1: $i] : join(X0,join(one,join(X1,converse(complement(one))))) = top,
inference(superposition,[status(thm)],[c_4866,c_209]) ).
tcf(c_15953,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,converse(complement(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_4866,c_1155]) ).
tcf(c_15957,plain,
! [X0: $i] : join(top,join(X0,one)) = top,
inference(theory_normalisation,[status(thm)],[c_15938,c_64,c_63]) ).
tcf(c_15959,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,converse(complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_15953,c_2759]) ).
tcf(c_15962,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(converse(complement(one)),X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_15942,c_64,c_63]) ).
tcf(c_16020,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(X0,complement(one))),X1)) = top,
inference(superposition,[status(thm)],[c_312,c_4932]) ).
tcf(c_16022,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(composition(X0,converse(X1)),converse(join(X2,complement(one))))) = top,
inference(superposition,[status(thm)],[c_354,c_4932]) ).
tcf(c_16023,plain,
! [X0: $i] : join(one,join(one,converse(join(X0,complement(one))))) = top,
inference(superposition,[status(thm)],[c_1155,c_4932]) ).
tcf(c_16042,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,converse(join(X0,join(X1,join(X2,complement(one)))))) = top,
inference(superposition,[status(thm)],[c_64,c_4932]) ).
tcf(c_16046,plain,
! [X0: $i] : join(one,converse(join(X0,top))) = top,
inference(superposition,[status(thm)],[c_2640,c_4932]) ).
tcf(c_16048,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(X0,join(X1,complement(one)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_4932,c_433]) ).
tcf(c_16049,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(join(X0,join(X1,complement(one)))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_4932,c_64]) ).
tcf(c_16050,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,converse(join(X1,join(X2,complement(one)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_4932,c_209]) ).
tcf(c_16052,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(one),join(X0,join(X1,complement(one)))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_4932,c_321]) ).
tcf(c_16053,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(one))),converse(one)) = converse(top),
inference(superposition,[status(thm)],[c_4932,c_264]) ).
tcf(c_16054,plain,
! [X0: $i,X1: $i] : join(converse(one),join(X0,join(X1,complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_4932,c_251]) ).
tcf(c_16055,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(one),join(X1,join(X2,complement(one)))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4932,c_382]) ).
tcf(c_16056,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(converse(one),join(X1,join(X2,complement(one)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4932,c_381]) ).
tcf(c_16057,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(one),join(X1,join(X2,complement(one))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_4932,c_325]) ).
tcf(c_16063,plain,
! [X0: $i,X1: $i] : join(one,converse(converse(join(X0,join(X1,complement(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_4932,c_1155]) ).
tcf(c_16068,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,join(X1,converse(one)))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_16054,c_64,c_63]) ).
tcf(c_16069,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,join(X1,one))) = top,
inference(light_normalisation,[status(thm)],[c_16068,c_1109,c_2759]) ).
tcf(c_16070,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_16069,c_64,c_63]) ).
tcf(c_16071,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(one),converse(one)))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_16053,c_64,c_63]) ).
tcf(c_16072,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(one),one))) = top,
inference(light_normalisation,[status(thm)],[c_16071,c_1109,c_2759]) ).
tcf(c_16073,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(one,complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_16072,c_64,c_63]) ).
tcf(c_16074,plain,
! [X0: $i,X1: $i] : join(one,converse(converse(join(X0,join(X1,complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_16063,c_2759]) ).
tcf(c_16075,plain,
! [X0: $i,X1: $i] : join(one,join(complement(top),converse(join(X0,join(X1,complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16048,c_64,c_63]) ).
tcf(c_16077,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,converse(join(X1,join(X2,complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_16050,c_2628]) ).
tcf(c_16078,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(complement(one),join(X1,join(X2,converse(one))))) = converse(composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_16057,c_64,c_63]) ).
tcf(c_16079,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(complement(one),join(X1,join(X2,one)))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_16078,c_1109,c_2778]) ).
tcf(c_16080,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(one,join(X1,join(X2,complement(one))))) = composition(converse(X0),top),
inference(theory_normalisation,[status(thm)],[c_16079,c_64,c_63]) ).
tcf(c_16081,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(complement(one),join(X0,join(X1,converse(one)))),converse(X2)) = converse(composition(X2,top)),
inference(theory_normalisation,[status(thm)],[c_16052,c_64,c_63]) ).
tcf(c_16082,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(complement(one),join(X0,join(X1,one))),converse(X2)) = converse(composition(X2,top)),
inference(light_normalisation,[status(thm)],[c_16081,c_1109]) ).
tcf(c_16083,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,join(X1,complement(one)))),converse(X2)) = converse(composition(X2,top)),
inference(theory_normalisation,[status(thm)],[c_16082,c_64,c_63]) ).
tcf(c_16084,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),join(X1,join(X2,converse(one)))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_16056,c_64,c_63]) ).
tcf(c_16085,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(complement(one),join(X1,join(X2,one))),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_16084,c_1109]) ).
tcf(c_16086,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(one,join(X1,join(X2,complement(one)))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_16085,c_64,c_63]) ).
tcf(c_16087,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(complement(one),join(X1,join(X2,converse(one)))),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_16055,c_64,c_63]) ).
tcf(c_16088,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(complement(one),join(X1,join(X2,one))),complement(composition(top,X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_16087,c_1109]) ).
tcf(c_16089,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,join(X1,join(X2,complement(one)))),complement(composition(top,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_16088,c_64,c_63]) ).
tcf(c_16108,plain,
composition(converse(complement(iPr_def_12)),composition(iPr_def_11,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_10708,c_10897]) ).
tcf(c_16109,plain,
composition(converse(complement(iPr_def_12)),composition(iPr_def_11,converse(iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_10707,c_10897]) ).
tcf(c_16113,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(iPr_def_12)),X0),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(superposition,[status(thm)],[c_10897,c_68]) ).
tcf(c_16114,plain,
! [X0: $i,X1: $i] : composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_12,X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10897,c_66]) ).
tcf(c_16115,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_12,X1)) = join(composition(X0,composition(iPr_def_12,X1)),zero),
inference(superposition,[status(thm)],[c_10897,c_68]) ).
tcf(c_16117,plain,
! [X0: $i] : composition(join(one,converse(complement(iPr_def_12))),composition(iPr_def_12,X0)) = join(composition(iPr_def_12,X0),zero),
inference(superposition,[status(thm)],[c_10897,c_1194]) ).
tcf(c_16118,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_10897,c_90]) ).
tcf(c_16119,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(complement(iPr_def_12),composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_10897,c_15012]) ).
tcf(c_16120,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(complement(iPr_def_12),complement(zero))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_10897,c_380]) ).
tcf(c_16121,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_10897,c_257]) ).
tcf(c_16122,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),complement(iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_16121,c_3363]) ).
tcf(c_16123,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),iPr_def_10) = complement(composition(iPr_def_12,X0)),
inference(light_normalisation,[status(thm)],[c_16120,c_3052,c_13680]) ).
tcf(c_16125,plain,
! [X0: $i] : composition(join(one,converse(complement(iPr_def_12))),composition(iPr_def_12,X0)) = join(zero,composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_16117,c_64,c_63]) ).
tcf(c_16129,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_12,X1)) = join(zero,composition(X0,composition(iPr_def_12,X1))),
inference(theory_normalisation,[status(thm)],[c_16115,c_64,c_63]) ).
tcf(c_16151,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),X0),composition(complement(iPr_def_12),X1)) = join(zero,composition(X0,composition(complement(iPr_def_12),X1))),
inference(superposition,[status(thm)],[c_10913,c_68]) ).
tcf(c_16152,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_12),composition(composition(complement(iPr_def_12),X0),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_10913,c_66]) ).
tcf(c_16153,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(complement(iPr_def_12),X1)) = join(composition(X0,composition(complement(iPr_def_12),X1)),zero),
inference(superposition,[status(thm)],[c_10913,c_68]) ).
tcf(c_16155,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(complement(iPr_def_12),X0)) = join(composition(complement(iPr_def_12),X0),zero),
inference(superposition,[status(thm)],[c_10913,c_1194]) ).
tcf(c_16156,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10913,c_90]) ).
tcf(c_16157,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(iPr_def_12,composition(converse(X1),complement(composition(X1,zero))))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10913,c_15012]) ).
tcf(c_16158,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(iPr_def_12,complement(zero))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10913,c_380]) ).
tcf(c_16159,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_10913,c_257]) ).
tcf(c_16160,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_16159,c_3363]) ).
tcf(c_16161,plain,
! [X0: $i] : join(composition(iPr_def_12,complement(zero)),complement(composition(complement(iPr_def_12),X0))) = complement(composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_16158,c_64,c_63]) ).
tcf(c_16163,plain,
! [X0: $i] : composition(join(one,converse(iPr_def_12)),composition(complement(iPr_def_12),X0)) = join(zero,composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_16155,c_64,c_63]) ).
tcf(c_16165,plain,
! [X0: $i] : join(complement(composition(complement(iPr_def_12),X0)),converse(converse(iPr_def_12))) = complement(composition(complement(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_16156,c_3052,c_11013]) ).
tcf(c_16166,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),complement(composition(complement(iPr_def_12),X0))) = complement(composition(complement(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_16165,c_64,c_63]) ).
tcf(c_16167,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(complement(iPr_def_12),X1)) = join(zero,composition(X0,composition(complement(iPr_def_12),X1))),
inference(theory_normalisation,[status(thm)],[c_16153,c_64,c_63]) ).
tcf(c_16194,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_11111]) ).
tcf(c_16221,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,X2)))) = top,
inference(superposition,[status(thm)],[c_209,c_11111]) ).
tcf(c_16226,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,iPr_def_11),top))) = top,
inference(superposition,[status(thm)],[c_504,c_11111]) ).
tcf(c_16227,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(iPr_def_11,X1),top))) = top,
inference(superposition,[status(thm)],[c_495,c_11111]) ).
tcf(c_16231,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,one),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1201,c_11111]) ).
tcf(c_16232,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(one,X1),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1194,c_11111]) ).
tcf(c_16240,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_12,X1)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_11111,c_64]) ).
tcf(c_16243,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,X2)))) = join(X0,top),
inference(superposition,[status(thm)],[c_11111,c_209]) ).
tcf(c_16244,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(iPr_def_12,X1))) = top,
inference(superposition,[status(thm)],[c_11111,c_209]) ).
tcf(c_16254,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(X1,X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_16240,c_64,c_63]) ).
tcf(c_16271,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),complement(top)) = join(X0,X1),
inference(superposition,[status(thm)],[c_433,c_6002]) ).
tcf(c_16285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,complement(join(X1,join(X2,join(X3,complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_64,c_6002]) ).
tcf(c_16289,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,top))) = X0,
inference(superposition,[status(thm)],[c_2640,c_6002]) ).
tcf(c_16290,plain,
! [X0: $i] : join(iPr_def_12,complement(join(X0,top))) = iPr_def_12,
inference(superposition,[status(thm)],[c_12679,c_6002]) ).
tcf(c_16291,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(complement(X0),X1),complement(join(X2,X0))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_4192,c_6002]) ).
tcf(c_16292,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,complement(X1)),complement(join(X2,X1))) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_4555,c_6002]) ).
tcf(c_16293,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_11,X0),complement(join(X1,iPr_def_10))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5031,c_6002]) ).
tcf(c_16294,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,X0),complement(join(X1,iPr_def_11))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_5033,c_6002]) ).
tcf(c_16295,plain,
! [X0: $i,X1: $i] : join(join(X0,iPr_def_11),complement(join(X1,iPr_def_10))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_5094,c_6002]) ).
tcf(c_16296,plain,
! [X0: $i,X1: $i] : join(join(X0,iPr_def_10),complement(join(X1,iPr_def_11))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_5167,c_6002]) ).
tcf(c_16297,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,iPr_def_11)),complement(join(X2,iPr_def_10))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_5222,c_6002]) ).
tcf(c_16298,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,iPr_def_10)),complement(join(X2,iPr_def_11))) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_5482,c_6002]) ).
tcf(c_16300,plain,
! [X0: $i] : join(iPr_def_12,complement(join(X0,complement(iPr_def_12)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13440,c_6002]) ).
tcf(c_16301,plain,
! [X0: $i] : join(sk1,complement(join(X0,complement(sk1)))) = sk1,
inference(superposition,[status(thm)],[c_13445,c_6002]) ).
tcf(c_16302,plain,
! [X0: $i] : join(sk1,complement(join(X0,top))) = sk1,
inference(superposition,[status(thm)],[c_13641,c_6002]) ).
tcf(c_16303,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(X1,join(X2,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2961,c_6002]) ).
tcf(c_16304,plain,
! [X0: $i,X1: $i] : join(top,complement(join(X0,join(X1,zero)))) = top,
inference(superposition,[status(thm)],[c_121,c_6002]) ).
tcf(c_16308,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(X0,join(X1,top)))) = zero,
inference(superposition,[status(thm)],[c_3052,c_6002]) ).
tcf(c_16310,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X1,join(X2,complement(X0)))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_6002,c_433]) ).
tcf(c_16311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(complement(join(X1,join(X2,complement(X0)))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_6002,c_64]) ).
tcf(c_16313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,complement(join(X2,join(X3,complement(join(X0,X1))))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_6002,c_64]) ).
tcf(c_16316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,complement(join(X2,join(X3,complement(X0)))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_6002,c_209]) ).
tcf(c_16317,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,complement(X2))),complement(X2)) = join(X0,join(X1,complement(X2))),
inference(superposition,[status(thm)],[c_6002,c_4555]) ).
tcf(c_16318,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,complement(X2))),X2) = top,
inference(superposition,[status(thm)],[c_6002,c_2636]) ).
tcf(c_16319,plain,
! [X0: $i,X1: $i] : complement(join(X0,join(X1,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_6002,c_2951]) ).
tcf(c_16322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(complement(join(X1,join(X2,complement(converse(X0))))))),converse(X3)) = converse(composition(X3,converse(X0))),
inference(superposition,[status(thm)],[c_6002,c_271]) ).
tcf(c_16324,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(complement(join(X1,join(X2,complement(converse(X0))))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_6002,c_250]) ).
tcf(c_16325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(X1),complement(composition(join(X1,converse(complement(join(X2,join(X3,complement(converse(X1))))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_6002,c_382]) ).
tcf(c_16326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(complement(join(X2,join(X3,complement(converse(X1))))))),complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_6002,c_381]) ).
tcf(c_16327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(complement(join(X2,join(X3,complement(converse(X1)))))))) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_6002,c_274]) ).
tcf(c_16328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(complement(join(X2,join(X3,complement(composition(X1,converse(X0)))))))) = converse(composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_6002,c_354]) ).
tcf(c_16333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,complement(X2))),complement(join(X3,X2))) = join(X0,join(X1,complement(X2))),
inference(superposition,[status(thm)],[c_6002,c_6002]) ).
tcf(c_16334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,complement(X2))),join(X3,X2)) = top,
inference(superposition,[status(thm)],[c_6002,c_3731]) ).
tcf(c_16341,plain,
! [X0: $i,X1: $i] : join(one,converse(complement(join(X0,join(X1,complement(one)))))) = converse(one),
inference(superposition,[status(thm)],[c_6002,c_1155]) ).
tcf(c_16348,plain,
! [X0: $i,X1: $i] : complement(join(X0,join(X1,top))) = zero,
inference(light_normalisation,[status(thm)],[c_16319,c_3052]) ).
tcf(c_16349,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_16318,c_64,c_63]) ).
tcf(c_16350,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(top))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16271,c_64,c_63]) ).
tcf(c_16353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_16334,c_64,c_63]) ).
tcf(c_16354,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,complement(join(X1,iPr_def_11)))) = join(X0,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_16296,c_64,c_63]) ).
tcf(c_16355,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,complement(join(X1,iPr_def_10)))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_16295,c_64,c_63]) ).
tcf(c_16356,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(X1,iPr_def_11)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_16294,c_64,c_63]) ).
tcf(c_16357,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,iPr_def_10)))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_16293,c_64,c_63]) ).
tcf(c_16358,plain,
! [X0: $i,X1: $i] : join(one,converse(complement(join(X0,join(X1,complement(one)))))) = one,
inference(light_normalisation,[status(thm)],[c_16341,c_1109]) ).
tcf(c_16359,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),complement(join(X1,join(X2,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16310,c_64,c_63]) ).
tcf(c_16360,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X1),complement(join(X2,X1)))) = join(X0,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_16292,c_64,c_63]) ).
tcf(c_16361,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(X2,X0)))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_16291,c_64,c_63]) ).
tcf(c_16362,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(complement(join(X1,join(X2,complement(converse(X0))))))) = X0,
inference(light_normalisation,[status(thm)],[c_16324,c_69]) ).
tcf(c_16365,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X2),complement(X2)))) = join(X0,join(X1,complement(X2))),
inference(theory_normalisation,[status(thm)],[c_16317,c_64,c_63]) ).
tcf(c_16366,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(iPr_def_10,complement(join(X2,iPr_def_11))))) = join(X0,join(X1,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_16298,c_64,c_63]) ).
tcf(c_16367,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(iPr_def_11,complement(join(X2,iPr_def_10))))) = join(X0,join(X1,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_16297,c_64,c_63]) ).
tcf(c_16368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(complement(X2),complement(join(X3,X2))))) = join(X0,join(X1,complement(X2))),
inference(theory_normalisation,[status(thm)],[c_16333,c_64,c_63]) ).
tcf(c_16471,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7572,c_12647]) ).
tcf(c_16489,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(complement(iPr_def_12),X1)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_63,c_16471]) ).
tcf(c_16491,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,complement(iPr_def_12)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_64,c_16471]) ).
tcf(c_16499,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(X1,complement(iPr_def_12)))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_16471,c_433]) ).
tcf(c_16500,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(complement(join(X0,join(X1,complement(iPr_def_12)))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_16471,c_64]) ).
tcf(c_16501,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(X2,complement(iPr_def_12)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_16471,c_209]) ).
tcf(c_16503,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_12))),complement(iPr_def_11)) = join(X0,join(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16471,c_4555]) ).
tcf(c_16504,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_12))),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_16471,c_2636]) ).
tcf(c_16508,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,complement(iPr_def_12))),complement(join(X2,iPr_def_11))) = join(X0,join(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16471,c_6002]) ).
tcf(c_16509,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,complement(iPr_def_12))),join(X2,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_16471,c_3731]) ).
tcf(c_16510,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_16504,c_64,c_63]) ).
tcf(c_16513,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(iPr_def_11,join(X2,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_16509,c_64,c_63]) ).
tcf(c_16514,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(X0,join(X1,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16499,c_64,c_63]) ).
tcf(c_16515,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(X0,join(X1,complement(iPr_def_12)))))) = top,
inference(light_normalisation,[status(thm)],[c_16514,c_2962]) ).
tcf(c_16516,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16515,c_64,c_63]) ).
tcf(c_16518,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(iPr_def_11),complement(iPr_def_12)))) = join(X0,join(X1,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_16503,c_64,c_63]) ).
tcf(c_16520,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(iPr_def_12),complement(join(X2,iPr_def_11))))) = join(X0,join(X1,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_16508,c_64,c_63]) ).
tcf(c_16532,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(X0,composition(X1,complement(composition(converse(composition(X0,X1)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_66,c_7811]) ).
tcf(c_16533,plain,
join(iPr_def_11,complement(composition(converse(one),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1118,c_7811]) ).
tcf(c_16535,plain,
join(iPr_def_11,composition(iPr_def_11,complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9601,c_7811]) ).
tcf(c_16536,plain,
join(iPr_def_11,composition(complement(composition(iPr_def_10,top)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7654,c_7811]) ).
tcf(c_16537,plain,
join(iPr_def_11,composition(iPr_def_12,complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12574,c_7811]) ).
tcf(c_16538,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_12,X0),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12852,c_7811]) ).
tcf(c_16539,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_11,X0),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12878,c_7811]) ).
tcf(c_16548,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(X0,join(converse(X1),X2)),complement(composition(composition(join(X1,converse(X2)),converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_271,c_7811]) ).
tcf(c_16549,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(join(converse(X0),X1),X2),complement(composition(composition(converse(X2),join(X0,converse(X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_274,c_7811]) ).
tcf(c_16550,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(X0,join(X1,converse(X2))),complement(composition(composition(join(converse(X1),X2),converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_321,c_7811]) ).
tcf(c_16551,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(join(X0,converse(X1)),X2),complement(composition(composition(converse(X2),join(converse(X0),X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_325,c_7811]) ).
tcf(c_16552,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,converse(X1)),X2),complement(composition(join(composition(X1,converse(X0)),converse(X2)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_354,c_7811]) ).
tcf(c_16553,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,composition(X1,converse(X2))),complement(composition(join(converse(X0),composition(X2,converse(X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_359,c_7811]) ).
tcf(c_16556,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),complement(composition(join(one,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1155,c_7811]) ).
tcf(c_16557,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),complement(composition(join(one,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1161,c_7811]) ).
tcf(c_16558,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,X0),complement(composition(composition(converse(X0),top),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2778,c_7811]) ).
tcf(c_16559,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(X0,top),complement(composition(composition(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2776,c_7811]) ).
tcf(c_16561,plain,
! [X0: $i] : join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_7811,c_433]) ).
tcf(c_16562,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_7811,c_64]) ).
tcf(c_16563,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(X1,complement(composition(converse(X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_7811,c_209]) ).
tcf(c_16570,plain,
join(iPr_def_11,complement(composition(one,iPr_def_10))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16533,c_1109]) ).
tcf(c_16574,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_16561,c_64,c_63]) ).
tcf(c_16575,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_16574,c_2962]) ).
tcf(c_16576,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_16575,c_64,c_63]) ).
tcf(c_16674,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,one)),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_64,c_11122]) ).
tcf(c_16675,plain,
join(iPr_def_10,composition(one,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_2951,c_11122]) ).
tcf(c_16677,plain,
join(iPr_def_10,composition(top,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_2640,c_11122]) ).
tcf(c_16679,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(X0,one),iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_11122,c_433]) ).
tcf(c_16680,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(X0,one),iPr_def_12),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_11122,c_64]) ).
tcf(c_16681,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,one),iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_11122,c_209]) ).
tcf(c_16684,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),composition(join(X0,one),iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_16679,c_64,c_63]) ).
tcf(c_16685,plain,
! [X0: $i] : join(iPr_def_10,join(zero,composition(join(X0,one),iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_16684,c_121]) ).
tcf(c_16691,plain,
join(iPr_def_10,join(composition(top,iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_16677,c_433]) ).
tcf(c_16692,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_16677,c_64]) ).
tcf(c_16693,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_16677,c_209]) ).
tcf(c_16696,plain,
join(iPr_def_10,join(complement(top),composition(top,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_16691,c_64,c_63]) ).
tcf(c_16698,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_16693,c_2628]) ).
tcf(c_16699,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_12),X0)) = top,
inference(light_normalisation,[status(thm)],[c_16692,c_2640]) ).
tcf(c_16706,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(one,X1)),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_209,c_11123]) ).
tcf(c_16714,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(X0,one),one),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_1201,c_11123]) ).
tcf(c_16715,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(one,X0),one),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_1194,c_11123]) ).
tcf(c_16729,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(one,X0),iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_11123,c_433]) ).
tcf(c_16730,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(one,X0),iPr_def_12),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_11123,c_64]) ).
tcf(c_16731,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(one,X1),iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_11123,c_209]) ).
tcf(c_16734,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),composition(join(one,X0),iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_16729,c_64,c_63]) ).
tcf(c_16735,plain,
! [X0: $i] : join(iPr_def_10,join(zero,composition(join(one,X0),iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_16734,c_121]) ).
tcf(c_16746,plain,
! [X0: $i,X1: $i] : composition(top,join(one,join(X0,X1))) = top,
inference(superposition,[status(thm)],[c_209,c_11159]) ).
tcf(c_16757,plain,
composition(top,join(iPr_def_11,one)) = top,
inference(superposition,[status(thm)],[c_6074,c_11159]) ).
tcf(c_16772,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(X0,join(X1,join(one,X2)))) = top,
inference(superposition,[status(thm)],[c_209,c_11159]) ).
tcf(c_16780,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,composition(join(X1,one),one))) = top,
inference(superposition,[status(thm)],[c_1201,c_11159]) ).
tcf(c_16781,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,composition(join(one,X1),one))) = top,
inference(superposition,[status(thm)],[c_1194,c_11159]) ).
tcf(c_16794,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(top,X0),join(X1,join(one,X2))) = join(top,composition(X0,join(X1,join(one,X2)))),
inference(superposition,[status(thm)],[c_11159,c_68]) ).
tcf(c_16795,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,composition(join(X0,join(one,X1)),X2)) = composition(top,X2),
inference(superposition,[status(thm)],[c_11159,c_66]) ).
tcf(c_16796,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,top),join(X1,join(one,X2))) = join(composition(X0,join(X1,join(one,X2))),top),
inference(superposition,[status(thm)],[c_11159,c_68]) ).
tcf(c_16798,plain,
! [X0: $i,X1: $i] : composition(join(one,top),join(X0,join(one,X1))) = join(join(X0,join(one,X1)),top),
inference(superposition,[status(thm)],[c_11159,c_1194]) ).
tcf(c_16799,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(one,X1))),composition(converse(top),complement(top))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11159,c_90]) ).
tcf(c_16800,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(one,X1))),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_11159,c_271]) ).
tcf(c_16801,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(one,X1))) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_11159,c_13682]) ).
tcf(c_16802,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(one,X1))) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_11159,c_9798]) ).
tcf(c_16803,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(one,X1))) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11159,c_9761]) ).
tcf(c_16805,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(one,X1))),top) = converse(top),
inference(superposition,[status(thm)],[c_11159,c_2778]) ).
tcf(c_16806,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(one,X1))) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_11159,c_470]) ).
tcf(c_16807,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(one,X1))) = composition(sk1,top),
inference(superposition,[status(thm)],[c_11159,c_467]) ).
tcf(c_16815,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(one,X1))),top) = top,
inference(light_normalisation,[status(thm)],[c_16800,c_2759]) ).
tcf(c_16816,plain,
! [X0: $i,X1: $i] : composition(join(top,one),join(X0,join(one,X1))) = join(X0,join(top,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_16798,c_64,c_63]) ).
tcf(c_16818,plain,
! [X0: $i,X1: $i] : join(composition(converse(top),complement(top)),complement(join(X0,join(one,X1)))) = complement(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_16799,c_64,c_63]) ).
tcf(c_16819,plain,
! [X0: $i,X1: $i] : join(composition(top,zero),complement(join(X0,join(one,X1)))) = complement(join(X0,join(one,X1))),
inference(light_normalisation,[status(thm)],[c_16818,c_121,c_2759]) ).
tcf(c_16820,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,top),join(X1,join(one,X2))) = join(top,composition(X0,join(X1,join(one,X2)))),
inference(theory_normalisation,[status(thm)],[c_16796,c_64,c_63]) ).
tcf(c_16821,plain,
! [X0: $i,X1: $i,X2: $i] : join(top,composition(X0,join(X1,join(one,X2)))) = composition(top,join(X1,join(one,X2))),
inference(light_normalisation,[status(thm)],[c_16820,c_2628]) ).
tcf(c_16880,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),X1)),X2) = join(X0,join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_69,c_422]) ).
tcf(c_16881,plain,
! [X0: $i,X1: $i] : join(converse(join(top,X0)),X1) = join(top,join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_2759,c_422]) ).
tcf(c_16882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(join(converse(X0),X1),X2)),X3) = join(join(converse(X1),X0),join(converse(X2),X3)),
inference(superposition,[status(thm)],[c_312,c_422]) ).
tcf(c_16883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(join(converse(X0),X1),X2)),X3) = join(join(X0,converse(X1)),join(converse(X2),X3)),
inference(superposition,[status(thm)],[c_250,c_422]) ).
tcf(c_16884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(join(X0,converse(X1)),X2)),X3) = join(join(X1,converse(X0)),join(converse(X2),X3)),
inference(superposition,[status(thm)],[c_264,c_422]) ).
tcf(c_16886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(composition(X0,converse(X1)),X2)),X3) = join(composition(X1,converse(X0)),join(converse(X2),X3)),
inference(superposition,[status(thm)],[c_256,c_422]) ).
tcf(c_16887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(composition(converse(X0),X1),X2)),X3) = join(composition(converse(X1),X0),join(converse(X2),X3)),
inference(superposition,[status(thm)],[c_257,c_422]) ).
tcf(c_16888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,converse(X1)),converse(X2)),join(converse(X3),X4)) = join(converse(join(composition(X2,join(converse(X0),X1)),X3)),X4),
inference(superposition,[status(thm)],[c_271,c_422]) ).
tcf(c_16889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(converse(X0),join(X1,converse(X2))),join(converse(X3),X4)) = join(converse(join(composition(join(converse(X1),X2),X0),X3)),X4),
inference(superposition,[status(thm)],[c_274,c_422]) ).
tcf(c_16890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(converse(X0),X1),converse(X2)),join(converse(X3),X4)) = join(converse(join(composition(X2,join(X0,converse(X1))),X3)),X4),
inference(superposition,[status(thm)],[c_321,c_422]) ).
tcf(c_16891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(converse(X0),join(converse(X1),X2)),join(converse(X3),X4)) = join(converse(join(composition(join(X1,converse(X2)),X0),X3)),X4),
inference(superposition,[status(thm)],[c_325,c_422]) ).
tcf(c_16892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(join(composition(X0,converse(X1)),converse(X2)),join(converse(X3),X4)) = join(converse(join(join(composition(X1,converse(X0)),X2),X3)),X4),
inference(superposition,[status(thm)],[c_354,c_422]) ).
tcf(c_16894,plain,
! [X0: $i,X1: $i] : join(converse(join(zero,X0)),X1) = join(zero,join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_3363,c_422]) ).
tcf(c_16895,plain,
! [X0: $i,X1: $i] : join(converse(join(one,X0)),X1) = join(one,join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1109,c_422]) ).
tcf(c_16896,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(one,converse(X0)),join(converse(X1),X2)) = join(converse(join(join(one,X0),X1)),X2),
inference(superposition,[status(thm)],[c_1155,c_422]) ).
tcf(c_16897,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(one,converse(X0)),join(converse(X1),X2)) = join(converse(join(join(X0,one),X1)),X2),
inference(superposition,[status(thm)],[c_1161,c_422]) ).
tcf(c_16898,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),top),join(converse(X1),X2)) = join(converse(join(composition(top,X0),X1)),X2),
inference(superposition,[status(thm)],[c_2778,c_422]) ).
tcf(c_16899,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(X0)),join(converse(X1),X2)) = join(converse(join(composition(X0,top),X1)),X2),
inference(superposition,[status(thm)],[c_2776,c_422]) ).
tcf(c_16900,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = join(converse(join(X0,X2)),X1),
inference(superposition,[status(thm)],[c_63,c_422]) ).
tcf(c_16903,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(X2)) = join(converse(X0),converse(join(X1,X2))),
inference(superposition,[status(thm)],[c_70,c_422]) ).
tcf(c_16904,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(X1))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_73,c_422]) ).
tcf(c_16905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(converse(join(X0,X2)),join(X1,X3)),
inference(superposition,[status(thm)],[c_209,c_422]) ).
tcf(c_16906,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),converse(complement(converse(converse(X1))))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_2767,c_422]) ).
tcf(c_16908,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),converse(X1)) = join(converse(X0),converse(X1)),
inference(superposition,[status(thm)],[c_3114,c_422]) ).
tcf(c_16909,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(X2,complement(join(converse(X1),X2)))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_433,c_422]) ).
tcf(c_16911,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),top) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_2628,c_422]) ).
tcf(c_16912,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),zero) = join(converse(X0),converse(X1)),
inference(superposition,[status(thm)],[c_3047,c_422]) ).
tcf(c_16913,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(X2,complement(converse(X1)))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_2636,c_422]) ).
tcf(c_16914,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),composition(X2,converse(X1))) = join(converse(X0),composition(join(X2,one),converse(X1))),
inference(superposition,[status(thm)],[c_1201,c_422]) ).
tcf(c_16915,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),composition(X2,converse(X1))) = join(converse(X0),composition(join(one,X2),converse(X1))),
inference(superposition,[status(thm)],[c_1194,c_422]) ).
tcf(c_16916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(X2,join(X3,complement(converse(X1))))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_3731,c_422]) ).
tcf(c_16917,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(converse(X1),X2)) = join(converse(X0),join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_3159,c_422]) ).
tcf(c_16918,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),complement(join(complement(converse(X1)),X2))) = join(converse(X0),converse(X1)),
inference(superposition,[status(thm)],[c_4192,c_422]) ).
tcf(c_16919,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),complement(join(X2,complement(converse(X1))))) = join(converse(X0),converse(X1)),
inference(superposition,[status(thm)],[c_4555,c_422]) ).
tcf(c_16920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),complement(join(X2,join(X3,complement(converse(X1)))))) = join(converse(X0),converse(X1)),
inference(superposition,[status(thm)],[c_6002,c_422]) ).
tcf(c_16921,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,converse(X1))),X2) = join(converse(X0),join(X1,X2)),
inference(superposition,[status(thm)],[c_69,c_422]) ).
tcf(c_16922,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,top)),X1) = join(converse(X0),join(top,X1)),
inference(superposition,[status(thm)],[c_2759,c_422]) ).
tcf(c_16923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(converse(X1),X2))),X3) = join(converse(X0),join(join(converse(X2),X1),X3)),
inference(superposition,[status(thm)],[c_312,c_422]) ).
tcf(c_16924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(converse(X1),X2))),X3) = join(converse(X0),join(join(X1,converse(X2)),X3)),
inference(superposition,[status(thm)],[c_250,c_422]) ).
tcf(c_16925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(X1,converse(X2)))),X3) = join(converse(X0),join(join(X2,converse(X1)),X3)),
inference(superposition,[status(thm)],[c_264,c_422]) ).
tcf(c_16926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(X1,converse(X2)))),X3) = join(converse(X0),join(join(converse(X1),X2),X3)),
inference(superposition,[status(thm)],[c_251,c_422]) ).
tcf(c_16927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,composition(X1,converse(X2)))),X3) = join(converse(X0),join(composition(X2,converse(X1)),X3)),
inference(superposition,[status(thm)],[c_256,c_422]) ).
tcf(c_16928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,composition(converse(X1),X2))),X3) = join(converse(X0),join(composition(converse(X2),X1),X3)),
inference(superposition,[status(thm)],[c_257,c_422]) ).
tcf(c_16929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(composition(join(X1,converse(X2)),converse(X3)),X4)) = join(converse(join(X0,composition(X3,join(converse(X1),X2)))),X4),
inference(superposition,[status(thm)],[c_271,c_422]) ).
tcf(c_16930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(composition(converse(X1),join(X2,converse(X3))),X4)) = join(converse(join(X0,composition(join(converse(X2),X3),X1))),X4),
inference(superposition,[status(thm)],[c_274,c_422]) ).
tcf(c_16931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(composition(join(converse(X1),X2),converse(X3)),X4)) = join(converse(join(X0,composition(X3,join(X1,converse(X2))))),X4),
inference(superposition,[status(thm)],[c_321,c_422]) ).
tcf(c_16932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(composition(converse(X1),join(converse(X2),X3)),X4)) = join(converse(join(X0,composition(join(X2,converse(X3)),X1))),X4),
inference(superposition,[status(thm)],[c_325,c_422]) ).
tcf(c_16933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(join(composition(X1,converse(X2)),converse(X3)),X4)) = join(converse(join(X0,join(composition(X2,converse(X1)),X3))),X4),
inference(superposition,[status(thm)],[c_354,c_422]) ).
tcf(c_16934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(join(converse(X1),composition(X2,converse(X3))),X4)) = join(converse(join(X0,join(X1,composition(X3,converse(X2))))),X4),
inference(superposition,[status(thm)],[c_359,c_422]) ).
tcf(c_16935,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,zero)),X1) = join(converse(X0),join(zero,X1)),
inference(superposition,[status(thm)],[c_3363,c_422]) ).
tcf(c_16936,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,one)),X1) = join(converse(X0),join(one,X1)),
inference(superposition,[status(thm)],[c_1109,c_422]) ).
tcf(c_16937,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(join(one,converse(X1)),X2)) = join(converse(join(X0,join(one,X1))),X2),
inference(superposition,[status(thm)],[c_1155,c_422]) ).
tcf(c_16938,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(join(one,converse(X1)),X2)) = join(converse(join(X0,join(X1,one))),X2),
inference(superposition,[status(thm)],[c_1161,c_422]) ).
tcf(c_16939,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(composition(converse(X1),top),X2)) = join(converse(join(X0,composition(top,X1))),X2),
inference(superposition,[status(thm)],[c_2778,c_422]) ).
tcf(c_16940,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(composition(top,converse(X1)),X2)) = join(converse(join(X0,composition(X1,top))),X2),
inference(superposition,[status(thm)],[c_2776,c_422]) ).
tcf(c_16941,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(join(X0,X1)),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_422,c_3159]) ).
tcf(c_16942,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(join(converse(X1),X2),complement(join(converse(join(X0,X1)),X2)))) = top,
inference(superposition,[status(thm)],[c_422,c_433]) ).
tcf(c_16944,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(X2)) = join(converse(join(X2,X0)),X1),
inference(superposition,[status(thm)],[c_422,c_63]) ).
tcf(c_16948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(X1,join(converse(join(X0,X2)),X3)),
inference(superposition,[status(thm)],[c_422,c_209]) ).
tcf(c_16949,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X1,X0)),X2),
inference(superposition,[status(thm)],[c_422,c_209]) ).
tcf(c_16950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(converse(X1),X2))),converse(X3)) = converse(composition(X3,join(converse(join(X0,X1)),X2))),
inference(superposition,[status(thm)],[c_422,c_271]) ).
tcf(c_16951,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),X1)),X2) = converse(join(converse(join(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_422,c_312]) ).
tcf(c_16952,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(converse(X1),X2))) = converse(join(converse(join(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_422,c_250]) ).
tcf(c_16953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(converse(X2),X3)) = join(converse(X0),join(converse(join(X1,X2)),X3)),
inference(superposition,[status(thm)],[c_422,c_422]) ).
tcf(c_16954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(join(X1,X2)),X3),complement(composition(join(X1,converse(join(converse(X2),X3))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_422,c_382]) ).
tcf(c_16955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(join(converse(X2),X3))),complement(composition(join(converse(join(X1,X2)),X3),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_422,c_381]) ).
tcf(c_16956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(converse(X2),X3)))) = converse(composition(join(converse(join(X1,X2)),X3),X0)),
inference(superposition,[status(thm)],[c_422,c_274]) ).
tcf(c_16957,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(join(converse(X0),converse(X1)))) = top,
inference(superposition,[status(thm)],[c_422,c_433]) ).
tcf(c_16958,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(X0))) = top,
inference(superposition,[status(thm)],[c_422,c_2636]) ).
tcf(c_16959,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(join(X0,X1)),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_422,c_11079]) ).
tcf(c_16960,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(converse(join(X0,X1)),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_422,c_5222]) ).
tcf(c_16961,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(join(X0,X1)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_422,c_2873]) ).
tcf(c_16962,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(converse(join(X0,X1)),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_422,c_11764]) ).
tcf(c_16963,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(converse(join(X0,X1)),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_422,c_11712]) ).
tcf(c_16966,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(complement(one),X0)),X1)) = top,
inference(superposition,[status(thm)],[c_422,c_3640]) ).
tcf(c_16967,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(converse(join(X1,X2)),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_422,c_6002]) ).
tcf(c_16968,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(join(X1,X2)),complement(X0))) = top,
inference(superposition,[status(thm)],[c_422,c_3731]) ).
tcf(c_16969,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(X2,complement(converse(X0)))) = top,
inference(superposition,[status(thm)],[c_422,c_3731]) ).
tcf(c_16970,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X0)),X1) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_422,c_3159]) ).
tcf(c_16971,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(converse(join(X1,X2)),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_422,c_3307]) ).
tcf(c_16972,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(converse(join(X0,X1)),join(X2,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_422,c_3307]) ).
tcf(c_16973,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(X0,X1)),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_422,c_4866]) ).
tcf(c_16974,plain,
! [X0: $i,X1: $i] : join(one,converse(join(converse(join(X0,X1)),complement(one)))) = top,
inference(superposition,[status(thm)],[c_422,c_4932]) ).
tcf(c_16975,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(converse(join(X0,X1)),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_422,c_5482]) ).
tcf(c_16976,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(converse(join(X0,X1)),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_422,c_16471]) ).
tcf(c_16977,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(join(X0,X1)),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_422,c_13712]) ).
tcf(c_16980,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(one,converse(join(X0,X1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_16963,c_64,c_63]) ).
tcf(c_16981,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(one,converse(join(X0,X1)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_16962,c_64,c_63]) ).
tcf(c_16982,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,converse(join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_16961,c_64,c_63]) ).
tcf(c_16983,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,converse(join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_16959,c_64,c_63]) ).
tcf(c_16984,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),converse(join(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_16958,c_64,c_63]) ).
tcf(c_16986,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(sk1),converse(join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_16977,c_64,c_63]) ).
tcf(c_16987,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_10,converse(join(X0,X1))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_16975,c_64,c_63]) ).
tcf(c_16989,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(iPr_def_11,converse(join(X0,X1))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_16960,c_64,c_63]) ).
tcf(c_16990,plain,
! [X0: $i,X1: $i] : join(top,converse(join(X0,X1))) = join(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_16911,c_64,c_63]) ).
tcf(c_16991,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(iPr_def_12),converse(join(X0,X1))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_16976,c_64,c_63]) ).
tcf(c_16992,plain,
! [X0: $i,X1: $i] : join(one,converse(join(complement(one),converse(join(X0,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_16974,c_64,c_63]) ).
tcf(c_16993,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(one)),converse(join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_16973,c_64,c_63]) ).
tcf(c_16994,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_16972,c_64,c_63]) ).
tcf(c_16995,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_16971,c_64,c_63]) ).
tcf(c_16996,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),join(X1,converse(join(X0,X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_16969,c_64,c_63]) ).
tcf(c_16997,plain,
! [X0: $i,X1: $i] : join(zero,converse(join(X0,X1))) = join(converse(X0),converse(X1)),
inference(theory_normalisation,[status(thm)],[c_16912,c_64,c_63]) ).
tcf(c_16999,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,one)),X1) = join(one,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_16936,c_64,c_63]) ).
tcf(c_17000,plain,
! [X0: $i,X1: $i] : join(join(one,converse(X0)),X1) = join(one,join(X1,converse(X0))),
inference(light_normalisation,[status(thm)],[c_16999,c_1161]) ).
tcf(c_17001,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,zero)),X1) = join(zero,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_16935,c_64,c_63]) ).
tcf(c_17002,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,converse(X1))) = join(converse(X1),X0),
inference(light_normalisation,[status(thm)],[c_17001,c_3047]) ).
tcf(c_17003,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,top)),X1) = join(top,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_16922,c_64,c_63]) ).
tcf(c_17004,plain,
! [X0: $i,X1: $i] : join(top,join(X0,converse(X1))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_17003,c_2628,c_2759]) ).
tcf(c_17005,plain,
! [X0: $i,X1: $i] : join(top,join(X0,converse(X1))) = top,
inference(light_normalisation,[status(thm)],[c_17004,c_2640]) ).
tcf(c_17006,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(join(X1,X0))) = join(converse(X1),converse(X0)),
inference(theory_normalisation,[status(thm)],[c_16908,c_64,c_63]) ).
tcf(c_17007,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),converse(join(X1,X0))) = join(top,converse(X1)),
inference(theory_normalisation,[status(thm)],[c_16904,c_64,c_63]) ).
tcf(c_17008,plain,
! [X0: $i,X1: $i] : join(join(one,converse(X0)),X1) = join(one,join(converse(X0),X1)),
inference(light_normalisation,[status(thm)],[c_16895,c_1155]) ).
tcf(c_17009,plain,
! [X0: $i,X1: $i] : join(zero,join(converse(X0),X1)) = join(converse(X0),X1),
inference(light_normalisation,[status(thm)],[c_16894,c_2951]) ).
tcf(c_17010,plain,
! [X0: $i,X1: $i] : join(top,join(converse(X0),X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_16881,c_2640,c_2759]) ).
tcf(c_17011,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = join(converse(join(X2,X0)),X1),
inference(theory_normalisation,[status(thm)],[c_16944,c_64,c_63]) ).
tcf(c_17012,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),X2) = join(converse(X1),join(X0,X2)),
inference(light_normalisation,[status(thm)],[c_16921,c_264]) ).
tcf(c_17013,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),X2) = join(X1,join(converse(X0),X2)),
inference(light_normalisation,[status(thm)],[c_16880,c_312]) ).
tcf(c_17015,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(join(X0,X1)),X2)) = join(join(converse(X2),X1),X0),
inference(light_normalisation,[status(thm)],[c_16951,c_312]) ).
tcf(c_17016,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(join(X0,X1)),X2)) = join(converse(X2),join(X1,X0)),
inference(theory_normalisation,[status(thm)],[c_17015,c_64,c_63]) ).
tcf(c_17017,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),join(X1,converse(join(X2,X0)))) = join(top,converse(X2)),
inference(theory_normalisation,[status(thm)],[c_16913,c_64,c_63]) ).
tcf(c_17019,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),converse(complement(converse(converse(X1))))) = join(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_16906,c_64,c_63]) ).
tcf(c_17020,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),join(X2,complement(join(converse(join(X0,X1)),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_16942,c_64,c_63]) ).
tcf(c_17021,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(join(X2,X0)))) = join(converse(X2),join(converse(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_16917,c_64,c_63]) ).
tcf(c_17022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(converse(X0)),join(X1,join(converse(join(X2,X0)),X3))) = join(top,converse(X2)),
inference(theory_normalisation,[status(thm)],[c_16916,c_64,c_63]) ).
tcf(c_17023,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(X2,complement(join(converse(X1),X2)))) = join(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_16909,c_64,c_63]) ).
tcf(c_17025,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(X1),converse(X2)))) = join(converse(join(X1,join(X2,one))),X0),
inference(theory_normalisation,[status(thm)],[c_16938,c_64,c_63]) ).
tcf(c_17026,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(X1),converse(X2)))) = join(converse(join(X1,join(one,X2))),X0),
inference(theory_normalisation,[status(thm)],[c_16937,c_64,c_63]) ).
tcf(c_17027,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(X0),join(converse(X1),X2))) = join(converse(join(X0,join(one,X1))),X2),
inference(theory_normalisation,[status(thm)],[c_16897,c_64,c_63]) ).
tcf(c_17028,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(one,converse(join(X0,X1))),X2) = join(one,join(converse(join(X0,X1)),X2)),
inference(light_normalisation,[status(thm)],[c_17027,c_422,c_1293]) ).
tcf(c_17029,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(X0),join(converse(X1),X2))) = join(converse(join(one,join(X0,X1))),X2),
inference(theory_normalisation,[status(thm)],[c_16896,c_64,c_63]) ).
tcf(c_17030,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(one,join(X0,X1))),X2) = join(one,join(converse(join(X0,X1)),X2)),
inference(light_normalisation,[status(thm)],[c_17029,c_422]) ).
tcf(c_17031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(X1,converse(X2)))),X3) = join(converse(X0),join(converse(X1),join(X2,X3))),
inference(theory_normalisation,[status(thm)],[c_16926,c_64,c_63]) ).
tcf(c_17032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(X1),join(X2,X3))) = join(join(X2,converse(join(X0,X1))),X3),
inference(light_normalisation,[status(thm)],[c_17031,c_1414]) ).
tcf(c_17033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(X1),join(X2,X3))) = join(X2,join(converse(join(X0,X1)),X3)),
inference(theory_normalisation,[status(thm)],[c_17032,c_64,c_63]) ).
tcf(c_17034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(X1,converse(X2)))),X3) = join(converse(X0),join(X2,join(converse(X1),X3))),
inference(theory_normalisation,[status(thm)],[c_16925,c_64,c_63]) ).
tcf(c_17035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(join(X1,converse(join(X0,X2))),X3),
inference(light_normalisation,[status(thm)],[c_17034,c_1414]) ).
tcf(c_17037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(converse(X1),X2))),X3) = join(converse(X0),join(X1,join(converse(X2),X3))),
inference(theory_normalisation,[status(thm)],[c_16924,c_64,c_63]) ).
tcf(c_17038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(join(converse(join(X0,X2)),X1),X3),
inference(light_normalisation,[status(thm)],[c_17037,c_1477]) ).
tcf(c_17040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(converse(X1),X2))),X3) = join(converse(X0),join(converse(X2),join(X1,X3))),
inference(theory_normalisation,[status(thm)],[c_16923,c_64,c_63]) ).
tcf(c_17041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(X1),join(X2,X3))) = join(join(converse(join(X0,X1)),X2),X3),
inference(light_normalisation,[status(thm)],[c_17040,c_1477]) ).
tcf(c_17042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(X1),join(X2,X3))) = join(converse(join(X0,X1)),join(X2,X3)),
inference(theory_normalisation,[status(thm)],[c_17041,c_64,c_63]) ).
tcf(c_17046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,join(converse(X1),X2))),X3) = join(X1,join(converse(X0),join(converse(X2),X3))),
inference(theory_normalisation,[status(thm)],[c_16884,c_64,c_63]) ).
tcf(c_17047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(converse(X1),join(converse(X2),X3))) = join(join(converse(join(X1,X2)),X0),X3),
inference(light_normalisation,[status(thm)],[c_17046,c_1477]) ).
tcf(c_17048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(converse(X1),join(converse(X2),X3))) = join(converse(join(X1,X2)),join(X0,X3)),
inference(theory_normalisation,[status(thm)],[c_17047,c_64,c_63]) ).
tcf(c_17049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(converse(X0),join(X1,X2))),X3) = join(X0,join(converse(X1),join(converse(X2),X3))),
inference(theory_normalisation,[status(thm)],[c_16883,c_64,c_63]) ).
tcf(c_17050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(converse(X1),join(converse(X2),X3))) = join(join(converse(join(X2,X1)),X0),X3),
inference(light_normalisation,[status(thm)],[c_17049,c_1524]) ).
tcf(c_17051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(converse(X1),join(converse(X2),X3))) = join(converse(join(X2,X1)),join(X0,X3)),
inference(theory_normalisation,[status(thm)],[c_17050,c_64,c_63]) ).
tcf(c_17052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(converse(X0),join(X1,X2))),X3) = join(converse(X1),join(X0,join(converse(X2),X3))),
inference(theory_normalisation,[status(thm)],[c_16882,c_64,c_63]) ).
tcf(c_17053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(join(converse(join(X2,X0)),X1),X3),
inference(light_normalisation,[status(thm)],[c_17052,c_1524]) ).
tcf(c_17054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(converse(X2),X3))) = join(converse(join(X2,X0)),join(X1,X3)),
inference(theory_normalisation,[status(thm)],[c_17053,c_64,c_63]) ).
tcf(c_17055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(converse(X1),join(composition(X2,converse(X3)),X4))) = join(converse(join(X0,join(X1,composition(X3,converse(X2))))),X4),
inference(theory_normalisation,[status(thm)],[c_16934,c_64,c_63]) ).
tcf(c_17056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(converse(X1),join(composition(X2,converse(X3)),X4))) = join(join(converse(join(X0,X1)),composition(X2,converse(X3))),X4),
inference(light_normalisation,[status(thm)],[c_17055,c_13118]) ).
tcf(c_17057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(converse(X1),join(composition(X2,converse(X3)),X4))) = join(converse(join(X0,X1)),join(composition(X2,converse(X3)),X4)),
inference(theory_normalisation,[status(thm)],[c_17056,c_64,c_63]) ).
tcf(c_17058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),join(composition(X1,converse(X2)),join(converse(X3),X4))) = join(converse(join(X0,join(composition(X2,converse(X1)),X3))),X4),
inference(theory_normalisation,[status(thm)],[c_16933,c_64,c_63]) ).
tcf(c_17060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,converse(X1)),join(converse(X2),join(converse(X3),X4))) = join(converse(join(composition(X1,converse(X0)),join(X2,X3))),X4),
inference(theory_normalisation,[status(thm)],[c_16892,c_64,c_63]) ).
tcf(c_17213,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_66,c_7885]) ).
tcf(c_17214,plain,
join(complement(one),complement(converse(one))) = complement(one),
inference(superposition,[status(thm)],[c_1118,c_7885]) ).
tcf(c_17224,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(X0,join(converse(X1),X2)),complement(composition(join(X1,converse(X2)),converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_271,c_7885]) ).
tcf(c_17225,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(join(converse(X0),X1),X2),complement(composition(converse(X2),join(X0,converse(X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_274,c_7885]) ).
tcf(c_17226,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(X0,join(X1,converse(X2))),complement(composition(join(converse(X1),X2),converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_321,c_7885]) ).
tcf(c_17227,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(composition(join(X0,converse(X1)),X2),complement(composition(converse(X2),join(converse(X0),X1))))) = complement(one),
inference(superposition,[status(thm)],[c_325,c_7885]) ).
tcf(c_17228,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(composition(X0,converse(X1)),X2),complement(join(composition(X1,converse(X0)),converse(X2))))) = complement(one),
inference(superposition,[status(thm)],[c_354,c_7885]) ).
tcf(c_17229,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(X0,composition(X1,converse(X2))),complement(join(converse(X0),composition(X2,converse(X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_359,c_7885]) ).
tcf(c_17232,plain,
! [X0: $i] : join(complement(one),composition(join(one,X0),complement(join(one,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_1155,c_7885]) ).
tcf(c_17233,plain,
! [X0: $i] : join(complement(one),composition(join(X0,one),complement(join(one,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_1161,c_7885]) ).
tcf(c_17234,plain,
! [X0: $i] : join(complement(one),composition(composition(top,X0),complement(composition(converse(X0),top)))) = complement(one),
inference(superposition,[status(thm)],[c_2778,c_7885]) ).
tcf(c_17235,plain,
! [X0: $i] : join(complement(one),composition(composition(X0,top),complement(composition(top,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_2776,c_7885]) ).
tcf(c_17237,plain,
! [X0: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_7885,c_433]) ).
tcf(c_17238,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),X1)) = join(complement(one),X1),
inference(superposition,[status(thm)],[c_7885,c_64]) ).
tcf(c_17242,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(X1,complement(converse(X1))))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_7885,c_209]) ).
tcf(c_17246,plain,
! [X0: $i] : join(complement(one),join(complement(complement(one)),composition(X0,complement(converse(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_17237,c_64,c_63]) ).
tcf(c_17285,plain,
! [X0: $i] : composition(zero,composition(join(sk1,one),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_8323,c_10822]) ).
tcf(c_17296,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(one,join(X0,X1))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_11578]) ).
tcf(c_17307,plain,
composition(iPr_def_10,join(iPr_def_11,one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_6074,c_11578]) ).
tcf(c_17322,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(X1,join(one,X2)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_11578]) ).
tcf(c_17330,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,composition(join(X1,one),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1201,c_11578]) ).
tcf(c_17331,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,composition(join(one,X1),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_11578]) ).
tcf(c_17344,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,X0),join(X1,join(one,X2))) = join(iPr_def_10,composition(X0,join(X1,join(one,X2)))),
inference(superposition,[status(thm)],[c_11578,c_68]) ).
tcf(c_17345,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,composition(join(X0,join(one,X1)),X2)) = composition(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_11578,c_66]) ).
tcf(c_17346,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_10),join(X1,join(one,X2))) = join(composition(X0,join(X1,join(one,X2))),iPr_def_10),
inference(superposition,[status(thm)],[c_11578,c_68]) ).
tcf(c_17348,plain,
! [X0: $i,X1: $i] : composition(join(one,iPr_def_10),join(X0,join(one,X1))) = join(join(X0,join(one,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_11578,c_1194]) ).
tcf(c_17349,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(one,X1))),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11578,c_90]) ).
tcf(c_17350,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(one,X1))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11578,c_271]) ).
tcf(c_17356,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,one),join(X0,join(one,X1))) = join(X0,join(iPr_def_10,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_17348,c_64,c_63]) ).
tcf(c_17358,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),complement(join(X0,join(one,X1)))) = complement(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_17349,c_64,c_63]) ).
tcf(c_17359,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(X0,join(one,X1)))) = complement(join(X0,join(one,X1))),
inference(light_normalisation,[status(thm)],[c_17358,c_3111,c_9596]) ).
tcf(c_17360,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_10),join(X1,join(one,X2))) = join(iPr_def_10,composition(X0,join(X1,join(one,X2)))),
inference(theory_normalisation,[status(thm)],[c_17346,c_64,c_63]) ).
tcf(c_17373,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_209,c_11604]) ).
tcf(c_17381,plain,
! [X0: $i] : composition(composition(join(X0,one),one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1201,c_11604]) ).
tcf(c_17382,plain,
! [X0: $i] : composition(composition(join(one,X0),one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1194,c_11604]) ).
tcf(c_17394,plain,
composition(one,converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_6002,c_11604]) ).
tcf(c_17395,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_11604,c_68]) ).
tcf(c_17396,plain,
! [X0: $i,X1: $i] : composition(join(one,X0),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_11604,c_66]) ).
tcf(c_17397,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_68]) ).
tcf(c_17398,plain,
! [X0: $i] : composition(join(join(one,X0),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_1201]) ).
tcf(c_17399,plain,
! [X0: $i] : composition(join(one,join(one,X0)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_1194]) ).
tcf(c_17400,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(one,X0)),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_90]) ).
tcf(c_17401,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(one,X0))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_256]) ).
tcf(c_17402,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(join(one,X0))),converse(X1)) = converse(join(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_11604,c_354]) ).
tcf(c_17403,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(join(converse(one),X0),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_382]) ).
tcf(c_17404,plain,
! [X0: $i] : composition(converse(converse(iPr_def_10)),join(converse(one),X0)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_325]) ).
tcf(c_17405,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(iPr_def_10,converse(join(one,X1)))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_11604,c_359]) ).
tcf(c_17406,plain,
! [X0: $i] : composition(iPr_def_10,join(one,converse(X0))) = converse(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17401,c_1155]) ).
tcf(c_17407,plain,
! [X0: $i] : composition(converse(converse(iPr_def_10)),join(one,X0)) = converse(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17404,c_1109]) ).
tcf(c_17408,plain,
! [X0: $i] : composition(join(one,join(X0,one)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_17398,c_64,c_63]) ).
tcf(c_17409,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,join(one,converse(X0))),converse(X1)) = converse(join(converse(iPr_def_10),X1)),
inference(light_normalisation,[status(thm)],[c_17402,c_1155]) ).
tcf(c_17410,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(join(one,X0),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17403,c_1109]) ).
tcf(c_17411,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(join(one,converse(X0)),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17400,c_1155]) ).
tcf(c_17412,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_17397,c_64,c_63]) ).
tcf(c_17414,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_17395,c_64,c_63]) ).
tcf(c_17457,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(one,join(X0,X1))) = iPr_def_12,
inference(superposition,[status(thm)],[c_209,c_11650]) ).
tcf(c_17468,plain,
composition(iPr_def_12,join(iPr_def_11,one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_6074,c_11650]) ).
tcf(c_17483,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(X1,join(one,X2)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_209,c_11650]) ).
tcf(c_17491,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,composition(join(X1,one),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_1201,c_11650]) ).
tcf(c_17492,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,composition(join(one,X1),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_1194,c_11650]) ).
tcf(c_17505,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_12,X0),join(X1,join(one,X2))) = join(iPr_def_12,composition(X0,join(X1,join(one,X2)))),
inference(superposition,[status(thm)],[c_11650,c_68]) ).
tcf(c_17506,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,composition(join(X0,join(one,X1)),X2)) = composition(iPr_def_12,X2),
inference(superposition,[status(thm)],[c_11650,c_66]) ).
tcf(c_17507,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_12),join(X1,join(one,X2))) = join(composition(X0,join(X1,join(one,X2))),iPr_def_12),
inference(superposition,[status(thm)],[c_11650,c_68]) ).
tcf(c_17509,plain,
! [X0: $i,X1: $i] : composition(join(one,iPr_def_12),join(X0,join(one,X1))) = join(join(X0,join(one,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_11650,c_1194]) ).
tcf(c_17510,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(one,X1))),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11650,c_90]) ).
tcf(c_17511,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(one,X1))),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11650,c_271]) ).
tcf(c_17518,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,one),join(X0,join(one,X1))) = join(X0,join(iPr_def_12,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_17509,c_64,c_63]) ).
tcf(c_17520,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),complement(join(X0,join(one,X1)))) = complement(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_17510,c_64,c_63]) ).
tcf(c_17522,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,iPr_def_12),join(X1,join(one,X2))) = join(iPr_def_12,composition(X0,join(X1,join(one,X2)))),
inference(theory_normalisation,[status(thm)],[c_17507,c_64,c_63]) ).
tcf(c_17537,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(complement(complement(X0))))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_73,c_424]) ).
tcf(c_17538,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_90,c_424]) ).
tcf(c_17539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(complement(X1),X2))),join(complement(join(complement(X1),complement(join(X0,X2)))),X3)) = join(X1,X3),
inference(superposition,[status(thm)],[c_209,c_424]) ).
tcf(c_17540,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2767,c_424]) ).
tcf(c_17541,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_424]) ).
tcf(c_17542,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(composition(X1,complement(composition(converse(X1),X0)))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_380,c_424]) ).
tcf(c_17543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0)))))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_381,c_424]) ).
tcf(c_17544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0)))))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_382,c_424]) ).
tcf(c_17545,plain,
! [X0: $i,X1: $i] : join(complement(complement(one)),join(complement(join(complement(one),complement(composition(converse(X0),complement(X0))))),X1)) = join(one,X1),
inference(superposition,[status(thm)],[c_385,c_424]) ).
tcf(c_17546,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1)))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_433,c_424]) ).
tcf(c_17547,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(complement(join(complement(X0),complement(join(complement(complement(X0)),X1)))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_2645,c_424]) ).
tcf(c_17549,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(top))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2628,c_424]) ).
tcf(c_17550,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(zero))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3047,c_424]) ).
tcf(c_17551,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(complement(join(complement(X0),complement(join(X1,complement(complement(X0)))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_2636,c_424]) ).
tcf(c_17552,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),complement(X1))),join(complement(join(complement(X1),complement(composition(X0,complement(X1))))),X2)) = join(X1,X2),
inference(superposition,[status(thm)],[c_1201,c_424]) ).
tcf(c_17553,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),complement(X1))),join(complement(join(complement(X1),complement(composition(X0,complement(X1))))),X2)) = join(X1,X2),
inference(superposition,[status(thm)],[c_1194,c_424]) ).
tcf(c_17554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(top),join(complement(join(complement(X0),complement(join(X1,join(X2,complement(complement(X0))))))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_3731,c_424]) ).
tcf(c_17555,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(join(complement(X0),X1)))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_3159,c_424]) ).
tcf(c_17556,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(join(complement(complement(X0)),X1))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4192,c_424]) ).
tcf(c_17557,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(join(X1,complement(complement(X0))))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4555,c_424]) ).
tcf(c_17558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(join(X1,join(X2,complement(complement(X0)))))))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_6002,c_424]) ).
tcf(c_17559,plain,
! [X0: $i,X1: $i] : join(complement(complement(one)),join(complement(join(complement(one),complement(composition(X0,complement(converse(X0)))))),X1)) = join(one,X1),
inference(superposition,[status(thm)],[c_7885,c_424]) ).
tcf(c_17560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0)))))))),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_15012,c_424]) ).
tcf(c_17570,plain,
! [X0: $i,X1: $i] : join(X0,complement(complement(join(complement(X0),complement(X1))))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_73,c_424]) ).
tcf(c_17571,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(X2)))))) = join(complement(join(complement(X0),X2)),complement(join(complement(X0),complement(X2)))),
inference(superposition,[status(thm)],[c_90,c_424]) ).
tcf(c_17572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(complement(X0),X1)),join(X2,join(complement(join(complement(X0),complement(X1))),X3))) = join(X0,join(X2,X3)),
inference(superposition,[status(thm)],[c_209,c_424]) ).
tcf(c_17573,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(converse(complement(join(complement(X0),complement(X1))))))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_2767,c_424]) ).
tcf(c_17574,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[status(thm)],[c_3114,c_424]) ).
tcf(c_17575,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(X1,complement(composition(converse(X1),join(complement(X0),complement(X2)))))) = join(complement(join(complement(X0),X2)),complement(join(complement(X0),complement(X2)))),
inference(superposition,[status(thm)],[c_380,c_424]) ).
tcf(c_17576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),join(complement(X0),complement(X3)))))) = join(complement(join(complement(X0),X3)),complement(join(complement(X0),complement(X3)))),
inference(superposition,[status(thm)],[c_381,c_424]) ).
tcf(c_17577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),join(complement(X0),complement(X3)))))) = join(complement(join(complement(X0),X3)),complement(join(complement(X0),complement(X3)))),
inference(superposition,[status(thm)],[c_382,c_424]) ).
tcf(c_17578,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(join(complement(X0),complement(X2))),X1)))) = join(complement(join(complement(X0),X2)),top),
inference(superposition,[status(thm)],[c_433,c_424]) ).
tcf(c_17579,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(complement(join(complement(X0),complement(X1)))),X2)) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_2645,c_424]) ).
tcf(c_17581,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),top) = join(X0,top),
inference(superposition,[status(thm)],[c_2628,c_424]) ).
tcf(c_17582,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,zero),
inference(superposition,[status(thm)],[c_3047,c_424]) ).
tcf(c_17583,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(complement(join(complement(X0),complement(X2)))))) = join(complement(join(complement(X0),X2)),top),
inference(superposition,[status(thm)],[c_2636,c_424]) ).
tcf(c_17584,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),composition(join(X2,one),complement(join(complement(X0),complement(X1))))) = join(X0,composition(X2,complement(join(complement(X0),complement(X1))))),
inference(superposition,[status(thm)],[c_1201,c_424]) ).
tcf(c_17585,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),composition(join(one,X2),complement(join(complement(X0),complement(X1))))) = join(X0,composition(X2,complement(join(complement(X0),complement(X1))))),
inference(superposition,[status(thm)],[c_1194,c_424]) ).
tcf(c_17586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,complement(complement(join(complement(X0),complement(X3))))))) = join(complement(join(complement(X0),X3)),top),
inference(superposition,[status(thm)],[c_3731,c_424]) ).
tcf(c_17587,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[status(thm)],[c_3159,c_424]) ).
tcf(c_17588,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(complement(join(complement(X0),complement(X1)))),X2))),
inference(superposition,[status(thm)],[c_4192,c_424]) ).
tcf(c_17589,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(X2,complement(complement(join(complement(X0),complement(X1))))))),
inference(superposition,[status(thm)],[c_4555,c_424]) ).
tcf(c_17590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,complement(join(X1,join(X2,complement(complement(join(complement(X0),complement(X3)))))))) = join(complement(join(complement(X0),X3)),complement(join(complement(X0),complement(X3)))),
inference(superposition,[status(thm)],[c_6002,c_424]) ).
tcf(c_17591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),join(complement(X0),complement(X3)))))))) = join(complement(join(complement(X0),X3)),complement(join(complement(X0),complement(X3)))),
inference(superposition,[status(thm)],[c_15012,c_424]) ).
tcf(c_17594,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_73,c_424]) ).
tcf(c_17595,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3114,c_424]) ).
tcf(c_17596,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),join(complement(complement(X0)),X1))),join(complement(complement(X0)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4192,c_424]) ).
tcf(c_17597,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),join(X1,complement(complement(X0))))),join(complement(complement(X0)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_4555,c_424]) ).
tcf(c_17598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(complement(X0),join(X1,join(X2,complement(complement(X0)))))),join(complement(complement(X0)),X3)) = join(X0,X3),
inference(superposition,[status(thm)],[c_6002,c_424]) ).
tcf(c_17599,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,X1)),join(complement(join(X0,complement(X1))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_2961,c_424]) ).
tcf(c_17603,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,X0)),join(complement(join(iPr_def_10,complement(X0))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_2962,c_424]) ).
tcf(c_17604,plain,
! [X0: $i,X1: $i] : join(complement(join(top,X0)),join(complement(join(top,complement(X0))),X1)) = join(zero,X1),
inference(superposition,[status(thm)],[c_3052,c_424]) ).
tcf(c_17605,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_2961,c_424]) ).
tcf(c_17606,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),top)),join(complement(join(complement(X0),zero)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_121,c_424]) ).
tcf(c_17609,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),iPr_def_11)),join(complement(join(complement(X0),iPr_def_10)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2962,c_424]) ).
tcf(c_17610,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),zero)),join(complement(join(complement(X0),top)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3052,c_424]) ).
tcf(c_17611,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(X0,X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_424,c_3159]) ).
tcf(c_17612,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(join(complement(join(complement(X0),complement(X1))),X2),complement(join(X0,X2)))) = top,
inference(superposition,[status(thm)],[c_424,c_433]) ).
tcf(c_17615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,X1)),join(complement(join(complement(join(complement(X0),X2)),complement(join(complement(join(complement(X0),complement(X2))),X1)))),X3)) = join(join(complement(X0),X2),X3),
inference(superposition,[status(thm)],[c_424,c_424]) ).
tcf(c_17616,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(complement(X0),X1),complement(join(X0,X2))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_424,c_4192]) ).
tcf(c_17618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(complement(X0),X1)),join(X2,join(complement(join(complement(X0),complement(X1))),X3))) = join(X2,join(X0,X3)),
inference(superposition,[status(thm)],[c_424,c_209]) ).
tcf(c_17619,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))) = top,
inference(superposition,[status(thm)],[c_424,c_433]) ).
tcf(c_17620,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),complement(complement(X1)))),X2)) = join(complement(join(complement(X0),X1)),join(X0,X2)),
inference(superposition,[status(thm)],[c_424,c_424]) ).
tcf(c_17621,plain,
! [X0: $i,X1: $i] : join(X0,complement(complement(join(complement(X0),X1)))) = top,
inference(superposition,[status(thm)],[c_424,c_2636]) ).
tcf(c_17631,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(complement(join(complement(X0),X2))))) = top,
inference(superposition,[status(thm)],[c_424,c_3731]) ).
tcf(c_17640,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),X1))) = join(X0,top),
inference(theory_normalisation,[status(thm)],[c_17581,c_64,c_63]) ).
tcf(c_17641,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),X1))) = top,
inference(light_normalisation,[status(thm)],[c_17640,c_2628]) ).
tcf(c_17642,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),X2)))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17611,c_64,c_63]) ).
tcf(c_17643,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(X0,X2)))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_17616,c_64,c_63]) ).
tcf(c_17644,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17595,c_64,c_63]) ).
tcf(c_17646,plain,
! [X0: $i,X1: $i] : join(complement(top),join(X0,complement(join(complement(X1),complement(X1))))) = join(X1,X0),
inference(theory_normalisation,[status(thm)],[c_17594,c_64,c_63]) ).
tcf(c_17648,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),zero)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17549,c_121]) ).
tcf(c_17649,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(zero,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17648,c_64,c_63]) ).
tcf(c_17650,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(top,complement(X0))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_17604,c_121,c_2640]) ).
tcf(c_17652,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),top)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17550,c_2961,c_3052]) ).
tcf(c_17653,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(top,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17652,c_64,c_63]) ).
tcf(c_17654,plain,
! [X0: $i,X1: $i] : join(complement(join(top,complement(X0))),join(X1,complement(join(zero,complement(X0))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17610,c_64,c_63]) ).
tcf(c_17655,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,complement(X0))),join(X1,complement(join(iPr_def_11,complement(X0))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17609,c_64,c_63]) ).
tcf(c_17657,plain,
! [X0: $i,X1: $i] : join(complement(join(top,complement(X0))),join(complement(join(zero,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17606,c_64,c_63]) ).
tcf(c_17658,plain,
! [X0: $i,X1: $i] : join(X0,complement(complement(join(complement(X0),complement(X1))))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_17570,c_64,c_63]) ).
tcf(c_17659,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),X0)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17541,c_2961]) ).
tcf(c_17660,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X0,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17659,c_64,c_63]) ).
tcf(c_17663,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))) = join(X0,X2),
inference(theory_normalisation,[status(thm)],[c_17605,c_64,c_63]) ).
tcf(c_17664,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(X1,complement(join(complement(X0),join(X2,complement(complement(X0))))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17597,c_64,c_63]) ).
tcf(c_17665,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),join(X2,X0))))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17664,c_2961]) ).
tcf(c_17666,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X0,join(X2,complement(X0)))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17665,c_64,c_63]) ).
tcf(c_17667,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(X1,complement(join(complement(X0),join(complement(complement(X0)),X2))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17596,c_64,c_63]) ).
tcf(c_17668,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),join(X0,X2))))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17667,c_2961]) ).
tcf(c_17670,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(complement(join(complement(X0),complement(X2)))))) = join(top,complement(join(complement(X0),X2))),
inference(theory_normalisation,[status(thm)],[c_17583,c_64,c_63]) ).
tcf(c_17671,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(complement(join(complement(X0),complement(X1)))),X2)) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_17579,c_64,c_63]) ).
tcf(c_17672,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(converse(complement(join(complement(X0),complement(X1))))))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_17573,c_64,c_63]) ).
tcf(c_17675,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17540,c_121]) ).
tcf(c_17676,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),complement(complement(X1)))),X2)) = join(X0,join(X2,complement(join(complement(X0),X1)))),
inference(theory_normalisation,[status(thm)],[c_17620,c_64,c_63]) ).
tcf(c_17677,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),join(X2,complement(join(X0,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_17612,c_64,c_63]) ).
tcf(c_17678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(complement(X0)),join(X1,complement(join(complement(X0),join(X2,join(X3,complement(complement(X0)))))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17598,c_64,c_63]) ).
tcf(c_17679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,complement(join(complement(X0),join(X2,join(X3,X0)))))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_17678,c_2961]) ).
tcf(c_17680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,complement(join(X0,join(X2,join(complement(X0),X3)))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_17679,c_64,c_63]) ).
tcf(c_17681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,complement(complement(join(complement(X0),complement(X3))))))) = join(top,complement(join(complement(X0),X3))),
inference(theory_normalisation,[status(thm)],[c_17586,c_64,c_63]) ).
tcf(c_17683,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(join(complement(X0),complement(X2))),X1)))) = join(top,complement(join(complement(X0),X2))),
inference(theory_normalisation,[status(thm)],[c_17578,c_64,c_63]) ).
tcf(c_17687,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1)))))),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_17546,c_121]) ).
tcf(c_17692,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_17587,c_424]) ).
tcf(c_17693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(complement(join(complement(X0),complement(composition(X1,composition(converse(X2),complement(composition(X2,composition(converse(X1),X0)))))))),X3)) = join(X0,X3),
inference(light_normalisation,[status(thm)],[c_17560,c_2961]) ).
tcf(c_17694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(complement(join(complement(X0),complement(composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0)))))),X3)) = join(X0,X3),
inference(light_normalisation,[status(thm)],[c_17544,c_2961]) ).
tcf(c_17695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(complement(join(complement(X0),complement(composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0)))))),X3)) = join(X0,X3),
inference(light_normalisation,[status(thm)],[c_17543,c_2961]) ).
tcf(c_17696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,X1)),join(complement(join(complement(join(complement(X0),X2)),complement(join(complement(join(complement(X0),complement(X2))),X1)))),X3)) = join(complement(X0),join(X2,X3)),
inference(theory_normalisation,[status(thm)],[c_17615,c_64,c_63]) ).
tcf(c_17698,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),X1) = join(X0,X1),
inference(demodulation,[status(thm)],[c_424,c_17599]) ).
tcf(c_17819,plain,
! [X0: $i] : composition(zero,composition(join(iPr_def_11,one),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_8528,c_10822]) ).
tcf(c_17832,plain,
! [X0: $i,X1: $i] : composition(composition(join(X0,one),one),composition(top,X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_1201,c_9568]) ).
tcf(c_17833,plain,
! [X0: $i,X1: $i] : composition(composition(join(one,X0),one),composition(top,X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_1194,c_9568]) ).
tcf(c_17845,plain,
! [X0: $i] : composition(one,composition(top,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_6002,c_9568]) ).
tcf(c_17852,plain,
! [X0: $i,X1: $i] : composition(join(one,X0),composition(converse(iPr_def_12),X1)) = composition(converse(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_4342,c_9568]) ).
tcf(c_17862,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(one,X0),X1),composition(top,X2)) = join(composition(top,X2),composition(X1,composition(top,X2))),
inference(superposition,[status(thm)],[c_9568,c_68]) ).
tcf(c_17863,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,X0),composition(composition(top,X1),X2)) = composition(composition(top,X1),X2),
inference(superposition,[status(thm)],[c_9568,c_66]) ).
tcf(c_17864,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,X1)),composition(top,X2)) = join(composition(X0,composition(top,X2)),composition(top,X2)),
inference(superposition,[status(thm)],[c_9568,c_68]) ).
tcf(c_17865,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),one),composition(top,X1)) = join(composition(top,X1),composition(top,X1)),
inference(superposition,[status(thm)],[c_9568,c_1201]) ).
tcf(c_17866,plain,
! [X0: $i,X1: $i] : composition(join(one,join(one,X0)),composition(top,X1)) = join(composition(top,X1),composition(top,X1)),
inference(superposition,[status(thm)],[c_9568,c_1194]) ).
tcf(c_17867,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(join(one,X1)),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9568,c_90]) ).
tcf(c_17868,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(join(converse(one),X1),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9568,c_382]) ).
tcf(c_17869,plain,
! [X0: $i,X1: $i] : composition(converse(composition(top,X0)),join(converse(one),X1)) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_9568,c_325]) ).
tcf(c_17870,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),join(one,X1)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_17869,c_1109,c_2778]) ).
tcf(c_17871,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,one)),composition(top,X1)) = join(composition(top,X1),composition(top,X1)),
inference(theory_normalisation,[status(thm)],[c_17865,c_64,c_63]) ).
tcf(c_17872,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(join(one,X1),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_17868,c_1109]) ).
tcf(c_17873,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,X1)),composition(top,X2)) = join(composition(top,X2),composition(X0,composition(top,X2))),
inference(theory_normalisation,[status(thm)],[c_17864,c_64,c_63]) ).
tcf(c_17874,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),composition(X1,composition(top,X0))) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_17873,c_14547]) ).
tcf(c_17875,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,X1)),composition(top,X2)) = join(composition(top,X2),composition(X1,composition(top,X2))),
inference(theory_normalisation,[status(thm)],[c_17862,c_64,c_63]) ).
tcf(c_17913,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(X0,X1)),top) = join(iPr_def_10,composition(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_66,c_9760]) ).
tcf(c_17914,plain,
composition(join(iPr_def_10,top),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9558,c_9760]) ).
tcf(c_17917,plain,
composition(join(iPr_def_10,iPr_def_12),top) = join(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_9760]) ).
tcf(c_17918,plain,
composition(join(iPr_def_10,iPr_def_10),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_9663,c_9760]) ).
tcf(c_17920,plain,
composition(join(iPr_def_10,zero),top) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_10822,c_9760]) ).
tcf(c_17921,plain,
composition(join(iPr_def_10,complement(iPr_def_12)),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_13680,c_9760]) ).
tcf(c_17922,plain,
! [X0: $i] : composition(join(iPr_def_10,join(one,X0)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8978,c_9760]) ).
tcf(c_17923,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,one)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9297,c_9760]) ).
tcf(c_17924,plain,
composition(join(iPr_def_10,converse(complement(composition(top,top)))),top) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7654,c_9760]) ).
tcf(c_17925,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(one,X1))),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9548,c_9760]) ).
tcf(c_17926,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(X1,one))),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10478,c_9760]) ).
tcf(c_17927,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,X0),top)) = composition(join(iPr_def_10,X0),top),
inference(superposition,[status(thm)],[c_9760,c_3159]) ).
tcf(c_17928,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),complement(composition(join(iPr_def_10,X0),top)))) = top,
inference(superposition,[status(thm)],[c_9760,c_433]) ).
tcf(c_17929,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_10,X0),top),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_9760,c_64]) ).
tcf(c_17930,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(iPr_def_10,X1),top)) = join(iPr_def_10,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_9760,c_209]) ).
tcf(c_17932,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(iPr_def_10,X0),top))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9760,c_5033]) ).
tcf(c_17958,plain,
! [X0: $i] : composition(join(join(X0,one),iPr_def_10),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9297,c_9783]) ).
tcf(c_17960,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(one,X1)),iPr_def_10),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9548,c_9783]) ).
tcf(c_17961,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,one)),iPr_def_10),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10478,c_9783]) ).
tcf(c_17962,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_10),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_9783,c_3159]) ).
tcf(c_17963,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),complement(composition(join(X0,iPr_def_10),top)))) = top,
inference(superposition,[status(thm)],[c_9783,c_433]) ).
tcf(c_17964,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),top),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_9783,c_64]) ).
tcf(c_17965,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,iPr_def_10),top)) = join(iPr_def_10,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_9783,c_209]) ).
tcf(c_17967,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(X0,iPr_def_10),top))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9783,c_5033]) ).
tcf(c_17979,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,one)),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_17958,c_64,c_63]) ).
tcf(c_17981,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,one))),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_17961,c_64,c_63]) ).
tcf(c_17982,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,one))),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_17960,c_64,c_63]) ).
tcf(c_18023,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_209,c_11676]) ).
tcf(c_18031,plain,
! [X0: $i] : composition(composition(join(X0,one),one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_1201,c_11676]) ).
tcf(c_18032,plain,
! [X0: $i] : composition(composition(join(one,X0),one),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_1194,c_11676]) ).
tcf(c_18044,plain,
composition(one,converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_6002,c_11676]) ).
tcf(c_18045,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),X1),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X1,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_11676,c_68]) ).
tcf(c_18047,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_12)) = join(composition(X0,converse(iPr_def_12)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_68]) ).
tcf(c_18048,plain,
! [X0: $i] : composition(join(join(one,X0),one),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_1201]) ).
tcf(c_18049,plain,
! [X0: $i] : composition(join(one,join(one,X0)),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_1194]) ).
tcf(c_18050,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(join(one,X0)),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_90]) ).
tcf(c_18051,plain,
! [X0: $i] : composition(iPr_def_12,converse(join(one,X0))) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_256]) ).
tcf(c_18052,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,converse(join(one,X0))),converse(X1)) = converse(join(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_11676,c_354]) ).
tcf(c_18053,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(join(converse(one),X0),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_382]) ).
tcf(c_18054,plain,
! [X0: $i] : composition(converse(converse(iPr_def_12)),join(converse(one),X0)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_325]) ).
tcf(c_18055,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(iPr_def_12,converse(join(one,X1)))) = converse(join(X0,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_11676,c_359]) ).
tcf(c_18056,plain,
! [X0: $i] : composition(iPr_def_12,join(one,converse(X0))) = converse(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18051,c_1155]) ).
tcf(c_18057,plain,
! [X0: $i] : composition(converse(converse(iPr_def_12)),join(one,X0)) = converse(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18054,c_1109]) ).
tcf(c_18058,plain,
! [X0: $i] : composition(join(one,join(X0,one)),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18048,c_64,c_63]) ).
tcf(c_18059,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,join(one,converse(X0))),converse(X1)) = converse(join(converse(iPr_def_12),X1)),
inference(light_normalisation,[status(thm)],[c_18052,c_1155]) ).
tcf(c_18060,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(join(one,X0),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18053,c_1109]) ).
tcf(c_18061,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(join(one,converse(X0)),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18050,c_1155]) ).
tcf(c_18062,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18047,c_64,c_63]) ).
tcf(c_18064,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,X1)),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X1,converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18045,c_64,c_63]) ).
tcf(c_18093,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_64,c_11723]) ).
tcf(c_18097,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_11723,c_68]) ).
tcf(c_18098,plain,
! [X0: $i,X1: $i] : composition(join(X0,one),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_11723,c_66]) ).
tcf(c_18099,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_68]) ).
tcf(c_18100,plain,
! [X0: $i] : composition(join(join(X0,one),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_1201]) ).
tcf(c_18102,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,one)),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_90]) ).
tcf(c_18103,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,one))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_256]) ).
tcf(c_18104,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(join(X0,one))),converse(X1)) = converse(join(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_11723,c_354]) ).
tcf(c_18105,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(join(X0,converse(one)),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_381]) ).
tcf(c_18106,plain,
! [X0: $i] : composition(converse(converse(iPr_def_10)),join(X0,converse(one))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_274]) ).
tcf(c_18107,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(iPr_def_10,converse(join(X1,one)))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_11723,c_359]) ).
tcf(c_18109,plain,
! [X0: $i] : composition(converse(converse(iPr_def_10)),join(X0,one)) = converse(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_18106,c_1109]) ).
tcf(c_18110,plain,
! [X0: $i] : composition(join(X0,join(one,one)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_18100,c_64,c_63]) ).
tcf(c_18111,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),converse(X0)) = converse(join(converse(iPr_def_10),X0)),
inference(light_normalisation,[status(thm)],[c_18104,c_1161,c_17406]) ).
tcf(c_18112,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(join(X0,one),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_18105,c_1109]) ).
tcf(c_18114,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_18099,c_64,c_63]) ).
tcf(c_18116,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_18097,c_64,c_63]) ).
tcf(c_18164,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_64,c_11775]) ).
tcf(c_18168,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),X1),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X1,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_11775,c_68]) ).
tcf(c_18169,plain,
! [X0: $i,X1: $i] : composition(join(X0,one),composition(converse(iPr_def_12),X1)) = composition(converse(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_11775,c_66]) ).
tcf(c_18170,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_12)) = join(composition(X0,converse(iPr_def_12)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_68]) ).
tcf(c_18171,plain,
! [X0: $i] : composition(join(join(X0,one),one),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_1201]) ).
tcf(c_18173,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(join(X0,one)),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_90]) ).
tcf(c_18174,plain,
! [X0: $i] : composition(iPr_def_12,converse(join(X0,one))) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_256]) ).
tcf(c_18175,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,converse(join(X0,one))),converse(X1)) = converse(join(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_11775,c_354]) ).
tcf(c_18176,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(join(X0,converse(one)),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_381]) ).
tcf(c_18177,plain,
! [X0: $i] : composition(converse(converse(iPr_def_12)),join(X0,converse(one))) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_274]) ).
tcf(c_18178,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(iPr_def_12,converse(join(X1,one)))) = converse(join(X0,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_11775,c_359]) ).
tcf(c_18180,plain,
! [X0: $i] : composition(converse(converse(iPr_def_12)),join(X0,one)) = converse(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18177,c_1109]) ).
tcf(c_18181,plain,
! [X0: $i] : composition(join(X0,join(one,one)),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18171,c_64,c_63]) ).
tcf(c_18182,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),converse(X0)) = converse(join(converse(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_18175,c_1161,c_18056]) ).
tcf(c_18183,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(join(X0,one),complement(converse(iPr_def_12)))) = complement(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18176,c_1109]) ).
tcf(c_18185,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18170,c_64,c_63]) ).
tcf(c_18187,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_12)) = join(converse(iPr_def_12),composition(X1,converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18168,c_64,c_63]) ).
tcf(c_18205,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,complement(iPr_def_12))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12653,c_433]) ).
tcf(c_18206,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,complement(iPr_def_12))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_12653,c_64]) ).
tcf(c_18207,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,complement(iPr_def_12))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12653,c_209]) ).
tcf(c_18209,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),complement(iPr_def_11)) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_12653,c_4555]) ).
tcf(c_18214,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(iPr_def_12)),complement(join(X1,iPr_def_11))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_12653,c_6002]) ).
tcf(c_18215,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(iPr_def_12)),join(X1,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12653,c_3731]) ).
tcf(c_18218,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X1,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_18215,c_64,c_63]) ).
tcf(c_18219,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_11),complement(iPr_def_12))) = join(X0,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18209,c_64,c_63]) ).
tcf(c_18221,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(X0,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_18205,c_64,c_63]) ).
tcf(c_18222,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(X0,complement(iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_18221,c_2962]) ).
tcf(c_18223,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_18222,c_64,c_63]) ).
tcf(c_18225,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(iPr_def_12),complement(join(X1,iPr_def_11)))) = join(X0,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18214,c_64,c_63]) ).
tcf(c_18252,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(X0,one),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1201,c_12657]) ).
tcf(c_18253,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(join(one,X0),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1194,c_12657]) ).
tcf(c_18261,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(iPr_def_12),X0)),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12657,c_433]) ).
tcf(c_18262,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(iPr_def_12),X0)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_12657,c_64]) ).
tcf(c_18263,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(complement(iPr_def_12),X1)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12657,c_209]) ).
tcf(c_18265,plain,
! [X0: $i] : join(join(complement(iPr_def_12),X0),complement(iPr_def_11)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_12657,c_4555]) ).
tcf(c_18271,plain,
! [X0: $i,X1: $i] : join(join(complement(iPr_def_12),X0),complement(join(X1,iPr_def_11))) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_12657,c_6002]) ).
tcf(c_18276,plain,
! [X0: $i] : join(complement(iPr_def_11),join(X0,complement(iPr_def_12))) = join(complement(iPr_def_12),X0),
inference(theory_normalisation,[status(thm)],[c_18265,c_64,c_63]) ).
tcf(c_18277,plain,
! [X0: $i] : join(complement(iPr_def_12),X0) = join(X0,complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_18276,c_2962,c_13613]) ).
tcf(c_18278,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(join(complement(iPr_def_12),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_18261,c_64,c_63]) ).
tcf(c_18279,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(join(complement(iPr_def_12),X0)))) = top,
inference(light_normalisation,[status(thm)],[c_18278,c_2962]) ).
tcf(c_18280,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(complement(iPr_def_12),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_18279,c_64,c_63]) ).
tcf(c_18282,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,complement(join(X1,iPr_def_11)))) = join(complement(iPr_def_12),X0),
inference(theory_normalisation,[status(thm)],[c_18271,c_64,c_63]) ).
tcf(c_18305,plain,
join(complement(iPr_def_12),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_73,c_12680]) ).
tcf(c_18307,plain,
join(converse(complement(converse(iPr_def_12))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2767,c_12680]) ).
tcf(c_18309,plain,
! [X0: $i] : join(join(X0,complement(join(iPr_def_12,X0))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_433,c_12680]) ).
tcf(c_18310,plain,
! [X0: $i] : join(join(complement(iPr_def_12),X0),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2645,c_12680]) ).
tcf(c_18311,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,iPr_def_11),top)) = join(composition(X0,top),iPr_def_11),
inference(superposition,[status(thm)],[c_504,c_12680]) ).
tcf(c_18312,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_11,X0),top)) = join(composition(X0,top),iPr_def_11),
inference(superposition,[status(thm)],[c_495,c_12680]) ).
tcf(c_18314,plain,
join(zero,iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_3047,c_12680]) ).
tcf(c_18315,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2636,c_12680]) ).
tcf(c_18316,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),iPr_def_12)) = join(composition(X0,iPr_def_12),iPr_def_11),
inference(superposition,[status(thm)],[c_1201,c_12680]) ).
tcf(c_18317,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),iPr_def_12)) = join(composition(X0,iPr_def_12),iPr_def_11),
inference(superposition,[status(thm)],[c_1194,c_12680]) ).
tcf(c_18318,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_12))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3731,c_12680]) ).
tcf(c_18320,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_12),X0)),iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4192,c_12680]) ).
tcf(c_18321,plain,
! [X0: $i] : join(complement(join(X0,complement(iPr_def_12))),iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4555,c_12680]) ).
tcf(c_18322,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,complement(iPr_def_12)))),iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_6002,c_12680]) ).
tcf(c_18325,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_12680,c_433]) ).
tcf(c_18326,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_12680,c_64]) ).
tcf(c_18327,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_12680,c_209]) ).
tcf(c_18331,plain,
join(complement(join(iPr_def_11,iPr_def_12)),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_12680,c_433]) ).
tcf(c_18336,plain,
join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12680,c_5222]) ).
tcf(c_18342,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),iPr_def_11))) = X0,
inference(superposition,[status(thm)],[c_12680,c_6002]) ).
tcf(c_18343,plain,
! [X0: $i] : join(X0,join(complement(X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12680,c_3731]) ).
tcf(c_18344,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_11)),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_12680,c_3731]) ).
tcf(c_18345,plain,
join(iPr_def_11,iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_12680,c_6074]) ).
tcf(c_18347,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12680,c_3307]) ).
tcf(c_18348,plain,
join(one,join(converse(complement(one)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12680,c_4866]) ).
tcf(c_18349,plain,
join(one,converse(join(complement(one),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12680,c_4932]) ).
tcf(c_18350,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12680,c_5482]) ).
tcf(c_18351,plain,
join(iPr_def_11,complement(join(complement(iPr_def_12),iPr_def_11))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12680,c_16471]) ).
tcf(c_18353,plain,
join(iPr_def_10,join(complement(sk1),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12680,c_13712]) ).
tcf(c_18369,plain,
join(iPr_def_11,zero) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_18314,c_64,c_63]) ).
tcf(c_18371,plain,
join(iPr_def_10,join(iPr_def_11,complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_18353,c_64,c_63]) ).
tcf(c_18373,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_18344,c_64,c_63]) ).
tcf(c_18374,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_18373,c_2962]) ).
tcf(c_18377,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_18343,c_64,c_63]) ).
tcf(c_18378,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_18331,c_64,c_63]) ).
tcf(c_18381,plain,
join(iPr_def_11,complement(iPr_def_12)) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18305,c_64,c_63]) ).
tcf(c_18390,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_12)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18351,c_64,c_63]) ).
tcf(c_18392,plain,
join(one,converse(join(iPr_def_11,complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_18349,c_64,c_63]) ).
tcf(c_18393,plain,
join(iPr_def_11,join(one,converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_18348,c_64,c_63]) ).
tcf(c_18395,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_18347,c_64,c_63]) ).
tcf(c_18396,plain,
! [X0: $i] : join(X0,complement(join(iPr_def_11,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_18342,c_64,c_63]) ).
tcf(c_18397,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18315,c_64,c_63]) ).
tcf(c_18399,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18310,c_64,c_63]) ).
tcf(c_18401,plain,
join(iPr_def_11,converse(complement(converse(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18307,c_64,c_63]) ).
tcf(c_18402,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,complement(iPr_def_12)))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_18321,c_64,c_63]) ).
tcf(c_18404,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_12),X0))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_18320,c_64,c_63]) ).
tcf(c_18406,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_18325,c_64,c_63]) ).
tcf(c_18407,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18318,c_64,c_63]) ).
tcf(c_18409,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(join(iPr_def_12,X0)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_18309,c_64,c_63]) ).
tcf(c_18410,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,X1))) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_18326,c_64,c_63]) ).
tcf(c_18411,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_18322,c_64,c_63]) ).
tcf(c_18413,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),iPr_def_12)) = join(iPr_def_11,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18317,c_64,c_63]) ).
tcf(c_18414,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),iPr_def_12)) = join(iPr_def_11,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_18316,c_64,c_63]) ).
tcf(c_18415,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_11,X0),top)) = join(iPr_def_11,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_18312,c_64,c_63]) ).
tcf(c_18416,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,iPr_def_11),top)) = join(iPr_def_11,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_18311,c_64,c_63]) ).
tcf(c_18555,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_12681,c_433]) ).
tcf(c_18556,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_12681,c_64]) ).
tcf(c_18559,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_12681,c_209]) ).
tcf(c_18560,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12681,c_209]) ).
tcf(c_18591,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_18555,c_64,c_63]) ).
tcf(c_18592,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_18556,c_64,c_63]) ).
tcf(c_18606,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(iPr_def_11,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_12682]) ).
tcf(c_18610,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_12682,c_433]) ).
tcf(c_18611,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_12682,c_64]) ).
tcf(c_18614,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_12))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_12682,c_209]) ).
tcf(c_18615,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_12682,c_209]) ).
tcf(c_18634,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,complement(join(iPr_def_11,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_18610,c_64,c_63]) ).
tcf(c_18635,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_18611,c_64,c_63]) ).
tcf(c_18668,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(converse(X1),complement(composition(X1,complement(X0)))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_2961,c_425]) ).
tcf(c_18669,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(X0),complement(composition(X0,top))),X1)) = join(zero,X1),
inference(superposition,[status(thm)],[c_121,c_425]) ).
tcf(c_18673,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),complement(composition(X0,zero))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_3052,c_425]) ).
tcf(c_18674,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,X0))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_63,c_425]) ).
tcf(c_18677,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),X2),complement(composition(X1,X0)))) = join(complement(X0),composition(X2,complement(composition(X1,X0)))),
inference(superposition,[status(thm)],[c_68,c_425]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_73,c_425]) ).
tcf(c_18679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(composition(converse(X2),complement(composition(X2,X0))),X3))) = join(complement(X0),join(X1,X3)),
inference(superposition,[status(thm)],[c_209,c_425]) ).
tcf(c_18680,plain,
! [X0: $i,X1: $i] : join(complement(X0),converse(complement(converse(composition(converse(X1),complement(composition(X1,X0))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_2767,c_425]) ).
tcf(c_18681,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(composition(converse(X2),complement(composition(X2,X0))),X1)))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_433,c_425]) ).
tcf(c_18682,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(composition(converse(X1),complement(composition(X1,X0)))),X2)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_2645,c_425]) ).
tcf(c_18683,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = join(complement(X0),zero),
inference(superposition,[status(thm)],[c_3047,c_425]) ).
tcf(c_18684,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(composition(converse(X2),complement(composition(X2,X0)))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_2636,c_425]) ).
tcf(c_18685,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,one),composition(converse(X2),complement(composition(X2,X0))))) = join(complement(X0),composition(X1,composition(converse(X2),complement(composition(X2,X0))))),
inference(superposition,[status(thm)],[c_1201,c_425]) ).
tcf(c_18686,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(one,X1),composition(converse(X2),complement(composition(X2,X0))))) = join(complement(X0),composition(X1,composition(converse(X2),complement(composition(X2,X0))))),
inference(superposition,[status(thm)],[c_1194,c_425]) ).
tcf(c_18687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(X2,complement(composition(converse(X3),complement(composition(X3,X0))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_3731,c_425]) ).
tcf(c_18688,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(complement(composition(converse(X1),complement(composition(X1,X0)))),X2))) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[status(thm)],[c_4192,c_425]) ).
tcf(c_18689,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(X1,complement(composition(converse(X2),complement(composition(X2,X0))))))) = join(complement(X0),composition(converse(X2),complement(composition(X2,X0)))),
inference(superposition,[status(thm)],[c_4555,c_425]) ).
tcf(c_18690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),complement(join(X1,join(X2,complement(composition(converse(X3),complement(composition(X3,X0)))))))) = join(complement(X0),composition(converse(X3),complement(composition(X3,X0)))),
inference(superposition,[status(thm)],[c_6002,c_425]) ).
tcf(c_18691,plain,
! [X0: $i] : join(complement(top),join(zero,X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_7621,c_425]) ).
tcf(c_18693,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(top,complement(composition(top,X0))),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_2759,c_425]) ).
tcf(c_18694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(join(converse(X1),X2),complement(composition(join(converse(X2),X1),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_312,c_425]) ).
tcf(c_18696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(join(X1,converse(X2)),complement(composition(join(X2,converse(X1)),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_264,c_425]) ).
tcf(c_18698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(composition(X1,converse(X2)),complement(composition(composition(X2,converse(X1)),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_256,c_425]) ).
tcf(c_18699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_257,c_425]) ).
tcf(c_18700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(composition(join(X1,converse(X2)),converse(X3)),complement(composition(composition(X3,join(converse(X1),X2)),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_271,c_425]) ).
tcf(c_18701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(composition(converse(X1),join(X2,converse(X3))),complement(composition(composition(join(converse(X2),X3),X1),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_274,c_425]) ).
tcf(c_18702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(composition(join(converse(X1),X2),converse(X3)),complement(composition(composition(X3,join(X1,converse(X2))),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_321,c_425]) ).
tcf(c_18703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(composition(converse(X1),join(converse(X2),X3)),complement(composition(composition(join(X2,converse(X3)),X1),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_325,c_425]) ).
tcf(c_18704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(join(composition(X1,converse(X2)),converse(X3)),complement(composition(join(composition(X2,converse(X1)),X3),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_354,c_425]) ).
tcf(c_18705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(join(converse(X1),composition(X2,converse(X3))),complement(composition(join(X1,composition(X3,converse(X2))),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_359,c_425]) ).
tcf(c_18706,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(zero,complement(composition(zero,X0))),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_3363,c_425]) ).
tcf(c_18707,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(one,complement(composition(one,X0))),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_1109,c_425]) ).
tcf(c_18708,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(join(one,converse(X1)),complement(composition(join(one,X1),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_1155,c_425]) ).
tcf(c_18709,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(join(one,converse(X1)),complement(composition(join(X1,one),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_1161,c_425]) ).
tcf(c_18710,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(composition(converse(X1),top),complement(composition(composition(top,X1),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_2778,c_425]) ).
tcf(c_18711,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(composition(top,converse(X1)),complement(composition(composition(X1,top),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_2776,c_425]) ).
tcf(c_18712,plain,
! [X0: $i] : join(complement(top),join(composition(converse(sk1),complement(iPr_def_10)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_130,c_425]) ).
tcf(c_18713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_66,c_425]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),X2)) = join(complement(converse(X0)),X2),
inference(superposition,[status(thm)],[c_71,c_425]) ).
tcf(c_18716,plain,
! [X0: $i] : join(complement(top),join(composition(converse(top),complement(top)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_9558,c_425]) ).
tcf(c_18717,plain,
! [X0: $i] : join(complement(top),join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_12652,c_425]) ).
tcf(c_18719,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,top))),join(composition(converse(converse(X0)),complement(zero)),X1)) = join(complement(complement(composition(X0,top))),X1),
inference(superposition,[status(thm)],[c_7621,c_425]) ).
tcf(c_18720,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(iPr_def_11)),complement(zero)),X0)) = join(complement(complement(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_2963,c_425]) ).
tcf(c_18721,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(converse(sk1)),complement(zero)),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_2964,c_425]) ).
tcf(c_18722,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(sk1),complement(composition(iPr_def_10,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_467,c_425]) ).
tcf(c_18723,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_11),complement(composition(iPr_def_12,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_470,c_425]) ).
tcf(c_18724,plain,
! [X0: $i] : join(complement(top),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_9664,c_425]) ).
tcf(c_18725,plain,
! [X0: $i] : join(complement(top),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_9663,c_425]) ).
tcf(c_18726,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(one),complement(X0)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_1118,c_425]) ).
tcf(c_18727,plain,
! [X0: $i,X1: $i] : join(complement(zero),join(composition(converse(X0),complement(zero)),X1)) = join(complement(zero),X1),
inference(superposition,[status(thm)],[c_10786,c_425]) ).
tcf(c_18728,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(zero),complement(zero)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_10822,c_425]) ).
tcf(c_18729,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(sk1)),complement(zero)),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(superposition,[status(thm)],[c_10832,c_425]) ).
tcf(c_18730,plain,
! [X0: $i] : join(complement(sk1),join(composition(converse(converse(iPr_def_11)),complement(zero)),X0)) = join(complement(sk1),X0),
inference(superposition,[status(thm)],[c_3696,c_425]) ).
tcf(c_18731,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),join(composition(converse(converse(iPr_def_11)),complement(zero)),X1)) = join(complement(composition(complement(iPr_def_12),X0)),X1),
inference(superposition,[status(thm)],[c_15409,c_425]) ).
tcf(c_18732,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(converse(complement(iPr_def_12))),complement(zero)),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_3657,c_425]) ).
tcf(c_18733,plain,
! [X0: $i] : join(complement(top),join(composition(converse(complement(iPr_def_12)),complement(iPr_def_10)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_13680,c_425]) ).
tcf(c_18734,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),join(composition(converse(converse(iPr_def_11)),complement(zero)),X1)) = join(complement(composition(sk1,X0)),X1),
inference(superposition,[status(thm)],[c_10831,c_425]) ).
tcf(c_18735,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(complement(iPr_def_12))),complement(zero)),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(superposition,[status(thm)],[c_15484,c_425]) ).
tcf(c_18736,plain,
! [X0: $i] : join(complement(converse(sk1)),join(composition(converse(top),complement(converse(iPr_def_10))),X0)) = join(complement(converse(sk1)),X0),
inference(superposition,[status(thm)],[c_4282,c_425]) ).
tcf(c_18737,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),join(composition(converse(top),complement(converse(iPr_def_12))),X0)) = join(complement(converse(iPr_def_11)),X0),
inference(superposition,[status(thm)],[c_4284,c_425]) ).
tcf(c_18738,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(sk1),X0)),join(composition(converse(top),complement(composition(converse(iPr_def_10),X0))),X1)) = join(complement(composition(converse(sk1),X0)),X1),
inference(superposition,[status(thm)],[c_4321,c_425]) ).
tcf(c_18739,plain,
! [X0: $i] : join(complement(converse(sk1)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_10)))),X0)) = join(complement(converse(sk1)),X0),
inference(superposition,[status(thm)],[c_4326,c_425]) ).
tcf(c_18740,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(sk1),complement(composition(iPr_def_10,converse(iPr_def_10)))),X0)) = join(complement(converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_10671,c_425]) ).
tcf(c_18741,plain,
! [X0: $i] : join(complement(converse(sk1)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10)))),X0)) = join(complement(converse(sk1)),X0),
inference(superposition,[status(thm)],[c_10655,c_425]) ).
tcf(c_18742,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_11),X0)),join(composition(converse(top),complement(composition(converse(iPr_def_12),X0))),X1)) = join(complement(composition(converse(iPr_def_11),X0)),X1),
inference(superposition,[status(thm)],[c_4342,c_425]) ).
tcf(c_18743,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_12)))),X0)) = join(complement(converse(iPr_def_11)),X0),
inference(superposition,[status(thm)],[c_4347,c_425]) ).
tcf(c_18744,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(sk1),complement(composition(iPr_def_10,converse(iPr_def_11)))),X0)) = join(complement(converse(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_4348,c_425]) ).
tcf(c_18745,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(sk1)),complement(zero)),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_9602,c_425]) ).
tcf(c_18746,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(converse(sk1)),complement(zero)),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_12375,c_425]) ).
tcf(c_18747,plain,
! [X0: $i,X1: $i] : join(complement(sk1),join(composition(converse(converse(composition(iPr_def_11,X0))),complement(zero)),X1)) = join(complement(sk1),X1),
inference(superposition,[status(thm)],[c_12385,c_425]) ).
tcf(c_18748,plain,
! [X0: $i] : join(complement(sk1),join(composition(converse(converse(iPr_def_12)),complement(zero)),X0)) = join(complement(sk1),X0),
inference(superposition,[status(thm)],[c_9595,c_425]) ).
tcf(c_18749,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(converse(iPr_def_11)),complement(zero)),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_9601,c_425]) ).
tcf(c_18750,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(iPr_def_11)),complement(zero)),X1)) = join(complement(composition(iPr_def_10,X0)),X1),
inference(superposition,[status(thm)],[c_12332,c_425]) ).
tcf(c_18751,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(converse(composition(sk1,X0))),complement(zero)),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_12343,c_425]) ).
tcf(c_18752,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(converse(iPr_def_10)),complement(zero)),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_9596,c_425]) ).
tcf(c_18753,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(top),complement(converse(iPr_def_10))),X0)) = join(complement(converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_9772,c_425]) ).
tcf(c_18754,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(top),complement(converse(iPr_def_12))),X0)) = join(complement(converse(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_9807,c_425]) ).
tcf(c_18755,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),join(composition(converse(converse(iPr_def_12)),complement(zero)),X1)) = join(complement(composition(sk1,X0)),X1),
inference(superposition,[status(thm)],[c_12573,c_425]) ).
tcf(c_18756,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(iPr_def_10)),complement(zero)),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(superposition,[status(thm)],[c_12864,c_425]) ).
tcf(c_18757,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(converse(X0),top))),join(composition(converse(X0),complement(zero)),X1)) = join(complement(complement(composition(converse(X0),top))),X1),
inference(superposition,[status(thm)],[c_7622,c_425]) ).
tcf(c_18758,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(one,X0)),complement(top)),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_8978,c_425]) ).
tcf(c_18759,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,one)),complement(top)),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_9297,c_425]) ).
tcf(c_18760,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(converse(complement(composition(X0,top)))),complement(zero)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_7654,c_425]) ).
tcf(c_18761,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(iPr_def_12)),complement(zero)),X0)) = join(complement(complement(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_9806,c_425]) ).
tcf(c_18762,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(X0,join(one,X1))),complement(top)),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_9548,c_425]) ).
tcf(c_18763,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(top,X0)),join(composition(converse(join(one,X1)),complement(composition(top,X0))),X2)) = join(complement(composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_9568,c_425]) ).
tcf(c_18764,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(top),complement(composition(top,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_9648,c_425]) ).
tcf(c_18765,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_9761,c_425]) ).
tcf(c_18766,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_12,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_9798,c_425]) ).
tcf(c_18767,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(complement(iPr_def_12))),complement(zero)),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_9805,c_425]) ).
tcf(c_18768,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),join(composition(converse(top),complement(top)),X1)) = join(complement(join(one,X0)),X1),
inference(superposition,[status(thm)],[c_9944,c_425]) ).
tcf(c_18769,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(X0,join(X1,one))),complement(top)),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_10478,c_425]) ).
tcf(c_18770,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),join(composition(converse(top),complement(top)),X1)) = join(complement(join(X0,one)),X1),
inference(superposition,[status(thm)],[c_10497,c_425]) ).
tcf(c_18771,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_11)))),X0)) = join(complement(converse(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_10656,c_425]) ).
tcf(c_18772,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_10)))),X0)) = join(complement(converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_10708,c_425]) ).
tcf(c_18773,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_11,converse(iPr_def_12)))),X0)) = join(complement(converse(iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_10707,c_425]) ).
tcf(c_18774,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(converse(complement(iPr_def_12))),complement(zero)),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_10897,c_425]) ).
tcf(c_18775,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),join(composition(converse(converse(iPr_def_12)),complement(zero)),X1)) = join(complement(composition(complement(iPr_def_12),X0)),X1),
inference(superposition,[status(thm)],[c_10913,c_425]) ).
tcf(c_18776,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),join(composition(converse(top),complement(top)),X2)) = join(complement(join(X0,join(one,X1))),X2),
inference(superposition,[status(thm)],[c_11159,c_425]) ).
tcf(c_18777,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X1)) = join(complement(join(one,X0)),X1),
inference(superposition,[status(thm)],[c_11192,c_425]) ).
tcf(c_18778,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X1)) = join(complement(join(one,X0)),X1),
inference(superposition,[status(thm)],[c_11191,c_425]) ).
tcf(c_18779,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),join(composition(converse(top),complement(top)),X2)) = join(complement(join(X0,join(X1,one))),X2),
inference(superposition,[status(thm)],[c_11240,c_425]) ).
tcf(c_18780,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X1)) = join(complement(join(X0,one)),X1),
inference(superposition,[status(thm)],[c_11258,c_425]) ).
tcf(c_18781,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X1)) = join(complement(join(X0,one)),X1),
inference(superposition,[status(thm)],[c_11257,c_425]) ).
tcf(c_18782,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X2)) = join(complement(join(X0,join(one,X1))),X2),
inference(superposition,[status(thm)],[c_11578,c_425]) ).
tcf(c_18783,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(one,X0)),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_11604,c_425]) ).
tcf(c_18784,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X2)) = join(complement(join(X0,join(one,X1))),X2),
inference(superposition,[status(thm)],[c_11650,c_425]) ).
tcf(c_18785,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(join(one,X0)),complement(converse(iPr_def_12))),X1)) = join(complement(converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_11676,c_425]) ).
tcf(c_18786,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X2)) = join(complement(join(X0,join(X1,one))),X2),
inference(superposition,[status(thm)],[c_11712,c_425]) ).
tcf(c_18787,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,one)),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_11723,c_425]) ).
tcf(c_18788,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X2)) = join(complement(join(X0,join(X1,one))),X2),
inference(superposition,[status(thm)],[c_11764,c_425]) ).
tcf(c_18789,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_12)),join(composition(converse(join(X0,one)),complement(converse(iPr_def_12))),X1)) = join(complement(converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_11775,c_425]) ).
tcf(c_18790,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(converse(composition(iPr_def_10,X0))),complement(zero)),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_12412,c_425]) ).
tcf(c_18791,plain,
! [X0: $i,X1: $i] : join(complement(sk1),join(composition(converse(converse(composition(iPr_def_12,X0))),complement(zero)),X1)) = join(complement(sk1),X1),
inference(superposition,[status(thm)],[c_12487,c_425]) ).
tcf(c_18792,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(converse(iPr_def_12)),complement(zero)),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_12574,c_425]) ).
tcf(c_18793,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(iPr_def_12)),complement(zero)),X1)) = join(complement(composition(iPr_def_10,X0)),X1),
inference(superposition,[status(thm)],[c_12576,c_425]) ).
tcf(c_18794,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(sk1,X0))),complement(zero)),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_12587,c_425]) ).
tcf(c_18795,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(iPr_def_10)),complement(zero)),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_12608,c_425]) ).
tcf(c_18796,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(converse(iPr_def_10)),complement(zero)),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_12641,c_425]) ).
tcf(c_18797,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(iPr_def_10,X0))),complement(zero)),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_12794,c_425]) ).
tcf(c_18798,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(converse(composition(iPr_def_12,X0))),complement(zero)),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_12852,c_425]) ).
tcf(c_18799,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(converse(composition(iPr_def_11,X0))),complement(zero)),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_12878,c_425]) ).
tcf(c_18800,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(superposition,[status(thm)],[c_13682,c_425]) ).
tcf(c_18801,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),join(composition(converse(top),complement(converse(iPr_def_10))),X0)) = join(complement(converse(complement(iPr_def_12))),X0),
inference(superposition,[status(thm)],[c_13691,c_425]) ).
tcf(c_18803,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(join(composition(converse(X1),complement(composition(X1,X0))),X2),complement(join(complement(X0),X2)))) = top,
inference(superposition,[status(thm)],[c_425,c_433]) ).
tcf(c_18808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(composition(converse(X2),complement(composition(X2,X0))),X3))) = join(X1,join(complement(X0),X3)),
inference(superposition,[status(thm)],[c_425,c_209]) ).
tcf(c_18809,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))))) = top,
inference(superposition,[status(thm)],[c_425,c_433]) ).
tcf(c_18812,plain,
! [X0: $i] : join(complement(X0),complement(complement(X0))) = top,
inference(superposition,[status(thm)],[c_425,c_2636]) ).
tcf(c_18813,plain,
! [X0: $i] : join(iPr_def_10,join(complement(X0),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_425,c_11079]) ).
tcf(c_18814,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(X0),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_425,c_5222]) ).
tcf(c_18815,plain,
! [X0: $i] : join(iPr_def_10,join(complement(X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_425,c_2873]) ).
tcf(c_18816,plain,
! [X0: $i] : composition(iPr_def_12,join(complement(X0),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_425,c_11764]) ).
tcf(c_18817,plain,
! [X0: $i] : composition(iPr_def_10,join(complement(X0),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_425,c_11712]) ).
tcf(c_18818,plain,
! [X0: $i] : composition(top,join(complement(X0),one)) = top,
inference(superposition,[status(thm)],[c_425,c_11240]) ).
tcf(c_18819,plain,
! [X0: $i] : composition(join(complement(X0),one),top) = top,
inference(superposition,[status(thm)],[c_425,c_10478]) ).
tcf(c_18821,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_425,c_6002]) ).
tcf(c_18822,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_425,c_3731]) ).
tcf(c_18823,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_425,c_3731]) ).
tcf(c_18824,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(X1),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_425,c_3307]) ).
tcf(c_18825,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(X0),join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_425,c_3307]) ).
tcf(c_18826,plain,
! [X0: $i] : join(one,join(complement(X0),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_425,c_4866]) ).
tcf(c_18827,plain,
! [X0: $i] : join(one,converse(join(complement(X0),complement(one)))) = top,
inference(superposition,[status(thm)],[c_425,c_4932]) ).
tcf(c_18828,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(X0),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_425,c_5482]) ).
tcf(c_18829,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(X0),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_425,c_16471]) ).
tcf(c_18831,plain,
! [X0: $i] : join(iPr_def_10,join(complement(X0),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_425,c_13712]) ).
tcf(c_18832,plain,
! [X0: $i] : composition(join(one,complement(X0)),top) = top,
inference(theory_normalisation,[status(thm)],[c_18819,c_64,c_63]) ).
tcf(c_18833,plain,
! [X0: $i] : composition(top,join(one,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_18818,c_64,c_63]) ).
tcf(c_18834,plain,
! [X0: $i] : composition(iPr_def_10,join(one,complement(X0))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_18817,c_64,c_63]) ).
tcf(c_18835,plain,
! [X0: $i] : composition(iPr_def_12,join(one,complement(X0))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_18816,c_64,c_63]) ).
tcf(c_18836,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_18815,c_64,c_63]) ).
tcf(c_18837,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_18813,c_64,c_63]) ).
tcf(c_18840,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(X0)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18828,c_64,c_63]) ).
tcf(c_18841,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_18814,c_64,c_63]) ).
tcf(c_18842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_18825,c_64,c_63]) ).
tcf(c_18843,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_18824,c_64,c_63]) ).
tcf(c_18844,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,X0)) = top,
inference(light_normalisation,[status(thm)],[c_18823,c_2961]) ).
tcf(c_18846,plain,
! [X0: $i] : join(zero,join(X0,complement(top))) = join(complement(top),X0),
inference(theory_normalisation,[status(thm)],[c_18691,c_64,c_63]) ).
tcf(c_18848,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(zero,top),X1)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_18728,c_3052,c_3363]) ).
tcf(c_18849,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),top),X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_18727,c_3052]) ).
tcf(c_18850,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(one,complement(X0)),X1)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_18726,c_1109]) ).
tcf(c_18854,plain,
! [X0: $i] : join(zero,join(composition(top,zero),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_18716,c_121,c_2759,c_2951]) ).
tcf(c_18856,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = join(zero,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18683,c_64,c_63]) ).
tcf(c_18863,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(iPr_def_10)),top),X0)) = join(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_18795,c_3052]) ).
tcf(c_18864,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(iPr_def_12)),top),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_18792,c_3052,c_3111]) ).
tcf(c_18865,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(converse(iPr_def_10)),top),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_18752,c_2962,c_3052]) ).
tcf(c_18866,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(iPr_def_11)),top),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_18749,c_3052,c_3111]) ).
tcf(c_18867,plain,
! [X0: $i] : join(complement(sk1),join(composition(converse(converse(iPr_def_12)),top),X0)) = join(complement(sk1),X0),
inference(light_normalisation,[status(thm)],[c_18748,c_3052]) ).
tcf(c_18868,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(sk1)),top),X0)) = join(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_18745,c_3052]) ).
tcf(c_18870,plain,
! [X0: $i] : join(complement(sk1),join(composition(converse(converse(iPr_def_11)),top),X0)) = join(complement(sk1),X0),
inference(light_normalisation,[status(thm)],[c_18730,c_3052]) ).
tcf(c_18871,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(converse(sk1)),top),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_18721,c_2962,c_3052]) ).
tcf(c_18874,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18678,c_64,c_63]) ).
tcf(c_18875,plain,
! [X0: $i] : join(complement(iPr_def_12),join(converse(converse(iPr_def_10)),X0)) = join(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_18767,c_3052,c_13795]) ).
tcf(c_18876,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(join(one,converse(X0)),zero),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_18759,c_121,c_1161]) ).
tcf(c_18878,plain,
! [X0: $i] : join(iPr_def_10,join(converse(converse(iPr_def_10)),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_18732,c_2962,c_3052,c_13795]) ).
tcf(c_18879,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(composition(iPr_def_11,X0))),top),X1)) = join(iPr_def_11,X1),
inference(light_normalisation,[status(thm)],[c_18799,c_3052,c_3111]) ).
tcf(c_18880,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(composition(iPr_def_12,X0))),top),X1)) = join(iPr_def_11,X1),
inference(light_normalisation,[status(thm)],[c_18798,c_3052,c_3111]) ).
tcf(c_18881,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(iPr_def_10,X0))),top),X1)) = join(complement(iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_18797,c_3052]) ).
tcf(c_18882,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(sk1,X0))),top),X1)) = join(complement(iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_18794,c_3052]) ).
tcf(c_18883,plain,
! [X0: $i,X1: $i] : join(complement(sk1),join(composition(converse(converse(composition(iPr_def_12,X0))),top),X1)) = join(complement(sk1),X1),
inference(light_normalisation,[status(thm)],[c_18791,c_3052]) ).
tcf(c_18884,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(converse(composition(iPr_def_10,X0))),top),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_18790,c_2962,c_3052]) ).
tcf(c_18885,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(iPr_def_12)),top),X0)) = join(complement(complement(iPr_def_12)),X0),
inference(light_normalisation,[status(thm)],[c_18761,c_3052]) ).
tcf(c_18886,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),join(composition(top,complement(converse(iPr_def_12))),X0)) = join(complement(converse(iPr_def_12)),X0),
inference(light_normalisation,[status(thm)],[c_18754,c_2759]) ).
tcf(c_18887,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),join(composition(top,complement(converse(iPr_def_10))),X0)) = join(complement(converse(iPr_def_10)),X0),
inference(light_normalisation,[status(thm)],[c_18753,c_2759]) ).
tcf(c_18888,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(converse(composition(sk1,X0))),top),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_18751,c_2962,c_3052]) ).
tcf(c_18889,plain,
! [X0: $i,X1: $i] : join(complement(sk1),join(composition(converse(converse(composition(iPr_def_11,X0))),top),X1)) = join(complement(sk1),X1),
inference(light_normalisation,[status(thm)],[c_18747,c_3052]) ).
tcf(c_18890,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),join(composition(top,complement(converse(iPr_def_12))),X0)) = join(complement(converse(iPr_def_11)),X0),
inference(light_normalisation,[status(thm)],[c_18737,c_2759]) ).
tcf(c_18891,plain,
! [X0: $i] : join(complement(converse(sk1)),join(composition(top,complement(converse(iPr_def_10))),X0)) = join(complement(converse(sk1)),X0),
inference(light_normalisation,[status(thm)],[c_18736,c_2759]) ).
tcf(c_18892,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(iPr_def_11)),top),X0)) = join(complement(complement(iPr_def_12)),X0),
inference(light_normalisation,[status(thm)],[c_18720,c_3052]) ).
tcf(c_18893,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(composition(converse(X2),complement(composition(X2,X0)))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18684,c_64,c_63]) ).
tcf(c_18894,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(composition(converse(X1),complement(composition(X1,X0)))),X2)) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18682,c_64,c_63]) ).
tcf(c_18895,plain,
! [X0: $i,X1: $i] : join(complement(X0),converse(complement(converse(composition(converse(X1),complement(composition(X1,X0))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18680,c_64,c_63]) ).
tcf(c_18896,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),join(zero,X1)) = join(complement(join(X0,one)),X1),
inference(light_normalisation,[status(thm)],[c_18781,c_3111,c_9596]) ).
tcf(c_18897,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(join(X1,one)))) = join(complement(join(X1,one)),X0),
inference(theory_normalisation,[status(thm)],[c_18896,c_64,c_63]) ).
tcf(c_18900,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),join(zero,X1)) = join(complement(join(one,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18778,c_3111,c_9596]) ).
tcf(c_18901,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(join(one,X1)))) = join(complement(join(one,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18900,c_64,c_63]) ).
tcf(c_18904,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),join(composition(top,zero),X1)) = join(complement(join(X0,one)),X1),
inference(light_normalisation,[status(thm)],[c_18770,c_121,c_2759]) ).
tcf(c_18905,plain,
! [X0: $i,X1: $i] : join(composition(top,zero),join(X0,complement(join(X1,one)))) = join(complement(join(X1,one)),X0),
inference(theory_normalisation,[status(thm)],[c_18904,c_64,c_63]) ).
tcf(c_18906,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(join(one,converse(join(X0,X1))),zero),X2)) = join(zero,X2),
inference(light_normalisation,[status(thm)],[c_18769,c_121,c_1342]) ).
tcf(c_18907,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),join(composition(top,zero),X1)) = join(complement(join(one,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18768,c_121,c_2759]) ).
tcf(c_18908,plain,
! [X0: $i,X1: $i] : join(composition(top,zero),join(X0,complement(join(one,X1)))) = join(complement(join(one,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18907,c_64,c_63]) ).
tcf(c_18910,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(converse(complement(composition(X0,top)))),top),X1)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_18760,c_3052]) ).
tcf(c_18911,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),join(X2,complement(join(complement(X0),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_18803,c_64,c_63]) ).
tcf(c_18912,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),join(composition(top,complement(converse(iPr_def_10))),X0)) = join(complement(converse(complement(iPr_def_12))),X0),
inference(light_normalisation,[status(thm)],[c_18801,c_2759]) ).
tcf(c_18913,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(converse(iPr_def_10)),top),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18796,c_3052]) ).
tcf(c_18914,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(iPr_def_12)),top),X1)) = join(complement(composition(iPr_def_10,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18793,c_3052]) ).
tcf(c_18915,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_12)),join(composition(join(one,converse(X0)),complement(converse(iPr_def_12))),X1)) = join(complement(converse(iPr_def_12)),X1),
inference(light_normalisation,[status(thm)],[c_18789,c_1161]) ).
tcf(c_18916,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(join(one,converse(X0)),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(light_normalisation,[status(thm)],[c_18787,c_1161]) ).
tcf(c_18919,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(iPr_def_10)),top),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18756,c_3052]) ).
tcf(c_18920,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),join(composition(converse(converse(iPr_def_12)),top),X1)) = join(complement(composition(sk1,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18755,c_3052]) ).
tcf(c_18921,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(iPr_def_11)),top),X1)) = join(complement(composition(iPr_def_10,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18750,c_3052]) ).
tcf(c_18922,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(converse(sk1)),top),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18746,c_3052]) ).
tcf(c_18923,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),join(composition(converse(converse(iPr_def_11)),top),X1)) = join(complement(composition(sk1,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18734,c_3052]) ).
tcf(c_18924,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(sk1)),top),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18729,c_3052]) ).
tcf(c_18925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(X2,complement(composition(converse(X3),complement(composition(X3,X0))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18687,c_64,c_63]) ).
tcf(c_18926,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(composition(converse(X2),complement(composition(X2,X0))),X1)))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_18681,c_64,c_63]) ).
tcf(c_18928,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(converse(converse(iPr_def_10)),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18774,c_3052,c_13795]) ).
tcf(c_18929,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),join(X0,complement(composition(iPr_def_12,X1)))) = join(complement(composition(iPr_def_12,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18928,c_64,c_63]) ).
tcf(c_18930,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(top,complement(composition(top,X0))),X1)) = join(complement(composition(top,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18764,c_2759]) ).
tcf(c_18931,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(converse(converse(iPr_def_10)),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(light_normalisation,[status(thm)],[c_18735,c_3052,c_13795]) ).
tcf(c_18932,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),join(X0,complement(composition(iPr_def_11,X1)))) = join(complement(composition(iPr_def_11,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18931,c_64,c_63]) ).
tcf(c_18933,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),join(composition(converse(converse(iPr_def_12)),top),X1)) = join(complement(composition(complement(iPr_def_12),X0)),X1),
inference(light_normalisation,[status(thm)],[c_18775,c_3052]) ).
tcf(c_18934,plain,
! [X0: $i,X1: $i] : join(composition(converse(converse(iPr_def_12)),top),join(X0,complement(composition(complement(iPr_def_12),X1)))) = join(complement(composition(complement(iPr_def_12),X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18933,c_64,c_63]) ).
tcf(c_18935,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),join(composition(converse(converse(iPr_def_11)),top),X1)) = join(complement(composition(complement(iPr_def_12),X0)),X1),
inference(light_normalisation,[status(thm)],[c_18731,c_3052]) ).
tcf(c_18936,plain,
! [X0: $i,X1: $i] : join(composition(converse(converse(iPr_def_11)),top),join(X0,complement(composition(complement(iPr_def_12),X1)))) = join(complement(composition(complement(iPr_def_12),X1)),X0),
inference(theory_normalisation,[status(thm)],[c_18935,c_64,c_63]) ).
tcf(c_18937,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,top))),join(composition(X0,top),X1)) = join(complement(complement(composition(X0,top))),X1),
inference(light_normalisation,[status(thm)],[c_18719,c_69,c_3052]) ).
tcf(c_18938,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(X1,complement(complement(composition(X0,top))))) = join(complement(complement(composition(X0,top))),X1),
inference(theory_normalisation,[status(thm)],[c_18937,c_64,c_63]) ).
tcf(c_18939,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),join(X0,complement(join(X1,join(X2,one))))) = join(complement(join(X1,join(X2,one))),X0),
inference(theory_normalisation,[status(thm)],[c_18788,c_64,c_63]) ).
tcf(c_18940,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,complement(join(X1,join(X2,one))))) = join(complement(join(X1,join(X2,one))),X0),
inference(light_normalisation,[status(thm)],[c_18939,c_9806]) ).
tcf(c_18941,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),join(X0,complement(join(X1,join(X2,one))))) = join(complement(join(X1,join(X2,one))),X0),
inference(theory_normalisation,[status(thm)],[c_18786,c_64,c_63]) ).
tcf(c_18943,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),join(X0,complement(join(X1,join(one,X2))))) = join(complement(join(X1,join(one,X2))),X0),
inference(theory_normalisation,[status(thm)],[c_18784,c_64,c_63]) ).
tcf(c_18944,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,complement(join(X1,join(one,X2))))) = join(complement(join(X1,join(one,X2))),X0),
inference(light_normalisation,[status(thm)],[c_18943,c_9806]) ).
tcf(c_18945,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),join(X0,complement(join(X1,join(one,X2))))) = join(complement(join(X1,join(one,X2))),X0),
inference(theory_normalisation,[status(thm)],[c_18782,c_64,c_63]) ).
tcf(c_18947,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(top),complement(top)),join(X0,complement(join(X1,join(X2,one))))) = join(complement(join(X1,join(X2,one))),X0),
inference(theory_normalisation,[status(thm)],[c_18779,c_64,c_63]) ).
tcf(c_18948,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,zero),join(X0,complement(join(X1,join(X2,one))))) = join(complement(join(X1,join(X2,one))),X0),
inference(light_normalisation,[status(thm)],[c_18947,c_121,c_2759]) ).
tcf(c_18949,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(top),complement(top)),join(X0,complement(join(X1,join(one,X2))))) = join(complement(join(X1,join(one,X2))),X0),
inference(theory_normalisation,[status(thm)],[c_18776,c_64,c_63]) ).
tcf(c_18950,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,zero),join(X0,complement(join(X1,join(one,X2))))) = join(complement(join(X1,join(one,X2))),X0),
inference(light_normalisation,[status(thm)],[c_18949,c_121,c_2759]) ).
tcf(c_18951,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(zero)),join(X1,complement(complement(composition(converse(X0),top))))) = join(complement(complement(composition(converse(X0),top))),X1),
inference(theory_normalisation,[status(thm)],[c_18757,c_64,c_63]) ).
tcf(c_18952,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),top),join(X1,complement(complement(composition(converse(X0),top))))) = join(complement(complement(composition(converse(X0),top))),X1),
inference(light_normalisation,[status(thm)],[c_18951,c_3052]) ).
tcf(c_18953,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_11),X0)),join(composition(top,complement(composition(converse(iPr_def_12),X0))),X1)) = join(complement(composition(converse(iPr_def_11),X0)),X1),
inference(light_normalisation,[status(thm)],[c_18742,c_2759]) ).
tcf(c_18954,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(sk1),X0)),join(composition(top,complement(composition(converse(iPr_def_10),X0))),X1)) = join(complement(composition(converse(sk1),X0)),X1),
inference(light_normalisation,[status(thm)],[c_18738,c_2759]) ).
tcf(c_18955,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(complement(composition(converse(X1),complement(composition(X1,X0)))),X2))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_18688,c_90]) ).
tcf(c_19367,plain,
! [X0: $i] : composition(join(X0,sk1),top) = composition(join(iPr_def_10,X0),top),
inference(superposition,[status(thm)],[c_63,c_9784]) ).
tcf(c_19370,plain,
composition(join(iPr_def_10,complement(sk1)),top) = composition(top,top),
inference(superposition,[status(thm)],[c_73,c_9784]) ).
tcf(c_19371,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(sk1,X1)),top) = composition(join(iPr_def_10,join(X0,X1)),top),
inference(superposition,[status(thm)],[c_209,c_9784]) ).
tcf(c_19372,plain,
composition(join(iPr_def_10,converse(complement(converse(sk1)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2767,c_9784]) ).
tcf(c_19373,plain,
composition(join(iPr_def_10,sk1),top) = composition(sk1,top),
inference(superposition,[status(thm)],[c_3114,c_9784]) ).
tcf(c_19374,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(join(sk1,X0)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_433,c_9784]) ).
tcf(c_19375,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(sk1),X0)),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2645,c_9784]) ).
tcf(c_19376,plain,
composition(join(iPr_def_10,top),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2628,c_9784]) ).
tcf(c_19377,plain,
composition(join(iPr_def_10,zero),top) = composition(sk1,top),
inference(superposition,[status(thm)],[c_3047,c_9784]) ).
tcf(c_19378,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(sk1))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2636,c_9784]) ).
tcf(c_19379,plain,
! [X0: $i] : composition(composition(join(X0,one),sk1),top) = composition(join(iPr_def_10,composition(X0,sk1)),top),
inference(superposition,[status(thm)],[c_1201,c_9784]) ).
tcf(c_19380,plain,
! [X0: $i] : composition(composition(join(one,X0),sk1),top) = composition(join(iPr_def_10,composition(X0,sk1)),top),
inference(superposition,[status(thm)],[c_1194,c_9784]) ).
tcf(c_19381,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(X1,complement(sk1)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3731,c_9784]) ).
tcf(c_19382,plain,
! [X0: $i] : composition(join(iPr_def_10,join(sk1,X0)),top) = composition(join(sk1,X0),top),
inference(superposition,[status(thm)],[c_3159,c_9784]) ).
tcf(c_19383,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(complement(sk1),X0))),top) = composition(sk1,top),
inference(superposition,[status(thm)],[c_4192,c_9784]) ).
tcf(c_19384,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(X0,complement(sk1)))),top) = composition(sk1,top),
inference(superposition,[status(thm)],[c_4555,c_9784]) ).
tcf(c_19385,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(join(X0,join(X1,complement(sk1))))),top) = composition(sk1,top),
inference(superposition,[status(thm)],[c_6002,c_9784]) ).
tcf(c_19386,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_10,X0),top),composition(X1,top)) = composition(join(join(sk1,X0),X1),top),
inference(superposition,[status(thm)],[c_9784,c_68]) ).
tcf(c_19387,plain,
! [X0: $i,X1: $i] : composition(composition(join(iPr_def_10,X0),top),X1) = composition(join(sk1,X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_9784,c_66]) ).
tcf(c_19388,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(join(iPr_def_10,X1),top)) = composition(join(X0,join(sk1,X1)),top),
inference(superposition,[status(thm)],[c_9784,c_68]) ).
tcf(c_19389,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(sk1,X0)),complement(composition(join(iPr_def_10,X0),top))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_9784,c_425]) ).
tcf(c_19391,plain,
! [X0: $i] : composition(join(one,join(sk1,X0)),top) = join(top,composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9784,c_1194]) ).
tcf(c_19392,plain,
! [X0: $i] : join(complement(top),composition(converse(join(sk1,X0)),complement(composition(join(iPr_def_10,X0),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9784,c_90]) ).
tcf(c_19393,plain,
! [X0: $i] : join(complement(top),composition(join(converse(sk1),X0),complement(composition(join(iPr_def_10,converse(X0)),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9784,c_382]) ).
tcf(c_19394,plain,
! [X0: $i] : composition(converse(top),join(converse(sk1),X0)) = converse(composition(join(iPr_def_10,converse(X0)),top)),
inference(superposition,[status(thm)],[c_9784,c_325]) ).
tcf(c_19396,plain,
! [X0: $i] : composition(join(iPr_def_10,join(sk1,X0)),top) = join(iPr_def_10,composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9784,c_9760]) ).
tcf(c_19398,plain,
! [X0: $i] : composition(join(iPr_def_11,join(sk1,X0)),top) = join(iPr_def_12,composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9784,c_495]) ).
tcf(c_19399,plain,
! [X0: $i] : composition(converse(complement(composition(join(iPr_def_10,X0),top))),join(sk1,X0)) = zero,
inference(superposition,[status(thm)],[c_9784,c_7654]) ).
tcf(c_19400,plain,
! [X0: $i] : composition(converse(join(sk1,X0)),complement(composition(join(iPr_def_10,X0),top))) = zero,
inference(superposition,[status(thm)],[c_9784,c_7621]) ).
tcf(c_19401,plain,
! [X0: $i] : composition(top,converse(join(sk1,X0))) = converse(composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9784,c_2776]) ).
tcf(c_19403,plain,
! [X0: $i] : composition(join(iPr_def_10,join(one,X0)),top) = top,
inference(superposition,[status(thm)],[c_9784,c_9548]) ).
tcf(c_19404,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,one)),top) = top,
inference(superposition,[status(thm)],[c_9784,c_10478]) ).
tcf(c_19405,plain,
composition(join(iPr_def_10,zero),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19377,c_130,c_17920]) ).
tcf(c_19406,plain,
composition(join(iPr_def_10,top),top) = top,
inference(light_normalisation,[status(thm)],[c_19376,c_9558,c_17914]) ).
tcf(c_19407,plain,
composition(join(iPr_def_10,sk1),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19373,c_130]) ).
tcf(c_19411,plain,
composition(join(iPr_def_10,converse(complement(converse(sk1)))),top) = top,
inference(light_normalisation,[status(thm)],[c_19372,c_9558]) ).
tcf(c_19412,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(X0,complement(sk1)))),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19384,c_130]) ).
tcf(c_19413,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(complement(sk1),X0))),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19383,c_130]) ).
tcf(c_19414,plain,
! [X0: $i] : composition(join(iPr_def_10,join(sk1,X0)),top) = composition(join(iPr_def_10,X0),top),
inference(light_normalisation,[status(thm)],[c_19382,c_9784]) ).
tcf(c_19416,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(join(sk1,X0)))),top) = top,
inference(light_normalisation,[status(thm)],[c_19374,c_9558]) ).
tcf(c_19421,plain,
! [X0: $i] : converse(composition(join(iPr_def_10,converse(X0)),top)) = composition(top,join(converse(sk1),X0)),
inference(light_normalisation,[status(thm)],[c_19394,c_2759]) ).
tcf(c_19422,plain,
! [X0: $i] : composition(join(sk1,join(X0,one)),top) = join(top,composition(join(iPr_def_10,X0),top)),
inference(theory_normalisation,[status(thm)],[c_19391,c_64,c_63]) ).
tcf(c_19423,plain,
! [X0: $i] : join(top,composition(join(iPr_def_10,X0),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_19422,c_9585]) ).
tcf(c_19426,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(join(X0,join(X1,complement(sk1))))),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19385,c_130]) ).
tcf(c_19427,plain,
! [X0: $i] : join(zero,composition(converse(join(sk1,X0)),complement(composition(join(iPr_def_10,X0),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19392,c_121]) ).
tcf(c_19428,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_10,X0),top),composition(X1,top)) = composition(join(sk1,join(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_19386,c_64,c_63]) ).
tcf(c_19429,plain,
! [X0: $i] : join(zero,composition(join(converse(sk1),X0),complement(composition(join(iPr_def_10,converse(X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19393,c_121]) ).
tcf(c_19430,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(sk1,X0)),complement(composition(join(iPr_def_10,X0),top))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_19389,c_121]) ).
tcf(c_19489,plain,
! [X0: $i] : composition(join(X0,iPr_def_10),top) = composition(join(sk1,X0),top),
inference(superposition,[status(thm)],[c_63,c_9786]) ).
tcf(c_19491,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,X1),iPr_def_10),top) = composition(join(X0,join(X1,sk1)),top),
inference(superposition,[status(thm)],[c_64,c_9786]) ).
tcf(c_19495,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),top),composition(X1,top)) = composition(join(join(X0,sk1),X1),top),
inference(superposition,[status(thm)],[c_9786,c_68]) ).
tcf(c_19496,plain,
! [X0: $i,X1: $i] : composition(composition(join(X0,iPr_def_10),top),X1) = composition(join(X0,sk1),composition(top,X1)),
inference(superposition,[status(thm)],[c_9786,c_66]) ).
tcf(c_19497,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(join(X1,iPr_def_10),top)) = composition(join(X0,join(X1,sk1)),top),
inference(superposition,[status(thm)],[c_9786,c_68]) ).
tcf(c_19498,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,sk1)),complement(composition(join(X0,iPr_def_10),top))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_9786,c_425]) ).
tcf(c_19499,plain,
! [X0: $i] : composition(join(join(X0,sk1),one),top) = join(top,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_1201]) ).
tcf(c_19500,plain,
! [X0: $i] : composition(join(one,join(X0,sk1)),top) = join(top,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_1194]) ).
tcf(c_19501,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,sk1)),complement(composition(join(X0,iPr_def_10),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9786,c_90]) ).
tcf(c_19502,plain,
! [X0: $i] : join(complement(top),composition(join(X0,converse(sk1)),complement(composition(join(converse(X0),iPr_def_10),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9786,c_381]) ).
tcf(c_19503,plain,
! [X0: $i] : composition(converse(top),join(X0,converse(sk1))) = converse(composition(join(converse(X0),iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_274]) ).
tcf(c_19504,plain,
! [X0: $i] : composition(join(join(X0,sk1),iPr_def_10),top) = join(iPr_def_10,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_9783]) ).
tcf(c_19505,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,sk1)),top) = join(iPr_def_10,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_9760]) ).
tcf(c_19506,plain,
! [X0: $i] : composition(join(join(X0,sk1),iPr_def_11),top) = join(iPr_def_12,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_504]) ).
tcf(c_19507,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,sk1)),top) = join(iPr_def_12,composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_495]) ).
tcf(c_19508,plain,
! [X0: $i] : composition(converse(complement(composition(join(X0,iPr_def_10),top))),join(X0,sk1)) = zero,
inference(superposition,[status(thm)],[c_9786,c_7654]) ).
tcf(c_19509,plain,
! [X0: $i] : composition(converse(join(X0,sk1)),complement(composition(join(X0,iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_9786,c_7621]) ).
tcf(c_19510,plain,
! [X0: $i] : composition(top,converse(join(X0,sk1))) = converse(composition(join(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_9786,c_2776]) ).
tcf(c_19521,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,sk1)),top) = join(iPr_def_12,composition(join(X0,iPr_def_10),top)),
inference(theory_normalisation,[status(thm)],[c_19506,c_64,c_63]) ).
tcf(c_19522,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,sk1)),top) = composition(join(X0,iPr_def_10),top),
inference(light_normalisation,[status(thm)],[c_19505,c_17962]) ).
tcf(c_19523,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,sk1)),top) = join(iPr_def_10,composition(join(X0,iPr_def_10),top)),
inference(theory_normalisation,[status(thm)],[c_19504,c_64,c_63]) ).
tcf(c_19524,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,sk1)),top) = composition(join(X0,iPr_def_10),top),
inference(light_normalisation,[status(thm)],[c_19523,c_17962]) ).
tcf(c_19525,plain,
! [X0: $i] : composition(converse(top),join(X0,converse(sk1))) = converse(composition(join(iPr_def_10,converse(X0)),top)),
inference(theory_normalisation,[status(thm)],[c_19503,c_64,c_63]) ).
tcf(c_19526,plain,
! [X0: $i] : composition(top,join(converse(sk1),X0)) = composition(top,join(X0,converse(sk1))),
inference(light_normalisation,[status(thm)],[c_19525,c_2759,c_19421]) ).
tcf(c_19527,plain,
! [X0: $i] : composition(join(sk1,join(X0,one)),top) = join(top,composition(join(X0,iPr_def_10),top)),
inference(theory_normalisation,[status(thm)],[c_19500,c_64,c_63]) ).
tcf(c_19528,plain,
! [X0: $i] : join(top,composition(join(X0,iPr_def_10),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_19527,c_9585]) ).
tcf(c_19529,plain,
! [X0: $i] : composition(join(X0,join(sk1,one)),top) = join(top,composition(join(X0,iPr_def_10),top)),
inference(theory_normalisation,[status(thm)],[c_19499,c_64,c_63]) ).
tcf(c_19530,plain,
! [X0: $i] : join(top,composition(join(X0,iPr_def_10),top)) = join(top,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_19529,c_8279]) ).
tcf(c_19531,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,sk1)),top) = composition(join(X0,join(X1,iPr_def_10)),top),
inference(theory_normalisation,[status(thm)],[c_19491,c_64,c_63]) ).
tcf(c_19532,plain,
! [X0: $i] : join(zero,composition(converse(join(X0,sk1)),complement(composition(join(X0,iPr_def_10),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19501,c_121]) ).
tcf(c_19533,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),top),composition(X1,top)) = composition(join(X0,join(sk1,X1)),top),
inference(theory_normalisation,[status(thm)],[c_19495,c_64,c_63]) ).
tcf(c_19534,plain,
! [X0: $i] : join(complement(top),composition(join(X0,converse(sk1)),complement(composition(join(iPr_def_10,converse(X0)),top)))) = complement(top),
inference(theory_normalisation,[status(thm)],[c_19502,c_64,c_63]) ).
tcf(c_19535,plain,
! [X0: $i] : join(zero,composition(join(X0,converse(sk1)),complement(composition(join(iPr_def_10,converse(X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19534,c_121]) ).
tcf(c_19536,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(X0,sk1)),complement(composition(join(X0,iPr_def_10),top))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_19498,c_121]) ).
tcf(c_19586,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),top) = composition(join(X0,iPr_def_12),top),
inference(demodulation,[status(thm)],[c_9814,c_504]) ).
tcf(c_19589,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),top) = composition(join(iPr_def_12,X0),top),
inference(superposition,[status(thm)],[c_63,c_19586]) ).
tcf(c_19591,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,X1),iPr_def_11),top) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_64,c_19586]) ).
tcf(c_19592,plain,
composition(join(iPr_def_11,iPr_def_11),top) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12684,c_19586]) ).
tcf(c_19593,plain,
composition(join(zero,iPr_def_11),top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_2951,c_19586]) ).
tcf(c_19594,plain,
composition(join(iPr_def_12,iPr_def_11),top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_3114,c_19586]) ).
tcf(c_19595,plain,
composition(join(top,iPr_def_11),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2640,c_19586]) ).
tcf(c_19596,plain,
composition(join(iPr_def_10,iPr_def_11),top) = composition(top,top),
inference(superposition,[status(thm)],[c_9777,c_19586]) ).
tcf(c_19597,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),top),composition(X1,top)) = composition(join(join(X0,iPr_def_12),X1),top),
inference(superposition,[status(thm)],[c_19586,c_68]) ).
tcf(c_19598,plain,
! [X0: $i,X1: $i] : composition(composition(join(X0,iPr_def_11),top),X1) = composition(join(X0,iPr_def_12),composition(top,X1)),
inference(superposition,[status(thm)],[c_19586,c_66]) ).
tcf(c_19599,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(join(X1,iPr_def_11),top)) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_19586,c_68]) ).
tcf(c_19600,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,iPr_def_12)),complement(composition(join(X0,iPr_def_11),top))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_19586,c_425]) ).
tcf(c_19601,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),one),top) = join(top,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_1201]) ).
tcf(c_19602,plain,
! [X0: $i] : composition(join(one,join(X0,iPr_def_12)),top) = join(top,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_1194]) ).
tcf(c_19603,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,iPr_def_12)),complement(composition(join(X0,iPr_def_11),top)))) = complement(top),
inference(superposition,[status(thm)],[c_19586,c_90]) ).
tcf(c_19604,plain,
! [X0: $i] : join(complement(top),composition(join(X0,converse(iPr_def_12)),complement(composition(join(converse(X0),iPr_def_11),top)))) = complement(top),
inference(superposition,[status(thm)],[c_19586,c_381]) ).
tcf(c_19605,plain,
! [X0: $i] : composition(converse(top),join(X0,converse(iPr_def_12))) = converse(composition(join(converse(X0),iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_274]) ).
tcf(c_19606,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),iPr_def_10),top) = join(iPr_def_10,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_9783]) ).
tcf(c_19607,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,iPr_def_12)),top) = join(iPr_def_10,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_9760]) ).
tcf(c_19608,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),iPr_def_11),top) = join(iPr_def_12,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_504]) ).
tcf(c_19609,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,iPr_def_12)),top) = join(iPr_def_12,composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_495]) ).
tcf(c_19610,plain,
! [X0: $i] : composition(converse(complement(composition(join(X0,iPr_def_11),top))),join(X0,iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_19586,c_7654]) ).
tcf(c_19611,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),complement(composition(join(X0,iPr_def_11),top))) = zero,
inference(superposition,[status(thm)],[c_19586,c_7621]) ).
tcf(c_19612,plain,
! [X0: $i] : composition(top,converse(join(X0,iPr_def_12))) = converse(composition(join(X0,iPr_def_11),top)),
inference(superposition,[status(thm)],[c_19586,c_2776]) ).
tcf(c_19613,plain,
composition(join(sk1,iPr_def_11),top) = composition(join(iPr_def_10,iPr_def_12),top),
inference(superposition,[status(thm)],[c_19586,c_9784]) ).
tcf(c_19618,plain,
composition(join(iPr_def_11,top),top) = composition(top,top),
inference(theory_normalisation,[status(thm)],[c_19595,c_64,c_63]) ).
tcf(c_19619,plain,
composition(join(iPr_def_11,top),top) = top,
inference(light_normalisation,[status(thm)],[c_19618,c_9558]) ).
tcf(c_19620,plain,
composition(join(iPr_def_11,iPr_def_12),top) = composition(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_19594,c_64,c_63]) ).
tcf(c_19622,plain,
composition(join(iPr_def_11,zero),top) = composition(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_19593,c_64,c_63]) ).
tcf(c_19623,plain,
composition(join(iPr_def_11,zero),top) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_19622,c_9664]) ).
tcf(c_19624,plain,
composition(join(iPr_def_11,iPr_def_11),top) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_19592,c_12652]) ).
tcf(c_19625,plain,
composition(join(iPr_def_10,iPr_def_12),top) = composition(join(iPr_def_11,sk1),top),
inference(theory_normalisation,[status(thm)],[c_19613,c_64,c_63]) ).
tcf(c_19630,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,iPr_def_12)),top) = join(iPr_def_12,composition(join(X0,iPr_def_11),top)),
inference(theory_normalisation,[status(thm)],[c_19608,c_64,c_63]) ).
tcf(c_19633,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,iPr_def_12)),top) = join(iPr_def_10,composition(join(X0,iPr_def_11),top)),
inference(theory_normalisation,[status(thm)],[c_19606,c_64,c_63]) ).
tcf(c_19635,plain,
! [X0: $i] : composition(converse(top),join(X0,converse(iPr_def_12))) = converse(composition(join(iPr_def_11,converse(X0)),top)),
inference(theory_normalisation,[status(thm)],[c_19605,c_64,c_63]) ).
tcf(c_19636,plain,
! [X0: $i] : converse(composition(join(iPr_def_11,converse(X0)),top)) = composition(top,join(X0,converse(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_19635,c_2759]) ).
tcf(c_19637,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,one)),top) = join(top,composition(join(X0,iPr_def_11),top)),
inference(theory_normalisation,[status(thm)],[c_19602,c_64,c_63]) ).
tcf(c_19638,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_12,one)),top) = join(top,composition(join(X0,iPr_def_11),top)),
inference(theory_normalisation,[status(thm)],[c_19601,c_64,c_63]) ).
tcf(c_19639,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,iPr_def_11)),top) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(theory_normalisation,[status(thm)],[c_19591,c_64,c_63]) ).
tcf(c_19640,plain,
! [X0: $i] : join(zero,composition(converse(join(X0,iPr_def_12)),complement(composition(join(X0,iPr_def_11),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19603,c_121]) ).
tcf(c_19641,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),top),composition(X1,top)) = composition(join(X0,join(iPr_def_12,X1)),top),
inference(theory_normalisation,[status(thm)],[c_19597,c_64,c_63]) ).
tcf(c_19642,plain,
! [X0: $i] : join(complement(top),composition(join(X0,converse(iPr_def_12)),complement(composition(join(iPr_def_11,converse(X0)),top)))) = complement(top),
inference(theory_normalisation,[status(thm)],[c_19604,c_64,c_63]) ).
tcf(c_19643,plain,
! [X0: $i] : join(zero,composition(join(X0,converse(iPr_def_12)),complement(composition(join(iPr_def_11,converse(X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19642,c_121]) ).
tcf(c_19644,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(X0,iPr_def_12)),complement(composition(join(X0,iPr_def_11),top))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_19600,c_121]) ).
tcf(c_19740,plain,
! [X0: $i] : composition(join(X0,iPr_def_12),top) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_63,c_9815]) ).
tcf(c_19743,plain,
composition(join(iPr_def_11,complement(iPr_def_12)),top) = composition(top,top),
inference(superposition,[status(thm)],[c_73,c_9815]) ).
tcf(c_19744,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_12,X1)),top) = composition(join(iPr_def_11,join(X0,X1)),top),
inference(superposition,[status(thm)],[c_209,c_9815]) ).
tcf(c_19745,plain,
composition(join(iPr_def_11,converse(complement(converse(iPr_def_12)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2767,c_9815]) ).
tcf(c_19747,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(join(iPr_def_12,X0)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_433,c_9815]) ).
tcf(c_19748,plain,
! [X0: $i] : composition(join(iPr_def_11,join(complement(iPr_def_12),X0)),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2645,c_9815]) ).
tcf(c_19749,plain,
! [X0: $i] : composition(composition(join(X0,iPr_def_11),top),top) = composition(join(iPr_def_11,composition(X0,top)),top),
inference(superposition,[status(thm)],[c_504,c_9815]) ).
tcf(c_19750,plain,
! [X0: $i] : composition(composition(join(iPr_def_11,X0),top),top) = composition(join(iPr_def_11,composition(X0,top)),top),
inference(superposition,[status(thm)],[c_495,c_9815]) ).
tcf(c_19753,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(iPr_def_12))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_2636,c_9815]) ).
tcf(c_19754,plain,
! [X0: $i] : composition(composition(join(X0,one),iPr_def_12),top) = composition(join(iPr_def_11,composition(X0,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_1201,c_9815]) ).
tcf(c_19755,plain,
! [X0: $i] : composition(composition(join(one,X0),iPr_def_12),top) = composition(join(iPr_def_11,composition(X0,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_1194,c_9815]) ).
tcf(c_19756,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3731,c_9815]) ).
tcf(c_19757,plain,
! [X0: $i] : composition(join(iPr_def_11,join(iPr_def_12,X0)),top) = composition(join(iPr_def_12,X0),top),
inference(superposition,[status(thm)],[c_3159,c_9815]) ).
tcf(c_19758,plain,
! [X0: $i] : composition(join(iPr_def_11,complement(join(complement(iPr_def_12),X0))),top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_4192,c_9815]) ).
tcf(c_19759,plain,
! [X0: $i] : composition(join(iPr_def_11,complement(join(X0,complement(iPr_def_12)))),top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_4555,c_9815]) ).
tcf(c_19760,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12))))),top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_6002,c_9815]) ).
tcf(c_19761,plain,
composition(join(iPr_def_11,complement(sk1)),top) = composition(complement(sk1),top),
inference(superposition,[status(thm)],[c_13445,c_9815]) ).
tcf(c_19762,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_11,X0),top),composition(X1,top)) = composition(join(join(iPr_def_12,X0),X1),top),
inference(superposition,[status(thm)],[c_9815,c_68]) ).
tcf(c_19763,plain,
! [X0: $i,X1: $i] : composition(composition(join(iPr_def_11,X0),top),X1) = composition(join(iPr_def_12,X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_9815,c_66]) ).
tcf(c_19764,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(join(iPr_def_11,X1),top)) = composition(join(X0,join(iPr_def_12,X1)),top),
inference(superposition,[status(thm)],[c_9815,c_68]) ).
tcf(c_19765,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_12,X0)),complement(composition(join(iPr_def_11,X0),top))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_9815,c_425]) ).
tcf(c_19767,plain,
! [X0: $i] : composition(join(one,join(iPr_def_12,X0)),top) = join(top,composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_1194]) ).
tcf(c_19768,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_12,X0)),complement(composition(join(iPr_def_11,X0),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9815,c_90]) ).
tcf(c_19769,plain,
! [X0: $i] : join(complement(top),composition(join(converse(iPr_def_12),X0),complement(composition(join(iPr_def_11,converse(X0)),top)))) = complement(top),
inference(superposition,[status(thm)],[c_9815,c_382]) ).
tcf(c_19770,plain,
! [X0: $i] : composition(converse(top),join(converse(iPr_def_12),X0)) = converse(composition(join(iPr_def_11,converse(X0)),top)),
inference(superposition,[status(thm)],[c_9815,c_325]) ).
tcf(c_19771,plain,
! [X0: $i] : composition(join(join(iPr_def_12,X0),iPr_def_10),top) = join(iPr_def_10,composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_9783]) ).
tcf(c_19772,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_12,X0)),top) = join(iPr_def_10,composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_9760]) ).
tcf(c_19773,plain,
! [X0: $i] : composition(join(join(iPr_def_12,X0),iPr_def_11),top) = join(iPr_def_12,composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_504]) ).
tcf(c_19774,plain,
! [X0: $i] : composition(join(iPr_def_11,join(iPr_def_12,X0)),top) = join(iPr_def_12,composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_495]) ).
tcf(c_19775,plain,
! [X0: $i] : composition(converse(complement(composition(join(iPr_def_11,X0),top))),join(iPr_def_12,X0)) = zero,
inference(superposition,[status(thm)],[c_9815,c_7654]) ).
tcf(c_19776,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),complement(composition(join(iPr_def_11,X0),top))) = zero,
inference(superposition,[status(thm)],[c_9815,c_7621]) ).
tcf(c_19777,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_12,X0))) = converse(composition(join(iPr_def_11,X0),top)),
inference(superposition,[status(thm)],[c_9815,c_2776]) ).
tcf(c_19780,plain,
! [X0: $i] : composition(join(iPr_def_11,join(one,X0)),top) = top,
inference(superposition,[status(thm)],[c_9815,c_9548]) ).
tcf(c_19782,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,one)),top) = top,
inference(superposition,[status(thm)],[c_9815,c_10478]) ).
tcf(c_19793,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),top) = composition(join(iPr_def_11,X0),top),
inference(light_normalisation,[status(thm)],[c_19757,c_9815,c_12680]) ).
tcf(c_19795,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(join(iPr_def_12,X0)))),top) = top,
inference(light_normalisation,[status(thm)],[c_19747,c_9558]) ).
tcf(c_19797,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,iPr_def_12)),top) = join(iPr_def_12,composition(join(iPr_def_11,X0),top)),
inference(theory_normalisation,[status(thm)],[c_19773,c_64,c_63]) ).
tcf(c_19800,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,iPr_def_12)),top) = join(iPr_def_10,composition(join(iPr_def_11,X0),top)),
inference(theory_normalisation,[status(thm)],[c_19771,c_64,c_63]) ).
tcf(c_19802,plain,
! [X0: $i] : composition(top,join(converse(iPr_def_12),X0)) = composition(top,join(X0,converse(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_19770,c_2759,c_19636]) ).
tcf(c_19803,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,one)),top) = join(top,composition(join(iPr_def_11,X0),top)),
inference(theory_normalisation,[status(thm)],[c_19767,c_64,c_63]) ).
tcf(c_19805,plain,
! [X0: $i,X1: $i] : composition(composition(join(iPr_def_11,X0),top),X1) = composition(join(iPr_def_11,X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_19763,c_10715]) ).
tcf(c_19807,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_12,X0)),complement(composition(join(iPr_def_11,X0),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19768,c_121]) ).
tcf(c_19808,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_11,X0),top),composition(X1,top)) = composition(join(iPr_def_12,join(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_19762,c_64,c_63]) ).
tcf(c_19809,plain,
! [X0: $i] : join(zero,composition(join(converse(iPr_def_12),X0),complement(composition(join(iPr_def_11,converse(X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19769,c_121]) ).
tcf(c_19810,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(iPr_def_12,X0)),complement(composition(join(iPr_def_11,X0),top))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_19765,c_121]) ).
tcf(c_19856,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_12,X0)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_433,c_12683]) ).
tcf(c_19857,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2645,c_12683]) ).
tcf(c_19864,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3731,c_12683]) ).
tcf(c_19869,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_12683,c_433]) ).
tcf(c_19890,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12683,c_3731]) ).
tcf(c_19893,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12683,c_3307]) ).
tcf(c_19900,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_19890,c_2962]) ).
tcf(c_19906,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,complement(join(iPr_def_11,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_19869,c_64,c_63]) ).
tcf(c_19934,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,one),X1),composition(top,X2)) = join(composition(top,X2),composition(X1,composition(top,X2))),
inference(superposition,[status(thm)],[c_10483,c_68]) ).
tcf(c_19935,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,one),composition(composition(top,X1),X2)) = composition(composition(top,X1),X2),
inference(superposition,[status(thm)],[c_10483,c_66]) ).
tcf(c_19936,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,one)),composition(top,X2)) = join(composition(X0,composition(top,X2)),composition(top,X2)),
inference(superposition,[status(thm)],[c_10483,c_68]) ).
tcf(c_19937,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(top,X0)),join(composition(converse(join(X1,one)),complement(composition(top,X0))),X2)) = join(complement(composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_10483,c_425]) ).
tcf(c_19938,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),one),composition(top,X1)) = join(composition(top,X1),composition(top,X1)),
inference(superposition,[status(thm)],[c_10483,c_1201]) ).
tcf(c_19940,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(join(X1,one)),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_10483,c_90]) ).
tcf(c_19941,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(join(X1,converse(one)),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_10483,c_381]) ).
tcf(c_19942,plain,
! [X0: $i,X1: $i] : composition(converse(composition(top,X0)),join(X1,converse(one))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_10483,c_274]) ).
tcf(c_19943,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),join(X1,one)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_19942,c_1109,c_2778]) ).
tcf(c_19944,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,one)),composition(top,X1)) = join(composition(top,X1),composition(top,X1)),
inference(theory_normalisation,[status(thm)],[c_19938,c_64,c_63]) ).
tcf(c_19945,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(join(X1,one),complement(composition(top,X0)))) = complement(composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_19941,c_1109]) ).
tcf(c_19946,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,one)),composition(top,X2)) = join(composition(top,X2),composition(X0,composition(top,X2))),
inference(theory_normalisation,[status(thm)],[c_19936,c_64,c_63]) ).
tcf(c_19948,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,X1)),composition(top,X2)) = join(composition(top,X2),composition(X1,composition(top,X2))),
inference(theory_normalisation,[status(thm)],[c_19934,c_64,c_63]) ).
tcf(c_19961,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_64,c_13358]) ).
tcf(c_19962,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,top),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_68,c_13358]) ).
tcf(c_19967,plain,
join(iPr_def_10,composition(join(one,top),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_1194,c_13358]) ).
tcf(c_19971,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,composition(top,iPr_def_11)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_13358,c_64]) ).
tcf(c_19974,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_11)))) = join(X0,top),
inference(superposition,[status(thm)],[c_13358,c_209]) ).
tcf(c_19975,plain,
! [X0: $i] : join(X0,join(iPr_def_10,composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13358,c_209]) ).
tcf(c_19985,plain,
join(iPr_def_10,composition(join(top,one),iPr_def_11)) = top,
inference(theory_normalisation,[status(thm)],[c_19967,c_64,c_63]) ).
tcf(c_19989,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_11),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_19971,c_64,c_63]) ).
tcf(c_19996,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_68,c_13359]) ).
tcf(c_19998,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_13359]) ).
tcf(c_20006,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1201,c_13359]) ).
tcf(c_20007,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1194,c_13359]) ).
tcf(c_20014,plain,
! [X0: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_13359,c_433]) ).
tcf(c_20015,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_13359,c_64]) ).
tcf(c_20016,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_11),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_13359,c_209]) ).
tcf(c_20037,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),join(X0,composition(top,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_20014,c_64,c_63]) ).
tcf(c_20038,plain,
! [X0: $i] : join(iPr_def_10,join(zero,join(X0,composition(top,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_20037,c_121]) ).
tcf(c_20040,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_20015,c_64,c_63]) ).
tcf(c_20046,plain,
! [X0: $i] : join(iPr_def_11,composition(iPr_def_11,composition(X0,top))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_13456,c_66]) ).
tcf(c_20047,plain,
join(iPr_def_11,composition(iPr_def_12,top)) = iPr_def_11,
inference(superposition,[status(thm)],[c_470,c_20046]) ).
tcf(c_20049,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(iPr_def_11,composition(X0,composition(X1,top)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_66,c_20046]) ).
tcf(c_20051,plain,
join(iPr_def_11,composition(iPr_def_11,iPr_def_12)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12652,c_20046]) ).
tcf(c_20059,plain,
join(iPr_def_11,composition(iPr_def_11,iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_13680,c_20046]) ).
tcf(c_20062,plain,
join(iPr_def_11,composition(iPr_def_11,zero)) = iPr_def_11,
inference(superposition,[status(thm)],[c_7654,c_20046]) ).
tcf(c_20066,plain,
join(iPr_def_11,composition(iPr_def_11,top)) = iPr_def_11,
inference(superposition,[status(thm)],[c_10478,c_20046]) ).
tcf(c_20068,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_11,composition(X0,top)),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20046,c_433]) ).
tcf(c_20069,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(iPr_def_11,composition(X0,top)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_20046,c_64]) ).
tcf(c_20070,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(iPr_def_11,composition(X1,top)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20046,c_209]) ).
tcf(c_20077,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_11,composition(X0,top)))) = top,
inference(theory_normalisation,[status(thm)],[c_20068,c_64,c_63]) ).
tcf(c_20078,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(iPr_def_11,composition(X0,top)))) = top,
inference(light_normalisation,[status(thm)],[c_20077,c_2962]) ).
tcf(c_20079,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(iPr_def_11,composition(X0,top)))) = top,
inference(theory_normalisation,[status(thm)],[c_20078,c_64,c_63]) ).
tcf(c_20092,plain,
join(iPr_def_11,join(composition(iPr_def_11,iPr_def_12),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20051,c_433]) ).
tcf(c_20093,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_11,iPr_def_12),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_20051,c_64]) ).
tcf(c_20094,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(iPr_def_11,iPr_def_12))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20051,c_209]) ).
tcf(c_20099,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_11,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_20092,c_64,c_63]) ).
tcf(c_20100,plain,
join(iPr_def_11,join(iPr_def_10,composition(iPr_def_11,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_20099,c_2962]) ).
tcf(c_20101,plain,
join(iPr_def_10,join(iPr_def_11,composition(iPr_def_11,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_20100,c_64,c_63]) ).
tcf(c_20111,plain,
join(iPr_def_11,join(composition(iPr_def_11,iPr_def_10),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20059,c_433]) ).
tcf(c_20112,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_11,iPr_def_10),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_20059,c_64]) ).
tcf(c_20113,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(iPr_def_11,iPr_def_10))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20059,c_209]) ).
tcf(c_20118,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_11,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_20111,c_64,c_63]) ).
tcf(c_20119,plain,
join(iPr_def_11,join(iPr_def_10,composition(iPr_def_11,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_20118,c_2962]) ).
tcf(c_20120,plain,
join(iPr_def_10,join(iPr_def_11,composition(iPr_def_11,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_20119,c_64,c_63]) ).
tcf(c_20181,plain,
! [X0: $i] : join(iPr_def_11,composition(iPr_def_12,composition(X0,top))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_13457,c_66]) ).
tcf(c_20184,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(iPr_def_12,composition(X0,composition(X1,top)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_66,c_20181]) ).
tcf(c_20186,plain,
join(iPr_def_11,composition(iPr_def_12,iPr_def_12)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12652,c_20181]) ).
tcf(c_20194,plain,
join(iPr_def_11,composition(iPr_def_12,iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_13680,c_20181]) ).
tcf(c_20197,plain,
join(iPr_def_11,composition(iPr_def_12,zero)) = iPr_def_11,
inference(superposition,[status(thm)],[c_7654,c_20181]) ).
tcf(c_20203,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_12,composition(X0,top)),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20181,c_433]) ).
tcf(c_20204,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(iPr_def_12,composition(X0,top)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_20181,c_64]) ).
tcf(c_20205,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(iPr_def_12,composition(X1,top)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20181,c_209]) ).
tcf(c_20210,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_12,composition(X0,top)))) = top,
inference(theory_normalisation,[status(thm)],[c_20203,c_64,c_63]) ).
tcf(c_20211,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(iPr_def_12,composition(X0,top)))) = top,
inference(light_normalisation,[status(thm)],[c_20210,c_2962]) ).
tcf(c_20212,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(iPr_def_12,composition(X0,top)))) = top,
inference(theory_normalisation,[status(thm)],[c_20211,c_64,c_63]) ).
tcf(c_20218,plain,
join(iPr_def_11,join(composition(iPr_def_12,iPr_def_12),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20186,c_433]) ).
tcf(c_20219,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_12,iPr_def_12),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_20186,c_64]) ).
tcf(c_20220,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(iPr_def_12,iPr_def_12))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20186,c_209]) ).
tcf(c_20225,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_12,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_20218,c_64,c_63]) ).
tcf(c_20226,plain,
join(iPr_def_11,join(iPr_def_10,composition(iPr_def_12,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_20225,c_2962]) ).
tcf(c_20227,plain,
join(iPr_def_10,join(iPr_def_11,composition(iPr_def_12,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_20226,c_64,c_63]) ).
tcf(c_20234,plain,
join(iPr_def_11,join(composition(iPr_def_12,iPr_def_10),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20194,c_433]) ).
tcf(c_20235,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_12,iPr_def_10),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_20194,c_64]) ).
tcf(c_20236,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(iPr_def_12,iPr_def_10))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20194,c_209]) ).
tcf(c_20241,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_12,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_20234,c_64,c_63]) ).
tcf(c_20242,plain,
join(iPr_def_11,join(iPr_def_10,composition(iPr_def_12,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_20241,c_2962]) ).
tcf(c_20243,plain,
join(iPr_def_10,join(iPr_def_11,composition(iPr_def_12,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_20242,c_64,c_63]) ).
tcf(c_20252,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(iPr_def_10,X0)),top) = iPr_def_10,
inference(demodulation,[status(thm)],[c_13461,c_9760]) ).
tcf(c_20253,plain,
composition(composition(join(iPr_def_10,iPr_def_10),top),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_9783,c_20252]) ).
tcf(c_20256,plain,
composition(composition(join(one,iPr_def_10),iPr_def_10),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_20252]) ).
tcf(c_20264,plain,
composition(join(iPr_def_10,iPr_def_10),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_11191,c_20252]) ).
tcf(c_20268,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(iPr_def_10,X0)),X1),top) = join(iPr_def_10,composition(X1,top)),
inference(superposition,[status(thm)],[c_20252,c_68]) ).
tcf(c_20269,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(iPr_def_10,X0)),composition(top,X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_20252,c_66]) ).
tcf(c_20270,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(iPr_def_10,X1))),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_20252,c_68]) ).
tcf(c_20271,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),complement(iPr_def_10)),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_20252,c_425]) ).
tcf(c_20273,plain,
! [X0: $i] : composition(join(one,join(iPr_def_10,composition(iPr_def_10,X0))),top) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_20252,c_1194]) ).
tcf(c_20274,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_20252,c_90]) ).
tcf(c_20278,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(iPr_def_10,X0))),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_20252,c_9760]) ).
tcf(c_20280,plain,
! [X0: $i] : composition(join(iPr_def_11,join(iPr_def_10,composition(iPr_def_10,X0))),top) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_20252,c_495]) ).
tcf(c_20281,plain,
! [X0: $i] : composition(converse(complement(iPr_def_10)),join(iPr_def_10,composition(iPr_def_10,X0))) = zero,
inference(superposition,[status(thm)],[c_20252,c_7654]) ).
tcf(c_20282,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_20252,c_7621]) ).
tcf(c_20283,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,composition(iPr_def_10,X0)))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_20252,c_2776]) ).
tcf(c_20284,plain,
composition(composition(join(iPr_def_10,one),iPr_def_10),top) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20256,c_64,c_63]) ).
tcf(c_20286,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_20282,c_3111]) ).
tcf(c_20287,plain,
! [X0: $i] : composition(converse(iPr_def_11),join(iPr_def_10,composition(iPr_def_10,X0))) = zero,
inference(light_normalisation,[status(thm)],[c_20281,c_3111]) ).
tcf(c_20288,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(iPr_def_10,X0))),top) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_20280,c_64,c_63]) ).
tcf(c_20289,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(iPr_def_10,X0))),top) = top,
inference(light_normalisation,[status(thm)],[c_20288,c_9777]) ).
tcf(c_20293,plain,
! [X0: $i] : composition(join(iPr_def_10,join(one,composition(iPr_def_10,X0))),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_20273,c_64,c_63]) ).
tcf(c_20295,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_20274,c_121,c_3111]) ).
tcf(c_20296,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(iPr_def_10,X1))),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_20270,c_64,c_63]) ).
tcf(c_20297,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(iPr_def_10,X1))),top) = composition(join(iPr_def_10,X0),top),
inference(light_normalisation,[status(thm)],[c_20296,c_9760]) ).
tcf(c_20298,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(iPr_def_10,X0),X1)),top) = join(iPr_def_10,composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_20268,c_64,c_63]) ).
tcf(c_20299,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(iPr_def_10,composition(iPr_def_10,X0))),iPr_def_11),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_20271,c_121,c_3111]) ).
tcf(c_20359,plain,
! [X0: $i] : join(zero,join(complement(join(zero,zero)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_430,c_2640]) ).
tcf(c_20361,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_10))) = converse(composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_71,c_10871]) ).
tcf(c_20369,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,composition(converse(iPr_def_10),X0))) = composition(join(top,X1),composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_68]) ).
tcf(c_20370,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(converse(iPr_def_10),X0),X1)) = composition(composition(converse(iPr_def_10),X0),X1),
inference(superposition,[status(thm)],[c_10871,c_66]) ).
tcf(c_20371,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(iPr_def_10),X1)),composition(converse(iPr_def_10),X1)) = composition(join(X0,top),composition(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_10871,c_68]) ).
tcf(c_20372,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_10),X0)),join(composition(converse(top),complement(composition(converse(iPr_def_10),X0))),X1)) = join(complement(composition(converse(iPr_def_10),X0)),X1),
inference(superposition,[status(thm)],[c_10871,c_425]) ).
tcf(c_20374,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),X0),composition(converse(iPr_def_10),X0)) = composition(join(one,top),composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_1194]) ).
tcf(c_20375,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_10),X0)),composition(converse(top),complement(composition(converse(iPr_def_10),X0)))) = complement(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_90]) ).
tcf(c_20376,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(converse(iPr_def_10),X0)) = composition(iPr_def_10,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_13682]) ).
tcf(c_20377,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_10),X0)),top) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_2778]) ).
tcf(c_20378,plain,
! [X0: $i] : composition(iPr_def_11,composition(converse(iPr_def_10),X0)) = composition(iPr_def_12,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_470]) ).
tcf(c_20379,plain,
! [X0: $i] : composition(sk1,composition(converse(iPr_def_10),X0)) = composition(iPr_def_10,composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_467]) ).
tcf(c_20382,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_10,composition(converse(top),complement(composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10871,c_15012]) ).
tcf(c_20383,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(top),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10871,c_15012]) ).
tcf(c_20385,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_10,composition(top,complement(composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_20382,c_2759]) ).
tcf(c_20386,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),X0),composition(converse(iPr_def_10),X0)) = composition(join(top,one),composition(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_20374,c_64,c_63]) ).
tcf(c_20387,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_10),X0)),composition(top,complement(composition(converse(iPr_def_10),X0)))) = complement(composition(converse(iPr_def_10),X0)),
inference(light_normalisation,[status(thm)],[c_20375,c_2759]) ).
tcf(c_20388,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,composition(converse(iPr_def_10),X0))) = composition(join(X1,top),composition(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_20371,c_64,c_63]) ).
tcf(c_20389,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_10),X0)),join(composition(top,complement(composition(converse(iPr_def_10),X0))),X1)) = join(complement(composition(converse(iPr_def_10),X0)),X1),
inference(light_normalisation,[status(thm)],[c_20372,c_2759]) ).
tcf(c_20524,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(join(X0,X1)),join(X2,one)),top) = top,
inference(superposition,[status(thm)],[c_422,c_10944]) ).
tcf(c_20527,plain,
! [X0: $i,X1: $i] : composition(join(complement(X0),join(X1,one)),top) = top,
inference(superposition,[status(thm)],[c_425,c_10944]) ).
tcf(c_20546,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(join(X1,X2)),one)),top) = top,
inference(superposition,[status(thm)],[c_422,c_10944]) ).
tcf(c_20549,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(X1),one)),top) = top,
inference(superposition,[status(thm)],[c_425,c_10944]) ).
tcf(c_20551,plain,
! [X0: $i] : composition(join(X0,join(one,iPr_def_11)),top) = top,
inference(superposition,[status(thm)],[c_12680,c_10944]) ).
tcf(c_20562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,one)))),top) = top,
inference(superposition,[status(thm)],[c_64,c_10944]) ).
tcf(c_20565,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,top)),top) = top,
inference(superposition,[status(thm)],[c_2640,c_10944]) ).
tcf(c_20566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,join(X2,one))),X3),top) = join(top,composition(X3,top)),
inference(superposition,[status(thm)],[c_10944,c_68]) ).
tcf(c_20567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,one))),composition(top,X3)) = composition(top,X3),
inference(superposition,[status(thm)],[c_10944,c_66]) ).
tcf(c_20568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,one)))),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_10944,c_68]) ).
tcf(c_20569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(top),join(composition(converse(join(X0,join(X1,join(X2,one)))),complement(top)),X3)) = join(complement(top),X3),
inference(superposition,[status(thm)],[c_10944,c_425]) ).
tcf(c_20570,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,one))),one),top) = join(top,top),
inference(superposition,[status(thm)],[c_10944,c_1201]) ).
tcf(c_20571,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,join(X1,join(X2,one)))),top) = join(top,top),
inference(superposition,[status(thm)],[c_10944,c_1194]) ).
tcf(c_20572,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(join(X0,join(X1,join(X2,one)))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_10944,c_90]) ).
tcf(c_20573,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(join(X0,converse(join(X1,join(X2,one)))),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_10944,c_381]) ).
tcf(c_20574,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),join(X0,converse(join(X1,join(X2,one))))) = converse(top),
inference(superposition,[status(thm)],[c_10944,c_274]) ).
tcf(c_20577,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,one))),iPr_def_10),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10944,c_9783]) ).
tcf(c_20578,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(X0,join(X1,join(X2,one)))),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10944,c_9760]) ).
tcf(c_20579,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,one))),iPr_def_11),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10944,c_504]) ).
tcf(c_20580,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_11,join(X0,join(X1,join(X2,one)))),top) = join(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10944,c_495]) ).
tcf(c_20581,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(complement(top)),join(X0,join(X1,join(X2,one)))) = zero,
inference(superposition,[status(thm)],[c_10944,c_7654]) ).
tcf(c_20582,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,one)))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_10944,c_7621]) ).
tcf(c_20583,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(X0,join(X1,join(X2,one))))) = converse(top),
inference(superposition,[status(thm)],[c_10944,c_2776]) ).
tcf(c_20586,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,one)),top) = top,
inference(theory_normalisation,[status(thm)],[c_20551,c_64,c_63]) ).
tcf(c_20588,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,complement(X1))),top) = top,
inference(theory_normalisation,[status(thm)],[c_20549,c_64,c_63]) ).
tcf(c_20589,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,complement(X1))),top) = top,
inference(theory_normalisation,[status(thm)],[c_20527,c_64,c_63]) ).
tcf(c_20592,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,converse(join(X1,X2)))),top) = top,
inference(theory_normalisation,[status(thm)],[c_20546,c_64,c_63]) ).
tcf(c_20593,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,converse(join(X1,X2)))),top) = top,
inference(theory_normalisation,[status(thm)],[c_20524,c_64,c_63]) ).
tcf(c_20594,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(X0,join(X1,join(X2,one))))) = top,
inference(light_normalisation,[status(thm)],[c_20583,c_2759]) ).
tcf(c_20595,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,one)))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_20582,c_121]) ).
tcf(c_20596,plain,
! [X0: $i,X1: $i,X2: $i] : composition(zero,join(X0,join(X1,join(X2,one)))) = zero,
inference(light_normalisation,[status(thm)],[c_20581,c_121,c_3363]) ).
tcf(c_20597,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(X0,converse(join(X1,join(X2,one))))) = top,
inference(light_normalisation,[status(thm)],[c_20574,c_2759]) ).
tcf(c_20598,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_11,one)))),top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_20579,c_64,c_63]) ).
tcf(c_20599,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,one)))),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_20577,c_64,c_63]) ).
tcf(c_20600,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(one,one)))),top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_20570,c_64,c_63]) ).
tcf(c_20601,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(join(X0,converse(join(X1,join(X2,one)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_20573,c_121]) ).
tcf(c_20602,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(join(X0,join(X1,join(X2,one)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_20572,c_121]) ).
tcf(c_20603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,one)))),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_20568,c_64,c_63]) ).
tcf(c_20604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(one,X3)))),top) = join(top,composition(X3,top)),
inference(theory_normalisation,[status(thm)],[c_20566,c_64,c_63]) ).
tcf(c_20605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(zero,join(composition(converse(join(X0,join(X1,join(X2,one)))),zero),X3)) = join(zero,X3),
inference(light_normalisation,[status(thm)],[c_20569,c_121]) ).
tcf(c_20622,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(sk1,X0)),top) = iPr_def_10,
inference(demodulation,[status(thm)],[c_13464,c_9760]) ).
tcf(c_20624,plain,
composition(composition(join(iPr_def_10,sk1),top),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_9760,c_20622]) ).
tcf(c_20626,plain,
composition(composition(join(one,sk1),iPr_def_10),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_20622]) ).
tcf(c_20631,plain,
composition(join(iPr_def_10,composition(iPr_def_10,converse(iPr_def_10))),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_10671,c_20622]) ).
tcf(c_20632,plain,
composition(join(iPr_def_10,composition(iPr_def_10,converse(iPr_def_11))),top) = iPr_def_10,
inference(superposition,[status(thm)],[c_4348,c_20622]) ).
tcf(c_20634,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(sk1,X0)),X1),top) = join(iPr_def_10,composition(X1,top)),
inference(superposition,[status(thm)],[c_20622,c_68]) ).
tcf(c_20635,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(sk1,X0)),composition(top,X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_20622,c_66]) ).
tcf(c_20636,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(sk1,X1))),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_20622,c_68]) ).
tcf(c_20637,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_10,composition(sk1,X0))),complement(iPr_def_10)),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_20622,c_425]) ).
tcf(c_20639,plain,
! [X0: $i] : composition(join(one,join(iPr_def_10,composition(sk1,X0))),top) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_20622,c_1194]) ).
tcf(c_20640,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_10,composition(sk1,X0))),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_20622,c_90]) ).
tcf(c_20644,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(sk1,X0))),top) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_20622,c_9760]) ).
tcf(c_20646,plain,
! [X0: $i] : composition(join(iPr_def_11,join(iPr_def_10,composition(sk1,X0))),top) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_20622,c_495]) ).
tcf(c_20647,plain,
! [X0: $i] : composition(converse(complement(iPr_def_10)),join(iPr_def_10,composition(sk1,X0))) = zero,
inference(superposition,[status(thm)],[c_20622,c_7654]) ).
tcf(c_20648,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(sk1,X0))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_20622,c_7621]) ).
tcf(c_20649,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,composition(sk1,X0)))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_20622,c_2776]) ).
tcf(c_20650,plain,
composition(composition(join(sk1,one),iPr_def_10),top) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20626,c_64,c_63]) ).
tcf(c_20652,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(sk1,X0))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_20648,c_3111]) ).
tcf(c_20653,plain,
! [X0: $i] : composition(converse(iPr_def_11),join(iPr_def_10,composition(sk1,X0))) = zero,
inference(light_normalisation,[status(thm)],[c_20647,c_3111]) ).
tcf(c_20654,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(sk1,X0))),top) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_20646,c_64,c_63]) ).
tcf(c_20655,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(sk1,X0))),top) = top,
inference(light_normalisation,[status(thm)],[c_20654,c_9777]) ).
tcf(c_20659,plain,
! [X0: $i] : composition(join(iPr_def_10,join(one,composition(sk1,X0))),top) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_20639,c_64,c_63]) ).
tcf(c_20661,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_10,composition(sk1,X0))),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_20640,c_121,c_3111]) ).
tcf(c_20662,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(sk1,X1))),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_20636,c_64,c_63]) ).
tcf(c_20663,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,composition(sk1,X1))),top) = composition(join(iPr_def_10,X0),top),
inference(light_normalisation,[status(thm)],[c_20662,c_9760]) ).
tcf(c_20664,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(sk1,X0),X1)),top) = join(iPr_def_10,composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_20634,c_64,c_63]) ).
tcf(c_20665,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(join(iPr_def_10,composition(sk1,X0))),iPr_def_11),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_20637,c_121,c_3111]) ).
tcf(c_20677,plain,
! [X0: $i] : composition(composition(X0,converse(complement(iPr_def_12))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_256,c_15424]) ).
tcf(c_20680,plain,
composition(composition(top,converse(complement(iPr_def_12))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_2776,c_15424]) ).
tcf(c_20686,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(complement(iPr_def_12),X0)),X1),iPr_def_11) = join(zero,composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_15424,c_68]) ).
tcf(c_20687,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(iPr_def_12),X0)),composition(iPr_def_11,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_15424,c_66]) ).
tcf(c_20688,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_15424,c_68]) ).
tcf(c_20689,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(converse(composition(complement(iPr_def_12),X0))),complement(zero)),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_15424,c_425]) ).
tcf(c_20691,plain,
! [X0: $i] : composition(join(one,converse(composition(complement(iPr_def_12),X0))),iPr_def_11) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_15424,c_1194]) ).
tcf(c_20692,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(converse(composition(complement(iPr_def_12),X0))),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_15424,c_90]) ).
tcf(c_20693,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(composition(complement(iPr_def_12),X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_15424,c_15012]) ).
tcf(c_20694,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(composition(complement(iPr_def_12),X0),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_15424,c_380]) ).
tcf(c_20695,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0)) = converse(zero),
inference(superposition,[status(thm)],[c_15424,c_257]) ).
tcf(c_20696,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(complement(iPr_def_12),X0))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15424,c_3025]) ).
tcf(c_20699,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(complement(iPr_def_12),X0))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20696,c_3052]) ).
tcf(c_20700,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(iPr_def_12),X0),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20694,c_2962,c_3052]) ).
tcf(c_20703,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),iPr_def_11) = join(zero,composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_20688,c_64,c_63]) ).
tcf(c_20704,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(complement(iPr_def_12),X0),composition(converse(X1),complement(composition(X1,zero))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20693,c_2962]) ).
tcf(c_20705,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(converse(composition(complement(iPr_def_12),X0))),top),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_20689,c_2962,c_3052]) ).
tcf(c_20715,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_11)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_256,c_15500]) ).
tcf(c_20718,plain,
composition(composition(top,converse(iPr_def_11)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_2776,c_15500]) ).
tcf(c_20723,plain,
composition(converse(zero),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_10786,c_15500]) ).
tcf(c_20725,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),complement(iPr_def_12)) = join(zero,composition(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_15500,c_68]) ).
tcf(c_20726,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(complement(iPr_def_12),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_15500,c_66]) ).
tcf(c_20727,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_15500,c_68]) ).
tcf(c_20728,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(composition(iPr_def_11,X0))),complement(zero)),X1)) = join(complement(complement(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_15500,c_425]) ).
tcf(c_20730,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_11,X0))),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_15500,c_1194]) ).
tcf(c_20731,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(converse(composition(iPr_def_11,X0))),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_15500,c_90]) ).
tcf(c_20732,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_15500,c_15012]) ).
tcf(c_20733,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_15500,c_380]) ).
tcf(c_20734,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_15500,c_257]) ).
tcf(c_20735,plain,
composition(zero,complement(iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_20723,c_3363]) ).
tcf(c_20738,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_20733,c_3052]) ).
tcf(c_20739,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_11,X0))),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_20730,c_64,c_63]) ).
tcf(c_20741,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(converse(composition(iPr_def_11,X0))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_20731,c_3052]) ).
tcf(c_20742,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_20727,c_64,c_63]) ).
tcf(c_20743,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(composition(iPr_def_11,X0))),top),X1)) = join(complement(complement(iPr_def_12)),X1),
inference(light_normalisation,[status(thm)],[c_20728,c_3052]) ).
tcf(c_20753,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_12)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_256,c_16122]) ).
tcf(c_20756,plain,
composition(composition(top,converse(iPr_def_12)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_2776,c_16122]) ).
tcf(c_20764,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_10))),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_10708,c_16122]) ).
tcf(c_20765,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_12))),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_10707,c_16122]) ).
tcf(c_20770,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),complement(iPr_def_12)) = join(zero,composition(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16122,c_68]) ).
tcf(c_20771,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(complement(iPr_def_12),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_16122,c_66]) ).
tcf(c_20772,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_16122,c_68]) ).
tcf(c_20773,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(composition(iPr_def_12,X0))),complement(zero)),X1)) = join(complement(complement(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_16122,c_425]) ).
tcf(c_20775,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_16122,c_1194]) ).
tcf(c_20776,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(converse(composition(iPr_def_12,X0))),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_16122,c_90]) ).
tcf(c_20777,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_12,X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_16122,c_15012]) ).
tcf(c_20778,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_12,X0),complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_16122,c_380]) ).
tcf(c_20779,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_16122,c_257]) ).
tcf(c_20782,plain,
composition(composition(iPr_def_11,converse(iPr_def_12)),complement(iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_20765,c_5976]) ).
tcf(c_20783,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(composition(iPr_def_12,X0),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_20778,c_3052]) ).
tcf(c_20784,plain,
! [X0: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_20775,c_64,c_63]) ).
tcf(c_20786,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(converse(composition(iPr_def_12,X0))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_20776,c_3052]) ).
tcf(c_20787,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),complement(iPr_def_12)) = join(zero,composition(X0,complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_20772,c_64,c_63]) ).
tcf(c_20788,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),join(composition(converse(converse(composition(iPr_def_12,X0))),top),X1)) = join(complement(complement(iPr_def_12)),X1),
inference(light_normalisation,[status(thm)],[c_20773,c_3052]) ).
tcf(c_20798,plain,
! [X0: $i] : composition(composition(X0,converse(complement(iPr_def_12))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_256,c_16160]) ).
tcf(c_20801,plain,
composition(composition(top,converse(complement(iPr_def_12))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_2776,c_16160]) ).
tcf(c_20807,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(complement(iPr_def_12),X0)),X1),iPr_def_12) = join(zero,composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_16160,c_68]) ).
tcf(c_20808,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(iPr_def_12),X0)),composition(iPr_def_12,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_16160,c_66]) ).
tcf(c_20809,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),iPr_def_12) = join(composition(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_16160,c_68]) ).
tcf(c_20810,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(complement(iPr_def_12),X0))),complement(zero)),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_16160,c_425]) ).
tcf(c_20812,plain,
! [X0: $i] : composition(join(one,converse(composition(complement(iPr_def_12),X0))),iPr_def_12) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_16160,c_1194]) ).
tcf(c_20813,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(complement(iPr_def_12),X0))),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_16160,c_90]) ).
tcf(c_20814,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(composition(complement(iPr_def_12),X0),composition(converse(X1),complement(composition(X1,zero))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_16160,c_15012]) ).
tcf(c_20815,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(complement(iPr_def_12),X0),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_16160,c_380]) ).
tcf(c_20816,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = converse(zero),
inference(superposition,[status(thm)],[c_16160,c_257]) ).
tcf(c_20819,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(complement(iPr_def_12),X0),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20815,c_3052]) ).
tcf(c_20821,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(composition(complement(iPr_def_12),X0))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20813,c_3052]) ).
tcf(c_20822,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),iPr_def_12) = join(zero,composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_20809,c_64,c_63]) ).
tcf(c_20823,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(composition(complement(iPr_def_12),X0))),top),X1)) = join(complement(iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_20810,c_3052]) ).
tcf(c_20855,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_64,c_16698]) ).
tcf(c_20856,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,top),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_68,c_16698]) ).
tcf(c_20861,plain,
join(iPr_def_10,composition(join(one,top),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_1194,c_16698]) ).
tcf(c_20865,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,composition(top,iPr_def_12)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_16698,c_64]) ).
tcf(c_20868,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_16698,c_209]) ).
tcf(c_20869,plain,
! [X0: $i] : join(X0,join(iPr_def_10,composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_16698,c_209]) ).
tcf(c_20879,plain,
join(iPr_def_10,composition(join(top,one),iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_20861,c_64,c_63]) ).
tcf(c_20883,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_12),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_20865,c_64,c_63]) ).
tcf(c_20890,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_68,c_16699]) ).
tcf(c_20892,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_12),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_16699]) ).
tcf(c_20900,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1201,c_16699]) ).
tcf(c_20901,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1194,c_16699]) ).
tcf(c_20908,plain,
! [X0: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_12),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_16699,c_433]) ).
tcf(c_20909,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_12),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_16699,c_64]) ).
tcf(c_20910,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_12),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_16699,c_209]) ).
tcf(c_20933,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),join(X0,composition(top,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_20908,c_64,c_63]) ).
tcf(c_20934,plain,
! [X0: $i] : join(iPr_def_10,join(zero,join(X0,composition(top,iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_20933,c_121]) ).
tcf(c_20936,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,iPr_def_12),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_20909,c_64,c_63]) ).
tcf(c_20943,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_12))) = converse(composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_71,c_11007]) ).
tcf(c_20953,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(converse(iPr_def_12),X0))) = composition(join(top,X1),composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_68]) ).
tcf(c_20954,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(converse(iPr_def_12),X0),X1)) = composition(composition(converse(iPr_def_12),X0),X1),
inference(superposition,[status(thm)],[c_11007,c_66]) ).
tcf(c_20955,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(converse(iPr_def_12),X1)) = composition(join(X0,top),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_11007,c_68]) ).
tcf(c_20956,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_12),X0)),join(composition(converse(top),complement(composition(converse(iPr_def_12),X0))),X1)) = join(complement(composition(converse(iPr_def_12),X0)),X1),
inference(superposition,[status(thm)],[c_11007,c_425]) ).
tcf(c_20958,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),composition(converse(iPr_def_12),X0)) = composition(join(one,top),composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_1194]) ).
tcf(c_20959,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(top),complement(composition(converse(iPr_def_12),X0)))) = complement(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_90]) ).
tcf(c_20960,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(converse(iPr_def_12),X0)) = composition(iPr_def_10,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_13682]) ).
tcf(c_20961,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_12),X0)),top) = converse(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_2778]) ).
tcf(c_20962,plain,
! [X0: $i] : composition(iPr_def_11,composition(converse(iPr_def_12),X0)) = composition(iPr_def_12,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_470]) ).
tcf(c_20963,plain,
! [X0: $i] : composition(sk1,composition(converse(iPr_def_12),X0)) = composition(iPr_def_10,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_467]) ).
tcf(c_20966,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_12,composition(converse(top),complement(composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11007,c_15012]) ).
tcf(c_20967,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(converse(top),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11007,c_15012]) ).
tcf(c_20971,plain,
! [X0: $i] : join(complement(X0),composition(iPr_def_12,composition(top,complement(composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_20966,c_2759]) ).
tcf(c_20972,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),composition(converse(iPr_def_12),X0)) = composition(join(top,one),composition(converse(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_20958,c_64,c_63]) ).
tcf(c_20973,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(top,complement(composition(converse(iPr_def_12),X0)))) = complement(composition(converse(iPr_def_12),X0)),
inference(light_normalisation,[status(thm)],[c_20959,c_2759]) ).
tcf(c_20974,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(converse(iPr_def_12),X0))) = composition(join(X1,top),composition(converse(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_20955,c_64,c_63]) ).
tcf(c_20975,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_12),X0)),join(composition(top,complement(composition(converse(iPr_def_12),X0))),X1)) = join(complement(composition(converse(iPr_def_12),X0)),X1),
inference(light_normalisation,[status(thm)],[c_20956,c_2759]) ).
tcf(c_21009,plain,
composition(join(iPr_def_10,one),iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_20284,c_66,c_9663]) ).
tcf(c_21010,plain,
! [X0: $i] : composition(join(join(iPr_def_10,one),X0),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_21009,c_68]) ).
tcf(c_21011,plain,
! [X0: $i] : composition(join(iPr_def_10,one),composition(iPr_def_10,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_21009,c_66]) ).
tcf(c_21012,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,one)),iPr_def_10) = join(composition(X0,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_21009,c_68]) ).
tcf(c_21013,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(join(iPr_def_10,one)),complement(iPr_def_10)),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_21009,c_425]) ).
tcf(c_21015,plain,
composition(join(one,join(iPr_def_10,one)),iPr_def_10) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_21009,c_1194]) ).
tcf(c_21016,plain,
join(complement(iPr_def_10),composition(converse(join(iPr_def_10,one)),complement(iPr_def_10))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_21009,c_90]) ).
tcf(c_21017,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,one)),complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21009,c_379]) ).
tcf(c_21018,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,one)),iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21017,c_3111]) ).
tcf(c_21019,plain,
composition(join(iPr_def_10,join(one,one)),iPr_def_10) = join(iPr_def_10,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_21015,c_64,c_63]) ).
tcf(c_21022,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,one)),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_21012,c_64,c_63]) ).
tcf(c_21023,plain,
! [X0: $i] : composition(join(iPr_def_10,join(one,X0)),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_21010,c_64,c_63]) ).
tcf(c_21024,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(join(iPr_def_10,one)),iPr_def_11),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_21013,c_3111]) ).
tcf(c_21029,plain,
composition(join(sk1,one),iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_20650,c_66,c_9663]) ).
tcf(c_21030,plain,
! [X0: $i] : composition(join(join(sk1,one),X0),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_21029,c_68]) ).
tcf(c_21031,plain,
! [X0: $i] : composition(join(sk1,one),composition(iPr_def_10,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_21029,c_66]) ).
tcf(c_21032,plain,
! [X0: $i] : composition(join(X0,join(sk1,one)),iPr_def_10) = join(composition(X0,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_21029,c_68]) ).
tcf(c_21033,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(join(sk1,one)),complement(iPr_def_10)),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_21029,c_425]) ).
tcf(c_21035,plain,
composition(join(one,join(sk1,one)),iPr_def_10) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_21029,c_1194]) ).
tcf(c_21036,plain,
join(complement(iPr_def_10),composition(converse(join(sk1,one)),complement(iPr_def_10))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_21029,c_90]) ).
tcf(c_21037,plain,
join(iPr_def_11,composition(converse(join(sk1,one)),complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21029,c_379]) ).
tcf(c_21038,plain,
join(iPr_def_11,composition(converse(join(sk1,one)),iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21037,c_3111]) ).
tcf(c_21039,plain,
composition(join(sk1,join(one,one)),iPr_def_10) = join(iPr_def_10,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_21035,c_64,c_63]) ).
tcf(c_21042,plain,
! [X0: $i] : composition(join(X0,join(sk1,one)),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_21032,c_64,c_63]) ).
tcf(c_21043,plain,
! [X0: $i] : composition(join(sk1,join(one,X0)),iPr_def_10) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_21030,c_64,c_63]) ).
tcf(c_21044,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(join(sk1,one)),iPr_def_11),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_21033,c_3111]) ).
tcf(c_21068,plain,
! [X0: $i] : composition(top,join(one,X0)) = composition(top,one),
inference(superposition,[status(thm)],[c_67,c_11179]) ).
tcf(c_21069,plain,
composition(top,composition(join(one,iPr_def_10),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9786,c_11179]) ).
tcf(c_21070,plain,
! [X0: $i] : composition(top,complement(composition(converse(join(one,X0)),top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7622,c_11179]) ).
tcf(c_21071,plain,
composition(top,composition(join(one,iPr_def_11),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_19586,c_11179]) ).
tcf(c_21084,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(join(X0,one),one),X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_1201,c_11179]) ).
tcf(c_21085,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(join(one,X0),one),X1)) = composition(top,X1),
inference(superposition,[status(thm)],[c_1194,c_11179]) ).
tcf(c_21097,plain,
! [X0: $i] : composition(top,composition(one,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_6002,c_11179]) ).
tcf(c_21098,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(top,X1),composition(join(one,X2),X0)),
inference(superposition,[status(thm)],[c_11179,c_68]) ).
tcf(c_21099,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,composition(composition(join(one,X0),X1),X2)) = composition(composition(top,X1),X2),
inference(superposition,[status(thm)],[c_11179,c_66]) ).
tcf(c_21100,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(one,X1),X2)),composition(top,X2)) = composition(join(X0,top),composition(join(one,X1),X2)),
inference(superposition,[status(thm)],[c_11179,c_68]) ).
tcf(c_21101,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),join(composition(converse(top),complement(composition(top,X1))),X2)) = join(complement(composition(join(one,X0),X1)),X2),
inference(superposition,[status(thm)],[c_11179,c_425]) ).
tcf(c_21103,plain,
! [X0: $i,X1: $i] : join(composition(join(one,X0),X1),composition(top,X1)) = composition(join(one,top),composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11179,c_1194]) ).
tcf(c_21104,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(top),complement(composition(top,X1)))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11179,c_90]) ).
tcf(c_21105,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(one,X0),X1)) = composition(complement(iPr_def_12),composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_13682]) ).
tcf(c_21106,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(one,X0),X1)) = composition(iPr_def_12,composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_9798]) ).
tcf(c_21107,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(one,X0),X1)) = composition(iPr_def_10,composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_9761]) ).
tcf(c_21109,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(one,X0),X1)),top) = converse(composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_2778]) ).
tcf(c_21110,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(one,X0),X1)) = composition(iPr_def_11,composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_470]) ).
tcf(c_21111,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(one,X0),X1)) = composition(sk1,composition(top,X1)),
inference(superposition,[status(thm)],[c_11179,c_467]) ).
tcf(c_21116,plain,
composition(top,composition(join(iPr_def_11,one),top)) = composition(top,top),
inference(theory_normalisation,[status(thm)],[c_21071,c_64,c_63]) ).
tcf(c_21117,plain,
composition(top,composition(join(iPr_def_11,one),top)) = top,
inference(light_normalisation,[status(thm)],[c_21116,c_9558]) ).
tcf(c_21118,plain,
composition(top,composition(join(iPr_def_10,one),top)) = composition(top,top),
inference(theory_normalisation,[status(thm)],[c_21069,c_64,c_63]) ).
tcf(c_21119,plain,
composition(top,composition(join(iPr_def_10,one),top)) = top,
inference(light_normalisation,[status(thm)],[c_21118,c_9558]) ).
tcf(c_21124,plain,
! [X0: $i] : composition(top,complement(composition(join(one,converse(X0)),top))) = composition(top,zero),
inference(light_normalisation,[status(thm)],[c_21070,c_1155]) ).
tcf(c_21126,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),composition(join(one,X1),X0)) = composition(join(top,one),composition(join(one,X1),X0)),
inference(theory_normalisation,[status(thm)],[c_21103,c_64,c_63]) ).
tcf(c_21128,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(one,X0),X1)),composition(top,complement(composition(top,X1)))) = complement(composition(join(one,X0),X1)),
inference(light_normalisation,[status(thm)],[c_21104,c_2759]) ).
tcf(c_21129,plain,
! [X0: $i,X1: $i] : join(composition(top,complement(composition(top,X0))),complement(composition(join(one,X1),X0))) = complement(composition(join(one,X1),X0)),
inference(theory_normalisation,[status(thm)],[c_21128,c_64,c_63]) ).
tcf(c_21130,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(X1,top),composition(join(one,X2),X0)),
inference(theory_normalisation,[status(thm)],[c_21100,c_64,c_63]) ).
tcf(c_21131,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),join(composition(top,complement(composition(top,X1))),X2)) = join(complement(composition(join(one,X0),X1)),X2),
inference(light_normalisation,[status(thm)],[c_21101,c_2759]) ).
tcf(c_21132,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,complement(composition(top,X0))),join(X1,complement(composition(join(one,X2),X0)))) = join(complement(composition(join(one,X2),X0)),X1),
inference(theory_normalisation,[status(thm)],[c_21131,c_64,c_63]) ).
tcf(c_21163,plain,
! [X0: $i] : composition(top,join(X0,one)) = composition(top,one),
inference(superposition,[status(thm)],[c_67,c_11245]) ).
tcf(c_21165,plain,
! [X0: $i] : composition(top,complement(composition(converse(join(X0,one)),top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_7622,c_11245]) ).
tcf(c_21173,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(top,X1),composition(join(X2,one),X0)),
inference(superposition,[status(thm)],[c_11245,c_68]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,composition(composition(join(X0,one),X1),X2)) = composition(composition(top,X1),X2),
inference(superposition,[status(thm)],[c_11245,c_66]) ).
tcf(c_21175,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(X1,one),X2)),composition(top,X2)) = composition(join(X0,top),composition(join(X1,one),X2)),
inference(superposition,[status(thm)],[c_11245,c_68]) ).
tcf(c_21176,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),join(composition(converse(top),complement(composition(top,X1))),X2)) = join(complement(composition(join(X0,one),X1)),X2),
inference(superposition,[status(thm)],[c_11245,c_425]) ).
tcf(c_21178,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,one),X1),composition(top,X1)) = composition(join(one,top),composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11245,c_1194]) ).
tcf(c_21179,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(top),complement(composition(top,X1)))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11245,c_90]) ).
tcf(c_21180,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(X0,one),X1)) = composition(complement(iPr_def_12),composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_13682]) ).
tcf(c_21181,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(X0,one),X1)) = composition(iPr_def_12,composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_9798]) ).
tcf(c_21182,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(X0,one),X1)) = composition(iPr_def_10,composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_9761]) ).
tcf(c_21184,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,one),X1)),top) = converse(composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_2778]) ).
tcf(c_21185,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(join(X0,one),X1)) = composition(iPr_def_11,composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_470]) ).
tcf(c_21186,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(join(X0,one),X1)) = composition(sk1,composition(top,X1)),
inference(superposition,[status(thm)],[c_11245,c_467]) ).
tcf(c_21196,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),composition(join(X1,one),X0)) = composition(join(top,one),composition(join(X1,one),X0)),
inference(theory_normalisation,[status(thm)],[c_21178,c_64,c_63]) ).
tcf(c_21198,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(X0,one),X1)),composition(top,complement(composition(top,X1)))) = complement(composition(join(X0,one),X1)),
inference(light_normalisation,[status(thm)],[c_21179,c_2759]) ).
tcf(c_21199,plain,
! [X0: $i,X1: $i] : join(composition(top,complement(composition(top,X0))),complement(composition(join(X1,one),X0))) = complement(composition(join(X1,one),X0)),
inference(theory_normalisation,[status(thm)],[c_21198,c_64,c_63]) ).
tcf(c_21200,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(X1,top),composition(join(X2,one),X0)),
inference(theory_normalisation,[status(thm)],[c_21175,c_64,c_63]) ).
tcf(c_21201,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),join(composition(top,complement(composition(top,X1))),X2)) = join(complement(composition(join(X0,one),X1)),X2),
inference(light_normalisation,[status(thm)],[c_21176,c_2759]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,complement(composition(top,X0))),join(X1,complement(composition(join(X2,one),X0)))) = join(complement(composition(join(X2,one),X0)),X1),
inference(theory_normalisation,[status(thm)],[c_21201,c_64,c_63]) ).
tcf(c_21282,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(converse(join(X0,X1)),join(X2,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_422,c_11490]) ).
tcf(c_21285,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(X0),join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_425,c_11490]) ).
tcf(c_21286,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12683,c_11490]) ).
tcf(c_21306,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(converse(join(X1,X2)),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_422,c_11490]) ).
tcf(c_21309,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(X1),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_425,c_11490]) ).
tcf(c_21311,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12680,c_11490]) ).
tcf(c_21326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(X3,iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_64,c_11490]) ).
tcf(c_21333,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),complement(top))) = top,
inference(superposition,[status(thm)],[c_11490,c_433]) ).
tcf(c_21334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_11490,c_64]) ).
tcf(c_21337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(X3,iPr_def_12))))) = join(X0,top),
inference(superposition,[status(thm)],[c_11490,c_209]) ).
tcf(c_21338,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_10,join(X1,join(X2,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_11490,c_209]) ).
tcf(c_21347,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_21311,c_64,c_63]) ).
tcf(c_21352,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_21309,c_64,c_63]) ).
tcf(c_21353,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_21285,c_64,c_63]) ).
tcf(c_21356,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_21306,c_64,c_63]) ).
tcf(c_21357,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_21282,c_64,c_63]) ).
tcf(c_21358,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21333,c_64,c_63]) ).
tcf(c_21359,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_21358,c_121]) ).
tcf(c_21361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,X3))))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_21334,c_64,c_63]) ).
tcf(c_21367,plain,
join(iPr_def_11,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_2348,c_121,c_235,c_12647]) ).
tcf(c_21368,plain,
join(top,complement(join(zero,top))) = top,
inference(light_normalisation,[status(thm)],[c_2660,c_3052]) ).
tcf(c_21369,plain,
join(iPr_def_10,complement(join(iPr_def_11,iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2667,c_2962]) ).
tcf(c_21370,plain,
! [X0: $i] : join(zero,join(X0,iPr_def_10)) = join(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_2798,c_2962]) ).
tcf(c_21371,plain,
join(iPr_def_11,complement(join(zero,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_2809,c_2962,c_3111]) ).
tcf(c_21380,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,converse(X2)))) = join(converse(join(X1,X0)),X2),
inference(superposition,[status(thm)],[c_209,c_434]) ).
tcf(c_21381,plain,
! [X0: $i,X1: $i] : join(converse(join(zero,X0)),X1) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_2951,c_434]) ).
tcf(c_21382,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),converse(X1))),X2) = converse(join(converse(join(X0,X1)),converse(X2))),
inference(superposition,[status(thm)],[c_422,c_434]) ).
tcf(c_21383,plain,
! [X0: $i,X1: $i] : join(converse(join(join(X0,converse(X1)),X0)),X1) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_3114,c_434]) ).
tcf(c_21384,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,complement(X0))),X1) = converse(top),
inference(superposition,[status(thm)],[c_2645,c_434]) ).
tcf(c_21385,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))),X2) = converse(join(complement(X0),converse(X2))),
inference(superposition,[status(thm)],[c_425,c_434]) ).
tcf(c_21387,plain,
! [X0: $i] : join(converse(join(iPr_def_11,iPr_def_12)),X0) = converse(join(converse(X0),iPr_def_11)),
inference(superposition,[status(thm)],[c_12680,c_434]) ).
tcf(c_21388,plain,
! [X0: $i,X1: $i] : join(converse(join(top,X0)),X1) = converse(top),
inference(superposition,[status(thm)],[c_2640,c_434]) ).
tcf(c_21389,plain,
! [X0: $i] : join(converse(join(iPr_def_10,iPr_def_11)),X0) = converse(top),
inference(superposition,[status(thm)],[c_2643,c_434]) ).
tcf(c_21390,plain,
! [X0: $i] : join(converse(join(one,converse(complement(one)))),X0) = converse(top),
inference(superposition,[status(thm)],[c_3640,c_434]) ).
tcf(c_21391,plain,
! [X0: $i] : join(converse(join(one,X0)),complement(one)) = converse(top),
inference(superposition,[status(thm)],[c_3639,c_434]) ).
tcf(c_21392,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X0)),X1) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_3159,c_434]) ).
tcf(c_21393,plain,
! [X0: $i] : join(converse(join(iPr_def_10,iPr_def_12)),X0) = converse(top),
inference(superposition,[status(thm)],[c_9850,c_434]) ).
tcf(c_21394,plain,
! [X0: $i] : join(converse(join(iPr_def_11,complement(iPr_def_12))),X0) = converse(top),
inference(superposition,[status(thm)],[c_12661,c_434]) ).
tcf(c_21395,plain,
! [X0: $i] : join(converse(join(iPr_def_10,composition(top,iPr_def_11))),X0) = converse(top),
inference(superposition,[status(thm)],[c_13359,c_434]) ).
tcf(c_21396,plain,
! [X0: $i] : join(converse(join(iPr_def_10,complement(sk1))),X0) = converse(top),
inference(superposition,[status(thm)],[c_13660,c_434]) ).
tcf(c_21397,plain,
! [X0: $i] : join(converse(join(iPr_def_10,composition(top,iPr_def_12))),X0) = converse(top),
inference(superposition,[status(thm)],[c_16699,c_434]) ).
tcf(c_21400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : converse(join(X0,join(X1,join(X2,converse(X3))))) = join(converse(join(X0,join(X1,X2))),X3),
inference(superposition,[status(thm)],[c_64,c_434]) ).
tcf(c_21401,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,converse(X1))),X2) = converse(join(X0,converse(join(X1,X2)))),
inference(superposition,[status(thm)],[c_70,c_434]) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,zero)),X1) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_2951,c_434]) ).
tcf(c_21403,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(X1))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_2767,c_434]) ).
tcf(c_21404,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,converse(X1))),X1) = converse(join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_3114,c_434]) ).
tcf(c_21405,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,top)),X1) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_2640,c_434]) ).
tcf(c_21406,plain,
! [X0: $i] : join(converse(join(X0,one)),complement(one)) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_2766,c_434]) ).
tcf(c_21408,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,one)),join(X1,complement(one))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_3775,c_434]) ).
tcf(c_21409,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,one)),join(X1,join(X2,complement(one)))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_4932,c_434]) ).
tcf(c_21410,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(X2)) = converse(join(X0,join(X1,X2))),
inference(superposition,[status(thm)],[c_69,c_434]) ).
tcf(c_21411,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),top) = converse(join(X0,join(X1,top))),
inference(superposition,[status(thm)],[c_2759,c_434]) ).
tcf(c_21412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(converse(X2),X3)) = converse(join(X0,join(X1,join(converse(X3),X2)))),
inference(superposition,[status(thm)],[c_312,c_434]) ).
tcf(c_21413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(converse(X2),X3)) = converse(join(X0,join(X1,join(X2,converse(X3))))),
inference(superposition,[status(thm)],[c_250,c_434]) ).
tcf(c_21414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(X2,converse(X3))) = converse(join(X0,join(X1,join(X3,converse(X2))))),
inference(superposition,[status(thm)],[c_264,c_434]) ).
tcf(c_21417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),composition(converse(X2),X3)) = converse(join(X0,join(X1,composition(converse(X3),X2)))),
inference(superposition,[status(thm)],[c_257,c_434]) ).
tcf(c_21418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,composition(join(X2,converse(X3)),converse(X4))))) = join(converse(join(X0,X1)),composition(X4,join(converse(X2),X3))),
inference(superposition,[status(thm)],[c_271,c_434]) ).
tcf(c_21419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,composition(converse(X2),join(X3,converse(X4)))))) = join(converse(join(X0,X1)),composition(join(converse(X3),X4),X2)),
inference(superposition,[status(thm)],[c_274,c_434]) ).
tcf(c_21421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,composition(join(converse(X2),X3),converse(X4))))) = join(converse(join(X0,X1)),composition(X4,join(X2,converse(X3)))),
inference(superposition,[status(thm)],[c_321,c_434]) ).
tcf(c_21422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,composition(converse(X2),join(converse(X3),X4))))) = join(converse(join(X0,X1)),composition(join(X3,converse(X4)),X2)),
inference(superposition,[status(thm)],[c_325,c_434]) ).
tcf(c_21423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,join(composition(X2,converse(X3)),converse(X4))))) = join(converse(join(X0,X1)),join(composition(X3,converse(X2)),X4)),
inference(superposition,[status(thm)],[c_354,c_434]) ).
tcf(c_21424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : converse(join(X0,join(X1,join(converse(X2),composition(X3,converse(X4)))))) = join(converse(join(X0,X1)),join(X2,composition(X4,converse(X3)))),
inference(superposition,[status(thm)],[c_359,c_434]) ).
tcf(c_21425,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),zero) = converse(join(X0,join(X1,zero))),
inference(superposition,[status(thm)],[c_3363,c_434]) ).
tcf(c_21428,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,join(one,converse(X2))))) = join(converse(join(X0,X1)),join(X2,one)),
inference(superposition,[status(thm)],[c_1161,c_434]) ).
tcf(c_21429,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,composition(converse(X2),top)))) = join(converse(join(X0,X1)),composition(top,X2)),
inference(superposition,[status(thm)],[c_2778,c_434]) ).
tcf(c_21430,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,composition(top,converse(X2))))) = join(converse(join(X0,X1)),composition(X2,top)),
inference(superposition,[status(thm)],[c_2776,c_434]) ).
tcf(c_21431,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(X0,join(X1,converse(X2))),complement(join(converse(join(X0,X1)),X2)))) = complement(one),
inference(superposition,[status(thm)],[c_434,c_7885]) ).
tcf(c_21432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(join(join(X0,join(X1,converse(X2))),X3)),X4) = join(join(converse(join(X0,X1)),X2),join(converse(X3),X4)),
inference(superposition,[status(thm)],[c_434,c_422]) ).
tcf(c_21433,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(X1,converse(X2))),complement(composition(join(converse(join(X0,X1)),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_434,c_7811]) ).
tcf(c_21434,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(converse(join(X0,X1)),X2),complement(composition(join(X0,join(X1,converse(X2))),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_434,c_3025]) ).
tcf(c_21435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,join(X1,converse(X2))),converse(X3)),converse(X4)) = converse(join(composition(X3,join(converse(join(X0,X1)),X2)),X4)),
inference(superposition,[status(thm)],[c_434,c_354]) ).
tcf(c_21436,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),composition(join(converse(join(X0,X1)),X2),complement(join(X0,join(X1,converse(X2)))))) = complement(one),
inference(superposition,[status(thm)],[c_434,c_385]) ).
tcf(c_21437,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(converse(join(X0,X1)),X2),complement(composition(join(X0,join(X1,converse(X2))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_434,c_379]) ).
tcf(c_21438,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,converse(X2))),complement(composition(join(converse(join(X0,X1)),X2),top))) = zero,
inference(superposition,[status(thm)],[c_434,c_7622]) ).
tcf(c_21439,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(join(X0,X1)),X2),complement(composition(join(X0,join(X1,converse(X2))),top))) = zero,
inference(superposition,[status(thm)],[c_434,c_7621]) ).
tcf(c_21440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(join(X0,join(X1,converse(X2))),converse(X3)),converse(X4)) = converse(composition(X4,join(join(converse(join(X0,X1)),X2),X3))),
inference(superposition,[status(thm)],[c_434,c_271]) ).
tcf(c_21441,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,converse(X2))),converse(complement(join(converse(join(X0,X1)),X2)))) = top,
inference(superposition,[status(thm)],[c_434,c_2767]) ).
tcf(c_21442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(X2,converse(X3)))) = converse(join(join(converse(join(X1,X2)),X3),X0)),
inference(superposition,[status(thm)],[c_434,c_312]) ).
tcf(c_21443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,join(X2,converse(X3)))) = converse(composition(join(converse(join(X1,X2)),X3),X0)),
inference(superposition,[status(thm)],[c_434,c_257]) ).
tcf(c_21444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,converse(X2))),converse(X3)) = converse(join(join(converse(join(X0,X1)),X2),X3)),
inference(superposition,[status(thm)],[c_434,c_250]) ).
tcf(c_21446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(converse(join(X0,X1)),X2),converse(X3)) = converse(join(join(X0,join(X1,converse(X2))),X3)),
inference(superposition,[status(thm)],[c_434,c_70]) ).
tcf(c_21447,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(converse(join(X0,X1)),X2)) = join(X0,join(X1,converse(X2))),
inference(superposition,[status(thm)],[c_434,c_69]) ).
tcf(c_21448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(composition(join(converse(join(X1,X2)),X3),complement(composition(join(X1,join(X2,converse(X3))),X0))),X4)) = join(complement(X0),X4),
inference(superposition,[status(thm)],[c_434,c_425]) ).
tcf(c_21449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(join(X0,join(X1,join(X2,converse(X3))))),X4) = join(converse(X0),join(join(converse(join(X1,X2)),X3),X4)),
inference(superposition,[status(thm)],[c_434,c_422]) ).
tcf(c_21450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,join(X2,converse(X3))),composition(converse(X4),complement(composition(X4,composition(join(converse(join(X1,X2)),X3),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_15012]) ).
tcf(c_21451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(join(converse(join(X1,X2)),X3),X4),complement(composition(join(join(X1,join(X2,converse(X3))),converse(X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_382]) ).
tcf(c_21452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(join(X1,join(X2,converse(X3))),converse(X4)),complement(composition(join(join(converse(join(X1,X2)),X3),X4),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_381]) ).
tcf(c_21454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(X0),composition(join(X1,join(X2,converse(X3))),converse(X4))) = converse(join(X0,composition(X4,join(converse(join(X1,X2)),X3)))),
inference(superposition,[status(thm)],[c_434,c_359]) ).
tcf(c_21455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),join(X1,join(X2,converse(X3)))),converse(X4)) = converse(composition(X4,join(X0,join(converse(join(X1,X2)),X3)))),
inference(superposition,[status(thm)],[c_434,c_321]) ).
tcf(c_21456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(join(X1,join(X2,converse(X3))),converse(X4))) = converse(composition(join(join(converse(join(X1,X2)),X3),X4),X0)),
inference(superposition,[status(thm)],[c_434,c_274]) ).
tcf(c_21457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,converse(X2))),converse(X3)) = converse(join(X3,join(converse(join(X0,X1)),X2))),
inference(superposition,[status(thm)],[c_434,c_264]) ).
tcf(c_21459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,converse(X2))),converse(X3)) = converse(composition(X3,join(converse(join(X0,X1)),X2))),
inference(superposition,[status(thm)],[c_434,c_256]) ).
tcf(c_21460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(X2,converse(X3)))) = converse(join(X0,join(converse(join(X1,X2)),X3))),
inference(superposition,[status(thm)],[c_434,c_251]) ).
tcf(c_21462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(join(X1,X2)),X3)) = converse(join(X0,join(X1,join(X2,converse(X3))))),
inference(superposition,[status(thm)],[c_434,c_70]) ).
tcf(c_21463,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),X1)),X2) = join(converse(join(X1,converse(X2))),X0),
inference(superposition,[status(thm)],[c_434,c_312]) ).
tcf(c_21464,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),X1)),X2) = join(X0,converse(join(X1,converse(X2)))),
inference(superposition,[status(thm)],[c_434,c_250]) ).
tcf(c_21465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(join(X0,X1)),join(X2,join(X3,converse(X4)))) = converse(join(X0,join(X1,join(converse(join(X2,X3)),X4)))),
inference(superposition,[status(thm)],[c_434,c_434]) ).
tcf(c_21466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(X1,composition(join(converse(join(X2,X3)),X4),complement(composition(join(X2,join(X3,converse(X4))),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_15012]) ).
tcf(c_21467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(X1),join(X2,join(X3,converse(X4)))),complement(composition(join(X1,join(converse(join(X2,X3)),X4)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_382]) ).
tcf(c_21468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,join(converse(join(X2,X3)),X4)),complement(composition(join(converse(X1),join(X2,join(X3,converse(X4)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_434,c_381]) ).
tcf(c_21469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(converse(X1),join(X2,join(X3,converse(X4))))) = converse(composition(join(X1,join(converse(join(X2,X3)),X4)),X0)),
inference(superposition,[status(thm)],[c_434,c_325]) ).
tcf(c_21470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,converse(X3)))) = join(converse(join(composition(X1,converse(X0)),X2)),X3),
inference(superposition,[status(thm)],[c_434,c_354]) ).
tcf(c_21471,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,converse(X1)))) = join(converse(join(one,X0)),X1),
inference(superposition,[status(thm)],[c_434,c_1155]) ).
tcf(c_21478,plain,
! [X0: $i] : join(complement(one),converse(join(one,X0))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_21391,c_64,c_63]) ).
tcf(c_21479,plain,
! [X0: $i] : join(complement(one),join(one,converse(X0))) = top,
inference(light_normalisation,[status(thm)],[c_21478,c_1155,c_2759]) ).
tcf(c_21480,plain,
! [X0: $i] : join(one,join(complement(one),converse(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_21479,c_64,c_63]) ).
tcf(c_21486,plain,
! [X0: $i] : join(complement(one),converse(join(X0,one))) = converse(join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_21406,c_64,c_63]) ).
tcf(c_21491,plain,
! [X0: $i] : join(converse(join(iPr_def_11,iPr_def_12)),X0) = converse(join(iPr_def_11,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_21387,c_64,c_63]) ).
tcf(c_21492,plain,
! [X0: $i] : converse(join(iPr_def_11,converse(X0))) = join(converse(iPr_def_11),X0),
inference(light_normalisation,[status(thm)],[c_21491,c_12684]) ).
tcf(c_21495,plain,
! [X0: $i,X1: $i] : join(zero,converse(join(X0,X1))) = converse(join(X0,join(X1,zero))),
inference(theory_normalisation,[status(thm)],[c_21425,c_64,c_63]) ).
tcf(c_21496,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(X1,zero))) = join(converse(X0),converse(X1)),
inference(light_normalisation,[status(thm)],[c_21495,c_16997]) ).
tcf(c_21497,plain,
! [X0: $i,X1: $i] : join(top,converse(join(X0,X1))) = converse(join(X0,join(X1,top))),
inference(theory_normalisation,[status(thm)],[c_21411,c_64,c_63]) ).
tcf(c_21498,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(X1,top))) = join(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_21497,c_16990]) ).
tcf(c_21499,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(X0)))) = converse(join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_21404,c_64,c_63]) ).
tcf(c_21500,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),converse(join(X1,X0))) = converse(join(X1,top)),
inference(theory_normalisation,[status(thm)],[c_21403,c_64,c_63]) ).
tcf(c_21504,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,converse(join(X1,one)))) = converse(join(X1,top)),
inference(theory_normalisation,[status(thm)],[c_21408,c_64,c_63]) ).
tcf(c_21507,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,converse(X2)))) = join(join(converse(X1),X0),X2),
inference(light_normalisation,[status(thm)],[c_21464,c_312]) ).
tcf(c_21508,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,converse(X2)))) = join(converse(X1),join(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_21507,c_64,c_63]) ).
tcf(c_21509,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,converse(X1))),X2) = join(join(converse(X0),X2),X1),
inference(light_normalisation,[status(thm)],[c_21463,c_312]) ).
tcf(c_21510,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),X2) = join(join(X2,converse(X0)),X1),
inference(light_normalisation,[status(thm)],[c_21509,c_264]) ).
tcf(c_21511,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,converse(join(X1,X2)))) = join(join(X1,converse(X0)),X2),
inference(light_normalisation,[status(thm)],[c_21401,c_264]) ).
tcf(c_21512,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,converse(join(X1,X2)))) = join(X1,join(converse(X0),X2)),
inference(theory_normalisation,[status(thm)],[c_21511,c_64,c_63]) ).
tcf(c_21513,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,join(converse(X0),X1)))) = converse(join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_21383,c_64,c_63]) ).
tcf(c_21514,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(one),join(X0,join(X1,converse(join(X2,one))))) = converse(join(X2,top)),
inference(theory_normalisation,[status(thm)],[c_21409,c_64,c_63]) ).
tcf(c_21515,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(X2),converse(complement(join(converse(join(X0,X1)),X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21441,c_64,c_63]) ).
tcf(c_21516,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(converse(X0),converse(X1))),X2) = converse(join(converse(X0),converse(join(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_21382,c_16903]) ).
tcf(c_21517,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,join(one,converse(X2))))) = join(one,join(X2,converse(join(X0,X1)))),
inference(theory_normalisation,[status(thm)],[c_21428,c_64,c_63]) ).
tcf(c_21520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(converse(X2),converse(X3)))) = converse(join(X3,join(converse(join(X0,X1)),X2))),
inference(theory_normalisation,[status(thm)],[c_21457,c_64,c_63]) ).
tcf(c_21521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(join(X0,X1)),join(X2,converse(X3))) = converse(join(X0,join(X1,join(converse(X2),X3)))),
inference(theory_normalisation,[status(thm)],[c_21446,c_64,c_63]) ).
tcf(c_21522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(converse(X2),converse(X3)))) = converse(join(converse(join(X0,X1)),join(X2,X3))),
inference(theory_normalisation,[status(thm)],[c_21444,c_64,c_63]) ).
tcf(c_21523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(X1,join(X2,converse(X3)))) = converse(join(converse(join(X1,X2)),join(X3,X0))),
inference(theory_normalisation,[status(thm)],[c_21442,c_64,c_63]) ).
tcf(c_21525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(X0),join(converse(join(X1,X2)),X3)) = converse(join(X0,join(X1,join(converse(X3),X2)))),
inference(light_normalisation,[status(thm)],[c_21412,c_16953]) ).
tcf(c_21526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,converse(X3)))) = join(join(composition(X0,converse(X1)),converse(X2)),X3),
inference(light_normalisation,[status(thm)],[c_21470,c_354]) ).
tcf(c_21527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,converse(X3)))) = join(composition(X0,converse(X1)),join(converse(X2),X3)),
inference(theory_normalisation,[status(thm)],[c_21526,c_64,c_63]) ).
tcf(c_21528,plain,
! [X0: $i,X1: $i] : converse(join(complement(X0),converse(X1))) = join(converse(complement(X0)),X1),
inference(light_normalisation,[status(thm)],[c_21385,c_90]) ).
tcf(c_21529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(join(X0,join(X1,join(X2,converse(X3))))),X4) = join(converse(X0),join(converse(join(X1,X2)),join(X3,X4))),
inference(theory_normalisation,[status(thm)],[c_21449,c_64,c_63]) ).
tcf(c_21530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(converse(join(X0,join(X1,join(converse(X2),X3)))),X4) = join(converse(join(X0,X1)),join(X2,join(converse(X3),X4))),
inference(theory_normalisation,[status(thm)],[c_21432,c_64,c_63]) ).
tcf(c_21531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),join(X1,join(X2,join(converse(X3),converse(X4))))) = converse(composition(join(converse(join(X1,X2)),join(X3,X4)),X0)),
inference(theory_normalisation,[status(thm)],[c_21456,c_64,c_63]) ).
tcf(c_21532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(X0,join(X1,join(converse(X2),converse(X3)))),converse(X4)) = converse(composition(X4,join(converse(join(X0,X1)),join(X2,X3)))),
inference(theory_normalisation,[status(thm)],[c_21440,c_64,c_63]) ).
tcf(c_21533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(X1,join(X2,join(converse(X3),converse(X4)))),complement(composition(join(converse(join(X1,X2)),join(X3,X4)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_21452,c_64,c_63]) ).
tcf(c_21534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),composition(join(converse(join(X1,X2)),join(X3,X4)),complement(composition(join(X1,join(X2,join(converse(X3),converse(X4)))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_21451,c_64,c_63]) ).
tcf(c_21768,plain,
! [X0: $i] : composition(iPr_def_10,join(one,X0)) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_11598]) ).
tcf(c_21769,plain,
composition(iPr_def_10,composition(join(one,iPr_def_10),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9786,c_11598]) ).
tcf(c_21770,plain,
! [X0: $i] : composition(iPr_def_10,complement(composition(converse(join(one,X0)),top))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7622,c_11598]) ).
tcf(c_21771,plain,
composition(iPr_def_10,composition(join(one,iPr_def_11),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_19586,c_11598]) ).
tcf(c_21784,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(composition(join(X0,one),one),X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1201,c_11598]) ).
tcf(c_21785,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(composition(join(one,X0),one),X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1194,c_11598]) ).
tcf(c_21798,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(iPr_def_10,X1),composition(join(one,X2),X0)),
inference(superposition,[status(thm)],[c_11598,c_68]) ).
tcf(c_21799,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,composition(composition(join(one,X0),X1),X2)) = composition(composition(iPr_def_10,X1),X2),
inference(superposition,[status(thm)],[c_11598,c_66]) ).
tcf(c_21800,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(one,X1),X2)),composition(iPr_def_10,X2)) = composition(join(X0,iPr_def_10),composition(join(one,X1),X2)),
inference(superposition,[status(thm)],[c_11598,c_68]) ).
tcf(c_21801,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X1))),X2)) = join(complement(composition(join(one,X0),X1)),X2),
inference(superposition,[status(thm)],[c_11598,c_425]) ).
tcf(c_21803,plain,
! [X0: $i,X1: $i] : join(composition(join(one,X0),X1),composition(iPr_def_10,X1)) = composition(join(one,iPr_def_10),composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11598,c_1194]) ).
tcf(c_21804,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X1)))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11598,c_90]) ).
tcf(c_21811,plain,
composition(iPr_def_10,composition(join(iPr_def_11,one),top)) = composition(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_21771,c_64,c_63]) ).
tcf(c_21812,plain,
composition(iPr_def_10,composition(join(iPr_def_11,one),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21811,c_9663]) ).
tcf(c_21813,plain,
composition(iPr_def_10,composition(join(iPr_def_10,one),top)) = composition(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_21769,c_64,c_63]) ).
tcf(c_21814,plain,
composition(iPr_def_10,composition(join(iPr_def_10,one),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21813,c_9663]) ).
tcf(c_21815,plain,
! [X0: $i] : composition(iPr_def_10,complement(composition(join(one,converse(X0)),top))) = composition(iPr_def_10,zero),
inference(light_normalisation,[status(thm)],[c_21770,c_1155]) ).
tcf(c_21816,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(join(one,X1),X0)) = composition(join(iPr_def_10,one),composition(join(one,X1),X0)),
inference(theory_normalisation,[status(thm)],[c_21803,c_64,c_63]) ).
tcf(c_21818,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(X1,iPr_def_10),composition(join(one,X2),X0)),
inference(theory_normalisation,[status(thm)],[c_21800,c_64,c_63]) ).
tcf(c_21852,plain,
! [X0: $i] : composition(iPr_def_12,join(one,X0)) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_67,c_11670]) ).
tcf(c_21853,plain,
composition(iPr_def_12,composition(join(one,iPr_def_10),top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_9786,c_11670]) ).
tcf(c_21854,plain,
! [X0: $i] : composition(iPr_def_12,complement(composition(converse(join(one,X0)),top))) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_7622,c_11670]) ).
tcf(c_21855,plain,
composition(iPr_def_12,composition(join(one,iPr_def_11),top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_19586,c_11670]) ).
tcf(c_21868,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(composition(join(X0,one),one),X1)) = composition(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_1201,c_11670]) ).
tcf(c_21869,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,composition(composition(join(one,X0),one),X1)) = composition(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_1194,c_11670]) ).
tcf(c_21882,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(iPr_def_12,X1),composition(join(one,X2),X0)),
inference(superposition,[status(thm)],[c_11670,c_68]) ).
tcf(c_21883,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,composition(composition(join(one,X0),X1),X2)) = composition(composition(iPr_def_12,X1),X2),
inference(superposition,[status(thm)],[c_11670,c_66]) ).
tcf(c_21884,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(one,X1),X2)),composition(iPr_def_12,X2)) = composition(join(X0,iPr_def_12),composition(join(one,X1),X2)),
inference(superposition,[status(thm)],[c_11670,c_68]) ).
tcf(c_21885,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_12,X1))),X2)) = join(complement(composition(join(one,X0),X1)),X2),
inference(superposition,[status(thm)],[c_11670,c_425]) ).
tcf(c_21887,plain,
! [X0: $i,X1: $i] : join(composition(join(one,X0),X1),composition(iPr_def_12,X1)) = composition(join(one,iPr_def_12),composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11670,c_1194]) ).
tcf(c_21888,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(iPr_def_12),complement(composition(iPr_def_12,X1)))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11670,c_90]) ).
tcf(c_21897,plain,
composition(iPr_def_12,composition(join(iPr_def_11,one),top)) = composition(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_21855,c_64,c_63]) ).
tcf(c_21898,plain,
composition(iPr_def_12,composition(join(iPr_def_11,one),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_21897,c_9664]) ).
tcf(c_21899,plain,
composition(iPr_def_12,composition(join(iPr_def_10,one),top)) = composition(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_21853,c_64,c_63]) ).
tcf(c_21900,plain,
composition(iPr_def_12,composition(join(iPr_def_10,one),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_21899,c_9664]) ).
tcf(c_21901,plain,
! [X0: $i] : composition(iPr_def_12,complement(composition(join(one,converse(X0)),top))) = composition(iPr_def_12,zero),
inference(light_normalisation,[status(thm)],[c_21854,c_1155]) ).
tcf(c_21902,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(join(one,X1),X0)) = composition(join(iPr_def_12,one),composition(join(one,X1),X0)),
inference(theory_normalisation,[status(thm)],[c_21887,c_64,c_63]) ).
tcf(c_21904,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(join(one,X2),X0))) = composition(join(X1,iPr_def_12),composition(join(one,X2),X0)),
inference(theory_normalisation,[status(thm)],[c_21884,c_64,c_63]) ).
tcf(c_21914,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,one)) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_11717]) ).
tcf(c_21916,plain,
! [X0: $i] : composition(iPr_def_10,complement(composition(converse(join(X0,one)),top))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7622,c_11717]) ).
tcf(c_21924,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(iPr_def_10,X1),composition(join(X2,one),X0)),
inference(superposition,[status(thm)],[c_11717,c_68]) ).
tcf(c_21925,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,composition(composition(join(X0,one),X1),X2)) = composition(composition(iPr_def_10,X1),X2),
inference(superposition,[status(thm)],[c_11717,c_66]) ).
tcf(c_21926,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(X1,one),X2)),composition(iPr_def_10,X2)) = composition(join(X0,iPr_def_10),composition(join(X1,one),X2)),
inference(superposition,[status(thm)],[c_11717,c_68]) ).
tcf(c_21927,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X1))),X2)) = join(complement(composition(join(X0,one),X1)),X2),
inference(superposition,[status(thm)],[c_11717,c_425]) ).
tcf(c_21929,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,one),X1),composition(iPr_def_10,X1)) = composition(join(one,iPr_def_10),composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11717,c_1194]) ).
tcf(c_21930,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X1)))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11717,c_90]) ).
tcf(c_21938,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(join(X1,one),X0)) = composition(join(iPr_def_10,one),composition(join(X1,one),X0)),
inference(theory_normalisation,[status(thm)],[c_21929,c_64,c_63]) ).
tcf(c_21940,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(X1,iPr_def_10),composition(join(X2,one),X0)),
inference(theory_normalisation,[status(thm)],[c_21926,c_64,c_63]) ).
tcf(c_21973,plain,
! [X0: $i] : join(zero,join(complement(X0),X0)) = top,
inference(light_normalisation,[status(thm)],[c_2844,c_2961]) ).
tcf(c_21981,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = top,
inference(superposition,[status(thm)],[c_312,c_3778]) ).
tcf(c_21982,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_250,c_3778]) ).
tcf(c_21991,plain,
! [X0: $i] : join(X0,converse(top)) = top,
inference(superposition,[status(thm)],[c_2640,c_3778]) ).
tcf(c_21992,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_69,c_3778]) ).
tcf(c_21993,plain,
! [X0: $i] : join(top,converse(join(X0,complement(top)))) = top,
inference(superposition,[status(thm)],[c_2759,c_3778]) ).
tcf(c_21994,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(join(X2,complement(join(converse(X1),X0))))) = top,
inference(superposition,[status(thm)],[c_312,c_3778]) ).
tcf(c_21995,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(join(X2,complement(join(X0,converse(X1)))))) = top,
inference(superposition,[status(thm)],[c_250,c_3778]) ).
tcf(c_21996,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(join(X2,complement(join(X1,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_264,c_3778]) ).
tcf(c_21997,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(join(X2,complement(join(converse(X0),X1))))) = top,
inference(superposition,[status(thm)],[c_251,c_3778]) ).
tcf(c_21999,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),converse(join(X2,complement(composition(converse(X1),X0))))) = top,
inference(superposition,[status(thm)],[c_257,c_3778]) ).
tcf(c_22000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(converse(X1),X2)),converse(join(X3,complement(composition(join(X1,converse(X2)),converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_271,c_3778]) ).
tcf(c_22001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(X0),X1),X2),converse(join(X3,complement(composition(converse(X2),join(X0,converse(X1))))))) = top,
inference(superposition,[status(thm)],[c_274,c_3778]) ).
tcf(c_22002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,converse(X2))),converse(join(X3,complement(join(converse(join(X0,X1)),X2))))) = top,
inference(superposition,[status(thm)],[c_434,c_3778]) ).
tcf(c_22003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,converse(X2))),converse(join(X3,complement(composition(join(converse(X1),X2),converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_321,c_3778]) ).
tcf(c_22004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(X1)),X2),converse(join(X3,complement(composition(converse(X2),join(converse(X0),X1)))))) = top,
inference(superposition,[status(thm)],[c_325,c_3778]) ).
tcf(c_22005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,converse(X1)),X2),converse(join(X3,complement(join(composition(X1,converse(X0)),converse(X2)))))) = top,
inference(superposition,[status(thm)],[c_354,c_3778]) ).
tcf(c_22006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,composition(X1,converse(X2))),converse(join(X3,complement(join(converse(X0),composition(X2,converse(X1))))))) = top,
inference(superposition,[status(thm)],[c_359,c_3778]) ).
tcf(c_22007,plain,
! [X0: $i] : join(zero,converse(join(X0,complement(zero)))) = top,
inference(superposition,[status(thm)],[c_3363,c_3778]) ).
tcf(c_22009,plain,
! [X0: $i,X1: $i] : join(join(one,X0),converse(join(X1,complement(join(one,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_1155,c_3778]) ).
tcf(c_22010,plain,
! [X0: $i,X1: $i] : join(join(X0,one),converse(join(X1,complement(join(one,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_1161,c_3778]) ).
tcf(c_22011,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),converse(join(X1,complement(composition(converse(X0),top))))) = top,
inference(superposition,[status(thm)],[c_2778,c_3778]) ).
tcf(c_22012,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(join(X1,complement(composition(top,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_2776,c_3778]) ).
tcf(c_22014,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(join(X1,complement(converse(X0)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_3778,c_433]) ).
tcf(c_22015,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(join(X1,complement(converse(X0)))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_3778,c_64]) ).
tcf(c_22017,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,converse(join(X2,complement(converse(join(X0,X1))))))) = top,
inference(superposition,[status(thm)],[c_3778,c_64]) ).
tcf(c_22020,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,converse(join(X2,complement(converse(X0)))))) = join(X1,top),
inference(superposition,[status(thm)],[c_3778,c_209]) ).
tcf(c_22021,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(X1,complement(converse(converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_3778,c_70]) ).
tcf(c_22022,plain,
! [X0: $i] : converse(join(X0,complement(converse(zero)))) = top,
inference(superposition,[status(thm)],[c_3778,c_2951]) ).
tcf(c_22025,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,complement(converse(X0)))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_3778,c_321]) ).
tcf(c_22026,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(converse(X1))),converse(X1)) = converse(top),
inference(superposition,[status(thm)],[c_3778,c_264]) ).
tcf(c_22027,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_3778,c_251]) ).
tcf(c_22028,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(converse(join(X1,complement(converse(converse(X0))))))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_3778,c_271]) ).
tcf(c_22030,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(join(X1,complement(converse(converse(X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_3778,c_250]) ).
tcf(c_22031,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(X2,complement(converse(X1)))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_3778,c_434]) ).
tcf(c_22032,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),join(X2,complement(converse(X1)))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3778,c_382]) ).
tcf(c_22033,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(converse(X1),join(X2,complement(converse(X1)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3778,c_381]) ).
tcf(c_22034,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(X2,complement(converse(X1))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3778,c_325]) ).
tcf(c_22035,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(join(X2,complement(converse(converse(X1)))))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_3778,c_422]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(converse(join(X2,complement(converse(converse(X1))))))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3778,c_382]) ).
tcf(c_22037,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(converse(join(X2,complement(converse(converse(X1))))))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3778,c_381]) ).
tcf(c_22038,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(converse(join(X2,complement(converse(converse(X1)))))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3778,c_274]) ).
tcf(c_22039,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(join(X2,complement(converse(composition(X1,converse(X0)))))))) = converse(top),
inference(superposition,[status(thm)],[c_3778,c_354]) ).
tcf(c_22040,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),converse(join(X1,complement(converse(composition(converse(X2),complement(composition(X2,X0)))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_3778,c_425]) ).
tcf(c_22042,plain,
! [X0: $i] : composition(join(iPr_def_11,converse(join(X0,complement(converse(iPr_def_12))))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3778,c_9815]) ).
tcf(c_22043,plain,
! [X0: $i] : join(converse(join(X0,complement(converse(iPr_def_12)))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3778,c_12680]) ).
tcf(c_22046,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(join(X0,complement(converse(sk1))))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3778,c_9784]) ).
tcf(c_22063,plain,
! [X0: $i] : join(one,converse(converse(join(X0,complement(converse(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_3778,c_1155]) ).
tcf(c_22077,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,complement(converse(X0)))) = top,
inference(light_normalisation,[status(thm)],[c_22027,c_2759]) ).
tcf(c_22078,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),complement(converse(X1)))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_22026,c_64,c_63]) ).
tcf(c_22079,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),complement(converse(X1)))) = top,
inference(light_normalisation,[status(thm)],[c_22078,c_2759]) ).
tcf(c_22082,plain,
! [X0: $i] : join(iPr_def_11,converse(join(X0,complement(converse(iPr_def_12))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_22043,c_64,c_63]) ).
tcf(c_22083,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(join(X1,complement(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_22030,c_69,c_2759]) ).
tcf(c_22086,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(top),converse(join(X1,complement(converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22014,c_64,c_63]) ).
tcf(c_22087,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,converse(join(X1,complement(converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_22086,c_121]) ).
tcf(c_22088,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(join(X0,complement(converse(sk1))))),top) = top,
inference(light_normalisation,[status(thm)],[c_22046,c_9558]) ).
tcf(c_22089,plain,
! [X0: $i] : composition(join(iPr_def_11,converse(join(X0,complement(converse(iPr_def_12))))),top) = top,
inference(light_normalisation,[status(thm)],[c_22042,c_9558]) ).
tcf(c_22090,plain,
! [X0: $i,X1: $i] : join(X0,join(one,converse(join(X1,complement(join(one,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22010,c_64,c_63]) ).
tcf(c_22091,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(X1,complement(join(one,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22009,c_64,c_63]) ).
tcf(c_22092,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),join(X1,converse(join(X2,X0)))) = converse(join(X2,top)),
inference(theory_normalisation,[status(thm)],[c_22031,c_64,c_63]) ).
tcf(c_22095,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(join(X2,complement(join(converse(X0),X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21997,c_64,c_63]) ).
tcf(c_22096,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(join(X2,complement(join(X1,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21996,c_64,c_63]) ).
tcf(c_22097,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(join(X2,complement(join(X0,converse(X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21995,c_64,c_63]) ).
tcf(c_22098,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(join(X2,complement(join(converse(X1),X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21994,c_64,c_63]) ).
tcf(c_22099,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(X2,complement(converse(X1))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_22034,c_2778]) ).
tcf(c_22100,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(join(X2,complement(converse(converse(X1)))))) = join(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_22035,c_64,c_63]) ).
tcf(c_22101,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(join(X2,complement(converse(composition(X1,converse(X0)))))))) = top,
inference(light_normalisation,[status(thm)],[c_22039,c_2759]) ).
tcf(c_22102,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(converse(join(X2,complement(converse(converse(X1)))))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_22038,c_2778]) ).
tcf(c_22103,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(converse(join(X1,complement(X0))))),converse(X2)) = converse(composition(X2,top)),
inference(light_normalisation,[status(thm)],[c_22028,c_69]) ).
tcf(c_22104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(converse(X2),converse(join(X3,complement(join(converse(join(X0,X1)),X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22002,c_64,c_63]) ).
tcf(c_22105,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),converse(join(X1,complement(converse(composition(converse(X2),complement(composition(X2,X0)))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_22040,c_64,c_63]) ).
tcf(c_22106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,converse(X2)),converse(join(X3,complement(join(converse(X0),composition(X2,converse(X1)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22006,c_64,c_63]) ).
tcf(c_22107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(X2,converse(join(X3,complement(join(composition(X1,converse(X0)),converse(X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22005,c_64,c_63]) ).
tcf(c_22204,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,X2))) = top,
inference(superposition,[status(thm)],[c_209,c_3811]) ).
tcf(c_22240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),X3)))) = top,
inference(superposition,[status(thm)],[c_209,c_3811]) ).
tcf(c_22253,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(join(X2,one),complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1201,c_3811]) ).
tcf(c_22254,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(join(one,X2),complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1194,c_3811]) ).
tcf(c_22265,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(zero,X1))) = top,
inference(superposition,[status(thm)],[c_121,c_3811]) ).
tcf(c_22272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(complement(X0),X2)),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_3811,c_64]) ).
tcf(c_22275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,X1)),X3)))) = top,
inference(superposition,[status(thm)],[c_3811,c_64]) ).
tcf(c_22278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),X3)))) = join(X1,top),
inference(superposition,[status(thm)],[c_3811,c_209]) ).
tcf(c_22279,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X1),X2))) = top,
inference(superposition,[status(thm)],[c_3811,c_209]) ).
tcf(c_22280,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(zero),X1)) = top,
inference(superposition,[status(thm)],[c_3811,c_2951]) ).
tcf(c_22283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,converse(join(X1,join(complement(converse(X0)),X2)))),converse(X3)) = converse(composition(X3,top)),
inference(superposition,[status(thm)],[c_3811,c_271]) ).
tcf(c_22285,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(complement(converse(X0)),X2)))) = converse(top),
inference(superposition,[status(thm)],[c_3811,c_250]) ).
tcf(c_22287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(join(X2,join(complement(converse(X1)),X3)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3811,c_382]) ).
tcf(c_22288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(X1,converse(join(X2,join(complement(converse(X1)),X3)))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3811,c_381]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(X2,join(complement(converse(X1)),X3))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3811,c_274]) ).
tcf(c_22291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,join(complement(composition(X1,converse(X0))),X3)))) = converse(top),
inference(superposition,[status(thm)],[c_3811,c_354]) ).
tcf(c_22293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(complement(composition(converse(X2),complement(composition(X2,X0)))),X3))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_3811,c_425]) ).
tcf(c_22294,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(complement(X0)),X1)) = top,
inference(superposition,[status(thm)],[c_3811,c_425]) ).
tcf(c_22295,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3811,c_12683]) ).
tcf(c_22296,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3811,c_9815]) ).
tcf(c_22297,plain,
! [X0: $i,X1: $i] : join(join(X0,join(complement(iPr_def_12),X1)),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3811,c_12680]) ).
tcf(c_22299,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),X0)) = top,
inference(superposition,[status(thm)],[c_3811,c_12683]) ).
tcf(c_22302,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(complement(sk1),X1))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3811,c_9784]) ).
tcf(c_22322,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(complement(one),X1)))) = converse(top),
inference(superposition,[status(thm)],[c_3811,c_1155]) ).
tcf(c_22344,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,X0)) = top,
inference(light_normalisation,[status(thm)],[c_22299,c_2962]) ).
tcf(c_22353,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,X1)) = top,
inference(light_normalisation,[status(thm)],[c_22294,c_2961]) ).
tcf(c_22358,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X1,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_22297,c_64,c_63]) ).
tcf(c_22363,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(complement(converse(X0)),X2)))) = top,
inference(light_normalisation,[status(thm)],[c_22285,c_2759]) ).
tcf(c_22369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(complement(X0),join(X2,X3)))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_22272,c_64,c_63]) ).
tcf(c_22371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),converse(join(X2,join(complement(composition(X1,converse(X0))),X3)))) = top,
inference(light_normalisation,[status(thm)],[c_22291,c_2759]) ).
tcf(c_22372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),join(X1,converse(join(X2,join(complement(converse(X1)),X3))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_22289,c_2778]) ).
tcf(c_22373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(complement(composition(converse(X2),complement(composition(X2,X0)))),X3))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_22293,c_64,c_63]) ).
tcf(c_22407,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,one)) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_67,c_11769]) ).
tcf(c_22409,plain,
! [X0: $i] : composition(iPr_def_12,complement(composition(converse(join(X0,one)),top))) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_7622,c_11769]) ).
tcf(c_22417,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(iPr_def_12,X1),composition(join(X2,one),X0)),
inference(superposition,[status(thm)],[c_11769,c_68]) ).
tcf(c_22418,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,composition(composition(join(X0,one),X1),X2)) = composition(composition(iPr_def_12,X1),X2),
inference(superposition,[status(thm)],[c_11769,c_66]) ).
tcf(c_22419,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(join(X1,one),X2)),composition(iPr_def_12,X2)) = composition(join(X0,iPr_def_12),composition(join(X1,one),X2)),
inference(superposition,[status(thm)],[c_11769,c_68]) ).
tcf(c_22420,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),join(composition(converse(iPr_def_12),complement(composition(iPr_def_12,X1))),X2)) = join(complement(composition(join(X0,one),X1)),X2),
inference(superposition,[status(thm)],[c_11769,c_425]) ).
tcf(c_22422,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,one),X1),composition(iPr_def_12,X1)) = composition(join(one,iPr_def_12),composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11769,c_1194]) ).
tcf(c_22423,plain,
! [X0: $i,X1: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(iPr_def_12),complement(composition(iPr_def_12,X1)))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11769,c_90]) ).
tcf(c_22433,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(join(X1,one),X0)) = composition(join(iPr_def_12,one),composition(join(X1,one),X0)),
inference(theory_normalisation,[status(thm)],[c_22422,c_64,c_63]) ).
tcf(c_22435,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(join(X2,one),X0))) = composition(join(X1,iPr_def_12),composition(join(X2,one),X0)),
inference(theory_normalisation,[status(thm)],[c_22419,c_64,c_63]) ).
tcf(c_22456,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(converse(join(X0,X1)),join(X2,one))) = top,
inference(superposition,[status(thm)],[c_422,c_12194]) ).
tcf(c_22459,plain,
! [X0: $i,X1: $i] : composition(top,join(complement(X0),join(X1,one))) = top,
inference(superposition,[status(thm)],[c_425,c_12194]) ).
tcf(c_22460,plain,
! [X0: $i] : composition(top,join(iPr_def_11,join(X0,one))) = top,
inference(superposition,[status(thm)],[c_12683,c_12194]) ).
tcf(c_22480,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(X0,join(converse(join(X1,X2)),one))) = top,
inference(superposition,[status(thm)],[c_422,c_12194]) ).
tcf(c_22483,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,join(complement(X1),one))) = top,
inference(superposition,[status(thm)],[c_425,c_12194]) ).
tcf(c_22485,plain,
! [X0: $i] : composition(top,join(X0,join(one,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12680,c_12194]) ).
tcf(c_22497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(top,join(X0,join(X1,join(X2,join(X3,one))))) = top,
inference(superposition,[status(thm)],[c_64,c_12194]) ).
tcf(c_22500,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_2640,c_12194]) ).
tcf(c_22501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(top,X0),join(X1,join(X2,join(X3,one)))) = join(top,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(superposition,[status(thm)],[c_12194,c_68]) ).
tcf(c_22502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(top,composition(join(X0,join(X1,join(X2,one))),X3)) = composition(top,X3),
inference(superposition,[status(thm)],[c_12194,c_66]) ).
tcf(c_22503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,top),join(X1,join(X2,join(X3,one)))) = join(composition(X0,join(X1,join(X2,join(X3,one)))),top),
inference(superposition,[status(thm)],[c_12194,c_68]) ).
tcf(c_22504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),join(composition(converse(top),complement(top)),X3)) = join(complement(join(X0,join(X1,join(X2,one)))),X3),
inference(superposition,[status(thm)],[c_12194,c_425]) ).
tcf(c_22506,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,top),join(X0,join(X1,join(X2,one)))) = join(join(X0,join(X1,join(X2,one))),top),
inference(superposition,[status(thm)],[c_12194,c_1194]) ).
tcf(c_22507,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(top),complement(top))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12194,c_90]) ).
tcf(c_22508,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,join(X2,one)))),converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_12194,c_271]) ).
tcf(c_22509,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(X1,join(X2,one)))) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_12194,c_13682]) ).
tcf(c_22510,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(X1,join(X2,one)))) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_12194,c_9798]) ).
tcf(c_22511,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(X1,join(X2,one)))) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_12194,c_9761]) ).
tcf(c_22513,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,one)))),top) = converse(top),
inference(superposition,[status(thm)],[c_12194,c_2778]) ).
tcf(c_22514,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(X1,join(X2,one)))) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12194,c_470]) ).
tcf(c_22515,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(X1,join(X2,one)))) = composition(sk1,top),
inference(superposition,[status(thm)],[c_12194,c_467]) ).
tcf(c_22518,plain,
! [X0: $i] : composition(top,join(X0,join(iPr_def_11,one))) = top,
inference(theory_normalisation,[status(thm)],[c_22485,c_64,c_63]) ).
tcf(c_22520,plain,
! [X0: $i,X1: $i] : composition(top,join(X0,join(one,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22483,c_64,c_63]) ).
tcf(c_22521,plain,
! [X0: $i,X1: $i] : composition(top,join(one,join(X0,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22459,c_64,c_63]) ).
tcf(c_22524,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(X0,join(one,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_22480,c_64,c_63]) ).
tcf(c_22525,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,join(one,join(X0,converse(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_22456,c_64,c_63]) ).
tcf(c_22528,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,one)))),top) = top,
inference(light_normalisation,[status(thm)],[c_22513,c_2759]) ).
tcf(c_22532,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,join(X2,one)))),top) = top,
inference(light_normalisation,[status(thm)],[c_22508,c_2759]) ).
tcf(c_22533,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(top,one),join(X0,join(X1,join(X2,one)))) = join(X0,join(X1,join(X2,join(top,one)))),
inference(theory_normalisation,[status(thm)],[c_22506,c_64,c_63]) ).
tcf(c_22535,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(top),complement(top)),complement(join(X0,join(X1,join(X2,one))))) = complement(join(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_22507,c_64,c_63]) ).
tcf(c_22536,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,zero),complement(join(X0,join(X1,join(X2,one))))) = complement(join(X0,join(X1,join(X2,one)))),
inference(light_normalisation,[status(thm)],[c_22535,c_121,c_2759]) ).
tcf(c_22537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,top),join(X1,join(X2,join(X3,one)))) = join(top,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(theory_normalisation,[status(thm)],[c_22503,c_64,c_63]) ).
tcf(c_22538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(top,composition(X0,join(X1,join(X2,join(X3,one))))) = composition(top,join(X1,join(X2,join(X3,one)))),
inference(light_normalisation,[status(thm)],[c_22537,c_2628]) ).
tcf(c_22540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(top),complement(top)),join(X0,complement(join(X1,join(X2,join(X3,one)))))) = join(complement(join(X1,join(X2,join(X3,one)))),X0),
inference(theory_normalisation,[status(thm)],[c_22504,c_64,c_63]) ).
tcf(c_22541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(top,zero),join(X0,complement(join(X1,join(X2,join(X3,one)))))) = join(complement(join(X1,join(X2,join(X3,one)))),X0),
inference(light_normalisation,[status(thm)],[c_22540,c_121,c_2759]) ).
tcf(c_22569,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(converse(join(X0,X1)),join(X2,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_422,c_12257]) ).
tcf(c_22572,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(complement(X0),join(X1,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_425,c_12257]) ).
tcf(c_22573,plain,
! [X0: $i] : composition(iPr_def_10,join(iPr_def_11,join(X0,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12683,c_12257]) ).
tcf(c_22593,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(converse(join(X1,X2)),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_422,c_12257]) ).
tcf(c_22596,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(complement(X1),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_425,c_12257]) ).
tcf(c_22598,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(one,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12680,c_12257]) ).
tcf(c_22610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(iPr_def_10,join(X0,join(X1,join(X2,join(X3,one))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_12257]) ).
tcf(c_22613,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(X1,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2640,c_12257]) ).
tcf(c_22614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(iPr_def_10,X0),join(X1,join(X2,join(X3,one)))) = join(iPr_def_10,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(superposition,[status(thm)],[c_12257,c_68]) ).
tcf(c_22615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(iPr_def_10,composition(join(X0,join(X1,join(X2,one))),X3)) = composition(iPr_def_10,X3),
inference(superposition,[status(thm)],[c_12257,c_66]) ).
tcf(c_22616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,iPr_def_10),join(X1,join(X2,join(X3,one)))) = join(composition(X0,join(X1,join(X2,join(X3,one)))),iPr_def_10),
inference(superposition,[status(thm)],[c_12257,c_68]) ).
tcf(c_22617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),join(composition(converse(iPr_def_10),complement(iPr_def_10)),X3)) = join(complement(join(X0,join(X1,join(X2,one)))),X3),
inference(superposition,[status(thm)],[c_12257,c_425]) ).
tcf(c_22619,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,iPr_def_10),join(X0,join(X1,join(X2,one)))) = join(join(X0,join(X1,join(X2,one))),iPr_def_10),
inference(superposition,[status(thm)],[c_12257,c_1194]) ).
tcf(c_22620,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12257,c_90]) ).
tcf(c_22621,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,join(X2,one)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12257,c_271]) ).
tcf(c_22627,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(iPr_def_11,one))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22598,c_64,c_63]) ).
tcf(c_22629,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(X0,join(one,complement(X1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22596,c_64,c_63]) ).
tcf(c_22630,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(one,join(X0,complement(X1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22572,c_64,c_63]) ).
tcf(c_22633,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(X0,join(one,converse(join(X1,X2))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22593,c_64,c_63]) ).
tcf(c_22634,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,join(one,join(X0,converse(join(X1,X2))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22569,c_64,c_63]) ).
tcf(c_22635,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,one),join(X0,join(X1,join(X2,one)))) = join(X0,join(X1,join(X2,join(iPr_def_10,one)))),
inference(theory_normalisation,[status(thm)],[c_22619,c_64,c_63]) ).
tcf(c_22637,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),complement(join(X0,join(X1,join(X2,one))))) = complement(join(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_22620,c_64,c_63]) ).
tcf(c_22638,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,complement(join(X0,join(X1,join(X2,one))))) = complement(join(X0,join(X1,join(X2,one)))),
inference(light_normalisation,[status(thm)],[c_22637,c_3111,c_9596]) ).
tcf(c_22639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,iPr_def_10),join(X1,join(X2,join(X3,one)))) = join(iPr_def_10,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(theory_normalisation,[status(thm)],[c_22616,c_64,c_63]) ).
tcf(c_22640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(iPr_def_10),complement(iPr_def_10)),join(X0,complement(join(X1,join(X2,join(X3,one)))))) = join(complement(join(X1,join(X2,join(X3,one)))),X0),
inference(theory_normalisation,[status(thm)],[c_22617,c_64,c_63]) ).
tcf(c_22641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(zero,join(X0,complement(join(X1,join(X2,join(X3,one)))))) = join(complement(join(X1,join(X2,join(X3,one)))),X0),
inference(light_normalisation,[status(thm)],[c_22640,c_3111,c_9596]) ).
tcf(c_22678,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(join(complement(converse(X0)),X1)),X2)) = top,
inference(superposition,[status(thm)],[c_434,c_3858]) ).
tcf(c_22679,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(complement(converse(X0))),composition(X1,converse(X2)))) = top,
inference(superposition,[status(thm)],[c_359,c_3858]) ).
tcf(c_22680,plain,
! [X0: $i] : join(X0,join(one,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1161,c_3858]) ).
tcf(c_22698,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(join(X1,one),complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1201,c_3858]) ).
tcf(c_22699,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(join(one,X1),complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1194,c_3858]) ).
tcf(c_22709,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(join(complement(X0),X1))) = top,
inference(superposition,[status(thm)],[c_69,c_3858]) ).
tcf(c_22710,plain,
! [X0: $i] : join(top,converse(join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_2759,c_3858]) ).
tcf(c_22711,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(join(complement(join(converse(X1),X0)),X2))) = top,
inference(superposition,[status(thm)],[c_312,c_3858]) ).
tcf(c_22712,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),converse(join(complement(join(X0,converse(X1))),X2))) = top,
inference(superposition,[status(thm)],[c_250,c_3858]) ).
tcf(c_22713,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(join(complement(join(X1,converse(X0))),X2))) = top,
inference(superposition,[status(thm)],[c_264,c_3858]) ).
tcf(c_22714,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),converse(join(complement(join(converse(X0),X1)),X2))) = top,
inference(superposition,[status(thm)],[c_251,c_3858]) ).
tcf(c_22716,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),converse(join(complement(composition(converse(X1),X0)),X2))) = top,
inference(superposition,[status(thm)],[c_257,c_3858]) ).
tcf(c_22717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(converse(X1),X2)),converse(join(complement(composition(join(X1,converse(X2)),converse(X0))),X3))) = top,
inference(superposition,[status(thm)],[c_271,c_3858]) ).
tcf(c_22718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(X0),X1),X2),converse(join(complement(composition(converse(X2),join(X0,converse(X1)))),X3))) = top,
inference(superposition,[status(thm)],[c_274,c_3858]) ).
tcf(c_22719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,converse(X2))),converse(join(complement(join(converse(join(X0,X1)),X2)),X3))) = top,
inference(superposition,[status(thm)],[c_434,c_3858]) ).
tcf(c_22720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,converse(X2))),converse(join(complement(composition(join(converse(X1),X2),converse(X0))),X3))) = top,
inference(superposition,[status(thm)],[c_321,c_3858]) ).
tcf(c_22721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(X1)),X2),converse(join(complement(composition(converse(X2),join(converse(X0),X1))),X3))) = top,
inference(superposition,[status(thm)],[c_325,c_3858]) ).
tcf(c_22722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,converse(X1)),X2),converse(join(complement(join(composition(X1,converse(X0)),converse(X2))),X3))) = top,
inference(superposition,[status(thm)],[c_354,c_3858]) ).
tcf(c_22723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,composition(X1,converse(X2))),converse(join(complement(join(converse(X0),composition(X2,converse(X1)))),X3))) = top,
inference(superposition,[status(thm)],[c_359,c_3858]) ).
tcf(c_22724,plain,
! [X0: $i] : join(zero,converse(join(complement(zero),X0))) = top,
inference(superposition,[status(thm)],[c_3363,c_3858]) ).
tcf(c_22726,plain,
! [X0: $i,X1: $i] : join(join(one,X0),converse(join(complement(join(one,converse(X0))),X1))) = top,
inference(superposition,[status(thm)],[c_1155,c_3858]) ).
tcf(c_22727,plain,
! [X0: $i,X1: $i] : join(join(X0,one),converse(join(complement(join(one,converse(X0))),X1))) = top,
inference(superposition,[status(thm)],[c_1161,c_3858]) ).
tcf(c_22728,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),converse(join(complement(composition(converse(X0),top)),X1))) = top,
inference(superposition,[status(thm)],[c_2778,c_3858]) ).
tcf(c_22729,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(join(complement(composition(top,converse(X0))),X1))) = top,
inference(superposition,[status(thm)],[c_2776,c_3858]) ).
tcf(c_22731,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(join(complement(converse(X0)),X1)),complement(top))) = top,
inference(superposition,[status(thm)],[c_3858,c_433]) ).
tcf(c_22732,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(join(complement(converse(X0)),X1)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_3858,c_64]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,converse(join(complement(converse(join(X0,X1))),X2)))) = top,
inference(superposition,[status(thm)],[c_3858,c_64]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,converse(join(complement(converse(X0)),X2)))) = join(X1,top),
inference(superposition,[status(thm)],[c_3858,c_209]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(complement(converse(converse(X0))),X1))) = top,
inference(superposition,[status(thm)],[c_3858,c_70]) ).
tcf(c_22739,plain,
! [X0: $i] : converse(join(complement(converse(zero)),X0)) = top,
inference(superposition,[status(thm)],[c_3858,c_2951]) ).
tcf(c_22742,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(complement(converse(X0)),X1)),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_3858,c_321]) ).
tcf(c_22744,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(complement(converse(X0)),X1)) = converse(top),
inference(superposition,[status(thm)],[c_3858,c_251]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(converse(join(complement(converse(converse(X0))),X1)))),converse(X2)) = converse(composition(X2,top)),
inference(superposition,[status(thm)],[c_3858,c_271]) ).
tcf(c_22747,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(join(complement(converse(converse(X0))),X1)))) = converse(top),
inference(superposition,[status(thm)],[c_3858,c_250]) ).
tcf(c_22749,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),join(complement(converse(X1)),X2)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3858,c_382]) ).
tcf(c_22750,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(converse(X1),join(complement(converse(X1)),X2)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3858,c_381]) ).
tcf(c_22751,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(complement(converse(X1)),X2))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3858,c_325]) ).
tcf(c_22752,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(join(complement(converse(converse(X1))),X2))) = join(converse(X0),top),
inference(superposition,[status(thm)],[c_3858,c_422]) ).
tcf(c_22753,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,converse(converse(join(complement(converse(converse(X1))),X2)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3858,c_382]) ).
tcf(c_22754,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(converse(join(complement(converse(converse(X1))),X2)))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3858,c_381]) ).
tcf(c_22755,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(converse(join(complement(converse(converse(X1))),X2))))) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_3858,c_274]) ).
tcf(c_22756,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(join(complement(converse(composition(X1,converse(X0)))),X2)))) = converse(top),
inference(superposition,[status(thm)],[c_3858,c_354]) ).
tcf(c_22758,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),converse(join(complement(converse(composition(converse(X1),complement(composition(X1,X0))))),X2))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_3858,c_425]) ).
tcf(c_22760,plain,
! [X0: $i] : composition(join(iPr_def_11,converse(join(complement(converse(iPr_def_12)),X0))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3858,c_9815]) ).
tcf(c_22761,plain,
! [X0: $i] : join(converse(join(complement(converse(iPr_def_12)),X0)),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3858,c_12680]) ).
tcf(c_22764,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(join(complement(converse(sk1)),X0))),top) = composition(top,top),
inference(superposition,[status(thm)],[c_3858,c_9784]) ).
tcf(c_22781,plain,
! [X0: $i] : join(one,converse(converse(join(complement(converse(one)),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_3858,c_1155]) ).
tcf(c_22795,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(complement(converse(X0)),X1)) = top,
inference(light_normalisation,[status(thm)],[c_22744,c_2759]) ).
tcf(c_22800,plain,
! [X0: $i] : join(iPr_def_11,converse(join(complement(converse(iPr_def_12)),X0))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_22761,c_64,c_63]) ).
tcf(c_22801,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(join(complement(X0),X1)))) = top,
inference(light_normalisation,[status(thm)],[c_22747,c_69,c_2759]) ).
tcf(c_22804,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(top),converse(join(complement(converse(X0)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22731,c_64,c_63]) ).
tcf(c_22805,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,converse(join(complement(converse(X0)),X1)))) = top,
inference(light_normalisation,[status(thm)],[c_22804,c_121]) ).
tcf(c_22806,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(join(complement(converse(sk1)),X0))),top) = top,
inference(light_normalisation,[status(thm)],[c_22764,c_9558]) ).
tcf(c_22807,plain,
! [X0: $i] : composition(join(iPr_def_11,converse(join(complement(converse(iPr_def_12)),X0))),top) = top,
inference(light_normalisation,[status(thm)],[c_22760,c_9558]) ).
tcf(c_22808,plain,
! [X0: $i,X1: $i] : join(X0,join(one,converse(join(complement(join(one,converse(X0))),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22727,c_64,c_63]) ).
tcf(c_22809,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(complement(join(one,converse(X0))),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22726,c_64,c_63]) ).
tcf(c_22813,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(join(complement(join(converse(X0),X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_22714,c_64,c_63]) ).
tcf(c_22814,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),converse(join(complement(join(X1,converse(X0))),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_22713,c_64,c_63]) ).
tcf(c_22815,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(join(complement(join(X0,converse(X1))),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_22712,c_64,c_63]) ).
tcf(c_22816,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(join(complement(join(converse(X1),X0)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_22711,c_64,c_63]) ).
tcf(c_22817,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(complement(converse(X1)),X2))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_22751,c_2778]) ).
tcf(c_22818,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),converse(join(complement(converse(converse(X1))),X2))) = join(top,converse(X0)),
inference(theory_normalisation,[status(thm)],[c_22752,c_64,c_63]) ).
tcf(c_22819,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(converse(join(complement(converse(composition(X1,converse(X0)))),X2)))) = top,
inference(light_normalisation,[status(thm)],[c_22756,c_2759]) ).
tcf(c_22820,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(converse(join(complement(converse(converse(X1))),X2))))) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_22755,c_2778]) ).
tcf(c_22821,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(converse(join(complement(X0),X1)))),converse(X2)) = converse(composition(X2,top)),
inference(light_normalisation,[status(thm)],[c_22745,c_69]) ).
tcf(c_22822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(converse(X2),converse(join(complement(join(converse(join(X0,X1)),X2)),X3))))) = top,
inference(theory_normalisation,[status(thm)],[c_22719,c_64,c_63]) ).
tcf(c_22823,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),converse(join(complement(converse(composition(converse(X1),complement(composition(X1,X0))))),X2))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_22758,c_64,c_63]) ).
tcf(c_22824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,converse(X2)),converse(join(complement(join(converse(X0),composition(X2,converse(X1)))),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_22723,c_64,c_63]) ).
tcf(c_22825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(X2,converse(join(complement(join(composition(X1,converse(X0)),converse(X2))),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_22722,c_64,c_63]) ).
tcf(c_22976,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),composition(X0,composition(X1,converse(sk1)))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_66,c_4331]) ).
tcf(c_22977,plain,
! [X0: $i] : join(converse(iPr_def_10),converse(composition(sk1,X0))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_71,c_4331]) ).
tcf(c_22978,plain,
join(converse(iPr_def_10),converse(sk1)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1118,c_4331]) ).
tcf(c_22981,plain,
join(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_10))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_4326,c_4331]) ).
tcf(c_22982,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(iPr_def_10))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_10655,c_4331]) ).
tcf(c_22983,plain,
join(converse(iPr_def_10),zero) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7654,c_4331]) ).
tcf(c_22984,plain,
join(converse(iPr_def_10),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_4331,c_3159]) ).
tcf(c_22985,plain,
! [X0: $i] : join(converse(iPr_def_10),join(composition(X0,converse(sk1)),complement(converse(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_4331,c_433]) ).
tcf(c_22986,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(composition(X0,converse(sk1)),X1)) = join(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_4331,c_64]) ).
tcf(c_22987,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(X0,composition(X1,converse(sk1)))) = join(X0,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4331,c_209]) ).
tcf(c_22989,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,converse(composition(X0,converse(sk1)))),converse(X1)) = converse(composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_4331,c_271]) ).
tcf(c_22991,plain,
! [X0: $i] : join(iPr_def_10,converse(composition(X0,converse(sk1)))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4331,c_250]) ).
tcf(c_22992,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,iPr_def_10)),composition(X1,converse(sk1))) = join(converse(X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4331,c_422]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,converse(composition(X1,converse(sk1)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4331,c_382]) ).
tcf(c_22994,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,converse(composition(X1,converse(sk1)))),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4331,c_381]) ).
tcf(c_22995,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_10,converse(composition(X1,converse(sk1))))) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_4331,c_274]) ).
tcf(c_22996,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),composition(sk1,converse(X0))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_4331,c_359]) ).
tcf(c_22997,plain,
join(zero,converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_22983,c_64,c_63]) ).
tcf(c_23000,plain,
! [X0: $i] : join(converse(iPr_def_10),join(complement(converse(iPr_def_10)),composition(X0,converse(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_22985,c_64,c_63]) ).
tcf(c_23072,plain,
converse(join(iPr_def_10,sk1)) = converse(iPr_def_10),
inference(demodulation,[status(thm)],[c_22978,c_70]) ).
tcf(c_23073,plain,
! [X0: $i] : join(join(iPr_def_10,sk1),converse(join(complement(converse(iPr_def_10)),X0))) = top,
inference(superposition,[status(thm)],[c_23072,c_3858]) ).
tcf(c_23074,plain,
! [X0: $i] : join(join(iPr_def_10,sk1),converse(join(X0,complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_23072,c_3778]) ).
tcf(c_23075,plain,
join(complement(one),composition(join(iPr_def_10,sk1),complement(converse(iPr_def_10)))) = complement(one),
inference(superposition,[status(thm)],[c_23072,c_7885]) ).
tcf(c_23076,plain,
! [X0: $i,X1: $i] : join(converse(join(join(iPr_def_10,sk1),X0)),X1) = join(converse(iPr_def_10),join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_23072,c_422]) ).
tcf(c_23077,plain,
join(iPr_def_11,composition(join(iPr_def_10,sk1),complement(composition(converse(iPr_def_10),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23072,c_7811]) ).
tcf(c_23078,plain,
join(iPr_def_10,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23072,c_3025]) ).
tcf(c_23079,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_10,sk1),converse(X0)),converse(X1)) = converse(join(composition(X0,converse(iPr_def_10)),X1)),
inference(superposition,[status(thm)],[c_23072,c_354]) ).
tcf(c_23080,plain,
join(complement(one),composition(converse(iPr_def_10),complement(join(iPr_def_10,sk1)))) = complement(one),
inference(superposition,[status(thm)],[c_23072,c_385]) ).
tcf(c_23081,plain,
join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23072,c_379]) ).
tcf(c_23082,plain,
composition(join(iPr_def_10,sk1),complement(composition(converse(iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_23072,c_7622]) ).
tcf(c_23083,plain,
composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),top))) = zero,
inference(superposition,[status(thm)],[c_23072,c_7621]) ).
tcf(c_23084,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,sk1),converse(X0)),converse(X1)) = converse(composition(X1,join(converse(iPr_def_10),X0))),
inference(superposition,[status(thm)],[c_23072,c_271]) ).
tcf(c_23085,plain,
join(join(iPr_def_10,sk1),converse(complement(converse(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_23072,c_2767]) ).
tcf(c_23087,plain,
! [X0: $i] : composition(converse(X0),join(iPr_def_10,sk1)) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_23072,c_257]) ).
tcf(c_23088,plain,
! [X0: $i] : join(join(iPr_def_10,sk1),converse(X0)) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_23072,c_250]) ).
tcf(c_23089,plain,
! [X0: $i] : converse(composition(X0,join(iPr_def_10,sk1))) = composition(converse(iPr_def_10),converse(X0)),
inference(superposition,[status(thm)],[c_23072,c_71]) ).
tcf(c_23090,plain,
! [X0: $i] : converse(join(join(iPr_def_10,sk1),X0)) = join(converse(iPr_def_10),converse(X0)),
inference(superposition,[status(thm)],[c_23072,c_70]) ).
tcf(c_23091,plain,
join(iPr_def_10,sk1) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_23072,c_69]) ).
tcf(c_23092,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),X0))),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_23072,c_425]) ).
tcf(c_23093,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,join(iPr_def_10,sk1))),X1) = join(converse(X0),join(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_23072,c_422]) ).
tcf(c_23094,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,sk1),composition(converse(X1),complement(composition(X1,composition(converse(iPr_def_10),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_15012]) ).
tcf(c_23095,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(join(iPr_def_10,sk1),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_382]) ).
tcf(c_23096,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(join(iPr_def_10,sk1),converse(X1)),complement(composition(join(converse(iPr_def_10),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_381]) ).
tcf(c_23097,plain,
! [X0: $i] : join(complement(X0),composition(join(iPr_def_10,sk1),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_380]) ).
tcf(c_23098,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(join(iPr_def_10,sk1),converse(X1))) = converse(join(X0,composition(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_23072,c_359]) ).
tcf(c_23099,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(iPr_def_10,sk1)),converse(X1)) = converse(composition(X1,join(X0,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_23072,c_321]) ).
tcf(c_23100,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(join(iPr_def_10,sk1),converse(X1))) = converse(composition(join(converse(iPr_def_10),X1),X0)),
inference(superposition,[status(thm)],[c_23072,c_274]) ).
tcf(c_23102,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_90]) ).
tcf(c_23103,plain,
! [X0: $i] : composition(join(iPr_def_10,sk1),converse(X0)) = converse(composition(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_23072,c_256]) ).
tcf(c_23104,plain,
! [X0: $i] : join(converse(X0),join(iPr_def_10,sk1)) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_23072,c_251]) ).
tcf(c_23105,plain,
! [X0: $i] : converse(composition(join(iPr_def_10,sk1),X0)) = composition(converse(X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_23072,c_71]) ).
tcf(c_23106,plain,
! [X0: $i] : converse(join(X0,join(iPr_def_10,sk1))) = join(converse(X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_23072,c_70]) ).
tcf(c_23107,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),join(iPr_def_10,sk1)) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_23072,c_434]) ).
tcf(c_23108,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,sk1),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_15012]) ).
tcf(c_23109,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(X1),join(iPr_def_10,sk1)),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_382]) ).
tcf(c_23110,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(converse(X1),join(iPr_def_10,sk1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23072,c_381]) ).
tcf(c_23111,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(converse(X1),join(iPr_def_10,sk1))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_23072,c_325]) ).
tcf(c_23112,plain,
join(iPr_def_10,join(sk1,converse(complement(converse(iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_23085,c_64,c_63]) ).
tcf(c_23113,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,converse(X0))) = converse(join(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_23104,c_64,c_63]) ).
tcf(c_23115,plain,
! [X0: $i] : converse(join(iPr_def_10,join(sk1,X0))) = join(converse(iPr_def_10),converse(X0)),
inference(theory_normalisation,[status(thm)],[c_23090,c_64,c_63]) ).
tcf(c_23116,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,converse(X0))) = converse(join(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_23088,c_64,c_63]) ).
tcf(c_23118,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,converse(join(X0,complement(converse(iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23074,c_64,c_63]) ).
tcf(c_23119,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,converse(join(complement(converse(iPr_def_10)),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_23073,c_64,c_63]) ).
tcf(c_23120,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(sk1,converse(join(X0,X1)))) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_23107,c_64,c_63]) ).
tcf(c_23121,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_10,join(sk1,X0))),X1) = join(converse(iPr_def_10),join(converse(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_23076,c_64,c_63]) ).
tcf(c_23122,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_10,join(sk1,converse(X1)))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(theory_normalisation,[status(thm)],[c_23111,c_64,c_63]) ).
tcf(c_23123,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_10,join(sk1,converse(X1)))) = converse(composition(join(converse(iPr_def_10),X1),X0)),
inference(theory_normalisation,[status(thm)],[c_23100,c_64,c_63]) ).
tcf(c_23124,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(sk1,converse(X0))),converse(X1)) = converse(composition(X1,join(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_23099,c_64,c_63]) ).
tcf(c_23125,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(sk1,converse(X0))),converse(X1)) = converse(composition(X1,join(converse(iPr_def_10),X0))),
inference(theory_normalisation,[status(thm)],[c_23084,c_64,c_63]) ).
tcf(c_23126,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(iPr_def_10,join(sk1,converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_23110,c_64,c_63]) ).
tcf(c_23127,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,join(sk1,converse(X1))),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_23109,c_64,c_63]) ).
tcf(c_23128,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,join(sk1,converse(X1))),complement(composition(join(converse(iPr_def_10),X1),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_23096,c_64,c_63]) ).
tcf(c_23129,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(iPr_def_10,join(sk1,converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_23095,c_64,c_63]) ).
tcf(c_23225,plain,
join(iPr_def_10,sk1) = iPr_def_10,
inference(demodulation,[status(thm)],[c_23091,c_69]) ).
tcf(c_23228,plain,
join(iPr_def_10,join(sk1,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_23225,c_433]) ).
tcf(c_23229,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_23225,c_64]) ).
tcf(c_23230,plain,
! [X0: $i] : join(iPr_def_10,join(X0,sk1)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_23225,c_209]) ).
tcf(c_23233,plain,
composition(join(iPr_def_10,iPr_def_10),top) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_23225,c_9786]) ).
tcf(c_23234,plain,
join(iPr_def_10,join(sk1,iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_23228,c_3111]) ).
tcf(c_23255,plain,
! [X0: $i] : join(iPr_def_10,join(X0,sk1)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_63,c_23229]) ).
tcf(c_23258,plain,
join(iPr_def_10,complement(sk1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_73,c_23229]) ).
tcf(c_23259,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(sk1,X1))) = join(iPr_def_10,join(X0,X1)),
inference(superposition,[status(thm)],[c_209,c_23229]) ).
tcf(c_23260,plain,
join(iPr_def_10,converse(complement(converse(sk1)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2767,c_23229]) ).
tcf(c_23261,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(join(sk1,X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_433,c_23229]) ).
tcf(c_23262,plain,
! [X0: $i] : join(iPr_def_10,join(complement(sk1),X0)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2645,c_23229]) ).
tcf(c_23263,plain,
join(iPr_def_10,sk1) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_3047,c_23229]) ).
tcf(c_23264,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(sk1))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2636,c_23229]) ).
tcf(c_23265,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),sk1)) = join(iPr_def_10,composition(X0,sk1)),
inference(superposition,[status(thm)],[c_1201,c_23229]) ).
tcf(c_23266,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),sk1)) = join(iPr_def_10,composition(X0,sk1)),
inference(superposition,[status(thm)],[c_1194,c_23229]) ).
tcf(c_23267,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(sk1),X1))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3811,c_23229]) ).
tcf(c_23268,plain,
! [X0: $i] : join(iPr_def_10,converse(join(complement(converse(sk1)),X0))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3858,c_23229]) ).
tcf(c_23269,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(sk1)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3731,c_23229]) ).
tcf(c_23270,plain,
! [X0: $i] : join(iPr_def_10,converse(join(X0,complement(converse(sk1))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3778,c_23229]) ).
tcf(c_23271,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(sk1),X0))) = join(iPr_def_10,sk1),
inference(superposition,[status(thm)],[c_4192,c_23229]) ).
tcf(c_23272,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,complement(sk1)))) = join(iPr_def_10,sk1),
inference(superposition,[status(thm)],[c_4555,c_23229]) ).
tcf(c_23273,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(X1,complement(sk1))))) = join(iPr_def_10,sk1),
inference(superposition,[status(thm)],[c_6002,c_23229]) ).
tcf(c_23275,plain,
! [X0: $i] : join(iPr_def_10,join(join(sk1,X0),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_23229,c_433]) ).
tcf(c_23277,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(sk1,X1))) = join(X0,join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_23229,c_209]) ).
tcf(c_23279,plain,
! [X0: $i] : join(converse(join(iPr_def_10,sk1)),X0) = converse(join(iPr_def_10,converse(X0))),
inference(superposition,[status(thm)],[c_23229,c_434]) ).
tcf(c_23280,plain,
join(iPr_def_10,complement(join(iPr_def_10,sk1))) = top,
inference(superposition,[status(thm)],[c_23229,c_433]) ).
tcf(c_23293,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),X0)) = top,
inference(superposition,[status(thm)],[c_23229,c_3811]) ).
tcf(c_23294,plain,
! [X0: $i] : join(X0,complement(join(iPr_def_10,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_23229,c_6002]) ).
tcf(c_23297,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_23229,c_3307]) ).
tcf(c_23298,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_23229,c_3307]) ).
tcf(c_23300,plain,
join(one,join(iPr_def_10,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_23229,c_4866]) ).
tcf(c_23301,plain,
join(one,converse(join(iPr_def_10,complement(one)))) = top,
inference(superposition,[status(thm)],[c_23229,c_4932]) ).
tcf(c_23303,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23229,c_16471]) ).
tcf(c_23304,plain,
join(iPr_def_10,sk1) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_23229,c_6072]) ).
tcf(c_23305,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_23229,c_11490]) ).
tcf(c_23306,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_23229,c_11490]) ).
tcf(c_23308,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(iPr_def_10,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23229,c_12257]) ).
tcf(c_23309,plain,
! [X0: $i] : composition(top,join(X0,join(iPr_def_10,one))) = top,
inference(superposition,[status(thm)],[c_23229,c_12194]) ).
tcf(c_23310,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,one)),top) = top,
inference(superposition,[status(thm)],[c_23229,c_10944]) ).
tcf(c_23311,plain,
! [X0: $i] : composition(iPr_def_10,join(iPr_def_10,join(X0,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23229,c_12257]) ).
tcf(c_23312,plain,
! [X0: $i] : composition(top,join(iPr_def_10,join(X0,one))) = top,
inference(superposition,[status(thm)],[c_23229,c_12194]) ).
tcf(c_23319,plain,
join(iPr_def_10,join(iPr_def_10,complement(sk1))) = top,
inference(superposition,[status(thm)],[c_23229,c_13712]) ).
tcf(c_23331,plain,
join(iPr_def_10,join(one,converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_23300,c_64,c_63]) ).
tcf(c_23337,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,complement(sk1)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_23272,c_23225]) ).
tcf(c_23338,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(sk1),X0))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_23271,c_23225]) ).
tcf(c_23339,plain,
! [X0: $i] : converse(join(iPr_def_10,converse(X0))) = join(converse(iPr_def_10),X0),
inference(light_normalisation,[status(thm)],[c_23279,c_23225]) ).
tcf(c_23340,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,join(X0,complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_23275,c_64,c_63]) ).
tcf(c_23344,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(X1,complement(sk1))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_23273,c_23225]) ).
tcf(c_23390,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,X0)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_63,c_23230]) ).
tcf(c_23396,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_10)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_23230,c_3159]) ).
tcf(c_23397,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,sk1),complement(join(X0,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_23230,c_433]) ).
tcf(c_23401,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,sk1))) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_23230,c_209]) ).
tcf(c_23402,plain,
! [X0: $i] : join(X0,join(iPr_def_10,sk1)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_23230,c_209]) ).
tcf(c_23443,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(sk1,complement(join(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_23397,c_64,c_63]) ).
tcf(c_23451,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(X0,converse(X1))),X2) = composition(X1,composition(converse(X0),X2)),
inference(superposition,[status(thm)],[c_69,c_469]) ).
tcf(c_23452,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,top)),X1) = composition(top,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_2759,c_469]) ).
tcf(c_23453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,join(converse(X1),X2))),X3) = composition(join(converse(X2),X1),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_312,c_469]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,join(converse(X1),X2))),X3) = composition(join(X1,converse(X2)),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_250,c_469]) ).
tcf(c_23455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,join(X1,converse(X2)))),X3) = composition(join(X2,converse(X1)),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_264,c_469]) ).
tcf(c_23456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,join(X1,converse(X2)))),X3) = composition(join(converse(X1),X2),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_251,c_469]) ).
tcf(c_23457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,composition(X1,converse(X2)))),X3) = composition(composition(X2,converse(X1)),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_256,c_469]) ).
tcf(c_23458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,composition(converse(X1),X2))),X3) = composition(composition(converse(X2),X1),composition(converse(X0),X3)),
inference(superposition,[status(thm)],[c_257,c_469]) ).
tcf(c_23459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(composition(join(X0,converse(X1)),converse(X2)),composition(converse(X3),X4)) = composition(converse(composition(X3,composition(X2,join(converse(X0),X1)))),X4),
inference(superposition,[status(thm)],[c_271,c_469]) ).
tcf(c_23460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(composition(converse(X0),join(X1,converse(X2))),composition(converse(X3),X4)) = composition(converse(composition(X3,composition(join(converse(X1),X2),X0))),X4),
inference(superposition,[status(thm)],[c_274,c_469]) ).
tcf(c_23461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(composition(X0,join(X1,join(X2,converse(X3))))),X4) = composition(join(converse(join(X1,X2)),X3),composition(converse(X0),X4)),
inference(superposition,[status(thm)],[c_434,c_469]) ).
tcf(c_23462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(composition(join(converse(X0),X1),converse(X2)),composition(converse(X3),X4)) = composition(converse(composition(X3,composition(X2,join(X0,converse(X1))))),X4),
inference(superposition,[status(thm)],[c_321,c_469]) ).
tcf(c_23463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(composition(converse(X0),join(converse(X1),X2)),composition(converse(X3),X4)) = composition(converse(composition(X3,composition(join(X1,converse(X2)),X0))),X4),
inference(superposition,[status(thm)],[c_325,c_469]) ).
tcf(c_23464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,converse(X1)),converse(X2)),composition(converse(X3),X4)) = composition(converse(composition(X3,join(composition(X1,converse(X0)),X2))),X4),
inference(superposition,[status(thm)],[c_354,c_469]) ).
tcf(c_23465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(converse(X0),composition(X1,converse(X2))),composition(converse(X3),X4)) = composition(converse(composition(X3,join(X0,composition(X2,converse(X1))))),X4),
inference(superposition,[status(thm)],[c_359,c_469]) ).
tcf(c_23466,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,zero)),X1) = composition(zero,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_3363,c_469]) ).
tcf(c_23467,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,one)),X1) = composition(one,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1109,c_469]) ).
tcf(c_23468,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,converse(X0)),composition(converse(X1),X2)) = composition(converse(composition(X1,join(one,X0))),X2),
inference(superposition,[status(thm)],[c_1155,c_469]) ).
tcf(c_23469,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,converse(X0)),composition(converse(X1),X2)) = composition(converse(composition(X1,join(X0,one))),X2),
inference(superposition,[status(thm)],[c_1161,c_469]) ).
tcf(c_23470,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(converse(X0),top),composition(converse(X1),X2)) = composition(converse(composition(X1,composition(top,X0))),X2),
inference(superposition,[status(thm)],[c_2778,c_469]) ).
tcf(c_23471,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(top,converse(X0)),composition(converse(X1),X2)) = composition(converse(composition(X1,composition(X0,top))),X2),
inference(superposition,[status(thm)],[c_2776,c_469]) ).
tcf(c_23472,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),one) = composition(converse(X1),converse(X0)),
inference(superposition,[status(thm)],[c_67,c_469]) ).
tcf(c_23473,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(X0,X1)),converse(X2)) = composition(converse(X1),converse(composition(X2,X0))),
inference(superposition,[status(thm)],[c_71,c_469]) ).
tcf(c_23474,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),complement(composition(X0,top))) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_7621,c_469]) ).
tcf(c_23475,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_2963,c_469]) ).
tcf(c_23478,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),zero) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_10786,c_469]) ).
tcf(c_23479,plain,
! [X0: $i,X1: $i] : composition(converse(composition(sk1,X0)),composition(iPr_def_11,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_10832,c_469]) ).
tcf(c_23481,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(complement(iPr_def_12),X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_15409,c_469]) ).
tcf(c_23482,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_3657,c_469]) ).
tcf(c_23483,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(sk1,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_10831,c_469]) ).
tcf(c_23484,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(iPr_def_12),X0)),composition(iPr_def_11,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_15484,c_469]) ).
tcf(c_23485,plain,
! [X0: $i] : composition(converse(composition(sk1,X0)),iPr_def_12) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9602,c_469]) ).
tcf(c_23486,plain,
! [X0: $i,X1: $i] : composition(converse(composition(sk1,X0)),composition(iPr_def_12,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12375,c_469]) ).
tcf(c_23487,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_11,X0),X1)),sk1) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12385,c_469]) ).
tcf(c_23488,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),sk1) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9595,c_469]) ).
tcf(c_23489,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9601,c_469]) ).
tcf(c_23490,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_11,X0)),composition(iPr_def_10,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12332,c_469]) ).
tcf(c_23491,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(sk1,X0),X1)),iPr_def_11) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12343,c_469]) ).
tcf(c_23492,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9596,c_469]) ).
tcf(c_23493,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(sk1,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12573,c_469]) ).
tcf(c_23494,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_11,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12864,c_469]) ).
tcf(c_23495,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),complement(composition(converse(converse(X0)),top))) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_7622,c_469]) ).
tcf(c_23496,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(composition(X0,top)),X1)),X0) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_7654,c_469]) ).
tcf(c_23497,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),complement(iPr_def_12)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9806,c_469]) ).
tcf(c_23498,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_12) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_9805,c_469]) ).
tcf(c_23499,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(iPr_def_12),X0)),composition(iPr_def_12,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_10897,c_469]) ).
tcf(c_23500,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(complement(iPr_def_12),X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_10913,c_469]) ).
tcf(c_23501,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_10,X0),X1)),iPr_def_11) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12412,c_469]) ).
tcf(c_23502,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_12,X0),X1)),sk1) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12487,c_469]) ).
tcf(c_23503,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12574,c_469]) ).
tcf(c_23504,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12576,c_469]) ).
tcf(c_23505,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(sk1,X0),X1)),iPr_def_12) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12587,c_469]) ).
tcf(c_23506,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12608,c_469]) ).
tcf(c_23507,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,X1)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12641,c_469]) ).
tcf(c_23508,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_10,X0),X1)),iPr_def_12) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12794,c_469]) ).
tcf(c_23509,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_12,X0),X1)),iPr_def_10) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12852,c_469]) ).
tcf(c_23510,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_11,X0),X1)),iPr_def_10) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_12878,c_469]) ).
tcf(c_23511,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(complement(iPr_def_12),X0),X1)),iPr_def_11) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_15424,c_469]) ).
tcf(c_23512,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_11,X0),X1)),complement(iPr_def_12)) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_15500,c_469]) ).
tcf(c_23513,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(iPr_def_12,X0),X1)),complement(iPr_def_12)) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_16122,c_469]) ).
tcf(c_23514,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(complement(iPr_def_12),X0),X1)),iPr_def_12) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_16160,c_469]) ).
tcf(c_23515,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(converse(X0),X1)),X2) = composition(converse(X1),composition(X0,X2)),
inference(superposition,[status(thm)],[c_69,c_469]) ).
tcf(c_23516,plain,
! [X0: $i,X1: $i] : composition(converse(composition(top,X0)),X1) = composition(converse(X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_2759,c_469]) ).
tcf(c_23517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(join(converse(X0),X1),X2)),X3) = composition(converse(X2),composition(join(converse(X1),X0),X3)),
inference(superposition,[status(thm)],[c_312,c_469]) ).
tcf(c_23518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(join(converse(X0),X1),X2)),X3) = composition(converse(X2),composition(join(X0,converse(X1)),X3)),
inference(superposition,[status(thm)],[c_250,c_469]) ).
tcf(c_23519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(join(X0,converse(X1)),X2)),X3) = composition(converse(X2),composition(join(X1,converse(X0)),X3)),
inference(superposition,[status(thm)],[c_264,c_469]) ).
tcf(c_23520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(join(X0,converse(X1)),X2)),X3) = composition(converse(X2),composition(join(converse(X0),X1),X3)),
inference(superposition,[status(thm)],[c_251,c_469]) ).
tcf(c_23521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(composition(X0,converse(X1)),X2)),X3) = composition(converse(X2),composition(composition(X1,converse(X0)),X3)),
inference(superposition,[status(thm)],[c_256,c_469]) ).
tcf(c_23522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(composition(converse(X0),X1),X2)),X3) = composition(converse(X2),composition(composition(converse(X1),X0),X3)),
inference(superposition,[status(thm)],[c_257,c_469]) ).
tcf(c_23523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(composition(join(X1,converse(X2)),converse(X3)),X4)) = composition(converse(composition(composition(X3,join(converse(X1),X2)),X0)),X4),
inference(superposition,[status(thm)],[c_271,c_469]) ).
tcf(c_23524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(composition(converse(X1),join(X2,converse(X3))),X4)) = composition(converse(composition(composition(join(converse(X2),X3),X1),X0)),X4),
inference(superposition,[status(thm)],[c_274,c_469]) ).
tcf(c_23525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(composition(join(X0,join(X1,converse(X2))),X3)),X4) = composition(converse(X3),composition(join(converse(join(X0,X1)),X2),X4)),
inference(superposition,[status(thm)],[c_434,c_469]) ).
tcf(c_23526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(composition(join(converse(X1),X2),converse(X3)),X4)) = composition(converse(composition(composition(X3,join(X1,converse(X2))),X0)),X4),
inference(superposition,[status(thm)],[c_321,c_469]) ).
tcf(c_23527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(composition(converse(X1),join(converse(X2),X3)),X4)) = composition(converse(composition(composition(join(X2,converse(X3)),X1),X0)),X4),
inference(superposition,[status(thm)],[c_325,c_469]) ).
tcf(c_23528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(join(composition(X1,converse(X2)),converse(X3)),X4)) = composition(converse(composition(join(composition(X2,converse(X1)),X3),X0)),X4),
inference(superposition,[status(thm)],[c_354,c_469]) ).
tcf(c_23529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(converse(X0),composition(join(converse(X1),composition(X2,converse(X3))),X4)) = composition(converse(composition(join(X1,composition(X3,converse(X2))),X0)),X4),
inference(superposition,[status(thm)],[c_359,c_469]) ).
tcf(c_23530,plain,
! [X0: $i,X1: $i] : composition(converse(composition(zero,X0)),X1) = composition(converse(X0),composition(zero,X1)),
inference(superposition,[status(thm)],[c_3363,c_469]) ).
tcf(c_23531,plain,
! [X0: $i,X1: $i] : composition(converse(composition(one,X0)),X1) = composition(converse(X0),composition(one,X1)),
inference(superposition,[status(thm)],[c_1109,c_469]) ).
tcf(c_23532,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(join(one,converse(X1)),X2)) = composition(converse(composition(join(one,X1),X0)),X2),
inference(superposition,[status(thm)],[c_1155,c_469]) ).
tcf(c_23533,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(join(one,converse(X1)),X2)) = composition(converse(composition(join(X1,one),X0)),X2),
inference(superposition,[status(thm)],[c_1161,c_469]) ).
tcf(c_23534,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(composition(converse(X1),top),X2)) = composition(converse(composition(composition(top,X1),X0)),X2),
inference(superposition,[status(thm)],[c_2778,c_469]) ).
tcf(c_23535,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(composition(top,converse(X1)),X2)) = composition(converse(composition(composition(X1,top),X0)),X2),
inference(superposition,[status(thm)],[c_2776,c_469]) ).
tcf(c_23536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(composition(X0,X1)),X2),composition(X3,composition(converse(X0),X2))) = composition(join(converse(X1),X3),composition(converse(X0),X2)),
inference(superposition,[status(thm)],[c_469,c_68]) ).
tcf(c_23537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(composition(converse(X1),X2),X3)) = composition(composition(converse(composition(X1,X0)),X2),X3),
inference(superposition,[status(thm)],[c_469,c_66]) ).
tcf(c_23538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(converse(X1),X2)),composition(converse(composition(X1,X3)),X2)) = composition(join(X0,converse(X3)),composition(converse(X1),X2)),
inference(superposition,[status(thm)],[c_469,c_68]) ).
tcf(c_23539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(composition(converse(X0),X1)),join(composition(converse(converse(X2)),complement(composition(converse(composition(X0,X2)),X1))),X3)) = join(complement(composition(converse(X0),X1)),X3),
inference(superposition,[status(thm)],[c_469,c_425]) ).
tcf(c_23541,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),composition(converse(composition(X0,X2)),X1)) = composition(join(one,converse(X2)),composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_1194]) ).
tcf(c_23542,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(converse(X0),X1)),composition(converse(converse(X2)),complement(composition(converse(composition(X0,X2)),X1)))) = complement(composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_90]) ).
tcf(c_23543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(composition(converse(X0),X1)),composition(X2,composition(converse(X3),complement(composition(X3,composition(converse(composition(X0,X2)),X1)))))) = complement(composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_15012]) ).
tcf(c_23544,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(converse(X0),X1)),composition(X2,complement(composition(converse(composition(X0,X2)),X1)))) = complement(composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_380]) ).
tcf(c_23545,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(converse(X0),X1)),X2) = converse(composition(converse(composition(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_469,c_257]) ).
tcf(c_23546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(composition(X0,X1)),composition(converse(X2),X3)) = composition(converse(X1),composition(converse(composition(X2,X0)),X3)),
inference(superposition,[status(thm)],[c_469,c_469]) ).
tcf(c_23547,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(converse(converse(X2)),complement(composition(converse(composition(X1,X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_469,c_15012]) ).
tcf(c_23548,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(composition(X0,iPr_def_10)),X1)) = composition(converse(composition(X0,iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_469,c_10871]) ).
tcf(c_23549,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(composition(X0,sk1)),X1)) = composition(converse(iPr_def_10),composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_4321]) ).
tcf(c_23550,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(composition(X0,iPr_def_12)),X1)) = composition(converse(composition(X0,iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_469,c_11007]) ).
tcf(c_23551,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(composition(X0,iPr_def_11)),X1)) = composition(converse(iPr_def_12),composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_4342]) ).
tcf(c_23552,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,complement(composition(composition(converse(X0),X1),top)))),X1) = zero,
inference(superposition,[status(thm)],[c_469,c_7654]) ).
tcf(c_23553,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(X1,X2)),complement(composition(X1,composition(converse(converse(X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_469,c_15012]) ).
tcf(c_23554,plain,
! [X0: $i] : composition(converse(X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_23506,c_12794]) ).
tcf(c_23564,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(one,X1)) = converse(composition(converse(X1),X0)),
inference(light_normalisation,[status(thm)],[c_23531,c_1057]) ).
tcf(c_23565,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(zero,X1)) = composition(zero,X1),
inference(light_normalisation,[status(thm)],[c_23530,c_3363,c_10822]) ).
tcf(c_23566,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),X1) = composition(converse(X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_23516,c_2778]) ).
tcf(c_23567,plain,
! [X0: $i,X1: $i] : composition(one,composition(converse(X0),X1)) = composition(converse(X0),X1),
inference(light_normalisation,[status(thm)],[c_23467,c_67]) ).
tcf(c_23568,plain,
! [X0: $i,X1: $i] : composition(zero,composition(converse(X0),X1)) = composition(zero,X1),
inference(light_normalisation,[status(thm)],[c_23466,c_3363,c_10786]) ).
tcf(c_23569,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(X0)),X1) = composition(top,composition(converse(X0),X1)),
inference(light_normalisation,[status(thm)],[c_23452,c_2776]) ).
tcf(c_23570,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(converse(X0),X1),X2) = composition(converse(X0),composition(X1,X2)),
inference(light_normalisation,[status(thm)],[c_23515,c_257]) ).
tcf(c_23571,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,converse(X1)),X2) = composition(X0,composition(converse(X1),X2)),
inference(light_normalisation,[status(thm)],[c_23451,c_256]) ).
tcf(c_23572,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(converse(composition(X0,X1)),X2)) = composition(composition(converse(X2),X0),X1),
inference(light_normalisation,[status(thm)],[c_23545,c_257]) ).
tcf(c_23575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(X0,converse(X1)),composition(converse(X2),X3)) = composition(composition(X0,converse(composition(X2,X1))),X3),
inference(light_normalisation,[status(thm)],[c_23457,c_473]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,sk1))) = join(iPr_def_10,join(X0,X1)),
inference(superposition,[status(thm)],[c_64,c_23255]) ).
tcf(c_23898,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,sk1),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_23255,c_433]) ).
tcf(c_23902,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,sk1))) = join(X0,join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_23255,c_209]) ).
tcf(c_23903,plain,
! [X0: $i] : join(X0,join(iPr_def_10,sk1)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_23255,c_209]) ).
tcf(c_23921,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(sk1,complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_23898,c_64,c_63]) ).
tcf(c_23958,plain,
! [X0: $i] : join(join(X0,complement(join(sk1,X0))),iPr_def_10) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_433,c_23390]) ).
tcf(c_23962,plain,
! [X0: $i] : join(join(X0,complement(sk1)),iPr_def_10) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2636,c_23390]) ).
tcf(c_23965,plain,
! [X0: $i,X1: $i] : join(join(X0,join(complement(sk1),X1)),iPr_def_10) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3811,c_23390]) ).
tcf(c_23967,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(sk1))),iPr_def_10) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3731,c_23390]) ).
tcf(c_23974,plain,
! [X0: $i] : join(iPr_def_10,join(join(sk1,X0),complement(join(X0,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_23390,c_433]) ).
tcf(c_23975,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(sk1,X0),X1)) = join(join(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_23390,c_64]) ).
tcf(c_23976,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(sk1,X1))) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_23390,c_209]) ).
tcf(c_23995,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_10)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_23390,c_3731]) ).
tcf(c_24015,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_12)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_23390,c_11490]) ).
tcf(c_24061,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_23995,c_64,c_63]) ).
tcf(c_24078,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_24015,c_64,c_63]) ).
tcf(c_24106,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(sk1))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_23962,c_64,c_63]) ).
tcf(c_24117,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,join(X0,complement(join(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_23974,c_64,c_63]) ).
tcf(c_24119,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,complement(sk1)))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_23967,c_64,c_63]) ).
tcf(c_24120,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_24119,c_13641]) ).
tcf(c_24122,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,complement(sk1)))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_23965,c_64,c_63]) ).
tcf(c_24124,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(join(sk1,X0)))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_23958,c_64,c_63]) ).
tcf(c_24125,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(sk1,join(X0,X1))) = join(X0,join(iPr_def_10,X1)),
inference(theory_normalisation,[status(thm)],[c_23975,c_64,c_63]) ).
tcf(c_24146,plain,
! [X0: $i] : converse(join(iPr_def_10,composition(sk1,X0))) = converse(iPr_def_10),
inference(demodulation,[status(thm)],[c_22977,c_70]) ).
tcf(c_24149,plain,
converse(composition(join(iPr_def_10,sk1),top)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9760,c_24146]) ).
tcf(c_24151,plain,
converse(composition(join(one,sk1),iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1194,c_24146]) ).
tcf(c_24152,plain,
converse(join(iPr_def_10,iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_130,c_24146]) ).
tcf(c_24154,plain,
! [X0: $i] : converse(join(iPr_def_10,composition(iPr_def_10,X0))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_467,c_24146]) ).
tcf(c_24158,plain,
converse(join(iPr_def_10,zero)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7622,c_24146]) ).
tcf(c_24159,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(X0,join(iPr_def_10,composition(sk1,X1)))),X2) = composition(converse(iPr_def_10),composition(converse(X0),X2)),
inference(superposition,[status(thm)],[c_24146,c_469]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(sk1,X0)),converse(join(complement(converse(iPr_def_10)),X1))) = top,
inference(superposition,[status(thm)],[c_24146,c_3858]) ).
tcf(c_24161,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(sk1,X0)),converse(join(X1,complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_24146,c_3778]) ).
tcf(c_24162,plain,
! [X0: $i] : join(complement(one),composition(join(iPr_def_10,composition(sk1,X0)),complement(converse(iPr_def_10)))) = complement(one),
inference(superposition,[status(thm)],[c_24146,c_7885]) ).
tcf(c_24163,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(join(iPr_def_10,composition(sk1,X0)),X1)),X2) = join(converse(iPr_def_10),join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_24146,c_422]) ).
tcf(c_24164,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_10,composition(sk1,X0)),complement(composition(converse(iPr_def_10),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_24146,c_7811]) ).
tcf(c_24165,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_24146,c_3025]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,composition(sk1,X0)),converse(X1)),converse(X2)) = converse(join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_24146,c_354]) ).
tcf(c_24167,plain,
! [X0: $i] : join(complement(one),composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(sk1,X0))))) = complement(one),
inference(superposition,[status(thm)],[c_24146,c_385]) ).
tcf(c_24168,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_24146,c_379]) ).
tcf(c_24169,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(sk1,X0)),complement(composition(converse(iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_24146,c_7622]) ).
tcf(c_24170,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_24146,c_7621]) ).
tcf(c_24171,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(iPr_def_10,composition(sk1,X0)),converse(X1)),converse(X2)) = converse(composition(X2,join(converse(iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_24146,c_271]) ).
tcf(c_24172,plain,
! [X0: $i] : join(join(iPr_def_10,composition(sk1,X0)),converse(complement(converse(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_24146,c_2767]) ).
tcf(c_24173,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(iPr_def_10,composition(sk1,X1))) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_24146,c_312]) ).
tcf(c_24174,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_10,composition(sk1,X1))) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_24146,c_257]) ).
tcf(c_24175,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(sk1,X0)),converse(X1)) = converse(join(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_24146,c_250]) ).
tcf(c_24176,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(iPr_def_10,composition(sk1,X1)))) = composition(converse(iPr_def_10),converse(X0)),
inference(superposition,[status(thm)],[c_24146,c_71]) ).
tcf(c_24177,plain,
! [X0: $i,X1: $i] : converse(join(join(iPr_def_10,composition(sk1,X0)),X1)) = join(converse(iPr_def_10),converse(X1)),
inference(superposition,[status(thm)],[c_24146,c_70]) ).
tcf(c_24178,plain,
! [X0: $i] : join(iPr_def_10,composition(sk1,X0)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24146,c_69]) ).
tcf(c_24179,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(join(iPr_def_10,composition(sk1,X0)),X1)),X2) = composition(converse(X1),composition(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_24146,c_469]) ).
tcf(c_24180,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X1)),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_24146,c_425]) ).
tcf(c_24181,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,join(iPr_def_10,composition(sk1,X1)))),X2) = join(converse(X0),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_24146,c_422]) ).
tcf(c_24182,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,composition(sk1,X1)),composition(converse(X2),complement(composition(X2,composition(converse(iPr_def_10),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_15012]) ).
tcf(c_24183,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(join(iPr_def_10,composition(sk1,X2)),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_382]) ).
tcf(c_24184,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(iPr_def_10,composition(sk1,X1)),converse(X2)),complement(composition(join(converse(iPr_def_10),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_381]) ).
tcf(c_24185,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,composition(sk1,X1)),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_380]) ).
tcf(c_24186,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(join(iPr_def_10,composition(sk1,X1)),converse(X2))) = converse(join(X0,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24146,c_359]) ).
tcf(c_24187,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(iPr_def_10,composition(sk1,X1))),converse(X2)) = converse(composition(X2,join(X0,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24146,c_321]) ).
tcf(c_24188,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(join(iPr_def_10,composition(sk1,X1)),converse(X2))) = converse(composition(join(converse(iPr_def_10),X2),X0)),
inference(superposition,[status(thm)],[c_24146,c_274]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(sk1,X0)),converse(X1)) = converse(join(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24146,c_264]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_90]) ).
tcf(c_24191,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(sk1,X0)),converse(X1)) = converse(composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24146,c_256]) ).
tcf(c_24192,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(iPr_def_10,composition(sk1,X1))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24146,c_251]) ).
tcf(c_24193,plain,
! [X0: $i,X1: $i] : converse(composition(join(iPr_def_10,composition(sk1,X0)),X1)) = composition(converse(X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24146,c_71]) ).
tcf(c_24194,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(iPr_def_10,composition(sk1,X1)))) = join(converse(X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24146,c_70]) ).
tcf(c_24195,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(iPr_def_10,composition(sk1,X2))) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24146,c_434]) ).
tcf(c_24196,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(sk1,X2)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_15012]) ).
tcf(c_24197,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),join(iPr_def_10,composition(sk1,X2))),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_382]) ).
tcf(c_24198,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(converse(X1),join(iPr_def_10,composition(sk1,X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24146,c_381]) ).
tcf(c_24199,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(iPr_def_10,composition(sk1,X2)))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_24146,c_325]) ).
tcf(c_24201,plain,
converse(composition(join(sk1,one),iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_24151,c_64,c_63]) ).
tcf(c_24206,plain,
! [X0: $i] : join(iPr_def_10,join(composition(sk1,X0),converse(complement(converse(iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_24172,c_64,c_63]) ).
tcf(c_24208,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(X0),composition(sk1,X1))) = converse(join(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24192,c_64,c_63]) ).
tcf(c_24209,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(sk1,X0),converse(X1))) = converse(join(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24189,c_64,c_63]) ).
tcf(c_24210,plain,
! [X0: $i,X1: $i] : converse(join(iPr_def_10,join(composition(sk1,X0),X1))) = join(converse(iPr_def_10),converse(X1)),
inference(theory_normalisation,[status(thm)],[c_24177,c_64,c_63]) ).
tcf(c_24211,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(sk1,X0),converse(X1))) = converse(join(converse(iPr_def_10),X1)),
inference(theory_normalisation,[status(thm)],[c_24175,c_64,c_63]) ).
tcf(c_24212,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(X0),composition(sk1,X1))) = converse(join(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_24173,c_64,c_63]) ).
tcf(c_24213,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(sk1,X0),converse(join(X1,complement(converse(iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24161,c_64,c_63]) ).
tcf(c_24214,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(sk1,X0),converse(join(complement(converse(iPr_def_10)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_24160,c_64,c_63]) ).
tcf(c_24215,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(converse(join(X0,X1)),composition(sk1,X2))) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_24195,c_64,c_63]) ).
tcf(c_24216,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(iPr_def_10,join(composition(sk1,X0),X1))),X2) = join(converse(iPr_def_10),join(converse(X1),X2)),
inference(theory_normalisation,[status(thm)],[c_24163,c_64,c_63]) ).
tcf(c_24217,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(iPr_def_10,join(converse(X1),composition(sk1,X2)))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(theory_normalisation,[status(thm)],[c_24199,c_64,c_63]) ).
tcf(c_24218,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(iPr_def_10,join(composition(sk1,X1),converse(X2)))) = converse(composition(join(converse(iPr_def_10),X2),X0)),
inference(theory_normalisation,[status(thm)],[c_24188,c_64,c_63]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(converse(X0),composition(sk1,X1))),converse(X2)) = converse(composition(X2,join(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_24187,c_64,c_63]) ).
tcf(c_24220,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(sk1,X0),converse(X1))),converse(X2)) = converse(composition(X2,join(converse(iPr_def_10),X1))),
inference(theory_normalisation,[status(thm)],[c_24171,c_64,c_63]) ).
tcf(c_24221,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(iPr_def_10,join(converse(X1),composition(sk1,X2))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24198,c_64,c_63]) ).
tcf(c_24222,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,join(converse(X1),composition(sk1,X2))),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24197,c_64,c_63]) ).
tcf(c_24223,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,join(composition(sk1,X1),converse(X2))),complement(composition(join(converse(iPr_def_10),X2),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24184,c_64,c_63]) ).
tcf(c_24224,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(iPr_def_10,join(composition(sk1,X2),converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24183,c_64,c_63]) ).
tcf(c_24225,plain,
converse(converse(converse(iPr_def_10))) = converse(iPr_def_10),
inference(demodulation,[status(thm)],[c_24146,c_24178]) ).
tcf(c_24226,plain,
composition(converse(converse(iPr_def_10)),top) = iPr_def_10,
inference(demodulation,[status(thm)],[c_20622,c_24178]) ).
tcf(c_24487,plain,
join(iPr_def_10,complement(complement(sk1))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13445,c_23337]) ).
tcf(c_24490,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(X0,complement(sk1))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_23337,c_433]) ).
tcf(c_24491,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,complement(sk1))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_23337,c_64]) ).
tcf(c_24492,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(X1,complement(sk1))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_23337,c_209]) ).
tcf(c_24494,plain,
! [X0: $i] : join(join(X0,complement(sk1)),complement(iPr_def_10)) = join(X0,complement(sk1)),
inference(superposition,[status(thm)],[c_23337,c_4555]) ).
tcf(c_24497,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(sk1)),complement(join(X1,iPr_def_10))) = join(X0,complement(sk1)),
inference(superposition,[status(thm)],[c_23337,c_6002]) ).
tcf(c_24502,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_10),complement(sk1))) = join(X0,complement(sk1)),
inference(theory_normalisation,[status(thm)],[c_24494,c_64,c_63]) ).
tcf(c_24503,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(sk1))) = join(X0,complement(sk1)),
inference(light_normalisation,[status(thm)],[c_24502,c_3111]) ).
tcf(c_24504,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,complement(sk1))))) = top,
inference(theory_normalisation,[status(thm)],[c_24490,c_64,c_63]) ).
tcf(c_24505,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,complement(sk1))))) = top,
inference(light_normalisation,[status(thm)],[c_24504,c_3111]) ).
tcf(c_24506,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(sk1),complement(join(X1,iPr_def_10)))) = join(X0,complement(sk1)),
inference(theory_normalisation,[status(thm)],[c_24497,c_64,c_63]) ).
tcf(c_24516,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(complement(sk1),X1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_23338]) ).
tcf(c_24528,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(X0,one),complement(sk1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1201,c_23338]) ).
tcf(c_24529,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(join(one,X0),complement(sk1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1194,c_23338]) ).
tcf(c_24540,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(complement(sk1),X0)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_23338,c_433]) ).
tcf(c_24541,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(complement(sk1),X0)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_23338,c_64]) ).
tcf(c_24542,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(sk1),X1)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_23338,c_209]) ).
tcf(c_24544,plain,
! [X0: $i] : join(join(complement(sk1),X0),complement(iPr_def_10)) = join(complement(sk1),X0),
inference(superposition,[status(thm)],[c_23338,c_4555]) ).
tcf(c_24548,plain,
! [X0: $i,X1: $i] : join(join(complement(sk1),X0),complement(join(X1,iPr_def_10))) = join(complement(sk1),X0),
inference(superposition,[status(thm)],[c_23338,c_6002]) ).
tcf(c_24553,plain,
! [X0: $i] : join(complement(iPr_def_10),join(X0,complement(sk1))) = join(complement(sk1),X0),
inference(theory_normalisation,[status(thm)],[c_24544,c_64,c_63]) ).
tcf(c_24554,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(sk1))) = join(complement(sk1),X0),
inference(light_normalisation,[status(thm)],[c_24553,c_3111]) ).
tcf(c_24555,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),complement(join(complement(sk1),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_24540,c_64,c_63]) ).
tcf(c_24556,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(complement(sk1),X0)))) = top,
inference(light_normalisation,[status(thm)],[c_24555,c_3111]) ).
tcf(c_24557,plain,
! [X0: $i,X1: $i] : join(complement(sk1),join(X0,complement(join(X1,iPr_def_10)))) = join(complement(sk1),X0),
inference(theory_normalisation,[status(thm)],[c_24548,c_64,c_63]) ).
tcf(c_24616,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_10),complement(join(X0,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_23396,c_433]) ).
tcf(c_24617,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_10),X1)) = join(join(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_23396,c_64]) ).
tcf(c_24620,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_10))) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_23396,c_209]) ).
tcf(c_24662,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,complement(join(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_24616,c_64,c_63]) ).
tcf(c_24663,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,X1))) = join(X0,join(iPr_def_10,X1)),
inference(theory_normalisation,[status(thm)],[c_24617,c_64,c_63]) ).
tcf(c_24668,plain,
converse(composition(join(iPr_def_10,iPr_def_10),top)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9783,c_24154]) ).
tcf(c_24671,plain,
converse(composition(join(one,iPr_def_10),iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1194,c_24154]) ).
tcf(c_24686,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(X0,join(iPr_def_10,composition(iPr_def_10,X1)))),X2) = composition(converse(iPr_def_10),composition(converse(X0),X2)),
inference(superposition,[status(thm)],[c_24154,c_469]) ).
tcf(c_24687,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(join(complement(converse(iPr_def_10)),X1))) = top,
inference(superposition,[status(thm)],[c_24154,c_3858]) ).
tcf(c_24688,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(join(X1,complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_24154,c_3778]) ).
tcf(c_24689,plain,
! [X0: $i] : join(complement(one),composition(join(iPr_def_10,composition(iPr_def_10,X0)),complement(converse(iPr_def_10)))) = complement(one),
inference(superposition,[status(thm)],[c_24154,c_7885]) ).
tcf(c_24690,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(join(iPr_def_10,composition(iPr_def_10,X0)),X1)),X2) = join(converse(iPr_def_10),join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_24154,c_422]) ).
tcf(c_24691,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_10,composition(iPr_def_10,X0)),complement(composition(converse(iPr_def_10),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_24154,c_7811]) ).
tcf(c_24692,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_24154,c_3025]) ).
tcf(c_24693,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,composition(iPr_def_10,X0)),converse(X1)),converse(X2)) = converse(join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_24154,c_354]) ).
tcf(c_24694,plain,
! [X0: $i] : join(complement(one),composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(iPr_def_10,X0))))) = complement(one),
inference(superposition,[status(thm)],[c_24154,c_385]) ).
tcf(c_24695,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_24154,c_379]) ).
tcf(c_24696,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(iPr_def_10,X0)),complement(composition(converse(iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_24154,c_7622]) ).
tcf(c_24697,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_24154,c_7621]) ).
tcf(c_24698,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(X1)),converse(X2)) = converse(composition(X2,join(converse(iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_24154,c_271]) ).
tcf(c_24699,plain,
! [X0: $i] : join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(complement(converse(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_24154,c_2767]) ).
tcf(c_24700,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(iPr_def_10,composition(iPr_def_10,X1))) = converse(join(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_24154,c_312]) ).
tcf(c_24701,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_10,composition(iPr_def_10,X1))) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_24154,c_257]) ).
tcf(c_24702,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(X1)) = converse(join(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_24154,c_250]) ).
tcf(c_24703,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(iPr_def_10,composition(iPr_def_10,X1)))) = composition(converse(iPr_def_10),converse(X0)),
inference(superposition,[status(thm)],[c_24154,c_71]) ).
tcf(c_24704,plain,
! [X0: $i,X1: $i] : converse(join(join(iPr_def_10,composition(iPr_def_10,X0)),X1)) = join(converse(iPr_def_10),converse(X1)),
inference(superposition,[status(thm)],[c_24154,c_70]) ).
tcf(c_24705,plain,
! [X0: $i] : join(iPr_def_10,composition(iPr_def_10,X0)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24154,c_69]) ).
tcf(c_24706,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(join(iPr_def_10,composition(iPr_def_10,X0)),X1)),X2) = composition(converse(X1),composition(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_24154,c_469]) ).
tcf(c_24707,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X1)),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_24154,c_425]) ).
tcf(c_24708,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,join(iPr_def_10,composition(iPr_def_10,X1)))),X2) = join(converse(X0),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_24154,c_422]) ).
tcf(c_24709,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,composition(iPr_def_10,X1)),composition(converse(X2),complement(composition(X2,composition(converse(iPr_def_10),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_15012]) ).
tcf(c_24710,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(join(iPr_def_10,composition(iPr_def_10,X2)),converse(X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_382]) ).
tcf(c_24711,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(join(iPr_def_10,composition(iPr_def_10,X1)),converse(X2)),complement(composition(join(converse(iPr_def_10),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_381]) ).
tcf(c_24712,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,composition(iPr_def_10,X1)),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_380]) ).
tcf(c_24713,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(join(iPr_def_10,composition(iPr_def_10,X1)),converse(X2))) = converse(join(X0,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24154,c_359]) ).
tcf(c_24714,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(iPr_def_10,composition(iPr_def_10,X1))),converse(X2)) = converse(composition(X2,join(X0,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24154,c_321]) ).
tcf(c_24715,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(join(iPr_def_10,composition(iPr_def_10,X1)),converse(X2))) = converse(composition(join(converse(iPr_def_10),X2),X0)),
inference(superposition,[status(thm)],[c_24154,c_274]) ).
tcf(c_24716,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(iPr_def_10,X0)),converse(X1)) = converse(join(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24154,c_264]) ).
tcf(c_24717,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_90]) ).
tcf(c_24718,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(iPr_def_10,X0)),converse(X1)) = converse(composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24154,c_256]) ).
tcf(c_24719,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(iPr_def_10,composition(iPr_def_10,X1))) = converse(join(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_24154,c_251]) ).
tcf(c_24720,plain,
! [X0: $i,X1: $i] : converse(composition(join(iPr_def_10,composition(iPr_def_10,X0)),X1)) = composition(converse(X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24154,c_71]) ).
tcf(c_24721,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(iPr_def_10,composition(iPr_def_10,X1)))) = join(converse(X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_24154,c_70]) ).
tcf(c_24722,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,X1)),join(iPr_def_10,composition(iPr_def_10,X2))) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_24154,c_434]) ).
tcf(c_24723,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(X1,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(iPr_def_10,X2)),composition(converse(X1),X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_15012]) ).
tcf(c_24724,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(X1),join(iPr_def_10,composition(iPr_def_10,X2))),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_382]) ).
tcf(c_24725,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(converse(X1),join(iPr_def_10,composition(iPr_def_10,X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_24154,c_381]) ).
tcf(c_24726,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(converse(X1),join(iPr_def_10,composition(iPr_def_10,X2)))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_24154,c_325]) ).
tcf(c_24728,plain,
converse(composition(join(iPr_def_10,one),iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_24671,c_64,c_63]) ).
tcf(c_24730,plain,
! [X0: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),converse(complement(converse(iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_24699,c_64,c_63]) ).
tcf(c_24732,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(X0),composition(iPr_def_10,X1))) = converse(join(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24719,c_64,c_63]) ).
tcf(c_24733,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),converse(X1))) = converse(join(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24716,c_64,c_63]) ).
tcf(c_24734,plain,
! [X0: $i,X1: $i] : converse(join(iPr_def_10,join(composition(iPr_def_10,X0),X1))) = join(converse(iPr_def_10),converse(X1)),
inference(theory_normalisation,[status(thm)],[c_24704,c_64,c_63]) ).
tcf(c_24735,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),converse(X1))) = converse(join(converse(iPr_def_10),X1)),
inference(theory_normalisation,[status(thm)],[c_24702,c_64,c_63]) ).
tcf(c_24736,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(X0),composition(iPr_def_10,X1))) = converse(join(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_24700,c_64,c_63]) ).
tcf(c_24737,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),converse(join(X1,complement(converse(iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24688,c_64,c_63]) ).
tcf(c_24738,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),converse(join(complement(converse(iPr_def_10)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_24687,c_64,c_63]) ).
tcf(c_24739,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(converse(join(X0,X1)),composition(iPr_def_10,X2))) = converse(join(X0,join(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_24722,c_64,c_63]) ).
tcf(c_24740,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(iPr_def_10,join(composition(iPr_def_10,X0),X1))),X2) = join(converse(iPr_def_10),join(converse(X1),X2)),
inference(theory_normalisation,[status(thm)],[c_24690,c_64,c_63]) ).
tcf(c_24741,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(iPr_def_10,join(converse(X1),composition(iPr_def_10,X2)))) = converse(composition(join(X1,converse(iPr_def_10)),X0)),
inference(theory_normalisation,[status(thm)],[c_24726,c_64,c_63]) ).
tcf(c_24742,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(iPr_def_10,join(composition(iPr_def_10,X1),converse(X2)))) = converse(composition(join(converse(iPr_def_10),X2),X0)),
inference(theory_normalisation,[status(thm)],[c_24715,c_64,c_63]) ).
tcf(c_24743,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(converse(X0),composition(iPr_def_10,X1))),converse(X2)) = converse(composition(X2,join(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_24714,c_64,c_63]) ).
tcf(c_24744,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(iPr_def_10,X0),converse(X1))),converse(X2)) = converse(composition(X2,join(converse(iPr_def_10),X1))),
inference(theory_normalisation,[status(thm)],[c_24698,c_64,c_63]) ).
tcf(c_24745,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(iPr_def_10)),complement(composition(join(iPr_def_10,join(converse(X1),composition(iPr_def_10,X2))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24725,c_64,c_63]) ).
tcf(c_24746,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,join(converse(X1),composition(iPr_def_10,X2))),complement(composition(join(X1,converse(iPr_def_10)),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24724,c_64,c_63]) ).
tcf(c_24747,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(iPr_def_10,join(composition(iPr_def_10,X1),converse(X2))),complement(composition(join(converse(iPr_def_10),X2),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24711,c_64,c_63]) ).
tcf(c_24748,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(converse(iPr_def_10),X1),complement(composition(join(iPr_def_10,join(composition(iPr_def_10,X2),converse(X1))),X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_24710,c_64,c_63]) ).
tcf(c_24921,plain,
! [X0: $i] : join(iPr_def_10,composition(sk1,X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_24178,c_69]) ).
tcf(c_24928,plain,
! [X0: $i] : join(iPr_def_10,composition(iPr_def_10,X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_467,c_24921]) ).
tcf(c_24934,plain,
! [X0: $i] : join(iPr_def_10,join(composition(sk1,X0),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_24921,c_433]) ).
tcf(c_24935,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(sk1,X0),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_24921,c_64]) ).
tcf(c_24936,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(sk1,X1))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_24921,c_209]) ).
tcf(c_24950,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(sk1,X0))) = top,
inference(theory_normalisation,[status(thm)],[c_24934,c_64,c_63]) ).
tcf(c_24951,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(sk1,X0))) = top,
inference(light_normalisation,[status(thm)],[c_24950,c_3111]) ).
tcf(c_25000,plain,
! [X0: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_24928,c_433]) ).
tcf(c_25001,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(iPr_def_10,X0),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_24928,c_64]) ).
tcf(c_25002,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(iPr_def_10,X1))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_24928,c_209]) ).
tcf(c_25012,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(iPr_def_10,X0))) = top,
inference(theory_normalisation,[status(thm)],[c_25000,c_64,c_63]) ).
tcf(c_25013,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(iPr_def_10,X0))) = top,
inference(light_normalisation,[status(thm)],[c_25012,c_3111]) ).
tcf(c_25016,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_2961,c_472]) ).
tcf(c_25017,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_121,c_472]) ).
tcf(c_25021,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,zero))))) = top,
inference(superposition,[status(thm)],[c_3052,c_472]) ).
tcf(c_25022,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(X1,converse(X2)),complement(composition(X2,composition(converse(X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_256,c_472]) ).
tcf(c_25023,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(converse(X1),X2),complement(composition(converse(X2),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_257,c_472]) ).
tcf(c_25024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(X1,converse(X2)),converse(X3)),complement(composition(X3,composition(join(converse(X1),X2),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_271,c_472]) ).
tcf(c_25025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(converse(X1),join(X2,converse(X3))),complement(composition(join(converse(X2),X3),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_274,c_472]) ).
tcf(c_25026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(join(converse(X1),X2),converse(X3)),complement(composition(X3,composition(join(X1,converse(X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_321,c_472]) ).
tcf(c_25027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(composition(converse(X1),join(converse(X2),X3)),complement(composition(join(X2,converse(X3)),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_325,c_472]) ).
tcf(c_25028,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(converse(X1),top),complement(composition(top,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_2778,c_472]) ).
tcf(c_25029,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(top,converse(X1)),complement(composition(X1,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_2776,c_472]) ).
tcf(c_25030,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(sk1,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_130,c_472]) ).
tcf(c_25031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(composition(X1,composition(X2,X3))),complement(composition(composition(X1,X2),composition(X3,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_472]) ).
tcf(c_25032,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,composition(one,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_67,c_472]) ).
tcf(c_25033,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(composition(X1,X2))),complement(composition(converse(X2),composition(converse(X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_71,c_472]) ).
tcf(c_25034,plain,
! [X0: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9558,c_472]) ).
tcf(c_25035,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_11,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12652,c_472]) ).
tcf(c_25037,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(X1),composition(complement(composition(X1,top)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_7621,c_472]) ).
tcf(c_25038,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_2963,c_472]) ).
tcf(c_25039,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(sk1),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_2964,c_472]) ).
tcf(c_25040,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,X1)),complement(composition(sk1,composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_467,c_472]) ).
tcf(c_25041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(composition(converse(composition(X1,X2)),X3)),complement(composition(converse(X2),composition(composition(converse(X1),X3),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_469,c_472]) ).
tcf(c_25042,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,X1)),complement(composition(iPr_def_11,composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_470,c_472]) ).
tcf(c_25043,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9664,c_472]) ).
tcf(c_25044,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9663,c_472]) ).
tcf(c_25045,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(iPr_def_10,X1),top)),complement(composition(join(sk1,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9784,c_472]) ).
tcf(c_25046,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(X1,iPr_def_10),top)),complement(composition(join(X1,sk1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9786,c_472]) ).
tcf(c_25047,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(one,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_472]) ).
tcf(c_25048,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(X1,composition(zero,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10786,c_472]) ).
tcf(c_25049,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(zero,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10822,c_472]) ).
tcf(c_25050,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(sk1),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10832,c_472]) ).
tcf(c_25051,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(sk1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_3696,c_472]) ).
tcf(c_25052,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(composition(complement(iPr_def_12),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_15409,c_472]) ).
tcf(c_25053,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_3657,c_472]) ).
tcf(c_25054,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(complement(iPr_def_12),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_13680,c_472]) ).
tcf(c_25055,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(composition(sk1,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10831,c_472]) ).
tcf(c_25056,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_15484,c_472]) ).
tcf(c_25057,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(top,composition(converse(sk1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4282,c_472]) ).
tcf(c_25058,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_12)),complement(composition(top,composition(converse(iPr_def_11),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4284,c_472]) ).
tcf(c_25059,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_10),X1)),complement(composition(top,composition(composition(converse(sk1),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4321,c_472]) ).
tcf(c_25060,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,converse(iPr_def_10))),complement(composition(iPr_def_12,composition(converse(sk1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4326,c_472]) ).
tcf(c_25061,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(sk1,composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10671,c_472]) ).
tcf(c_25062,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(iPr_def_10,composition(converse(sk1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10655,c_472]) ).
tcf(c_25063,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_12),X1)),complement(composition(top,composition(composition(converse(iPr_def_11),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4342,c_472]) ).
tcf(c_25064,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,converse(iPr_def_12))),complement(composition(iPr_def_12,composition(converse(iPr_def_11),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4347,c_472]) ).
tcf(c_25065,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_11))),complement(composition(sk1,composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_4348,c_472]) ).
tcf(c_25066,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(sk1),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9602,c_472]) ).
tcf(c_25067,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(sk1),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12375,c_472]) ).
tcf(c_25068,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_11,X1)),composition(sk1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12385,c_472]) ).
tcf(c_25069,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(sk1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9595,c_472]) ).
tcf(c_25070,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9601,c_472]) ).
tcf(c_25071,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_11),composition(composition(iPr_def_10,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12332,c_472]) ).
tcf(c_25072,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(sk1,X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12343,c_472]) ).
tcf(c_25073,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_10),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9596,c_472]) ).
tcf(c_25074,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(top,composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9772,c_472]) ).
tcf(c_25075,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_12)),complement(composition(top,composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9807,c_472]) ).
tcf(c_25076,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(composition(sk1,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12573,c_472]) ).
tcf(c_25077,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_10),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12864,c_472]) ).
tcf(c_25078,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(X1,composition(complement(composition(converse(X1),top)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_7622,c_472]) ).
tcf(c_25079,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(top),complement(composition(join(one,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_8978,c_472]) ).
tcf(c_25080,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(top),complement(composition(join(X1,one),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9297,c_472]) ).
tcf(c_25081,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(complement(composition(X1,top))),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_472]) ).
tcf(c_25082,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9806,c_472]) ).
tcf(c_25083,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(top),complement(composition(join(X1,join(one,X2)),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9548,c_472]) ).
tcf(c_25084,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(top,X1)),complement(composition(join(one,X2),composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9568,c_472]) ).
tcf(c_25085,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(top,X1)),complement(composition(top,composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9648,c_472]) ).
tcf(c_25086,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,X1)),complement(composition(iPr_def_10,composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9761,c_472]) ).
tcf(c_25087,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(iPr_def_11,X1),top)),complement(composition(join(iPr_def_12,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9815,c_472]) ).
tcf(c_25088,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,X1)),complement(composition(iPr_def_12,composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9798,c_472]) ).
tcf(c_25089,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(X1,iPr_def_11),top)),complement(composition(join(X1,iPr_def_12),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19586,c_472]) ).
tcf(c_25090,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9805,c_472]) ).
tcf(c_25091,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(join(one,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9944,c_472]) ).
tcf(c_25092,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(top),complement(composition(join(X1,join(X2,one)),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10478,c_472]) ).
tcf(c_25093,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(top,X1)),complement(composition(join(X2,one),composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10483,c_472]) ).
tcf(c_25094,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(join(X1,one),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10497,c_472]) ).
tcf(c_25095,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_11))),complement(composition(iPr_def_10,composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10656,c_472]) ).
tcf(c_25096,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,converse(iPr_def_10))),complement(composition(iPr_def_12,composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10708,c_472]) ).
tcf(c_25097,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,converse(iPr_def_12))),complement(composition(iPr_def_12,composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10707,c_472]) ).
tcf(c_25098,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_10),X1)),complement(composition(top,composition(composition(converse(iPr_def_10),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10871,c_472]) ).
tcf(c_25099,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10897,c_472]) ).
tcf(c_25100,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(composition(complement(iPr_def_12),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10913,c_472]) ).
tcf(c_25101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(top),complement(composition(join(X1,join(X2,join(X3,one))),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_10944,c_472]) ).
tcf(c_25102,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_12),X1)),complement(composition(top,composition(composition(converse(iPr_def_12),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11007,c_472]) ).
tcf(c_25103,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(join(X1,join(one,X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11159,c_472]) ).
tcf(c_25104,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(top,X1)),complement(composition(top,composition(composition(join(one,X2),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11179,c_472]) ).
tcf(c_25105,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(join(one,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11192,c_472]) ).
tcf(c_25106,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(join(one,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11191,c_472]) ).
tcf(c_25107,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(join(X1,join(X2,one)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11240,c_472]) ).
tcf(c_25108,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(top,X1)),complement(composition(top,composition(composition(join(X2,one),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11245,c_472]) ).
tcf(c_25109,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(join(X1,one),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11258,c_472]) ).
tcf(c_25110,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(join(X1,one),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11257,c_472]) ).
tcf(c_25111,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(join(X1,join(one,X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11578,c_472]) ).
tcf(c_25112,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,X1)),complement(composition(iPr_def_10,composition(composition(join(one,X2),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11598,c_472]) ).
tcf(c_25113,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(one,X1),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11604,c_472]) ).
tcf(c_25114,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(join(X1,join(one,X2)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11650,c_472]) ).
tcf(c_25115,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,X1)),complement(composition(iPr_def_12,composition(composition(join(one,X2),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11670,c_472]) ).
tcf(c_25116,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_12)),complement(composition(join(one,X1),composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11676,c_472]) ).
tcf(c_25117,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(join(X1,join(X2,one)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11712,c_472]) ).
tcf(c_25118,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,X1)),complement(composition(iPr_def_10,composition(composition(join(X2,one),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11717,c_472]) ).
tcf(c_25119,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,one),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11723,c_472]) ).
tcf(c_25120,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(join(X1,join(X2,one)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11764,c_472]) ).
tcf(c_25121,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,X1)),complement(composition(iPr_def_12,composition(composition(join(X2,one),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11769,c_472]) ).
tcf(c_25122,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_12)),complement(composition(join(X1,one),composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11775,c_472]) ).
tcf(c_25123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(join(X1,join(X2,join(X3,one))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12194,c_472]) ).
tcf(c_25124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(join(X1,join(X2,join(X3,one))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12257,c_472]) ).
tcf(c_25125,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_10,X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12412,c_472]) ).
tcf(c_25126,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X1)),composition(sk1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12487,c_472]) ).
tcf(c_25127,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12574,c_472]) ).
tcf(c_25128,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_12),composition(composition(iPr_def_10,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12576,c_472]) ).
tcf(c_25129,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(sk1,X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12587,c_472]) ).
tcf(c_25130,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_10),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12608,c_472]) ).
tcf(c_25131,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(iPr_def_10),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12641,c_472]) ).
tcf(c_25132,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_10,X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12794,c_472]) ).
tcf(c_25133,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X1)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12852,c_472]) ).
tcf(c_25134,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_11,X1)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12878,c_472]) ).
tcf(c_25135,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,X1)),complement(composition(complement(iPr_def_12),composition(composition(top,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_13682,c_472]) ).
tcf(c_25136,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(top,composition(converse(complement(iPr_def_12)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_13691,c_472]) ).
tcf(c_25137,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(complement(iPr_def_12),X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_15424,c_472]) ).
tcf(c_25138,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_11,X1)),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_15500,c_472]) ).
tcf(c_25139,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X1)),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16122,c_472]) ).
tcf(c_25140,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(complement(iPr_def_12),X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16160,c_472]) ).
tcf(c_25141,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,one),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_21009,c_472]) ).
tcf(c_25142,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_10),complement(composition(join(sk1,one),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_21029,c_472]) ).
tcf(c_25143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(composition(composition(X1,X2),X3)),complement(composition(X1,composition(X2,composition(X3,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_472]) ).
tcf(c_25144,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(sk1,top)),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_467,c_472]) ).
tcf(c_25145,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(converse(X1),converse(X2))),complement(composition(converse(composition(X2,X1)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_469,c_472]) ).
tcf(c_25146,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,top)),complement(composition(iPr_def_12,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_470,c_472]) ).
tcf(c_25147,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(one,X1)),complement(composition(X1,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_472]) ).
tcf(c_25148,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(zero,X1)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10822,c_472]) ).
tcf(c_25149,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(sk1),iPr_def_11)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10832,c_472]) ).
tcf(c_25150,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_11),complement(iPr_def_12))),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_15409,c_472]) ).
tcf(c_25151,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_11),sk1)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10831,c_472]) ).
tcf(c_25152,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(complement(iPr_def_12)),iPr_def_11)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_15484,c_472]) ).
tcf(c_25153,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,converse(sk1))),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4321,c_472]) ).
tcf(c_25154,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,converse(iPr_def_11))),complement(composition(converse(iPr_def_12),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4342,c_472]) ).
tcf(c_25155,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(sk1),iPr_def_12)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12375,c_472]) ).
tcf(c_25156,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_11),iPr_def_10)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12332,c_472]) ).
tcf(c_25157,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_12),sk1)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12573,c_472]) ).
tcf(c_25158,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_10),iPr_def_11)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12864,c_472]) ).
tcf(c_25159,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(complement(composition(composition(X1,X0),top))),X1)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_472]) ).
tcf(c_25160,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(one,X1),top)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_9568,c_472]) ).
tcf(c_25161,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,top)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_9648,c_472]) ).
tcf(c_25162,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,top)),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_9761,c_472]) ).
tcf(c_25163,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,top)),complement(composition(iPr_def_12,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_9798,c_472]) ).
tcf(c_25164,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(join(X1,one),top)),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_10483,c_472]) ).
tcf(c_25165,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,converse(iPr_def_10))),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_10871,c_472]) ).
tcf(c_25166,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(complement(iPr_def_12)),iPr_def_12)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10897,c_472]) ).
tcf(c_25167,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_12),complement(iPr_def_12))),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_10913,c_472]) ).
tcf(c_25168,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,converse(iPr_def_12))),complement(composition(converse(iPr_def_12),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11007,c_472]) ).
tcf(c_25169,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(top,join(one,X1))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11179,c_472]) ).
tcf(c_25170,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(top,join(X1,one))),complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11245,c_472]) ).
tcf(c_25171,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,join(one,X1))),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11598,c_472]) ).
tcf(c_25172,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,join(one,X1))),complement(composition(iPr_def_12,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11670,c_472]) ).
tcf(c_25173,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,join(X1,one))),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11717,c_472]) ).
tcf(c_25174,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_12,join(X1,one))),complement(composition(iPr_def_12,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_11769,c_472]) ).
tcf(c_25175,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_12),iPr_def_10)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12576,c_472]) ).
tcf(c_25176,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(converse(iPr_def_10),iPr_def_12)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_12641,c_472]) ).
tcf(c_25177,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(complement(iPr_def_12),top)),complement(composition(iPr_def_10,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_13682,c_472]) ).
tcf(c_25178,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,sk1)),complement(composition(X0,iPr_def_10)))) = complement(top),
inference(superposition,[status(thm)],[c_130,c_472]) ).
tcf(c_25179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(composition(X1,composition(X2,X3))),complement(composition(X1,composition(X2,composition(X3,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_66,c_472]) ).
tcf(c_25180,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(converse(composition(X0,X1)),complement(composition(X0,X1)))) = complement(one),
inference(superposition,[status(thm)],[c_67,c_472]) ).
tcf(c_25181,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(X0)),composition(converse(composition(X1,converse(X2))),complement(composition(X1,converse(composition(X0,X2)))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_71,c_472]) ).
tcf(c_25182,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,top)),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_9558,c_472]) ).
tcf(c_25183,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,iPr_def_11)),complement(composition(X0,iPr_def_12)))) = complement(top),
inference(superposition,[status(thm)],[c_12652,c_472]) ).
tcf(c_25185,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,top))),composition(converse(composition(X1,converse(X0))),complement(composition(X1,zero)))) = complement(complement(composition(X0,top))),
inference(superposition,[status(thm)],[c_7621,c_472]) ).
tcf(c_25186,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,zero)))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_2963,c_472]) ).
tcf(c_25187,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(sk1))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2964,c_472]) ).
tcf(c_25188,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,sk1)),complement(composition(X1,composition(iPr_def_10,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_467,c_472]) ).
tcf(c_25189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(composition(converse(X0),X1)),composition(converse(composition(X2,converse(X3))),complement(composition(X2,composition(converse(composition(X0,X3)),X1))))) = complement(composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_469,c_472]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,iPr_def_11)),complement(composition(X1,composition(iPr_def_12,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_470,c_472]) ).
tcf(c_25191,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,iPr_def_12)))) = complement(top),
inference(superposition,[status(thm)],[c_9664,c_472]) ).
tcf(c_25192,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,iPr_def_10)))) = complement(top),
inference(superposition,[status(thm)],[c_9663,c_472]) ).
tcf(c_25193,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(sk1,X1))),complement(composition(X0,composition(join(iPr_def_10,X1),top))))) = complement(top),
inference(superposition,[status(thm)],[c_9784,c_472]) ).
tcf(c_25194,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,sk1))),complement(composition(X0,composition(join(X1,iPr_def_10),top))))) = complement(top),
inference(superposition,[status(thm)],[c_9786,c_472]) ).
tcf(c_25195,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,one)),complement(composition(X1,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1118,c_472]) ).
tcf(c_25196,plain,
! [X0: $i,X1: $i] : join(complement(zero),composition(converse(composition(X0,X1)),complement(composition(X0,zero)))) = complement(zero),
inference(superposition,[status(thm)],[c_10786,c_472]) ).
tcf(c_25197,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,zero)),complement(composition(X1,zero)))) = complement(X0),
inference(superposition,[status(thm)],[c_10822,c_472]) ).
tcf(c_25198,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(composition(X1,converse(sk1))),complement(composition(X1,zero)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_10832,c_472]) ).
tcf(c_25199,plain,
! [X0: $i] : join(complement(sk1),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,zero)))) = complement(sk1),
inference(superposition,[status(thm)],[c_3696,c_472]) ).
tcf(c_25200,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(converse(composition(X1,converse(iPr_def_11))),complement(composition(X1,zero)))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_15409,c_472]) ).
tcf(c_25201,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(complement(iPr_def_12)))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_3657,c_472]) ).
tcf(c_25202,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,complement(iPr_def_12))),complement(composition(X0,iPr_def_10)))) = complement(top),
inference(superposition,[status(thm)],[c_13680,c_472]) ).
tcf(c_25203,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),composition(converse(composition(X1,converse(iPr_def_11))),complement(composition(X1,zero)))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_10831,c_472]) ).
tcf(c_25204,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(composition(X1,converse(complement(iPr_def_12)))),complement(composition(X1,zero)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15484,c_472]) ).
tcf(c_25205,plain,
! [X0: $i] : join(complement(converse(sk1)),composition(converse(composition(X0,top)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_4282,c_472]) ).
tcf(c_25206,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),composition(converse(composition(X0,top)),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4284,c_472]) ).
tcf(c_25207,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(sk1),X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(converse(iPr_def_10),X0))))) = complement(composition(converse(sk1),X0)),
inference(superposition,[status(thm)],[c_4321,c_472]) ).
tcf(c_25208,plain,
! [X0: $i] : join(complement(converse(sk1)),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,composition(iPr_def_11,converse(iPr_def_10)))))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_4326,c_472]) ).
tcf(c_25209,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,sk1)),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_10)))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10671,c_472]) ).
tcf(c_25210,plain,
! [X0: $i] : join(complement(converse(sk1)),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_10)))))) = complement(converse(sk1)),
inference(superposition,[status(thm)],[c_10655,c_472]) ).
tcf(c_25211,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_11),X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(converse(iPr_def_12),X0))))) = complement(composition(converse(iPr_def_11),X0)),
inference(superposition,[status(thm)],[c_4342,c_472]) ).
tcf(c_25212,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,composition(iPr_def_11,converse(iPr_def_12)))))) = complement(converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_4347,c_472]) ).
tcf(c_25213,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,sk1)),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_11)))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4348,c_472]) ).
tcf(c_25214,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(sk1))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9602,c_472]) ).
tcf(c_25215,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(composition(X1,converse(sk1))),complement(composition(X1,zero)))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12375,c_472]) ).
tcf(c_25216,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),complement(composition(X0,zero)))) = complement(sk1),
inference(superposition,[status(thm)],[c_12385,c_472]) ).
tcf(c_25217,plain,
! [X0: $i] : join(complement(sk1),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,zero)))) = complement(sk1),
inference(superposition,[status(thm)],[c_9595,c_472]) ).
tcf(c_25218,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,zero)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_9601,c_472]) ).
tcf(c_25219,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(composition(X1,converse(iPr_def_11))),complement(composition(X1,zero)))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12332,c_472]) ).
tcf(c_25220,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(composition(sk1,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12343,c_472]) ).
tcf(c_25221,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_9596,c_472]) ).
tcf(c_25222,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,top)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9772,c_472]) ).
tcf(c_25223,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,top)),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_9807,c_472]) ).
tcf(c_25224,plain,
! [X0: $i,X1: $i] : join(complement(composition(sk1,X0)),composition(converse(composition(X1,converse(iPr_def_12))),complement(composition(X1,zero)))) = complement(composition(sk1,X0)),
inference(superposition,[status(thm)],[c_12573,c_472]) ).
tcf(c_25225,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(composition(X1,converse(iPr_def_10))),complement(composition(X1,zero)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_12864,c_472]) ).
tcf(c_25226,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(converse(X0),top))),composition(converse(composition(X1,X0)),complement(composition(X1,zero)))) = complement(complement(composition(converse(X0),top))),
inference(superposition,[status(thm)],[c_7622,c_472]) ).
tcf(c_25227,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(one,X1))),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_8978,c_472]) ).
tcf(c_25228,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,one))),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_9297,c_472]) ).
tcf(c_25229,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,converse(complement(composition(X0,top))))),complement(composition(X1,zero)))) = complement(X0),
inference(superposition,[status(thm)],[c_7654,c_472]) ).
tcf(c_25230,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,zero)))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_9806,c_472]) ).
tcf(c_25231,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(X1,join(one,X2)))),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_9548,c_472]) ).
tcf(c_25232,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,join(one,X2))),complement(composition(X1,composition(top,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9568,c_472]) ).
tcf(c_25233,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(top,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9648,c_472]) ).
tcf(c_25234,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,composition(iPr_def_10,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9761,c_472]) ).
tcf(c_25235,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(iPr_def_12,X1))),complement(composition(X0,composition(join(iPr_def_11,X1),top))))) = complement(top),
inference(superposition,[status(thm)],[c_9815,c_472]) ).
tcf(c_25236,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,iPr_def_12)),complement(composition(X1,composition(iPr_def_12,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_9798,c_472]) ).
tcf(c_25237,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,iPr_def_12))),complement(composition(X0,composition(join(X1,iPr_def_11),top))))) = complement(top),
inference(superposition,[status(thm)],[c_19586,c_472]) ).
tcf(c_25238,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(complement(iPr_def_12)))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9805,c_472]) ).
tcf(c_25239,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),composition(converse(composition(X1,top)),complement(composition(X1,top)))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_9944,c_472]) ).
tcf(c_25240,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(X1,join(X2,one)))),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_10478,c_472]) ).
tcf(c_25241,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,join(X2,one))),complement(composition(X1,composition(top,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_10483,c_472]) ).
tcf(c_25242,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),composition(converse(composition(X1,top)),complement(composition(X1,top)))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_10497,c_472]) ).
tcf(c_25243,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_11)))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10656,c_472]) ).
tcf(c_25244,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,composition(iPr_def_11,converse(iPr_def_10)))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_10708,c_472]) ).
tcf(c_25245,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,composition(iPr_def_11,converse(iPr_def_12)))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10707,c_472]) ).
tcf(c_25246,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_10),X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(converse(iPr_def_10),X0))))) = complement(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_10871,c_472]) ).
tcf(c_25247,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(composition(X1,converse(complement(iPr_def_12)))),complement(composition(X1,zero)))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_10897,c_472]) ).
tcf(c_25248,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),composition(converse(composition(X1,converse(iPr_def_12))),complement(composition(X1,zero)))) = complement(composition(complement(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_10913,c_472]) ).
tcf(c_25249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(top),composition(converse(composition(X0,join(X1,join(X2,join(X3,one))))),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_10944,c_472]) ).
tcf(c_25250,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(converse(iPr_def_12),X0))))) = complement(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_11007,c_472]) ).
tcf(c_25251,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),composition(converse(composition(X2,top)),complement(composition(X2,top)))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11159,c_472]) ).
tcf(c_25252,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(composition(X2,top)),complement(composition(X2,composition(top,X1))))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11179,c_472]) ).
tcf(c_25253,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),composition(converse(composition(X1,iPr_def_12)),complement(composition(X1,iPr_def_12)))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_11192,c_472]) ).
tcf(c_25254,plain,
! [X0: $i,X1: $i] : join(complement(join(one,X0)),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,iPr_def_10)))) = complement(join(one,X0)),
inference(superposition,[status(thm)],[c_11191,c_472]) ).
tcf(c_25255,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),composition(converse(composition(X2,top)),complement(composition(X2,top)))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11240,c_472]) ).
tcf(c_25256,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(composition(X2,top)),complement(composition(X2,composition(top,X1))))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11245,c_472]) ).
tcf(c_25257,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),composition(converse(composition(X1,iPr_def_12)),complement(composition(X1,iPr_def_12)))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_11258,c_472]) ).
tcf(c_25258,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,one)),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,iPr_def_10)))) = complement(join(X0,one)),
inference(superposition,[status(thm)],[c_11257,c_472]) ).
tcf(c_25259,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),composition(converse(composition(X2,iPr_def_10)),complement(composition(X2,iPr_def_10)))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11578,c_472]) ).
tcf(c_25260,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(composition(X2,iPr_def_10)),complement(composition(X2,composition(iPr_def_10,X1))))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11598,c_472]) ).
tcf(c_25261,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(one,X1))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11604,c_472]) ).
tcf(c_25262,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(one,X1))),composition(converse(composition(X2,iPr_def_12)),complement(composition(X2,iPr_def_12)))) = complement(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_11650,c_472]) ).
tcf(c_25263,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(one,X0),X1)),composition(converse(composition(X2,iPr_def_12)),complement(composition(X2,composition(iPr_def_12,X1))))) = complement(composition(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_11670,c_472]) ).
tcf(c_25264,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,join(one,X1))),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11676,c_472]) ).
tcf(c_25265,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),composition(converse(composition(X2,iPr_def_10)),complement(composition(X2,iPr_def_10)))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11712,c_472]) ).
tcf(c_25266,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(composition(X2,iPr_def_10)),complement(composition(X2,composition(iPr_def_10,X1))))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11717,c_472]) ).
tcf(c_25267,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,one))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11723,c_472]) ).
tcf(c_25268,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,one))),composition(converse(composition(X2,iPr_def_12)),complement(composition(X2,iPr_def_12)))) = complement(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_11764,c_472]) ).
tcf(c_25269,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(join(X0,one),X1)),composition(converse(composition(X2,iPr_def_12)),complement(composition(X2,composition(iPr_def_12,X1))))) = complement(composition(join(X0,one),X1)),
inference(superposition,[status(thm)],[c_11769,c_472]) ).
tcf(c_25270,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_12)),composition(converse(composition(X0,join(X1,one))),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11775,c_472]) ).
tcf(c_25271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(composition(X3,top)),complement(composition(X3,top)))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12194,c_472]) ).
tcf(c_25272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(composition(X3,iPr_def_10)),complement(composition(X3,iPr_def_10)))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12257,c_472]) ).
tcf(c_25273,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(composition(iPr_def_10,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_12412,c_472]) ).
tcf(c_25274,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),complement(composition(X0,zero)))) = complement(sk1),
inference(superposition,[status(thm)],[c_12487,c_472]) ).
tcf(c_25275,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,zero)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12574,c_472]) ).
tcf(c_25276,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(composition(X1,converse(iPr_def_12))),complement(composition(X1,zero)))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_12576,c_472]) ).
tcf(c_25277,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(sk1,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12587,c_472]) ).
tcf(c_25278,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12608,c_472]) ).
tcf(c_25279,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(composition(X1,converse(iPr_def_10))),complement(composition(X1,zero)))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_12641,c_472]) ).
tcf(c_25280,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(iPr_def_10,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12794,c_472]) ).
tcf(c_25281,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12852,c_472]) ).
tcf(c_25282,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),complement(composition(X0,zero)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12878,c_472]) ).
tcf(c_25283,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),composition(converse(composition(X1,complement(iPr_def_12))),complement(composition(X1,composition(iPr_def_10,X0))))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_13682,c_472]) ).
tcf(c_25284,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),composition(converse(composition(X0,top)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13691,c_472]) ).
tcf(c_25285,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(composition(complement(iPr_def_12),X1)))),complement(composition(X0,zero)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_15424,c_472]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),complement(composition(X0,zero)))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_15500,c_472]) ).
tcf(c_25287,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),complement(composition(X0,zero)))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_16122,c_472]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(complement(iPr_def_12),X1)))),complement(composition(X0,zero)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_16160,c_472]) ).
tcf(c_25289,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(iPr_def_10,one))),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_21009,c_472]) ).
tcf(c_25290,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(sk1,one))),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_21029,c_472]) ).
tcf(c_25292,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_472,c_433]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,composition(converse(composition(X2,X3)),complement(composition(X2,composition(X3,X0)))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_472,c_209]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(zero,X1)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25148,c_3052]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_25196,c_3052,c_10786]) ).
tcf(c_25315,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_25192,c_121]) ).
tcf(c_25316,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,iPr_def_12)))) = zero,
inference(light_normalisation,[status(thm)],[c_25191,c_121]) ).
tcf(c_25317,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,iPr_def_11)),complement(composition(X0,iPr_def_12)))) = zero,
inference(light_normalisation,[status(thm)],[c_25183,c_121]) ).
tcf(c_25318,plain,
! [X0: $i] : join(zero,composition(composition(top,converse(X0)),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25182,c_121,c_2776]) ).
tcf(c_25319,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,sk1)),complement(composition(X0,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_25178,c_121]) ).
tcf(c_25329,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(zero,composition(X1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25049,c_3363]) ).
tcf(c_25330,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(X1,zero)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25048,c_3363,c_10822]) ).
tcf(c_25338,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(iPr_def_10))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25278,c_3052,c_10786]) ).
tcf(c_25339,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(iPr_def_12))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25275,c_3052,c_3111,c_10786]) ).
tcf(c_25340,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(iPr_def_10))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25221,c_2962,c_3052,c_10786]) ).
tcf(c_25341,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(iPr_def_11))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25218,c_3052,c_3111,c_10786]) ).
tcf(c_25342,plain,
! [X0: $i] : join(complement(sk1),composition(converse(composition(X0,converse(iPr_def_12))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_25217,c_3052,c_10786]) ).
tcf(c_25343,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(sk1))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25214,c_3052,c_10786]) ).
tcf(c_25344,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,complement(iPr_def_12))),complement(composition(X0,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_25202,c_121]) ).
tcf(c_25345,plain,
! [X0: $i] : join(complement(sk1),composition(converse(composition(X0,converse(iPr_def_11))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_25199,c_3052,c_10786]) ).
tcf(c_25346,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(sk1))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25187,c_2962,c_3052,c_10786]) ).
tcf(c_25357,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,join(sk1,one))),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25290,c_3111]) ).
tcf(c_25358,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,join(iPr_def_10,one))),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25289,c_3111]) ).
tcf(c_25359,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(complement(iPr_def_12)))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25238,c_3052,c_10786]) ).
tcf(c_25360,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,one))),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25228,c_121]) ).
tcf(c_25361,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(one,X1))),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25227,c_121]) ).
tcf(c_25362,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(complement(iPr_def_12)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25201,c_2962,c_3052,c_10786]) ).
tcf(c_25363,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_12)),complement(composition(converse(iPr_def_12),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25168,c_9807]) ).
tcf(c_25364,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(converse(iPr_def_10),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25165,c_9772]) ).
tcf(c_25369,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(top,composition(join(X1,one),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25094,c_2759]) ).
tcf(c_25370,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(top,composition(join(one,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25091,c_2759]) ).
tcf(c_25373,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(X1,one),composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25080,c_2759]) ).
tcf(c_25374,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(join(one,X1),composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25079,c_2759]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25282,c_3052,c_3111,c_10786]) ).
tcf(c_25382,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25281,c_3052,c_3111,c_10786]) ).
tcf(c_25383,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(iPr_def_10,X1)))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25280,c_3052,c_10786]) ).
tcf(c_25384,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(sk1,X1)))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25277,c_3052,c_10786]) ).
tcf(c_25385,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_25274,c_3052,c_10786]) ).
tcf(c_25386,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(composition(iPr_def_10,X1)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25273,c_2962,c_3052,c_10786]) ).
tcf(c_25387,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(iPr_def_12))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_25230,c_3052,c_10786]) ).
tcf(c_25388,plain,
! [X0: $i] : join(complement(converse(iPr_def_12)),composition(composition(top,converse(X0)),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_25223,c_2776]) ).
tcf(c_25389,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(composition(top,converse(X0)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25222,c_2776]) ).
tcf(c_25390,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(composition(sk1,X1)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25220,c_2962,c_3052,c_10786]) ).
tcf(c_25391,plain,
! [X0: $i,X1: $i] : join(complement(sk1),composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),top)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_25216,c_3052,c_10786]) ).
tcf(c_25392,plain,
! [X0: $i] : join(complement(converse(iPr_def_11)),composition(composition(top,converse(X0)),complement(composition(X0,converse(iPr_def_12))))) = complement(converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_25206,c_2776]) ).
tcf(c_25393,plain,
! [X0: $i] : join(complement(converse(sk1)),composition(composition(top,converse(X0)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(sk1)),
inference(light_normalisation,[status(thm)],[c_25205,c_2776]) ).
tcf(c_25394,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(iPr_def_11))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_25186,c_3052,c_10786]) ).
tcf(c_25396,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_11,X1)),composition(iPr_def_10,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25134,c_3363]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_12,X1)),composition(iPr_def_10,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25133,c_3363]) ).
tcf(c_25398,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_10,X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25132,c_3363]) ).
tcf(c_25399,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_10),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25131,c_3363]) ).
tcf(c_25400,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(sk1,X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25129,c_3363]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_12),composition(composition(iPr_def_10,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25128,c_3363]) ).
tcf(c_25402,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_12,X1)),composition(sk1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25126,c_3363]) ).
tcf(c_25403,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_10,X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25125,c_3363]) ).
tcf(c_25404,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_10),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25077,c_3363]) ).
tcf(c_25405,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_12),composition(composition(sk1,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25076,c_3363]) ).
tcf(c_25406,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(sk1,X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25072,c_3363]) ).
tcf(c_25407,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_11),composition(composition(iPr_def_10,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25071,c_3363]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_11,X1)),composition(sk1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25068,c_3363]) ).
tcf(c_25409,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(sk1),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25067,c_3363]) ).
tcf(c_25410,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_11),composition(composition(sk1,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25055,c_3363]) ).
tcf(c_25411,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(sk1),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25050,c_3363]) ).
tcf(c_25412,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(composition(complement(iPr_def_12),X1)))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_25288,c_3052,c_10786]) ).
tcf(c_25413,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(composition(complement(iPr_def_12),X1)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_25285,c_2962,c_3052,c_10786]) ).
tcf(c_25414,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(X1,join(X2,one)))),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25240,c_121]) ).
tcf(c_25415,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(X1,join(one,X2)))),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25231,c_121]) ).
tcf(c_25416,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(complement(composition(composition(X1,X0),top))),X1)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25159,c_3052]) ).
tcf(c_25417,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(complement(iPr_def_12),X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25140,c_3363]) ).
tcf(c_25418,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_12,X1)),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25139,c_3363]) ).
tcf(c_25419,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_11,X1)),composition(complement(iPr_def_12),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25138,c_3363]) ).
tcf(c_25420,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(complement(iPr_def_12),X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25137,c_3363]) ).
tcf(c_25421,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(top,composition(join(X1,join(X2,one)),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25107,c_2759]) ).
tcf(c_25422,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(top,composition(join(X1,join(one,X2)),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25103,c_2759]) ).
tcf(c_25423,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_12),composition(composition(complement(iPr_def_12),X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25100,c_3363]) ).
tcf(c_25424,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25099,c_3363]) ).
tcf(c_25425,plain,
! [X0: $i] : join(complement(X0),composition(composition(iPr_def_11,converse(iPr_def_12)),complement(composition(iPr_def_11,composition(converse(iPr_def_12),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25097,c_5976,c_20962]) ).
tcf(c_25426,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_11,converse(iPr_def_10))),complement(composition(iPr_def_11,composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25096,c_20378]) ).
tcf(c_25427,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_11))),complement(composition(iPr_def_10,composition(converse(iPr_def_11),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25095,c_15771]) ).
tcf(c_25428,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,join(X2,one)),composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25092,c_2759]) ).
tcf(c_25429,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(top,complement(composition(join(X1,join(one,X2)),composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25083,c_2759]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(complement(composition(X1,top))),composition(X1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25081,c_3363]) ).
tcf(c_25431,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(X1,composition(complement(composition(converse(X1),top)),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25078,c_3363]) ).
tcf(c_25434,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(iPr_def_10,composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25062,c_15723]) ).
tcf(c_25437,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_11,X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25056,c_3363]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(iPr_def_11),composition(composition(complement(iPr_def_12),X1),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25052,c_3363]) ).
tcf(c_25439,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(X1),composition(complement(composition(X1,top)),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25037,c_3363]) ).
tcf(c_25440,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_25292,c_64,c_63]) ).
tcf(c_25441,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_25440,c_2961]) ).
tcf(c_25442,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_25441,c_64,c_63]) ).
tcf(c_25444,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_25287,c_3052,c_10786]) ).
tcf(c_25445,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),top)) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_25286,c_3052,c_10786]) ).
tcf(c_25446,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),composition(composition(top,converse(X0)),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(complement(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_25284,c_2776]) ).
tcf(c_25447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(zero,composition(converse(composition(X0,join(X1,join(X2,join(X3,one))))),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25249,c_121]) ).
tcf(c_25448,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,iPr_def_12))),complement(composition(X0,composition(join(X1,iPr_def_11),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25237,c_121]) ).
tcf(c_25449,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(iPr_def_12,X1))),complement(composition(X0,composition(join(iPr_def_11,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25235,c_121]) ).
tcf(c_25450,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,sk1))),complement(composition(X0,composition(join(X1,iPr_def_10),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25194,c_121]) ).
tcf(c_25451,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(sk1,X1))),complement(composition(X0,composition(join(iPr_def_10,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25193,c_121]) ).
tcf(c_25452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(top,complement(composition(top,composition(join(X1,join(X2,join(X3,one))),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25123,c_2759]) ).
tcf(c_25453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(top,complement(composition(join(X1,join(X2,join(X3,one))),composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25101,c_2759]) ).
tcf(c_26062,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(converse(join(X0,X1)),join(X2,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_422,c_12304]) ).
tcf(c_26065,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(complement(X0),join(X1,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_425,c_12304]) ).
tcf(c_26066,plain,
! [X0: $i] : composition(iPr_def_12,join(iPr_def_11,join(X0,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_12683,c_12304]) ).
tcf(c_26081,plain,
! [X0: $i] : composition(iPr_def_12,join(iPr_def_10,join(X0,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_23229,c_12304]) ).
tcf(c_26088,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(converse(join(X1,X2)),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_422,c_12304]) ).
tcf(c_26091,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(complement(X1),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_425,c_12304]) ).
tcf(c_26093,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(one,iPr_def_11))) = iPr_def_12,
inference(superposition,[status(thm)],[c_12680,c_12304]) ).
tcf(c_26104,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(iPr_def_10,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_23229,c_12304]) ).
tcf(c_26107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(iPr_def_12,join(X0,join(X1,join(X2,join(X3,one))))) = iPr_def_12,
inference(superposition,[status(thm)],[c_64,c_12304]) ).
tcf(c_26110,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(X1,top))) = iPr_def_12,
inference(superposition,[status(thm)],[c_2640,c_12304]) ).
tcf(c_26111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(join(X1,join(X2,join(X3,one))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_12304,c_472]) ).
tcf(c_26112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(iPr_def_12,X0),join(X1,join(X2,join(X3,one)))) = join(iPr_def_12,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(superposition,[status(thm)],[c_12304,c_68]) ).
tcf(c_26113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(iPr_def_12,composition(join(X0,join(X1,join(X2,one))),X3)) = composition(iPr_def_12,X3),
inference(superposition,[status(thm)],[c_12304,c_66]) ).
tcf(c_26114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,iPr_def_12),join(X1,join(X2,join(X3,one)))) = join(composition(X0,join(X1,join(X2,join(X3,one)))),iPr_def_12),
inference(superposition,[status(thm)],[c_12304,c_68]) ).
tcf(c_26115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),join(composition(converse(iPr_def_12),complement(iPr_def_12)),X3)) = join(complement(join(X0,join(X1,join(X2,one)))),X3),
inference(superposition,[status(thm)],[c_12304,c_425]) ).
tcf(c_26117,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,iPr_def_12),join(X0,join(X1,join(X2,one)))) = join(join(X0,join(X1,join(X2,one))),iPr_def_12),
inference(superposition,[status(thm)],[c_12304,c_1194]) ).
tcf(c_26118,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12304,c_90]) ).
tcf(c_26119,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(X1,join(X2,one)))),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_12304,c_271]) ).
tcf(c_26126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,join(X2,one)))),composition(converse(composition(X3,iPr_def_12)),complement(composition(X3,iPr_def_12)))) = complement(join(X0,join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_12304,c_472]) ).
tcf(c_26128,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(iPr_def_11,one))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26093,c_64,c_63]) ).
tcf(c_26131,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(X0,join(one,complement(X1)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26091,c_64,c_63]) ).
tcf(c_26132,plain,
! [X0: $i,X1: $i] : composition(iPr_def_12,join(one,join(X0,complement(X1)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26065,c_64,c_63]) ).
tcf(c_26135,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(X0,join(one,converse(join(X1,X2))))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26088,c_64,c_63]) ).
tcf(c_26136,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_12,join(one,join(X0,converse(join(X1,X2))))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26062,c_64,c_63]) ).
tcf(c_26137,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_12,one),join(X0,join(X1,join(X2,one)))) = join(X0,join(X1,join(X2,join(iPr_def_12,one)))),
inference(theory_normalisation,[status(thm)],[c_26117,c_64,c_63]) ).
tcf(c_26139,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),complement(join(X0,join(X1,join(X2,one))))) = complement(join(X0,join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_26118,c_64,c_63]) ).
tcf(c_26141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,iPr_def_12),join(X1,join(X2,join(X3,one)))) = join(iPr_def_12,composition(X0,join(X1,join(X2,join(X3,one))))),
inference(theory_normalisation,[status(thm)],[c_26114,c_64,c_63]) ).
tcf(c_26142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(iPr_def_12),complement(iPr_def_12)),join(X0,complement(join(X1,join(X2,join(X3,one)))))) = join(complement(join(X1,join(X2,join(X3,one)))),X0),
inference(theory_normalisation,[status(thm)],[c_26115,c_64,c_63]) ).
tcf(c_26223,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),complement(iPr_def_12))) = composition(join(X0,one),complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_1201,c_13612]) ).
tcf(c_26224,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),complement(iPr_def_12))) = composition(join(one,X0),complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_1194,c_13612]) ).
tcf(c_26234,plain,
! [X0: $i] : join(iPr_def_10,join(join(complement(iPr_def_12),X0),complement(join(complement(iPr_def_12),X0)))) = top,
inference(superposition,[status(thm)],[c_13612,c_433]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),X1))) = join(X0,join(complement(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_13612,c_209]) ).
tcf(c_26238,plain,
! [X0: $i] : join(converse(join(iPr_def_10,complement(iPr_def_12))),X0) = converse(join(complement(iPr_def_12),converse(X0))),
inference(superposition,[status(thm)],[c_13612,c_434]) ).
tcf(c_26239,plain,
join(complement(iPr_def_12),complement(join(iPr_def_10,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13612,c_433]) ).
tcf(c_26242,plain,
join(complement(iPr_def_12),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_13612,c_2636]) ).
tcf(c_26244,plain,
! [X0: $i] : join(iPr_def_12,join(complement(iPr_def_12),X0)) = top,
inference(superposition,[status(thm)],[c_13612,c_3811]) ).
tcf(c_26246,plain,
join(iPr_def_10,complement(join(complement(iPr_def_12),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13612,c_5222]) ).
tcf(c_26249,plain,
composition(iPr_def_12,join(complement(iPr_def_12),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_13612,c_11764]) ).
tcf(c_26250,plain,
composition(iPr_def_10,join(complement(iPr_def_12),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13612,c_11712]) ).
tcf(c_26251,plain,
composition(top,join(complement(iPr_def_12),one)) = top,
inference(superposition,[status(thm)],[c_13612,c_11240]) ).
tcf(c_26252,plain,
composition(join(complement(iPr_def_12),one),top) = top,
inference(superposition,[status(thm)],[c_13612,c_10478]) ).
tcf(c_26254,plain,
! [X0: $i] : join(X0,complement(join(complement(iPr_def_12),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_13612,c_6002]) ).
tcf(c_26255,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_12),complement(X0))) = top,
inference(superposition,[status(thm)],[c_13612,c_3731]) ).
tcf(c_26256,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13612,c_3731]) ).
tcf(c_26260,plain,
join(one,join(complement(iPr_def_12),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_13612,c_4866]) ).
tcf(c_26261,plain,
join(one,converse(join(complement(iPr_def_12),complement(one)))) = top,
inference(superposition,[status(thm)],[c_13612,c_4932]) ).
tcf(c_26263,plain,
join(iPr_def_11,complement(join(complement(iPr_def_12),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13612,c_16471]) ).
tcf(c_26265,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13612,c_11490]) ).
tcf(c_26268,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(complement(iPr_def_12),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13612,c_12304]) ).
tcf(c_26269,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(complement(iPr_def_12),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13612,c_12257]) ).
tcf(c_26270,plain,
! [X0: $i] : composition(top,join(X0,join(complement(iPr_def_12),one))) = top,
inference(superposition,[status(thm)],[c_13612,c_12194]) ).
tcf(c_26271,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_12),one)),top) = top,
inference(superposition,[status(thm)],[c_13612,c_10944]) ).
tcf(c_26272,plain,
! [X0: $i] : composition(iPr_def_12,join(complement(iPr_def_12),join(X0,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13612,c_12304]) ).
tcf(c_26273,plain,
! [X0: $i] : composition(iPr_def_10,join(complement(iPr_def_12),join(X0,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13612,c_12257]) ).
tcf(c_26274,plain,
! [X0: $i] : composition(top,join(complement(iPr_def_12),join(X0,one))) = top,
inference(superposition,[status(thm)],[c_13612,c_12194]) ).
tcf(c_26275,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),join(X0,one)),top) = top,
inference(superposition,[status(thm)],[c_13612,c_10944]) ).
tcf(c_26278,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13612,c_11490]) ).
tcf(c_26279,plain,
join(complement(iPr_def_12),composition(top,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_13612,c_13358]) ).
tcf(c_26280,plain,
join(complement(iPr_def_12),complement(sk1)) = top,
inference(superposition,[status(thm)],[c_13612,c_13659]) ).
tcf(c_26282,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(sk1))) = top,
inference(superposition,[status(thm)],[c_13612,c_13712]) ).
tcf(c_26283,plain,
join(complement(iPr_def_12),composition(top,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13612,c_16698]) ).
tcf(c_26285,plain,
join(complement(iPr_def_12),sk1) = join(complement(iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_13612,c_23230]) ).
tcf(c_26292,plain,
join(complement(iPr_def_10),complement(iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_26242,c_64,c_63]) ).
tcf(c_26300,plain,
composition(join(one,complement(iPr_def_12)),top) = top,
inference(theory_normalisation,[status(thm)],[c_26252,c_64,c_63]) ).
tcf(c_26301,plain,
composition(top,join(one,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_26251,c_64,c_63]) ).
tcf(c_26302,plain,
composition(iPr_def_10,join(one,complement(iPr_def_12))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26250,c_64,c_63]) ).
tcf(c_26303,plain,
composition(iPr_def_12,join(one,complement(iPr_def_12))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26249,c_64,c_63]) ).
tcf(c_26310,plain,
join(sk1,complement(iPr_def_12)) = join(iPr_def_10,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_26285,c_64,c_63]) ).
tcf(c_26311,plain,
join(sk1,complement(iPr_def_12)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_26310,c_13440]) ).
tcf(c_26316,plain,
! [X0: $i] : join(complement(iPr_def_10),join(X0,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_26256,c_64,c_63]) ).
tcf(c_26320,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26246,c_64,c_63]) ).
tcf(c_26330,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_26278,c_64,c_63]) ).
tcf(c_26331,plain,
! [X0: $i] : composition(join(one,join(X0,complement(iPr_def_12))),top) = top,
inference(theory_normalisation,[status(thm)],[c_26275,c_64,c_63]) ).
tcf(c_26332,plain,
! [X0: $i] : composition(top,join(one,join(X0,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_26274,c_64,c_63]) ).
tcf(c_26333,plain,
! [X0: $i] : composition(iPr_def_10,join(one,join(X0,complement(iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26273,c_64,c_63]) ).
tcf(c_26334,plain,
! [X0: $i] : composition(iPr_def_12,join(one,join(X0,complement(iPr_def_12)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26272,c_64,c_63]) ).
tcf(c_26335,plain,
! [X0: $i] : composition(join(X0,join(one,complement(iPr_def_12))),top) = top,
inference(theory_normalisation,[status(thm)],[c_26271,c_64,c_63]) ).
tcf(c_26336,plain,
! [X0: $i] : composition(top,join(X0,join(one,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_26270,c_64,c_63]) ).
tcf(c_26337,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(one,complement(iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26269,c_64,c_63]) ).
tcf(c_26338,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(one,complement(iPr_def_12)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26268,c_64,c_63]) ).
tcf(c_26339,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_26265,c_64,c_63]) ).
tcf(c_26343,plain,
join(complement(iPr_def_12),complement(complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_26239,c_13440]) ).
tcf(c_26346,plain,
! [X0: $i] : converse(join(complement(iPr_def_12),converse(X0))) = join(converse(complement(iPr_def_12)),X0),
inference(light_normalisation,[status(thm)],[c_26238,c_13440]) ).
tcf(c_26347,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(X0,complement(join(complement(iPr_def_12),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_26234,c_64,c_63]) ).
tcf(c_26376,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,one),complement(sk1))) = composition(join(X0,one),complement(sk1)),
inference(superposition,[status(thm)],[c_1201,c_13636]) ).
tcf(c_26377,plain,
! [X0: $i] : join(iPr_def_12,composition(join(one,X0),complement(sk1))) = composition(join(one,X0),complement(sk1)),
inference(superposition,[status(thm)],[c_1194,c_13636]) ).
tcf(c_26387,plain,
! [X0: $i] : join(iPr_def_12,join(join(complement(sk1),X0),complement(join(complement(sk1),X0)))) = top,
inference(superposition,[status(thm)],[c_13636,c_433]) ).
tcf(c_26389,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(complement(sk1),X1))) = join(X0,join(complement(sk1),X1)),
inference(superposition,[status(thm)],[c_13636,c_209]) ).
tcf(c_26391,plain,
! [X0: $i] : join(converse(join(iPr_def_12,complement(sk1))),X0) = converse(join(complement(sk1),converse(X0))),
inference(superposition,[status(thm)],[c_13636,c_434]) ).
tcf(c_26392,plain,
join(complement(sk1),complement(join(iPr_def_12,complement(sk1)))) = top,
inference(superposition,[status(thm)],[c_13636,c_433]) ).
tcf(c_26393,plain,
! [X0: $i] : composition(join(iPr_def_11,join(complement(sk1),X0)),top) = composition(join(complement(sk1),X0),top),
inference(superposition,[status(thm)],[c_13636,c_9815]) ).
tcf(c_26398,plain,
! [X0: $i] : join(sk1,join(complement(sk1),X0)) = top,
inference(superposition,[status(thm)],[c_13636,c_3811]) ).
tcf(c_26399,plain,
join(iPr_def_10,join(complement(sk1),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13636,c_11079]) ).
tcf(c_26400,plain,
join(iPr_def_10,complement(join(complement(sk1),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13636,c_5222]) ).
tcf(c_26402,plain,
composition(iPr_def_12,join(complement(sk1),one)) = iPr_def_12,
inference(superposition,[status(thm)],[c_13636,c_11764]) ).
tcf(c_26403,plain,
composition(iPr_def_10,join(complement(sk1),one)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13636,c_11712]) ).
tcf(c_26404,plain,
composition(top,join(complement(sk1),one)) = top,
inference(superposition,[status(thm)],[c_13636,c_11240]) ).
tcf(c_26405,plain,
composition(join(complement(sk1),one),top) = top,
inference(superposition,[status(thm)],[c_13636,c_10478]) ).
tcf(c_26407,plain,
! [X0: $i] : join(X0,complement(join(complement(sk1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_13636,c_6002]) ).
tcf(c_26408,plain,
! [X0: $i] : join(X0,join(complement(sk1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_13636,c_3731]) ).
tcf(c_26410,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(sk1),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13636,c_3307]) ).
tcf(c_26411,plain,
! [X0: $i] : join(iPr_def_10,join(complement(sk1),join(X0,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13636,c_3307]) ).
tcf(c_26412,plain,
join(one,join(complement(sk1),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_13636,c_4866]) ).
tcf(c_26413,plain,
join(one,converse(join(complement(sk1),complement(one)))) = top,
inference(superposition,[status(thm)],[c_13636,c_4932]) ).
tcf(c_26414,plain,
join(iPr_def_11,complement(join(complement(sk1),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13636,c_5482]) ).
tcf(c_26415,plain,
join(iPr_def_11,complement(join(complement(sk1),complement(iPr_def_12)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13636,c_16471]) ).
tcf(c_26416,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(sk1),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13636,c_11490]) ).
tcf(c_26417,plain,
! [X0: $i] : join(iPr_def_10,join(complement(sk1),join(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13636,c_11490]) ).
tcf(c_26418,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(complement(sk1),one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13636,c_12304]) ).
tcf(c_26419,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(complement(sk1),one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13636,c_12257]) ).
tcf(c_26420,plain,
! [X0: $i] : composition(top,join(X0,join(complement(sk1),one))) = top,
inference(superposition,[status(thm)],[c_13636,c_12194]) ).
tcf(c_26421,plain,
! [X0: $i] : composition(join(X0,join(complement(sk1),one)),top) = top,
inference(superposition,[status(thm)],[c_13636,c_10944]) ).
tcf(c_26422,plain,
! [X0: $i] : composition(iPr_def_12,join(complement(sk1),join(X0,one))) = iPr_def_12,
inference(superposition,[status(thm)],[c_13636,c_12304]) ).
tcf(c_26423,plain,
! [X0: $i] : composition(iPr_def_10,join(complement(sk1),join(X0,one))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13636,c_12257]) ).
tcf(c_26424,plain,
! [X0: $i] : composition(top,join(complement(sk1),join(X0,one))) = top,
inference(superposition,[status(thm)],[c_13636,c_12194]) ).
tcf(c_26425,plain,
! [X0: $i] : composition(join(complement(sk1),join(X0,one)),top) = top,
inference(superposition,[status(thm)],[c_13636,c_10944]) ).
tcf(c_26426,plain,
join(iPr_def_10,join(complement(sk1),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_13636,c_13712]) ).
tcf(c_26429,plain,
composition(join(one,complement(sk1)),top) = top,
inference(theory_normalisation,[status(thm)],[c_26405,c_64,c_63]) ).
tcf(c_26430,plain,
composition(top,join(one,complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_26404,c_64,c_63]) ).
tcf(c_26431,plain,
composition(iPr_def_10,join(one,complement(sk1))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26403,c_64,c_63]) ).
tcf(c_26432,plain,
composition(iPr_def_12,join(one,complement(sk1))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26402,c_64,c_63]) ).
tcf(c_26434,plain,
join(iPr_def_10,join(iPr_def_12,complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_26399,c_64,c_63]) ).
tcf(c_26436,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(sk1)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_26414,c_64,c_63]) ).
tcf(c_26440,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(sk1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26400,c_64,c_63]) ).
tcf(c_26443,plain,
! [X0: $i] : composition(join(one,join(X0,complement(sk1))),top) = top,
inference(theory_normalisation,[status(thm)],[c_26425,c_64,c_63]) ).
tcf(c_26444,plain,
! [X0: $i] : composition(top,join(one,join(X0,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26424,c_64,c_63]) ).
tcf(c_26445,plain,
! [X0: $i] : composition(iPr_def_10,join(one,join(X0,complement(sk1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26423,c_64,c_63]) ).
tcf(c_26446,plain,
! [X0: $i] : composition(iPr_def_12,join(one,join(X0,complement(sk1)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26422,c_64,c_63]) ).
tcf(c_26447,plain,
! [X0: $i] : composition(join(X0,join(one,complement(sk1))),top) = top,
inference(theory_normalisation,[status(thm)],[c_26421,c_64,c_63]) ).
tcf(c_26448,plain,
! [X0: $i] : composition(top,join(X0,join(one,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26420,c_64,c_63]) ).
tcf(c_26449,plain,
! [X0: $i] : composition(iPr_def_10,join(X0,join(one,complement(sk1)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26419,c_64,c_63]) ).
tcf(c_26450,plain,
! [X0: $i] : composition(iPr_def_12,join(X0,join(one,complement(sk1)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_26418,c_64,c_63]) ).
tcf(c_26451,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26417,c_64,c_63]) ).
tcf(c_26453,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26416,c_64,c_63]) ).
tcf(c_26455,plain,
join(iPr_def_11,complement(join(complement(iPr_def_12),complement(sk1)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_26415,c_64,c_63]) ).
tcf(c_26457,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26411,c_64,c_63]) ).
tcf(c_26459,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26410,c_64,c_63]) ).
tcf(c_26461,plain,
join(complement(sk1),complement(complement(sk1))) = top,
inference(light_normalisation,[status(thm)],[c_26392,c_13445]) ).
tcf(c_26462,plain,
! [X0: $i] : converse(join(complement(sk1),converse(X0))) = join(converse(complement(sk1)),X0),
inference(light_normalisation,[status(thm)],[c_26391,c_13445]) ).
tcf(c_26463,plain,
! [X0: $i] : join(iPr_def_12,join(complement(sk1),join(X0,complement(join(complement(sk1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_26387,c_64,c_63]) ).
tcf(c_26479,plain,
join(complement(iPr_def_12),top) = top,
inference(superposition,[status(thm)],[c_26280,c_3159]) ).
tcf(c_26480,plain,
join(complement(iPr_def_12),join(complement(sk1),complement(top))) = top,
inference(superposition,[status(thm)],[c_26280,c_433]) ).
tcf(c_26481,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(sk1),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_26280,c_64]) ).
tcf(c_26485,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(sk1))) = join(X0,top),
inference(superposition,[status(thm)],[c_26280,c_209]) ).
tcf(c_26498,plain,
join(top,complement(iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_26479,c_64,c_63]) ).
tcf(c_26500,plain,
join(complement(iPr_def_12),join(complement(top),complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_26480,c_64,c_63]) ).
tcf(c_26501,plain,
join(complement(iPr_def_12),join(zero,complement(sk1))) = top,
inference(light_normalisation,[status(thm)],[c_26500,c_121]) ).
tcf(c_26502,plain,
join(zero,join(complement(iPr_def_12),complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_26501,c_64,c_63]) ).
tcf(c_26505,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(sk1),X0)) = top,
inference(light_normalisation,[status(thm)],[c_26481,c_2640]) ).
tcf(c_26531,plain,
join(sk1,join(complement(iPr_def_12),complement(complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_26311,c_433]) ).
tcf(c_26532,plain,
! [X0: $i] : join(sk1,join(complement(iPr_def_12),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_26311,c_64]) ).
tcf(c_26533,plain,
! [X0: $i] : join(sk1,join(X0,complement(iPr_def_12))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_26311,c_209]) ).
tcf(c_26538,plain,
composition(join(iPr_def_10,complement(iPr_def_12)),top) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_26311,c_9784]) ).
tcf(c_26556,plain,
join(complement(iPr_def_12),join(composition(top,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_26279,c_433]) ).
tcf(c_26557,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_26279,c_64]) ).
tcf(c_26561,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_26279,c_209]) ).
tcf(c_26568,plain,
join(complement(iPr_def_12),join(complement(top),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_26556,c_64,c_63]) ).
tcf(c_26569,plain,
join(complement(iPr_def_12),join(zero,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_26568,c_121]) ).
tcf(c_26570,plain,
join(zero,join(complement(iPr_def_12),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_26569,c_64,c_63]) ).
tcf(c_26572,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_26561,c_2628]) ).
tcf(c_26573,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_26557,c_2640]) ).
tcf(c_26577,plain,
join(complement(iPr_def_12),join(composition(top,iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_26283,c_433]) ).
tcf(c_26578,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_26283,c_64]) ).
tcf(c_26582,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_26283,c_209]) ).
tcf(c_26589,plain,
join(complement(iPr_def_12),join(complement(top),composition(top,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_26577,c_64,c_63]) ).
tcf(c_26590,plain,
join(complement(iPr_def_12),join(zero,composition(top,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_26589,c_121]) ).
tcf(c_26591,plain,
join(zero,join(complement(iPr_def_12),composition(top,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_26590,c_64,c_63]) ).
tcf(c_26593,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_26582,c_2628]) ).
tcf(c_26594,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_12),X0)) = top,
inference(light_normalisation,[status(thm)],[c_26578,c_2640]) ).
tcf(c_26603,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(X1,complement(sk1)))) = top,
inference(superposition,[status(thm)],[c_64,c_26282]) ).
tcf(c_26613,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(join(X0,complement(sk1)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_26282,c_64]) ).
tcf(c_26618,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(X1,complement(sk1)))) = join(X0,top),
inference(superposition,[status(thm)],[c_26282,c_209]) ).
tcf(c_26619,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_12),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_26282,c_209]) ).
tcf(c_26643,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(complement(sk1),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_26613,c_64,c_63]) ).
tcf(c_26659,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(complement(sk1),X1))) = top,
inference(superposition,[status(thm)],[c_209,c_26505]) ).
tcf(c_26672,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(X0,one),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_1201,c_26505]) ).
tcf(c_26673,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(one,X0),complement(sk1))) = top,
inference(superposition,[status(thm)],[c_1194,c_26505]) ).
tcf(c_26684,plain,
! [X0: $i] : join(complement(iPr_def_12),join(join(complement(sk1),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_26505,c_433]) ).
tcf(c_26685,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(join(complement(sk1),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_26505,c_64]) ).
tcf(c_26689,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(complement(sk1),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_26505,c_209]) ).
tcf(c_26690,plain,
! [X0: $i] : join(converse(join(complement(iPr_def_12),complement(sk1))),X0) = converse(top),
inference(superposition,[status(thm)],[c_26505,c_434]) ).
tcf(c_26731,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(top),join(X0,complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26684,c_64,c_63]) ).
tcf(c_26732,plain,
! [X0: $i] : join(complement(iPr_def_12),join(zero,join(X0,complement(sk1)))) = top,
inference(light_normalisation,[status(thm)],[c_26731,c_121]) ).
tcf(c_26733,plain,
! [X0: $i] : join(zero,join(X0,join(complement(iPr_def_12),complement(sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26732,c_64,c_63]) ).
tcf(c_26736,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(sk1),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_26685,c_64,c_63]) ).
tcf(c_26756,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),composition(X0,composition(X1,converse(iPr_def_11)))) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_66,c_4352]) ).
tcf(c_26757,plain,
! [X0: $i] : join(converse(iPr_def_12),converse(composition(iPr_def_11,X0))) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_71,c_4352]) ).
tcf(c_26758,plain,
join(converse(iPr_def_12),converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_1118,c_4352]) ).
tcf(c_26761,plain,
join(converse(iPr_def_12),composition(iPr_def_11,converse(iPr_def_12))) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_4347,c_4352]) ).
tcf(c_26762,plain,
join(converse(iPr_def_12),zero) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_7654,c_4352]) ).
tcf(c_26763,plain,
join(converse(iPr_def_12),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_4352,c_3159]) ).
tcf(c_26764,plain,
! [X0: $i] : join(converse(iPr_def_12),join(composition(X0,converse(iPr_def_11)),complement(converse(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_4352,c_433]) ).
tcf(c_26765,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(composition(X0,converse(iPr_def_11)),X1)) = join(converse(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_4352,c_64]) ).
tcf(c_26766,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(X0,composition(X1,converse(iPr_def_11)))) = join(X0,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4352,c_209]) ).
tcf(c_26768,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,converse(composition(X0,converse(iPr_def_11)))),converse(X1)) = converse(composition(X1,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_4352,c_271]) ).
tcf(c_26770,plain,
! [X0: $i] : join(iPr_def_12,converse(composition(X0,converse(iPr_def_11)))) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4352,c_250]) ).
tcf(c_26771,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,iPr_def_12)),composition(X1,converse(iPr_def_11))) = join(converse(X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4352,c_422]) ).
tcf(c_26772,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(iPr_def_12),complement(composition(join(iPr_def_12,converse(composition(X1,converse(iPr_def_11)))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4352,c_382]) ).
tcf(c_26773,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_12,converse(composition(X1,converse(iPr_def_11)))),complement(composition(converse(iPr_def_12),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_4352,c_381]) ).
tcf(c_26774,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(iPr_def_12,converse(composition(X1,converse(iPr_def_11))))) = converse(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_4352,c_274]) ).
tcf(c_26775,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(iPr_def_11,converse(X0))) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_4352,c_359]) ).
tcf(c_26776,plain,
join(zero,converse(iPr_def_12)) = converse(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_26762,c_64,c_63]) ).
tcf(c_26778,plain,
join(converse(iPr_def_11),converse(iPr_def_12)) = converse(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_26758,c_64,c_63]) ).
tcf(c_26780,plain,
! [X0: $i] : join(converse(iPr_def_12),join(complement(converse(iPr_def_12)),composition(X0,converse(iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_26764,c_64,c_63]) ).
tcf(c_26874,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_26780,c_26778,c_26776,c_26775,c_26774,c_26773,c_26772,c_26771,c_26770,c_26768,c_26766,c_26765,c_26761,c_26763,c_26757,c_26756,c_26736,c_26733,c_26732,c_26731,c_26690,c_26689,c_26673,c_26672,c_26659,c_26643,c_26618,c_26603,c_26619,c_26594,c_26593,c_26591,c_26590,c_26589,c_26582,c_26578,c_26573,c_26572,c_26570,c_26569,c_26568,c_26561,c_26557,c_26538,c_26533,c_26532,c_26531,c_26505,c_26502,c_26501,c_26500,c_26498,c_26485,c_26481,c_26463,c_26462,c_26461,c_26459,c_26457,c_26455,c_26453,c_26451,c_26450,c_26449,c_26448,c_26447,c_26446,c_26445,c_26444,c_26443,c_26440,c_26436,c_26434,c_26432,c_26431,c_26430,c_26429,c_26426,c_26413,c_26412,c_26408,c_26407,c_26398,c_26393,c_26391,c_26377,c_26376,c_26389,c_26392,c_26347,c_26346,c_26343,c_26339,c_26338,c_26337,c_26336,c_26335,c_26334,c_26333,c_26332,c_26331,c_26330,c_26320,c_26316,c_26311,c_26310,c_26303,c_26302,c_26301,c_26300,c_26292,c_26263,c_26261,c_26260,c_26255,c_26254,c_26244,c_26238,c_26224,c_26223,c_26236,c_26283,c_26282,c_26280,c_26279,c_26239,c_26142,c_26141,c_26139,c_26137,c_26136,c_26135,c_26132,c_26131,c_26126,c_26119,c_26113,c_26112,c_26111,c_26110,c_26104,c_26128,c_26081,c_26066,c_26107,c_25453,c_25452,c_25451,c_25450,c_25449,c_25448,c_25447,c_25446,c_25445,c_25444,c_25442,c_25441,c_25440,c_25439,c_25438,c_25437,c_25434,c_25431,c_25430,c_25429,c_25428,c_25427,c_25426,c_25425,c_25424,c_25423,c_25422,c_25421,c_25420,c_25419,c_25418,c_25417,c_25416,c_25415,c_25414,c_25413,c_25412,c_25411,c_25410,c_25409,c_25408,c_25407,c_25406,c_25405,c_25404,c_25403,c_25402,c_25401,c_25400,c_25399,c_25398,c_25397,c_25396,c_25394,c_25393,c_25392,c_25391,c_25390,c_25389,c_25388,c_25387,c_25386,c_25385,c_25384,c_25383,c_25382,c_25381,c_25374,c_25373,c_25370,c_25369,c_25364,c_25363,c_25362,c_25361,c_25360,c_25359,c_25358,c_25357,c_25346,c_25345,c_25344,c_25343,c_25342,c_25341,c_25340,c_25339,c_25338,c_25330,c_25329,c_25319,c_25318,c_25317,c_25316,c_25315,c_25314,c_25305,c_25297,c_25290,c_25289,c_25288,c_25287,c_25286,c_25285,c_25284,c_25283,c_25282,c_25281,c_25280,c_25279,c_25278,c_25277,c_25276,c_25275,c_25274,c_25273,c_25272,c_25271,c_25270,c_25269,c_25268,c_25267,c_25266,c_25265,c_25264,c_25263,c_25262,c_25261,c_25260,c_25259,c_25258,c_25257,c_25256,c_25255,c_25254,c_25253,c_25252,c_25251,c_25250,c_25249,c_25248,c_25247,c_25246,c_25245,c_25244,c_25243,c_25242,c_25241,c_25240,c_25239,c_25238,c_25237,c_25236,c_25235,c_25234,c_25233,c_25232,c_25231,c_25230,c_25229,c_25228,c_25227,c_25226,c_25225,c_25224,c_25223,c_25222,c_25221,c_25220,c_25219,c_25218,c_25217,c_25216,c_25215,c_25214,c_25213,c_25212,c_25211,c_25210,c_25209,c_25208,c_25207,c_25206,c_25205,c_25204,c_25203,c_25202,c_25201,c_25200,c_25199,c_25198,c_25197,c_25196,c_25195,c_25194,c_25193,c_25192,c_25191,c_25190,c_25189,c_25188,c_25187,c_25186,c_25185,c_25183,c_25182,c_25181,c_25180,c_25179,c_25178,c_25177,c_25176,c_25175,c_25174,c_25173,c_25172,c_25171,c_25170,c_25169,c_25168,c_25167,c_25166,c_25165,c_25164,c_25163,c_25162,c_25161,c_25160,c_25159,c_25158,c_25157,c_25156,c_25155,c_25154,c_25153,c_25152,c_25151,c_25150,c_25149,c_25148,c_25147,c_25146,c_25145,c_25144,c_25143,c_25142,c_25141,c_25140,c_25139,c_25138,c_25137,c_25136,c_25135,c_25134,c_25133,c_25132,c_25131,c_25130,c_25129,c_25128,c_25127,c_25126,c_25125,c_25124,c_25123,c_25122,c_25121,c_25120,c_25119,c_25118,c_25117,c_25116,c_25115,c_25114,c_25113,c_25112,c_25111,c_25110,c_25109,c_25108,c_25107,c_25106,c_25105,c_25104,c_25103,c_25102,c_25101,c_25100,c_25099,c_25098,c_25097,c_25096,c_25095,c_25094,c_25093,c_25092,c_25091,c_25090,c_25089,c_25088,c_25087,c_25086,c_25085,c_25084,c_25083,c_25082,c_25081,c_25080,c_25079,c_25078,c_25077,c_25076,c_25075,c_25074,c_25073,c_25072,c_25071,c_25070,c_25069,c_25068,c_25067,c_25066,c_25065,c_25064,c_25063,c_25062,c_25061,c_25060,c_25059,c_25058,c_25057,c_25056,c_25055,c_25054,c_25053,c_25052,c_25051,c_25050,c_25049,c_25048,c_25047,c_25046,c_25045,c_25044,c_25043,c_25042,c_25041,c_25040,c_25039,c_25038,c_25037,c_25035,c_25034,c_25033,c_25032,c_25031,c_25030,c_25029,c_25028,c_25027,c_25026,c_25025,c_25024,c_25023,c_25022,c_25021,c_25016,c_25013,c_25012,c_25002,c_25001,c_24951,c_24950,c_24936,c_24935,c_24928,c_24921,c_24748,c_24747,c_24746,c_24745,c_24744,c_24743,c_24742,c_24741,c_24740,c_24739,c_24738,c_24737,c_24736,c_24735,c_24734,c_24733,c_24732,c_24730,c_24723,c_24721,c_24720,c_24718,c_24717,c_24713,c_24712,c_24709,c_24708,c_24707,c_24706,c_24705,c_24703,c_24701,c_24697,c_24696,c_24695,c_24694,c_24693,c_24692,c_24691,c_24689,c_24686,c_24728,c_24668,c_24663,c_24662,c_24620,c_24557,c_24556,c_24555,c_24554,c_24553,c_24542,c_24541,c_24529,c_24528,c_24516,c_24506,c_24505,c_24504,c_24503,c_24502,c_24492,c_24491,c_24487,c_24226,c_24225,c_24224,c_24223,c_24222,c_24221,c_24220,c_24219,c_24218,c_24217,c_24216,c_24215,c_24214,c_24213,c_24212,c_24211,c_24210,c_24209,c_24208,c_24206,c_24196,c_24194,c_24193,c_24191,c_24190,c_24186,c_24185,c_24182,c_24181,c_24180,c_24179,c_24178,c_24176,c_24174,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL050-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 07:39:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 22.35/4.27 % SZS status Started for theBenchmark.p
% 22.35/4.27 % SZS status Unsatisfiable for theBenchmark.p
% 22.35/4.27
% 22.35/4.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.35/4.27
% 22.35/4.27 % ------ iProver source info
% 22.35/4.27
% 22.35/4.27 % git: date: 2026-07-19 20:42:38 +0200
% 22.35/4.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.35/4.27 % git: non_committed_changes: false
% 22.35/4.27
% 22.35/4.27 % ------ Parsing...% successful
% 22.35/4.27
% 22.35/4.27
% 22.35/4.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.35/4.27
% 22.35/4.27 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 22.35/4.27
% 22.35/4.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.35/4.27
% 22.35/4.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 22.35/4.27 % ------ Proving...
% 22.35/4.27 % ------ Problem Properties
% 22.35/4.27
% 22.35/4.27 %
% 22.35/4.27 % clauses 17
% 22.35/4.27 % conjectures 1
% 22.35/4.27 % EPR 1
% 22.35/4.27 % Horn 17
% 22.35/4.27 % unary 16
% 22.35/4.27 % binary 1
% 22.35/4.27 % lits 18
% 22.35/4.27 % lits eq 18
% 22.35/4.27 % fd_pure 0
% 22.35/4.27 % fd_pseudo 0
% 22.35/4.27 % fd_cond 0
% 22.35/4.27 % fd_pseudo_cond 0
% 22.35/4.27 % AC symbols 1
% 22.35/4.27
% 22.35/4.27 % ------ Schedule dynamic 5 is on
% 22.35/4.27
% 22.35/4.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.35/4.27
% 22.35/4.27
% 22.35/4.27 % ------
% 22.35/4.27 % Current options:
% 22.35/4.27 % ------
% 22.35/4.27
% 22.35/4.27
% 22.35/4.27 %
% 22.35/4.27
% 22.35/4.27 % ------ Proving...
% 22.35/4.27 %
% 22.35/4.27
% 22.35/4.27 % SZS status Unsatisfiable for theBenchmark.p
% 22.35/4.27
% 22.35/4.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.69/4.44
% 26.69/4.44
%------------------------------------------------------------------------------